x[i][0]):\n\t\ts+=x[i][1]\n\telse:\n\t\twin=False\n\nprint \"YES\" if win else \"NO\""},"language":{"kind":"class label","value":"1","name":"Python2"},"test_samples":{"kind":"string","value":"{\n \"input\": [\n \"2 2\\n1 99\\n100 0\\n\",\n \"10 1\\n100 100\\n\",\n \"10 1\\n10 10\\n\",\n \"4 2\\n2 1\\n10 3\\n\",\n \"2 5\\n5 1\\n2 1\\n3 1\\n1 1\\n4 1\\n\",\n \"1 2\\n100 1\\n100 1\\n\",\n \"2 3\\n1 1\\n1 10\\n17 2\\n\",\n \"10 10\\n2 10\\n3 10\\n4 10\\n2 20\\n3 20\\n3 20\\n100 50\\n100 30\\n150 30\\n200 10\\n\",\n \"6 2\\n496 0\\n28 8128\\n\",\n \"50 3\\n39 0\\n38 0\\n37 0\\n\",\n \"10 1\\n1 1\\n\",\n \"2 2\\n3 5\\n1 2\\n\",\n \"999 2\\n1010 10\\n67 89\\n\",\n \"123 2\\n78 10\\n130 0\\n\",\n \"2 2\\n1 98\\n100 0\\n\",\n \"4 1\\n100 1000\\n\",\n \"1 2\\n1 0\\n1 0\\n\",\n \"9983 34\\n6626 5976\\n4448 3568\\n2794 2309\\n3741 8806\\n4754 129\\n2780 9275\\n5785 9243\\n3915 6159\\n2609 4331\\n238 6756\\n6987 3887\\n3384 5711\\n4349 5563\\n1135 4483\\n9151 1584\\n1500 766\\n1608 4440\\n7768 5005\\n7205 2360\\n9088 2933\\n3923 7814\\n7538 9372\\n7504 165\\n5277 1636\\n2061 4384\\n7668 1422\\n9582 2121\\n5483 7967\\n487 2944\\n7432 5794\\n8208 8970\\n5747 3800\\n4322 3920\\n8261 9319\\n\",\n \"2 5\\n1 1\\n2 1\\n3 1\\n4 1\\n5 1\\n\",\n \"10 3\\n12 0\\n13 0\\n14 0\\n\",\n \"5 1\\n6 7\\n\",\n \"5 10\\n20 1\\n4 3\\n5 1\\n100 1\\n4 2\\n101 1\\n10 0\\n10 2\\n17 3\\n12 84\\n\",\n \"5 10\\n7 0\\n7 0\\n10 0\\n10 0\\n7 2\\n4 2\\n9 0\\n6 1\\n7 0\\n7 0\\n\",\n \"5 3\\n13 20\\n3 10\\n15 5\\n\",\n \"11 2\\n22 0\\n33 0\\n\",\n \"100 5\\n99 100\\n199 1\\n199 1\\n199 1\\n202 1\\n\",\n \"10 4\\n20 1\\n3 5\\n2 4\\n1 3\\n\",\n \"1 3\\n1 10\\n1 11\\n1 9\\n\",\n \"1 1\\n10000 1\\n\",\n \"14 3\\n1 5\\n1 6\\n1 7\\n\",\n \"3 3\\n1 1\\n1 2\\n4 0\\n\",\n \"1 10\\n8 8\\n54 3\\n1 8\\n26 3\\n16 1\\n29 9\\n38 10\\n57 8\\n48 6\\n17 9\\n\",\n \"2 2\\n1 2\\n3 5\\n\",\n \"10 1\\n10 0\\n\",\n \"2 5\\n5 1\\n2 1\\n3 2\\n1 1\\n4 1\\n\",\n \"1 2\\n100 1\\n101 1\\n\",\n \"2 3\\n1 1\\n1 10\\n20 2\\n\",\n \"10 10\\n2 10\\n3 10\\n4 10\\n3 20\\n3 20\\n3 20\\n100 50\\n100 30\\n150 30\\n200 10\\n\",\n \"6 2\\n880 0\\n28 8128\\n\",\n \"50 3\\n39 1\\n38 0\\n37 0\\n\",\n \"10 1\\n1 2\\n\",\n \"999 2\\n1110 10\\n67 89\\n\",\n \"123 2\\n78 10\\n130 1\\n\",\n \"2 2\\n1 98\\n101 0\\n\",\n \"4 1\\n100 1001\\n\",\n \"9983 34\\n6626 5976\\n4448 3568\\n2794 2309\\n3741 8806\\n4754 129\\n2780 9275\\n5785 9243\\n3915 6159\\n2609 4331\\n238 6756\\n6987 3887\\n3384 5711\\n4349 5563\\n1135 4483\\n9151 1584\\n1500 766\\n1608 4440\\n7768 5005\\n7205 2360\\n9088 2933\\n3923 7814\\n7538 9372\\n7504 165\\n5277 155\\n2061 4384\\n7668 1422\\n9582 2121\\n5483 7967\\n487 2944\\n7432 5794\\n8208 8970\\n5747 3800\\n4322 3920\\n8261 9319\\n\",\n \"10 3\\n12 0\\n13 0\\n8 0\\n\",\n \"5 10\\n7 0\\n7 0\\n10 0\\n10 0\\n7 2\\n1 2\\n9 0\\n6 1\\n7 0\\n7 0\\n\",\n \"5 3\\n13 20\\n3 10\\n15 8\\n\",\n \"101 5\\n99 100\\n199 1\\n199 1\\n199 1\\n202 1\\n\",\n \"10 4\\n20 1\\n3 7\\n2 4\\n1 3\\n\",\n \"1 3\\n1 10\\n1 16\\n1 9\\n\",\n \"1 1\\n10010 1\\n\",\n \"14 3\\n1 5\\n2 6\\n1 7\\n\",\n \"3 3\\n1 1\\n2 2\\n4 0\\n\",\n \"1 10\\n8 8\\n54 3\\n1 8\\n26 3\\n16 1\\n29 9\\n63 10\\n57 8\\n48 6\\n17 9\\n\",\n \"4 2\\n1 2\\n3 5\\n\",\n \"2 2\\n1 99\\n101 0\\n\",\n \"10 1\\n110 100\\n\",\n \"10 1\\n14 0\\n\",\n \"1 5\\n5 1\\n2 1\\n3 2\\n1 1\\n4 1\\n\",\n \"1 2\\n100 2\\n101 1\\n\",\n \"2 3\\n1 1\\n1 10\\n24 2\\n\",\n \"10 10\\n2 10\\n3 10\\n0 10\\n3 20\\n3 20\\n3 20\\n100 50\\n100 30\\n150 30\\n200 10\\n\",\n \"6 2\\n880 -1\\n28 8128\\n\",\n \"50 3\\n8 1\\n38 0\\n37 0\\n\",\n \"11 1\\n1 2\\n\",\n \"999 2\\n1110 10\\n67 55\\n\",\n \"123 2\\n78 4\\n130 1\\n\",\n \"2 2\\n1 53\\n101 0\\n\",\n \"7 1\\n100 1001\\n\",\n \"9983 34\\n6626 5976\\n4448 3568\\n2794 2309\\n3741 8806\\n4754 129\\n2780 9275\\n5785 9243\\n3915 6159\\n2609 4331\\n238 6756\\n6987 3887\\n3384 5711\\n4349 5563\\n1135 4483\\n9151 1584\\n1500 766\\n1608 4440\\n7768 5005\\n7205 2360\\n9088 2933\\n3923 6845\\n7538 9372\\n7504 165\\n5277 155\\n2061 4384\\n7668 1422\\n9582 2121\\n5483 7967\\n487 2944\\n7432 5794\\n8208 8970\\n5747 3800\\n4322 3920\\n8261 9319\\n\",\n \"0 10\\n7 0\\n7 0\\n10 0\\n10 0\\n7 2\\n1 2\\n9 0\\n6 1\\n7 0\\n7 0\\n\",\n \"5 3\\n13 20\\n5 10\\n15 8\\n\",\n \"101 5\\n99 100\\n199 2\\n199 1\\n199 1\\n202 1\\n\",\n \"10 4\\n40 1\\n3 7\\n2 4\\n1 3\\n\",\n \"0 3\\n1 10\\n1 16\\n1 9\\n\",\n \"2 1\\n10010 1\\n\",\n \"14 3\\n2 5\\n2 6\\n1 7\\n\",\n \"3 3\\n1 2\\n2 2\\n4 0\\n\",\n \"1 10\\n8 8\\n54 3\\n1 8\\n26 3\\n16 2\\n29 9\\n63 10\\n57 8\\n48 6\\n17 9\\n\",\n \"4 2\\n1 2\\n5 5\\n\",\n \"2 2\\n1 99\\n111 0\\n\",\n \"10 1\\n110 110\\n\",\n \"1 5\\n4 1\\n2 1\\n3 2\\n1 1\\n4 1\\n\",\n \"1 2\\n101 2\\n101 1\\n\",\n \"10 10\\n2 10\\n1 10\\n0 10\\n3 20\\n3 20\\n3 20\\n100 50\\n100 30\\n150 30\\n200 10\\n\",\n \"50 3\\n8 1\\n38 0\\n37 -1\\n\",\n \"11 1\\n2 2\\n\",\n \"999 2\\n1110 10\\n67 56\\n\",\n \"7 1\\n110 1001\\n\",\n \"9983 34\\n6626 5976\\n4448 3568\\n2794 2309\\n3741 8806\\n4754 129\\n2780 9275\\n5785 9243\\n3915 6159\\n2609 4331\\n238 6756\\n6987 3887\\n3384 5711\\n4349 5563\\n1135 4483\\n9151 1584\\n1500 766\\n1608 4440\\n7768 5005\\n7205 2360\\n9088 2933\\n3923 6845\\n7538 9372\\n7504 165\\n5277 155\\n2061 4384\\n7668 1422\\n3922 2121\\n5483 7967\\n487 2944\\n7432 5794\\n8208 8970\\n5747 3800\\n4322 3920\\n8261 9319\\n\",\n \"0 10\\n7 0\\n7 0\\n10 0\\n10 0\\n7 2\\n1 2\\n9 0\\n6 0\\n7 0\\n7 0\\n\",\n \"5 3\\n13 20\\n6 10\\n15 8\\n\",\n \"10 4\\n43 1\\n3 7\\n2 4\\n1 3\\n\",\n \"0 3\\n1 10\\n1 16\\n1 15\\n\",\n \"2 1\\n10000 1\\n\",\n \"14 3\\n2 5\\n2 7\\n1 7\\n\",\n \"3 3\\n0 2\\n2 2\\n4 0\\n\",\n \"1 10\\n8 8\\n54 3\\n1 8\\n26 3\\n16 2\\n29 9\\n63 10\\n57 8\\n48 0\\n17 9\\n\",\n \"4 2\\n1 2\\n5 10\\n\",\n \"17 1\\n110 110\\n\",\n \"2 5\\n4 1\\n2 1\\n3 2\\n1 1\\n4 1\\n\"\n ],\n \"output\": [\n \"YES\\n\",\n \"NO\\n\",\n \"NO\\n\",\n \"NO\\n\",\n \"YES\\n\",\n \"NO\\n\",\n \"NO\\n\",\n \"NO\\n\",\n \"NO\\n\",\n \"YES\\n\",\n \"YES\\n\",\n \"YES\\n\",\n \"YES\\n\",\n \"YES\\n\",\n \"NO\\n\",\n \"NO\\n\",\n \"NO\\n\",\n \"YES\\n\",\n \"YES\\n\",\n \"NO\\n\",\n \"NO\\n\",\n \"YES\\n\",\n \"NO\\n\",\n \"YES\\n\",\n \"NO\\n\",\n \"YES\\n\",\n \"YES\\n\",\n \"NO\\n\",\n \"NO\\n\",\n \"YES\\n\",\n \"YES\\n\",\n \"NO\\n\",\n \"YES\\n\",\n \"NO\\n\",\n \"YES\\n\",\n \"NO\\n\",\n \"NO\\n\",\n \"NO\\n\",\n \"NO\\n\",\n \"YES\\n\",\n \"YES\\n\",\n \"NO\\n\",\n \"YES\\n\",\n \"NO\\n\",\n \"NO\\n\",\n \"YES\\n\",\n \"NO\\n\",\n \"NO\\n\",\n \"YES\\n\",\n \"YES\\n\",\n \"YES\\n\",\n \"NO\\n\",\n \"NO\\n\",\n \"YES\\n\",\n \"YES\\n\",\n \"NO\\n\",\n \"YES\\n\",\n \"NO\\n\",\n \"NO\\n\",\n \"NO\\n\",\n \"NO\\n\",\n \"NO\\n\",\n \"NO\\n\",\n \"NO\\n\",\n \"NO\\n\",\n \"YES\\n\",\n \"YES\\n\",\n \"NO\\n\",\n \"NO\\n\",\n \"NO\\n\",\n \"NO\\n\",\n \"YES\\n\",\n \"NO\\n\",\n \"NO\\n\",\n \"YES\\n\",\n \"NO\\n\",\n \"NO\\n\",\n \"NO\\n\",\n \"YES\\n\",\n \"YES\\n\",\n \"NO\\n\",\n \"YES\\n\",\n \"NO\\n\",\n \"NO\\n\",\n \"NO\\n\",\n \"NO\\n\",\n \"NO\\n\",\n \"YES\\n\",\n \"YES\\n\",\n \"NO\\n\",\n \"NO\\n\",\n \"YES\\n\",\n \"NO\\n\",\n \"NO\\n\",\n \"NO\\n\",\n \"NO\\n\",\n \"NO\\n\",\n \"YES\\n\",\n \"YES\\n\",\n \"NO\\n\",\n \"YES\\n\",\n \"NO\\n\",\n \"YES\\n\"\n ]\n}"},"source":{"kind":"class label","value":"2","name":"CODEFORCES"}}},{"rowIdx":38239,"cells":{"id":{"kind":"string","value":"230_A. Dragons_38239"},"description":{"kind":"string","value":"Kirito is stuck on a level of the MMORPG he is playing now. To move on in the game, he's got to defeat all n dragons that live on this level. Kirito and the dragons have strength, which is represented by an integer. In the duel between two opponents the duel's outcome is determined by their strength. Initially, Kirito's strength equals s.\n\nIf Kirito starts duelling with the i-th (1 ≤ i ≤ n) dragon and Kirito's strength is not greater than the dragon's strength xi, then Kirito loses the duel and dies. But if Kirito's strength is greater than the dragon's strength, then he defeats the dragon and gets a bonus strength increase by yi.\n\nKirito can fight the dragons in any order. Determine whether he can move on to the next level of the game, that is, defeat all dragons without a single loss.\n\nInput\n\nThe first line contains two space-separated integers s and n (1 ≤ s ≤ 104, 1 ≤ n ≤ 103). Then n lines follow: the i-th line contains space-separated integers xi and yi (1 ≤ xi ≤ 104, 0 ≤ yi ≤ 104) — the i-th dragon's strength and the bonus for defeating it.\n\nOutput\n\nOn a single line print \"YES\" (without the quotes), if Kirito can move on to the next level and print \"NO\" (without the quotes), if he can't.\n\nExamples\n\nInput\n\n2 2\n1 99\n100 0\n\n\nOutput\n\nYES\n\n\nInput\n\n10 1\n100 100\n\n\nOutput\n\nNO\n\nNote\n\nIn the first sample Kirito's strength initially equals 2. As the first dragon's strength is less than 2, Kirito can fight it and defeat it. After that he gets the bonus and his strength increases to 2 + 99 = 101. Now he can defeat the second dragon and move on to the next level.\n\nIn the second sample Kirito's strength is too small to defeat the only dragon and win."},"code":{"kind":"string","value":"#include \nusing namespace std;\nint main() {\n int S, n;\n cin >> S >> n;\n pair p[n];\n bool f = 0;\n for (int i = 0; i < n; i++) {\n cin >> p[i].first >> p[i].second;\n }\n sort(p, p + n);\n for (int i = 0; i < n; i++) {\n if (S > p[i].first)\n S += p[i].second;\n else\n f = 1;\n }\n if (f)\n printf(\"NO\");\n else\n printf(\"YES\");\n}\n"},"language":{"kind":"class label","value":"2","name":"C++"},"test_samples":{"kind":"string","value":"{\n \"input\": [\n \"2 2\\n1 99\\n100 0\\n\",\n \"10 1\\n100 100\\n\",\n \"10 1\\n10 10\\n\",\n \"4 2\\n2 1\\n10 3\\n\",\n \"2 5\\n5 1\\n2 1\\n3 1\\n1 1\\n4 1\\n\",\n \"1 2\\n100 1\\n100 1\\n\",\n \"2 3\\n1 1\\n1 10\\n17 2\\n\",\n \"10 10\\n2 10\\n3 10\\n4 10\\n2 20\\n3 20\\n3 20\\n100 50\\n100 30\\n150 30\\n200 10\\n\",\n \"6 2\\n496 0\\n28 8128\\n\",\n \"50 3\\n39 0\\n38 0\\n37 0\\n\",\n \"10 1\\n1 1\\n\",\n \"2 2\\n3 5\\n1 2\\n\",\n \"999 2\\n1010 10\\n67 89\\n\",\n \"123 2\\n78 10\\n130 0\\n\",\n \"2 2\\n1 98\\n100 0\\n\",\n \"4 1\\n100 1000\\n\",\n \"1 2\\n1 0\\n1 0\\n\",\n \"9983 34\\n6626 5976\\n4448 3568\\n2794 2309\\n3741 8806\\n4754 129\\n2780 9275\\n5785 9243\\n3915 6159\\n2609 4331\\n238 6756\\n6987 3887\\n3384 5711\\n4349 5563\\n1135 4483\\n9151 1584\\n1500 766\\n1608 4440\\n7768 5005\\n7205 2360\\n9088 2933\\n3923 7814\\n7538 9372\\n7504 165\\n5277 1636\\n2061 4384\\n7668 1422\\n9582 2121\\n5483 7967\\n487 2944\\n7432 5794\\n8208 8970\\n5747 3800\\n4322 3920\\n8261 9319\\n\",\n \"2 5\\n1 1\\n2 1\\n3 1\\n4 1\\n5 1\\n\",\n \"10 3\\n12 0\\n13 0\\n14 0\\n\",\n \"5 1\\n6 7\\n\",\n \"5 10\\n20 1\\n4 3\\n5 1\\n100 1\\n4 2\\n101 1\\n10 0\\n10 2\\n17 3\\n12 84\\n\",\n \"5 10\\n7 0\\n7 0\\n10 0\\n10 0\\n7 2\\n4 2\\n9 0\\n6 1\\n7 0\\n7 0\\n\",\n \"5 3\\n13 20\\n3 10\\n15 5\\n\",\n \"11 2\\n22 0\\n33 0\\n\",\n \"100 5\\n99 100\\n199 1\\n199 1\\n199 1\\n202 1\\n\",\n \"10 4\\n20 1\\n3 5\\n2 4\\n1 3\\n\",\n \"1 3\\n1 10\\n1 11\\n1 9\\n\",\n \"1 1\\n10000 1\\n\",\n \"14 3\\n1 5\\n1 6\\n1 7\\n\",\n \"3 3\\n1 1\\n1 2\\n4 0\\n\",\n \"1 10\\n8 8\\n54 3\\n1 8\\n26 3\\n16 1\\n29 9\\n38 10\\n57 8\\n48 6\\n17 9\\n\",\n \"2 2\\n1 2\\n3 5\\n\",\n \"10 1\\n10 0\\n\",\n \"2 5\\n5 1\\n2 1\\n3 2\\n1 1\\n4 1\\n\",\n \"1 2\\n100 1\\n101 1\\n\",\n \"2 3\\n1 1\\n1 10\\n20 2\\n\",\n \"10 10\\n2 10\\n3 10\\n4 10\\n3 20\\n3 20\\n3 20\\n100 50\\n100 30\\n150 30\\n200 10\\n\",\n \"6 2\\n880 0\\n28 8128\\n\",\n \"50 3\\n39 1\\n38 0\\n37 0\\n\",\n \"10 1\\n1 2\\n\",\n \"999 2\\n1110 10\\n67 89\\n\",\n \"123 2\\n78 10\\n130 1\\n\",\n \"2 2\\n1 98\\n101 0\\n\",\n \"4 1\\n100 1001\\n\",\n \"9983 34\\n6626 5976\\n4448 3568\\n2794 2309\\n3741 8806\\n4754 129\\n2780 9275\\n5785 9243\\n3915 6159\\n2609 4331\\n238 6756\\n6987 3887\\n3384 5711\\n4349 5563\\n1135 4483\\n9151 1584\\n1500 766\\n1608 4440\\n7768 5005\\n7205 2360\\n9088 2933\\n3923 7814\\n7538 9372\\n7504 165\\n5277 155\\n2061 4384\\n7668 1422\\n9582 2121\\n5483 7967\\n487 2944\\n7432 5794\\n8208 8970\\n5747 3800\\n4322 3920\\n8261 9319\\n\",\n \"10 3\\n12 0\\n13 0\\n8 0\\n\",\n \"5 10\\n7 0\\n7 0\\n10 0\\n10 0\\n7 2\\n1 2\\n9 0\\n6 1\\n7 0\\n7 0\\n\",\n \"5 3\\n13 20\\n3 10\\n15 8\\n\",\n \"101 5\\n99 100\\n199 1\\n199 1\\n199 1\\n202 1\\n\",\n \"10 4\\n20 1\\n3 7\\n2 4\\n1 3\\n\",\n \"1 3\\n1 10\\n1 16\\n1 9\\n\",\n \"1 1\\n10010 1\\n\",\n \"14 3\\n1 5\\n2 6\\n1 7\\n\",\n \"3 3\\n1 1\\n2 2\\n4 0\\n\",\n \"1 10\\n8 8\\n54 3\\n1 8\\n26 3\\n16 1\\n29 9\\n63 10\\n57 8\\n48 6\\n17 9\\n\",\n \"4 2\\n1 2\\n3 5\\n\",\n \"2 2\\n1 99\\n101 0\\n\",\n \"10 1\\n110 100\\n\",\n \"10 1\\n14 0\\n\",\n \"1 5\\n5 1\\n2 1\\n3 2\\n1 1\\n4 1\\n\",\n \"1 2\\n100 2\\n101 1\\n\",\n \"2 3\\n1 1\\n1 10\\n24 2\\n\",\n \"10 10\\n2 10\\n3 10\\n0 10\\n3 20\\n3 20\\n3 20\\n100 50\\n100 30\\n150 30\\n200 10\\n\",\n \"6 2\\n880 -1\\n28 8128\\n\",\n \"50 3\\n8 1\\n38 0\\n37 0\\n\",\n \"11 1\\n1 2\\n\",\n \"999 2\\n1110 10\\n67 55\\n\",\n \"123 2\\n78 4\\n130 1\\n\",\n \"2 2\\n1 53\\n101 0\\n\",\n \"7 1\\n100 1001\\n\",\n \"9983 34\\n6626 5976\\n4448 3568\\n2794 2309\\n3741 8806\\n4754 129\\n2780 9275\\n5785 9243\\n3915 6159\\n2609 4331\\n238 6756\\n6987 3887\\n3384 5711\\n4349 5563\\n1135 4483\\n9151 1584\\n1500 766\\n1608 4440\\n7768 5005\\n7205 2360\\n9088 2933\\n3923 6845\\n7538 9372\\n7504 165\\n5277 155\\n2061 4384\\n7668 1422\\n9582 2121\\n5483 7967\\n487 2944\\n7432 5794\\n8208 8970\\n5747 3800\\n4322 3920\\n8261 9319\\n\",\n \"0 10\\n7 0\\n7 0\\n10 0\\n10 0\\n7 2\\n1 2\\n9 0\\n6 1\\n7 0\\n7 0\\n\",\n \"5 3\\n13 20\\n5 10\\n15 8\\n\",\n \"101 5\\n99 100\\n199 2\\n199 1\\n199 1\\n202 1\\n\",\n \"10 4\\n40 1\\n3 7\\n2 4\\n1 3\\n\",\n \"0 3\\n1 10\\n1 16\\n1 9\\n\",\n \"2 1\\n10010 1\\n\",\n \"14 3\\n2 5\\n2 6\\n1 7\\n\",\n \"3 3\\n1 2\\n2 2\\n4 0\\n\",\n \"1 10\\n8 8\\n54 3\\n1 8\\n26 3\\n16 2\\n29 9\\n63 10\\n57 8\\n48 6\\n17 9\\n\",\n \"4 2\\n1 2\\n5 5\\n\",\n \"2 2\\n1 99\\n111 0\\n\",\n \"10 1\\n110 110\\n\",\n \"1 5\\n4 1\\n2 1\\n3 2\\n1 1\\n4 1\\n\",\n \"1 2\\n101 2\\n101 1\\n\",\n \"10 10\\n2 10\\n1 10\\n0 10\\n3 20\\n3 20\\n3 20\\n100 50\\n100 30\\n150 30\\n200 10\\n\",\n \"50 3\\n8 1\\n38 0\\n37 -1\\n\",\n \"11 1\\n2 2\\n\",\n \"999 2\\n1110 10\\n67 56\\n\",\n \"7 1\\n110 1001\\n\",\n \"9983 34\\n6626 5976\\n4448 3568\\n2794 2309\\n3741 8806\\n4754 129\\n2780 9275\\n5785 9243\\n3915 6159\\n2609 4331\\n238 6756\\n6987 3887\\n3384 5711\\n4349 5563\\n1135 4483\\n9151 1584\\n1500 766\\n1608 4440\\n7768 5005\\n7205 2360\\n9088 2933\\n3923 6845\\n7538 9372\\n7504 165\\n5277 155\\n2061 4384\\n7668 1422\\n3922 2121\\n5483 7967\\n487 2944\\n7432 5794\\n8208 8970\\n5747 3800\\n4322 3920\\n8261 9319\\n\",\n \"0 10\\n7 0\\n7 0\\n10 0\\n10 0\\n7 2\\n1 2\\n9 0\\n6 0\\n7 0\\n7 0\\n\",\n \"5 3\\n13 20\\n6 10\\n15 8\\n\",\n \"10 4\\n43 1\\n3 7\\n2 4\\n1 3\\n\",\n \"0 3\\n1 10\\n1 16\\n1 15\\n\",\n \"2 1\\n10000 1\\n\",\n \"14 3\\n2 5\\n2 7\\n1 7\\n\",\n \"3 3\\n0 2\\n2 2\\n4 0\\n\",\n \"1 10\\n8 8\\n54 3\\n1 8\\n26 3\\n16 2\\n29 9\\n63 10\\n57 8\\n48 0\\n17 9\\n\",\n \"4 2\\n1 2\\n5 10\\n\",\n \"17 1\\n110 110\\n\",\n \"2 5\\n4 1\\n2 1\\n3 2\\n1 1\\n4 1\\n\"\n ],\n \"output\": [\n \"YES\\n\",\n \"NO\\n\",\n \"NO\\n\",\n \"NO\\n\",\n \"YES\\n\",\n \"NO\\n\",\n \"NO\\n\",\n \"NO\\n\",\n \"NO\\n\",\n \"YES\\n\",\n \"YES\\n\",\n \"YES\\n\",\n \"YES\\n\",\n \"YES\\n\",\n \"NO\\n\",\n \"NO\\n\",\n \"NO\\n\",\n \"YES\\n\",\n \"YES\\n\",\n \"NO\\n\",\n \"NO\\n\",\n \"YES\\n\",\n \"NO\\n\",\n \"YES\\n\",\n \"NO\\n\",\n \"YES\\n\",\n \"YES\\n\",\n \"NO\\n\",\n \"NO\\n\",\n \"YES\\n\",\n \"YES\\n\",\n \"NO\\n\",\n \"YES\\n\",\n \"NO\\n\",\n \"YES\\n\",\n \"NO\\n\",\n \"NO\\n\",\n \"NO\\n\",\n \"NO\\n\",\n \"YES\\n\",\n \"YES\\n\",\n \"NO\\n\",\n \"YES\\n\",\n \"NO\\n\",\n \"NO\\n\",\n \"YES\\n\",\n \"NO\\n\",\n \"NO\\n\",\n \"YES\\n\",\n \"YES\\n\",\n \"YES\\n\",\n \"NO\\n\",\n \"NO\\n\",\n \"YES\\n\",\n \"YES\\n\",\n \"NO\\n\",\n \"YES\\n\",\n \"NO\\n\",\n \"NO\\n\",\n \"NO\\n\",\n \"NO\\n\",\n \"NO\\n\",\n \"NO\\n\",\n \"NO\\n\",\n \"NO\\n\",\n \"YES\\n\",\n \"YES\\n\",\n \"NO\\n\",\n \"NO\\n\",\n \"NO\\n\",\n \"NO\\n\",\n \"YES\\n\",\n \"NO\\n\",\n \"NO\\n\",\n \"YES\\n\",\n \"NO\\n\",\n \"NO\\n\",\n \"NO\\n\",\n \"YES\\n\",\n \"YES\\n\",\n \"NO\\n\",\n \"YES\\n\",\n \"NO\\n\",\n \"NO\\n\",\n \"NO\\n\",\n \"NO\\n\",\n \"NO\\n\",\n \"YES\\n\",\n \"YES\\n\",\n \"NO\\n\",\n \"NO\\n\",\n \"YES\\n\",\n \"NO\\n\",\n \"NO\\n\",\n \"NO\\n\",\n \"NO\\n\",\n \"NO\\n\",\n \"YES\\n\",\n \"YES\\n\",\n \"NO\\n\",\n \"YES\\n\",\n \"NO\\n\",\n \"YES\\n\"\n ]\n}"},"source":{"kind":"class label","value":"2","name":"CODEFORCES"}}},{"rowIdx":38240,"cells":{"id":{"kind":"string","value":"230_A. Dragons_38240"},"description":{"kind":"string","value":"Kirito is stuck on a level of the MMORPG he is playing now. To move on in the game, he's got to defeat all n dragons that live on this level. Kirito and the dragons have strength, which is represented by an integer. In the duel between two opponents the duel's outcome is determined by their strength. Initially, Kirito's strength equals s.\n\nIf Kirito starts duelling with the i-th (1 ≤ i ≤ n) dragon and Kirito's strength is not greater than the dragon's strength xi, then Kirito loses the duel and dies. But if Kirito's strength is greater than the dragon's strength, then he defeats the dragon and gets a bonus strength increase by yi.\n\nKirito can fight the dragons in any order. Determine whether he can move on to the next level of the game, that is, defeat all dragons without a single loss.\n\nInput\n\nThe first line contains two space-separated integers s and n (1 ≤ s ≤ 104, 1 ≤ n ≤ 103). Then n lines follow: the i-th line contains space-separated integers xi and yi (1 ≤ xi ≤ 104, 0 ≤ yi ≤ 104) — the i-th dragon's strength and the bonus for defeating it.\n\nOutput\n\nOn a single line print \"YES\" (without the quotes), if Kirito can move on to the next level and print \"NO\" (without the quotes), if he can't.\n\nExamples\n\nInput\n\n2 2\n1 99\n100 0\n\n\nOutput\n\nYES\n\n\nInput\n\n10 1\n100 100\n\n\nOutput\n\nNO\n\nNote\n\nIn the first sample Kirito's strength initially equals 2. As the first dragon's strength is less than 2, Kirito can fight it and defeat it. After that he gets the bonus and his strength increases to 2 + 99 = 101. Now he can defeat the second dragon and move on to the next level.\n\nIn the second sample Kirito's strength is too small to defeat the only dragon and win."},"code":{"kind":"string","value":"n,m=map(int, input().split())\nr=3\nar=[]\nfor i in range (m):\n q=list(map(int, input().split()))\n ar.append (q)\nar.sort()\nfor i in range (m):\n if n>ar[i][0]:\n n+=ar[i][1]\n else:\n r=5\n print ('NO')\n break\nif r!=5:\n print ('YES')"},"language":{"kind":"class label","value":"3","name":"Python3"},"test_samples":{"kind":"string","value":"{\n \"input\": [\n \"2 2\\n1 99\\n100 0\\n\",\n \"10 1\\n100 100\\n\",\n \"10 1\\n10 10\\n\",\n \"4 2\\n2 1\\n10 3\\n\",\n \"2 5\\n5 1\\n2 1\\n3 1\\n1 1\\n4 1\\n\",\n \"1 2\\n100 1\\n100 1\\n\",\n \"2 3\\n1 1\\n1 10\\n17 2\\n\",\n \"10 10\\n2 10\\n3 10\\n4 10\\n2 20\\n3 20\\n3 20\\n100 50\\n100 30\\n150 30\\n200 10\\n\",\n \"6 2\\n496 0\\n28 8128\\n\",\n \"50 3\\n39 0\\n38 0\\n37 0\\n\",\n \"10 1\\n1 1\\n\",\n \"2 2\\n3 5\\n1 2\\n\",\n \"999 2\\n1010 10\\n67 89\\n\",\n \"123 2\\n78 10\\n130 0\\n\",\n \"2 2\\n1 98\\n100 0\\n\",\n \"4 1\\n100 1000\\n\",\n \"1 2\\n1 0\\n1 0\\n\",\n \"9983 34\\n6626 5976\\n4448 3568\\n2794 2309\\n3741 8806\\n4754 129\\n2780 9275\\n5785 9243\\n3915 6159\\n2609 4331\\n238 6756\\n6987 3887\\n3384 5711\\n4349 5563\\n1135 4483\\n9151 1584\\n1500 766\\n1608 4440\\n7768 5005\\n7205 2360\\n9088 2933\\n3923 7814\\n7538 9372\\n7504 165\\n5277 1636\\n2061 4384\\n7668 1422\\n9582 2121\\n5483 7967\\n487 2944\\n7432 5794\\n8208 8970\\n5747 3800\\n4322 3920\\n8261 9319\\n\",\n \"2 5\\n1 1\\n2 1\\n3 1\\n4 1\\n5 1\\n\",\n \"10 3\\n12 0\\n13 0\\n14 0\\n\",\n \"5 1\\n6 7\\n\",\n \"5 10\\n20 1\\n4 3\\n5 1\\n100 1\\n4 2\\n101 1\\n10 0\\n10 2\\n17 3\\n12 84\\n\",\n \"5 10\\n7 0\\n7 0\\n10 0\\n10 0\\n7 2\\n4 2\\n9 0\\n6 1\\n7 0\\n7 0\\n\",\n \"5 3\\n13 20\\n3 10\\n15 5\\n\",\n \"11 2\\n22 0\\n33 0\\n\",\n \"100 5\\n99 100\\n199 1\\n199 1\\n199 1\\n202 1\\n\",\n \"10 4\\n20 1\\n3 5\\n2 4\\n1 3\\n\",\n \"1 3\\n1 10\\n1 11\\n1 9\\n\",\n \"1 1\\n10000 1\\n\",\n \"14 3\\n1 5\\n1 6\\n1 7\\n\",\n \"3 3\\n1 1\\n1 2\\n4 0\\n\",\n \"1 10\\n8 8\\n54 3\\n1 8\\n26 3\\n16 1\\n29 9\\n38 10\\n57 8\\n48 6\\n17 9\\n\",\n \"2 2\\n1 2\\n3 5\\n\",\n \"10 1\\n10 0\\n\",\n \"2 5\\n5 1\\n2 1\\n3 2\\n1 1\\n4 1\\n\",\n \"1 2\\n100 1\\n101 1\\n\",\n \"2 3\\n1 1\\n1 10\\n20 2\\n\",\n \"10 10\\n2 10\\n3 10\\n4 10\\n3 20\\n3 20\\n3 20\\n100 50\\n100 30\\n150 30\\n200 10\\n\",\n \"6 2\\n880 0\\n28 8128\\n\",\n \"50 3\\n39 1\\n38 0\\n37 0\\n\",\n \"10 1\\n1 2\\n\",\n \"999 2\\n1110 10\\n67 89\\n\",\n \"123 2\\n78 10\\n130 1\\n\",\n \"2 2\\n1 98\\n101 0\\n\",\n \"4 1\\n100 1001\\n\",\n \"9983 34\\n6626 5976\\n4448 3568\\n2794 2309\\n3741 8806\\n4754 129\\n2780 9275\\n5785 9243\\n3915 6159\\n2609 4331\\n238 6756\\n6987 3887\\n3384 5711\\n4349 5563\\n1135 4483\\n9151 1584\\n1500 766\\n1608 4440\\n7768 5005\\n7205 2360\\n9088 2933\\n3923 7814\\n7538 9372\\n7504 165\\n5277 155\\n2061 4384\\n7668 1422\\n9582 2121\\n5483 7967\\n487 2944\\n7432 5794\\n8208 8970\\n5747 3800\\n4322 3920\\n8261 9319\\n\",\n \"10 3\\n12 0\\n13 0\\n8 0\\n\",\n \"5 10\\n7 0\\n7 0\\n10 0\\n10 0\\n7 2\\n1 2\\n9 0\\n6 1\\n7 0\\n7 0\\n\",\n \"5 3\\n13 20\\n3 10\\n15 8\\n\",\n \"101 5\\n99 100\\n199 1\\n199 1\\n199 1\\n202 1\\n\",\n \"10 4\\n20 1\\n3 7\\n2 4\\n1 3\\n\",\n \"1 3\\n1 10\\n1 16\\n1 9\\n\",\n \"1 1\\n10010 1\\n\",\n \"14 3\\n1 5\\n2 6\\n1 7\\n\",\n \"3 3\\n1 1\\n2 2\\n4 0\\n\",\n \"1 10\\n8 8\\n54 3\\n1 8\\n26 3\\n16 1\\n29 9\\n63 10\\n57 8\\n48 6\\n17 9\\n\",\n \"4 2\\n1 2\\n3 5\\n\",\n \"2 2\\n1 99\\n101 0\\n\",\n \"10 1\\n110 100\\n\",\n \"10 1\\n14 0\\n\",\n \"1 5\\n5 1\\n2 1\\n3 2\\n1 1\\n4 1\\n\",\n \"1 2\\n100 2\\n101 1\\n\",\n \"2 3\\n1 1\\n1 10\\n24 2\\n\",\n \"10 10\\n2 10\\n3 10\\n0 10\\n3 20\\n3 20\\n3 20\\n100 50\\n100 30\\n150 30\\n200 10\\n\",\n \"6 2\\n880 -1\\n28 8128\\n\",\n \"50 3\\n8 1\\n38 0\\n37 0\\n\",\n \"11 1\\n1 2\\n\",\n \"999 2\\n1110 10\\n67 55\\n\",\n \"123 2\\n78 4\\n130 1\\n\",\n \"2 2\\n1 53\\n101 0\\n\",\n \"7 1\\n100 1001\\n\",\n \"9983 34\\n6626 5976\\n4448 3568\\n2794 2309\\n3741 8806\\n4754 129\\n2780 9275\\n5785 9243\\n3915 6159\\n2609 4331\\n238 6756\\n6987 3887\\n3384 5711\\n4349 5563\\n1135 4483\\n9151 1584\\n1500 766\\n1608 4440\\n7768 5005\\n7205 2360\\n9088 2933\\n3923 6845\\n7538 9372\\n7504 165\\n5277 155\\n2061 4384\\n7668 1422\\n9582 2121\\n5483 7967\\n487 2944\\n7432 5794\\n8208 8970\\n5747 3800\\n4322 3920\\n8261 9319\\n\",\n \"0 10\\n7 0\\n7 0\\n10 0\\n10 0\\n7 2\\n1 2\\n9 0\\n6 1\\n7 0\\n7 0\\n\",\n \"5 3\\n13 20\\n5 10\\n15 8\\n\",\n \"101 5\\n99 100\\n199 2\\n199 1\\n199 1\\n202 1\\n\",\n \"10 4\\n40 1\\n3 7\\n2 4\\n1 3\\n\",\n \"0 3\\n1 10\\n1 16\\n1 9\\n\",\n \"2 1\\n10010 1\\n\",\n \"14 3\\n2 5\\n2 6\\n1 7\\n\",\n \"3 3\\n1 2\\n2 2\\n4 0\\n\",\n \"1 10\\n8 8\\n54 3\\n1 8\\n26 3\\n16 2\\n29 9\\n63 10\\n57 8\\n48 6\\n17 9\\n\",\n \"4 2\\n1 2\\n5 5\\n\",\n \"2 2\\n1 99\\n111 0\\n\",\n \"10 1\\n110 110\\n\",\n \"1 5\\n4 1\\n2 1\\n3 2\\n1 1\\n4 1\\n\",\n \"1 2\\n101 2\\n101 1\\n\",\n \"10 10\\n2 10\\n1 10\\n0 10\\n3 20\\n3 20\\n3 20\\n100 50\\n100 30\\n150 30\\n200 10\\n\",\n \"50 3\\n8 1\\n38 0\\n37 -1\\n\",\n \"11 1\\n2 2\\n\",\n \"999 2\\n1110 10\\n67 56\\n\",\n \"7 1\\n110 1001\\n\",\n \"9983 34\\n6626 5976\\n4448 3568\\n2794 2309\\n3741 8806\\n4754 129\\n2780 9275\\n5785 9243\\n3915 6159\\n2609 4331\\n238 6756\\n6987 3887\\n3384 5711\\n4349 5563\\n1135 4483\\n9151 1584\\n1500 766\\n1608 4440\\n7768 5005\\n7205 2360\\n9088 2933\\n3923 6845\\n7538 9372\\n7504 165\\n5277 155\\n2061 4384\\n7668 1422\\n3922 2121\\n5483 7967\\n487 2944\\n7432 5794\\n8208 8970\\n5747 3800\\n4322 3920\\n8261 9319\\n\",\n \"0 10\\n7 0\\n7 0\\n10 0\\n10 0\\n7 2\\n1 2\\n9 0\\n6 0\\n7 0\\n7 0\\n\",\n \"5 3\\n13 20\\n6 10\\n15 8\\n\",\n \"10 4\\n43 1\\n3 7\\n2 4\\n1 3\\n\",\n \"0 3\\n1 10\\n1 16\\n1 15\\n\",\n \"2 1\\n10000 1\\n\",\n \"14 3\\n2 5\\n2 7\\n1 7\\n\",\n \"3 3\\n0 2\\n2 2\\n4 0\\n\",\n \"1 10\\n8 8\\n54 3\\n1 8\\n26 3\\n16 2\\n29 9\\n63 10\\n57 8\\n48 0\\n17 9\\n\",\n \"4 2\\n1 2\\n5 10\\n\",\n \"17 1\\n110 110\\n\",\n \"2 5\\n4 1\\n2 1\\n3 2\\n1 1\\n4 1\\n\"\n ],\n \"output\": [\n \"YES\\n\",\n \"NO\\n\",\n \"NO\\n\",\n \"NO\\n\",\n \"YES\\n\",\n \"NO\\n\",\n \"NO\\n\",\n \"NO\\n\",\n \"NO\\n\",\n \"YES\\n\",\n \"YES\\n\",\n \"YES\\n\",\n \"YES\\n\",\n \"YES\\n\",\n \"NO\\n\",\n \"NO\\n\",\n \"NO\\n\",\n \"YES\\n\",\n \"YES\\n\",\n \"NO\\n\",\n \"NO\\n\",\n \"YES\\n\",\n \"NO\\n\",\n \"YES\\n\",\n \"NO\\n\",\n \"YES\\n\",\n \"YES\\n\",\n \"NO\\n\",\n \"NO\\n\",\n \"YES\\n\",\n \"YES\\n\",\n \"NO\\n\",\n \"YES\\n\",\n \"NO\\n\",\n \"YES\\n\",\n \"NO\\n\",\n \"NO\\n\",\n \"NO\\n\",\n \"NO\\n\",\n \"YES\\n\",\n \"YES\\n\",\n \"NO\\n\",\n \"YES\\n\",\n \"NO\\n\",\n \"NO\\n\",\n \"YES\\n\",\n \"NO\\n\",\n \"NO\\n\",\n \"YES\\n\",\n \"YES\\n\",\n \"YES\\n\",\n \"NO\\n\",\n \"NO\\n\",\n \"YES\\n\",\n \"YES\\n\",\n \"NO\\n\",\n \"YES\\n\",\n \"NO\\n\",\n \"NO\\n\",\n \"NO\\n\",\n \"NO\\n\",\n \"NO\\n\",\n \"NO\\n\",\n \"NO\\n\",\n \"NO\\n\",\n \"YES\\n\",\n \"YES\\n\",\n \"NO\\n\",\n \"NO\\n\",\n \"NO\\n\",\n \"NO\\n\",\n \"YES\\n\",\n \"NO\\n\",\n \"NO\\n\",\n \"YES\\n\",\n \"NO\\n\",\n \"NO\\n\",\n \"NO\\n\",\n \"YES\\n\",\n \"YES\\n\",\n \"NO\\n\",\n \"YES\\n\",\n \"NO\\n\",\n \"NO\\n\",\n \"NO\\n\",\n \"NO\\n\",\n \"NO\\n\",\n \"YES\\n\",\n \"YES\\n\",\n \"NO\\n\",\n \"NO\\n\",\n \"YES\\n\",\n \"NO\\n\",\n \"NO\\n\",\n \"NO\\n\",\n \"NO\\n\",\n \"NO\\n\",\n \"YES\\n\",\n \"YES\\n\",\n \"NO\\n\",\n \"YES\\n\",\n \"NO\\n\",\n \"YES\\n\"\n ]\n}"},"source":{"kind":"class label","value":"2","name":"CODEFORCES"}}},{"rowIdx":38241,"cells":{"id":{"kind":"string","value":"230_A. Dragons_38241"},"description":{"kind":"string","value":"Kirito is stuck on a level of the MMORPG he is playing now. To move on in the game, he's got to defeat all n dragons that live on this level. Kirito and the dragons have strength, which is represented by an integer. In the duel between two opponents the duel's outcome is determined by their strength. Initially, Kirito's strength equals s.\n\nIf Kirito starts duelling with the i-th (1 ≤ i ≤ n) dragon and Kirito's strength is not greater than the dragon's strength xi, then Kirito loses the duel and dies. But if Kirito's strength is greater than the dragon's strength, then he defeats the dragon and gets a bonus strength increase by yi.\n\nKirito can fight the dragons in any order. Determine whether he can move on to the next level of the game, that is, defeat all dragons without a single loss.\n\nInput\n\nThe first line contains two space-separated integers s and n (1 ≤ s ≤ 104, 1 ≤ n ≤ 103). Then n lines follow: the i-th line contains space-separated integers xi and yi (1 ≤ xi ≤ 104, 0 ≤ yi ≤ 104) — the i-th dragon's strength and the bonus for defeating it.\n\nOutput\n\nOn a single line print \"YES\" (without the quotes), if Kirito can move on to the next level and print \"NO\" (without the quotes), if he can't.\n\nExamples\n\nInput\n\n2 2\n1 99\n100 0\n\n\nOutput\n\nYES\n\n\nInput\n\n10 1\n100 100\n\n\nOutput\n\nNO\n\nNote\n\nIn the first sample Kirito's strength initially equals 2. As the first dragon's strength is less than 2, Kirito can fight it and defeat it. After that he gets the bonus and his strength increases to 2 + 99 = 101. Now he can defeat the second dragon and move on to the next level.\n\nIn the second sample Kirito's strength is too small to defeat the only dragon and win."},"code":{"kind":"string","value":"import java.util.*;\npublic class Main\n{\n\tpublic static void main(String[] args)\n\t{\n\t\tScanner sc = new Scanner(System.in);\n\t\tint s = sc.nextInt();\n\t\tint n = sc.nextInt();\n\t\t\n\t\tint[] reqS = new int[n];\n\t\tint[] gainS = new int[n];\n\t\tint ctr = 1;\n\n\t\t\n\t\tfor(int i = 0; i < n; i++)\n\t\t{\n\t\t\treqS[i] = sc.nextInt();\n\t\t\tgainS[i] = sc.nextInt();\n\t\t\t\n\t\t}\n\t\t\n\t\twhile(ctr != 0)\n\t\t{\n\t\t\tctr = 0;\n\t\t\tfor(int i = 0; i < n; i++)\n\t\t\t{\n\t\t\t\tif(reqS[i] < s)\n\t\t\t\t{\n\t\t\t\t\ts += gainS[i];\n\t\t\t\t\treqS[i] = 10000000;\n\t\t\t\t\tctr++;\n\t\t\t\t}\n\t\t\t\n\t\t\t}\n\t\t}\n\t\t\n\t\tif(win(reqS))\n\t\t{\n\t\t\tSystem.out.println(\"YES\");\n\t\t}\n\t\telse\n\t\t{\n\t\t\tSystem.out.println(\"NO\");\n\t\t}\n\t}\n\tstatic boolean win(int[] x)\n\t{\n\t\tfor(int i = 0; i < x.length; i++)\n\t\t{\n\t\t\tif(x[i] != 10000000)\n\t\t\t{\n\t\t\t\treturn false;\n\t\t\t}\n\t\t}\n\t\t\n\t\treturn true;\n\t}\n}"},"language":{"kind":"class label","value":"4","name":"JAVA"},"test_samples":{"kind":"string","value":"{\n \"input\": [\n \"2 2\\n1 99\\n100 0\\n\",\n \"10 1\\n100 100\\n\",\n \"10 1\\n10 10\\n\",\n \"4 2\\n2 1\\n10 3\\n\",\n \"2 5\\n5 1\\n2 1\\n3 1\\n1 1\\n4 1\\n\",\n \"1 2\\n100 1\\n100 1\\n\",\n \"2 3\\n1 1\\n1 10\\n17 2\\n\",\n \"10 10\\n2 10\\n3 10\\n4 10\\n2 20\\n3 20\\n3 20\\n100 50\\n100 30\\n150 30\\n200 10\\n\",\n \"6 2\\n496 0\\n28 8128\\n\",\n \"50 3\\n39 0\\n38 0\\n37 0\\n\",\n \"10 1\\n1 1\\n\",\n \"2 2\\n3 5\\n1 2\\n\",\n \"999 2\\n1010 10\\n67 89\\n\",\n \"123 2\\n78 10\\n130 0\\n\",\n \"2 2\\n1 98\\n100 0\\n\",\n \"4 1\\n100 1000\\n\",\n \"1 2\\n1 0\\n1 0\\n\",\n \"9983 34\\n6626 5976\\n4448 3568\\n2794 2309\\n3741 8806\\n4754 129\\n2780 9275\\n5785 9243\\n3915 6159\\n2609 4331\\n238 6756\\n6987 3887\\n3384 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Furlo and Rublo and Game_38242"},"description":{"kind":"string","value":"Furlo and Rublo play a game. The table has n piles of coins lying on it, the i-th pile has ai coins. Furlo and Rublo move in turns, Furlo moves first. In one move you are allowed to:\n\n * choose some pile, let's denote the current number of coins in it as x; \n * choose some integer y (0 ≤ y < x; x1 / 4 ≤ y ≤ x1 / 2) and decrease the number of coins in this pile to y. In other words, after the described move the pile will have y coins left. \n\n\n\nThe player who can't make a move, loses. \n\nYour task is to find out, who wins in the given game if both Furlo and Rublo play optimally well.\n\nInput\n\nThe first line contains integer n (1 ≤ n ≤ 77777) — the number of piles. The next line contains n integers a1, a2, ..., an (1 ≤ ai ≤ 777777777777) — the sizes of piles. The numbers are separated by single spaces.\n\nPlease, do not use the %lld specifier to read or write 64-bit integers in С++. It is preferred to use the cin, cout streams or the %I64d specifier.\n\nOutput\n\nIf both players play optimally well and Furlo wins, print \"Furlo\", otherwise print \"Rublo\". Print the answers without the quotes.\n\nExamples\n\nInput\n\n1\n1\n\n\nOutput\n\nRublo\n\n\nInput\n\n2\n1 2\n\n\nOutput\n\nRublo\n\n\nInput\n\n10\n1 2 3 4 5 6 7 8 9 10\n\n\nOutput\n\nFurlo"},"code":{"kind":"string","value":"#!/usr/bin/python\nimport bisect\na = [0,4,16,82,6724,15**4+1,15**8+1]\nb = [0,1,2,0,3,1,2]\ndef sg(x) :\n\ti = bisect.bisect_right(a,x)\n\treturn b[i-1]\nn = input()\nnum = map(int,raw_input().split())\nans = 0\nfor x in num:\n\tans ^= sg(x)\nif ans :\n\tprint \"Furlo\"\nelse :\n\tprint \"Rublo\"\n"},"language":{"kind":"class label","value":"1","name":"Python2"},"test_samples":{"kind":"string","value":"{\n \"input\": [\n \"10\\n1 2 3 4 5 6 7 8 9 10\\n\",\n \"1\\n1\\n\",\n \"2\\n1 2\\n\",\n \"3\\n2500000000 3000000000 1000\\n\",\n \"40\\n20390340 659951276 660648687 283496822 238806569 452159719 595601864 88859363 448128137 173415523 155896972 382680284 143902331 67085579 251233672 507418836 451689775 116050106 716427523 453853727 199456738 546229940 582869263 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571889516 676319197 40325259 91629265 481065958 347353980 687386676 398523806 947896 5170734 720798096 577222949 560221824 427579517 165689347 516312275 38449250 384820273 545718776 677096599 604431275 422347009 96033594\\n\",\n \"2\\n10543927250 344611455\\n\",\n \"3\\n44 10001 100001000000\\n\",\n \"3\\n4 4 5\\n\",\n \"10\\n1 1 5 4 7 3 2 8 9 10\\n\",\n \"3\\n923135682 12194846381 1011\\n\",\n \"40\\n20390340 659951276 660648687 283496822 253780334 452159719 595601864 53347450 279265318 138412055 155896972 382680284 143902331 67085579 251233672 507418836 451689775 116050106 716427523 453853727 199456738 546229940 582869263 697618351 329747900 595175666 532075062 296917140 143304338 761085644 190058541 7682274 467268828 71166480 353247339 424062399 480459037 610259332 639281418 540727759\\n\"\n ],\n \"output\": [\n \"Furlo\\n\",\n \"Rublo\\n\",\n \"Rublo\\n\",\n \"Furlo\\n\",\n \"Rublo\\n\",\n \"Rublo\\n\",\n \"Furlo\\n\",\n \"Rublo\\n\",\n \"Rublo\\n\",\n \"Furlo\\n\",\n \"Furlo\\n\",\n \"Rublo\\n\",\n \"Furlo\\n\",\n \"Rublo\\n\",\n \"Furlo\\n\",\n \"Furlo\",\n \"Rublo\",\n \"Rublo\",\n \"Furlo\",\n \"Rublo\",\n \"Rublo\",\n \"Furlo\",\n \"Furlo\",\n \"Rublo\",\n \"Rublo\",\n \"Furlo\",\n \"Rublo\",\n \"Rublo\",\n \"Rublo\",\n \"Furlo\",\n \"Rublo\",\n \"Rublo\",\n \"Furlo\",\n \"Furlo\",\n \"Rublo\",\n \"Furlo\",\n \"Furlo\",\n \"Rublo\",\n \"Rublo\",\n \"Rublo\",\n \"Furlo\",\n \"Rublo\",\n \"Furlo\",\n \"Rublo\",\n \"Rublo\",\n \"Furlo\",\n \"Furlo\",\n \"Rublo\",\n \"Furlo\",\n \"Furlo\",\n \"Rublo\",\n \"Rublo\",\n \"Furlo\",\n \"Furlo\",\n \"Rublo\",\n \"Furlo\",\n \"Rublo\",\n \"Furlo\",\n \"Furlo\",\n \"Furlo\",\n \"Rublo\",\n \"Furlo\",\n \"Rublo\",\n \"Rublo\",\n \"Furlo\",\n \"Furlo\",\n \"Furlo\",\n \"Furlo\",\n \"Rublo\",\n \"Furlo\",\n \"Furlo\",\n \"Furlo\",\n \"Rublo\",\n \"Furlo\",\n \"Furlo\",\n \"Rublo\",\n \"Rublo\",\n \"Furlo\",\n \"Rublo\",\n \"Furlo\",\n \"Furlo\",\n \"Rublo\",\n \"Furlo\",\n \"Furlo\",\n \"Furlo\",\n \"Rublo\",\n \"Furlo\",\n \"Rublo\"\n ]\n}"},"source":{"kind":"class label","value":"2","name":"CODEFORCES"}}},{"rowIdx":38243,"cells":{"id":{"kind":"string","value":"255_E. Furlo and Rublo and Game_38243"},"description":{"kind":"string","value":"Furlo and Rublo play a game. The table has n piles of coins lying on it, the i-th pile has ai coins. Furlo and Rublo move in turns, Furlo moves first. In one move you are allowed to:\n\n * choose some pile, let's denote the current number of coins in it as x; \n * choose some integer y (0 ≤ y < x; x1 / 4 ≤ y ≤ x1 / 2) and decrease the number of coins in this pile to y. In other words, after the described move the pile will have y coins left. \n\n\n\nThe player who can't make a move, loses. \n\nYour task is to find out, who wins in the given game if both Furlo and Rublo play optimally well.\n\nInput\n\nThe first line contains integer n (1 ≤ n ≤ 77777) — the number of piles. The next line contains n integers a1, a2, ..., an (1 ≤ ai ≤ 777777777777) — the sizes of piles. The numbers are separated by single spaces.\n\nPlease, do not use the %lld specifier to read or write 64-bit integers in С++. It is preferred to use the cin, cout streams or the %I64d specifier.\n\nOutput\n\nIf both players play optimally well and Furlo wins, print \"Furlo\", otherwise print \"Rublo\". Print the answers without the quotes.\n\nExamples\n\nInput\n\n1\n1\n\n\nOutput\n\nRublo\n\n\nInput\n\n2\n1 2\n\n\nOutput\n\nRublo\n\n\nInput\n\n10\n1 2 3 4 5 6 7 8 9 10\n\n\nOutput\n\nFurlo"},"code":{"kind":"string","value":"#include \nusing namespace std;\nint get_nim(long long x) {\n if (x < 4) return 0;\n if (x < 16) return 1;\n if (x < 82) return 2;\n if (x < 6724) return 0;\n if (x < 50626) return 3;\n if (x < 2562991876LL) return 1;\n return 2;\n}\nint main() {\n int n, ans = 0;\n long long a;\n cin >> n;\n for (int i = 0; i < n; ++i) {\n cin >> a;\n ans ^= get_nim(a);\n }\n if (ans)\n cout << \"Furlo\" << endl;\n else\n cout << \"Rublo\" << endl;\n return 0;\n}\n"},"language":{"kind":"class label","value":"2","name":"C++"},"test_samples":{"kind":"string","value":"{\n \"input\": [\n \"10\\n1 2 3 4 5 6 7 8 9 10\\n\",\n \"1\\n1\\n\",\n \"2\\n1 2\\n\",\n \"3\\n2500000000 3000000000 1000\\n\",\n \"40\\n20390340 659951276 660648687 283496822 238806569 452159719 595601864 88859363 448128137 173415523 155896972 382680284 143902331 67085579 251233672 507418836 451689775 116050106 716427523 453853727 199456738 546229940 582869263 697618351 329747900 595175666 532075062 296917140 143304338 761085644 190058541 514062581 467268828 71166480 353247339 637946561 480459037 610259332 639281418 540727759\\n\",\n \"2\\n50626 300000\\n\",\n \"5\\n1000000000 100000000 10000000 1000000 100000\\n\",\n \"2\\n2562991876 16\\n\",\n \"50\\n153423475 640900906 773155924 97361082 413127059 154467262 26144388 172617533 117328815 312150912 45081238 438413693 686165576 490651756 383872273 601349776 181594954 624158354 48886108 767778455 631306840 58389993 403293668 405970047 308352764 293917056 430837844 571889516 676319197 27534222 91629265 481065958 347353980 687386676 398523806 42942805 5170734 720798096 577222949 560221824 427579517 165689347 516312275 38449250 384820273 545718776 677096599 604431275 422347009 96033594\\n\",\n \"3\\n10 100 10000\\n\",\n \"2\\n100 777777777777\\n\",\n \"4\\n2 3 9 10\\n\",\n \"2\\n2500000000 3000000000\\n\",\n \"3\\n10 10000 100000000000\\n\",\n \"3\\n2 3 10\\n\",\n \"3\\n2500000000 3000000000 1001\\n\",\n \"40\\n20390340 659951276 660648687 283496822 238806569 452159719 595601864 88859363 279265318 173415523 155896972 382680284 143902331 67085579 251233672 507418836 451689775 116050106 716427523 453853727 199456738 546229940 582869263 697618351 329747900 595175666 532075062 296917140 143304338 761085644 190058541 514062581 467268828 71166480 353247339 637946561 480459037 610259332 639281418 540727759\\n\",\n \"2\\n50626 74912\\n\",\n \"5\\n1000001000 100000000 10000000 1000000 100000\\n\",\n \"2\\n2562991876 31\\n\",\n \"50\\n153423475 640900906 773155924 97361082 413127059 154467262 26144388 172617533 117328815 312150912 45081238 438413693 686165576 490651756 383872273 601349776 181594954 624158354 48886108 767778455 631306840 58389993 403293668 405970047 308352764 293917056 524282771 571889516 676319197 27534222 91629265 481065958 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97361082 413127059 154467262 26144388 172617533 117328815 312150912 45081238 438413693 686165576 490651756 383872273 601349776 181594954 624158354 48886108 767778455 631306840 58389993 403293668 405970047 308352764 375064482 524282771 571889516 676319197 27534222 91629265 481065958 347353980 687386676 398523806 42942805 5170734 720798096 577222949 560221824 427579517 165689347 516312275 38449250 384820273 545718776 677096599 604431275 422347009 96033594\\n\",\n \"2\\n001 777777777777\\n\",\n \"2\\n3699378272 650939923\\n\",\n \"3\\n11 10001 100000000000\\n\",\n \"3\\n4 3 15\\n\",\n \"10\\n1 2 3 4 7 6 2 8 9 10\\n\",\n \"1\\n4\\n\",\n \"2\\n2 3\\n\",\n \"3\\n480483433 4627996199 1001\\n\",\n \"40\\n20390340 659951276 660648687 283496822 253780334 452159719 595601864 88859363 279265318 173415523 155896972 382680284 143902331 67085579 251233672 507418836 451689775 116050106 716427523 453853727 199456738 546229940 582869263 697618351 329747900 595175666 532075062 296917140 143304338 761085644 190058541 514062581 467268828 71166480 353247339 637946561 480459037 610259332 639281418 540727759\\n\",\n \"2\\n73625 68856\\n\",\n \"5\\n1000001000 100000000 10000010 1000000 100010\\n\",\n \"2\\n1311723747 31\\n\",\n \"50\\n153423475 640900906 773155924 97361082 413127059 154467262 26144388 172617533 117328815 312150912 45081238 438413693 686165576 490651756 383872273 601349776 181594954 624158354 48886108 767778455 631306840 58389993 403293668 405970047 308352764 375064482 524282771 571889516 676319197 27534222 91629265 481065958 347353980 687386676 398523806 947896 5170734 720798096 577222949 560221824 427579517 165689347 516312275 38449250 384820273 545718776 677096599 604431275 422347009 96033594\\n\",\n \"2\\n011 777777777777\\n\",\n \"2\\n6352485103 650939923\\n\",\n \"3\\n11 10001 100001000000\\n\",\n \"3\\n4 2 15\\n\",\n \"10\\n1 2 4 4 7 6 2 8 9 10\\n\",\n \"1\\n8\\n\",\n \"2\\n3 3\\n\",\n \"3\\n480483433 4627996199 1011\\n\",\n \"40\\n20390340 659951276 660648687 283496822 253780334 452159719 595601864 53347450 279265318 173415523 155896972 382680284 143902331 67085579 251233672 507418836 451689775 116050106 716427523 453853727 199456738 546229940 582869263 697618351 329747900 595175666 532075062 296917140 143304338 761085644 190058541 514062581 467268828 71166480 353247339 637946561 480459037 610259332 639281418 540727759\\n\",\n \"2\\n73625 22126\\n\",\n \"5\\n1000000000 100000000 10000010 1000000 100010\\n\",\n \"2\\n2212954546 31\\n\",\n \"50\\n153423475 640900906 773155924 97361082 413127059 154467262 26144388 172617533 117328815 312150912 45081238 438413693 686165576 490651756 383872273 601349776 181594954 624158354 48886108 767778455 631306840 58389993 403293668 405970047 308352764 375064482 524282771 571889516 676319197 40325259 91629265 481065958 347353980 687386676 398523806 947896 5170734 720798096 577222949 560221824 427579517 165689347 516312275 38449250 384820273 545718776 677096599 604431275 422347009 96033594\\n\",\n \"2\\n6352485103 347804955\\n\",\n \"3\\n13 10001 100001000000\\n\",\n \"3\\n4 2 4\\n\",\n \"10\\n1 2 5 4 7 6 2 8 9 10\\n\",\n \"1\\n5\\n\",\n \"2\\n3 5\\n\",\n \"3\\n480483433 7241518991 1011\\n\",\n \"40\\n20390340 659951276 660648687 283496822 253780334 452159719 595601864 53347450 279265318 173415523 155896972 382680284 143902331 67085579 251233672 507418836 451689775 116050106 716427523 453853727 199456738 546229940 582869263 697618351 329747900 595175666 532075062 296917140 143304338 761085644 190058541 7682274 467268828 71166480 353247339 637946561 480459037 610259332 639281418 540727759\\n\",\n \"2\\n106418 22126\\n\",\n \"5\\n1000000000 100000000 10000010 1000000 101010\\n\",\n \"2\\n3278738 31\\n\",\n \"50\\n153423475 640900906 773155924 97361082 413127059 154467262 26144388 172617533 117328815 312150912 45081238 438413693 686165576 490651756 383872273 601349776 181594954 624158354 77338561 767778455 631306840 58389993 403293668 405970047 308352764 375064482 524282771 571889516 676319197 40325259 91629265 481065958 347353980 687386676 398523806 947896 5170734 720798096 577222949 560221824 427579517 165689347 516312275 38449250 384820273 545718776 677096599 604431275 422347009 96033594\\n\",\n \"2\\n6352485103 344611455\\n\",\n \"3\\n25 10001 100001000000\\n\",\n \"3\\n4 2 5\\n\",\n \"10\\n1 2 5 4 7 3 2 8 9 10\\n\",\n \"3\\n923135682 7241518991 1011\\n\",\n \"40\\n20390340 659951276 660648687 283496822 253780334 452159719 595601864 53347450 279265318 138412055 155896972 382680284 143902331 67085579 251233672 507418836 451689775 116050106 716427523 453853727 199456738 546229940 582869263 697618351 329747900 595175666 532075062 296917140 143304338 761085644 190058541 7682274 467268828 71166480 353247339 637946561 480459037 610259332 639281418 540727759\\n\",\n \"2\\n106418 13697\\n\",\n \"2\\n3278738 58\\n\",\n \"50\\n153423475 640900906 773155924 97361082 413127059 154467262 26144388 172617533 117328815 312150912 45081238 438413693 686165576 490651756 383872273 358406779 181594954 624158354 77338561 767778455 631306840 58389993 403293668 405970047 308352764 375064482 524282771 571889516 676319197 40325259 91629265 481065958 347353980 687386676 398523806 947896 5170734 720798096 577222949 560221824 427579517 165689347 516312275 38449250 384820273 545718776 677096599 604431275 422347009 96033594\\n\",\n \"2\\n10543927250 344611455\\n\",\n \"3\\n44 10001 100001000000\\n\",\n \"3\\n4 4 5\\n\",\n \"10\\n1 1 5 4 7 3 2 8 9 10\\n\",\n \"3\\n923135682 12194846381 1011\\n\",\n \"40\\n20390340 659951276 660648687 283496822 253780334 452159719 595601864 53347450 279265318 138412055 155896972 382680284 143902331 67085579 251233672 507418836 451689775 116050106 716427523 453853727 199456738 546229940 582869263 697618351 329747900 595175666 532075062 296917140 143304338 761085644 190058541 7682274 467268828 71166480 353247339 424062399 480459037 610259332 639281418 540727759\\n\"\n ],\n \"output\": [\n \"Furlo\\n\",\n \"Rublo\\n\",\n \"Rublo\\n\",\n \"Furlo\\n\",\n \"Rublo\\n\",\n \"Rublo\\n\",\n \"Furlo\\n\",\n \"Rublo\\n\",\n \"Rublo\\n\",\n \"Furlo\\n\",\n \"Furlo\\n\",\n \"Rublo\\n\",\n \"Furlo\\n\",\n \"Rublo\\n\",\n \"Furlo\\n\",\n \"Furlo\",\n \"Rublo\",\n \"Rublo\",\n \"Furlo\",\n \"Rublo\",\n \"Rublo\",\n \"Furlo\",\n \"Furlo\",\n \"Rublo\",\n \"Rublo\",\n \"Furlo\",\n \"Rublo\",\n \"Rublo\",\n \"Rublo\",\n \"Furlo\",\n \"Rublo\",\n \"Rublo\",\n \"Furlo\",\n \"Furlo\",\n \"Rublo\",\n \"Furlo\",\n \"Furlo\",\n \"Rublo\",\n \"Rublo\",\n \"Rublo\",\n \"Furlo\",\n \"Rublo\",\n \"Furlo\",\n \"Rublo\",\n \"Rublo\",\n \"Furlo\",\n \"Furlo\",\n \"Rublo\",\n \"Furlo\",\n \"Furlo\",\n \"Rublo\",\n \"Rublo\",\n \"Furlo\",\n \"Furlo\",\n \"Rublo\",\n \"Furlo\",\n \"Rublo\",\n \"Furlo\",\n \"Furlo\",\n \"Furlo\",\n \"Rublo\",\n \"Furlo\",\n \"Rublo\",\n \"Rublo\",\n \"Furlo\",\n \"Furlo\",\n \"Furlo\",\n \"Furlo\",\n \"Rublo\",\n \"Furlo\",\n \"Furlo\",\n \"Furlo\",\n \"Rublo\",\n \"Furlo\",\n \"Furlo\",\n \"Rublo\",\n \"Rublo\",\n \"Furlo\",\n \"Rublo\",\n \"Furlo\",\n \"Furlo\",\n \"Rublo\",\n \"Furlo\",\n \"Furlo\",\n \"Furlo\",\n \"Rublo\",\n \"Furlo\",\n \"Rublo\"\n ]\n}"},"source":{"kind":"class label","value":"2","name":"CODEFORCES"}}},{"rowIdx":38244,"cells":{"id":{"kind":"string","value":"255_E. Furlo and Rublo and Game_38244"},"description":{"kind":"string","value":"Furlo and Rublo play a game. The table has n piles of coins lying on it, the i-th pile has ai coins. Furlo and Rublo move in turns, Furlo moves first. In one move you are allowed to:\n\n * choose some pile, let's denote the current number of coins in it as x; \n * choose some integer y (0 ≤ y < x; x1 / 4 ≤ y ≤ x1 / 2) and decrease the number of coins in this pile to y. In other words, after the described move the pile will have y coins left. \n\n\n\nThe player who can't make a move, loses. \n\nYour task is to find out, who wins in the given game if both Furlo and Rublo play optimally well.\n\nInput\n\nThe first line contains integer n (1 ≤ n ≤ 77777) — the number of piles. The next line contains n integers a1, a2, ..., an (1 ≤ ai ≤ 777777777777) — the sizes of piles. The numbers are separated by single spaces.\n\nPlease, do not use the %lld specifier to read or write 64-bit integers in С++. It is preferred to use the cin, cout streams or the %I64d specifier.\n\nOutput\n\nIf both players play optimally well and Furlo wins, print \"Furlo\", otherwise print \"Rublo\". Print the answers without the quotes.\n\nExamples\n\nInput\n\n1\n1\n\n\nOutput\n\nRublo\n\n\nInput\n\n2\n1 2\n\n\nOutput\n\nRublo\n\n\nInput\n\n10\n1 2 3 4 5 6 7 8 9 10\n\n\nOutput\n\nFurlo"},"code":{"kind":"string","value":"import java.io.*;\nimport java.util.*;\n\npublic class E {\n public static void main(String[] args) {\n try {\n new E().solve();\n } catch (Exception e) {\n e.printStackTrace();\n }\n }\n\n int[] grundy = new int[1 << 20];\n int[][] seg = new int[25][];\n int find(int s, int d, int i0, int i1) {\n int len = grundy.length >> d;\n int e = s + len;\n if (e - 1 < i0 || i1 < s) {\n return 0;\n } else if (i0 <= s && e - 1 <= i1) {\n return seg[d][s / len];\n } else {\n return find(s, d + 1, i0, i1) | find((s + e) / 2, d + 1, i0, i1);\n }\n }\n void add(int idx) {\n int s = 0;\n int d = 0;\n int gm = 1 << grundy[idx];\n while (true) {\n int len = grundy.length >> d;\n if (seg[d] == null) {\n seg[d] = new int[grundy.length / len];\n }\n seg[d][s / len] |= gm;\n\n d++;\n len /= 2;\n if (len == 0) {\n break;\n }\n int e = s + len;\n if (e <= idx) {\n s = e;\n e = s + len;\n }\n }\n }\n void solve() throws IOException {\n Scanner sc = new Scanner(System.in);\n // BufferedReader in = new BufferedReader(new\n // InputStreamReader(System.in));\n // String[] sp;\n\n int n = sc.nextInt();\n long[] a = new long[n];\n for (int i = 0; i < n; i++) {\n a[i] = sc.nextLong();\n }\n\n for (int i = 0; i < 4; i++) {\n grundy[i] = 0;\n add(i);\n }\n for (int i = 4; i < grundy.length; i++) {\n int i0 = (int) Math.ceil(Math.sqrt(Math.sqrt(i)));\n int i1 = (int) Math.floor(Math.sqrt(i));\n int mask = find(0, 0, i0, i1);\n\n for (int jj = 0;; jj++) {\n if ((mask >> jj & 1) == 0) {\n grundy[i] = jj;\n break;\n }\n }\n add(i);\n }\n\n int xor = 0;\n for (int i = 0; i < n; i++) {\n int g;\n if (a[i] < grundy.length) {\n g = grundy[(int) a[i]];\n } else {\n int i0 = (int) Math.ceil(Math.sqrt(Math.sqrt(a[i])));\n int i1 = (int) Math.floor(Math.sqrt(a[i]));\n int mask = find(0, 0, i0, i1);\n\n for (int jj = 0;; jj++) {\n if ((mask >> jj & 1) == 0) {\n g = jj;\n break;\n }\n }\n }\n xor ^= g;\n }\n\n if (xor == 0) {\n System.out.println(\"Rublo\");\n } else {\n System.out.println(\"Furlo\");\n }\n }\n}\n\n//\n//\n//\n//\n//\n//\n//\n//\n//\n//\n//\n//\n//\n//\n//\n//\n//\n//\n//\n//\n//\n//\n//\n//\n//\n"},"language":{"kind":"class label","value":"4","name":"JAVA"},"test_samples":{"kind":"string","value":"{\n \"input\": [\n \"10\\n1 2 3 4 5 6 7 8 9 10\\n\",\n \"1\\n1\\n\",\n \"2\\n1 2\\n\",\n \"3\\n2500000000 3000000000 1000\\n\",\n \"40\\n20390340 659951276 660648687 283496822 238806569 452159719 595601864 88859363 448128137 173415523 155896972 382680284 143902331 67085579 251233672 507418836 451689775 116050106 716427523 453853727 199456738 546229940 582869263 697618351 329747900 595175666 532075062 296917140 143304338 761085644 190058541 514062581 467268828 71166480 353247339 637946561 480459037 610259332 639281418 540727759\\n\",\n \"2\\n50626 300000\\n\",\n \"5\\n1000000000 100000000 10000000 1000000 100000\\n\",\n \"2\\n2562991876 16\\n\",\n \"50\\n153423475 640900906 773155924 97361082 413127059 154467262 26144388 172617533 117328815 312150912 45081238 438413693 686165576 490651756 383872273 601349776 181594954 624158354 48886108 767778455 631306840 58389993 403293668 405970047 308352764 293917056 430837844 571889516 676319197 27534222 91629265 481065958 347353980 687386676 398523806 42942805 5170734 720798096 577222949 560221824 427579517 165689347 516312275 38449250 384820273 545718776 677096599 604431275 422347009 96033594\\n\",\n \"3\\n10 100 10000\\n\",\n \"2\\n100 777777777777\\n\",\n \"4\\n2 3 9 10\\n\",\n \"2\\n2500000000 3000000000\\n\",\n \"3\\n10 10000 100000000000\\n\",\n \"3\\n2 3 10\\n\",\n \"3\\n2500000000 3000000000 1001\\n\",\n \"40\\n20390340 659951276 660648687 283496822 238806569 452159719 595601864 88859363 279265318 173415523 155896972 382680284 143902331 67085579 251233672 507418836 451689775 116050106 716427523 453853727 199456738 546229940 582869263 697618351 329747900 595175666 532075062 296917140 143304338 761085644 190058541 514062581 467268828 71166480 353247339 637946561 480459037 610259332 639281418 540727759\\n\",\n \"2\\n50626 74912\\n\",\n \"5\\n1000001000 100000000 10000000 1000000 100000\\n\",\n \"2\\n2562991876 31\\n\",\n \"50\\n153423475 640900906 773155924 97361082 413127059 154467262 26144388 172617533 117328815 312150912 45081238 438413693 686165576 490651756 383872273 601349776 181594954 624158354 48886108 767778455 631306840 58389993 403293668 405970047 308352764 293917056 524282771 571889516 676319197 27534222 91629265 481065958 347353980 687386676 398523806 42942805 5170734 720798096 577222949 560221824 427579517 165689347 516312275 38449250 384820273 545718776 677096599 604431275 422347009 96033594\\n\",\n \"2\\n101 777777777777\\n\",\n \"4\\n2 3 2 10\\n\",\n \"2\\n2500000000 650939923\\n\",\n \"3\\n11 10000 100000000000\\n\",\n \"3\\n2 3 15\\n\",\n \"10\\n1 2 3 4 5 6 2 8 9 10\\n\",\n \"1\\n2\\n\",\n \"2\\n1 3\\n\",\n \"3\\n2500000000 4627996199 1001\\n\",\n \"40\\n20390340 659951276 660648687 283496822 401165372 452159719 595601864 88859363 279265318 173415523 155896972 382680284 143902331 67085579 251233672 507418836 451689775 116050106 716427523 453853727 199456738 546229940 582869263 697618351 329747900 595175666 532075062 296917140 143304338 761085644 190058541 514062581 467268828 71166480 353247339 637946561 480459037 610259332 639281418 540727759\\n\",\n \"2\\n50626 68856\\n\",\n \"5\\n1000001000 100000000 10000010 1000000 100000\\n\",\n \"2\\n1831967450 31\\n\",\n \"50\\n153423475 640900906 773155924 97361082 413127059 154467262 26144388 172617533 117328815 312150912 45081238 438413693 686165576 490651756 383872273 601349776 181594954 624158354 48886108 767778455 631306840 58389993 403293668 405970047 308352764 375064482 524282771 571889516 676319197 27534222 91629265 481065958 347353980 687386676 398523806 42942805 5170734 720798096 577222949 560221824 427579517 165689347 516312275 38449250 384820273 545718776 677096599 604431275 422347009 96033594\\n\",\n \"2\\n001 777777777777\\n\",\n \"2\\n3699378272 650939923\\n\",\n \"3\\n11 10001 100000000000\\n\",\n \"3\\n4 3 15\\n\",\n \"10\\n1 2 3 4 7 6 2 8 9 10\\n\",\n \"1\\n4\\n\",\n \"2\\n2 3\\n\",\n \"3\\n480483433 4627996199 1001\\n\",\n \"40\\n20390340 659951276 660648687 283496822 253780334 452159719 595601864 88859363 279265318 173415523 155896972 382680284 143902331 67085579 251233672 507418836 451689775 116050106 716427523 453853727 199456738 546229940 582869263 697618351 329747900 595175666 532075062 296917140 143304338 761085644 190058541 514062581 467268828 71166480 353247339 637946561 480459037 610259332 639281418 540727759\\n\",\n \"2\\n73625 68856\\n\",\n \"5\\n1000001000 100000000 10000010 1000000 100010\\n\",\n \"2\\n1311723747 31\\n\",\n \"50\\n153423475 640900906 773155924 97361082 413127059 154467262 26144388 172617533 117328815 312150912 45081238 438413693 686165576 490651756 383872273 601349776 181594954 624158354 48886108 767778455 631306840 58389993 403293668 405970047 308352764 375064482 524282771 571889516 676319197 27534222 91629265 481065958 347353980 687386676 398523806 947896 5170734 720798096 577222949 560221824 427579517 165689347 516312275 38449250 384820273 545718776 677096599 604431275 422347009 96033594\\n\",\n \"2\\n011 777777777777\\n\",\n \"2\\n6352485103 650939923\\n\",\n \"3\\n11 10001 100001000000\\n\",\n \"3\\n4 2 15\\n\",\n \"10\\n1 2 4 4 7 6 2 8 9 10\\n\",\n \"1\\n8\\n\",\n \"2\\n3 3\\n\",\n \"3\\n480483433 4627996199 1011\\n\",\n \"40\\n20390340 659951276 660648687 283496822 253780334 452159719 595601864 53347450 279265318 173415523 155896972 382680284 143902331 67085579 251233672 507418836 451689775 116050106 716427523 453853727 199456738 546229940 582869263 697618351 329747900 595175666 532075062 296917140 143304338 761085644 190058541 514062581 467268828 71166480 353247339 637946561 480459037 610259332 639281418 540727759\\n\",\n \"2\\n73625 22126\\n\",\n \"5\\n1000000000 100000000 10000010 1000000 100010\\n\",\n \"2\\n2212954546 31\\n\",\n \"50\\n153423475 640900906 773155924 97361082 413127059 154467262 26144388 172617533 117328815 312150912 45081238 438413693 686165576 490651756 383872273 601349776 181594954 624158354 48886108 767778455 631306840 58389993 403293668 405970047 308352764 375064482 524282771 571889516 676319197 40325259 91629265 481065958 347353980 687386676 398523806 947896 5170734 720798096 577222949 560221824 427579517 165689347 516312275 38449250 384820273 545718776 677096599 604431275 422347009 96033594\\n\",\n \"2\\n6352485103 347804955\\n\",\n \"3\\n13 10001 100001000000\\n\",\n \"3\\n4 2 4\\n\",\n \"10\\n1 2 5 4 7 6 2 8 9 10\\n\",\n \"1\\n5\\n\",\n \"2\\n3 5\\n\",\n \"3\\n480483433 7241518991 1011\\n\",\n \"40\\n20390340 659951276 660648687 283496822 253780334 452159719 595601864 53347450 279265318 173415523 155896972 382680284 143902331 67085579 251233672 507418836 451689775 116050106 716427523 453853727 199456738 546229940 582869263 697618351 329747900 595175666 532075062 296917140 143304338 761085644 190058541 7682274 467268828 71166480 353247339 637946561 480459037 610259332 639281418 540727759\\n\",\n \"2\\n106418 22126\\n\",\n \"5\\n1000000000 100000000 10000010 1000000 101010\\n\",\n \"2\\n3278738 31\\n\",\n \"50\\n153423475 640900906 773155924 97361082 413127059 154467262 26144388 172617533 117328815 312150912 45081238 438413693 686165576 490651756 383872273 601349776 181594954 624158354 77338561 767778455 631306840 58389993 403293668 405970047 308352764 375064482 524282771 571889516 676319197 40325259 91629265 481065958 347353980 687386676 398523806 947896 5170734 720798096 577222949 560221824 427579517 165689347 516312275 38449250 384820273 545718776 677096599 604431275 422347009 96033594\\n\",\n \"2\\n6352485103 344611455\\n\",\n \"3\\n25 10001 100001000000\\n\",\n \"3\\n4 2 5\\n\",\n \"10\\n1 2 5 4 7 3 2 8 9 10\\n\",\n \"3\\n923135682 7241518991 1011\\n\",\n \"40\\n20390340 659951276 660648687 283496822 253780334 452159719 595601864 53347450 279265318 138412055 155896972 382680284 143902331 67085579 251233672 507418836 451689775 116050106 716427523 453853727 199456738 546229940 582869263 697618351 329747900 595175666 532075062 296917140 143304338 761085644 190058541 7682274 467268828 71166480 353247339 637946561 480459037 610259332 639281418 540727759\\n\",\n \"2\\n106418 13697\\n\",\n \"2\\n3278738 58\\n\",\n \"50\\n153423475 640900906 773155924 97361082 413127059 154467262 26144388 172617533 117328815 312150912 45081238 438413693 686165576 490651756 383872273 358406779 181594954 624158354 77338561 767778455 631306840 58389993 403293668 405970047 308352764 375064482 524282771 571889516 676319197 40325259 91629265 481065958 347353980 687386676 398523806 947896 5170734 720798096 577222949 560221824 427579517 165689347 516312275 38449250 384820273 545718776 677096599 604431275 422347009 96033594\\n\",\n \"2\\n10543927250 344611455\\n\",\n \"3\\n44 10001 100001000000\\n\",\n \"3\\n4 4 5\\n\",\n \"10\\n1 1 5 4 7 3 2 8 9 10\\n\",\n \"3\\n923135682 12194846381 1011\\n\",\n \"40\\n20390340 659951276 660648687 283496822 253780334 452159719 595601864 53347450 279265318 138412055 155896972 382680284 143902331 67085579 251233672 507418836 451689775 116050106 716427523 453853727 199456738 546229940 582869263 697618351 329747900 595175666 532075062 296917140 143304338 761085644 190058541 7682274 467268828 71166480 353247339 424062399 480459037 610259332 639281418 540727759\\n\"\n ],\n \"output\": [\n \"Furlo\\n\",\n \"Rublo\\n\",\n \"Rublo\\n\",\n \"Furlo\\n\",\n \"Rublo\\n\",\n \"Rublo\\n\",\n \"Furlo\\n\",\n \"Rublo\\n\",\n \"Rublo\\n\",\n \"Furlo\\n\",\n \"Furlo\\n\",\n \"Rublo\\n\",\n \"Furlo\\n\",\n \"Rublo\\n\",\n \"Furlo\\n\",\n \"Furlo\",\n \"Rublo\",\n \"Rublo\",\n \"Furlo\",\n \"Rublo\",\n \"Rublo\",\n \"Furlo\",\n \"Furlo\",\n \"Rublo\",\n \"Rublo\",\n \"Furlo\",\n \"Rublo\",\n \"Rublo\",\n \"Rublo\",\n \"Furlo\",\n \"Rublo\",\n \"Rublo\",\n \"Furlo\",\n \"Furlo\",\n \"Rublo\",\n \"Furlo\",\n \"Furlo\",\n \"Rublo\",\n \"Rublo\",\n \"Rublo\",\n \"Furlo\",\n \"Rublo\",\n \"Furlo\",\n \"Rublo\",\n \"Rublo\",\n \"Furlo\",\n \"Furlo\",\n \"Rublo\",\n \"Furlo\",\n \"Furlo\",\n \"Rublo\",\n \"Rublo\",\n \"Furlo\",\n \"Furlo\",\n \"Rublo\",\n \"Furlo\",\n \"Rublo\",\n \"Furlo\",\n \"Furlo\",\n \"Furlo\",\n \"Rublo\",\n \"Furlo\",\n \"Rublo\",\n \"Rublo\",\n \"Furlo\",\n \"Furlo\",\n \"Furlo\",\n \"Furlo\",\n \"Rublo\",\n \"Furlo\",\n \"Furlo\",\n \"Furlo\",\n \"Rublo\",\n \"Furlo\",\n \"Furlo\",\n \"Rublo\",\n \"Rublo\",\n \"Furlo\",\n \"Rublo\",\n \"Furlo\",\n \"Furlo\",\n \"Rublo\",\n \"Furlo\",\n \"Furlo\",\n \"Furlo\",\n \"Rublo\",\n \"Furlo\",\n \"Rublo\"\n ]\n}"},"source":{"kind":"class label","value":"2","name":"CODEFORCES"}}},{"rowIdx":38245,"cells":{"id":{"kind":"string","value":"279_E. Beautiful Decomposition_38245"},"description":{"kind":"string","value":"Valera considers a number beautiful, if it equals 2k or -2k for some integer k (k ≥ 0). Recently, the math teacher asked Valera to represent number n as the sum of beautiful numbers. As Valera is really greedy, he wants to complete the task using as few beautiful numbers as possible. \n\nHelp Valera and find, how many numbers he is going to need. In other words, if you look at all decompositions of the number n into beautiful summands, you need to find the size of the decomposition which has the fewest summands.\n\nInput\n\nThe first line contains string s (1 ≤ |s| ≤ 106), that is the binary representation of number n without leading zeroes (n > 0).\n\nOutput\n\nPrint a single integer — the minimum amount of beautiful numbers that give a total of n.\n\nExamples\n\nInput\n\n10\n\n\nOutput\n\n1\n\n\nInput\n\n111\n\n\nOutput\n\n2\n\n\nInput\n\n1101101\n\n\nOutput\n\n4\n\nNote\n\nIn the first sample n = 2 is a beautiful number.\n\nIn the second sample n = 7 and Valera can decompose it into sum 23 + ( - 20).\n\nIn the third sample n = 109 can be decomposed into the sum of four summands as follows: 27 + ( - 24) + ( - 22) + 20."},"code":{"kind":"string","value":"x = 0\ny = 1\nfor c in raw_input():\n\tif c == '0':\n\t\tx, y = min(x, y + 1), min(x, y) + 1\n\telse:\n\t\tx, y = min(x, y) + 1, min(x + 1, y)\nprint min(x, y + 1)"},"language":{"kind":"class label","value":"1","name":"Python2"},"test_samples":{"kind":"string","value":"{\n \"input\": [\n \"1101101\\n\",\n \"10\\n\",\n \"111\\n\",\n \"1001110101111000111010100110111000000110011011100111001111100001110011011001101110000000\\n\",\n \"1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111\\n\",\n \"110\\n\",\n \"110110011010110101101010111010010010101001001010000110111111000100\\n\",\n \"1010111\\n\",\n \"1011101\\n\",\n \"1101011001101110000000010000011111110100010000100011101010110100010010011110101001011111111001100011\\n\",\n \"1010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010\\n\",\n \"10101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010\\n\",\n \"10001100101100101000100101000100100111100001111001000011101001010001100111001010011111100101110101010011101101110000111111010100100111110000011111000100011000000010111011000110010110001100010011111100110011100001110011011110000011101111000110100010000111011010011101100101010010110011111101001000011101110111001001100011101100001001010000001110111011111000010101011110011100100000010110110000110000001000111001010101100110000110111100100111000001000101010101101000101111100111011110001000001110011001\\n\",\n \"10110100101\\n\",\n \"1100\\n\",\n \"1011001\\n\",\n \"101111110100100010101000110011010110001101011111100111001011011011010001010010100100101011100000001010000111001000110101001011000010011101010010110101000000101011000000001101000001010000000000001011000000101110001010110110010111010010110100010111100010110110100110101001000010101101011011000011111001110001000000110101010100001001110\\n\",\n \"111100010110110001011000100110100101100011101111111111000011100101110001000101101100110111101101110\\n\",\n \"10101010101010101010101010101010101010101010101010\\n\",\n \"110100\\n\",\n \"1111111111\\n\",\n \"1\\n\",\n \"11\\n\",\n \"11110010111010111000000111010101011100001100100100110100101110011111001100010\\n\",\n \"11010\\n\",\n \"1001110101111000111010100110111000000110011011100111001111100001100011011001101110000000\\n\",\n \"1111111111111111111111111111111111111111111111111111111111110111111111111111111111111111111111111111\\n\",\n \"110110011010110101101010111010010000101001001010000110111111000100\\n\",\n \"1101011001101110000100010000011111110100010000100011101010110100010010011110101001011111111001100011\\n\",\n \"1010101010101010101010101010101010101010101010101010101011101010101010101010101010101010101010101010\\n\",\n \"10101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101000101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010\\n\",\n \"10001100101100101000100101000100100111100001111001000011101001010001100111001010011111100101110101010011101101110000111111011100100111110000011111000100011000000010111011000110010110001100010011111100110011100001110011011110000011101111000110100010000111011010011101100101010010110011111101001000011101110111001001100011101100001001010000001110111011111000010101011110011100100000010110110000110000001000111001010101100110000110111100100111000001000101010101101000101111100111011110001000001110011001\\n\",\n \"10110100100\\n\",\n \"1000\\n\",\n \"101111110100100010101000110011010110001101011111100111001011011011010001010010100100101011100000001010000111001000110101001011000010011101010010110101000000101011000000001101000001010000000000001011000000101110001010110110010111010010110100010111100010110110100110101001000010101101011011000011111001110001000100110101010100001001110\\n\",\n \"111100010110110001011000100110100101100011101111111111000011100100110001000101101100110111101101110\\n\",\n \"10101010101010101010101010101010101010101010101110\\n\",\n \"111100\\n\",\n \"11110010111010111000000111010101011100001100100100110100111110011111001100010\\n\",\n \"1111111111111111111111111111111111111111111111111111111111110101111111111111111111111111111111111111\\n\",\n \"110110011010110101101010111000010000101001001010000110111111000100\\n\",\n \"1010101010101010101010101010101010101110101010101010101011101010101010101010101010101010101010101010\\n\",\n \"10101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010001010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101000101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010\\n\",\n \"10001100101100101000100101000100100111100001111001000011101001010001100111001010011111100101110101010011101101110000111111011100100111110000011111000100011000000010111011000100010110001100010011111100110011100001110011011110000011101111000110100010000111011010011101100101010010110011111101001000011101110111001001100011101100001001010000001110111011111000010101011110011100100000010110110000110000001000111001010101100110000110111100100111000001000101010101101000101111100111011110001000001110011001\\n\",\n \"101111110100100010101000110011010110001101011111100111001011011011010001010010100100101011100000001010000111001000100101001011000010011101010010110101000000101011000000001101000001010000000000001011000000101110001010110110010111010010110100010111100010110110100110101001000010101101011011000011111001110001000100110101010100001001110\\n\",\n \"110100010110110001011000100110100101100011101111111111000011100100110001000101101100110111101101110\\n\",\n \"10101010101110101010101010101010101010101010101110\\n\",\n \"1010101010101011101010101010101010101110101010101010101011101010101010101010101010101010101010101010\\n\",\n \"10101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010001010101010101010101010101010101010100010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101000101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010\\n\",\n \"101111110100100010101000110011110110001101011111100111001011011011010001010010100100101011100000001010000111001000100101001011000010011101010010110101000000101011000000001101000001010000000000001011000000101110001010110110010111010010110100010111100010110110100110101001000010101101011011000011111001110001000100110101010100001001110\\n\",\n \"1001110101111000111010100110111000000110011011100111001111100001000011011001101111000000\\n\",\n \"1111111111111111111111111111111111111111111111111111111110110101111111110111111111111111111111111111\\n\",\n \"1000111\\n\",\n \"1111101\\n\",\n \"1111001\\n\",\n \"1111011111\\n\",\n \"1101111\\n\",\n \"101\\n\",\n \"1011110101111000111010100110111000000110011011100111001111100001100011011001101110000000\\n\",\n \"1000011\\n\",\n \"1101011001101110000100010000011111110100010000110011101010110100010010011110101001011111111001100011\\n\",\n \"10110100000\\n\",\n \"1101\\n\",\n \"1101001\\n\",\n \"111110\\n\",\n \"11110010111010111000000111010101011100011100100100110100111110011111001100010\\n\",\n \"1101110\\n\",\n \"100\\n\",\n \"1001110101111000111010100110111000000110011011100111001111100001100011011001101111000000\\n\",\n \"1111111111111111111111111111111111111111111111111111111111110101111111110111111111111111111111111111\\n\",\n \"110110001010110101101010111000010000101001001010000110111111000100\\n\",\n \"1000010\\n\",\n \"1101011000101110000100010000011111110100010000110011101010110100010010011110101001011111111001100011\\n\",\n \"10001100101100101000100101000100100111100001111001000011101001010001100111001010011111100101110101010011101101110000111111011100100111110000011111000100011000000010111011010100010110001100010011111100110011100001110011011110000011101111000110100010000111011010011101100101010010110011111101001000011101110111001001100011101100001001010000001110111011111000010101011110011100100000010110110000110000001000111001010101100110000110111100100111000001000101010101101000101111100111011110001000001110011001\\n\",\n \"10111100000\\n\",\n \"1111\\n\",\n \"1101011\\n\",\n \"110100010110110001011000100110100101100011101111111111000111100100110001000101101100110111101101110\\n\",\n \"10101010101110101010101110101010101010101010101110\\n\",\n \"101110\\n\",\n \"11100010111010111000000111010101011100011100100100110100111110011111001100010\\n\",\n \"1111110\\n\",\n \"110110001010110101101010110000010000101001001010000110111111000100\\n\",\n \"1101011000101110000100010000010111110100010000110011101010110100010010011110101001011111111001100011\\n\"\n ],\n \"output\": [\n \"4\\n\",\n \"1\\n\",\n \"2\\n\",\n \"29\\n\",\n \"2\\n\",\n \"2\\n\",\n \"24\\n\",\n \"4\\n\",\n \"4\\n\",\n \"32\\n\",\n \"50\\n\",\n \"250\\n\",\n \"167\\n\",\n \"6\\n\",\n \"2\\n\",\n \"4\\n\",\n \"119\\n\",\n \"34\\n\",\n \"25\\n\",\n \"3\\n\",\n \"2\\n\",\n \"1\\n\",\n \"2\\n\",\n \"28\\n\",\n \"3\\n\",\n \"29\\n\",\n \"3\\n\",\n \"23\\n\",\n \"33\\n\",\n \"50\\n\",\n \"249\\n\",\n \"166\\n\",\n \"5\\n\",\n \"1\\n\",\n \"120\\n\",\n \"34\\n\",\n \"25\\n\",\n \"2\\n\",\n \"27\\n\",\n \"4\\n\",\n \"22\\n\",\n \"49\\n\",\n \"248\\n\",\n \"165\\n\",\n \"119\\n\",\n \"35\\n\",\n \"24\\n\",\n \"48\\n\",\n \"247\\n\",\n \"118\\n\",\n \"28\\n\",\n \"6\\n\",\n \"3\\n\",\n \"3\\n\",\n \"3\\n\",\n \"3\\n\",\n \"3\\n\",\n \"2\\n\",\n \"29\\n\",\n \"3\\n\",\n \"34\\n\",\n \"4\\n\",\n \"3\\n\",\n \"4\\n\",\n \"2\\n\",\n \"27\\n\",\n \"3\\n\",\n \"1\\n\",\n \"29\\n\",\n \"5\\n\",\n \"22\\n\",\n \"2\\n\",\n \"34\\n\",\n \"166\\n\",\n \"3\\n\",\n \"2\\n\",\n \"4\\n\",\n \"35\\n\",\n \"23\\n\",\n \"3\\n\",\n \"27\\n\",\n \"2\\n\",\n \"22\\n\",\n \"35\\n\"\n ]\n}"},"source":{"kind":"class label","value":"2","name":"CODEFORCES"}}},{"rowIdx":38246,"cells":{"id":{"kind":"string","value":"279_E. Beautiful Decomposition_38246"},"description":{"kind":"string","value":"Valera considers a number beautiful, if it equals 2k or -2k for some integer k (k ≥ 0). Recently, the math teacher asked Valera to represent number n as the sum of beautiful numbers. As Valera is really greedy, he wants to complete the task using as few beautiful numbers as possible. \n\nHelp Valera and find, how many numbers he is going to need. In other words, if you look at all decompositions of the number n into beautiful summands, you need to find the size of the decomposition which has the fewest summands.\n\nInput\n\nThe first line contains string s (1 ≤ |s| ≤ 106), that is the binary representation of number n without leading zeroes (n > 0).\n\nOutput\n\nPrint a single integer — the minimum amount of beautiful numbers that give a total of n.\n\nExamples\n\nInput\n\n10\n\n\nOutput\n\n1\n\n\nInput\n\n111\n\n\nOutput\n\n2\n\n\nInput\n\n1101101\n\n\nOutput\n\n4\n\nNote\n\nIn the first sample n = 2 is a beautiful number.\n\nIn the second sample n = 7 and Valera can decompose it into sum 23 + ( - 20).\n\nIn the third sample n = 109 can be decomposed into the sum of four summands as follows: 27 + ( - 24) + ( - 22) + 20."},"code":{"kind":"string","value":"#include \nusing namespace std;\nchar s[1000005];\nint n;\nint main() {\n scanf(\"%s\", s + 2);\n n = strlen(s + 2);\n int now = n + 1, ans = 0;\n while (1) {\n while (s[now] == '0') now--;\n if (s[now] == 0) break;\n int m = now;\n while (s[m] == '1') m--;\n if (m + 1 == now)\n ans++, now = m;\n else {\n s[m] = '1';\n now = m;\n ans++;\n }\n }\n cout << ans << endl;\n return 0;\n}\n"},"language":{"kind":"class label","value":"2","name":"C++"},"test_samples":{"kind":"string","value":"{\n \"input\": [\n \"1101101\\n\",\n \"10\\n\",\n \"111\\n\",\n \"1001110101111000111010100110111000000110011011100111001111100001110011011001101110000000\\n\",\n \"1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111\\n\",\n \"110\\n\",\n \"110110011010110101101010111010010010101001001010000110111111000100\\n\",\n \"1010111\\n\",\n \"1011101\\n\",\n \"1101011001101110000000010000011111110100010000100011101010110100010010011110101001011111111001100011\\n\",\n \"1010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010\\n\",\n \"10101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010\\n\",\n \"10001100101100101000100101000100100111100001111001000011101001010001100111001010011111100101110101010011101101110000111111010100100111110000011111000100011000000010111011000110010110001100010011111100110011100001110011011110000011101111000110100010000111011010011101100101010010110011111101001000011101110111001001100011101100001001010000001110111011111000010101011110011100100000010110110000110000001000111001010101100110000110111100100111000001000101010101101000101111100111011110001000001110011001\\n\",\n \"10110100101\\n\",\n \"1100\\n\",\n \"1011001\\n\",\n \"101111110100100010101000110011010110001101011111100111001011011011010001010010100100101011100000001010000111001000110101001011000010011101010010110101000000101011000000001101000001010000000000001011000000101110001010110110010111010010110100010111100010110110100110101001000010101101011011000011111001110001000000110101010100001001110\\n\",\n \"111100010110110001011000100110100101100011101111111111000011100101110001000101101100110111101101110\\n\",\n \"10101010101010101010101010101010101010101010101010\\n\",\n \"110100\\n\",\n \"1111111111\\n\",\n \"1\\n\",\n \"11\\n\",\n \"11110010111010111000000111010101011100001100100100110100101110011111001100010\\n\",\n \"11010\\n\",\n \"1001110101111000111010100110111000000110011011100111001111100001100011011001101110000000\\n\",\n \"1111111111111111111111111111111111111111111111111111111111110111111111111111111111111111111111111111\\n\",\n \"110110011010110101101010111010010000101001001010000110111111000100\\n\",\n \"1101011001101110000100010000011111110100010000100011101010110100010010011110101001011111111001100011\\n\",\n \"1010101010101010101010101010101010101010101010101010101011101010101010101010101010101010101010101010\\n\",\n \"10101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101000101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010\\n\",\n \"10001100101100101000100101000100100111100001111001000011101001010001100111001010011111100101110101010011101101110000111111011100100111110000011111000100011000000010111011000110010110001100010011111100110011100001110011011110000011101111000110100010000111011010011101100101010010110011111101001000011101110111001001100011101100001001010000001110111011111000010101011110011100100000010110110000110000001000111001010101100110000110111100100111000001000101010101101000101111100111011110001000001110011001\\n\",\n \"10110100100\\n\",\n \"1000\\n\",\n \"101111110100100010101000110011010110001101011111100111001011011011010001010010100100101011100000001010000111001000110101001011000010011101010010110101000000101011000000001101000001010000000000001011000000101110001010110110010111010010110100010111100010110110100110101001000010101101011011000011111001110001000100110101010100001001110\\n\",\n \"111100010110110001011000100110100101100011101111111111000011100100110001000101101100110111101101110\\n\",\n \"10101010101010101010101010101010101010101010101110\\n\",\n \"111100\\n\",\n \"11110010111010111000000111010101011100001100100100110100111110011111001100010\\n\",\n \"1111111111111111111111111111111111111111111111111111111111110101111111111111111111111111111111111111\\n\",\n \"110110011010110101101010111000010000101001001010000110111111000100\\n\",\n \"1010101010101010101010101010101010101110101010101010101011101010101010101010101010101010101010101010\\n\",\n \"10101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010001010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101000101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010\\n\",\n \"10001100101100101000100101000100100111100001111001000011101001010001100111001010011111100101110101010011101101110000111111011100100111110000011111000100011000000010111011000100010110001100010011111100110011100001110011011110000011101111000110100010000111011010011101100101010010110011111101001000011101110111001001100011101100001001010000001110111011111000010101011110011100100000010110110000110000001000111001010101100110000110111100100111000001000101010101101000101111100111011110001000001110011001\\n\",\n \"101111110100100010101000110011010110001101011111100111001011011011010001010010100100101011100000001010000111001000100101001011000010011101010010110101000000101011000000001101000001010000000000001011000000101110001010110110010111010010110100010111100010110110100110101001000010101101011011000011111001110001000100110101010100001001110\\n\",\n \"110100010110110001011000100110100101100011101111111111000011100100110001000101101100110111101101110\\n\",\n \"10101010101110101010101010101010101010101010101110\\n\",\n \"1010101010101011101010101010101010101110101010101010101011101010101010101010101010101010101010101010\\n\",\n \"10101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010001010101010101010101010101010101010100010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101000101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010\\n\",\n \"101111110100100010101000110011110110001101011111100111001011011011010001010010100100101011100000001010000111001000100101001011000010011101010010110101000000101011000000001101000001010000000000001011000000101110001010110110010111010010110100010111100010110110100110101001000010101101011011000011111001110001000100110101010100001001110\\n\",\n \"1001110101111000111010100110111000000110011011100111001111100001000011011001101111000000\\n\",\n \"1111111111111111111111111111111111111111111111111111111110110101111111110111111111111111111111111111\\n\",\n \"1000111\\n\",\n \"1111101\\n\",\n \"1111001\\n\",\n \"1111011111\\n\",\n \"1101111\\n\",\n \"101\\n\",\n \"1011110101111000111010100110111000000110011011100111001111100001100011011001101110000000\\n\",\n \"1000011\\n\",\n \"1101011001101110000100010000011111110100010000110011101010110100010010011110101001011111111001100011\\n\",\n \"10110100000\\n\",\n \"1101\\n\",\n \"1101001\\n\",\n \"111110\\n\",\n \"11110010111010111000000111010101011100011100100100110100111110011111001100010\\n\",\n \"1101110\\n\",\n \"100\\n\",\n \"1001110101111000111010100110111000000110011011100111001111100001100011011001101111000000\\n\",\n \"1111111111111111111111111111111111111111111111111111111111110101111111110111111111111111111111111111\\n\",\n \"110110001010110101101010111000010000101001001010000110111111000100\\n\",\n \"1000010\\n\",\n \"1101011000101110000100010000011111110100010000110011101010110100010010011110101001011111111001100011\\n\",\n \"10001100101100101000100101000100100111100001111001000011101001010001100111001010011111100101110101010011101101110000111111011100100111110000011111000100011000000010111011010100010110001100010011111100110011100001110011011110000011101111000110100010000111011010011101100101010010110011111101001000011101110111001001100011101100001001010000001110111011111000010101011110011100100000010110110000110000001000111001010101100110000110111100100111000001000101010101101000101111100111011110001000001110011001\\n\",\n \"10111100000\\n\",\n \"1111\\n\",\n \"1101011\\n\",\n \"110100010110110001011000100110100101100011101111111111000111100100110001000101101100110111101101110\\n\",\n \"10101010101110101010101110101010101010101010101110\\n\",\n \"101110\\n\",\n \"11100010111010111000000111010101011100011100100100110100111110011111001100010\\n\",\n \"1111110\\n\",\n \"110110001010110101101010110000010000101001001010000110111111000100\\n\",\n \"1101011000101110000100010000010111110100010000110011101010110100010010011110101001011111111001100011\\n\"\n ],\n \"output\": [\n \"4\\n\",\n \"1\\n\",\n \"2\\n\",\n \"29\\n\",\n \"2\\n\",\n \"2\\n\",\n \"24\\n\",\n \"4\\n\",\n \"4\\n\",\n \"32\\n\",\n \"50\\n\",\n \"250\\n\",\n \"167\\n\",\n \"6\\n\",\n \"2\\n\",\n \"4\\n\",\n \"119\\n\",\n \"34\\n\",\n \"25\\n\",\n \"3\\n\",\n \"2\\n\",\n \"1\\n\",\n \"2\\n\",\n \"28\\n\",\n \"3\\n\",\n \"29\\n\",\n \"3\\n\",\n \"23\\n\",\n \"33\\n\",\n \"50\\n\",\n \"249\\n\",\n \"166\\n\",\n \"5\\n\",\n \"1\\n\",\n \"120\\n\",\n \"34\\n\",\n \"25\\n\",\n \"2\\n\",\n \"27\\n\",\n \"4\\n\",\n \"22\\n\",\n \"49\\n\",\n \"248\\n\",\n \"165\\n\",\n \"119\\n\",\n \"35\\n\",\n \"24\\n\",\n \"48\\n\",\n \"247\\n\",\n \"118\\n\",\n \"28\\n\",\n \"6\\n\",\n \"3\\n\",\n \"3\\n\",\n \"3\\n\",\n \"3\\n\",\n \"3\\n\",\n \"2\\n\",\n \"29\\n\",\n \"3\\n\",\n \"34\\n\",\n \"4\\n\",\n \"3\\n\",\n \"4\\n\",\n \"2\\n\",\n \"27\\n\",\n \"3\\n\",\n \"1\\n\",\n \"29\\n\",\n \"5\\n\",\n \"22\\n\",\n \"2\\n\",\n \"34\\n\",\n \"166\\n\",\n \"3\\n\",\n \"2\\n\",\n \"4\\n\",\n \"35\\n\",\n \"23\\n\",\n \"3\\n\",\n \"27\\n\",\n \"2\\n\",\n \"22\\n\",\n \"35\\n\"\n ]\n}"},"source":{"kind":"class label","value":"2","name":"CODEFORCES"}}},{"rowIdx":38247,"cells":{"id":{"kind":"string","value":"279_E. Beautiful Decomposition_38247"},"description":{"kind":"string","value":"Valera considers a number beautiful, if it equals 2k or -2k for some integer k (k ≥ 0). Recently, the math teacher asked Valera to represent number n as the sum of beautiful numbers. As Valera is really greedy, he wants to complete the task using as few beautiful numbers as possible. \n\nHelp Valera and find, how many numbers he is going to need. In other words, if you look at all decompositions of the number n into beautiful summands, you need to find the size of the decomposition which has the fewest summands.\n\nInput\n\nThe first line contains string s (1 ≤ |s| ≤ 106), that is the binary representation of number n without leading zeroes (n > 0).\n\nOutput\n\nPrint a single integer — the minimum amount of beautiful numbers that give a total of n.\n\nExamples\n\nInput\n\n10\n\n\nOutput\n\n1\n\n\nInput\n\n111\n\n\nOutput\n\n2\n\n\nInput\n\n1101101\n\n\nOutput\n\n4\n\nNote\n\nIn the first sample n = 2 is a beautiful number.\n\nIn the second sample n = 7 and Valera can decompose it into sum 23 + ( - 20).\n\nIn the third sample n = 109 can be decomposed into the sum of four summands as follows: 27 + ( - 24) + ( - 22) + 20."},"code":{"kind":"string","value":"t = input()\nj = t[0]\nd, s = 0, int(j)\nfor i in t[1: ]:\n if j != i:\n if d == 1: d, s = 0, s + 1\n else: d = 1\n j = i\n else: d = 1\nprint(s + (d and j == '1'))"},"language":{"kind":"class label","value":"3","name":"Python3"},"test_samples":{"kind":"string","value":"{\n \"input\": [\n \"1101101\\n\",\n \"10\\n\",\n \"111\\n\",\n \"1001110101111000111010100110111000000110011011100111001111100001110011011001101110000000\\n\",\n \"1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111\\n\",\n \"110\\n\",\n \"110110011010110101101010111010010010101001001010000110111111000100\\n\",\n \"1010111\\n\",\n \"1011101\\n\",\n \"1101011001101110000000010000011111110100010000100011101010110100010010011110101001011111111001100011\\n\",\n \"1010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010\\n\",\n \"10101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010\\n\",\n \"10001100101100101000100101000100100111100001111001000011101001010001100111001010011111100101110101010011101101110000111111010100100111110000011111000100011000000010111011000110010110001100010011111100110011100001110011011110000011101111000110100010000111011010011101100101010010110011111101001000011101110111001001100011101100001001010000001110111011111000010101011110011100100000010110110000110000001000111001010101100110000110111100100111000001000101010101101000101111100111011110001000001110011001\\n\",\n \"10110100101\\n\",\n \"1100\\n\",\n \"1011001\\n\",\n \"101111110100100010101000110011010110001101011111100111001011011011010001010010100100101011100000001010000111001000110101001011000010011101010010110101000000101011000000001101000001010000000000001011000000101110001010110110010111010010110100010111100010110110100110101001000010101101011011000011111001110001000000110101010100001001110\\n\",\n \"111100010110110001011000100110100101100011101111111111000011100101110001000101101100110111101101110\\n\",\n \"10101010101010101010101010101010101010101010101010\\n\",\n \"110100\\n\",\n \"1111111111\\n\",\n \"1\\n\",\n \"11\\n\",\n \"11110010111010111000000111010101011100001100100100110100101110011111001100010\\n\",\n \"11010\\n\",\n \"1001110101111000111010100110111000000110011011100111001111100001100011011001101110000000\\n\",\n \"1111111111111111111111111111111111111111111111111111111111110111111111111111111111111111111111111111\\n\",\n \"110110011010110101101010111010010000101001001010000110111111000100\\n\",\n \"1101011001101110000100010000011111110100010000100011101010110100010010011110101001011111111001100011\\n\",\n \"1010101010101010101010101010101010101010101010101010101011101010101010101010101010101010101010101010\\n\",\n \"10101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101000101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010\\n\",\n \"10001100101100101000100101000100100111100001111001000011101001010001100111001010011111100101110101010011101101110000111111011100100111110000011111000100011000000010111011000110010110001100010011111100110011100001110011011110000011101111000110100010000111011010011101100101010010110011111101001000011101110111001001100011101100001001010000001110111011111000010101011110011100100000010110110000110000001000111001010101100110000110111100100111000001000101010101101000101111100111011110001000001110011001\\n\",\n \"10110100100\\n\",\n \"1000\\n\",\n \"101111110100100010101000110011010110001101011111100111001011011011010001010010100100101011100000001010000111001000110101001011000010011101010010110101000000101011000000001101000001010000000000001011000000101110001010110110010111010010110100010111100010110110100110101001000010101101011011000011111001110001000100110101010100001001110\\n\",\n \"111100010110110001011000100110100101100011101111111111000011100100110001000101101100110111101101110\\n\",\n \"10101010101010101010101010101010101010101010101110\\n\",\n \"111100\\n\",\n \"11110010111010111000000111010101011100001100100100110100111110011111001100010\\n\",\n \"1111111111111111111111111111111111111111111111111111111111110101111111111111111111111111111111111111\\n\",\n \"110110011010110101101010111000010000101001001010000110111111000100\\n\",\n \"1010101010101010101010101010101010101110101010101010101011101010101010101010101010101010101010101010\\n\",\n \"10101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010001010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101000101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010\\n\",\n \"10001100101100101000100101000100100111100001111001000011101001010001100111001010011111100101110101010011101101110000111111011100100111110000011111000100011000000010111011000100010110001100010011111100110011100001110011011110000011101111000110100010000111011010011101100101010010110011111101001000011101110111001001100011101100001001010000001110111011111000010101011110011100100000010110110000110000001000111001010101100110000110111100100111000001000101010101101000101111100111011110001000001110011001\\n\",\n \"101111110100100010101000110011010110001101011111100111001011011011010001010010100100101011100000001010000111001000100101001011000010011101010010110101000000101011000000001101000001010000000000001011000000101110001010110110010111010010110100010111100010110110100110101001000010101101011011000011111001110001000100110101010100001001110\\n\",\n \"110100010110110001011000100110100101100011101111111111000011100100110001000101101100110111101101110\\n\",\n \"10101010101110101010101010101010101010101010101110\\n\",\n \"1010101010101011101010101010101010101110101010101010101011101010101010101010101010101010101010101010\\n\",\n \"10101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010001010101010101010101010101010101010100010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101000101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010\\n\",\n \"101111110100100010101000110011110110001101011111100111001011011011010001010010100100101011100000001010000111001000100101001011000010011101010010110101000000101011000000001101000001010000000000001011000000101110001010110110010111010010110100010111100010110110100110101001000010101101011011000011111001110001000100110101010100001001110\\n\",\n \"1001110101111000111010100110111000000110011011100111001111100001000011011001101111000000\\n\",\n \"1111111111111111111111111111111111111111111111111111111110110101111111110111111111111111111111111111\\n\",\n \"1000111\\n\",\n \"1111101\\n\",\n \"1111001\\n\",\n \"1111011111\\n\",\n \"1101111\\n\",\n \"101\\n\",\n \"1011110101111000111010100110111000000110011011100111001111100001100011011001101110000000\\n\",\n \"1000011\\n\",\n \"1101011001101110000100010000011111110100010000110011101010110100010010011110101001011111111001100011\\n\",\n \"10110100000\\n\",\n \"1101\\n\",\n \"1101001\\n\",\n \"111110\\n\",\n \"11110010111010111000000111010101011100011100100100110100111110011111001100010\\n\",\n \"1101110\\n\",\n \"100\\n\",\n \"1001110101111000111010100110111000000110011011100111001111100001100011011001101111000000\\n\",\n \"1111111111111111111111111111111111111111111111111111111111110101111111110111111111111111111111111111\\n\",\n \"110110001010110101101010111000010000101001001010000110111111000100\\n\",\n \"1000010\\n\",\n \"1101011000101110000100010000011111110100010000110011101010110100010010011110101001011111111001100011\\n\",\n \"10001100101100101000100101000100100111100001111001000011101001010001100111001010011111100101110101010011101101110000111111011100100111110000011111000100011000000010111011010100010110001100010011111100110011100001110011011110000011101111000110100010000111011010011101100101010010110011111101001000011101110111001001100011101100001001010000001110111011111000010101011110011100100000010110110000110000001000111001010101100110000110111100100111000001000101010101101000101111100111011110001000001110011001\\n\",\n \"10111100000\\n\",\n \"1111\\n\",\n \"1101011\\n\",\n \"110100010110110001011000100110100101100011101111111111000111100100110001000101101100110111101101110\\n\",\n \"10101010101110101010101110101010101010101010101110\\n\",\n \"101110\\n\",\n \"11100010111010111000000111010101011100011100100100110100111110011111001100010\\n\",\n \"1111110\\n\",\n \"110110001010110101101010110000010000101001001010000110111111000100\\n\",\n \"1101011000101110000100010000010111110100010000110011101010110100010010011110101001011111111001100011\\n\"\n ],\n \"output\": [\n \"4\\n\",\n \"1\\n\",\n \"2\\n\",\n \"29\\n\",\n \"2\\n\",\n \"2\\n\",\n \"24\\n\",\n \"4\\n\",\n \"4\\n\",\n \"32\\n\",\n \"50\\n\",\n \"250\\n\",\n \"167\\n\",\n \"6\\n\",\n \"2\\n\",\n \"4\\n\",\n \"119\\n\",\n \"34\\n\",\n \"25\\n\",\n \"3\\n\",\n \"2\\n\",\n \"1\\n\",\n \"2\\n\",\n \"28\\n\",\n \"3\\n\",\n \"29\\n\",\n \"3\\n\",\n \"23\\n\",\n \"33\\n\",\n \"50\\n\",\n \"249\\n\",\n \"166\\n\",\n \"5\\n\",\n \"1\\n\",\n \"120\\n\",\n \"34\\n\",\n \"25\\n\",\n \"2\\n\",\n \"27\\n\",\n \"4\\n\",\n \"22\\n\",\n \"49\\n\",\n \"248\\n\",\n \"165\\n\",\n \"119\\n\",\n \"35\\n\",\n \"24\\n\",\n \"48\\n\",\n \"247\\n\",\n \"118\\n\",\n \"28\\n\",\n \"6\\n\",\n \"3\\n\",\n \"3\\n\",\n \"3\\n\",\n \"3\\n\",\n \"3\\n\",\n \"2\\n\",\n \"29\\n\",\n \"3\\n\",\n \"34\\n\",\n \"4\\n\",\n \"3\\n\",\n \"4\\n\",\n \"2\\n\",\n \"27\\n\",\n \"3\\n\",\n \"1\\n\",\n \"29\\n\",\n \"5\\n\",\n \"22\\n\",\n \"2\\n\",\n \"34\\n\",\n \"166\\n\",\n \"3\\n\",\n \"2\\n\",\n \"4\\n\",\n \"35\\n\",\n \"23\\n\",\n \"3\\n\",\n \"27\\n\",\n \"2\\n\",\n \"22\\n\",\n \"35\\n\"\n ]\n}"},"source":{"kind":"class label","value":"2","name":"CODEFORCES"}}},{"rowIdx":38248,"cells":{"id":{"kind":"string","value":"279_E. Beautiful Decomposition_38248"},"description":{"kind":"string","value":"Valera considers a number beautiful, if it equals 2k or -2k for some integer k (k ≥ 0). Recently, the math teacher asked Valera to represent number n as the sum of beautiful numbers. As Valera is really greedy, he wants to complete the task using as few beautiful numbers as possible. \n\nHelp Valera and find, how many numbers he is going to need. In other words, if you look at all decompositions of the number n into beautiful summands, you need to find the size of the decomposition which has the fewest summands.\n\nInput\n\nThe first line contains string s (1 ≤ |s| ≤ 106), that is the binary representation of number n without leading zeroes (n > 0).\n\nOutput\n\nPrint a single integer — the minimum amount of beautiful numbers that give a total of n.\n\nExamples\n\nInput\n\n10\n\n\nOutput\n\n1\n\n\nInput\n\n111\n\n\nOutput\n\n2\n\n\nInput\n\n1101101\n\n\nOutput\n\n4\n\nNote\n\nIn the first sample n = 2 is a beautiful number.\n\nIn the second sample n = 7 and Valera can decompose it into sum 23 + ( - 20).\n\nIn the third sample n = 109 can be decomposed into the sum of four summands as follows: 27 + ( - 24) + ( - 22) + 20."},"code":{"kind":"string","value":"import java.awt.*;\nimport java.awt.event.*;\nimport java.awt.geom.*;\nimport java.io.*;\nimport java.math.*;\nimport java.text.*; \nimport java.util.*;\n\n/*\nbr = new BufferedReader(new FileReader(\"input.txt\"));\npw = new PrintWriter(new BufferedWriter(new FileWriter(\"output.txt\")));\nbr = new BufferedReader(new InputStreamReader(System.in));\npw = new PrintWriter(new BufferedWriter(new OutputStreamWriter(System.out)));\n */\n\npublic class Main {\n private static BufferedReader br;\n private static StringTokenizer st;\n private static PrintWriter pw;\n\n public static void main(String[] args) throws IOException {\n br = new BufferedReader(new InputStreamReader(System.in));\n pw = new PrintWriter(new BufferedWriter(new OutputStreamWriter(System.out)));\n //int qq = 1;\n int qq = Integer.MAX_VALUE;\n //int qq = readInt();\n for(int casenum = 1; casenum <= qq; casenum++) {\n String str = nextToken();\n Stack stack = new Stack();\n for(int i = 0; i < str.length();) {\n if(str.charAt(i) == '0') {\n i++;\n continue;\n }\n int j = i+1;\n while(j < str.length() && str.charAt(j) == '1') {\n j++;\n }\n stack.push(new State(i,j-1));\n i=j;\n }\n int ret = 0;\n while(!stack.isEmpty()) {\n State curr = stack.pop();\n if(curr.a == curr.b) {\n ret++;\n }\n else {\n if(stack.isEmpty()) {\n ret += 2;\n }\n else {\n if(stack.peek().b + 2 == curr.a) {\n stack.peek().b++;\n ret++;\n }\n else {\n ret += 2;\n }\n }\n }\n }\n pw.println(ret);\n }\n pw.close();\n }\n\n static class State {\n public int a,b;\n\n public State(int a, int b) {\n super();\n this.a = a;\n this.b = b;\n }\n \n }\n \n private static void exitImmediately() {\n pw.close();\n System.exit(0);\n }\n\n private static long readLong() throws IOException {\n return Long.parseLong(nextToken());\n }\n\n private static double readDouble() throws IOException {\n return Double.parseDouble(nextToken());\n }\n\n private static int readInt() throws IOException {\n return Integer.parseInt(nextToken());\n }\n\n private static String nextToken() throws IOException {\n while(st == null || !st.hasMoreTokens()) {\n if(!br.ready()) {\n exitImmediately();\n }\n st = new StringTokenizer(br.readLine().trim());\n }\n return st.nextToken();\n }\n}\n\n\n"},"language":{"kind":"class label","value":"4","name":"JAVA"},"test_samples":{"kind":"string","value":"{\n \"input\": [\n \"1101101\\n\",\n \"10\\n\",\n \"111\\n\",\n \"1001110101111000111010100110111000000110011011100111001111100001110011011001101110000000\\n\",\n \"1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111\\n\",\n \"110\\n\",\n \"110110011010110101101010111010010010101001001010000110111111000100\\n\",\n \"1010111\\n\",\n \"1011101\\n\",\n \"1101011001101110000000010000011111110100010000100011101010110100010010011110101001011111111001100011\\n\",\n \"1010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010\\n\",\n \"10101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010\\n\",\n \"10001100101100101000100101000100100111100001111001000011101001010001100111001010011111100101110101010011101101110000111111010100100111110000011111000100011000000010111011000110010110001100010011111100110011100001110011011110000011101111000110100010000111011010011101100101010010110011111101001000011101110111001001100011101100001001010000001110111011111000010101011110011100100000010110110000110000001000111001010101100110000110111100100111000001000101010101101000101111100111011110001000001110011001\\n\",\n \"10110100101\\n\",\n \"1100\\n\",\n \"1011001\\n\",\n \"101111110100100010101000110011010110001101011111100111001011011011010001010010100100101011100000001010000111001000110101001011000010011101010010110101000000101011000000001101000001010000000000001011000000101110001010110110010111010010110100010111100010110110100110101001000010101101011011000011111001110001000000110101010100001001110\\n\",\n \"111100010110110001011000100110100101100011101111111111000011100101110001000101101100110111101101110\\n\",\n \"10101010101010101010101010101010101010101010101010\\n\",\n \"110100\\n\",\n \"1111111111\\n\",\n \"1\\n\",\n \"11\\n\",\n \"11110010111010111000000111010101011100001100100100110100101110011111001100010\\n\",\n \"11010\\n\",\n \"1001110101111000111010100110111000000110011011100111001111100001100011011001101110000000\\n\",\n \"1111111111111111111111111111111111111111111111111111111111110111111111111111111111111111111111111111\\n\",\n \"110110011010110101101010111010010000101001001010000110111111000100\\n\",\n \"1101011001101110000100010000011111110100010000100011101010110100010010011110101001011111111001100011\\n\",\n \"1010101010101010101010101010101010101010101010101010101011101010101010101010101010101010101010101010\\n\",\n 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\"10001100101100101000100101000100100111100001111001000011101001010001100111001010011111100101110101010011101101110000111111011100100111110000011111000100011000000010111011000110010110001100010011111100110011100001110011011110000011101111000110100010000111011010011101100101010010110011111101001000011101110111001001100011101100001001010000001110111011111000010101011110011100100000010110110000110000001000111001010101100110000110111100100111000001000101010101101000101111100111011110001000001110011001\\n\",\n \"10110100100\\n\",\n \"1000\\n\",\n \"101111110100100010101000110011010110001101011111100111001011011011010001010010100100101011100000001010000111001000110101001011000010011101010010110101000000101011000000001101000001010000000000001011000000101110001010110110010111010010110100010111100010110110100110101001000010101101011011000011111001110001000100110101010100001001110\\n\",\n \"111100010110110001011000100110100101100011101111111111000011100100110001000101101100110111101101110\\n\",\n \"10101010101010101010101010101010101010101010101110\\n\",\n \"111100\\n\",\n \"11110010111010111000000111010101011100001100100100110100111110011111001100010\\n\",\n \"1111111111111111111111111111111111111111111111111111111111110101111111111111111111111111111111111111\\n\",\n \"110110011010110101101010111000010000101001001010000110111111000100\\n\",\n \"1010101010101010101010101010101010101110101010101010101011101010101010101010101010101010101010101010\\n\",\n 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\"10001100101100101000100101000100100111100001111001000011101001010001100111001010011111100101110101010011101101110000111111011100100111110000011111000100011000000010111011000100010110001100010011111100110011100001110011011110000011101111000110100010000111011010011101100101010010110011111101001000011101110111001001100011101100001001010000001110111011111000010101011110011100100000010110110000110000001000111001010101100110000110111100100111000001000101010101101000101111100111011110001000001110011001\\n\",\n \"101111110100100010101000110011010110001101011111100111001011011011010001010010100100101011100000001010000111001000100101001011000010011101010010110101000000101011000000001101000001010000000000001011000000101110001010110110010111010010110100010111100010110110100110101001000010101101011011000011111001110001000100110101010100001001110\\n\",\n \"110100010110110001011000100110100101100011101111111111000011100100110001000101101100110111101101110\\n\",\n \"10101010101110101010101010101010101010101010101110\\n\",\n \"1010101010101011101010101010101010101110101010101010101011101010101010101010101010101010101010101010\\n\",\n \"10101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010001010101010101010101010101010101010100010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101000101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010\\n\",\n \"101111110100100010101000110011110110001101011111100111001011011011010001010010100100101011100000001010000111001000100101001011000010011101010010110101000000101011000000001101000001010000000000001011000000101110001010110110010111010010110100010111100010110110100110101001000010101101011011000011111001110001000100110101010100001001110\\n\",\n \"1001110101111000111010100110111000000110011011100111001111100001000011011001101111000000\\n\",\n \"1111111111111111111111111111111111111111111111111111111110110101111111110111111111111111111111111111\\n\",\n \"1000111\\n\",\n \"1111101\\n\",\n \"1111001\\n\",\n \"1111011111\\n\",\n \"1101111\\n\",\n \"101\\n\",\n \"1011110101111000111010100110111000000110011011100111001111100001100011011001101110000000\\n\",\n \"1000011\\n\",\n \"1101011001101110000100010000011111110100010000110011101010110100010010011110101001011111111001100011\\n\",\n \"10110100000\\n\",\n \"1101\\n\",\n \"1101001\\n\",\n \"111110\\n\",\n \"11110010111010111000000111010101011100011100100100110100111110011111001100010\\n\",\n \"1101110\\n\",\n \"100\\n\",\n \"1001110101111000111010100110111000000110011011100111001111100001100011011001101111000000\\n\",\n \"1111111111111111111111111111111111111111111111111111111111110101111111110111111111111111111111111111\\n\",\n \"110110001010110101101010111000010000101001001010000110111111000100\\n\",\n \"1000010\\n\",\n \"1101011000101110000100010000011111110100010000110011101010110100010010011110101001011111111001100011\\n\",\n \"10001100101100101000100101000100100111100001111001000011101001010001100111001010011111100101110101010011101101110000111111011100100111110000011111000100011000000010111011010100010110001100010011111100110011100001110011011110000011101111000110100010000111011010011101100101010010110011111101001000011101110111001001100011101100001001010000001110111011111000010101011110011100100000010110110000110000001000111001010101100110000110111100100111000001000101010101101000101111100111011110001000001110011001\\n\",\n \"10111100000\\n\",\n \"1111\\n\",\n \"1101011\\n\",\n \"110100010110110001011000100110100101100011101111111111000111100100110001000101101100110111101101110\\n\",\n \"10101010101110101010101110101010101010101010101110\\n\",\n \"101110\\n\",\n \"11100010111010111000000111010101011100011100100100110100111110011111001100010\\n\",\n \"1111110\\n\",\n \"110110001010110101101010110000010000101001001010000110111111000100\\n\",\n \"1101011000101110000100010000010111110100010000110011101010110100010010011110101001011111111001100011\\n\"\n ],\n \"output\": [\n \"4\\n\",\n \"1\\n\",\n \"2\\n\",\n \"29\\n\",\n \"2\\n\",\n \"2\\n\",\n \"24\\n\",\n \"4\\n\",\n \"4\\n\",\n \"32\\n\",\n \"50\\n\",\n \"250\\n\",\n \"167\\n\",\n \"6\\n\",\n \"2\\n\",\n \"4\\n\",\n \"119\\n\",\n \"34\\n\",\n \"25\\n\",\n \"3\\n\",\n \"2\\n\",\n \"1\\n\",\n \"2\\n\",\n \"28\\n\",\n \"3\\n\",\n \"29\\n\",\n \"3\\n\",\n \"23\\n\",\n \"33\\n\",\n \"50\\n\",\n \"249\\n\",\n \"166\\n\",\n \"5\\n\",\n \"1\\n\",\n \"120\\n\",\n \"34\\n\",\n \"25\\n\",\n \"2\\n\",\n \"27\\n\",\n \"4\\n\",\n \"22\\n\",\n \"49\\n\",\n \"248\\n\",\n \"165\\n\",\n \"119\\n\",\n \"35\\n\",\n \"24\\n\",\n \"48\\n\",\n \"247\\n\",\n \"118\\n\",\n \"28\\n\",\n \"6\\n\",\n \"3\\n\",\n \"3\\n\",\n \"3\\n\",\n \"3\\n\",\n \"3\\n\",\n \"2\\n\",\n \"29\\n\",\n \"3\\n\",\n \"34\\n\",\n \"4\\n\",\n \"3\\n\",\n \"4\\n\",\n \"2\\n\",\n \"27\\n\",\n \"3\\n\",\n \"1\\n\",\n \"29\\n\",\n \"5\\n\",\n \"22\\n\",\n \"2\\n\",\n \"34\\n\",\n \"166\\n\",\n \"3\\n\",\n \"2\\n\",\n \"4\\n\",\n \"35\\n\",\n \"23\\n\",\n \"3\\n\",\n \"27\\n\",\n \"2\\n\",\n \"22\\n\",\n \"35\\n\"\n ]\n}"},"source":{"kind":"class label","value":"2","name":"CODEFORCES"}}},{"rowIdx":38249,"cells":{"id":{"kind":"string","value":"301_D. Yaroslav and Divisors_38249"},"description":{"kind":"string","value":"Yaroslav has an array p = p1, p2, ..., pn (1 ≤ pi ≤ n), consisting of n distinct integers. Also, he has m queries:\n\n * Query number i is represented as a pair of integers li, ri (1 ≤ li ≤ ri ≤ n). \n * The answer to the query li, ri is the number of pairs of integers q, w (li ≤ q, w ≤ ri) such that pq is the divisor of pw. \n\n\n\nHelp Yaroslav, answer all his queries.\n\nInput\n\nThe first line contains the integers n and m (1 ≤ n, m ≤ 2·105). The second line contains n distinct integers p1, p2, ..., pn (1 ≤ pi ≤ n). The following m lines contain Yaroslav's queries. The i-th line contains integers li, ri (1 ≤ li ≤ ri ≤ n).\n\nOutput\n\nPrint m integers — the answers to Yaroslav's queries in the order they appear in the input.\n\nPlease, do not use the %lld specifier to read or write 64-bit integers in C++. It is preferred to use the cin, cout streams or the %I64d specifier.\n\nExamples\n\nInput\n\n1 1\n1\n1 1\n\n\nOutput\n\n1\n\n\nInput\n\n10 9\n1 2 3 4 5 6 7 8 9 10\n1 10\n2 9\n3 8\n4 7\n5 6\n2 2\n9 10\n5 10\n4 10\n\n\nOutput\n\n27\n14\n8\n4\n2\n1\n2\n7\n9"},"code":{"kind":"string","value":"#include \nusing namespace std;\nconst int N = 201000;\nint n, a[N], pos[N], l[N], r[N], C[N], idx[N], ans[N];\nvector nu[N];\nvoid bitModify(int p) {\n for (int i = p; i > 0; i -= i & -i) C[i]++;\n}\nint bitQuery(int p) {\n int ret = 0;\n for (int i = p; i <= n; i += i & -i) ret += C[i];\n return ret;\n}\nbool cmp(int a, int b) { return r[a] < r[b]; }\nint main() {\n int nq;\n scanf(\"%d%d\", &n, &nq);\n for (int i = 1; i <= n; i++) {\n scanf(\"%d\", &a[i]);\n pos[a[i]] = i;\n }\n for (int i = 1; i <= n; i++) {\n for (int j = 1; i * j <= n; j++) {\n int a = pos[i];\n int b = pos[i * j];\n if (a > b) swap(a, b);\n nu[b].push_back(a);\n }\n }\n for (int i = 0; i < nq; i++) {\n scanf(\"%d%d\", &l[i], &r[i]);\n idx[i] = i;\n }\n sort(idx, idx + nq, cmp);\n int p = 0;\n for (int i = 0; i < nq; i++) {\n int ll = l[idx[i]];\n int rr = r[idx[i]];\n while (p < rr) {\n p++;\n for (int i = 0; i < (int)nu[p].size(); i++) {\n bitModify(nu[p][i]);\n }\n }\n ans[idx[i]] = bitQuery(ll);\n }\n for (int i = 0; i < nq; i++) {\n printf(\"%d%c\", ans[i], \" \\n\"[i == nq - 1]);\n }\n return 0;\n}\n"},"language":{"kind":"class label","value":"2","name":"C++"},"test_samples":{"kind":"string","value":"{\n \"input\": [\n \"1 1\\n1\\n1 1\\n\",\n \"10 9\\n1 2 3 4 5 6 7 8 9 10\\n1 10\\n2 9\\n3 8\\n4 7\\n5 6\\n2 2\\n9 10\\n5 10\\n4 10\\n\",\n \"8 8\\n1 2 3 4 5 6 7 8\\n5 6\\n4 8\\n3 8\\n2 4\\n3 5\\n5 7\\n4 4\\n4 8\\n\",\n \"3 3\\n1 2 3\\n1 1\\n2 3\\n1 1\\n\",\n \"3 3\\n3 2 1\\n1 3\\n1 3\\n1 3\\n\",\n \"4 4\\n4 2 3 1\\n3 4\\n1 4\\n1 2\\n4 4\\n\",\n \"5 5\\n1 2 3 4 5\\n1 5\\n1 5\\n1 2\\n1 5\\n1 5\\n\",\n \"10 10\\n1 2 3 4 5 6 7 8 9 10\\n4 8\\n5 10\\n1 10\\n9 10\\n1 2\\n4 8\\n3 5\\n3 7\\n3 8\\n5 9\\n\",\n \"2 2\\n1 2\\n1 2\\n2 2\\n\",\n \"9 9\\n1 2 3 4 5 6 7 8 9\\n1 9\\n1 1\\n4 5\\n1 7\\n2 3\\n3 5\\n1 7\\n6 8\\n1 1\\n\",\n \"6 6\\n1 2 3 4 5 6\\n2 5\\n1 3\\n1 4\\n1 6\\n3 4\\n1 3\\n\",\n \"7 7\\n1 2 3 4 5 6 7\\n1 7\\n1 7\\n1 7\\n1 7\\n1 7\\n1 7\\n1 1\\n\",\n \"2 2\\n1 2\\n2 2\\n2 2\\n\",\n \"6 6\\n1 2 3 4 5 6\\n2 5\\n2 3\\n1 4\\n1 6\\n3 4\\n1 3\\n\",\n \"3 3\\n1 2 3\\n1 1\\n2 3\\n1 2\\n\",\n \"6 6\\n1 2 3 4 5 6\\n2 5\\n2 3\\n1 4\\n1 6\\n3 4\\n1 4\\n\",\n \"3 3\\n3 2 1\\n1 3\\n2 3\\n1 3\\n\",\n \"5 5\\n1 2 3 4 5\\n1 5\\n2 5\\n1 2\\n1 5\\n1 5\\n\",\n \"2 2\\n1 2\\n1 2\\n1 2\\n\",\n \"5 5\\n1 2 3 4 5\\n1 5\\n2 5\\n1 2\\n2 5\\n1 5\\n\",\n \"2 2\\n1 2\\n1 2\\n1 1\\n\",\n \"5 5\\n1 2 3 4 5\\n1 1\\n2 5\\n1 2\\n2 5\\n1 5\\n\",\n \"5 5\\n1 2 3 4 5\\n1 1\\n2 2\\n1 2\\n2 5\\n1 5\\n\",\n \"3 3\\n3 2 1\\n1 3\\n1 3\\n2 3\\n\",\n \"5 5\\n1 2 3 4 5\\n1 5\\n1 5\\n1 2\\n2 5\\n1 5\\n\",\n \"6 6\\n1 2 3 4 5 6\\n2 5\\n2 4\\n1 4\\n1 6\\n3 4\\n1 3\\n\",\n \"5 5\\n1 2 3 4 5\\n1 1\\n2 5\\n1 2\\n2 5\\n2 5\\n\",\n \"5 5\\n1 2 3 4 5\\n1 1\\n2 2\\n1 2\\n1 5\\n1 5\\n\",\n \"3 3\\n3 2 1\\n1 1\\n1 3\\n2 3\\n\",\n \"5 5\\n1 2 3 4 5\\n1 5\\n1 5\\n1 4\\n2 5\\n1 5\\n\",\n \"5 5\\n1 2 3 4 5\\n1 2\\n2 2\\n1 2\\n1 5\\n1 5\\n\",\n \"3 3\\n3 2 1\\n1 1\\n1 3\\n2 2\\n\",\n \"4 4\\n4 2 3 1\\n3 4\\n1 4\\n1 2\\n1 4\\n\",\n \"6 6\\n1 2 3 4 5 6\\n2 5\\n2 3\\n1 2\\n1 6\\n3 4\\n1 4\\n\",\n \"5 5\\n1 2 3 4 5\\n1 1\\n2 5\\n1 3\\n2 5\\n1 5\\n\",\n \"5 5\\n1 2 3 4 5\\n1 5\\n1 5\\n1 2\\n2 5\\n1 3\\n\",\n \"5 5\\n1 2 3 4 5\\n1 1\\n4 5\\n1 2\\n2 5\\n2 5\\n\",\n \"5 5\\n1 2 3 4 5\\n2 5\\n1 5\\n1 2\\n2 5\\n1 3\\n\",\n \"5 5\\n1 2 3 4 5\\n1 1\\n4 5\\n1 2\\n2 5\\n3 5\\n\",\n \"8 8\\n1 2 3 4 5 6 7 8\\n5 6\\n7 8\\n3 8\\n2 4\\n3 5\\n5 7\\n4 4\\n4 8\\n\",\n \"5 5\\n1 2 3 4 5\\n1 5\\n1 5\\n1 2\\n1 5\\n1 1\\n\",\n \"6 6\\n1 2 3 4 5 6\\n2 5\\n1 3\\n2 4\\n1 6\\n3 4\\n1 3\\n\",\n \"6 6\\n1 2 3 4 5 6\\n2 5\\n2 3\\n1 4\\n1 6\\n2 4\\n1 3\\n\",\n \"6 6\\n1 2 3 4 5 6\\n2 5\\n3 3\\n1 4\\n1 6\\n3 4\\n1 4\\n\",\n \"5 5\\n1 2 3 4 5\\n1 5\\n2 5\\n1 2\\n2 5\\n1 2\\n\",\n \"5 5\\n1 2 3 4 5\\n1 1\\n2 2\\n1 4\\n1 5\\n1 5\\n\",\n \"5 5\\n1 2 3 4 5\\n1 1\\n2 5\\n1 3\\n4 5\\n1 5\\n\",\n \"5 5\\n1 2 3 4 5\\n1 1\\n4 5\\n1 2\\n2 5\\n2 2\\n\",\n \"5 5\\n1 2 3 4 5\\n1 1\\n4 5\\n1 4\\n2 5\\n3 5\\n\",\n \"5 5\\n1 2 3 4 5\\n1 1\\n4 5\\n1 3\\n4 5\\n1 5\\n\",\n \"3 3\\n1 2 3\\n1 1\\n1 3\\n1 1\\n\",\n \"2 2\\n2 1\\n2 2\\n2 2\\n\"\n ],\n \"output\": [\n \"1\\n\",\n \"27\\n14\\n8\\n4\\n2\\n1\\n2\\n7\\n9\\n\",\n \"2\\n6\\n8\\n4\\n3\\n3\\n1\\n6\\n\",\n \"1\\n2\\n1\\n\",\n \"5\\n5\\n5\\n\",\n \"3\\n8\\n3\\n1\\n\",\n \"10\\n10\\n3\\n10\\n10\\n\",\n \"6\\n7\\n27\\n2\\n3\\n6\\n3\\n6\\n8\\n5\\n\",\n \"3\\n1\\n\",\n \"23\\n1\\n2\\n16\\n2\\n3\\n16\\n3\\n1\\n\",\n \"5\\n5\\n8\\n14\\n2\\n5\\n\",\n \"16\\n16\\n16\\n16\\n16\\n16\\n1\\n\",\n \"1\\n1\\n\",\n \"5\\n2\\n8\\n14\\n2\\n5\\n\",\n \"1\\n2\\n3\\n\",\n \"5\\n2\\n8\\n14\\n2\\n8\\n\",\n \"5\\n3\\n5\\n\",\n \"10\\n5\\n3\\n10\\n10\\n\",\n \"3\\n3\\n\",\n \"10\\n5\\n3\\n5\\n10\\n\",\n \"3\\n1\\n\",\n \"1\\n5\\n3\\n5\\n10\\n\",\n \"1\\n1\\n3\\n5\\n10\\n\",\n \"5\\n5\\n3\\n\",\n \"10\\n10\\n3\\n5\\n10\\n\",\n \"5\\n4\\n8\\n14\\n2\\n5\\n\",\n \"1\\n5\\n3\\n5\\n5\\n\",\n \"1\\n1\\n3\\n10\\n10\\n\",\n \"1\\n5\\n3\\n\",\n \"10\\n10\\n8\\n5\\n10\\n\",\n \"3\\n1\\n3\\n10\\n10\\n\",\n \"1\\n5\\n1\\n\",\n \"3\\n8\\n3\\n8\\n\",\n \"5\\n2\\n3\\n14\\n2\\n8\\n\",\n \"1\\n5\\n5\\n5\\n10\\n\",\n \"10\\n10\\n3\\n5\\n5\\n\",\n \"1\\n2\\n3\\n5\\n5\\n\",\n \"5\\n10\\n3\\n5\\n5\\n\",\n \"1\\n2\\n3\\n5\\n3\\n\",\n \"2\\n2\\n8\\n4\\n3\\n3\\n1\\n6\\n\",\n \"10\\n10\\n3\\n10\\n1\\n\",\n \"5\\n5\\n4\\n14\\n2\\n5\\n\",\n \"5\\n2\\n8\\n14\\n4\\n5\\n\",\n \"5\\n1\\n8\\n14\\n2\\n8\\n\",\n \"10\\n5\\n3\\n5\\n3\\n\",\n \"1\\n1\\n8\\n10\\n10\\n\",\n \"1\\n5\\n5\\n2\\n10\\n\",\n \"1\\n2\\n3\\n5\\n1\\n\",\n \"1\\n2\\n8\\n5\\n3\\n\",\n \"1\\n2\\n5\\n2\\n10\\n\",\n \"1\\n5\\n1\\n\",\n \"1\\n1\\n\"\n ]\n}"},"source":{"kind":"class label","value":"2","name":"CODEFORCES"}}},{"rowIdx":38250,"cells":{"id":{"kind":"string","value":"301_D. Yaroslav and Divisors_38250"},"description":{"kind":"string","value":"Yaroslav has an array p = p1, p2, ..., pn (1 ≤ pi ≤ n), consisting of n distinct integers. Also, he has m queries:\n\n * Query number i is represented as a pair of integers li, ri (1 ≤ li ≤ ri ≤ n). \n * The answer to the query li, ri is the number of pairs of integers q, w (li ≤ q, w ≤ ri) such that pq is the divisor of pw. \n\n\n\nHelp Yaroslav, answer all his queries.\n\nInput\n\nThe first line contains the integers n and m (1 ≤ n, m ≤ 2·105). The second line contains n distinct integers p1, p2, ..., pn (1 ≤ pi ≤ n). The following m lines contain Yaroslav's queries. The i-th line contains integers li, ri (1 ≤ li ≤ ri ≤ n).\n\nOutput\n\nPrint m integers — the answers to Yaroslav's queries in the order they appear in the input.\n\nPlease, do not use the %lld specifier to read or write 64-bit integers in C++. It is preferred to use the cin, cout streams or the %I64d specifier.\n\nExamples\n\nInput\n\n1 1\n1\n1 1\n\n\nOutput\n\n1\n\n\nInput\n\n10 9\n1 2 3 4 5 6 7 8 9 10\n1 10\n2 9\n3 8\n4 7\n5 6\n2 2\n9 10\n5 10\n4 10\n\n\nOutput\n\n27\n14\n8\n4\n2\n1\n2\n7\n9"},"code":{"kind":"string","value":"import static java.util.Arrays.*;\n\nimport java.util.*;\n\npublic class D {\n\n\tprivate final static boolean autoflush = false;\n\n\tpublic D () {\n\t\tint N = sc.nextInt(), M = sc.nextInt();\n\t\tInteger [] P = invert(dec(sc.nextInts()));\n\t\tint [][] Q = new int [M][];\n\t\tfor (int i = 0; i < M; ++i)\n\t\t\tQ[i] = new int [] { sc.nextInt(), sc.nextInt(), i };\n\n\t\t@SuppressWarnings(\"unchecked\")\n\t\tList [] D = new List [N];\n\t\tfor (int i = 2; i <= N; ++i) {\n\t\t\tint p = P[i-1];\n\t\t\tfor (int j = 2; j <= N/i; ++j) {\n\t\t\t\tint q = P[i*j - 1];\n\t\t\t\tint s = p < q ? p : q, t = p + q - s;\n\t\t\t\tif (D[t] == null)\n\t\t\t\t\tD[t] = new ArrayList();\n\t\t\t\tD[t].add(s);\n\t\t\t}\n\t\t}\n\n\t\tComparator cmp = new Comparator() {\n\t\t\tpublic int compare(int[] x, int[] y) {\n\t\t\t\treturn Integer.compare(x[1], y[1]);\n\t\t\t}\n\t\t};\n\n\t\tsort(Q, cmp);\n\t\tFenwick S = new Fenwick(N);\n\t\tlong [] res = new long [M];\n\n\t\tint q = 0, x = P[0];\n\t\tfor (int i = 0; i < M; ++i) {\n\t\t\tint L = Q[i][0], R = Q[i][1];\n\t\t\tfor (; q < R; ++q)\n\t\t\t\tif (D[q] != null)\n\t\t\t\t\tfor (int p : D[q])\n\t\t\t\t\t\tS.add(1, p);\n\t\t\tint j = Q[i][2];\n\t\t\tres[j] = (S.get(R) - S.get(L-1)) + (R - L + 1);\n\t\t\tif (x >= L-1 && x < R)\n\t\t\t\tres[j] += (R - L);\n\t\t}\n\n\t\tfor (long r : res)\n\t\t\tpw.println(r);\n\t}\n\n\tprivate static Integer [] dec(Integer [] A) {\n\t\tfor (int i = 0; i < A.length; ++i)\n\t\t\t--A[i];\n\t\treturn A;\n\t}\n\n\tprivate static class Fenwick {\n\t\tprivate final long [] X;\n\t\tpublic Fenwick(int N) {\n\t\t\tX = new long [N];\n\t\t}\n\t\tpublic void add(long x, int i) {\n\t\t\t++i; assert(i <= X.length);\n\t\t\twhile (i <= X.length) {\n\t\t\t\tX[i-1] += x;\n\t\t\t\ti += (i & (-i));\n\t\t\t}\n\t\t}\n\t\tpublic long get(int to) {\n\t\t\tassert(to <= X.length);\n\t\t\tlong res = 0;\n\t\t\tfor (; to > 0; res += X[to-1], to -= (to & (-to)));\n\t\t\treturn res;\n\t\t}\n\t}\n\n\tprivate static Integer [] invert(Integer [] J) {\n\t\tint N = J.length;\n\t\tInteger [] res = new Integer [N];\n\t\tfor (int i = 0; i < N; ++i)\n\t\t\tres[J[i]] = i;\n\t\treturn res;\n\t}\n\t////////////////////////////////////////////////////////////////////////////////////\n\tprivate final static MyScanner sc = new MyScanner();\n\tprivate static class MyScanner {\n\t\tpublic String next() { newLine(); return line[index++]; }\n\t\tpublic int nextInt() { return Integer.parseInt(next()); }\n\t\tpublic String nextLine() { line = null; return readLine(); }\n\t\tpublic String [] nextStrings() { return nextLine().split(\" \"); }\n\t\tpublic Integer [] nextInts() {\n\t\t\tString [] L = nextStrings();\n\t\t\tInteger [] res = new Integer [L.length];\n\t\t\tfor (int i = 0; i < L.length; ++i)\n\t\t\t\tres[i] = Integer.parseInt(L[i]);\n\t\t\treturn res;\n\t\t}\n\t\t//////////////////////////////////////////////\n\t\tprivate boolean eol() { return index == line.length; }\n\t\tprivate String readLine() {\n\t\t\ttry {\n\t\t\t\treturn r.readLine();\n\t\t\t} catch (Exception e) {\n\t\t\t\tthrow new Error (e);\n\t\t\t}\n\t\t}\n\t\tprivate final java.io.BufferedReader r;\n\t\tprivate MyScanner () { this(new java.io.BufferedReader(new java.io.InputStreamReader(System.in))); }\n\t\tprivate MyScanner (java.io.BufferedReader r) {\n\t\t\ttry {\n\t\t\t\tthis.r = r;\n\t\t\t\twhile (!r.ready())\n\t\t\t\t\tThread.sleep(1);\n\t\t\t\tstart();\n\t\t\t} catch (Exception e) {\n\t\t\t\tthrow new Error(e);\n\t\t\t}\n\t\t}\n\t\tprivate String [] line;\n\t\tprivate int index;\n\t\tprivate void newLine() {\n\t\t\tif (line == null || eol()) {\n\t\t\t\tline = readLine().split(\" \");\n\t\t\t\tindex = 0;\n\t\t\t}\n\t\t}\n\t}\n\tprivate static void exit() {\n\t\tpw.close();\n\t\tSystem.out.flush();\n\t\tSystem.err.println(\"------------------\");\n\t\tSystem.err.println(\"Time: \" + ((millis() - t) / 1000.0));\n\t\tSystem.exit(0);\n\t}\n\t////////////////////////////////////////////////////////////////////////////////////\n\tprivate static void start() { t = millis(); }\n\tprivate static java.io.PrintWriter pw = new java.io.PrintWriter(System.out, autoflush);\n\tprivate static long t;\n\tprivate static long millis() { return System.currentTimeMillis(); }\n\tpublic static void main (String[] args) { new D(); exit(); }\n}"},"language":{"kind":"class label","value":"4","name":"JAVA"},"test_samples":{"kind":"string","value":"{\n \"input\": [\n \"1 1\\n1\\n1 1\\n\",\n \"10 9\\n1 2 3 4 5 6 7 8 9 10\\n1 10\\n2 9\\n3 8\\n4 7\\n5 6\\n2 2\\n9 10\\n5 10\\n4 10\\n\",\n \"8 8\\n1 2 3 4 5 6 7 8\\n5 6\\n4 8\\n3 8\\n2 4\\n3 5\\n5 7\\n4 4\\n4 8\\n\",\n \"3 3\\n1 2 3\\n1 1\\n2 3\\n1 1\\n\",\n \"3 3\\n3 2 1\\n1 3\\n1 3\\n1 3\\n\",\n \"4 4\\n4 2 3 1\\n3 4\\n1 4\\n1 2\\n4 4\\n\",\n \"5 5\\n1 2 3 4 5\\n1 5\\n1 5\\n1 2\\n1 5\\n1 5\\n\",\n \"10 10\\n1 2 3 4 5 6 7 8 9 10\\n4 8\\n5 10\\n1 10\\n9 10\\n1 2\\n4 8\\n3 5\\n3 7\\n3 8\\n5 9\\n\",\n \"2 2\\n1 2\\n1 2\\n2 2\\n\",\n \"9 9\\n1 2 3 4 5 6 7 8 9\\n1 9\\n1 1\\n4 5\\n1 7\\n2 3\\n3 5\\n1 7\\n6 8\\n1 1\\n\",\n \"6 6\\n1 2 3 4 5 6\\n2 5\\n1 3\\n1 4\\n1 6\\n3 4\\n1 3\\n\",\n \"7 7\\n1 2 3 4 5 6 7\\n1 7\\n1 7\\n1 7\\n1 7\\n1 7\\n1 7\\n1 1\\n\",\n \"2 2\\n1 2\\n2 2\\n2 2\\n\",\n \"6 6\\n1 2 3 4 5 6\\n2 5\\n2 3\\n1 4\\n1 6\\n3 4\\n1 3\\n\",\n \"3 3\\n1 2 3\\n1 1\\n2 3\\n1 2\\n\",\n \"6 6\\n1 2 3 4 5 6\\n2 5\\n2 3\\n1 4\\n1 6\\n3 4\\n1 4\\n\",\n \"3 3\\n3 2 1\\n1 3\\n2 3\\n1 3\\n\",\n \"5 5\\n1 2 3 4 5\\n1 5\\n2 5\\n1 2\\n1 5\\n1 5\\n\",\n \"2 2\\n1 2\\n1 2\\n1 2\\n\",\n \"5 5\\n1 2 3 4 5\\n1 5\\n2 5\\n1 2\\n2 5\\n1 5\\n\",\n \"2 2\\n1 2\\n1 2\\n1 1\\n\",\n \"5 5\\n1 2 3 4 5\\n1 1\\n2 5\\n1 2\\n2 5\\n1 5\\n\",\n \"5 5\\n1 2 3 4 5\\n1 1\\n2 2\\n1 2\\n2 5\\n1 5\\n\",\n \"3 3\\n3 2 1\\n1 3\\n1 3\\n2 3\\n\",\n \"5 5\\n1 2 3 4 5\\n1 5\\n1 5\\n1 2\\n2 5\\n1 5\\n\",\n \"6 6\\n1 2 3 4 5 6\\n2 5\\n2 4\\n1 4\\n1 6\\n3 4\\n1 3\\n\",\n \"5 5\\n1 2 3 4 5\\n1 1\\n2 5\\n1 2\\n2 5\\n2 5\\n\",\n \"5 5\\n1 2 3 4 5\\n1 1\\n2 2\\n1 2\\n1 5\\n1 5\\n\",\n \"3 3\\n3 2 1\\n1 1\\n1 3\\n2 3\\n\",\n \"5 5\\n1 2 3 4 5\\n1 5\\n1 5\\n1 4\\n2 5\\n1 5\\n\",\n \"5 5\\n1 2 3 4 5\\n1 2\\n2 2\\n1 2\\n1 5\\n1 5\\n\",\n \"3 3\\n3 2 1\\n1 1\\n1 3\\n2 2\\n\",\n \"4 4\\n4 2 3 1\\n3 4\\n1 4\\n1 2\\n1 4\\n\",\n \"6 6\\n1 2 3 4 5 6\\n2 5\\n2 3\\n1 2\\n1 6\\n3 4\\n1 4\\n\",\n \"5 5\\n1 2 3 4 5\\n1 1\\n2 5\\n1 3\\n2 5\\n1 5\\n\",\n \"5 5\\n1 2 3 4 5\\n1 5\\n1 5\\n1 2\\n2 5\\n1 3\\n\",\n \"5 5\\n1 2 3 4 5\\n1 1\\n4 5\\n1 2\\n2 5\\n2 5\\n\",\n \"5 5\\n1 2 3 4 5\\n2 5\\n1 5\\n1 2\\n2 5\\n1 3\\n\",\n \"5 5\\n1 2 3 4 5\\n1 1\\n4 5\\n1 2\\n2 5\\n3 5\\n\",\n \"8 8\\n1 2 3 4 5 6 7 8\\n5 6\\n7 8\\n3 8\\n2 4\\n3 5\\n5 7\\n4 4\\n4 8\\n\",\n \"5 5\\n1 2 3 4 5\\n1 5\\n1 5\\n1 2\\n1 5\\n1 1\\n\",\n \"6 6\\n1 2 3 4 5 6\\n2 5\\n1 3\\n2 4\\n1 6\\n3 4\\n1 3\\n\",\n \"6 6\\n1 2 3 4 5 6\\n2 5\\n2 3\\n1 4\\n1 6\\n2 4\\n1 3\\n\",\n \"6 6\\n1 2 3 4 5 6\\n2 5\\n3 3\\n1 4\\n1 6\\n3 4\\n1 4\\n\",\n \"5 5\\n1 2 3 4 5\\n1 5\\n2 5\\n1 2\\n2 5\\n1 2\\n\",\n \"5 5\\n1 2 3 4 5\\n1 1\\n2 2\\n1 4\\n1 5\\n1 5\\n\",\n \"5 5\\n1 2 3 4 5\\n1 1\\n2 5\\n1 3\\n4 5\\n1 5\\n\",\n \"5 5\\n1 2 3 4 5\\n1 1\\n4 5\\n1 2\\n2 5\\n2 2\\n\",\n \"5 5\\n1 2 3 4 5\\n1 1\\n4 5\\n1 4\\n2 5\\n3 5\\n\",\n \"5 5\\n1 2 3 4 5\\n1 1\\n4 5\\n1 3\\n4 5\\n1 5\\n\",\n \"3 3\\n1 2 3\\n1 1\\n1 3\\n1 1\\n\",\n \"2 2\\n2 1\\n2 2\\n2 2\\n\"\n ],\n \"output\": [\n \"1\\n\",\n \"27\\n14\\n8\\n4\\n2\\n1\\n2\\n7\\n9\\n\",\n \"2\\n6\\n8\\n4\\n3\\n3\\n1\\n6\\n\",\n \"1\\n2\\n1\\n\",\n \"5\\n5\\n5\\n\",\n \"3\\n8\\n3\\n1\\n\",\n \"10\\n10\\n3\\n10\\n10\\n\",\n \"6\\n7\\n27\\n2\\n3\\n6\\n3\\n6\\n8\\n5\\n\",\n \"3\\n1\\n\",\n \"23\\n1\\n2\\n16\\n2\\n3\\n16\\n3\\n1\\n\",\n \"5\\n5\\n8\\n14\\n2\\n5\\n\",\n \"16\\n16\\n16\\n16\\n16\\n16\\n1\\n\",\n \"1\\n1\\n\",\n \"5\\n2\\n8\\n14\\n2\\n5\\n\",\n \"1\\n2\\n3\\n\",\n \"5\\n2\\n8\\n14\\n2\\n8\\n\",\n \"5\\n3\\n5\\n\",\n \"10\\n5\\n3\\n10\\n10\\n\",\n \"3\\n3\\n\",\n \"10\\n5\\n3\\n5\\n10\\n\",\n \"3\\n1\\n\",\n \"1\\n5\\n3\\n5\\n10\\n\",\n \"1\\n1\\n3\\n5\\n10\\n\",\n \"5\\n5\\n3\\n\",\n \"10\\n10\\n3\\n5\\n10\\n\",\n \"5\\n4\\n8\\n14\\n2\\n5\\n\",\n \"1\\n5\\n3\\n5\\n5\\n\",\n \"1\\n1\\n3\\n10\\n10\\n\",\n \"1\\n5\\n3\\n\",\n \"10\\n10\\n8\\n5\\n10\\n\",\n \"3\\n1\\n3\\n10\\n10\\n\",\n \"1\\n5\\n1\\n\",\n \"3\\n8\\n3\\n8\\n\",\n \"5\\n2\\n3\\n14\\n2\\n8\\n\",\n \"1\\n5\\n5\\n5\\n10\\n\",\n \"10\\n10\\n3\\n5\\n5\\n\",\n \"1\\n2\\n3\\n5\\n5\\n\",\n \"5\\n10\\n3\\n5\\n5\\n\",\n \"1\\n2\\n3\\n5\\n3\\n\",\n \"2\\n2\\n8\\n4\\n3\\n3\\n1\\n6\\n\",\n \"10\\n10\\n3\\n10\\n1\\n\",\n \"5\\n5\\n4\\n14\\n2\\n5\\n\",\n \"5\\n2\\n8\\n14\\n4\\n5\\n\",\n \"5\\n1\\n8\\n14\\n2\\n8\\n\",\n \"10\\n5\\n3\\n5\\n3\\n\",\n \"1\\n1\\n8\\n10\\n10\\n\",\n \"1\\n5\\n5\\n2\\n10\\n\",\n \"1\\n2\\n3\\n5\\n1\\n\",\n \"1\\n2\\n8\\n5\\n3\\n\",\n \"1\\n2\\n5\\n2\\n10\\n\",\n \"1\\n5\\n1\\n\",\n \"1\\n1\\n\"\n ]\n}"},"source":{"kind":"class label","value":"2","name":"CODEFORCES"}}},{"rowIdx":38251,"cells":{"id":{"kind":"string","value":"328_B. Sheldon and Ice Pieces_38251"},"description":{"kind":"string","value":"Do you remember how Kai constructed the word \"eternity\" using pieces of ice as components?\n\nLittle Sheldon plays with pieces of ice, each piece has exactly one digit between 0 and 9. He wants to construct his favourite number t. He realized that digits 6 and 9 are very similar, so he can rotate piece of ice with 6 to use as 9 (and vice versa). Similary, 2 and 5 work the same. There is no other pair of digits with similar effect. He called this effect \"Digital Mimicry\".\n\nSheldon favourite number is t. He wants to have as many instances of t as possible. How many instances he can construct using the given sequence of ice pieces. He can use any piece at most once. \n\nInput\n\nThe first line contains integer t (1 ≤ t ≤ 10000). The second line contains the sequence of digits on the pieces. The length of line is equal to the number of pieces and between 1 and 200, inclusive. It contains digits between 0 and 9.\n\nOutput\n\nPrint the required number of instances.\n\nExamples\n\nInput\n\n42\n23454\n\n\nOutput\n\n2\n\n\nInput\n\n169\n12118999\n\n\nOutput\n\n1\n\nNote\n\nThis problem contains very weak pretests."},"code":{"kind":"string","value":"t, s = [raw_input().replace('6', '9').replace('2', '5') for i in range(2)]\nprint min([s.count(i)/t.count(i) for i in t])"},"language":{"kind":"class label","value":"1","name":"Python2"},"test_samples":{"kind":"string","value":"{\n \"input\": [\n \"42\\n23454\\n\",\n \"169\\n12118999\\n\",\n \"5518\\n9827108589585181118358352282425981568508825302611217254345831149357236227288533838583629451589201341265988858338548185158221291825821019993179835186961954871454\\n\",\n \"533\\n355233333332\\n\",\n \"9\\n666969\\n\",\n \"2559\\n5252555622565626\\n\",\n \"2569\\n9592525295556669222269569596622566529699\\n\",\n \"11\\n1\\n\",\n 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Sheldon and Ice Pieces_38252"},"description":{"kind":"string","value":"Do you remember how Kai constructed the word \"eternity\" using pieces of ice as components?\n\nLittle Sheldon plays with pieces of ice, each piece has exactly one digit between 0 and 9. He wants to construct his favourite number t. He realized that digits 6 and 9 are very similar, so he can rotate piece of ice with 6 to use as 9 (and vice versa). Similary, 2 and 5 work the same. There is no other pair of digits with similar effect. He called this effect \"Digital Mimicry\".\n\nSheldon favourite number is t. He wants to have as many instances of t as possible. How many instances he can construct using the given sequence of ice pieces. He can use any piece at most once. \n\nInput\n\nThe first line contains integer t (1 ≤ t ≤ 10000). The second line contains the sequence of digits on the pieces. The length of line is equal to the number of pieces and between 1 and 200, inclusive. It contains digits between 0 and 9.\n\nOutput\n\nPrint the required number of instances.\n\nExamples\n\nInput\n\n42\n23454\n\n\nOutput\n\n2\n\n\nInput\n\n169\n12118999\n\n\nOutput\n\n1\n\nNote\n\nThis problem contains very weak pretests."},"code":{"kind":"string","value":"#include \nusing namespace std;\nint main() {\n int n, k;\n cin >> n;\n k = n;\n int a[10] = {0};\n int b[10] = {0};\n while (k) {\n a[k % 10]++;\n k = k / 10;\n }\n string s;\n cin >> s;\n for (int i = 0; i < s.size(); ++i) {\n b[(s[i] - '0') % 10]++;\n }\n int count, ans = 99999999;\n for (int i = 0; i < 10; ++i) {\n if (a[i] != 0) {\n if (i == 2 || i == 5)\n count = (b[2] + b[5]) / (a[2] + a[5]);\n else if (i == 6 || i == 9)\n count = (b[6] + b[9]) / (a[6] + a[9]);\n else\n count = b[i] / a[i];\n ans = min(ans, count);\n }\n }\n cout << ans << '\\n';\n return 0;\n}\n"},"language":{"kind":"class label","value":"2","name":"C++"},"test_samples":{"kind":"string","value":"{\n \"input\": [\n \"42\\n23454\\n\",\n 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Sheldon and Ice Pieces_38253"},"description":{"kind":"string","value":"Do you remember how Kai constructed the word \"eternity\" using pieces of ice as components?\n\nLittle Sheldon plays with pieces of ice, each piece has exactly one digit between 0 and 9. He wants to construct his favourite number t. He realized that digits 6 and 9 are very similar, so he can rotate piece of ice with 6 to use as 9 (and vice versa). Similary, 2 and 5 work the same. There is no other pair of digits with similar effect. He called this effect \"Digital Mimicry\".\n\nSheldon favourite number is t. He wants to have as many instances of t as possible. How many instances he can construct using the given sequence of ice pieces. He can use any piece at most once. \n\nInput\n\nThe first line contains integer t (1 ≤ t ≤ 10000). The second line contains the sequence of digits on the pieces. The length of line is equal to the number of pieces and between 1 and 200, inclusive. It contains digits between 0 and 9.\n\nOutput\n\nPrint the required number of instances.\n\nExamples\n\nInput\n\n42\n23454\n\n\nOutput\n\n2\n\n\nInput\n\n169\n12118999\n\n\nOutput\n\n1\n\nNote\n\nThis problem contains very weak pretests."},"code":{"kind":"string","value":"def c(a, b):\n\ta = a.replace('6', '9')\n\ta = a.replace('2', '5')\n\tb = b.replace('6', '9')\n\tb = b.replace('2', '5')\n\tn = 10000\n\tfor i in '01345789':\n\t\tt = a.count(i)\n\t\tif t != 0:\n\t\t\tn = min(n, b.count(i)//t)\n\treturn n\na = input()\nb = input()\nprint(c(a, b))"},"language":{"kind":"class label","value":"3","name":"Python3"},"test_samples":{"kind":"string","value":"{\n \"input\": [\n \"42\\n23454\\n\",\n \"169\\n12118999\\n\",\n \"5518\\n9827108589585181118358352282425981568508825302611217254345831149357236227288533838583629451589201341265988858338548185158221291825821019993179835186961954871454\\n\",\n \"533\\n355233333332\\n\",\n \"9\\n666969\\n\",\n \"2559\\n5252555622565626\\n\",\n 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Sheldon and Ice Pieces_38254"},"description":{"kind":"string","value":"Do you remember how Kai constructed the word \"eternity\" using pieces of ice as components?\n\nLittle Sheldon plays with pieces of ice, each piece has exactly one digit between 0 and 9. He wants to construct his favourite number t. He realized that digits 6 and 9 are very similar, so he can rotate piece of ice with 6 to use as 9 (and vice versa). Similary, 2 and 5 work the same. There is no other pair of digits with similar effect. He called this effect \"Digital Mimicry\".\n\nSheldon favourite number is t. He wants to have as many instances of t as possible. How many instances he can construct using the given sequence of ice pieces. He can use any piece at most once. \n\nInput\n\nThe first line contains integer t (1 ≤ t ≤ 10000). The second line contains the sequence of digits on the pieces. The length of line is equal to the number of pieces and between 1 and 200, inclusive. It contains digits between 0 and 9.\n\nOutput\n\nPrint the required number of instances.\n\nExamples\n\nInput\n\n42\n23454\n\n\nOutput\n\n2\n\n\nInput\n\n169\n12118999\n\n\nOutput\n\n1\n\nNote\n\nThis problem contains very weak pretests."},"code":{"kind":"string","value":"import java.util.Scanner;\npublic class IcePEace {\n\n\tpublic static int searchstring(String s,String S){\n\t\tif (s.length()>S.length())\n\t\t\treturn -1;\n\t\tfor(int i=0;i<=(S.length()-s.length());i++){\n\t\t\tif (s.equals(S.substring(i,i+s.length())))\n\t\t\t\treturn i;\n\t\t}\n\t\treturn -1;\n\t}\n\tpublic static String removestring(String s, int i){\n\t\tif (i == (s.length()-1)){\n\t\t\ts=s.substring(0, i);\n\t\t\treturn s;\n\t\t}\n\t\tif (i==0){\n\t\t\ts=s.substring(1,s.length());\n\t\t\treturn s;\n\t\t}\n\t\tif (i>=s.length()){\n\t\t\treturn s;\n\t\t}\n\t\ts=s.substring(0,i)+s.substring(i+1, s.length());\n\t\treturn s;\n\t}\n\n\tpublic static void main(String[] args){\n\t\t\n\t\t\n\t\tScanner sc = new Scanner(System.in);\n\t\tString t = sc.nextLine();\n\t\tString ice = sc.nextLine();\n\t\tint Boole = 0;\t\t\t\n\t\tint possibilities = 0;\n\t\tint i = 0;\n\t\tint j = 0;\n\t\tString na = \"\";\n\t\twhile (ice.length()>0){\n\t\t\t//System.out.println(\"start of outer loop\");\n\t\t\tif (ice.length()-1)&&(j0)){\n\t\t\t\t//System.out.println(\"Start of inner loop\");\n\t\t\t\tna = t.substring(j,j+1);\n\t\t\t\t\n\t\t\t\tif ((na.equals(\"2\")) || (na.equals(\"5\"))){\n\t\t\t\t\tBoole = searchstring(\"2\",ice);\n\t\t\t\t\t//System.out.println(\"searching for 2\");\n\t\t\t\t\tif (Boole == -1){\n\t\t\t\t\t\t//System.out.println(\"searching for 5\");\n\t\t\t\t\t\tBoole = searchstring(\"5\",ice);\n\t\t\t\t\t}\n\t\t\t\t\tif (Boole != -1){\n\t\t\t\t\t\tice=removestring(ice,Boole);\n\t\t\t\t\t}\n\t\t\t\t}\n\t\t\t\telse if (na.equals(\"6\")||na.equals(\"9\")){\n\t\t\t\t\t\tBoole = searchstring(\"6\",ice);\n\t\t\t\t\t\tif (Boole == -1){\n\t\t\t\t\t\t\tBoole = searchstring(\"9\",ice);\n\t\t\t\t\t\t}\n\t\t\t\t\t\tif (Boole != -1){\n\t\t\t\t\t\t\tice=removestring(ice,Boole);\n\t\t\t\t\t\t}\n\t\t\t\t\t}\n\t\t\t\t\telse {\n\t\t\t\t\t\t//System.out.println(\"search the char\");\n\t\t\t\t\t\tBoole = searchstring(na,ice);\n\t\t\t\t\t\tif (Boole != -1){\t\t\n\t\t\t\t\t\t\t//System.out.println(ice + \" before edit\");\n\t\t\t\t\t\t\tice=removestring(ice,Boole);\n\t\t\t\t\t\t\t//System.out.println( ice+ \" after edit\");\n\t\t\t\t\t}\n\t\t\t\t\t}\n\t\t\t\t++j;\n\t\t\t\t\n\t\t}\n\t\t\t\n\t\t\tif (Boole != -1){\n\t\t\t\t++possibilities;\n\t\t\t}\n\t\t\telse\n\t\t\t\tbreak;\n\t\t\t//System.out.println(\"end of outer loop , ice = \" + ice);\n\t\t\t\n\t\t\n\t}\n\t\tSystem.out.println(possibilities);\n}\n}"},"language":{"kind":"class label","value":"4","name":"JAVA"},"test_samples":{"kind":"string","value":"{\n \"input\": [\n \"42\\n23454\\n\",\n \"169\\n12118999\\n\",\n 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\"2591\\n201846284115134330742335888783907885353814777508\\n\",\n \"2569\\n8120683179672563401528366258473652935664\\n\",\n \"9697\\n665944826673784175923222754867545275212350997889924256667703391060493977725164943553891539933644078310874816186071369786112779869600881851751832768144900\\n\",\n \"2559\\n31508987523936867798413132700552802675051155133800499597415232268298217113360759698738604155174800719638747756848961331125698996603065378573778868126454676249283218675391306859758622997550194097995283\\n\",\n \"555\\n563460514965477\\n\",\n \"100\\n18373776256712967920744434880633665580054812643356496072936047524778113821777954843770928711160520592166826127157380437624750789317571533746226884877110863202696307606297122117987160760320355152847338\\n\",\n \"2569\\n56177594686745803266824815523416346622\\n\",\n \"99\\n1608914419940428454\\n\",\n \"266\\n1930754734632739640\\n\",\n \"2569\\n809047830812802542955131155921739844972251035577351768741391193362372478191570154055382370950340575677026880340898662798612982136706507057869876228698414279877649208408649612748808330118032289942807\\n\",\n \"2591\\n39736573870923756503382373513965484779223640000\\n\",\n \"2569\\n10116663615622734590429000235327649978477\\n\",\n \"2559\\n19929582732058876275953866789324547518680119116717678839185404102942186643708721832184166538045491601352731000758412727290435513754575481501414983891280874381032094412160911411860412611204713430529201\\n\",\n \"555\\n125610656001956\\n\",\n \"100\\n26367732229739425460445971632773112729408718006768586492049547578606069214049029836638885313215959887013035165910417558175235721471159274899102631400305219834204687998386050390592489726568787483647097\\n\"\n ],\n \"output\": [\n \"2\\n\",\n \"1\\n\",\n \"23\\n\",\n \"4\\n\",\n \"6\\n\",\n \"4\\n\",\n \"10\\n\",\n \"0\\n\",\n \"34\\n\",\n \"48\\n\",\n \"1\\n\",\n \"5\\n\",\n \"4\\n\",\n \"1\\n\",\n \"63\\n\",\n \"62\\n\",\n \"3\\n\",\n \"2\\n\",\n \"3\\n\",\n \"10\\n\",\n \"7\\n\",\n \"1\\n\",\n \"2\\n\",\n \"1\\n\",\n \"10\\n\",\n \"7\\n\",\n \"5\\n\",\n \"66\\n\",\n \"199\\n\",\n \"4\\n\",\n \"66\\n\",\n \"7\\n\",\n \"9\\n\",\n \"6\\n\",\n \"44\\n\",\n \"10\\n\",\n \"1\\n\",\n \"3\\n\",\n \"10\\n\",\n \"11\\n\",\n \"26\\n\",\n \"2\\n\",\n \"17\\n\",\n \"38\\n\",\n \"20\\n\",\n \"4\\n\",\n \"5\\n\",\n \"9\\n\",\n \"14\\n\",\n \"7\\n\",\n \"13\\n\",\n \"30\\n\",\n \"16\\n\",\n \"12\\n\",\n \"46\\n\",\n \"21\\n\",\n \"23\\n\",\n \"15\\n\",\n \"41\\n\",\n \"18\\n\",\n \"8\\n\",\n \"22\\n\",\n \"1\\n\",\n \"1\\n\",\n \"1\\n\",\n \"11\\n\",\n \"1\\n\",\n \"1\\n\",\n \"1\\n\",\n \"1\\n\",\n \"2\\n\",\n \"17\\n\",\n \"3\\n\",\n \"1\\n\",\n \"20\\n\",\n \"1\\n\",\n \"3\\n\",\n \"1\\n\",\n \"2\\n\",\n \"2\\n\",\n \"20\\n\",\n \"3\\n\",\n \"3\\n\",\n \"9\\n\",\n \"1\\n\",\n \"7\\n\",\n \"20\\n\",\n \"4\\n\",\n \"16\\n\",\n \"2\\n\",\n \"2\\n\",\n \"20\\n\",\n \"2\\n\",\n \"5\\n\",\n \"11\\n\",\n \"13\\n\",\n \"1\\n\",\n \"9\\n\",\n \"4\\n\",\n \"2\\n\",\n \"2\\n\",\n \"17\\n\",\n \"1\\n\",\n \"4\\n\",\n \"12\\n\",\n \"1\\n\",\n \"10\\n\"\n ]\n}"},"source":{"kind":"class label","value":"2","name":"CODEFORCES"}}},{"rowIdx":38255,"cells":{"id":{"kind":"string","value":"34_C. Page Numbers_38255"},"description":{"kind":"string","value":"«Bersoft» company is working on a new version of its most popular text editor — Bord 2010. Bord, like many other text editors, should be able to print out multipage documents. A user keys a sequence of the document page numbers that he wants to print out (separates them with a comma, without spaces).\n\nYour task is to write a part of the program, responsible for «standardization» of this sequence. Your program gets the sequence, keyed by the user, as input. The program should output this sequence in format l1-r1,l2-r2,...,lk-rk, where ri + 1 < li + 1 for all i from 1 to k - 1, and li ≤ ri. The new sequence should contain all the page numbers, keyed by the user, and nothing else. If some page number appears in the input sequence several times, its appearances, starting from the second one, should be ignored. If for some element i from the new sequence li = ri, this element should be output as li, and not as «li - li».\n\nFor example, sequence 1,2,3,1,1,2,6,6,2 should be output as 1-3,6.\n\nInput\n\nThe only line contains the sequence, keyed by the user. The sequence contains at least one and at most 100 positive integer numbers. It's guaranteed, that this sequence consists of positive integer numbers, not exceeding 1000, separated with a comma, doesn't contain any other characters, apart from digits and commas, can't end with a comma, and the numbers don't contain leading zeroes. Also it doesn't start with a comma or contain more than one comma in a row.\n\nOutput\n\nOutput the sequence in the required format.\n\nExamples\n\nInput\n\n1,2,3,1,1,2,6,6,2\n\n\nOutput\n\n1-3,6\n\n\nInput\n\n3,2,1\n\n\nOutput\n\n1-3\n\n\nInput\n\n30,20,10\n\n\nOutput\n\n10,20,30"},"code":{"kind":"string","value":"a=sorted(set(map(int,raw_input().split(','))))\nb=[[-2,-2]]\nfor i in range(len(a)):\n if a[i]==b[-1][1]+1:\n b[-1][1]=a[i]\n else:\n b.append([a[i],a[i]])\nprint ','.join(map(lambda x:str(x[0]) if x[0]==x[1] else str(x[0])+'-'+str(x[1]),b[1:]))"},"language":{"kind":"class label","value":"1","name":"Python2"},"test_samples":{"kind":"string","value":"{\n \"input\": [\n \"30,20,10\\n\",\n \"3,2,1\\n\",\n \"1,2,3,1,1,2,6,6,2\\n\",\n \"511,32\\n\",\n \"684,698,429,694,956,812,594,170,937,764\\n\",\n \"744,359,230,586,944,442\\n\",\n \"37\\n\",\n \"996,999,998,984,989,1000,996,993,1000,983,992,999,999,1000,979,992,987,1000,996,1000,1000,989,981,996,995,999,999,989,999,1000\\n\",\n \"1000\\n\",\n \"2\\n\",\n \"93,27,28,4,5,78,59,24,19,134,31,128,118,36,90,32,32,1,44,32,33,13,31,10,12,25,38,50,25,12,4,22,28,53,48,83,4,25,57,31,71,24,8,7,28,86,23,80,101,58\\n\",\n \"646,840,437,946,640,564,936,917,487,752,844,734,468,969,674,646,728,642,514,695\\n\",\n \"4,24,6,1,15\\n\",\n \"303,872,764,401\\n\",\n \"48,108,63,21,27,8,49,21,75,8,24,42,149,18,8,28,21,18,25,35,59,70,59,33,40,1,67,34,120,82,4,115,72,87,3,15,15,63,37,12,40,27,83,14,38,20,14,58,93,10,31,3,39,6,197,77,54,16,31,146,9,49,14,8,77,82,5,11,80,116,8,61,50,24,7,103,29,11,3,3,1,12,46,24,21,131,39,29,36,2,107,40,16,99,31,41,29,48,17,17\\n\",\n \"31,75,86,68,111,27,22,22,26,30,54,163,107,75,160,122,14,23,17,26,27,20,43,58,59,71,21,148,9,32,43,91,133,286,132,70,90,156,84,14,77,93,23,18,13,72,18,131,33,28,72,175,30,86,249,20,14,208,28,57,63,199,6,10,24,30,62,267,43,479,60,28,138,1,45,3,19,47,7,166,116,117,50,140,28,14,95,85,93,43,61,15,2,70,10,51,7,95,9,25\\n\",\n \"1000,1000,1000,1000,1000,998,998,1000,1000,1000,1000,999,999,1000,1000,1000,999,1000,997,999,997,1000,999,998,1000,999,1000,1000,1000,999,1000,999,999,1000,1000,999,1000,999,1000,1000,998,1000,1000,1000,998,998,1000,1000,999,1000,1000,1000,1000,1000,1000,1000,998,1000,1000,1000,999,1000,1000,999,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,998,1000,1000,1000,998,1000,1000,998,1000,999,1000,1000,1000,1000\\n\",\n \"896,898,967,979,973,709,961,968,806,967,896,967,826,975,936,903,986,856,851,931,852,971,786,837,949,978,686,936,952,909,965,749,908,916,943,973,983,975,939,886,964,928,960,976,907,788,994,773,949,871,947,980,945,985,726,981,887,943,907,990,931,874,840,867,948,951,961,904,888,901,976,967,994,921,828,970,972,722,755,970,860,855,914,869,714,899,969,978,898,862,642,939,904,936,819,934,884,983,955,964\\n\",\n \"826,747,849,687,437\\n\",\n \"907,452,355\\n\",\n \"999\\n\",\n \"4,4,21,6,5,3,13,2,6,1,3,4,1,3,1,9,11,1,6,17,4,5,20,4,1,9,5,11,3,4,14,1,3,3,1,4,3,5,27,1,1,2,10,7,11,4,19,7,11,6,11,13,3,1,10,7,2,1,16,1,9,4,29,13,2,12,14,2,21,1,9,8,26,12,12,5,2,14,7,8,8,8,9,4,12,2,6,6,7,16,8,14,2,10,20,15,3,7,4\\n\",\n \"994,927,872,970,815,986,952,996,965,1000,877,986,978,999,950,990,936,997,993,960,921,860,895,869,943,998,983,968,973,953,999,990,995,871,853,979,973,963,953,938,997,989,993,964,960,973,946,975,1000,962,920,746,989,957,904,965,920,979,966,961,1000,993,975,952,846,971,991,979,985,969,984,973,956,1000,952,778,983,974,956,927,995,997,980,997,1000,970,960,970,988,983,947,904,935,972,1000,863,992,996,932,967\\n\",\n \"713,572,318,890,577,657,646,146,373,783,392,229,455,871,20,593,573,336,26,381,280,916,907,732,820,713,111,840,570,446,184,711,481,399,788,647,492,15,40,530,549,506,719,782,126,20,778,996,712,761,9,74,812,418,488,175,103,585,900,3,604,521,109,513,145,708,990,361,682,827,791,22,596,780,596,385,450,643,158,496,876,975,319,783,654,895,891,361,397,81,682,899,347,623,809,557,435,279,513,438\\n\",\n \"999,999,993,969,999\\n\",\n \"1\\n\",\n \"411,32\\n\",\n \"684,699,429,694,956,812,594,170,937,764\\n\",\n \"244,449,685,032,953,447\\n\",\n \"19\\n\",\n \"0001,999,989,999,999,599,699,189,989,0001,0001,699,0001,789,299,979,0001,999,999,299,389,0001,399,699,0001,989,489,899,999,699\\n\",\n \"3\\n\",\n \"596,415,246,827,646,476,969,864,437,448,257,784,719,639,465,046,649,734,048,646\\n\",\n \"3,24,6,1,15\\n\",\n \"31,75,86,78,111,27,22,22,26,30,54,163,107,75,160,122,14,23,17,26,27,20,43,58,59,71,21,148,9,32,43,91,133,286,132,70,90,156,84,14,77,93,23,18,13,72,18,131,33,28,72,175,30,86,249,20,14,208,28,57,63,199,6,10,24,30,62,267,43,479,60,28,138,1,45,3,19,47,7,166,116,117,50,140,28,14,95,85,93,43,61,15,2,70,10,51,7,95,9,25\\n\",\n \"734,786,948,747,628\\n\",\n \"907,352,355\\n\",\n \"550\\n\",\n \"4,4,21,6,5,3,13,2,6,1,3,4,1,3,1,9,11,1,6,17,4,5,20,4,1,9,6,11,3,4,14,1,3,3,1,4,3,5,27,1,1,2,10,7,11,4,19,7,11,6,11,13,3,1,10,7,2,1,16,1,9,4,29,13,2,12,14,2,21,1,9,8,26,12,12,5,2,14,7,8,8,8,9,4,12,2,6,6,7,16,8,14,2,10,20,15,3,7,4\\n\",\n \"713,572,318,890,577,657,646,146,373,783,392,229,455,871,20,593,573,336,26,381,280,916,907,732,820,713,111,840,570,446,184,711,481,399,788,647,492,15,40,530,549,506,719,782,126,20,778,996,712,761,9,74,812,418,488,175,103,585,900,3,604,521,509,513,145,708,990,361,682,827,791,22,596,780,596,385,450,643,118,496,876,975,319,783,654,895,891,361,397,81,682,899,347,623,809,557,435,279,513,438\\n\",\n \"999,999,983,969,999\\n\",\n \"30,10,10\\n\",\n \"114,32\\n\",\n \"684,699,429,694,956,811,594,170,937,764\\n\",\n \"244,449,685,032,953,457\\n\",\n \"30\\n\",\n \"0001,999,989,999,999,599,699,189,989,0001,0001,699,0001,789,299,979,0001,999,999,299,489,0001,399,699,0001,989,489,899,999,699\\n\",\n \"566,415,246,827,646,476,969,864,437,448,257,784,719,939,465,046,649,734,048,646\\n\",\n \"3,24,6,1,16\\n\",\n \"553,253,709\\n\",\n \"730\\n\",\n \"01,01,03\\n\",\n \"114,42\\n\",\n \"684,699,429,694,856,911,594,170,937,764\\n\",\n \"43\\n\",\n \"0001,999,989,999,999,599,699,189,989,0001,0101,699,0001,789,299,979,0001,999,999,299,489,0001,399,699,0001,989,489,899,999,699\\n\",\n \"566,415,246,824,646,476,969,864,437,448,257,784,719,939,465,046,649,737,048,646\\n\",\n \"553,253,609\\n\",\n \"01,01,13\\n\",\n \"684,699,429,694,856,911,594,170,837,764\\n\",\n \"78\\n\",\n \"0001,999,989,999,999,699,699,189,989,0001,0101,699,0001,789,299,979,0001,999,999,299,489,0001,399,699,0001,989,489,899,999,699\\n\",\n \"646,840,737,946,640,564,939,917,487,752,844,734,468,969,674,646,428,642,514,665\\n\",\n \"553,252,609\\n\",\n \"467,738,071,495,119,658,496,924,996,486\\n\",\n \"85\\n\",\n \"646,840,737,946,640,564,939,817,487,752,844,734,468,969,674,646,428,642,514,665\\n\",\n \"555,232,609\\n\",\n \"467,738,671,495,119,658,490,924,996,486\\n\",\n \"99\\n\",\n \"545,232,609\\n\",\n \"467,738,672,495,119,658,490,924,996,486\\n\",\n \"61\\n\",\n \"906,232,545\\n\",\n \"684,699,429,094,856,911,594,276,837,764\\n\",\n \"93\\n\",\n \"906,132,545\\n\",\n \"49\\n\",\n \"545,231,609\\n\",\n \"97\\n\",\n \"546,231,609\\n\",\n \"511,31\\n\",\n \"684,698,429,694,956,812,594,160,937,764\\n\",\n \"744,359,234,586,940,442\\n\",\n \"69\\n\",\n \"646,840,437,946,640,564,936,917,587,752,844,734,468,969,674,646,728,642,514,695\\n\",\n \"0001,0001,0001,0001,999,0001,899,0001,0001,899,0001,0001,0001,899,0001,0001,0001,0001,0001,0001,0001,0001,0001,0001,999,0001,0001,999,0001,0001,0001,899,0001,0001,0001,0001,0001,0001,0001,999,0001,0001,899,899,0001,0001,0001,899,0001,0001,999,0001,999,0001,0001,999,999,0001,999,0001,0001,0001,999,0001,899,999,0001,799,999,799,0001,999,0001,0001,0001,999,999,0001,0001,0001,0001,899,899,0001,0001,0001,0001,0001\\n\",\n \"469,559,389,488,439,918,639,409,939,246,268,898,879,969,998,417,968,419,558,068,079,557,227,279,079,828,129,499,769,679,109,888,409,169,159,849,768,048,478,139,099,709,349,788,189,627,589,549,089,749,178,949,377,499,887,709,679,069,829,469,688,939,579,389,379,349,619,809,947,569,909,259,639,686,879,949,738,687,179,258,139,158,658,689,309,639,579,628,769,698,769,608,869,169,907,379,979,769,898,698\\n\",\n \"907,453,355\\n\",\n \"994,927,872,970,815,986,952,996,965,1000,877,986,978,999,950,990,936,997,993,960,920,860,895,869,943,998,983,968,973,953,999,990,995,871,853,979,973,963,953,938,997,989,993,964,960,973,946,975,1000,962,920,746,989,957,904,965,920,979,966,961,1000,993,975,952,846,971,991,979,985,969,984,973,956,1000,952,778,983,974,956,927,995,997,980,997,1000,970,960,970,988,983,947,904,935,972,1000,863,992,996,932,967\\n\",\n \"999,989,993,969,999\\n\",\n \"01,02,03\\n\",\n \"410,32\\n\",\n \"684,699,429,694,956,812,594,070,937,764\\n\",\n \"744,359,230,576,944,442\\n\",\n \"5\\n\",\n \"7\\n\",\n \"598,415,246,827,646,476,969,864,437,448,257,764,719,639,465,046,649,734,048,646\\n\",\n \"51,1,6,42,3\\n\",\n \"826,747,849,786,437\\n\",\n \"907,342,355\\n\",\n \"500\\n\",\n \"4,4,21,6,5,3,13,2,6,1,3,4,1,3,1,9,11,1,6,17,4,5,20,4,1,9,6,11,3,4,14,1,3,3,1,4,3,5,27,1,1,2,10,7,11,4,19,7,11,6,11,13,3,1,10,7,2,1,16,1,9,4,29,13,2,12,24,2,21,1,9,8,26,12,12,5,2,14,7,8,8,8,9,4,12,2,6,6,7,16,8,14,2,10,20,15,3,7,4\\n\",\n \"996,999,983,999,999\\n\",\n \"114,24\\n\",\n \"244,449,686,032,953,457\\n\",\n \"54\\n\",\n \"566,415,246,827,646,476,969,864,437,448,257,784,719,939,465,046,649,734,048,746\\n\",\n \"3,14,6,1,16\\n\",\n \"557,253,309\\n\",\n \"419\\n\",\n \"01,11,03\\n\",\n \"684,699,429,694,856,911,594,270,937,764\\n\",\n \"22\\n\",\n \"0001,999,989,999,999,599,699,189,988,0001,0101,699,0001,789,299,979,0001,999,999,299,489,0001,399,699,0001,989,489,899,999,699\\n\",\n \"966,415,246,824,646,476,969,864,437,448,257,784,719,939,465,046,645,737,048,646\\n\",\n \"684,699,429,694,855,911,594,170,837,764\\n\",\n \"104\\n\",\n \"553,252,690\\n\",\n \"684,699,429,694,856,911,594,170,837,763\\n\",\n \"36\\n\",\n \"566,415,246,824,646,476,969,864,437,448,257,784,718,939,465,046,649,737,048,646\\n\",\n \"555,230,629\\n\",\n \"684,699,429,094,856,911,594,176,837,764\\n\",\n \"84\\n\",\n \"906,032,545\\n\"\n ],\n \"output\": [\n \"10,20,30\",\n \"1-3\",\n \"1-3,6\",\n \"32,511\",\n \"170,429,594,684,694,698,764,812,937,956\",\n \"230,359,442,586,744,944\",\n \"37\",\n \"979,981,983-984,987,989,992-993,995-996,998-1000\",\n \"1000\",\n \"2\",\n \"1,4-5,7-8,10,12-13,19,22-25,27-28,31-33,36,38,44,48,50,53,57-59,71,78,80,83,86,90,93,101,118,128,134\",\n \"437,468,487,514,564,640,642,646,674,695,728,734,752,840,844,917,936,946,969\",\n \"1,4,6,15,24\",\n \"303,401,764,872\",\n \"1-12,14-18,20-21,24-25,27-29,31,33-42,46,48-50,54,58-59,61,63,67,70,72,75,77,80,82-83,87,93,99,103,107-108,115-116,120,131,146,149,197\",\n \"1-3,6-7,9-10,13-15,17-28,30-33,43,45,47,50-51,54,57-63,68,70-72,75,77,84-86,90-91,93,95,107,111,116-117,122,131-133,138,140,148,156,160,163,166,175,199,208,249,267,286,479\",\n \"997-1000\",\n \"642,686,709,714,722,726,749,755,773,786,788,806,819,826,828,837,840,851-852,855-856,860,862,867,869,871,874,884,886-888,896,898-899,901,903-904,907-909,914,916,921,928,931,934,936,939,943,945,947-949,951-952,955,960-961,964-965,967-973,975-976,978-981,983,985-986,990,994\",\n \"437,687,747,826,849\",\n \"355,452,907\",\n \"999\",\n \"1-17,19-21,26-27,29\",\n \"746,778,815,846,853,860,863,869,871-872,877,895,904,920-921,927,932,935-936,938,943,946-947,950,952-953,956-957,960-975,978-980,983-986,988-1000\",\n \"3,9,15,20,22,26,40,74,81,103,109,111,126,145-146,158,175,184,229,279-280,318-319,336,347,361,373,381,385,392,397,399,418,435,438,446,450,455,481,488,492,496,506,513,521,530,549,557,570,572-573,577,585,593,596,604,623,643,646-647,654,657,682,708,711-713,719,732,761,778,780,782-783,788,791,809,812,820,827,840,871,876,890-891,895,899-900,907,916,975,990,996\",\n \"969,993,999\",\n \"1\",\n \"32,411\\n\",\n \"170,429,594,684,694,699,764,812,937,956\\n\",\n \"32,244,447,449,685,953\\n\",\n \"19\\n\",\n \"1,189,299,389,399,489,599,699,789,899,979,989,999\\n\",\n \"3\\n\",\n \"46,48,246,257,415,437,448,465,476,596,639,646,649,719,734,784,827,864,969\\n\",\n \"1,3,6,15,24\\n\",\n \"1-3,6-7,9-10,13-15,17-28,30-33,43,45,47,50-51,54,57-63,70-72,75,77-78,84-86,90-91,93,95,107,111,116-117,122,131-133,138,140,148,156,160,163,166,175,199,208,249,267,286,479\\n\",\n \"628,734,747,786,948\\n\",\n \"352,355,907\\n\",\n \"550\\n\",\n \"1-17,19-21,26-27,29\\n\",\n \"3,9,15,20,22,26,40,74,81,103,111,118,126,145-146,175,184,229,279-280,318-319,336,347,361,373,381,385,392,397,399,418,435,438,446,450,455,481,488,492,496,506,509,513,521,530,549,557,570,572-573,577,585,593,596,604,623,643,646-647,654,657,682,708,711-713,719,732,761,778,780,782-783,788,791,809,812,820,827,840,871,876,890-891,895,899-900,907,916,975,990,996\\n\",\n \"969,983,999\\n\",\n \"10,30\\n\",\n \"32,114\\n\",\n \"170,429,594,684,694,699,764,811,937,956\\n\",\n \"32,244,449,457,685,953\\n\",\n \"30\\n\",\n \"1,189,299,399,489,599,699,789,899,979,989,999\\n\",\n \"46,48,246,257,415,437,448,465,476,566,646,649,719,734,784,827,864,939,969\\n\",\n \"1,3,6,16,24\\n\",\n \"253,553,709\\n\",\n \"730\\n\",\n \"1,3\\n\",\n \"42,114\\n\",\n \"170,429,594,684,694,699,764,856,911,937\\n\",\n \"43\\n\",\n \"1,101,189,299,399,489,599,699,789,899,979,989,999\\n\",\n \"46,48,246,257,415,437,448,465,476,566,646,649,719,737,784,824,864,939,969\\n\",\n \"253,553,609\\n\",\n \"1,13\\n\",\n \"170,429,594,684,694,699,764,837,856,911\\n\",\n \"78\\n\",\n \"1,101,189,299,399,489,699,789,899,979,989,999\\n\",\n \"428,468,487,514,564,640,642,646,665,674,734,737,752,840,844,917,939,946,969\\n\",\n \"252,553,609\\n\",\n \"71,119,467,486,495-496,658,738,924,996\\n\",\n \"85\\n\",\n \"428,468,487,514,564,640,642,646,665,674,734,737,752,817,840,844,939,946,969\\n\",\n \"232,555,609\\n\",\n \"119,467,486,490,495,658,671,738,924,996\\n\",\n \"99\\n\",\n \"232,545,609\\n\",\n \"119,467,486,490,495,658,672,738,924,996\\n\",\n \"61\\n\",\n \"232,545,906\\n\",\n \"94,276,429,594,684,699,764,837,856,911\\n\",\n \"93\\n\",\n \"132,545,906\\n\",\n \"49\\n\",\n \"231,545,609\\n\",\n \"97\\n\",\n \"231,546,609\\n\",\n \"31,511\\n\",\n \"160,429,594,684,694,698,764,812,937,956\\n\",\n \"234,359,442,586,744,940\\n\",\n \"69\\n\",\n \"437,468,514,564,587,640,642,646,674,695,728,734,752,840,844,917,936,946,969\\n\",\n \"1,799,899,999\\n\",\n \"48,68-69,79,89,99,109,129,139,158-159,169,178-179,189,227,246,258-259,268,279,309,349,377,379,389,409,417,419,439,469,478,488,499,549,557-559,569,579,589,608,619,627-628,639,658,679,686-689,698,709,738,749,768-769,788,809,828-829,849,869,879,887-888,898,907,909,918,939,947,949,968-969,979,998\\n\",\n \"355,453,907\\n\",\n \"746,778,815,846,853,860,863,869,871-872,877,895,904,920,927,932,935-936,938,943,946-947,950,952-953,956-957,960-975,978-980,983-986,988-1000\\n\",\n \"969,989,993,999\\n\",\n \"1-3\\n\",\n \"32,410\\n\",\n \"70,429,594,684,694,699,764,812,937,956\\n\",\n \"230,359,442,576,744,944\\n\",\n \"5\\n\",\n \"7\\n\",\n \"46,48,246,257,415,437,448,465,476,598,639,646,649,719,734,764,827,864,969\\n\",\n \"1,3,6,42,51\\n\",\n \"437,747,786,826,849\\n\",\n \"342,355,907\\n\",\n \"500\\n\",\n \"1-17,19-21,24,26-27,29\\n\",\n \"983,996,999\\n\",\n \"24,114\\n\",\n \"32,244,449,457,686,953\\n\",\n \"54\\n\",\n \"46,48,246,257,415,437,448,465,476,566,646,649,719,734,746,784,827,864,939,969\\n\",\n \"1,3,6,14,16\\n\",\n \"253,309,557\\n\",\n \"419\\n\",\n \"1,3,11\\n\",\n \"270,429,594,684,694,699,764,856,911,937\\n\",\n \"22\\n\",\n \"1,101,189,299,399,489,599,699,789,899,979,988-989,999\\n\",\n \"46,48,246,257,415,437,448,465,476,645-646,719,737,784,824,864,939,966,969\\n\",\n \"170,429,594,684,694,699,764,837,855,911\\n\",\n \"104\\n\",\n \"252,553,690\\n\",\n \"170,429,594,684,694,699,763,837,856,911\\n\",\n \"36\\n\",\n \"46,48,246,257,415,437,448,465,476,566,646,649,718,737,784,824,864,939,969\\n\",\n \"230,555,629\\n\",\n \"94,176,429,594,684,699,764,837,856,911\\n\",\n \"84\\n\",\n \"32,545,906\\n\"\n ]\n}"},"source":{"kind":"class label","value":"2","name":"CODEFORCES"}}},{"rowIdx":38256,"cells":{"id":{"kind":"string","value":"34_C. Page Numbers_38256"},"description":{"kind":"string","value":"«Bersoft» company is working on a new version of its most popular text editor — Bord 2010. Bord, like many other text editors, should be able to print out multipage documents. A user keys a sequence of the document page numbers that he wants to print out (separates them with a comma, without spaces).\n\nYour task is to write a part of the program, responsible for «standardization» of this sequence. Your program gets the sequence, keyed by the user, as input. The program should output this sequence in format l1-r1,l2-r2,...,lk-rk, where ri + 1 < li + 1 for all i from 1 to k - 1, and li ≤ ri. The new sequence should contain all the page numbers, keyed by the user, and nothing else. If some page number appears in the input sequence several times, its appearances, starting from the second one, should be ignored. If for some element i from the new sequence li = ri, this element should be output as li, and not as «li - li».\n\nFor example, sequence 1,2,3,1,1,2,6,6,2 should be output as 1-3,6.\n\nInput\n\nThe only line contains the sequence, keyed by the user. The sequence contains at least one and at most 100 positive integer numbers. It's guaranteed, that this sequence consists of positive integer numbers, not exceeding 1000, separated with a comma, doesn't contain any other characters, apart from digits and commas, can't end with a comma, and the numbers don't contain leading zeroes. Also it doesn't start with a comma or contain more than one comma in a row.\n\nOutput\n\nOutput the sequence in the required format.\n\nExamples\n\nInput\n\n1,2,3,1,1,2,6,6,2\n\n\nOutput\n\n1-3,6\n\n\nInput\n\n3,2,1\n\n\nOutput\n\n1-3\n\n\nInput\n\n30,20,10\n\n\nOutput\n\n10,20,30"},"code":{"kind":"string","value":"#include \nusing namespace std;\nconst long long mod = 1000000007;\nint main() {\n ios_base::sync_with_stdio(false);\n cin.tie(NULL);\n cout.tie(NULL);\n set s;\n string t, k;\n cin >> t;\n int jj;\n for (int i = 0; i < t.length(); i++) {\n if (t[i] != ',') {\n k += t[i];\n } else {\n jj = stoi(k);\n s.insert(jj);\n k.clear();\n }\n }\n jj = stoi(k);\n s.insert(jj);\n vector v(s.begin(), s.end());\n int l = 0, sz = v.size();\n for (int i = 1; i < sz; i++) {\n if (v[i] - v[l] != i - l) {\n if (i - l == 1)\n cout << v[l] << \",\";\n else\n cout << v[l] << \"-\" << v[i - 1] << \",\";\n l = i;\n }\n }\n if (l == sz - 1)\n cout << v[sz - 1];\n else\n cout << v[l] << \"-\" << v[sz - 1];\n return 0;\n}\n"},"language":{"kind":"class label","value":"2","name":"C++"},"test_samples":{"kind":"string","value":"{\n \"input\": [\n \"30,20,10\\n\",\n \"3,2,1\\n\",\n \"1,2,3,1,1,2,6,6,2\\n\",\n \"511,32\\n\",\n \"684,698,429,694,956,812,594,170,937,764\\n\",\n \"744,359,230,586,944,442\\n\",\n \"37\\n\",\n \"996,999,998,984,989,1000,996,993,1000,983,992,999,999,1000,979,992,987,1000,996,1000,1000,989,981,996,995,999,999,989,999,1000\\n\",\n \"1000\\n\",\n \"2\\n\",\n \"93,27,28,4,5,78,59,24,19,134,31,128,118,36,90,32,32,1,44,32,33,13,31,10,12,25,38,50,25,12,4,22,28,53,48,83,4,25,57,31,71,24,8,7,28,86,23,80,101,58\\n\",\n \"646,840,437,946,640,564,936,917,487,752,844,734,468,969,674,646,728,642,514,695\\n\",\n \"4,24,6,1,15\\n\",\n \"303,872,764,401\\n\",\n \"48,108,63,21,27,8,49,21,75,8,24,42,149,18,8,28,21,18,25,35,59,70,59,33,40,1,67,34,120,82,4,115,72,87,3,15,15,63,37,12,40,27,83,14,38,20,14,58,93,10,31,3,39,6,197,77,54,16,31,146,9,49,14,8,77,82,5,11,80,116,8,61,50,24,7,103,29,11,3,3,1,12,46,24,21,131,39,29,36,2,107,40,16,99,31,41,29,48,17,17\\n\",\n \"31,75,86,68,111,27,22,22,26,30,54,163,107,75,160,122,14,23,17,26,27,20,43,58,59,71,21,148,9,32,43,91,133,286,132,70,90,156,84,14,77,93,23,18,13,72,18,131,33,28,72,175,30,86,249,20,14,208,28,57,63,199,6,10,24,30,62,267,43,479,60,28,138,1,45,3,19,47,7,166,116,117,50,140,28,14,95,85,93,43,61,15,2,70,10,51,7,95,9,25\\n\",\n \"1000,1000,1000,1000,1000,998,998,1000,1000,1000,1000,999,999,1000,1000,1000,999,1000,997,999,997,1000,999,998,1000,999,1000,1000,1000,999,1000,999,999,1000,1000,999,1000,999,1000,1000,998,1000,1000,1000,998,998,1000,1000,999,1000,1000,1000,1000,1000,1000,1000,998,1000,1000,1000,999,1000,1000,999,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,998,1000,1000,1000,998,1000,1000,998,1000,999,1000,1000,1000,1000\\n\",\n \"896,898,967,979,973,709,961,968,806,967,896,967,826,975,936,903,986,856,851,931,852,971,786,837,949,978,686,936,952,909,965,749,908,916,943,973,983,975,939,886,964,928,960,976,907,788,994,773,949,871,947,980,945,985,726,981,887,943,907,990,931,874,840,867,948,951,961,904,888,901,976,967,994,921,828,970,972,722,755,970,860,855,914,869,714,899,969,978,898,862,642,939,904,936,819,934,884,983,955,964\\n\",\n \"826,747,849,687,437\\n\",\n \"907,452,355\\n\",\n \"999\\n\",\n \"4,4,21,6,5,3,13,2,6,1,3,4,1,3,1,9,11,1,6,17,4,5,20,4,1,9,5,11,3,4,14,1,3,3,1,4,3,5,27,1,1,2,10,7,11,4,19,7,11,6,11,13,3,1,10,7,2,1,16,1,9,4,29,13,2,12,14,2,21,1,9,8,26,12,12,5,2,14,7,8,8,8,9,4,12,2,6,6,7,16,8,14,2,10,20,15,3,7,4\\n\",\n \"994,927,872,970,815,986,952,996,965,1000,877,986,978,999,950,990,936,997,993,960,921,860,895,869,943,998,983,968,973,953,999,990,995,871,853,979,973,963,953,938,997,989,993,964,960,973,946,975,1000,962,920,746,989,957,904,965,920,979,966,961,1000,993,975,952,846,971,991,979,985,969,984,973,956,1000,952,778,983,974,956,927,995,997,980,997,1000,970,960,970,988,983,947,904,935,972,1000,863,992,996,932,967\\n\",\n \"713,572,318,890,577,657,646,146,373,783,392,229,455,871,20,593,573,336,26,381,280,916,907,732,820,713,111,840,570,446,184,711,481,399,788,647,492,15,40,530,549,506,719,782,126,20,778,996,712,761,9,74,812,418,488,175,103,585,900,3,604,521,109,513,145,708,990,361,682,827,791,22,596,780,596,385,450,643,158,496,876,975,319,783,654,895,891,361,397,81,682,899,347,623,809,557,435,279,513,438\\n\",\n \"999,999,993,969,999\\n\",\n \"1\\n\",\n \"411,32\\n\",\n \"684,699,429,694,956,812,594,170,937,764\\n\",\n \"244,449,685,032,953,447\\n\",\n \"19\\n\",\n \"0001,999,989,999,999,599,699,189,989,0001,0001,699,0001,789,299,979,0001,999,999,299,389,0001,399,699,0001,989,489,899,999,699\\n\",\n \"3\\n\",\n \"596,415,246,827,646,476,969,864,437,448,257,784,719,639,465,046,649,734,048,646\\n\",\n \"3,24,6,1,15\\n\",\n \"31,75,86,78,111,27,22,22,26,30,54,163,107,75,160,122,14,23,17,26,27,20,43,58,59,71,21,148,9,32,43,91,133,286,132,70,90,156,84,14,77,93,23,18,13,72,18,131,33,28,72,175,30,86,249,20,14,208,28,57,63,199,6,10,24,30,62,267,43,479,60,28,138,1,45,3,19,47,7,166,116,117,50,140,28,14,95,85,93,43,61,15,2,70,10,51,7,95,9,25\\n\",\n \"734,786,948,747,628\\n\",\n \"907,352,355\\n\",\n \"550\\n\",\n \"4,4,21,6,5,3,13,2,6,1,3,4,1,3,1,9,11,1,6,17,4,5,20,4,1,9,6,11,3,4,14,1,3,3,1,4,3,5,27,1,1,2,10,7,11,4,19,7,11,6,11,13,3,1,10,7,2,1,16,1,9,4,29,13,2,12,14,2,21,1,9,8,26,12,12,5,2,14,7,8,8,8,9,4,12,2,6,6,7,16,8,14,2,10,20,15,3,7,4\\n\",\n \"713,572,318,890,577,657,646,146,373,783,392,229,455,871,20,593,573,336,26,381,280,916,907,732,820,713,111,840,570,446,184,711,481,399,788,647,492,15,40,530,549,506,719,782,126,20,778,996,712,761,9,74,812,418,488,175,103,585,900,3,604,521,509,513,145,708,990,361,682,827,791,22,596,780,596,385,450,643,118,496,876,975,319,783,654,895,891,361,397,81,682,899,347,623,809,557,435,279,513,438\\n\",\n \"999,999,983,969,999\\n\",\n \"30,10,10\\n\",\n \"114,32\\n\",\n \"684,699,429,694,956,811,594,170,937,764\\n\",\n \"244,449,685,032,953,457\\n\",\n \"30\\n\",\n \"0001,999,989,999,999,599,699,189,989,0001,0001,699,0001,789,299,979,0001,999,999,299,489,0001,399,699,0001,989,489,899,999,699\\n\",\n \"566,415,246,827,646,476,969,864,437,448,257,784,719,939,465,046,649,734,048,646\\n\",\n \"3,24,6,1,16\\n\",\n \"553,253,709\\n\",\n \"730\\n\",\n \"01,01,03\\n\",\n \"114,42\\n\",\n \"684,699,429,694,856,911,594,170,937,764\\n\",\n \"43\\n\",\n \"0001,999,989,999,999,599,699,189,989,0001,0101,699,0001,789,299,979,0001,999,999,299,489,0001,399,699,0001,989,489,899,999,699\\n\",\n \"566,415,246,824,646,476,969,864,437,448,257,784,719,939,465,046,649,737,048,646\\n\",\n \"553,253,609\\n\",\n \"01,01,13\\n\",\n \"684,699,429,694,856,911,594,170,837,764\\n\",\n \"78\\n\",\n \"0001,999,989,999,999,699,699,189,989,0001,0101,699,0001,789,299,979,0001,999,999,299,489,0001,399,699,0001,989,489,899,999,699\\n\",\n \"646,840,737,946,640,564,939,917,487,752,844,734,468,969,674,646,428,642,514,665\\n\",\n \"553,252,609\\n\",\n \"467,738,071,495,119,658,496,924,996,486\\n\",\n \"85\\n\",\n \"646,840,737,946,640,564,939,817,487,752,844,734,468,969,674,646,428,642,514,665\\n\",\n \"555,232,609\\n\",\n \"467,738,671,495,119,658,490,924,996,486\\n\",\n \"99\\n\",\n \"545,232,609\\n\",\n \"467,738,672,495,119,658,490,924,996,486\\n\",\n \"61\\n\",\n \"906,232,545\\n\",\n \"684,699,429,094,856,911,594,276,837,764\\n\",\n \"93\\n\",\n \"906,132,545\\n\",\n \"49\\n\",\n \"545,231,609\\n\",\n \"97\\n\",\n \"546,231,609\\n\",\n \"511,31\\n\",\n \"684,698,429,694,956,812,594,160,937,764\\n\",\n \"744,359,234,586,940,442\\n\",\n \"69\\n\",\n \"646,840,437,946,640,564,936,917,587,752,844,734,468,969,674,646,728,642,514,695\\n\",\n \"0001,0001,0001,0001,999,0001,899,0001,0001,899,0001,0001,0001,899,0001,0001,0001,0001,0001,0001,0001,0001,0001,0001,999,0001,0001,999,0001,0001,0001,899,0001,0001,0001,0001,0001,0001,0001,999,0001,0001,899,899,0001,0001,0001,899,0001,0001,999,0001,999,0001,0001,999,999,0001,999,0001,0001,0001,999,0001,899,999,0001,799,999,799,0001,999,0001,0001,0001,999,999,0001,0001,0001,0001,899,899,0001,0001,0001,0001,0001\\n\",\n \"469,559,389,488,439,918,639,409,939,246,268,898,879,969,998,417,968,419,558,068,079,557,227,279,079,828,129,499,769,679,109,888,409,169,159,849,768,048,478,139,099,709,349,788,189,627,589,549,089,749,178,949,377,499,887,709,679,069,829,469,688,939,579,389,379,349,619,809,947,569,909,259,639,686,879,949,738,687,179,258,139,158,658,689,309,639,579,628,769,698,769,608,869,169,907,379,979,769,898,698\\n\",\n \"907,453,355\\n\",\n \"994,927,872,970,815,986,952,996,965,1000,877,986,978,999,950,990,936,997,993,960,920,860,895,869,943,998,983,968,973,953,999,990,995,871,853,979,973,963,953,938,997,989,993,964,960,973,946,975,1000,962,920,746,989,957,904,965,920,979,966,961,1000,993,975,952,846,971,991,979,985,969,984,973,956,1000,952,778,983,974,956,927,995,997,980,997,1000,970,960,970,988,983,947,904,935,972,1000,863,992,996,932,967\\n\",\n \"999,989,993,969,999\\n\",\n \"01,02,03\\n\",\n \"410,32\\n\",\n \"684,699,429,694,956,812,594,070,937,764\\n\",\n \"744,359,230,576,944,442\\n\",\n \"5\\n\",\n \"7\\n\",\n \"598,415,246,827,646,476,969,864,437,448,257,764,719,639,465,046,649,734,048,646\\n\",\n \"51,1,6,42,3\\n\",\n \"826,747,849,786,437\\n\",\n \"907,342,355\\n\",\n \"500\\n\",\n \"4,4,21,6,5,3,13,2,6,1,3,4,1,3,1,9,11,1,6,17,4,5,20,4,1,9,6,11,3,4,14,1,3,3,1,4,3,5,27,1,1,2,10,7,11,4,19,7,11,6,11,13,3,1,10,7,2,1,16,1,9,4,29,13,2,12,24,2,21,1,9,8,26,12,12,5,2,14,7,8,8,8,9,4,12,2,6,6,7,16,8,14,2,10,20,15,3,7,4\\n\",\n \"996,999,983,999,999\\n\",\n \"114,24\\n\",\n \"244,449,686,032,953,457\\n\",\n \"54\\n\",\n \"566,415,246,827,646,476,969,864,437,448,257,784,719,939,465,046,649,734,048,746\\n\",\n \"3,14,6,1,16\\n\",\n \"557,253,309\\n\",\n \"419\\n\",\n \"01,11,03\\n\",\n \"684,699,429,694,856,911,594,270,937,764\\n\",\n \"22\\n\",\n \"0001,999,989,999,999,599,699,189,988,0001,0101,699,0001,789,299,979,0001,999,999,299,489,0001,399,699,0001,989,489,899,999,699\\n\",\n \"966,415,246,824,646,476,969,864,437,448,257,784,719,939,465,046,645,737,048,646\\n\",\n \"684,699,429,694,855,911,594,170,837,764\\n\",\n \"104\\n\",\n \"553,252,690\\n\",\n \"684,699,429,694,856,911,594,170,837,763\\n\",\n \"36\\n\",\n \"566,415,246,824,646,476,969,864,437,448,257,784,718,939,465,046,649,737,048,646\\n\",\n \"555,230,629\\n\",\n \"684,699,429,094,856,911,594,176,837,764\\n\",\n \"84\\n\",\n \"906,032,545\\n\"\n ],\n \"output\": [\n \"10,20,30\",\n \"1-3\",\n \"1-3,6\",\n \"32,511\",\n \"170,429,594,684,694,698,764,812,937,956\",\n \"230,359,442,586,744,944\",\n \"37\",\n \"979,981,983-984,987,989,992-993,995-996,998-1000\",\n \"1000\",\n \"2\",\n \"1,4-5,7-8,10,12-13,19,22-25,27-28,31-33,36,38,44,48,50,53,57-59,71,78,80,83,86,90,93,101,118,128,134\",\n \"437,468,487,514,564,640,642,646,674,695,728,734,752,840,844,917,936,946,969\",\n \"1,4,6,15,24\",\n \"303,401,764,872\",\n \"1-12,14-18,20-21,24-25,27-29,31,33-42,46,48-50,54,58-59,61,63,67,70,72,75,77,80,82-83,87,93,99,103,107-108,115-116,120,131,146,149,197\",\n \"1-3,6-7,9-10,13-15,17-28,30-33,43,45,47,50-51,54,57-63,68,70-72,75,77,84-86,90-91,93,95,107,111,116-117,122,131-133,138,140,148,156,160,163,166,175,199,208,249,267,286,479\",\n \"997-1000\",\n \"642,686,709,714,722,726,749,755,773,786,788,806,819,826,828,837,840,851-852,855-856,860,862,867,869,871,874,884,886-888,896,898-899,901,903-904,907-909,914,916,921,928,931,934,936,939,943,945,947-949,951-952,955,960-961,964-965,967-973,975-976,978-981,983,985-986,990,994\",\n \"437,687,747,826,849\",\n \"355,452,907\",\n \"999\",\n \"1-17,19-21,26-27,29\",\n \"746,778,815,846,853,860,863,869,871-872,877,895,904,920-921,927,932,935-936,938,943,946-947,950,952-953,956-957,960-975,978-980,983-986,988-1000\",\n \"3,9,15,20,22,26,40,74,81,103,109,111,126,145-146,158,175,184,229,279-280,318-319,336,347,361,373,381,385,392,397,399,418,435,438,446,450,455,481,488,492,496,506,513,521,530,549,557,570,572-573,577,585,593,596,604,623,643,646-647,654,657,682,708,711-713,719,732,761,778,780,782-783,788,791,809,812,820,827,840,871,876,890-891,895,899-900,907,916,975,990,996\",\n \"969,993,999\",\n \"1\",\n \"32,411\\n\",\n \"170,429,594,684,694,699,764,812,937,956\\n\",\n \"32,244,447,449,685,953\\n\",\n \"19\\n\",\n \"1,189,299,389,399,489,599,699,789,899,979,989,999\\n\",\n \"3\\n\",\n \"46,48,246,257,415,437,448,465,476,596,639,646,649,719,734,784,827,864,969\\n\",\n \"1,3,6,15,24\\n\",\n \"1-3,6-7,9-10,13-15,17-28,30-33,43,45,47,50-51,54,57-63,70-72,75,77-78,84-86,90-91,93,95,107,111,116-117,122,131-133,138,140,148,156,160,163,166,175,199,208,249,267,286,479\\n\",\n \"628,734,747,786,948\\n\",\n \"352,355,907\\n\",\n \"550\\n\",\n \"1-17,19-21,26-27,29\\n\",\n \"3,9,15,20,22,26,40,74,81,103,111,118,126,145-146,175,184,229,279-280,318-319,336,347,361,373,381,385,392,397,399,418,435,438,446,450,455,481,488,492,496,506,509,513,521,530,549,557,570,572-573,577,585,593,596,604,623,643,646-647,654,657,682,708,711-713,719,732,761,778,780,782-783,788,791,809,812,820,827,840,871,876,890-891,895,899-900,907,916,975,990,996\\n\",\n \"969,983,999\\n\",\n \"10,30\\n\",\n \"32,114\\n\",\n \"170,429,594,684,694,699,764,811,937,956\\n\",\n \"32,244,449,457,685,953\\n\",\n \"30\\n\",\n \"1,189,299,399,489,599,699,789,899,979,989,999\\n\",\n \"46,48,246,257,415,437,448,465,476,566,646,649,719,734,784,827,864,939,969\\n\",\n \"1,3,6,16,24\\n\",\n \"253,553,709\\n\",\n \"730\\n\",\n \"1,3\\n\",\n \"42,114\\n\",\n \"170,429,594,684,694,699,764,856,911,937\\n\",\n \"43\\n\",\n \"1,101,189,299,399,489,599,699,789,899,979,989,999\\n\",\n \"46,48,246,257,415,437,448,465,476,566,646,649,719,737,784,824,864,939,969\\n\",\n \"253,553,609\\n\",\n \"1,13\\n\",\n \"170,429,594,684,694,699,764,837,856,911\\n\",\n \"78\\n\",\n \"1,101,189,299,399,489,699,789,899,979,989,999\\n\",\n \"428,468,487,514,564,640,642,646,665,674,734,737,752,840,844,917,939,946,969\\n\",\n \"252,553,609\\n\",\n \"71,119,467,486,495-496,658,738,924,996\\n\",\n \"85\\n\",\n \"428,468,487,514,564,640,642,646,665,674,734,737,752,817,840,844,939,946,969\\n\",\n \"232,555,609\\n\",\n \"119,467,486,490,495,658,671,738,924,996\\n\",\n \"99\\n\",\n \"232,545,609\\n\",\n \"119,467,486,490,495,658,672,738,924,996\\n\",\n \"61\\n\",\n \"232,545,906\\n\",\n \"94,276,429,594,684,699,764,837,856,911\\n\",\n \"93\\n\",\n \"132,545,906\\n\",\n \"49\\n\",\n \"231,545,609\\n\",\n \"97\\n\",\n \"231,546,609\\n\",\n \"31,511\\n\",\n \"160,429,594,684,694,698,764,812,937,956\\n\",\n \"234,359,442,586,744,940\\n\",\n \"69\\n\",\n \"437,468,514,564,587,640,642,646,674,695,728,734,752,840,844,917,936,946,969\\n\",\n \"1,799,899,999\\n\",\n \"48,68-69,79,89,99,109,129,139,158-159,169,178-179,189,227,246,258-259,268,279,309,349,377,379,389,409,417,419,439,469,478,488,499,549,557-559,569,579,589,608,619,627-628,639,658,679,686-689,698,709,738,749,768-769,788,809,828-829,849,869,879,887-888,898,907,909,918,939,947,949,968-969,979,998\\n\",\n \"355,453,907\\n\",\n \"746,778,815,846,853,860,863,869,871-872,877,895,904,920,927,932,935-936,938,943,946-947,950,952-953,956-957,960-975,978-980,983-986,988-1000\\n\",\n \"969,989,993,999\\n\",\n \"1-3\\n\",\n \"32,410\\n\",\n \"70,429,594,684,694,699,764,812,937,956\\n\",\n \"230,359,442,576,744,944\\n\",\n \"5\\n\",\n \"7\\n\",\n \"46,48,246,257,415,437,448,465,476,598,639,646,649,719,734,764,827,864,969\\n\",\n \"1,3,6,42,51\\n\",\n \"437,747,786,826,849\\n\",\n \"342,355,907\\n\",\n \"500\\n\",\n \"1-17,19-21,24,26-27,29\\n\",\n \"983,996,999\\n\",\n \"24,114\\n\",\n \"32,244,449,457,686,953\\n\",\n \"54\\n\",\n \"46,48,246,257,415,437,448,465,476,566,646,649,719,734,746,784,827,864,939,969\\n\",\n \"1,3,6,14,16\\n\",\n \"253,309,557\\n\",\n \"419\\n\",\n \"1,3,11\\n\",\n \"270,429,594,684,694,699,764,856,911,937\\n\",\n \"22\\n\",\n \"1,101,189,299,399,489,599,699,789,899,979,988-989,999\\n\",\n \"46,48,246,257,415,437,448,465,476,645-646,719,737,784,824,864,939,966,969\\n\",\n \"170,429,594,684,694,699,764,837,855,911\\n\",\n \"104\\n\",\n \"252,553,690\\n\",\n \"170,429,594,684,694,699,763,837,856,911\\n\",\n \"36\\n\",\n \"46,48,246,257,415,437,448,465,476,566,646,649,718,737,784,824,864,939,969\\n\",\n \"230,555,629\\n\",\n \"94,176,429,594,684,699,764,837,856,911\\n\",\n \"84\\n\",\n \"32,545,906\\n\"\n ]\n}"},"source":{"kind":"class label","value":"2","name":"CODEFORCES"}}},{"rowIdx":38257,"cells":{"id":{"kind":"string","value":"34_C. Page Numbers_38257"},"description":{"kind":"string","value":"«Bersoft» company is working on a new version of its most popular text editor — Bord 2010. Bord, like many other text editors, should be able to print out multipage documents. A user keys a sequence of the document page numbers that he wants to print out (separates them with a comma, without spaces).\n\nYour task is to write a part of the program, responsible for «standardization» of this sequence. Your program gets the sequence, keyed by the user, as input. The program should output this sequence in format l1-r1,l2-r2,...,lk-rk, where ri + 1 < li + 1 for all i from 1 to k - 1, and li ≤ ri. The new sequence should contain all the page numbers, keyed by the user, and nothing else. If some page number appears in the input sequence several times, its appearances, starting from the second one, should be ignored. If for some element i from the new sequence li = ri, this element should be output as li, and not as «li - li».\n\nFor example, sequence 1,2,3,1,1,2,6,6,2 should be output as 1-3,6.\n\nInput\n\nThe only line contains the sequence, keyed by the user. The sequence contains at least one and at most 100 positive integer numbers. It's guaranteed, that this sequence consists of positive integer numbers, not exceeding 1000, separated with a comma, doesn't contain any other characters, apart from digits and commas, can't end with a comma, and the numbers don't contain leading zeroes. Also it doesn't start with a comma or contain more than one comma in a row.\n\nOutput\n\nOutput the sequence in the required format.\n\nExamples\n\nInput\n\n1,2,3,1,1,2,6,6,2\n\n\nOutput\n\n1-3,6\n\n\nInput\n\n3,2,1\n\n\nOutput\n\n1-3\n\n\nInput\n\n30,20,10\n\n\nOutput\n\n10,20,30"},"code":{"kind":"string","value":"A=[int(num) for num in input().split(',')]\ns_a=sorted(set(A))\nprev=None\nstring=\"\"\ncount=0\nfor i in s_a:\n if prev is None:\n prev=i\n string+=str(prev)\n count+=1\n else:\n if i-(prev+count)==0:\n count+=1\n else:\n if count>1:\n string+='-'+str(prev+count-1)+','+str(i)\n else:\n string+=','+str(i)\n count=1\n prev=i\nif count>1:\n string+='-'+str(prev+count-1)\nprint(string)\n\n\n"},"language":{"kind":"class label","value":"3","name":"Python3"},"test_samples":{"kind":"string","value":"{\n \"input\": [\n \"30,20,10\\n\",\n \"3,2,1\\n\",\n \"1,2,3,1,1,2,6,6,2\\n\",\n \"511,32\\n\",\n \"684,698,429,694,956,812,594,170,937,764\\n\",\n \"744,359,230,586,944,442\\n\",\n \"37\\n\",\n \"996,999,998,984,989,1000,996,993,1000,983,992,999,999,1000,979,992,987,1000,996,1000,1000,989,981,996,995,999,999,989,999,1000\\n\",\n \"1000\\n\",\n \"2\\n\",\n \"93,27,28,4,5,78,59,24,19,134,31,128,118,36,90,32,32,1,44,32,33,13,31,10,12,25,38,50,25,12,4,22,28,53,48,83,4,25,57,31,71,24,8,7,28,86,23,80,101,58\\n\",\n \"646,840,437,946,640,564,936,917,487,752,844,734,468,969,674,646,728,642,514,695\\n\",\n \"4,24,6,1,15\\n\",\n \"303,872,764,401\\n\",\n \"48,108,63,21,27,8,49,21,75,8,24,42,149,18,8,28,21,18,25,35,59,70,59,33,40,1,67,34,120,82,4,115,72,87,3,15,15,63,37,12,40,27,83,14,38,20,14,58,93,10,31,3,39,6,197,77,54,16,31,146,9,49,14,8,77,82,5,11,80,116,8,61,50,24,7,103,29,11,3,3,1,12,46,24,21,131,39,29,36,2,107,40,16,99,31,41,29,48,17,17\\n\",\n \"31,75,86,68,111,27,22,22,26,30,54,163,107,75,160,122,14,23,17,26,27,20,43,58,59,71,21,148,9,32,43,91,133,286,132,70,90,156,84,14,77,93,23,18,13,72,18,131,33,28,72,175,30,86,249,20,14,208,28,57,63,199,6,10,24,30,62,267,43,479,60,28,138,1,45,3,19,47,7,166,116,117,50,140,28,14,95,85,93,43,61,15,2,70,10,51,7,95,9,25\\n\",\n \"1000,1000,1000,1000,1000,998,998,1000,1000,1000,1000,999,999,1000,1000,1000,999,1000,997,999,997,1000,999,998,1000,999,1000,1000,1000,999,1000,999,999,1000,1000,999,1000,999,1000,1000,998,1000,1000,1000,998,998,1000,1000,999,1000,1000,1000,1000,1000,1000,1000,998,1000,1000,1000,999,1000,1000,999,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,998,1000,1000,1000,998,1000,1000,998,1000,999,1000,1000,1000,1000\\n\",\n \"896,898,967,979,973,709,961,968,806,967,896,967,826,975,936,903,986,856,851,931,852,971,786,837,949,978,686,936,952,909,965,749,908,916,943,973,983,975,939,886,964,928,960,976,907,788,994,773,949,871,947,980,945,985,726,981,887,943,907,990,931,874,840,867,948,951,961,904,888,901,976,967,994,921,828,970,972,722,755,970,860,855,914,869,714,899,969,978,898,862,642,939,904,936,819,934,884,983,955,964\\n\",\n \"826,747,849,687,437\\n\",\n \"907,452,355\\n\",\n \"999\\n\",\n \"4,4,21,6,5,3,13,2,6,1,3,4,1,3,1,9,11,1,6,17,4,5,20,4,1,9,5,11,3,4,14,1,3,3,1,4,3,5,27,1,1,2,10,7,11,4,19,7,11,6,11,13,3,1,10,7,2,1,16,1,9,4,29,13,2,12,14,2,21,1,9,8,26,12,12,5,2,14,7,8,8,8,9,4,12,2,6,6,7,16,8,14,2,10,20,15,3,7,4\\n\",\n \"994,927,872,970,815,986,952,996,965,1000,877,986,978,999,950,990,936,997,993,960,921,860,895,869,943,998,983,968,973,953,999,990,995,871,853,979,973,963,953,938,997,989,993,964,960,973,946,975,1000,962,920,746,989,957,904,965,920,979,966,961,1000,993,975,952,846,971,991,979,985,969,984,973,956,1000,952,778,983,974,956,927,995,997,980,997,1000,970,960,970,988,983,947,904,935,972,1000,863,992,996,932,967\\n\",\n \"713,572,318,890,577,657,646,146,373,783,392,229,455,871,20,593,573,336,26,381,280,916,907,732,820,713,111,840,570,446,184,711,481,399,788,647,492,15,40,530,549,506,719,782,126,20,778,996,712,761,9,74,812,418,488,175,103,585,900,3,604,521,109,513,145,708,990,361,682,827,791,22,596,780,596,385,450,643,158,496,876,975,319,783,654,895,891,361,397,81,682,899,347,623,809,557,435,279,513,438\\n\",\n \"999,999,993,969,999\\n\",\n \"1\\n\",\n \"411,32\\n\",\n \"684,699,429,694,956,812,594,170,937,764\\n\",\n \"244,449,685,032,953,447\\n\",\n \"19\\n\",\n \"0001,999,989,999,999,599,699,189,989,0001,0001,699,0001,789,299,979,0001,999,999,299,389,0001,399,699,0001,989,489,899,999,699\\n\",\n \"3\\n\",\n \"596,415,246,827,646,476,969,864,437,448,257,784,719,639,465,046,649,734,048,646\\n\",\n \"3,24,6,1,15\\n\",\n \"31,75,86,78,111,27,22,22,26,30,54,163,107,75,160,122,14,23,17,26,27,20,43,58,59,71,21,148,9,32,43,91,133,286,132,70,90,156,84,14,77,93,23,18,13,72,18,131,33,28,72,175,30,86,249,20,14,208,28,57,63,199,6,10,24,30,62,267,43,479,60,28,138,1,45,3,19,47,7,166,116,117,50,140,28,14,95,85,93,43,61,15,2,70,10,51,7,95,9,25\\n\",\n \"734,786,948,747,628\\n\",\n \"907,352,355\\n\",\n \"550\\n\",\n \"4,4,21,6,5,3,13,2,6,1,3,4,1,3,1,9,11,1,6,17,4,5,20,4,1,9,6,11,3,4,14,1,3,3,1,4,3,5,27,1,1,2,10,7,11,4,19,7,11,6,11,13,3,1,10,7,2,1,16,1,9,4,29,13,2,12,14,2,21,1,9,8,26,12,12,5,2,14,7,8,8,8,9,4,12,2,6,6,7,16,8,14,2,10,20,15,3,7,4\\n\",\n \"713,572,318,890,577,657,646,146,373,783,392,229,455,871,20,593,573,336,26,381,280,916,907,732,820,713,111,840,570,446,184,711,481,399,788,647,492,15,40,530,549,506,719,782,126,20,778,996,712,761,9,74,812,418,488,175,103,585,900,3,604,521,509,513,145,708,990,361,682,827,791,22,596,780,596,385,450,643,118,496,876,975,319,783,654,895,891,361,397,81,682,899,347,623,809,557,435,279,513,438\\n\",\n \"999,999,983,969,999\\n\",\n \"30,10,10\\n\",\n \"114,32\\n\",\n \"684,699,429,694,956,811,594,170,937,764\\n\",\n \"244,449,685,032,953,457\\n\",\n \"30\\n\",\n \"0001,999,989,999,999,599,699,189,989,0001,0001,699,0001,789,299,979,0001,999,999,299,489,0001,399,699,0001,989,489,899,999,699\\n\",\n \"566,415,246,827,646,476,969,864,437,448,257,784,719,939,465,046,649,734,048,646\\n\",\n \"3,24,6,1,16\\n\",\n \"553,253,709\\n\",\n \"730\\n\",\n \"01,01,03\\n\",\n \"114,42\\n\",\n \"684,699,429,694,856,911,594,170,937,764\\n\",\n \"43\\n\",\n \"0001,999,989,999,999,599,699,189,989,0001,0101,699,0001,789,299,979,0001,999,999,299,489,0001,399,699,0001,989,489,899,999,699\\n\",\n \"566,415,246,824,646,476,969,864,437,448,257,784,719,939,465,046,649,737,048,646\\n\",\n \"553,253,609\\n\",\n \"01,01,13\\n\",\n \"684,699,429,694,856,911,594,170,837,764\\n\",\n \"78\\n\",\n \"0001,999,989,999,999,699,699,189,989,0001,0101,699,0001,789,299,979,0001,999,999,299,489,0001,399,699,0001,989,489,899,999,699\\n\",\n \"646,840,737,946,640,564,939,917,487,752,844,734,468,969,674,646,428,642,514,665\\n\",\n \"553,252,609\\n\",\n \"467,738,071,495,119,658,496,924,996,486\\n\",\n \"85\\n\",\n \"646,840,737,946,640,564,939,817,487,752,844,734,468,969,674,646,428,642,514,665\\n\",\n \"555,232,609\\n\",\n \"467,738,671,495,119,658,490,924,996,486\\n\",\n \"99\\n\",\n \"545,232,609\\n\",\n \"467,738,672,495,119,658,490,924,996,486\\n\",\n \"61\\n\",\n \"906,232,545\\n\",\n \"684,699,429,094,856,911,594,276,837,764\\n\",\n \"93\\n\",\n \"906,132,545\\n\",\n \"49\\n\",\n \"545,231,609\\n\",\n \"97\\n\",\n \"546,231,609\\n\",\n \"511,31\\n\",\n \"684,698,429,694,956,812,594,160,937,764\\n\",\n \"744,359,234,586,940,442\\n\",\n \"69\\n\",\n \"646,840,437,946,640,564,936,917,587,752,844,734,468,969,674,646,728,642,514,695\\n\",\n \"0001,0001,0001,0001,999,0001,899,0001,0001,899,0001,0001,0001,899,0001,0001,0001,0001,0001,0001,0001,0001,0001,0001,999,0001,0001,999,0001,0001,0001,899,0001,0001,0001,0001,0001,0001,0001,999,0001,0001,899,899,0001,0001,0001,899,0001,0001,999,0001,999,0001,0001,999,999,0001,999,0001,0001,0001,999,0001,899,999,0001,799,999,799,0001,999,0001,0001,0001,999,999,0001,0001,0001,0001,899,899,0001,0001,0001,0001,0001\\n\",\n \"469,559,389,488,439,918,639,409,939,246,268,898,879,969,998,417,968,419,558,068,079,557,227,279,079,828,129,499,769,679,109,888,409,169,159,849,768,048,478,139,099,709,349,788,189,627,589,549,089,749,178,949,377,499,887,709,679,069,829,469,688,939,579,389,379,349,619,809,947,569,909,259,639,686,879,949,738,687,179,258,139,158,658,689,309,639,579,628,769,698,769,608,869,169,907,379,979,769,898,698\\n\",\n \"907,453,355\\n\",\n \"994,927,872,970,815,986,952,996,965,1000,877,986,978,999,950,990,936,997,993,960,920,860,895,869,943,998,983,968,973,953,999,990,995,871,853,979,973,963,953,938,997,989,993,964,960,973,946,975,1000,962,920,746,989,957,904,965,920,979,966,961,1000,993,975,952,846,971,991,979,985,969,984,973,956,1000,952,778,983,974,956,927,995,997,980,997,1000,970,960,970,988,983,947,904,935,972,1000,863,992,996,932,967\\n\",\n \"999,989,993,969,999\\n\",\n \"01,02,03\\n\",\n \"410,32\\n\",\n \"684,699,429,694,956,812,594,070,937,764\\n\",\n \"744,359,230,576,944,442\\n\",\n \"5\\n\",\n \"7\\n\",\n \"598,415,246,827,646,476,969,864,437,448,257,764,719,639,465,046,649,734,048,646\\n\",\n \"51,1,6,42,3\\n\",\n \"826,747,849,786,437\\n\",\n \"907,342,355\\n\",\n \"500\\n\",\n \"4,4,21,6,5,3,13,2,6,1,3,4,1,3,1,9,11,1,6,17,4,5,20,4,1,9,6,11,3,4,14,1,3,3,1,4,3,5,27,1,1,2,10,7,11,4,19,7,11,6,11,13,3,1,10,7,2,1,16,1,9,4,29,13,2,12,24,2,21,1,9,8,26,12,12,5,2,14,7,8,8,8,9,4,12,2,6,6,7,16,8,14,2,10,20,15,3,7,4\\n\",\n \"996,999,983,999,999\\n\",\n \"114,24\\n\",\n \"244,449,686,032,953,457\\n\",\n \"54\\n\",\n \"566,415,246,827,646,476,969,864,437,448,257,784,719,939,465,046,649,734,048,746\\n\",\n \"3,14,6,1,16\\n\",\n \"557,253,309\\n\",\n \"419\\n\",\n \"01,11,03\\n\",\n \"684,699,429,694,856,911,594,270,937,764\\n\",\n \"22\\n\",\n \"0001,999,989,999,999,599,699,189,988,0001,0101,699,0001,789,299,979,0001,999,999,299,489,0001,399,699,0001,989,489,899,999,699\\n\",\n \"966,415,246,824,646,476,969,864,437,448,257,784,719,939,465,046,645,737,048,646\\n\",\n \"684,699,429,694,855,911,594,170,837,764\\n\",\n \"104\\n\",\n \"553,252,690\\n\",\n \"684,699,429,694,856,911,594,170,837,763\\n\",\n \"36\\n\",\n \"566,415,246,824,646,476,969,864,437,448,257,784,718,939,465,046,649,737,048,646\\n\",\n \"555,230,629\\n\",\n \"684,699,429,094,856,911,594,176,837,764\\n\",\n \"84\\n\",\n \"906,032,545\\n\"\n ],\n \"output\": [\n \"10,20,30\",\n \"1-3\",\n \"1-3,6\",\n \"32,511\",\n \"170,429,594,684,694,698,764,812,937,956\",\n \"230,359,442,586,744,944\",\n \"37\",\n \"979,981,983-984,987,989,992-993,995-996,998-1000\",\n \"1000\",\n \"2\",\n \"1,4-5,7-8,10,12-13,19,22-25,27-28,31-33,36,38,44,48,50,53,57-59,71,78,80,83,86,90,93,101,118,128,134\",\n \"437,468,487,514,564,640,642,646,674,695,728,734,752,840,844,917,936,946,969\",\n \"1,4,6,15,24\",\n \"303,401,764,872\",\n \"1-12,14-18,20-21,24-25,27-29,31,33-42,46,48-50,54,58-59,61,63,67,70,72,75,77,80,82-83,87,93,99,103,107-108,115-116,120,131,146,149,197\",\n \"1-3,6-7,9-10,13-15,17-28,30-33,43,45,47,50-51,54,57-63,68,70-72,75,77,84-86,90-91,93,95,107,111,116-117,122,131-133,138,140,148,156,160,163,166,175,199,208,249,267,286,479\",\n \"997-1000\",\n \"642,686,709,714,722,726,749,755,773,786,788,806,819,826,828,837,840,851-852,855-856,860,862,867,869,871,874,884,886-888,896,898-899,901,903-904,907-909,914,916,921,928,931,934,936,939,943,945,947-949,951-952,955,960-961,964-965,967-973,975-976,978-981,983,985-986,990,994\",\n \"437,687,747,826,849\",\n \"355,452,907\",\n \"999\",\n \"1-17,19-21,26-27,29\",\n \"746,778,815,846,853,860,863,869,871-872,877,895,904,920-921,927,932,935-936,938,943,946-947,950,952-953,956-957,960-975,978-980,983-986,988-1000\",\n \"3,9,15,20,22,26,40,74,81,103,109,111,126,145-146,158,175,184,229,279-280,318-319,336,347,361,373,381,385,392,397,399,418,435,438,446,450,455,481,488,492,496,506,513,521,530,549,557,570,572-573,577,585,593,596,604,623,643,646-647,654,657,682,708,711-713,719,732,761,778,780,782-783,788,791,809,812,820,827,840,871,876,890-891,895,899-900,907,916,975,990,996\",\n \"969,993,999\",\n \"1\",\n \"32,411\\n\",\n \"170,429,594,684,694,699,764,812,937,956\\n\",\n \"32,244,447,449,685,953\\n\",\n \"19\\n\",\n \"1,189,299,389,399,489,599,699,789,899,979,989,999\\n\",\n \"3\\n\",\n \"46,48,246,257,415,437,448,465,476,596,639,646,649,719,734,784,827,864,969\\n\",\n \"1,3,6,15,24\\n\",\n \"1-3,6-7,9-10,13-15,17-28,30-33,43,45,47,50-51,54,57-63,70-72,75,77-78,84-86,90-91,93,95,107,111,116-117,122,131-133,138,140,148,156,160,163,166,175,199,208,249,267,286,479\\n\",\n \"628,734,747,786,948\\n\",\n \"352,355,907\\n\",\n \"550\\n\",\n \"1-17,19-21,26-27,29\\n\",\n \"3,9,15,20,22,26,40,74,81,103,111,118,126,145-146,175,184,229,279-280,318-319,336,347,361,373,381,385,392,397,399,418,435,438,446,450,455,481,488,492,496,506,509,513,521,530,549,557,570,572-573,577,585,593,596,604,623,643,646-647,654,657,682,708,711-713,719,732,761,778,780,782-783,788,791,809,812,820,827,840,871,876,890-891,895,899-900,907,916,975,990,996\\n\",\n \"969,983,999\\n\",\n \"10,30\\n\",\n \"32,114\\n\",\n \"170,429,594,684,694,699,764,811,937,956\\n\",\n \"32,244,449,457,685,953\\n\",\n \"30\\n\",\n \"1,189,299,399,489,599,699,789,899,979,989,999\\n\",\n \"46,48,246,257,415,437,448,465,476,566,646,649,719,734,784,827,864,939,969\\n\",\n \"1,3,6,16,24\\n\",\n \"253,553,709\\n\",\n \"730\\n\",\n \"1,3\\n\",\n \"42,114\\n\",\n \"170,429,594,684,694,699,764,856,911,937\\n\",\n \"43\\n\",\n \"1,101,189,299,399,489,599,699,789,899,979,989,999\\n\",\n \"46,48,246,257,415,437,448,465,476,566,646,649,719,737,784,824,864,939,969\\n\",\n \"253,553,609\\n\",\n \"1,13\\n\",\n \"170,429,594,684,694,699,764,837,856,911\\n\",\n \"78\\n\",\n \"1,101,189,299,399,489,699,789,899,979,989,999\\n\",\n \"428,468,487,514,564,640,642,646,665,674,734,737,752,840,844,917,939,946,969\\n\",\n \"252,553,609\\n\",\n \"71,119,467,486,495-496,658,738,924,996\\n\",\n \"85\\n\",\n \"428,468,487,514,564,640,642,646,665,674,734,737,752,817,840,844,939,946,969\\n\",\n \"232,555,609\\n\",\n \"119,467,486,490,495,658,671,738,924,996\\n\",\n \"99\\n\",\n \"232,545,609\\n\",\n \"119,467,486,490,495,658,672,738,924,996\\n\",\n \"61\\n\",\n \"232,545,906\\n\",\n \"94,276,429,594,684,699,764,837,856,911\\n\",\n \"93\\n\",\n \"132,545,906\\n\",\n \"49\\n\",\n \"231,545,609\\n\",\n \"97\\n\",\n \"231,546,609\\n\",\n \"31,511\\n\",\n \"160,429,594,684,694,698,764,812,937,956\\n\",\n \"234,359,442,586,744,940\\n\",\n \"69\\n\",\n \"437,468,514,564,587,640,642,646,674,695,728,734,752,840,844,917,936,946,969\\n\",\n \"1,799,899,999\\n\",\n \"48,68-69,79,89,99,109,129,139,158-159,169,178-179,189,227,246,258-259,268,279,309,349,377,379,389,409,417,419,439,469,478,488,499,549,557-559,569,579,589,608,619,627-628,639,658,679,686-689,698,709,738,749,768-769,788,809,828-829,849,869,879,887-888,898,907,909,918,939,947,949,968-969,979,998\\n\",\n \"355,453,907\\n\",\n \"746,778,815,846,853,860,863,869,871-872,877,895,904,920,927,932,935-936,938,943,946-947,950,952-953,956-957,960-975,978-980,983-986,988-1000\\n\",\n \"969,989,993,999\\n\",\n \"1-3\\n\",\n \"32,410\\n\",\n \"70,429,594,684,694,699,764,812,937,956\\n\",\n \"230,359,442,576,744,944\\n\",\n \"5\\n\",\n \"7\\n\",\n \"46,48,246,257,415,437,448,465,476,598,639,646,649,719,734,764,827,864,969\\n\",\n \"1,3,6,42,51\\n\",\n \"437,747,786,826,849\\n\",\n \"342,355,907\\n\",\n \"500\\n\",\n \"1-17,19-21,24,26-27,29\\n\",\n \"983,996,999\\n\",\n \"24,114\\n\",\n \"32,244,449,457,686,953\\n\",\n \"54\\n\",\n \"46,48,246,257,415,437,448,465,476,566,646,649,719,734,746,784,827,864,939,969\\n\",\n \"1,3,6,14,16\\n\",\n \"253,309,557\\n\",\n \"419\\n\",\n \"1,3,11\\n\",\n \"270,429,594,684,694,699,764,856,911,937\\n\",\n \"22\\n\",\n \"1,101,189,299,399,489,599,699,789,899,979,988-989,999\\n\",\n \"46,48,246,257,415,437,448,465,476,645-646,719,737,784,824,864,939,966,969\\n\",\n \"170,429,594,684,694,699,764,837,855,911\\n\",\n \"104\\n\",\n \"252,553,690\\n\",\n \"170,429,594,684,694,699,763,837,856,911\\n\",\n \"36\\n\",\n \"46,48,246,257,415,437,448,465,476,566,646,649,718,737,784,824,864,939,969\\n\",\n \"230,555,629\\n\",\n \"94,176,429,594,684,699,764,837,856,911\\n\",\n \"84\\n\",\n \"32,545,906\\n\"\n ]\n}"},"source":{"kind":"class label","value":"2","name":"CODEFORCES"}}},{"rowIdx":38258,"cells":{"id":{"kind":"string","value":"34_C. Page Numbers_38258"},"description":{"kind":"string","value":"«Bersoft» company is working on a new version of its most popular text editor — Bord 2010. Bord, like many other text editors, should be able to print out multipage documents. A user keys a sequence of the document page numbers that he wants to print out (separates them with a comma, without spaces).\n\nYour task is to write a part of the program, responsible for «standardization» of this sequence. Your program gets the sequence, keyed by the user, as input. The program should output this sequence in format l1-r1,l2-r2,...,lk-rk, where ri + 1 < li + 1 for all i from 1 to k - 1, and li ≤ ri. The new sequence should contain all the page numbers, keyed by the user, and nothing else. If some page number appears in the input sequence several times, its appearances, starting from the second one, should be ignored. If for some element i from the new sequence li = ri, this element should be output as li, and not as «li - li».\n\nFor example, sequence 1,2,3,1,1,2,6,6,2 should be output as 1-3,6.\n\nInput\n\nThe only line contains the sequence, keyed by the user. The sequence contains at least one and at most 100 positive integer numbers. It's guaranteed, that this sequence consists of positive integer numbers, not exceeding 1000, separated with a comma, doesn't contain any other characters, apart from digits and commas, can't end with a comma, and the numbers don't contain leading zeroes. Also it doesn't start with a comma or contain more than one comma in a row.\n\nOutput\n\nOutput the sequence in the required format.\n\nExamples\n\nInput\n\n1,2,3,1,1,2,6,6,2\n\n\nOutput\n\n1-3,6\n\n\nInput\n\n3,2,1\n\n\nOutput\n\n1-3\n\n\nInput\n\n30,20,10\n\n\nOutput\n\n10,20,30"},"code":{"kind":"string","value":"import java.io.BufferedInputStream;\nimport java.util.ArrayList;\nimport java.util.Collections;\nimport java.util.Iterator;\nimport java.util.Scanner;\n\npublic class PageNumbers { //Round #34 - Page Numbers\n\tpublic static void main(String[] args) {\n\t\tScanner sc = new Scanner(new BufferedInputStream(System.in));\n\n\t\tString input = sc.next();\n\t\tString[] splitted = input.split(\",\");\n\n\t\tArrayList numbers = new ArrayList();\n\t\tfor(int i = 0; i < splitted.length; i++) {\n\t\t\tnumbers.add(Integer.valueOf(splitted[i]));\n\t\t}\n\n\t\tCollections.sort(numbers);\n\n\t\t//Remove duplicates\n\t\tint previousNum, num = Integer.MIN_VALUE;\n\t\tfor(Iterator it = numbers.iterator(); it.hasNext(); ) {\n\t\t\tpreviousNum = num;\n\t\t\tnum = it.next();\n\n\t\t\tif(num == previousNum) {\n\t\t\t\tit.remove();\n\t\t\t}\n\t\t}\n\n\t\tStringBuilder sb = new StringBuilder();\n\t\tint sequenceStartPos = 0;\n\t\tfor(int i = 1; i < numbers.size(); i++) {\n\t\t\tif(numbers.get(i) != numbers.get(i - 1) + 1) {\n\t\t\t\tif(sequenceStartPos == i - 1) {\n\t\t\t\t\tsb.append(numbers.get(i - 1) + \",\");\n\t\t\t\t} else {\n\t\t\t\t\tsb.append(numbers.get(sequenceStartPos) + \"-\" + numbers.get(i - 1) + \",\");\n\t\t\t\t}\n\n\t\t\t\tsequenceStartPos = i;\n\t\t\t} else if(i == numbers.size() - 1) {\n\t\t\t\tsb.append(numbers.get(sequenceStartPos) + \"-\" + numbers.get(i) + \",\");\n\t\t\t}\n\t\t}\n\n\t\t//Handle last number and when we only have one number in the array\n\t\tif(sequenceStartPos == numbers.size() - 1) {\n\t\t\tsb.append(numbers.get(sequenceStartPos));\n\t\t}\n\n\t\t//Handle the case where the whole array is a sequence\n\t\tif(sb.length() == 0) {\n\t\t\tsb.append(numbers.get(0) + \"-\" + numbers.get(numbers.size() - 1));\n\t\t}\n\n\t\tif(sb.toString().endsWith(\",\")) {\n\t\t\tSystem.out.println(sb.substring(0, sb.length() - 1));\n\t\t} else {\n\t\t\tSystem.out.println(sb);\n\t\t}\n\t}\n}\n"},"language":{"kind":"class label","value":"4","name":"JAVA"},"test_samples":{"kind":"string","value":"{\n \"input\": [\n \"30,20,10\\n\",\n \"3,2,1\\n\",\n \"1,2,3,1,1,2,6,6,2\\n\",\n \"511,32\\n\",\n \"684,698,429,694,956,812,594,170,937,764\\n\",\n \"744,359,230,586,944,442\\n\",\n \"37\\n\",\n \"996,999,998,984,989,1000,996,993,1000,983,992,999,999,1000,979,992,987,1000,996,1000,1000,989,981,996,995,999,999,989,999,1000\\n\",\n \"1000\\n\",\n \"2\\n\",\n \"93,27,28,4,5,78,59,24,19,134,31,128,118,36,90,32,32,1,44,32,33,13,31,10,12,25,38,50,25,12,4,22,28,53,48,83,4,25,57,31,71,24,8,7,28,86,23,80,101,58\\n\",\n \"646,840,437,946,640,564,936,917,487,752,844,734,468,969,674,646,728,642,514,695\\n\",\n \"4,24,6,1,15\\n\",\n \"303,872,764,401\\n\",\n \"48,108,63,21,27,8,49,21,75,8,24,42,149,18,8,28,21,18,25,35,59,70,59,33,40,1,67,34,120,82,4,115,72,87,3,15,15,63,37,12,40,27,83,14,38,20,14,58,93,10,31,3,39,6,197,77,54,16,31,146,9,49,14,8,77,82,5,11,80,116,8,61,50,24,7,103,29,11,3,3,1,12,46,24,21,131,39,29,36,2,107,40,16,99,31,41,29,48,17,17\\n\",\n \"31,75,86,68,111,27,22,22,26,30,54,163,107,75,160,122,14,23,17,26,27,20,43,58,59,71,21,148,9,32,43,91,133,286,132,70,90,156,84,14,77,93,23,18,13,72,18,131,33,28,72,175,30,86,249,20,14,208,28,57,63,199,6,10,24,30,62,267,43,479,60,28,138,1,45,3,19,47,7,166,116,117,50,140,28,14,95,85,93,43,61,15,2,70,10,51,7,95,9,25\\n\",\n \"1000,1000,1000,1000,1000,998,998,1000,1000,1000,1000,999,999,1000,1000,1000,999,1000,997,999,997,1000,999,998,1000,999,1000,1000,1000,999,1000,999,999,1000,1000,999,1000,999,1000,1000,998,1000,1000,1000,998,998,1000,1000,999,1000,1000,1000,1000,1000,1000,1000,998,1000,1000,1000,999,1000,1000,999,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,998,1000,1000,1000,998,1000,1000,998,1000,999,1000,1000,1000,1000\\n\",\n \"896,898,967,979,973,709,961,968,806,967,896,967,826,975,936,903,986,856,851,931,852,971,786,837,949,978,686,936,952,909,965,749,908,916,943,973,983,975,939,886,964,928,960,976,907,788,994,773,949,871,947,980,945,985,726,981,887,943,907,990,931,874,840,867,948,951,961,904,888,901,976,967,994,921,828,970,972,722,755,970,860,855,914,869,714,899,969,978,898,862,642,939,904,936,819,934,884,983,955,964\\n\",\n \"826,747,849,687,437\\n\",\n \"907,452,355\\n\",\n \"999\\n\",\n \"4,4,21,6,5,3,13,2,6,1,3,4,1,3,1,9,11,1,6,17,4,5,20,4,1,9,5,11,3,4,14,1,3,3,1,4,3,5,27,1,1,2,10,7,11,4,19,7,11,6,11,13,3,1,10,7,2,1,16,1,9,4,29,13,2,12,14,2,21,1,9,8,26,12,12,5,2,14,7,8,8,8,9,4,12,2,6,6,7,16,8,14,2,10,20,15,3,7,4\\n\",\n \"994,927,872,970,815,986,952,996,965,1000,877,986,978,999,950,990,936,997,993,960,921,860,895,869,943,998,983,968,973,953,999,990,995,871,853,979,973,963,953,938,997,989,993,964,960,973,946,975,1000,962,920,746,989,957,904,965,920,979,966,961,1000,993,975,952,846,971,991,979,985,969,984,973,956,1000,952,778,983,974,956,927,995,997,980,997,1000,970,960,970,988,983,947,904,935,972,1000,863,992,996,932,967\\n\",\n \"713,572,318,890,577,657,646,146,373,783,392,229,455,871,20,593,573,336,26,381,280,916,907,732,820,713,111,840,570,446,184,711,481,399,788,647,492,15,40,530,549,506,719,782,126,20,778,996,712,761,9,74,812,418,488,175,103,585,900,3,604,521,109,513,145,708,990,361,682,827,791,22,596,780,596,385,450,643,158,496,876,975,319,783,654,895,891,361,397,81,682,899,347,623,809,557,435,279,513,438\\n\",\n \"999,999,993,969,999\\n\",\n \"1\\n\",\n \"411,32\\n\",\n \"684,699,429,694,956,812,594,170,937,764\\n\",\n \"244,449,685,032,953,447\\n\",\n \"19\\n\",\n \"0001,999,989,999,999,599,699,189,989,0001,0001,699,0001,789,299,979,0001,999,999,299,389,0001,399,699,0001,989,489,899,999,699\\n\",\n \"3\\n\",\n \"596,415,246,827,646,476,969,864,437,448,257,784,719,639,465,046,649,734,048,646\\n\",\n \"3,24,6,1,15\\n\",\n \"31,75,86,78,111,27,22,22,26,30,54,163,107,75,160,122,14,23,17,26,27,20,43,58,59,71,21,148,9,32,43,91,133,286,132,70,90,156,84,14,77,93,23,18,13,72,18,131,33,28,72,175,30,86,249,20,14,208,28,57,63,199,6,10,24,30,62,267,43,479,60,28,138,1,45,3,19,47,7,166,116,117,50,140,28,14,95,85,93,43,61,15,2,70,10,51,7,95,9,25\\n\",\n \"734,786,948,747,628\\n\",\n \"907,352,355\\n\",\n \"550\\n\",\n \"4,4,21,6,5,3,13,2,6,1,3,4,1,3,1,9,11,1,6,17,4,5,20,4,1,9,6,11,3,4,14,1,3,3,1,4,3,5,27,1,1,2,10,7,11,4,19,7,11,6,11,13,3,1,10,7,2,1,16,1,9,4,29,13,2,12,14,2,21,1,9,8,26,12,12,5,2,14,7,8,8,8,9,4,12,2,6,6,7,16,8,14,2,10,20,15,3,7,4\\n\",\n \"713,572,318,890,577,657,646,146,373,783,392,229,455,871,20,593,573,336,26,381,280,916,907,732,820,713,111,840,570,446,184,711,481,399,788,647,492,15,40,530,549,506,719,782,126,20,778,996,712,761,9,74,812,418,488,175,103,585,900,3,604,521,509,513,145,708,990,361,682,827,791,22,596,780,596,385,450,643,118,496,876,975,319,783,654,895,891,361,397,81,682,899,347,623,809,557,435,279,513,438\\n\",\n \"999,999,983,969,999\\n\",\n \"30,10,10\\n\",\n \"114,32\\n\",\n \"684,699,429,694,956,811,594,170,937,764\\n\",\n \"244,449,685,032,953,457\\n\",\n \"30\\n\",\n \"0001,999,989,999,999,599,699,189,989,0001,0001,699,0001,789,299,979,0001,999,999,299,489,0001,399,699,0001,989,489,899,999,699\\n\",\n \"566,415,246,827,646,476,969,864,437,448,257,784,719,939,465,046,649,734,048,646\\n\",\n \"3,24,6,1,16\\n\",\n \"553,253,709\\n\",\n \"730\\n\",\n \"01,01,03\\n\",\n \"114,42\\n\",\n \"684,699,429,694,856,911,594,170,937,764\\n\",\n \"43\\n\",\n \"0001,999,989,999,999,599,699,189,989,0001,0101,699,0001,789,299,979,0001,999,999,299,489,0001,399,699,0001,989,489,899,999,699\\n\",\n \"566,415,246,824,646,476,969,864,437,448,257,784,719,939,465,046,649,737,048,646\\n\",\n \"553,253,609\\n\",\n \"01,01,13\\n\",\n \"684,699,429,694,856,911,594,170,837,764\\n\",\n \"78\\n\",\n \"0001,999,989,999,999,699,699,189,989,0001,0101,699,0001,789,299,979,0001,999,999,299,489,0001,399,699,0001,989,489,899,999,699\\n\",\n \"646,840,737,946,640,564,939,917,487,752,844,734,468,969,674,646,428,642,514,665\\n\",\n \"553,252,609\\n\",\n \"467,738,071,495,119,658,496,924,996,486\\n\",\n \"85\\n\",\n \"646,840,737,946,640,564,939,817,487,752,844,734,468,969,674,646,428,642,514,665\\n\",\n \"555,232,609\\n\",\n \"467,738,671,495,119,658,490,924,996,486\\n\",\n \"99\\n\",\n \"545,232,609\\n\",\n \"467,738,672,495,119,658,490,924,996,486\\n\",\n \"61\\n\",\n \"906,232,545\\n\",\n \"684,699,429,094,856,911,594,276,837,764\\n\",\n \"93\\n\",\n \"906,132,545\\n\",\n \"49\\n\",\n \"545,231,609\\n\",\n \"97\\n\",\n \"546,231,609\\n\",\n \"511,31\\n\",\n \"684,698,429,694,956,812,594,160,937,764\\n\",\n \"744,359,234,586,940,442\\n\",\n \"69\\n\",\n \"646,840,437,946,640,564,936,917,587,752,844,734,468,969,674,646,728,642,514,695\\n\",\n \"0001,0001,0001,0001,999,0001,899,0001,0001,899,0001,0001,0001,899,0001,0001,0001,0001,0001,0001,0001,0001,0001,0001,999,0001,0001,999,0001,0001,0001,899,0001,0001,0001,0001,0001,0001,0001,999,0001,0001,899,899,0001,0001,0001,899,0001,0001,999,0001,999,0001,0001,999,999,0001,999,0001,0001,0001,999,0001,899,999,0001,799,999,799,0001,999,0001,0001,0001,999,999,0001,0001,0001,0001,899,899,0001,0001,0001,0001,0001\\n\",\n \"469,559,389,488,439,918,639,409,939,246,268,898,879,969,998,417,968,419,558,068,079,557,227,279,079,828,129,499,769,679,109,888,409,169,159,849,768,048,478,139,099,709,349,788,189,627,589,549,089,749,178,949,377,499,887,709,679,069,829,469,688,939,579,389,379,349,619,809,947,569,909,259,639,686,879,949,738,687,179,258,139,158,658,689,309,639,579,628,769,698,769,608,869,169,907,379,979,769,898,698\\n\",\n \"907,453,355\\n\",\n \"994,927,872,970,815,986,952,996,965,1000,877,986,978,999,950,990,936,997,993,960,920,860,895,869,943,998,983,968,973,953,999,990,995,871,853,979,973,963,953,938,997,989,993,964,960,973,946,975,1000,962,920,746,989,957,904,965,920,979,966,961,1000,993,975,952,846,971,991,979,985,969,984,973,956,1000,952,778,983,974,956,927,995,997,980,997,1000,970,960,970,988,983,947,904,935,972,1000,863,992,996,932,967\\n\",\n \"999,989,993,969,999\\n\",\n \"01,02,03\\n\",\n \"410,32\\n\",\n \"684,699,429,694,956,812,594,070,937,764\\n\",\n \"744,359,230,576,944,442\\n\",\n \"5\\n\",\n \"7\\n\",\n \"598,415,246,827,646,476,969,864,437,448,257,764,719,639,465,046,649,734,048,646\\n\",\n \"51,1,6,42,3\\n\",\n \"826,747,849,786,437\\n\",\n \"907,342,355\\n\",\n \"500\\n\",\n \"4,4,21,6,5,3,13,2,6,1,3,4,1,3,1,9,11,1,6,17,4,5,20,4,1,9,6,11,3,4,14,1,3,3,1,4,3,5,27,1,1,2,10,7,11,4,19,7,11,6,11,13,3,1,10,7,2,1,16,1,9,4,29,13,2,12,24,2,21,1,9,8,26,12,12,5,2,14,7,8,8,8,9,4,12,2,6,6,7,16,8,14,2,10,20,15,3,7,4\\n\",\n \"996,999,983,999,999\\n\",\n \"114,24\\n\",\n \"244,449,686,032,953,457\\n\",\n \"54\\n\",\n \"566,415,246,827,646,476,969,864,437,448,257,784,719,939,465,046,649,734,048,746\\n\",\n \"3,14,6,1,16\\n\",\n \"557,253,309\\n\",\n \"419\\n\",\n \"01,11,03\\n\",\n \"684,699,429,694,856,911,594,270,937,764\\n\",\n \"22\\n\",\n \"0001,999,989,999,999,599,699,189,988,0001,0101,699,0001,789,299,979,0001,999,999,299,489,0001,399,699,0001,989,489,899,999,699\\n\",\n \"966,415,246,824,646,476,969,864,437,448,257,784,719,939,465,046,645,737,048,646\\n\",\n \"684,699,429,694,855,911,594,170,837,764\\n\",\n \"104\\n\",\n \"553,252,690\\n\",\n \"684,699,429,694,856,911,594,170,837,763\\n\",\n \"36\\n\",\n \"566,415,246,824,646,476,969,864,437,448,257,784,718,939,465,046,649,737,048,646\\n\",\n \"555,230,629\\n\",\n \"684,699,429,094,856,911,594,176,837,764\\n\",\n \"84\\n\",\n \"906,032,545\\n\"\n ],\n \"output\": [\n \"10,20,30\",\n \"1-3\",\n \"1-3,6\",\n \"32,511\",\n \"170,429,594,684,694,698,764,812,937,956\",\n \"230,359,442,586,744,944\",\n \"37\",\n \"979,981,983-984,987,989,992-993,995-996,998-1000\",\n \"1000\",\n \"2\",\n \"1,4-5,7-8,10,12-13,19,22-25,27-28,31-33,36,38,44,48,50,53,57-59,71,78,80,83,86,90,93,101,118,128,134\",\n \"437,468,487,514,564,640,642,646,674,695,728,734,752,840,844,917,936,946,969\",\n \"1,4,6,15,24\",\n \"303,401,764,872\",\n \"1-12,14-18,20-21,24-25,27-29,31,33-42,46,48-50,54,58-59,61,63,67,70,72,75,77,80,82-83,87,93,99,103,107-108,115-116,120,131,146,149,197\",\n \"1-3,6-7,9-10,13-15,17-28,30-33,43,45,47,50-51,54,57-63,68,70-72,75,77,84-86,90-91,93,95,107,111,116-117,122,131-133,138,140,148,156,160,163,166,175,199,208,249,267,286,479\",\n \"997-1000\",\n \"642,686,709,714,722,726,749,755,773,786,788,806,819,826,828,837,840,851-852,855-856,860,862,867,869,871,874,884,886-888,896,898-899,901,903-904,907-909,914,916,921,928,931,934,936,939,943,945,947-949,951-952,955,960-961,964-965,967-973,975-976,978-981,983,985-986,990,994\",\n \"437,687,747,826,849\",\n \"355,452,907\",\n \"999\",\n \"1-17,19-21,26-27,29\",\n \"746,778,815,846,853,860,863,869,871-872,877,895,904,920-921,927,932,935-936,938,943,946-947,950,952-953,956-957,960-975,978-980,983-986,988-1000\",\n \"3,9,15,20,22,26,40,74,81,103,109,111,126,145-146,158,175,184,229,279-280,318-319,336,347,361,373,381,385,392,397,399,418,435,438,446,450,455,481,488,492,496,506,513,521,530,549,557,570,572-573,577,585,593,596,604,623,643,646-647,654,657,682,708,711-713,719,732,761,778,780,782-783,788,791,809,812,820,827,840,871,876,890-891,895,899-900,907,916,975,990,996\",\n \"969,993,999\",\n \"1\",\n \"32,411\\n\",\n \"170,429,594,684,694,699,764,812,937,956\\n\",\n \"32,244,447,449,685,953\\n\",\n \"19\\n\",\n \"1,189,299,389,399,489,599,699,789,899,979,989,999\\n\",\n \"3\\n\",\n \"46,48,246,257,415,437,448,465,476,596,639,646,649,719,734,784,827,864,969\\n\",\n \"1,3,6,15,24\\n\",\n \"1-3,6-7,9-10,13-15,17-28,30-33,43,45,47,50-51,54,57-63,70-72,75,77-78,84-86,90-91,93,95,107,111,116-117,122,131-133,138,140,148,156,160,163,166,175,199,208,249,267,286,479\\n\",\n \"628,734,747,786,948\\n\",\n \"352,355,907\\n\",\n \"550\\n\",\n \"1-17,19-21,26-27,29\\n\",\n \"3,9,15,20,22,26,40,74,81,103,111,118,126,145-146,175,184,229,279-280,318-319,336,347,361,373,381,385,392,397,399,418,435,438,446,450,455,481,488,492,496,506,509,513,521,530,549,557,570,572-573,577,585,593,596,604,623,643,646-647,654,657,682,708,711-713,719,732,761,778,780,782-783,788,791,809,812,820,827,840,871,876,890-891,895,899-900,907,916,975,990,996\\n\",\n \"969,983,999\\n\",\n \"10,30\\n\",\n \"32,114\\n\",\n \"170,429,594,684,694,699,764,811,937,956\\n\",\n \"32,244,449,457,685,953\\n\",\n \"30\\n\",\n \"1,189,299,399,489,599,699,789,899,979,989,999\\n\",\n \"46,48,246,257,415,437,448,465,476,566,646,649,719,734,784,827,864,939,969\\n\",\n \"1,3,6,16,24\\n\",\n \"253,553,709\\n\",\n \"730\\n\",\n \"1,3\\n\",\n \"42,114\\n\",\n \"170,429,594,684,694,699,764,856,911,937\\n\",\n \"43\\n\",\n \"1,101,189,299,399,489,599,699,789,899,979,989,999\\n\",\n \"46,48,246,257,415,437,448,465,476,566,646,649,719,737,784,824,864,939,969\\n\",\n \"253,553,609\\n\",\n \"1,13\\n\",\n \"170,429,594,684,694,699,764,837,856,911\\n\",\n \"78\\n\",\n \"1,101,189,299,399,489,699,789,899,979,989,999\\n\",\n \"428,468,487,514,564,640,642,646,665,674,734,737,752,840,844,917,939,946,969\\n\",\n \"252,553,609\\n\",\n \"71,119,467,486,495-496,658,738,924,996\\n\",\n \"85\\n\",\n \"428,468,487,514,564,640,642,646,665,674,734,737,752,817,840,844,939,946,969\\n\",\n \"232,555,609\\n\",\n \"119,467,486,490,495,658,671,738,924,996\\n\",\n \"99\\n\",\n \"232,545,609\\n\",\n \"119,467,486,490,495,658,672,738,924,996\\n\",\n \"61\\n\",\n \"232,545,906\\n\",\n \"94,276,429,594,684,699,764,837,856,911\\n\",\n \"93\\n\",\n \"132,545,906\\n\",\n \"49\\n\",\n \"231,545,609\\n\",\n \"97\\n\",\n \"231,546,609\\n\",\n \"31,511\\n\",\n \"160,429,594,684,694,698,764,812,937,956\\n\",\n \"234,359,442,586,744,940\\n\",\n \"69\\n\",\n \"437,468,514,564,587,640,642,646,674,695,728,734,752,840,844,917,936,946,969\\n\",\n \"1,799,899,999\\n\",\n \"48,68-69,79,89,99,109,129,139,158-159,169,178-179,189,227,246,258-259,268,279,309,349,377,379,389,409,417,419,439,469,478,488,499,549,557-559,569,579,589,608,619,627-628,639,658,679,686-689,698,709,738,749,768-769,788,809,828-829,849,869,879,887-888,898,907,909,918,939,947,949,968-969,979,998\\n\",\n \"355,453,907\\n\",\n \"746,778,815,846,853,860,863,869,871-872,877,895,904,920,927,932,935-936,938,943,946-947,950,952-953,956-957,960-975,978-980,983-986,988-1000\\n\",\n \"969,989,993,999\\n\",\n \"1-3\\n\",\n \"32,410\\n\",\n \"70,429,594,684,694,699,764,812,937,956\\n\",\n \"230,359,442,576,744,944\\n\",\n \"5\\n\",\n \"7\\n\",\n \"46,48,246,257,415,437,448,465,476,598,639,646,649,719,734,764,827,864,969\\n\",\n \"1,3,6,42,51\\n\",\n \"437,747,786,826,849\\n\",\n \"342,355,907\\n\",\n \"500\\n\",\n \"1-17,19-21,24,26-27,29\\n\",\n \"983,996,999\\n\",\n \"24,114\\n\",\n \"32,244,449,457,686,953\\n\",\n \"54\\n\",\n \"46,48,246,257,415,437,448,465,476,566,646,649,719,734,746,784,827,864,939,969\\n\",\n \"1,3,6,14,16\\n\",\n \"253,309,557\\n\",\n \"419\\n\",\n \"1,3,11\\n\",\n \"270,429,594,684,694,699,764,856,911,937\\n\",\n \"22\\n\",\n \"1,101,189,299,399,489,599,699,789,899,979,988-989,999\\n\",\n \"46,48,246,257,415,437,448,465,476,645-646,719,737,784,824,864,939,966,969\\n\",\n \"170,429,594,684,694,699,764,837,855,911\\n\",\n \"104\\n\",\n \"252,553,690\\n\",\n \"170,429,594,684,694,699,763,837,856,911\\n\",\n \"36\\n\",\n \"46,48,246,257,415,437,448,465,476,566,646,649,718,737,784,824,864,939,969\\n\",\n \"230,555,629\\n\",\n \"94,176,429,594,684,699,764,837,856,911\\n\",\n \"84\\n\",\n \"32,545,906\\n\"\n ]\n}"},"source":{"kind":"class label","value":"2","name":"CODEFORCES"}}},{"rowIdx":38259,"cells":{"id":{"kind":"string","value":"373_D. Counting Rectangles is Fun_38259"},"description":{"kind":"string","value":"There is an n × m rectangular grid, each cell of the grid contains a single integer: zero or one. Let's call the cell on the i-th row and the j-th column as (i, j).\n\nLet's define a \"rectangle\" as four integers a, b, c, d (1 ≤ a ≤ c ≤ n; 1 ≤ b ≤ d ≤ m). Rectangle denotes a set of cells of the grid {(x, y) : a ≤ x ≤ c, b ≤ y ≤ d}. Let's define a \"good rectangle\" as a rectangle that includes only the cells with zeros.\n\nYou should answer the following q queries: calculate the number of good rectangles all of which cells are in the given rectangle.\n\nInput\n\nThere are three integers in the first line: n, m and q (1 ≤ n, m ≤ 40, 1 ≤ q ≤ 3·105). Each of the next n lines contains m characters — the grid. Consider grid rows are numbered from top to bottom, and grid columns are numbered from left to right. Both columns and rows are numbered starting from 1. \n\nEach of the next q lines contains a query — four integers that describe the current rectangle, a, b, c, d (1 ≤ a ≤ c ≤ n; 1 ≤ b ≤ d ≤ m).\n\nOutput\n\nFor each query output an answer — a single integer in a separate line.\n\nExamples\n\nInput\n\n5 5 5\n00101\n00000\n00001\n01000\n00001\n1 2 2 4\n4 5 4 5\n1 2 5 2\n2 2 4 5\n4 2 5 3\n\n\nOutput\n\n10\n1\n7\n34\n5\n\n\nInput\n\n4 7 5\n0000100\n0000010\n0011000\n0000000\n1 7 2 7\n3 1 3 1\n2 3 4 5\n1 2 2 7\n2 2 4 7\n\n\nOutput\n\n3\n1\n16\n27\n52\n\nNote\n\nFor the first example, there is a 5 × 5 rectangular grid, and the first, the second, and the third queries are represented in the following image.\n\n\n\n * For the first query, there are 10 good rectangles, five 1 × 1, two 2 × 1, two 1 × 2, and one 1 × 3. \n * For the second query, there is only one 1 × 1 good rectangle. \n * For the third query, there are 7 good rectangles, four 1 × 1, two 2 × 1, and one 3 × 1. "},"code":{"kind":"string","value":"#include \nusing namespace std;\nbool a[41][41];\nlong long d[41][41][41][41];\nlong long cld[41][41][41][41];\nint cldh[41][41][41][41];\nint lines_x[41][41];\nint lines_y[41][41];\nvoid print(int w, int e, int n, int m) {\n for (int i = 0; i < n; ++i) {\n for (int j = 0; j < m; ++j) {\n printf(\"%d \", d[w][e][i][j]);\n }\n printf(\"\\n\");\n }\n}\nint main() {\n int n, m, q;\n scanf(\"%d %d %d\\n\", &n, &m, &q);\n char ch;\n for (int i = 0; i < n; ++i) {\n for (int j = 0; j < m; ++j) {\n scanf(\"%c\", &(ch));\n a[i][j] = ch == '0';\n }\n scanf(\"%c\", &(ch));\n }\n for (int i = 0; i < n; ++i) {\n lines_x[i][0] = a[i][0] ? 1 : 0;\n for (int j = 1; j < m; ++j) {\n if (!a[i][j])\n lines_x[i][j] = 0;\n else\n lines_x[i][j] = lines_x[i][j - 1] + 1;\n }\n }\n for (int j = 0; j < m; ++j) {\n lines_y[0][j] = a[0][j] ? 1 : 0;\n for (int i = 1; i < n; ++i) {\n if (!a[i][j])\n lines_y[i][j] = 0;\n else\n lines_y[i][j] = lines_y[i - 1][j] + 1;\n }\n }\n for (int h = 0; h < n; ++h) {\n for (int w = 0; w < m; ++w) {\n for (int i = n - h - 1; i >= 0; --i) {\n for (int j = m - w - 1; j >= 0; --j) {\n if (h == 0 && w == 0) {\n d[i][j][h][w] = a[i][j];\n cld[i][j][h][w] = a[i][j];\n cldh[i][j][h][w] = a[i][j];\n } else {\n long long c1 = h > 0 ? d[i][j][h - 1][w] : 0;\n long long c2 = w > 0 ? d[i][j][h][w - 1] : 0;\n long long c3 = w > 0 && h > 0 ? d[i][j][h - 1][w - 1] : 0;\n if (!a[i + h][j + w]) {\n d[i][j][h][w] = c1 + c2 - c3;\n cld[i][j][h][w] = 0;\n } else {\n long long cy = max(min(lines_y[i + h][j + w] - 1, h), 0) + 1;\n long long c4 = cy;\n if (w > 0) {\n if (cy < cldh[i][j][h][w - 1]) {\n c4 += cld[i + h - cy + 1][j][cy - 1][w - 1];\n } else\n c4 += cld[i][j][h][w - 1];\n }\n cldh[i][j][h][w] = cy;\n cld[i][j][h][w] = c4;\n d[i][j][h][w] = c1 + c2 - c3 + c4;\n }\n }\n }\n }\n }\n }\n int x1, y1, x2, y2;\n for (int t = 0; t < q; ++t) {\n scanf(\"%d %d %d %d\", &x1, &y1, &x2, &y2);\n x1 -= 1, y1 -= 1, x2 -= 1, y2 -= 1;\n printf(\"%I64d\\n\", d[x1][y1][x2 - x1][y2 - y1]);\n }\n return 0;\n}\n"},"language":{"kind":"class label","value":"2","name":"C++"},"test_samples":{"kind":"string","value":"{\n \"input\": [\n \"5 5 5\\n00101\\n00000\\n00001\\n01000\\n00001\\n1 2 2 4\\n4 5 4 5\\n1 2 5 2\\n2 2 4 5\\n4 2 5 3\\n\",\n \"4 7 5\\n0000100\\n0000010\\n0011000\\n0000000\\n1 7 2 7\\n3 1 3 1\\n2 3 4 5\\n1 2 2 7\\n2 2 4 7\\n\",\n \"2 3 8\\n000\\n001\\n1 1 2 2\\n1 3 2 3\\n2 2 2 3\\n1 1 2 2\\n2 3 2 3\\n2 1 2 2\\n1 2 1 3\\n1 2 2 2\\n\",\n \"10 10 10\\n0010001010\\n0011011010\\n0100001110\\n0010100000\\n0000100011\\n0100000001\\n0000010100\\n1000000010\\n0000010000\\n0110010000\\n1 1 4 6\\n2 6 3 10\\n1 6 3 9\\n6 5 8 5\\n2 3 6 8\\n4 7 5 8\\n3 1 9 5\\n2 5 4 10\\n2 3 3 6\\n7 4 9 5\\n\",\n \"10 10 10\\n0001000111\\n1101000111\\n1100101111\\n1011101011\\n1011110101\\n1110101110\\n1101101111\\n1111111100\\n0110101110\\n1011101011\\n6 3 7 9\\n2 6 8 7\\n9 7 10 8\\n3 1 5 9\\n1 6 9 10\\n6 3 8 8\\n1 6 9 10\\n5 6 8 10\\n8 8 10 8\\n9 6 9 10\\n\",\n \"3 2 8\\n01\\n00\\n00\\n3 2 3 2\\n1 1 2 1\\n2 1 3 1\\n2 2 3 2\\n1 1 2 2\\n1 1 1 2\\n1 1 3 1\\n1 1 2 2\\n\",\n \"10 10 10\\n0010001010\\n0011011010\\n0100001110\\n0010100000\\n0000100111\\n0100000001\\n0000010100\\n1000000010\\n0000010000\\n0110010000\\n1 1 4 6\\n2 6 3 10\\n1 6 3 9\\n6 5 8 5\\n2 3 6 8\\n4 7 5 8\\n3 1 9 5\\n2 5 4 10\\n2 3 3 6\\n7 4 9 5\\n\",\n \"5 5 5\\n00101\\n00000\\n00001\\n01000\\n01001\\n1 2 2 4\\n4 5 4 5\\n1 2 5 2\\n2 2 4 5\\n4 2 5 3\\n\",\n \"4 7 5\\n0000100\\n0000010\\n0011000\\n0000000\\n1 7 2 7\\n3 1 3 1\\n2 5 4 5\\n1 2 2 7\\n2 2 4 7\\n\",\n \"4 7 5\\n0000100\\n0000010\\n0011000\\n0000000\\n1 7 2 7\\n3 1 3 1\\n4 5 4 5\\n1 2 2 7\\n2 2 4 7\\n\",\n \"10 10 10\\n0010001011\\n0011011010\\n0100001110\\n0010100000\\n0000100111\\n0100000001\\n0000010100\\n1000000010\\n0000010000\\n0110010000\\n1 1 4 6\\n2 6 3 10\\n1 6 3 9\\n6 5 8 5\\n2 3 6 8\\n4 7 5 8\\n3 2 9 5\\n2 5 4 10\\n2 3 3 6\\n7 4 9 5\\n\",\n \"5 5 5\\n00101\\n00000\\n00001\\n01000\\n01001\\n1 2 2 4\\n4 5 4 5\\n1 2 4 2\\n2 2 4 5\\n3 2 5 3\\n\",\n \"4 7 5\\n0000100\\n0000010\\n0011000\\n0000100\\n1 7 2 7\\n3 1 3 1\\n4 5 4 5\\n1 2 2 7\\n2 2 4 7\\n\",\n \"5 5 5\\n00101\\n00000\\n00001\\n01000\\n01001\\n1 2 2 4\\n4 5 4 5\\n2 2 4 2\\n2 2 4 5\\n3 2 5 3\\n\",\n \"2 3 8\\n000\\n001\\n1 1 2 2\\n1 3 2 3\\n2 2 2 3\\n1 1 2 2\\n2 3 2 3\\n2 1 2 2\\n1 2 1 3\\n1 2 2 3\\n\",\n \"10 10 10\\n0010001010\\n1011011010\\n0100001110\\n0010100000\\n0000100011\\n0100000001\\n0000010100\\n1000000010\\n0000010000\\n0110010000\\n1 1 4 6\\n2 6 3 10\\n1 6 3 9\\n6 5 8 5\\n2 3 6 8\\n4 7 5 8\\n3 1 9 5\\n2 5 4 10\\n2 3 3 6\\n7 4 9 5\\n\",\n \"10 10 10\\n0001000111\\n1101000111\\n1100101111\\n1011101011\\n1011110101\\n1110101110\\n1101101111\\n1111111100\\n0110101110\\n1011101011\\n6 3 7 9\\n2 6 8 7\\n9 7 10 8\\n3 1 5 9\\n1 3 9 10\\n6 3 8 8\\n1 6 9 10\\n5 6 8 10\\n8 8 10 8\\n9 6 9 10\\n\",\n \"5 5 5\\n00101\\n10000\\n00001\\n01000\\n00001\\n1 2 2 4\\n4 5 4 5\\n1 2 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label","value":"2","name":"CODEFORCES"}}},{"rowIdx":38260,"cells":{"id":{"kind":"string","value":"373_D. Counting Rectangles is Fun_38260"},"description":{"kind":"string","value":"There is an n × m rectangular grid, each cell of the grid contains a single integer: zero or one. Let's call the cell on the i-th row and the j-th column as (i, j).\n\nLet's define a \"rectangle\" as four integers a, b, c, d (1 ≤ a ≤ c ≤ n; 1 ≤ b ≤ d ≤ m). Rectangle denotes a set of cells of the grid {(x, y) : a ≤ x ≤ c, b ≤ y ≤ d}. Let's define a \"good rectangle\" as a rectangle that includes only the cells with zeros.\n\nYou should answer the following q queries: calculate the number of good rectangles all of which cells are in the given rectangle.\n\nInput\n\nThere are three integers in the first line: n, m and q (1 ≤ n, m ≤ 40, 1 ≤ q ≤ 3·105). Each of the next n lines contains m characters — the grid. Consider grid rows are numbered from top to bottom, and grid columns are numbered from left to right. Both columns and rows are numbered starting from 1. \n\nEach of the next q lines contains a query — four integers that describe the current rectangle, a, b, c, d (1 ≤ a ≤ c ≤ n; 1 ≤ b ≤ d ≤ m).\n\nOutput\n\nFor each query output an answer — a single integer in a separate line.\n\nExamples\n\nInput\n\n5 5 5\n00101\n00000\n00001\n01000\n00001\n1 2 2 4\n4 5 4 5\n1 2 5 2\n2 2 4 5\n4 2 5 3\n\n\nOutput\n\n10\n1\n7\n34\n5\n\n\nInput\n\n4 7 5\n0000100\n0000010\n0011000\n0000000\n1 7 2 7\n3 1 3 1\n2 3 4 5\n1 2 2 7\n2 2 4 7\n\n\nOutput\n\n3\n1\n16\n27\n52\n\nNote\n\nFor the first example, there is a 5 × 5 rectangular grid, and the first, the second, and the third queries are represented in the following image.\n\n\n\n * For the first query, there are 10 good rectangles, five 1 × 1, two 2 × 1, two 1 × 2, and one 1 × 3. \n * For the second query, there is only one 1 × 1 good rectangle. \n * For the third query, there are 7 good rectangles, four 1 × 1, two 2 × 1, and one 3 × 1. "},"code":{"kind":"string","value":"\n\n\nimport java.io.*;\nimport java.util.*;\nimport java.math.*;\n\nimport static java.lang.Math.*;\nimport static java.lang.Integer.*;\nimport static java.lang.Long.*;\n\n\n\n\npublic class D219new {\n\tint INF = Integer.MAX_VALUE / 100;\n\tstatic Scanner sc = null;\n\tstatic BufferedReader br = null;\n\tstatic PrintStream out = null;\n\tstatic BufferedWriter bw = null;\n\tint N = 0;\n\t\n\tpublic void solve() throws Exception{\n\t\tint[] tm = nextInts();\n\t\tint n = tm[0];\n\t\tint m = tm[1];\n\t\tint Q = tm[2];\n\t\n\t\tboolean[][] d = new boolean[n][m];\n\t\tfor(int i = 0; i < n; i++){\n\t\t\tString s = nextS();\n\t\t\tfor(int j = 0; j < m; j++){\n\t\t\t\tchar c = s.charAt(j);\n\t\t\t\tif(c == '0'){\n\t\t\t\t\td[i][j] = true;\n\t\t\t\t}\n\t\t\t}\n\t\t}\n\t\tboolean[][][][] f = new boolean[n][m][n][m];\n\t\tfor(int i = 0; i < n; i++){\n\t\t\tfor(int j = 0; j < m; j++){\n\t\t\t\tif(d[i][j]){\n\t\t\t\t\tint r = i;\n\t\t\t\t\tfor(int k = j; k < m; k++){\n\t\t\t\t\t\tif(d[i][k]){\n\t\t\t\t\t\t\tr = k;\n\t\t\t\t\t\t\tf[i][j][i][k] = true;\n\t\t\t\t\t\t}\n\t\t\t\t\t\telse{\n\t\t\t\t\t\t\tbreak;\n\t\t\t\t\t\t}\n\t\t\t\t\t}\n\t\t\t\t\tfor(int k = i; k < n; k++){\n\t\t\t\t\t\tif(!d[k][j]){\n\t\t\t\t\t\t\tbreak;\n\t\t\t\t\t\t}\n\t\t\t\t\t\tfor(int p = j; p <= r; p++){\n\t\t\t\t\t\t\tif(d[k][p]){\n\t\t\t\t\t\t\t\tf[i][j][k][p] = true;\n\t\t\t\t\t\t\t}\n\t\t\t\t\t\t\telse{\n\t\t\t\t\t\t\t\tr = p-1;\n\t\t\t\t\t\t\t\tbreak;\n\t\t\t\t\t\t\t}\n\t\t\t\t\t\t}\n\t\t\t\t\t}\n\t\t\t\t}\n\t\t\t}\n\t\t}\n\t\tint[][][][] fwd = new int[n][m][n][m];\n\t\tfor(int i = 0; i < n; i++){\n\t\t\tfor(int j = 0; j < m; j++){\n\t\t\t\tfor(int k = i; k < n; k++){\n\t\t\t\t\tfor(int p = j; p < m; p++){\n\t\t\t\t\t\tif(f[i][j][k][p]){\n\t\t\t\t\t\t\tfwd[i][j][k][p]++;\n\t\t\t\t\t\t}\n\t\t\t\t\t\tif(k > i && p > j){\n\t\t\t\t\t\t\tfwd[i][j][k][p] += fwd[i][j][k-1][p] + fwd[i][j][k][p-1] - fwd[i][j][k-1][p-1];\n\t\t\t\t\t\t}\n\t\t\t\t\t\telse if(k > i){\n\t\t\t\t\t\t\tfwd[i][j][k][p] += fwd[i][j][k-1][p];\n\t\t\t\t\t\t}\n\t\t\t\t\t\telse if(p > j){\n\t\t\t\t\t\t\tfwd[i][j][k][p] += fwd[i][j][k][p-1];\n\t\t\t\t\t\t}\n\t\t\t\t\t}\n\t\t\t\t}\n\t\t\t}\n\t\t}\n\t\tint[][][][] dp = new int[n][m][n][m];\n\t\tfor(int i = n-1; i >= 0; i--){\n\t\t\tfor(int j = m-1; j >= 0; j--){\n\t\t\t\tfor(int k = i; k >= 0; k--){\n\t\t\t\t\tfor(int p = j; p >= 0; p--){\n\t\t\t\t\t\tdp[k][p][i][j] += fwd[k][p][i][j];\n\t\t\t\t\t\tif(k < i && p < j ){\n\t\t\t\t\t\t\tdp[k][p][i][j] += dp[k+1][p][i][j] + dp[k][p+1][i][j] - dp[k+1][p+1][i][j];\n\t\t\t\t\t\t}\n\t\t\t\t\t\telse if(k < i){\n\t\t\t\t\t\t\tdp[k][p][i][j] += dp[k+1][p][i][j];\n\t\t\t\t\t\t}\n\t\t\t\t\t\telse if(p < j){\n\t\t\t\t\t\t\tdp[k][p][i][j] += dp[k][p+1][i][j];\n\t\t\t\t\t\t}\n\t\t\t\t\t}\n\t\t\t\t}\n\t\t\t}\n\t\t}\n\t\tfor(int q = 0; q < Q; q++){\n\t\t\ttm = nextInts();\n\t\t\tint i = tm[0]-1;\n\t\t\tint j = tm[1]-1;\n\t\t\tint k = tm[2]-1;\n\t\t\tint p = tm[3]-1;\n\t\t\tout.println(dp[i][j][k][p]);\n\t\t\t\n\t\t}\n\t\t\n\t}\n\t\n\n public int[] readIntArray(int n) {\n int[] ret = new int[n];\n for (int i = 0; i < n; i++) {\n ret[i] = sc.nextInt();\n }\n return ret;\n }\n \n private String nextS() throws IOException{\n\t\tString s = br.readLine();\n\t\treturn s;\n\t}\n\n\tprivate int nextInt() throws IOException{\n\t\tString s = br.readLine();\n\t\treturn parseInt(s);\n\t}\n\t\n\tprivate long nextLong() throws IOException{\n\t\tString s = br.readLine();\n\t\treturn parseLong(s);\n\t}\n\t\n\tprivate int[] nextInts() throws IOException{\n\t\tString s = br.readLine();\n\t\tString[] sp = s.split(\" \");\n\t\tint[] r = new int[sp.length];\n\t\tfor(int i = 0;i < sp.length; i++){\n\t\t\tr[i] = parseInt(sp[i]);\n\t\t}\n\t\treturn r;\n\t}\n\t\n\tprivate long[] nextLongs() throws IOException{\n\t\tString s = br.readLine();\n\t\tString[] sp = s.split(\" \");\n\t\tlong[] r = new long[sp.length];\n\t\tfor(int i = 0;i < sp.length; i++){\n\t\t\tr[i] = parseLong(sp[i]);\n\t\t}\n\t\treturn r;\n\t}\n \n\t/**\n\t * @param args\n\t */\n\tpublic static void main(String[] args) throws Exception{\n\t\tFile file = new File(\"input.txt\");\n\t\tif(file.exists()){\n\t\t\tSystem.setIn(new BufferedInputStream(new FileInputStream(\"input.txt\")));\n\t\t}\n\t\tout = System.out;\n\t\tbw = new BufferedWriter(new PrintWriter(out));\n\t\t//sc = new Scanner(System.in);\n\t\tbr = new BufferedReader(new InputStreamReader(System.in));\n\t\tD219new t = new D219new();\n\t\tt.solve();\n\t\tbw.close();\n\t}\n\n}\n"},"language":{"kind":"class label","value":"4","name":"JAVA"},"test_samples":{"kind":"string","value":"{\n \"input\": [\n \"5 5 5\\n00101\\n00000\\n00001\\n01000\\n00001\\n1 2 2 4\\n4 5 4 5\\n1 2 5 2\\n2 2 4 5\\n4 2 5 3\\n\",\n \"4 7 5\\n0000100\\n0000010\\n0011000\\n0000000\\n1 7 2 7\\n3 1 3 1\\n2 3 4 5\\n1 2 2 7\\n2 2 4 7\\n\",\n \"2 3 8\\n000\\n001\\n1 1 2 2\\n1 3 2 3\\n2 2 2 3\\n1 1 2 2\\n2 3 2 3\\n2 1 2 2\\n1 2 1 3\\n1 2 2 2\\n\",\n \"10 10 10\\n0010001010\\n0011011010\\n0100001110\\n0010100000\\n0000100011\\n0100000001\\n0000010100\\n1000000010\\n0000010000\\n0110010000\\n1 1 4 6\\n2 6 3 10\\n1 6 3 9\\n6 5 8 5\\n2 3 6 8\\n4 7 5 8\\n3 1 9 5\\n2 5 4 10\\n2 3 3 6\\n7 4 9 5\\n\",\n \"10 10 10\\n0001000111\\n1101000111\\n1100101111\\n1011101011\\n1011110101\\n1110101110\\n1101101111\\n1111111100\\n0110101110\\n1011101011\\n6 3 7 9\\n2 6 8 7\\n9 7 10 8\\n3 1 5 9\\n1 6 9 10\\n6 3 8 8\\n1 6 9 10\\n5 6 8 10\\n8 8 10 8\\n9 6 9 10\\n\",\n \"3 2 8\\n01\\n00\\n00\\n3 2 3 2\\n1 1 2 1\\n2 1 3 1\\n2 2 3 2\\n1 1 2 2\\n1 1 1 2\\n1 1 3 1\\n1 1 2 2\\n\",\n \"10 10 10\\n0010001010\\n0011011010\\n0100001110\\n0010100000\\n0000100111\\n0100000001\\n0000010100\\n1000000010\\n0000010000\\n0110010000\\n1 1 4 6\\n2 6 3 10\\n1 6 3 9\\n6 5 8 5\\n2 3 6 8\\n4 7 5 8\\n3 1 9 5\\n2 5 4 10\\n2 3 3 6\\n7 4 9 5\\n\",\n \"5 5 5\\n00101\\n00000\\n00001\\n01000\\n01001\\n1 2 2 4\\n4 5 4 5\\n1 2 5 2\\n2 2 4 5\\n4 2 5 3\\n\",\n \"4 7 5\\n0000100\\n0000010\\n0011000\\n0000000\\n1 7 2 7\\n3 1 3 1\\n2 5 4 5\\n1 2 2 7\\n2 2 4 7\\n\",\n \"4 7 5\\n0000100\\n0000010\\n0011000\\n0000000\\n1 7 2 7\\n3 1 3 1\\n4 5 4 5\\n1 2 2 7\\n2 2 4 7\\n\",\n \"10 10 10\\n0010001011\\n0011011010\\n0100001110\\n0010100000\\n0000100111\\n0100000001\\n0000010100\\n1000000010\\n0000010000\\n0110010000\\n1 1 4 6\\n2 6 3 10\\n1 6 3 9\\n6 5 8 5\\n2 3 6 8\\n4 7 5 8\\n3 2 9 5\\n2 5 4 10\\n2 3 3 6\\n7 4 9 5\\n\",\n \"5 5 5\\n00101\\n00000\\n00001\\n01000\\n01001\\n1 2 2 4\\n4 5 4 5\\n1 2 4 2\\n2 2 4 5\\n3 2 5 3\\n\",\n \"4 7 5\\n0000100\\n0000010\\n0011000\\n0000100\\n1 7 2 7\\n3 1 3 1\\n4 5 4 5\\n1 2 2 7\\n2 2 4 7\\n\",\n \"5 5 5\\n00101\\n00000\\n00001\\n01000\\n01001\\n1 2 2 4\\n4 5 4 5\\n2 2 4 2\\n2 2 4 5\\n3 2 5 3\\n\",\n \"2 3 8\\n000\\n001\\n1 1 2 2\\n1 3 2 3\\n2 2 2 3\\n1 1 2 2\\n2 3 2 3\\n2 1 2 2\\n1 2 1 3\\n1 2 2 3\\n\",\n \"10 10 10\\n0010001010\\n1011011010\\n0100001110\\n0010100000\\n0000100011\\n0100000001\\n0000010100\\n1000000010\\n0000010000\\n0110010000\\n1 1 4 6\\n2 6 3 10\\n1 6 3 9\\n6 5 8 5\\n2 3 6 8\\n4 7 5 8\\n3 1 9 5\\n2 5 4 10\\n2 3 3 6\\n7 4 9 5\\n\",\n \"10 10 10\\n0001000111\\n1101000111\\n1100101111\\n1011101011\\n1011110101\\n1110101110\\n1101101111\\n1111111100\\n0110101110\\n1011101011\\n6 3 7 9\\n2 6 8 7\\n9 7 10 8\\n3 1 5 9\\n1 3 9 10\\n6 3 8 8\\n1 6 9 10\\n5 6 8 10\\n8 8 10 8\\n9 6 9 10\\n\",\n \"5 5 5\\n00101\\n10000\\n00001\\n01000\\n00001\\n1 2 2 4\\n4 5 4 5\\n1 2 5 2\\n2 2 4 5\\n4 2 5 3\\n\",\n \"10 10 10\\n0010001010\\n0011011010\\n0100001110\\n0010100000\\n0000100111\\n0100000001\\n0000010100\\n1000000010\\n0000010000\\n0110010000\\n1 1 4 6\\n2 6 3 10\\n1 6 3 9\\n6 5 8 5\\n2 3 6 8\\n4 7 9 8\\n3 1 9 5\\n2 5 4 10\\n2 3 3 6\\n7 4 9 5\\n\",\n \"10 10 10\\n0010001011\\n0011011010\\n0100001110\\n0010100000\\n0000100111\\n0100000001\\n0000010100\\n1000000010\\n0000010000\\n0110010000\\n1 1 4 6\\n2 6 3 10\\n1 6 3 9\\n6 5 8 5\\n2 3 6 8\\n4 7 5 8\\n3 1 5 5\\n2 5 4 10\\n2 3 3 6\\n7 4 9 5\\n\",\n \"10 10 10\\n0010001011\\n0011011010\\n0100001110\\n0010100000\\n0000100111\\n0100000001\\n0000010100\\n1000000010\\n0000010000\\n0110010000\\n1 1 4 6\\n2 6 3 10\\n1 6 3 9\\n6 5 8 5\\n2 3 6 8\\n5 7 5 8\\n3 2 9 5\\n2 5 4 10\\n2 3 3 6\\n7 4 9 5\\n\",\n \"2 3 8\\n000\\n001\\n1 1 2 2\\n1 3 2 3\\n2 2 2 3\\n1 1 2 3\\n2 3 2 3\\n2 1 2 2\\n1 2 1 3\\n1 2 2 3\\n\",\n \"10 10 10\\n0010001010\\n1011011010\\n0100001110\\n0010100000\\n0000100011\\n0100000001\\n0000010100\\n1000000010\\n0000010000\\n0110010000\\n1 1 4 6\\n2 6 3 10\\n1 6 3 9\\n6 5 10 5\\n2 3 6 8\\n4 7 5 8\\n3 1 9 5\\n2 5 4 10\\n2 3 3 6\\n7 4 9 5\\n\",\n \"10 10 10\\n0010001011\\n0011011010\\n0100001110\\n0010100000\\n0000100111\\n0100000001\\n0000010100\\n1000000010\\n0000010000\\n0110010000\\n1 1 4 6\\n2 6 3 10\\n1 6 3 9\\n6 5 8 5\\n2 3 6 8\\n4 7 5 8\\n3 1 5 5\\n2 9 4 10\\n2 3 3 6\\n7 4 9 5\\n\",\n \"10 10 10\\n0010001011\\n0011011010\\n0100000110\\n0010100000\\n0000100111\\n0100000001\\n0000010100\\n1000000010\\n0000010000\\n0110010000\\n1 1 4 6\\n2 6 3 10\\n1 6 3 9\\n6 5 8 5\\n2 3 6 8\\n5 7 5 8\\n3 2 9 5\\n2 5 4 10\\n2 3 3 6\\n7 4 9 5\\n\",\n \"2 3 8\\n000\\n001\\n1 1 2 2\\n1 3 2 3\\n2 2 2 3\\n1 1 2 3\\n2 1 2 3\\n2 1 2 2\\n1 2 1 3\\n1 2 2 3\\n\",\n \"10 10 10\\n0010001011\\n0011011010\\n0100001110\\n0010100000\\n0000100111\\n0100000001\\n0000010100\\n1000000010\\n0000010000\\n0110010000\\n1 1 4 6\\n2 6 3 10\\n1 6 3 9\\n6 5 8 5\\n2 3 6 8\\n4 7 5 8\\n3 1 5 5\\n2 8 4 10\\n2 3 3 6\\n7 4 9 5\\n\",\n \"10 10 10\\n0010001011\\n0011011010\\n0100001110\\n0010100000\\n0000100111\\n0100000001\\n0000010100\\n1000000010\\n0000010000\\n0110010000\\n1 1 4 6\\n2 6 3 10\\n1 6 3 9\\n6 5 8 5\\n2 1 6 8\\n4 7 5 8\\n3 1 5 5\\n2 8 4 10\\n2 3 3 6\\n7 4 9 5\\n\",\n \"10 10 10\\n0010001011\\n0011011010\\n0100001110\\n0010100000\\n0000100111\\n1100000001\\n0000010100\\n1000000010\\n0000010000\\n0110010000\\n1 1 4 6\\n2 6 3 10\\n1 6 3 9\\n6 5 8 5\\n2 1 6 8\\n4 7 5 8\\n3 1 5 5\\n2 8 4 10\\n2 3 3 6\\n7 4 9 5\\n\",\n \"10 10 10\\n0010001011\\n0011011010\\n0100001110\\n0010000000\\n0000100111\\n1100000001\\n0000010100\\n1000000010\\n0000010000\\n0110010000\\n1 1 4 6\\n2 6 3 10\\n1 6 3 9\\n6 5 8 5\\n2 1 6 8\\n4 7 5 8\\n3 1 5 5\\n2 8 4 10\\n2 3 3 6\\n7 4 9 5\\n\",\n \"10 10 10\\n0010001011\\n0011011010\\n0100001110\\n0010000000\\n0000100111\\n1100000001\\n0000010100\\n1000000010\\n0000010000\\n0110010000\\n1 1 4 6\\n2 6 3 10\\n1 6 3 9\\n6 5 8 5\\n2 1 6 8\\n4 7 5 8\\n3 1 5 2\\n2 8 4 10\\n2 3 3 6\\n7 4 9 5\\n\",\n \"10 10 10\\n0010001011\\n0011011010\\n0100001110\\n0010000000\\n0000100111\\n1100000101\\n0000010100\\n1000000110\\n0000010000\\n0110010000\\n1 1 4 6\\n2 6 3 10\\n1 6 3 9\\n6 5 8 5\\n2 1 6 8\\n4 7 5 8\\n3 1 5 2\\n2 8 4 10\\n2 3 3 6\\n7 4 9 5\\n\",\n \"10 10 10\\n0010001011\\n0011001010\\n0100001110\\n0010000000\\n0000100111\\n1100000101\\n0000010100\\n1000000100\\n0000010000\\n0110010000\\n1 1 4 6\\n2 6 3 10\\n1 6 3 9\\n6 5 8 5\\n2 1 6 8\\n4 7 5 8\\n3 1 5 2\\n2 8 4 10\\n2 3 3 6\\n7 4 9 5\\n\",\n \"2 3 8\\n100\\n001\\n1 1 2 2\\n1 3 2 3\\n2 2 2 3\\n1 1 2 2\\n2 3 2 3\\n2 1 2 2\\n1 2 1 3\\n1 2 2 2\\n\",\n \"3 2 8\\n01\\n00\\n00\\n3 2 3 2\\n1 1 2 1\\n2 1 3 1\\n2 2 3 2\\n1 1 2 2\\n1 1 1 1\\n1 1 3 1\\n1 1 2 2\\n\",\n \"4 7 5\\n0000100\\n0000010\\n0011000\\n0000000\\n1 7 2 7\\n3 1 3 1\\n2 2 4 5\\n1 2 2 7\\n2 2 4 7\\n\",\n \"10 10 10\\n0010001010\\n0011011010\\n0100001110\\n0010100000\\n0000100111\\n0100000001\\n0000010100\\n1000000010\\n0000010000\\n0110010000\\n1 1 4 6\\n2 6 3 10\\n1 6 3 9\\n6 5 8 5\\n2 3 6 8\\n4 7 5 8\\n3 1 9 5\\n2 5 4 10\\n2 3 3 6\\n7 2 9 5\\n\",\n \"4 7 5\\n0000100\\n0000010\\n0011000\\n0010000\\n1 7 2 7\\n3 1 3 1\\n2 5 4 5\\n1 2 2 7\\n2 2 4 7\\n\",\n \"10 10 10\\n0010001011\\n0011011010\\n0100001110\\n0010100000\\n0000100111\\n0100000001\\n0000010100\\n1000000010\\n0000010000\\n0110010000\\n1 1 4 6\\n2 6 3 10\\n1 6 3 9\\n6 5 8 5\\n2 3 6 8\\n4 7 5 8\\n3 2 9 5\\n2 5 4 10\\n2 3 3 6\\n7 4 9 8\\n\",\n \"4 7 5\\n0000100\\n0000010\\n0011001\\n0000000\\n1 7 2 7\\n3 1 3 1\\n4 5 4 5\\n1 2 2 7\\n2 2 4 7\\n\",\n \"10 10 10\\n0010001011\\n0011001010\\n0100001110\\n0010100000\\n0000100111\\n0100000001\\n0000010100\\n1000000010\\n0000010000\\n0110010000\\n1 1 4 6\\n2 6 3 10\\n1 6 3 9\\n6 5 8 5\\n2 3 6 8\\n4 7 5 8\\n3 2 9 5\\n2 5 4 10\\n2 3 3 6\\n7 4 9 5\\n\",\n \"2 3 8\\n000\\n001\\n1 1 2 2\\n1 3 2 3\\n2 3 2 3\\n1 1 2 2\\n2 3 2 3\\n2 1 2 2\\n1 2 1 3\\n1 2 2 3\\n\",\n \"10 10 10\\n0010001010\\n1011011010\\n0100001110\\n0010100000\\n0000100011\\n0100000001\\n0000010100\\n1000000010\\n0000010000\\n0110010000\\n1 1 4 6\\n2 6 3 10\\n1 6 3 9\\n6 5 8 5\\n2 3 6 8\\n4 7 5 8\\n3 1 9 5\\n4 5 4 10\\n2 3 3 6\\n7 4 9 5\\n\",\n \"10 10 10\\n0001000111\\n1101000111\\n1100101111\\n1011101011\\n1011110101\\n1110101110\\n1101101111\\n1111111100\\n0110101110\\n1011101011\\n7 3 7 9\\n2 6 8 7\\n9 7 10 8\\n3 1 5 9\\n1 3 9 10\\n6 3 8 8\\n1 6 9 10\\n5 6 8 10\\n8 8 10 8\\n9 6 9 10\\n\",\n \"10 10 10\\n0010001011\\n0011011010\\n0100001110\\n0010100000\\n0000100111\\n0100000001\\n0000010100\\n1000000010\\n0000010000\\n0110010000\\n1 1 4 5\\n2 6 3 10\\n1 6 3 9\\n6 5 8 5\\n2 3 6 8\\n4 7 5 8\\n3 1 5 5\\n2 5 4 10\\n2 3 3 6\\n7 4 9 5\\n\",\n \"10 10 10\\n0010001011\\n0011011010\\n0100001110\\n0010100000\\n0000100111\\n0100000001\\n0000010100\\n1000000010\\n0000010000\\n0110010000\\n1 1 4 6\\n2 6 3 10\\n1 6 3 9\\n6 5 8 5\\n2 3 6 8\\n1 7 5 8\\n3 2 9 5\\n2 5 4 10\\n2 3 3 6\\n7 4 9 5\\n\",\n \"2 3 8\\n000\\n001\\n1 1 2 2\\n1 3 2 3\\n2 2 2 3\\n1 1 2 3\\n2 3 2 3\\n1 1 2 2\\n1 2 1 3\\n1 2 2 3\\n\",\n \"10 10 10\\n0010001010\\n1011011010\\n0100001110\\n0010100000\\n0000100011\\n0100000001\\n0000010100\\n1000000010\\n0000010000\\n0110010000\\n1 1 4 6\\n2 6 3 10\\n1 6 3 9\\n6 5 10 5\\n2 3 6 8\\n4 7 5 8\\n3 1 9 5\\n2 5 4 10\\n2 3 3 6\\n1 4 9 5\\n\",\n \"10 10 10\\n0010001010\\n0011011010\\n0100001110\\n0010100000\\n0000100101\\n0100000001\\n0000010100\\n1000000010\\n0000010000\\n0110010000\\n1 1 4 6\\n2 6 3 10\\n1 6 3 9\\n6 5 8 5\\n2 3 5 8\\n4 7 9 8\\n3 1 9 5\\n2 5 4 10\\n2 3 3 6\\n7 4 9 5\\n\",\n \"10 10 10\\n0010001011\\n0011011010\\n0100001110\\n0010100000\\n0000100111\\n0100000001\\n0000010100\\n1000000010\\n0000010000\\n0110010000\\n1 1 4 6\\n2 6 3 10\\n1 6 3 9\\n6 5 8 5\\n2 3 6 8\\n4 7 5 8\\n3 1 9 5\\n2 5 4 10\\n2 3 3 6\\n7 4 9 5\\n\",\n \"5 5 5\\n00101\\n00000\\n00001\\n01000\\n01001\\n1 2 2 4\\n4 5 4 5\\n1 2 4 2\\n2 2 4 5\\n4 2 5 3\\n\",\n \"5 5 5\\n00101\\n10000\\n00001\\n01000\\n01001\\n1 2 2 4\\n4 5 4 5\\n2 2 4 2\\n2 2 4 5\\n3 2 5 3\\n\",\n \"10 10 10\\n0010001010\\n0011011010\\n0100001110\\n0010100000\\n0000100101\\n0100000001\\n0000010100\\n1000000010\\n0000010000\\n0110010000\\n1 1 4 6\\n2 6 3 10\\n1 6 3 9\\n6 5 8 5\\n2 3 6 8\\n4 7 9 8\\n3 1 9 5\\n2 5 4 10\\n2 3 3 6\\n7 4 9 5\\n\",\n \"10 10 10\\n0010001011\\n0011011010\\n0100001110\\n0010000000\\n0000100111\\n1100000001\\n0000010100\\n1000000110\\n0000010000\\n0110010000\\n1 1 4 6\\n2 6 3 10\\n1 6 3 9\\n6 5 8 5\\n2 1 6 8\\n4 7 5 8\\n3 1 5 2\\n2 8 4 10\\n2 3 3 6\\n7 4 9 5\\n\",\n \"10 10 10\\n0010001011\\n0011011010\\n0100001110\\n0010000000\\n0000100111\\n1100000101\\n0000010100\\n1000000100\\n0000010000\\n0110010000\\n1 1 4 6\\n2 6 3 10\\n1 6 3 9\\n6 5 8 5\\n2 1 6 8\\n4 7 5 8\\n3 1 5 2\\n2 8 4 10\\n2 3 3 6\\n7 4 9 5\\n\",\n \"5 5 5\\n00101\\n00000\\n00001\\n01000\\n01001\\n1 2 2 4\\n4 5 4 5\\n1 2 4 2\\n2 2 4 5\\n4 3 5 3\\n\",\n \"5 5 5\\n00101\\n00000\\n10001\\n01000\\n01001\\n1 2 2 4\\n4 5 4 5\\n2 2 4 2\\n2 2 4 5\\n3 2 5 3\\n\"\n ],\n \"output\": [\n \"10\\n1\\n7\\n34\\n5\\n\",\n \"3\\n1\\n16\\n27\\n52\\n\",\n \"9\\n1\\n1\\n9\\n0\\n3\\n3\\n3\\n\",\n \"42\\n5\\n5\\n6\\n79\\n9\\n151\\n27\\n12\\n18\\n\",\n \"5\\n12\\n1\\n12\\n29\\n5\\n29\\n9\\n1\\n2\\n\",\n \"1\\n3\\n3\\n3\\n5\\n1\\n6\\n5\\n\",\n \"42\\n5\\n5\\n6\\n67\\n5\\n151\\n27\\n12\\n18\\n\",\n \"10\\n1\\n6\\n34\\n3\\n\",\n \"3\\n1\\n6\\n27\\n52\\n\",\n \"3\\n1\\n1\\n27\\n52\\n\",\n \"42\\n5\\n5\\n6\\n67\\n5\\n122\\n27\\n12\\n18\\n\",\n \"10\\n1\\n6\\n34\\n8\\n\",\n \"3\\n1\\n0\\n27\\n36\\n\",\n \"10\\n1\\n3\\n34\\n8\\n\",\n \"9\\n1\\n1\\n9\\n0\\n3\\n3\\n5\\n\",\n \"34\\n5\\n5\\n6\\n79\\n9\\n151\\n27\\n12\\n18\\n\",\n \"5\\n12\\n1\\n12\\n49\\n5\\n29\\n9\\n1\\n2\\n\",\n \"10\\n1\\n7\\n34\\n5\\n\",\n \"42\\n5\\n5\\n6\\n67\\n31\\n151\\n27\\n12\\n18\\n\",\n \"42\\n5\\n5\\n6\\n67\\n5\\n29\\n27\\n12\\n18\\n\",\n \"42\\n5\\n5\\n6\\n67\\n1\\n122\\n27\\n12\\n18\\n\",\n \"9\\n1\\n1\\n12\\n0\\n3\\n3\\n5\\n\",\n \"34\\n5\\n5\\n15\\n79\\n9\\n151\\n27\\n12\\n18\\n\",\n \"42\\n5\\n5\\n6\\n67\\n5\\n29\\n8\\n12\\n18\\n\",\n \"42\\n7\\n7\\n6\\n78\\n1\\n122\\n32\\n12\\n18\\n\",\n \"9\\n1\\n1\\n12\\n3\\n3\\n3\\n5\\n\",\n \"42\\n5\\n5\\n6\\n67\\n5\\n29\\n12\\n12\\n18\\n\",\n \"42\\n5\\n5\\n6\\n94\\n5\\n29\\n12\\n12\\n18\\n\",\n \"42\\n5\\n5\\n6\\n89\\n5\\n29\\n12\\n12\\n18\\n\",\n \"52\\n5\\n5\\n6\\n102\\n5\\n33\\n12\\n12\\n18\\n\",\n \"52\\n5\\n5\\n6\\n102\\n5\\n12\\n12\\n12\\n18\\n\",\n \"52\\n5\\n5\\n6\\n96\\n5\\n12\\n12\\n12\\n18\\n\",\n \"64\\n7\\n9\\n6\\n104\\n5\\n12\\n12\\n16\\n18\\n\",\n \"5\\n1\\n1\\n5\\n0\\n3\\n3\\n3\\n\",\n \"1\\n3\\n3\\n3\\n5\\n1\\n6\\n5\\n\",\n \"3\\n1\\n28\\n27\\n52\\n\",\n \"42\\n5\\n5\\n6\\n67\\n5\\n151\\n27\\n12\\n60\\n\",\n \"3\\n1\\n6\\n27\\n42\\n\",\n \"42\\n5\\n5\\n6\\n67\\n5\\n122\\n27\\n12\\n39\\n\",\n \"3\\n1\\n1\\n27\\n44\\n\",\n \"52\\n7\\n9\\n6\\n74\\n5\\n122\\n32\\n16\\n18\\n\",\n \"9\\n1\\n0\\n9\\n0\\n3\\n3\\n5\\n\",\n \"34\\n5\\n5\\n6\\n79\\n9\\n151\\n15\\n12\\n18\\n\",\n \"2\\n12\\n1\\n12\\n49\\n5\\n29\\n9\\n1\\n2\\n\",\n \"33\\n5\\n5\\n6\\n67\\n5\\n29\\n27\\n12\\n18\\n\",\n \"42\\n5\\n5\\n6\\n67\\n8\\n122\\n27\\n12\\n18\\n\",\n \"9\\n1\\n1\\n12\\n0\\n9\\n3\\n5\\n\",\n \"34\\n5\\n5\\n15\\n79\\n9\\n151\\n27\\n12\\n57\\n\",\n \"42\\n5\\n5\\n6\\n34\\n31\\n151\\n27\\n12\\n18\\n\",\n \"42\\n5\\n5\\n6\\n67\\n5\\n151\\n27\\n12\\n18\\n\",\n \"10\\n1\\n6\\n34\\n3\\n\",\n \"10\\n1\\n3\\n34\\n8\\n\",\n \"42\\n5\\n5\\n6\\n67\\n31\\n151\\n27\\n12\\n18\\n\",\n \"52\\n5\\n5\\n6\\n102\\n5\\n12\\n12\\n12\\n18\\n\",\n \"52\\n5\\n5\\n6\\n96\\n5\\n12\\n12\\n12\\n18\\n\",\n \"10\\n1\\n6\\n34\\n3\\n\",\n \"10\\n1\\n3\\n34\\n8\\n\"\n ]\n}"},"source":{"kind":"class label","value":"2","name":"CODEFORCES"}}},{"rowIdx":38261,"cells":{"id":{"kind":"string","value":"396_A. On Number of Decompositions into Multipliers_38261"},"description":{"kind":"string","value":"You are given an integer m as a product of integers a1, a2, ... an . Your task is to find the number of distinct decompositions of number m into the product of n ordered positive integers.\n\nDecomposition into n products, given in the input, must also be considered in the answer. As the answer can be very large, print it modulo 1000000007 (109 + 7).\n\nInput\n\nThe first line contains positive integer n (1 ≤ n ≤ 500). The second line contains space-separated integers a1, a2, ..., an (1 ≤ ai ≤ 109).\n\nOutput\n\nIn a single line print a single number k — the number of distinct decompositions of number m into n ordered multipliers modulo 1000000007 (109 + 7).\n\nExamples\n\nInput\n\n1\n15\n\n\nOutput\n\n1\n\n\nInput\n\n3\n1 1 2\n\n\nOutput\n\n3\n\n\nInput\n\n2\n5 7\n\n\nOutput\n\n4\n\nNote\n\nIn the second sample, the get a decomposition of number 2, you need any one number out of three to equal 2, and the rest to equal 1.\n\nIn the third sample, the possible ways of decomposing into ordered multipliers are [7,5], [5,7], [1,35], [35,1].\n\nA decomposition of positive integer m into n ordered multipliers is a cortege of positive integers b = {b1, b2, ... bn} such that . Two decompositions b and c are considered different, if there exists index i such that bi ≠ ci."},"code":{"kind":"string","value":"from collections import defaultdict\ndef main():\n n = int(raw_input())\n a = map(int, raw_input().split())\n primes = []\n b = [0] * 34002\n for x in xrange(2, 34000):\n if b[x]: continue\n primes.append(x)\n y = x + x\n while y < 34000:\n b[y] = 1\n y = y + x\n c = defaultdict(int)\n for x in a:\n for y in primes:\n while x % y == 0:\n c[y] += 1\n x /= y\n if x != 1:\n c[x] += 1\n mod = 1000000007\n ps = [1]\n for i in xrange(1, 18000):\n ps.append(ps[-1] * i % mod)\n def comb(x, y):\n return ps[x] * pow(ps[y], mod-2, mod) * pow(ps[x-y], mod-2, mod) % mod\n ans = 1\n for x in c.values():\n ans = ans * comb(x+n-1, x) % mod\n print ans\nmain()\n"},"language":{"kind":"class label","value":"1","name":"Python2"},"test_samples":{"kind":"string","value":"{\n \"input\": [\n \"1\\n15\\n\",\n \"3\\n1 1 2\\n\",\n \"2\\n5 7\\n\",\n \"3\\n8 10 8\\n\",\n \"1\\n536870912\\n\",\n \"1\\n111546435\\n\",\n \"10\\n2097152 67108864 65536 262144 262144 131072 8388608 536870912 65536 2097152\\n\",\n \"23\\n77 12 25 7 44 75 80 92 49 77 56 93 59 45 45 39 86 83 99 91 4 70 83\\n\",\n \"50\\n675 25000 2025 50 450 31250 3750 225 1350 250 72 187500 12000 281250 187500 30000 45000 90000 90 1200 9000 56250 5760 270000 3125 3796875 2250 101250 40 2500 175781250 1250000 45000 2250 3000 31250 46875 135000 421875000 36000 360 140625000 13500 1406250 1125 250 75000 62500 150 6\\n\",\n \"19\\n371700317 12112039 167375713 7262011 21093827 89809099 600662303 18181979 9363547 30857731 58642669 111546435 645328247 5605027 38706809 14457349 25456133 44227723 33984931\\n\",\n \"5\\n387420489 536870912 536870912 536870912 387420489\\n\",\n \"2\\n1 2\\n\",\n \"8\\n836 13 77 218 743 530 404 741\\n\",\n \"2\\n5 10\\n\",\n \"2\\n1 6\\n\",\n \"1\\n1\\n\",\n \"10\\n6295 3400 4042 2769 3673 264 5932 4977 1776 5637\\n\",\n \"5\\n387420489 244140625 387420489 387420489 1\\n\",\n \"20\\n16777216 1048576 524288 8192 8192 524288 2097152 8388608 1048576 67108864 16777216 1048576 4096 8388608 134217728 67108864 1048576 536870912 67108864 67108864\\n\",\n \"2\\n536870912 387420489\\n\",\n \"7\\n111546435 58642669 600662303 167375713 371700317 33984931 89809099\\n\",\n \"10\\n214358881 536870912 815730721 387420489 893871739 244140625 282475249 594823321 148035889 410338673\\n\",\n \"3\\n1 1 1\\n\",\n \"10\\n237254761 1 817430153 1 1 1 1 1 90679621 1\\n\",\n \"5\\n14 67 15 28 21\\n\",\n \"2\\n1000000000 1000000000\\n\",\n \"2\\n999983 999983\\n\",\n \"3\\n1 30 1\\n\",\n \"3\\n1 1 39989\\n\",\n \"3\\n8 10 6\\n\",\n \"1\\n220265856\\n\",\n \"10\\n2097152 67108864 65536 262144 262144 131072 8388608 536870912 65536 1863321\\n\",\n \"23\\n77 12 25 7 44 75 80 92 49 151 56 93 59 45 45 39 86 83 99 91 4 70 83\\n\",\n \"50\\n675 25000 2025 83 450 31250 3750 225 1350 250 72 187500 12000 281250 187500 30000 45000 90000 90 1200 9000 56250 5760 270000 3125 3796875 2250 101250 40 2500 175781250 1250000 45000 2250 3000 31250 46875 135000 421875000 36000 360 140625000 13500 1406250 1125 250 75000 62500 150 6\\n\",\n \"19\\n371700317 12112039 167375713 7262011 21093827 89809099 600662303 18181979 9363547 41085159 58642669 111546435 645328247 5605027 38706809 14457349 25456133 44227723 33984931\\n\",\n \"5\\n387420489 536870912 536870912 207197421 387420489\\n\",\n \"8\\n1522 13 77 218 743 530 404 741\\n\",\n \"2\\n1 5\\n\",\n \"10\\n6295 3400 4042 4592 3673 264 5932 4977 1776 5637\\n\",\n \"5\\n387420489 345326591 387420489 387420489 1\\n\",\n \"20\\n16777216 25025 524288 8192 8192 524288 2097152 8388608 1048576 67108864 16777216 1048576 4096 8388608 134217728 67108864 1048576 536870912 67108864 67108864\\n\",\n \"2\\n921304979 387420489\\n\",\n \"7\\n111546435 58642669 600662303 167375713 371700317 37498469 89809099\\n\",\n \"10\\n214358881 536870912 815730721 387420489 893871739 244140625 282475249 310544439 148035889 410338673\\n\",\n \"3\\n1 2 1\\n\",\n \"10\\n237254761 1 817430153 1 1 1 2 1 90679621 1\\n\",\n \"5\\n13 67 15 28 21\\n\",\n \"2\\n1000000000 1000100000\\n\",\n \"2\\n241770 999983\\n\",\n \"3\\n1 49 1\\n\",\n \"2\\n2 7\\n\",\n \"3\\n8 10 9\\n\",\n \"10\\n2354079 67108864 65536 262144 262144 131072 8388608 536870912 65536 1863321\\n\",\n \"23\\n77 12 25 7 44 75 80 92 49 151 56 93 59 45 45 39 12 83 99 91 4 70 83\\n\",\n \"50\\n675 25000 2025 83 450 31250 3750 225 1350 250 72 187500 12000 281250 187500 30000 45000 90000 90 1200 9000 56250 5760 270000 3125 3796875 2250 101250 40 2500 175781250 1250000 45000 2250 3000 31250 46875 135000 643172839 36000 360 140625000 13500 1406250 1125 250 75000 62500 150 6\\n\",\n \"19\\n371700317 12112039 167375713 7262011 21093827 89809099 600662303 18181979 9363547 41085159 58642669 111546435 645328247 5605027 38706809 14457349 25456133 44227723 44827688\\n\",\n \"5\\n257161530 536870912 536870912 207197421 387420489\\n\",\n \"8\\n1522 13 77 218 743 530 404 342\\n\",\n \"10\\n6295 3400 4042 4592 3673 264 6967 4977 1776 5637\\n\",\n \"5\\n387420489 427918323 387420489 387420489 1\\n\",\n \"20\\n16777216 25025 524288 8192 2797 524288 2097152 8388608 1048576 67108864 16777216 1048576 4096 8388608 134217728 67108864 1048576 536870912 67108864 67108864\\n\",\n \"2\\n875069406 387420489\\n\",\n \"7\\n111546435 58642669 343378054 167375713 371700317 37498469 89809099\\n\",\n \"10\\n316079402 536870912 815730721 387420489 893871739 244140625 282475249 310544439 148035889 410338673\\n\",\n \"5\\n13 67 21 28 21\\n\",\n \"2\\n329497 999983\\n\",\n \"3\\n8 20 9\\n\",\n \"10\\n2354079 67108864 65536 262144 262144 250271 8388608 536870912 65536 1863321\\n\",\n \"23\\n77 12 25 7 44 75 80 92 49 151 56 93 59 45 18 39 12 83 99 91 4 70 83\\n\",\n \"50\\n675 25000 2025 83 450 31250 3750 225 1350 250 72 187500 12000 281250 187500 30000 45000 90000 90 1200 9000 56250 5760 270000 3125 3796875 2250 22959 40 2500 175781250 1250000 45000 2250 3000 31250 46875 135000 643172839 36000 360 140625000 13500 1406250 1125 250 75000 62500 150 6\\n\",\n \"19\\n371700317 12112039 167375713 7262011 21093827 89809099 812222065 18181979 9363547 41085159 58642669 111546435 645328247 5605027 38706809 14457349 25456133 44227723 44827688\\n\",\n \"5\\n257161530 536870912 909215645 207197421 387420489\\n\",\n \"8\\n1522 13 77 218 743 530 404 271\\n\",\n \"2\\n3 10\\n\",\n \"10\\n6295 5827 4042 4592 3673 264 6967 4977 1776 5637\\n\",\n \"5\\n332493834 427918323 387420489 387420489 1\\n\",\n \"20\\n16777216 25025 524288 8192 2797 524288 2097152 8388608 1048576 97108108 16777216 1048576 4096 8388608 134217728 67108864 1048576 536870912 67108864 67108864\\n\",\n \"2\\n859476554 387420489\\n\",\n \"7\\n111546435 58642669 343378054 190730883 371700317 37498469 89809099\\n\",\n \"10\\n238337238 536870912 815730721 387420489 893871739 244140625 282475249 310544439 148035889 410338673\\n\",\n \"10\\n237254761 1 817430153 2 1 1 1 1 28939360 1\\n\",\n \"5\\n13 126 21 28 21\\n\",\n 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label","value":"2","name":"CODEFORCES"}}},{"rowIdx":38262,"cells":{"id":{"kind":"string","value":"396_A. On Number of Decompositions into Multipliers_38262"},"description":{"kind":"string","value":"You are given an integer m as a product of integers a1, a2, ... an . Your task is to find the number of distinct decompositions of number m into the product of n ordered positive integers.\n\nDecomposition into n products, given in the input, must also be considered in the answer. As the answer can be very large, print it modulo 1000000007 (109 + 7).\n\nInput\n\nThe first line contains positive integer n (1 ≤ n ≤ 500). The second line contains space-separated integers a1, a2, ..., an (1 ≤ ai ≤ 109).\n\nOutput\n\nIn a single line print a single number k — the number of distinct decompositions of number m into n ordered multipliers modulo 1000000007 (109 + 7).\n\nExamples\n\nInput\n\n1\n15\n\n\nOutput\n\n1\n\n\nInput\n\n3\n1 1 2\n\n\nOutput\n\n3\n\n\nInput\n\n2\n5 7\n\n\nOutput\n\n4\n\nNote\n\nIn the second sample, the get a decomposition of number 2, you need any one number out of three to equal 2, and the rest to equal 1.\n\nIn the third sample, the possible ways of decomposing into ordered multipliers are [7,5], [5,7], [1,35], [35,1].\n\nA decomposition of positive integer m into n ordered multipliers is a cortege of positive integers b = {b1, b2, ... bn} such that . Two decompositions b and c are considered different, if there exists index i such that bi ≠ ci."},"code":{"kind":"string","value":"#include \nusing namespace std;\nlong long int dp[502][22 * 502];\nint n;\nvector v;\nbool use[100000];\nvector prime;\nlong long int ans = 1;\nlong long int ff[30000];\nlong long int ppow(long long int i, long long int j) {\n long long int r = 1;\n while (j > 0) {\n if (j & 1) {\n r *= i;\n r %= 1000000007;\n }\n i *= i;\n i %= 1000000007;\n j >>= 1;\n }\n return r % 1000000007;\n}\nlong long int c(long long int a, long long int b) {\n long long int m = ff[a];\n m = m * ppow(ff[a - b], 1000000007 - 2);\n m %= 1000000007;\n long long int h = ff[b];\n long long int r = m * ppow(h, 1000000007 - 2);\n r %= 1000000007;\n return r;\n}\nint main() {\n ff[0] = 1;\n for (int i = 1; i < 30000; i++) {\n ff[i] = ff[i - 1];\n ff[i] *= (long long int)i;\n ff[i] %= 1000000007;\n }\n scanf(\"%d\", &n);\n prime.push_back(2);\n for (int i = 3; i < 100000; i += 2) {\n if (use[i] == false) {\n prime.push_back(i);\n for (int j = i * 2; j < 100000; j += i) {\n use[j] = true;\n }\n }\n }\n for (int i = 0; i < n; i++) {\n int a;\n scanf(\"%d\", &a);\n for (int i = 0; i < prime.size() && prime[i] * prime[i] <= a; i++) {\n while (a % prime[i] == 0) {\n v.push_back(prime[i]);\n a /= prime[i];\n }\n }\n if (a != 1) {\n v.push_back(a);\n }\n }\n sort(v.begin(), v.end());\n {\n int i = 0;\n while (i < v.size()) {\n long long int k = v[i];\n int countt = 0;\n while (i < v.size() && v[i] == k) {\n i++;\n countt++;\n }\n ans *= c(countt + n - 1, countt);\n ans %= 1000000007;\n }\n }\n ans %= 1000000007;\n printf(\"%I64d\\n\", ans);\n return 0;\n}\n"},"language":{"kind":"class label","value":"2","name":"C++"},"test_samples":{"kind":"string","value":"{\n \"input\": [\n \"1\\n15\\n\",\n \"3\\n1 1 2\\n\",\n \"2\\n5 7\\n\",\n \"3\\n8 10 8\\n\",\n \"1\\n536870912\\n\",\n \"1\\n111546435\\n\",\n \"10\\n2097152 67108864 65536 262144 262144 131072 8388608 536870912 65536 2097152\\n\",\n \"23\\n77 12 25 7 44 75 80 92 49 77 56 93 59 45 45 39 86 83 99 91 4 70 83\\n\",\n \"50\\n675 25000 2025 50 450 31250 3750 225 1350 250 72 187500 12000 281250 187500 30000 45000 90000 90 1200 9000 56250 5760 270000 3125 3796875 2250 101250 40 2500 175781250 1250000 45000 2250 3000 31250 46875 135000 421875000 36000 360 140625000 13500 1406250 1125 250 75000 62500 150 6\\n\",\n \"19\\n371700317 12112039 167375713 7262011 21093827 89809099 600662303 18181979 9363547 30857731 58642669 111546435 645328247 5605027 38706809 14457349 25456133 44227723 33984931\\n\",\n \"5\\n387420489 536870912 536870912 536870912 387420489\\n\",\n \"2\\n1 2\\n\",\n \"8\\n836 13 77 218 743 530 404 741\\n\",\n \"2\\n5 10\\n\",\n \"2\\n1 6\\n\",\n \"1\\n1\\n\",\n \"10\\n6295 3400 4042 2769 3673 264 5932 4977 1776 5637\\n\",\n \"5\\n387420489 244140625 387420489 387420489 1\\n\",\n \"20\\n16777216 1048576 524288 8192 8192 524288 2097152 8388608 1048576 67108864 16777216 1048576 4096 8388608 134217728 67108864 1048576 536870912 67108864 67108864\\n\",\n \"2\\n536870912 387420489\\n\",\n \"7\\n111546435 58642669 600662303 167375713 371700317 33984931 89809099\\n\",\n \"10\\n214358881 536870912 815730721 387420489 893871739 244140625 282475249 594823321 148035889 410338673\\n\",\n \"3\\n1 1 1\\n\",\n \"10\\n237254761 1 817430153 1 1 1 1 1 90679621 1\\n\",\n \"5\\n14 67 15 28 21\\n\",\n \"2\\n1000000000 1000000000\\n\",\n \"2\\n999983 999983\\n\",\n \"3\\n1 30 1\\n\",\n \"3\\n1 1 39989\\n\",\n \"3\\n8 10 6\\n\",\n \"1\\n220265856\\n\",\n \"10\\n2097152 67108864 65536 262144 262144 131072 8388608 536870912 65536 1863321\\n\",\n \"23\\n77 12 25 7 44 75 80 92 49 151 56 93 59 45 45 39 86 83 99 91 4 70 83\\n\",\n \"50\\n675 25000 2025 83 450 31250 3750 225 1350 250 72 187500 12000 281250 187500 30000 45000 90000 90 1200 9000 56250 5760 270000 3125 3796875 2250 101250 40 2500 175781250 1250000 45000 2250 3000 31250 46875 135000 421875000 36000 360 140625000 13500 1406250 1125 250 75000 62500 150 6\\n\",\n \"19\\n371700317 12112039 167375713 7262011 21093827 89809099 600662303 18181979 9363547 41085159 58642669 111546435 645328247 5605027 38706809 14457349 25456133 44227723 33984931\\n\",\n \"5\\n387420489 536870912 536870912 207197421 387420489\\n\",\n \"8\\n1522 13 77 218 743 530 404 741\\n\",\n \"2\\n1 5\\n\",\n \"10\\n6295 3400 4042 4592 3673 264 5932 4977 1776 5637\\n\",\n \"5\\n387420489 345326591 387420489 387420489 1\\n\",\n \"20\\n16777216 25025 524288 8192 8192 524288 2097152 8388608 1048576 67108864 16777216 1048576 4096 8388608 134217728 67108864 1048576 536870912 67108864 67108864\\n\",\n \"2\\n921304979 387420489\\n\",\n \"7\\n111546435 58642669 600662303 167375713 371700317 37498469 89809099\\n\",\n \"10\\n214358881 536870912 815730721 387420489 893871739 244140625 282475249 310544439 148035889 410338673\\n\",\n \"3\\n1 2 1\\n\",\n \"10\\n237254761 1 817430153 1 1 1 2 1 90679621 1\\n\",\n \"5\\n13 67 15 28 21\\n\",\n \"2\\n1000000000 1000100000\\n\",\n \"2\\n241770 999983\\n\",\n \"3\\n1 49 1\\n\",\n \"2\\n2 7\\n\",\n \"3\\n8 10 9\\n\",\n \"10\\n2354079 67108864 65536 262144 262144 131072 8388608 536870912 65536 1863321\\n\",\n \"23\\n77 12 25 7 44 75 80 92 49 151 56 93 59 45 45 39 12 83 99 91 4 70 83\\n\",\n \"50\\n675 25000 2025 83 450 31250 3750 225 1350 250 72 187500 12000 281250 187500 30000 45000 90000 90 1200 9000 56250 5760 270000 3125 3796875 2250 101250 40 2500 175781250 1250000 45000 2250 3000 31250 46875 135000 643172839 36000 360 140625000 13500 1406250 1125 250 75000 62500 150 6\\n\",\n \"19\\n371700317 12112039 167375713 7262011 21093827 89809099 600662303 18181979 9363547 41085159 58642669 111546435 645328247 5605027 38706809 14457349 25456133 44227723 44827688\\n\",\n \"5\\n257161530 536870912 536870912 207197421 387420489\\n\",\n \"8\\n1522 13 77 218 743 530 404 342\\n\",\n \"10\\n6295 3400 4042 4592 3673 264 6967 4977 1776 5637\\n\",\n \"5\\n387420489 427918323 387420489 387420489 1\\n\",\n \"20\\n16777216 25025 524288 8192 2797 524288 2097152 8388608 1048576 67108864 16777216 1048576 4096 8388608 134217728 67108864 1048576 536870912 67108864 67108864\\n\",\n \"2\\n875069406 387420489\\n\",\n \"7\\n111546435 58642669 343378054 167375713 371700317 37498469 89809099\\n\",\n \"10\\n316079402 536870912 815730721 387420489 893871739 244140625 282475249 310544439 148035889 410338673\\n\",\n \"5\\n13 67 21 28 21\\n\",\n \"2\\n329497 999983\\n\",\n \"3\\n8 20 9\\n\",\n \"10\\n2354079 67108864 65536 262144 262144 250271 8388608 536870912 65536 1863321\\n\",\n \"23\\n77 12 25 7 44 75 80 92 49 151 56 93 59 45 18 39 12 83 99 91 4 70 83\\n\",\n \"50\\n675 25000 2025 83 450 31250 3750 225 1350 250 72 187500 12000 281250 187500 30000 45000 90000 90 1200 9000 56250 5760 270000 3125 3796875 2250 22959 40 2500 175781250 1250000 45000 2250 3000 31250 46875 135000 643172839 36000 360 140625000 13500 1406250 1125 250 75000 62500 150 6\\n\",\n \"19\\n371700317 12112039 167375713 7262011 21093827 89809099 812222065 18181979 9363547 41085159 58642669 111546435 645328247 5605027 38706809 14457349 25456133 44227723 44827688\\n\",\n \"5\\n257161530 536870912 909215645 207197421 387420489\\n\",\n \"8\\n1522 13 77 218 743 530 404 271\\n\",\n \"2\\n3 10\\n\",\n \"10\\n6295 5827 4042 4592 3673 264 6967 4977 1776 5637\\n\",\n \"5\\n332493834 427918323 387420489 387420489 1\\n\",\n \"20\\n16777216 25025 524288 8192 2797 524288 2097152 8388608 1048576 97108108 16777216 1048576 4096 8388608 134217728 67108864 1048576 536870912 67108864 67108864\\n\",\n \"2\\n859476554 387420489\\n\",\n \"7\\n111546435 58642669 343378054 190730883 371700317 37498469 89809099\\n\",\n \"10\\n238337238 536870912 815730721 387420489 893871739 244140625 282475249 310544439 148035889 410338673\\n\",\n \"10\\n237254761 1 817430153 2 1 1 1 1 28939360 1\\n\",\n \"5\\n13 126 21 28 21\\n\",\n \"1\\n190629401\\n\",\n \"1\\n243088005\\n\",\n \"1\\n251841745\\n\",\n \"2\\n1 10\\n\",\n \"3\\n2 2 1\\n\",\n \"10\\n237254761 1 817430153 2 1 1 1 1 90679621 1\\n\",\n \"2\\n2 10\\n\",\n \"1\\n381347381\\n\",\n \"1\\n436345080\\n\",\n \"2\\n329497 164785\\n\",\n \"2\\n2 12\\n\",\n \"3\\n8 20 7\\n\",\n \"1\\n634165685\\n\"\n ],\n \"output\": [\n \"1\\n\",\n \"3\\n\",\n \"4\\n\",\n \"108\\n\",\n \"1\\n\",\n \"1\\n\",\n \"176451954\\n\",\n \"247701073\\n\",\n \"18983788\\n\",\n \"376284721\\n\",\n \"255309592\\n\",\n \"2\\n\",\n \"544714485\\n\",\n \"6\\n\",\n \"4\\n\",\n \"1\\n\",\n \"928377494\\n\",\n \"772171400\\n\",\n \"985054761\\n\",\n \"570\\n\",\n \"25706464\\n\",\n \"547239398\\n\",\n \"1\\n\",\n \"1000\\n\",\n \"459375\\n\",\n \"361\\n\",\n \"3\\n\",\n \"27\\n\",\n \"3\\n\",\n \"189\\n\",\n \"1\\n\",\n \"99140232\\n\",\n \"485010245\\n\",\n \"687306783\\n\",\n \"314760312\\n\",\n \"464813776\\n\",\n \"526671590\\n\",\n \"2\\n\",\n \"493879649\\n\",\n \"2121350\\n\",\n \"869011558\\n\",\n \"76\\n\",\n \"408463052\\n\",\n \"323437305\\n\",\n \"3\\n\",\n \"10000\\n\",\n \"421875\\n\",\n \"900\\n\",\n \"32\\n\",\n \"6\\n\",\n \"4\\n\",\n \"270\\n\",\n \"143297218\\n\",\n \"546379784\\n\",\n \"285817182\\n\",\n \"721141880\\n\",\n \"960153565\\n\",\n \"474455107\\n\",\n \"277438869\\n\",\n \"853361250\\n\",\n \"627928287\\n\",\n \"368\\n\",\n \"593920734\\n\",\n \"486503461\\n\",\n \"196875\\n\",\n \"16\\n\",\n \"378\\n\",\n \"506877987\\n\",\n \"549495737\\n\",\n \"753806527\\n\",\n \"468320665\\n\",\n \"889707577\\n\",\n \"403518658\\n\",\n \"8\\n\",\n \"575485871\\n\",\n \"246718715\\n\",\n \"484562742\\n\",\n \"152\\n\",\n \"341203443\\n\",\n \"549299384\\n\",\n \"50050000\\n\",\n \"857500\\n\",\n \"1\\n\",\n \"1\\n\",\n \"1\\n\",\n \"4\\n\",\n \"6\\n\",\n \"10000\\n\",\n \"6\\n\",\n \"1\\n\",\n \"1\\n\",\n \"32\\n\",\n \"8\\n\",\n \"189\\n\",\n \"1\\n\"\n ]\n}"},"source":{"kind":"class label","value":"2","name":"CODEFORCES"}}},{"rowIdx":38263,"cells":{"id":{"kind":"string","value":"396_A. On Number of Decompositions into Multipliers_38263"},"description":{"kind":"string","value":"You are given an integer m as a product of integers a1, a2, ... an . Your task is to find the number of distinct decompositions of number m into the product of n ordered positive integers.\n\nDecomposition into n products, given in the input, must also be considered in the answer. As the answer can be very large, print it modulo 1000000007 (109 + 7).\n\nInput\n\nThe first line contains positive integer n (1 ≤ n ≤ 500). The second line contains space-separated integers a1, a2, ..., an (1 ≤ ai ≤ 109).\n\nOutput\n\nIn a single line print a single number k — the number of distinct decompositions of number m into n ordered multipliers modulo 1000000007 (109 + 7).\n\nExamples\n\nInput\n\n1\n15\n\n\nOutput\n\n1\n\n\nInput\n\n3\n1 1 2\n\n\nOutput\n\n3\n\n\nInput\n\n2\n5 7\n\n\nOutput\n\n4\n\nNote\n\nIn the second sample, the get a decomposition of number 2, you need any one number out of three to equal 2, and the rest to equal 1.\n\nIn the third sample, the possible ways of decomposing into ordered multipliers are [7,5], [5,7], [1,35], [35,1].\n\nA decomposition of positive integer m into n ordered multipliers is a cortege of positive integers b = {b1, b2, ... bn} such that . Two decompositions b and c are considered different, if there exists index i such that bi ≠ ci."},"code":{"kind":"string","value":"# Made By Mostafa_Khaled \nbot = True \nMod = 1000000007\n\nMAX = 33000\n\nn = int( input() )\n\nA = list( map( int, input().split() ) )\n\n\n\nB = [0] * MAX\n\nbePrime = [0] * MAX;\n\nprimNum = []\n\nC = []\n\n\n\nfac=[1]\n\nfor j in range(1, MAX):\n\n fac.append( fac[-1] * j % Mod )\n\n\n\ndef calc( M, N ):\n\n return fac[M] * pow( fac[N] * fac[M-N] % Mod, Mod-2,Mod ) % Mod\n\n\n\nfor j in range(2, MAX):\n\n if bePrime[j] == 0: \n\n primNum.append( j )\n\n i = j\n\n while i < MAX:\n\n bePrime[i] = 1\n\n i = i + j\n\n\n\nfor x in A:\n\n tmp = x\n\n for j in primNum:\n\n while tmp % j == 0:\n\n tmp /= j\n\n B[j] += 1\n\n if tmp > 1:\n\n C.append( tmp )\n\n\n\nans = 1\n\n\n\nfor j in range(2,MAX): \n\n if B[j] > 0:\n\n ans = ans * calc( n + B[j] -1 , n - 1 ) % Mod\n\n\n\nl = len( C )\n\nfor j in range(0, l ):\n\n num= 0;\n\n for k in range(0, l ):\n\n if C[k] == C[j]:\n\n num = num + 1\n\n if k > j:\n\n num = 0\n\n break\n\n if num > 0:\n\n ans = ans * calc( n + num -1, n - 1 ) % Mod\n\n\n\nprint( str( ans % Mod ) )\n\n\n\n# Made By Mostafa_Khaled"},"language":{"kind":"class label","value":"3","name":"Python3"},"test_samples":{"kind":"string","value":"{\n \"input\": [\n \"1\\n15\\n\",\n \"3\\n1 1 2\\n\",\n \"2\\n5 7\\n\",\n \"3\\n8 10 8\\n\",\n \"1\\n536870912\\n\",\n \"1\\n111546435\\n\",\n \"10\\n2097152 67108864 65536 262144 262144 131072 8388608 536870912 65536 2097152\\n\",\n \"23\\n77 12 25 7 44 75 80 92 49 77 56 93 59 45 45 39 86 83 99 91 4 70 83\\n\",\n \"50\\n675 25000 2025 50 450 31250 3750 225 1350 250 72 187500 12000 281250 187500 30000 45000 90000 90 1200 9000 56250 5760 270000 3125 3796875 2250 101250 40 2500 175781250 1250000 45000 2250 3000 31250 46875 135000 421875000 36000 360 140625000 13500 1406250 1125 250 75000 62500 150 6\\n\",\n \"19\\n371700317 12112039 167375713 7262011 21093827 89809099 600662303 18181979 9363547 30857731 58642669 111546435 645328247 5605027 38706809 14457349 25456133 44227723 33984931\\n\",\n \"5\\n387420489 536870912 536870912 536870912 387420489\\n\",\n \"2\\n1 2\\n\",\n \"8\\n836 13 77 218 743 530 404 741\\n\",\n \"2\\n5 10\\n\",\n \"2\\n1 6\\n\",\n \"1\\n1\\n\",\n \"10\\n6295 3400 4042 2769 3673 264 5932 4977 1776 5637\\n\",\n \"5\\n387420489 244140625 387420489 387420489 1\\n\",\n \"20\\n16777216 1048576 524288 8192 8192 524288 2097152 8388608 1048576 67108864 16777216 1048576 4096 8388608 134217728 67108864 1048576 536870912 67108864 67108864\\n\",\n \"2\\n536870912 387420489\\n\",\n \"7\\n111546435 58642669 600662303 167375713 371700317 33984931 89809099\\n\",\n \"10\\n214358881 536870912 815730721 387420489 893871739 244140625 282475249 594823321 148035889 410338673\\n\",\n \"3\\n1 1 1\\n\",\n \"10\\n237254761 1 817430153 1 1 1 1 1 90679621 1\\n\",\n \"5\\n14 67 15 28 21\\n\",\n \"2\\n1000000000 1000000000\\n\",\n \"2\\n999983 999983\\n\",\n \"3\\n1 30 1\\n\",\n \"3\\n1 1 39989\\n\",\n \"3\\n8 10 6\\n\",\n \"1\\n220265856\\n\",\n \"10\\n2097152 67108864 65536 262144 262144 131072 8388608 536870912 65536 1863321\\n\",\n \"23\\n77 12 25 7 44 75 80 92 49 151 56 93 59 45 45 39 86 83 99 91 4 70 83\\n\",\n \"50\\n675 25000 2025 83 450 31250 3750 225 1350 250 72 187500 12000 281250 187500 30000 45000 90000 90 1200 9000 56250 5760 270000 3125 3796875 2250 101250 40 2500 175781250 1250000 45000 2250 3000 31250 46875 135000 421875000 36000 360 140625000 13500 1406250 1125 250 75000 62500 150 6\\n\",\n \"19\\n371700317 12112039 167375713 7262011 21093827 89809099 600662303 18181979 9363547 41085159 58642669 111546435 645328247 5605027 38706809 14457349 25456133 44227723 33984931\\n\",\n \"5\\n387420489 536870912 536870912 207197421 387420489\\n\",\n \"8\\n1522 13 77 218 743 530 404 741\\n\",\n \"2\\n1 5\\n\",\n \"10\\n6295 3400 4042 4592 3673 264 5932 4977 1776 5637\\n\",\n \"5\\n387420489 345326591 387420489 387420489 1\\n\",\n \"20\\n16777216 25025 524288 8192 8192 524288 2097152 8388608 1048576 67108864 16777216 1048576 4096 8388608 134217728 67108864 1048576 536870912 67108864 67108864\\n\",\n \"2\\n921304979 387420489\\n\",\n \"7\\n111546435 58642669 600662303 167375713 371700317 37498469 89809099\\n\",\n \"10\\n214358881 536870912 815730721 387420489 893871739 244140625 282475249 310544439 148035889 410338673\\n\",\n \"3\\n1 2 1\\n\",\n \"10\\n237254761 1 817430153 1 1 1 2 1 90679621 1\\n\",\n \"5\\n13 67 15 28 21\\n\",\n \"2\\n1000000000 1000100000\\n\",\n \"2\\n241770 999983\\n\",\n \"3\\n1 49 1\\n\",\n \"2\\n2 7\\n\",\n \"3\\n8 10 9\\n\",\n \"10\\n2354079 67108864 65536 262144 262144 131072 8388608 536870912 65536 1863321\\n\",\n \"23\\n77 12 25 7 44 75 80 92 49 151 56 93 59 45 45 39 12 83 99 91 4 70 83\\n\",\n \"50\\n675 25000 2025 83 450 31250 3750 225 1350 250 72 187500 12000 281250 187500 30000 45000 90000 90 1200 9000 56250 5760 270000 3125 3796875 2250 101250 40 2500 175781250 1250000 45000 2250 3000 31250 46875 135000 643172839 36000 360 140625000 13500 1406250 1125 250 75000 62500 150 6\\n\",\n \"19\\n371700317 12112039 167375713 7262011 21093827 89809099 600662303 18181979 9363547 41085159 58642669 111546435 645328247 5605027 38706809 14457349 25456133 44227723 44827688\\n\",\n \"5\\n257161530 536870912 536870912 207197421 387420489\\n\",\n \"8\\n1522 13 77 218 743 530 404 342\\n\",\n \"10\\n6295 3400 4042 4592 3673 264 6967 4977 1776 5637\\n\",\n \"5\\n387420489 427918323 387420489 387420489 1\\n\",\n \"20\\n16777216 25025 524288 8192 2797 524288 2097152 8388608 1048576 67108864 16777216 1048576 4096 8388608 134217728 67108864 1048576 536870912 67108864 67108864\\n\",\n \"2\\n875069406 387420489\\n\",\n \"7\\n111546435 58642669 343378054 167375713 371700317 37498469 89809099\\n\",\n \"10\\n316079402 536870912 815730721 387420489 893871739 244140625 282475249 310544439 148035889 410338673\\n\",\n \"5\\n13 67 21 28 21\\n\",\n \"2\\n329497 999983\\n\",\n \"3\\n8 20 9\\n\",\n \"10\\n2354079 67108864 65536 262144 262144 250271 8388608 536870912 65536 1863321\\n\",\n \"23\\n77 12 25 7 44 75 80 92 49 151 56 93 59 45 18 39 12 83 99 91 4 70 83\\n\",\n \"50\\n675 25000 2025 83 450 31250 3750 225 1350 250 72 187500 12000 281250 187500 30000 45000 90000 90 1200 9000 56250 5760 270000 3125 3796875 2250 22959 40 2500 175781250 1250000 45000 2250 3000 31250 46875 135000 643172839 36000 360 140625000 13500 1406250 1125 250 75000 62500 150 6\\n\",\n \"19\\n371700317 12112039 167375713 7262011 21093827 89809099 812222065 18181979 9363547 41085159 58642669 111546435 645328247 5605027 38706809 14457349 25456133 44227723 44827688\\n\",\n \"5\\n257161530 536870912 909215645 207197421 387420489\\n\",\n \"8\\n1522 13 77 218 743 530 404 271\\n\",\n \"2\\n3 10\\n\",\n \"10\\n6295 5827 4042 4592 3673 264 6967 4977 1776 5637\\n\",\n \"5\\n332493834 427918323 387420489 387420489 1\\n\",\n \"20\\n16777216 25025 524288 8192 2797 524288 2097152 8388608 1048576 97108108 16777216 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On Number of Decompositions into Multipliers_38264"},"description":{"kind":"string","value":"You are given an integer m as a product of integers a1, a2, ... an . Your task is to find the number of distinct decompositions of number m into the product of n ordered positive integers.\n\nDecomposition into n products, given in the input, must also be considered in the answer. As the answer can be very large, print it modulo 1000000007 (109 + 7).\n\nInput\n\nThe first line contains positive integer n (1 ≤ n ≤ 500). The second line contains space-separated integers a1, a2, ..., an (1 ≤ ai ≤ 109).\n\nOutput\n\nIn a single line print a single number k — the number of distinct decompositions of number m into n ordered multipliers modulo 1000000007 (109 + 7).\n\nExamples\n\nInput\n\n1\n15\n\n\nOutput\n\n1\n\n\nInput\n\n3\n1 1 2\n\n\nOutput\n\n3\n\n\nInput\n\n2\n5 7\n\n\nOutput\n\n4\n\nNote\n\nIn the second sample, the get a decomposition of number 2, you need any one number out of three to equal 2, and the rest to equal 1.\n\nIn the third sample, the possible ways of decomposing into ordered multipliers are [7,5], [5,7], [1,35], [35,1].\n\nA decomposition of positive integer m into n ordered multipliers is a cortege of positive integers b = {b1, b2, ... bn} such that . Two decompositions b and c are considered different, if there exists index i such that bi ≠ ci."},"code":{"kind":"string","value":"import java.io.*;\nimport java.math.BigInteger;\nimport java.util.*;\n\n\npublic class cf397c {\n static FastIO in = new FastIO(), out = in;\n\n static ArrayList primes;\n static long MOD = (long)1e9 + 7;\n static int MAX = (int)Math.sqrt(1e9) + 10;\n static long[] facts = new long[50000];\n static long[] invFacts = new long[50000];\n public static void main(String[] args) {\n primes = new ArrayList();\n boolean[] isPrime = new boolean[MAX];\n Arrays.fill(isPrime, true);\n isPrime[0] = isPrime[1] = false;\n for(int i=0; i*i map = new HashMap();\n for(int i=0; i getPrimes(int x) {\n ArrayList ret = new ArrayList();\n for(int z : primes) {\n if(z > x) break;\n while(x%z == 0) {\n x /= z;\n ret.add(z);\n }\n }\n if(x != 1) ret.add(x);\n return ret;\n }\n \n static long choose(int n, int k) {\n if(k == 0) return 1;\n if(n < k) return 0;\n long ret = facts[n];\n ret = (ret * invFacts[k]) % MOD;\n ret = (ret * invFacts[n-k]) % MOD;\n return ret;\n }\n\n static class FastIO extends PrintWriter {\n BufferedReader br;\n StringTokenizer st;\n\n public FastIO() {\n this(System.in, System.out);\n }\n\n public FastIO(InputStream in, OutputStream out) {\n super(new BufferedWriter(new OutputStreamWriter(out)));\n br = new BufferedReader(new InputStreamReader(in));\n scanLine();\n }\n\n public void scanLine() {\n try {\n st = new StringTokenizer(br.readLine().trim());\n } catch (Exception e) {\n throw new RuntimeException(e.getMessage());\n }\n }\n\n public int numTokens() {\n if (!st.hasMoreTokens()) {\n scanLine();\n return numTokens();\n }\n return st.countTokens();\n }\n\n public String next() {\n if (!st.hasMoreTokens()) {\n scanLine();\n return next();\n }\n return st.nextToken();\n }\n\n public double nextDouble() {\n return Double.parseDouble(next());\n }\n\n public long nextLong() {\n return Long.parseLong(next());\n }\n\n public int nextInt() {\n return Integer.parseInt(next());\n }\n }\n}\n"},"language":{"kind":"class label","value":"4","name":"JAVA"},"test_samples":{"kind":"string","value":"{\n \"input\": [\n \"1\\n15\\n\",\n \"3\\n1 1 2\\n\",\n \"2\\n5 7\\n\",\n \"3\\n8 10 8\\n\",\n \"1\\n536870912\\n\",\n \"1\\n111546435\\n\",\n \"10\\n2097152 67108864 65536 262144 262144 131072 8388608 536870912 65536 2097152\\n\",\n \"23\\n77 12 25 7 44 75 80 92 49 77 56 93 59 45 45 39 86 83 99 91 4 70 83\\n\",\n \"50\\n675 25000 2025 50 450 31250 3750 225 1350 250 72 187500 12000 281250 187500 30000 45000 90000 90 1200 9000 56250 5760 270000 3125 3796875 2250 101250 40 2500 175781250 1250000 45000 2250 3000 31250 46875 135000 421875000 36000 360 140625000 13500 1406250 1125 250 75000 62500 150 6\\n\",\n \"19\\n371700317 12112039 167375713 7262011 21093827 89809099 600662303 18181979 9363547 30857731 58642669 111546435 645328247 5605027 38706809 14457349 25456133 44227723 33984931\\n\",\n \"5\\n387420489 536870912 536870912 536870912 387420489\\n\",\n \"2\\n1 2\\n\",\n \"8\\n836 13 77 218 743 530 404 741\\n\",\n \"2\\n5 10\\n\",\n \"2\\n1 6\\n\",\n \"1\\n1\\n\",\n \"10\\n6295 3400 4042 2769 3673 264 5932 4977 1776 5637\\n\",\n \"5\\n387420489 244140625 387420489 387420489 1\\n\",\n \"20\\n16777216 1048576 524288 8192 8192 524288 2097152 8388608 1048576 67108864 16777216 1048576 4096 8388608 134217728 67108864 1048576 536870912 67108864 67108864\\n\",\n \"2\\n536870912 387420489\\n\",\n \"7\\n111546435 58642669 600662303 167375713 371700317 33984931 89809099\\n\",\n \"10\\n214358881 536870912 815730721 387420489 893871739 244140625 282475249 594823321 148035889 410338673\\n\",\n \"3\\n1 1 1\\n\",\n \"10\\n237254761 1 817430153 1 1 1 1 1 90679621 1\\n\",\n \"5\\n14 67 15 28 21\\n\",\n \"2\\n1000000000 1000000000\\n\",\n \"2\\n999983 999983\\n\",\n \"3\\n1 30 1\\n\",\n \"3\\n1 1 39989\\n\",\n \"3\\n8 10 6\\n\",\n \"1\\n220265856\\n\",\n \"10\\n2097152 67108864 65536 262144 262144 131072 8388608 536870912 65536 1863321\\n\",\n \"23\\n77 12 25 7 44 75 80 92 49 151 56 93 59 45 45 39 86 83 99 91 4 70 83\\n\",\n \"50\\n675 25000 2025 83 450 31250 3750 225 1350 250 72 187500 12000 281250 187500 30000 45000 90000 90 1200 9000 56250 5760 270000 3125 3796875 2250 101250 40 2500 175781250 1250000 45000 2250 3000 31250 46875 135000 421875000 36000 360 140625000 13500 1406250 1125 250 75000 62500 150 6\\n\",\n \"19\\n371700317 12112039 167375713 7262011 21093827 89809099 600662303 18181979 9363547 41085159 58642669 111546435 645328247 5605027 38706809 14457349 25456133 44227723 33984931\\n\",\n \"5\\n387420489 536870912 536870912 207197421 387420489\\n\",\n \"8\\n1522 13 77 218 743 530 404 741\\n\",\n \"2\\n1 5\\n\",\n \"10\\n6295 3400 4042 4592 3673 264 5932 4977 1776 5637\\n\",\n \"5\\n387420489 345326591 387420489 387420489 1\\n\",\n \"20\\n16777216 25025 524288 8192 8192 524288 2097152 8388608 1048576 67108864 16777216 1048576 4096 8388608 134217728 67108864 1048576 536870912 67108864 67108864\\n\",\n \"2\\n921304979 387420489\\n\",\n \"7\\n111546435 58642669 600662303 167375713 371700317 37498469 89809099\\n\",\n \"10\\n214358881 536870912 815730721 387420489 893871739 244140625 282475249 310544439 148035889 410338673\\n\",\n \"3\\n1 2 1\\n\",\n \"10\\n237254761 1 817430153 1 1 1 2 1 90679621 1\\n\",\n \"5\\n13 67 15 28 21\\n\",\n \"2\\n1000000000 1000100000\\n\",\n \"2\\n241770 999983\\n\",\n \"3\\n1 49 1\\n\",\n \"2\\n2 7\\n\",\n \"3\\n8 10 9\\n\",\n \"10\\n2354079 67108864 65536 262144 262144 131072 8388608 536870912 65536 1863321\\n\",\n \"23\\n77 12 25 7 44 75 80 92 49 151 56 93 59 45 45 39 12 83 99 91 4 70 83\\n\",\n \"50\\n675 25000 2025 83 450 31250 3750 225 1350 250 72 187500 12000 281250 187500 30000 45000 90000 90 1200 9000 56250 5760 270000 3125 3796875 2250 101250 40 2500 175781250 1250000 45000 2250 3000 31250 46875 135000 643172839 36000 360 140625000 13500 1406250 1125 250 75000 62500 150 6\\n\",\n \"19\\n371700317 12112039 167375713 7262011 21093827 89809099 600662303 18181979 9363547 41085159 58642669 111546435 645328247 5605027 38706809 14457349 25456133 44227723 44827688\\n\",\n \"5\\n257161530 536870912 536870912 207197421 387420489\\n\",\n \"8\\n1522 13 77 218 743 530 404 342\\n\",\n \"10\\n6295 3400 4042 4592 3673 264 6967 4977 1776 5637\\n\",\n \"5\\n387420489 427918323 387420489 387420489 1\\n\",\n \"20\\n16777216 25025 524288 8192 2797 524288 2097152 8388608 1048576 67108864 16777216 1048576 4096 8388608 134217728 67108864 1048576 536870912 67108864 67108864\\n\",\n \"2\\n875069406 387420489\\n\",\n \"7\\n111546435 58642669 343378054 167375713 371700317 37498469 89809099\\n\",\n \"10\\n316079402 536870912 815730721 387420489 893871739 244140625 282475249 310544439 148035889 410338673\\n\",\n \"5\\n13 67 21 28 21\\n\",\n \"2\\n329497 999983\\n\",\n \"3\\n8 20 9\\n\",\n \"10\\n2354079 67108864 65536 262144 262144 250271 8388608 536870912 65536 1863321\\n\",\n \"23\\n77 12 25 7 44 75 80 92 49 151 56 93 59 45 18 39 12 83 99 91 4 70 83\\n\",\n \"50\\n675 25000 2025 83 450 31250 3750 225 1350 250 72 187500 12000 281250 187500 30000 45000 90000 90 1200 9000 56250 5760 270000 3125 3796875 2250 22959 40 2500 175781250 1250000 45000 2250 3000 31250 46875 135000 643172839 36000 360 140625000 13500 1406250 1125 250 75000 62500 150 6\\n\",\n \"19\\n371700317 12112039 167375713 7262011 21093827 89809099 812222065 18181979 9363547 41085159 58642669 111546435 645328247 5605027 38706809 14457349 25456133 44227723 44827688\\n\",\n \"5\\n257161530 536870912 909215645 207197421 387420489\\n\",\n \"8\\n1522 13 77 218 743 530 404 271\\n\",\n \"2\\n3 10\\n\",\n \"10\\n6295 5827 4042 4592 3673 264 6967 4977 1776 5637\\n\",\n \"5\\n332493834 427918323 387420489 387420489 1\\n\",\n \"20\\n16777216 25025 524288 8192 2797 524288 2097152 8388608 1048576 97108108 16777216 1048576 4096 8388608 134217728 67108864 1048576 536870912 67108864 67108864\\n\",\n \"2\\n859476554 387420489\\n\",\n \"7\\n111546435 58642669 343378054 190730883 371700317 37498469 89809099\\n\",\n \"10\\n238337238 536870912 815730721 387420489 893871739 244140625 282475249 310544439 148035889 410338673\\n\",\n \"10\\n237254761 1 817430153 2 1 1 1 1 28939360 1\\n\",\n \"5\\n13 126 21 28 21\\n\",\n \"1\\n190629401\\n\",\n \"1\\n243088005\\n\",\n \"1\\n251841745\\n\",\n \"2\\n1 10\\n\",\n \"3\\n2 2 1\\n\",\n \"10\\n237254761 1 817430153 2 1 1 1 1 90679621 1\\n\",\n \"2\\n2 10\\n\",\n \"1\\n381347381\\n\",\n \"1\\n436345080\\n\",\n \"2\\n329497 164785\\n\",\n \"2\\n2 12\\n\",\n \"3\\n8 20 7\\n\",\n \"1\\n634165685\\n\"\n ],\n \"output\": [\n \"1\\n\",\n \"3\\n\",\n \"4\\n\",\n \"108\\n\",\n \"1\\n\",\n \"1\\n\",\n \"176451954\\n\",\n \"247701073\\n\",\n \"18983788\\n\",\n \"376284721\\n\",\n \"255309592\\n\",\n \"2\\n\",\n \"544714485\\n\",\n \"6\\n\",\n \"4\\n\",\n \"1\\n\",\n \"928377494\\n\",\n \"772171400\\n\",\n \"985054761\\n\",\n \"570\\n\",\n \"25706464\\n\",\n \"547239398\\n\",\n \"1\\n\",\n \"1000\\n\",\n \"459375\\n\",\n 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\"1\\n\",\n \"1\\n\",\n \"4\\n\",\n \"6\\n\",\n \"10000\\n\",\n \"6\\n\",\n \"1\\n\",\n \"1\\n\",\n \"32\\n\",\n \"8\\n\",\n \"189\\n\",\n \"1\\n\"\n ]\n}"},"source":{"kind":"class label","value":"2","name":"CODEFORCES"}}},{"rowIdx":38265,"cells":{"id":{"kind":"string","value":"418_B. Cunning Gena_38265"},"description":{"kind":"string","value":"A boy named Gena really wants to get to the \"Russian Code Cup\" finals, or at least get a t-shirt. But the offered problems are too complex, so he made an arrangement with his n friends that they will solve the problems for him.\n\nThe participants are offered m problems on the contest. For each friend, Gena knows what problems he can solve. But Gena's friends won't agree to help Gena for nothing: the i-th friend asks Gena xi rubles for his help in solving all the problems he can. Also, the friend agreed to write a code for Gena only if Gena's computer is connected to at least ki monitors, each monitor costs b rubles.\n\nGena is careful with money, so he wants to spend as little money as possible to solve all the problems. Help Gena, tell him how to spend the smallest possible amount of money. Initially, there's no monitors connected to Gena's computer.\n\nInput\n\nThe first line contains three integers n, m and b (1 ≤ n ≤ 100; 1 ≤ m ≤ 20; 1 ≤ b ≤ 109) — the number of Gena's friends, the number of problems and the cost of a single monitor.\n\nThe following 2n lines describe the friends. Lines number 2i and (2i + 1) contain the information about the i-th friend. The 2i-th line contains three integers xi, ki and mi (1 ≤ xi ≤ 109; 1 ≤ ki ≤ 109; 1 ≤ mi ≤ m) — the desired amount of money, monitors and the number of problems the friend can solve. The (2i + 1)-th line contains mi distinct positive integers — the numbers of problems that the i-th friend can solve. The problems are numbered from 1 to m.\n\nOutput\n\nPrint the minimum amount of money Gena needs to spend to solve all the problems. Or print -1, if this cannot be achieved.\n\nExamples\n\nInput\n\n2 2 1\n100 1 1\n2\n100 2 1\n1\n\n\nOutput\n\n202\n\n\nInput\n\n3 2 5\n100 1 1\n1\n100 1 1\n2\n200 1 2\n1 2\n\n\nOutput\n\n205\n\n\nInput\n\n1 2 1\n1 1 1\n1\n\n\nOutput\n\n-1"},"code":{"kind":"string","value":"#include \nusing namespace std;\nconst int MOD = 1000 * 1000 * 1000 + 7;\nconst long long INF = 2000 * 1000 * 1000 * 1ll * 2000 * 1000 * 1000;\nconst double EPS = 1e-9;\nconst double pi = acos(-1.0);\nconst int maxn = 110;\ntemplate \ninline T sqr(T n) {\n return (n * n);\n}\nstruct item {\n int x, k, mask;\n void read() {\n int size, xx;\n scanf(\"%d%d%d\", &x, &k, &size);\n mask = 0;\n for (int i = 0; i < size; i++) {\n scanf(\"%d\", &xx);\n mask |= (1 << (xx - 1));\n }\n }\n bool operator<(const item& it) const { return k < it.k; }\n};\nint n, m;\nitem a[maxn];\nlong long dp[1 << 20], res = INF, b;\nint main() {\n scanf(\"%d%d%I64d\", &n, &m, &b);\n for (int i = 0; i < n; i++) {\n a[i].read();\n }\n sort(a, a + n);\n for (int i = 1; i < (1 << m); i++) {\n dp[i] = INF;\n }\n for (int i = 0; i < n; i++) {\n for (int mask = 0; mask < (1 << m); mask++) {\n dp[mask | a[i].mask] = min(dp[mask | a[i].mask], dp[mask] + a[i].x);\n }\n if (dp[(1 << m) - 1] != INF) res = min(res, dp[(1 << m) - 1] + a[i].k * b);\n }\n if (res == INF)\n puts(\"-1\");\n else\n printf(\"%I64d\", res);\n return 0;\n}\n"},"language":{"kind":"class label","value":"2","name":"C++"},"test_samples":{"kind":"string","value":"{\n \"input\": [\n \"2 2 1\\n100 1 1\\n2\\n100 2 1\\n1\\n\",\n \"1 2 1\\n1 1 1\\n1\\n\",\n \"3 2 5\\n100 1 1\\n1\\n100 1 1\\n2\\n200 1 2\\n1 2\\n\",\n \"1 1 100000000\\n1 100000000 1\\n1\\n\",\n \"4 4 1000000000\\n1000000000 1000000000 1\\n1\\n1000000000 1000000000 1\\n2\\n1000000000 1000000000 1\\n3\\n1000000000 1000000000 1\\n4\\n\",\n \"1 20 1000000000\\n1000000000 999999999 20\\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20\\n\",\n \"1 1 1000000000\\n1 1000000000 1\\n1\\n\",\n \"1 1 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0000000000\\n1000000000 1000000000 1\\n1\\n\",\n \"3 3 1000000000\\n1010000000 10 1\\n1\\n1000000000 10000 1\\n2\\n1000000000 10 1\\n3\\n\",\n \"1 1 1000000000\\n1000000000 1635596 1\\n1\\n\",\n \"6 3 100\\n4000 1 1\\n1\\n5646 1 1\\n2\\n4000 1 1\\n3\\n1 100 1\\n1\\n1 100 1\\n2\\n1 100 1\\n3\\n\",\n \"9 10 612190254\\n647427374 619446694 5\\n2 5 6 7 9\\n327126452 66103113 2\\n3 6\\n428798466 894116011 8\\n1 2 3 4 6 7 8 9\\n552295232 715623413 6\\n1 5 6 7 9 10\\n562548898 887461531 5\\n1 2 4 5 8\\n397537442 434061945 3\\n1 3 7\\n948545278 759564726 3\\n1 5 6\\n785463564 977048557 8\\n1 2 3 4 5 7 8 10\\n524917958 125507729 6\\n2 3 4 7 9 10\\n\",\n \"3 2 1\\n10001000 1 1\\n1\\n1 100000000 1\\n1\\n1 1000000000 1\\n2\\n\",\n \"4 2 1\\n1 1 1\\n1\\n1 2 1\\n1\\n2 2 1\\n2\\n2 2 1\\n2\\n\",\n \"2 3 123\\n123 123 2\\n1 2\\n136 123 2\\n2 3\\n\",\n \"24 2 31\\n5162 8291 1\\n1\\n8802 218 1\\n1\\n1533 776 1\\n1\\n5823 8058 1\\n1\\n5132 611 1\\n1\\n5948 9496 1\\n1\\n8864 5447 1\\n1\\n2802 123 1\\n1\\n8630 4572 1\\n1\\n4917 6954 1\\n1\\n5577 7823 1\\n1\\n4328 5977 1\\n1\\n4113 5354 1\\n1\\n5512 5170 1\\n1\\n872 3323 1\\n1\\n3950 6811 1\\n1\\n2966 1775 1\\n1\\n711 3520 1\\n1\\n8983 2665 1\\n1\\n8430 7857 1\\n1\\n1069 8448 1\\n1\\n2983 3701 1\\n2\\n6398 6118 1\\n1\\n4264 7038 1\\n1\\n\",\n \"2 2 1\\n100 0 1\\n2\\n100 2 1\\n1\\n\",\n \"3 2 5\\n100 1 1\\n1\\n100 1 1\\n2\\n281 1 2\\n1 2\\n\",\n \"3 3 1000000000\\n1010000000 10 1\\n1\\n1000000000 10001 1\\n2\\n1000000000 10 1\\n3\\n\",\n \"1 1 1000000010\\n1000000000 1635596 1\\n1\\n\",\n \"3 3 1000000000\\n1010000000 10 1\\n1\\n1001000000 10001 1\\n2\\n1000000000 10 1\\n3\\n\",\n \"3 3 1000000100\\n1010000000 10 1\\n1\\n1001000000 10001 1\\n2\\n1000000000 10 1\\n3\\n\",\n \"9 10 612190254\\n647427374 898265852 5\\n2 5 6 7 9\\n327126452 43778674 2\\n3 6\\n428798466 894116011 8\\n1 2 3 4 6 7 8 9\\n371736034 715623413 6\\n1 5 6 7 9 10\\n562548898 887461531 5\\n1 2 4 5 8\\n397537442 434061945 3\\n1 3 7\\n948545278 759564726 3\\n1 5 6\\n785463564 977048557 8\\n1 2 3 4 5 7 8 10\\n524917958 125507729 6\\n2 3 4 7 9 10\\n\",\n \"3 3 1000000100\\n1010000000 10 1\\n1\\n1001000000 10101 1\\n2\\n1000000000 10 1\\n3\\n\",\n \"9 10 612190254\\n647427374 898265852 5\\n2 5 6 7 9\\n472776474 43778674 2\\n3 6\\n428798466 894116011 8\\n1 2 3 4 6 7 8 9\\n371736034 715623413 6\\n1 5 6 7 9 10\\n562548898 887461531 5\\n1 2 4 5 8\\n397537442 434061945 3\\n1 3 7\\n948545278 759564726 3\\n1 5 6\\n785463564 977048557 8\\n1 2 3 4 10 7 8 10\\n524917958 125507729 6\\n2 3 4 7 9 10\\n\",\n \"9 10 612190254\\n647427374 898265852 5\\n2 5 6 7 9\\n472776474 43778674 2\\n3 6\\n428798466 894116011 8\\n1 2 3 4 6 7 8 9\\n371736034 715623413 6\\n1 5 6 7 9 10\\n562548898 887461531 5\\n1 4 4 5 8\\n397537442 434061945 3\\n1 3 7\\n948545278 759564726 3\\n1 5 6\\n785463564 977048557 8\\n1 2 3 4 10 7 8 10\\n524917958 125507729 6\\n2 3 4 7 9 10\\n\",\n \"1 1 100000000\\n1 110000000 1\\n1\\n\",\n \"4 4 1000000000\\n1000100000 1000000000 1\\n1\\n1000000000 1000000000 1\\n2\\n1000000000 1000000000 1\\n3\\n1000000000 1000000000 1\\n4\\n\",\n \"1 1 0000000000\\n1 1000000000 1\\n1\\n\",\n \"20 5 49\\n2861 8983 2\\n2 3\\n784 8430 3\\n1 4 5\\n1620 1069 1\\n2\\n3087 5088 2\\n2 4\\n3701 4255 3\\n1 4 5\\n198 6398 2\\n2 5\\n8535 4264 2\\n1 4\\n9688 7243 3\\n3 4 5\\n9516 7770 2\\n3 4\\n5882 2436 2\\n3 4\\n1465 5869 3\\n3 4 5\\n3599 796 3\\n1 2 3\\n4236 3206 3\\n2 3 5\\n5856 5460 2\\n1 4\\n9014 4852 1\\n4\\n2242 6892 4\\n2 3 4 5\\n540 8012 2\\n1 5\\n4163 8444 2\\n1 2\\n3980 9132 3\\n1 2 3\\n3218 4175 3\\n1 3 4\\n\",\n \"24 1 360763164\\n62 711 1\\n1\\n89 1352 1\\n1\\n18 1448 1\\n1\\n76 1775 1\\n1\\n58 2392 1\\n1\\n11 3323 1\\n1\\n49 3649 1\\n1\\n49 3675 1\\n1\\n6 3787 1\\n1\\n47 3960 1\\n1\\n23 3981 1\\n1\\n72 4135 1\\n1\\n70 5170 1\\n1\\n17 5354 1\\n1\\n68 5948 1\\n1\\n77 5977 1\\n1\\n28 6077 1\\n1\\n13 6811 1\\n1\\n12 6954 1\\n1\\n72 7160 1\\n1\\n16 7823 1\\n1\\n50 8291 1\\n1\\n66 8895 1\\n1\\n39 9198 1\\n1\\n\",\n \"3 3 1000000000\\n1000000000 10 1\\n1\\n1000000010 10000 1\\n2\\n1000000000 10 1\\n3\\n\",\n \"2 2 123\\n10 7 1\\n2\\n20 6 1\\n2\\n\",\n \"4 2 1\\n62 91 1\\n1\\n2 10 1\\n1\\n33 76 1\\n1\\n23 58 1\\n1\\n\",\n \"1 3 1\\n1 1 1\\n1\\n\",\n \"4 4 1000000000\\n1000000000 1000000000 1\\n1\\n1000000000 1000000000 1\\n2\\n1000000000 1000000000 1\\n3\\n1000000000 1000100000 1\\n1\\n\",\n \"1 20 1000000000\\n1000000000 999999999 20\\n1 3 3 4 5 6 7 8 9 10 11 12 13 10 15 16 17 18 19 20\\n\",\n \"1 1 0000000000\\n1000000000 1000000100 1\\n1\\n\",\n \"6 6 100\\n4000 1 1\\n1\\n5646 1 1\\n2\\n4000 1 1\\n3\\n1 100 1\\n1\\n1 100 1\\n2\\n1 100 1\\n3\\n\",\n \"9 10 612190254\\n647427374 898265852 5\\n2 5 6 7 9\\n327126452 66103113 2\\n3 6\\n428798466 894116011 8\\n1 2 3 4 6 7 8 9\\n552295232 715623413 6\\n1 5 6 7 9 10\\n562548898 887461531 5\\n1 2 4 5 8\\n397537442 434061945 3\\n1 3 7\\n948545278 759564726 3\\n1 5 6\\n785463564 977048557 8\\n1 2 3 4 5 7 8 10\\n524917958 125507729 6\\n2 3 4 7 9 10\\n\",\n \"2 6 123\\n123 123 2\\n1 2\\n136 123 2\\n2 3\\n\",\n \"24 2 31\\n5162 8291 1\\n1\\n8802 218 1\\n1\\n1533 776 1\\n1\\n5823 8058 1\\n1\\n5132 611 1\\n1\\n5948 9496 1\\n1\\n8864 5447 1\\n1\\n2802 21 1\\n1\\n8630 4572 1\\n1\\n4917 6954 1\\n1\\n5577 7823 1\\n1\\n4328 5977 1\\n1\\n4113 5354 1\\n1\\n5512 5170 1\\n1\\n872 3323 1\\n1\\n3950 6811 1\\n1\\n2966 1775 1\\n1\\n711 3520 1\\n1\\n8983 2665 1\\n1\\n8430 7857 1\\n1\\n1069 8448 1\\n1\\n2983 3701 1\\n2\\n6398 6118 1\\n1\\n4264 7038 1\\n1\\n\",\n \"4 2 1\\n62 66 1\\n1\\n2 10 1\\n1\\n33 76 1\\n1\\n23 58 1\\n1\\n\",\n \"1 3 0\\n1 1 1\\n1\\n\",\n \"1 20 1000000000\\n1000000000 999999999 20\\n1 3 3 4 5 6 7 1 9 10 11 12 13 10 15 16 17 18 19 20\\n\",\n \"1 2 1000000010\\n1000000000 1635596 1\\n1\\n\",\n \"9 10 612190254\\n647427374 898265852 5\\n2 5 6 7 9\\n327126452 43778674 2\\n3 6\\n428798466 894116011 8\\n1 2 3 4 6 7 8 9\\n552295232 715623413 6\\n1 5 6 7 9 10\\n562548898 887461531 5\\n1 2 4 5 8\\n397537442 434061945 3\\n1 3 7\\n948545278 759564726 3\\n1 5 6\\n785463564 977048557 8\\n1 2 3 4 5 7 8 10\\n524917958 125507729 6\\n2 3 4 7 9 10\\n\",\n \"2 6 123\\n123 123 2\\n1 2\\n136 246 2\\n2 3\\n\",\n \"24 2 31\\n5162 14365 1\\n1\\n8802 218 1\\n1\\n1533 776 1\\n1\\n5823 8058 1\\n1\\n5132 611 1\\n1\\n5948 9496 1\\n1\\n8864 5447 1\\n1\\n2802 21 1\\n1\\n8630 4572 1\\n1\\n4917 6954 1\\n1\\n5577 7823 1\\n1\\n4328 5977 1\\n1\\n4113 5354 1\\n1\\n5512 5170 1\\n1\\n872 3323 1\\n1\\n3950 6811 1\\n1\\n2966 1775 1\\n1\\n711 3520 1\\n1\\n8983 2665 1\\n1\\n8430 7857 1\\n1\\n1069 8448 1\\n1\\n2983 3701 1\\n2\\n6398 6118 1\\n1\\n4264 7038 1\\n1\\n\",\n \"1 2 1000000010\\n1000000001 1635596 1\\n1\\n\",\n \"2 6 123\\n123 123 2\\n1 2\\n136 57 2\\n2 3\\n\",\n \"9 10 612190254\\n647427374 898265852 5\\n2 5 6 7 9\\n327126452 43778674 2\\n3 6\\n428798466 894116011 8\\n1 2 3 4 6 7 8 9\\n371736034 715623413 6\\n1 5 6 7 9 10\\n562548898 887461531 5\\n1 2 4 5 8\\n397537442 434061945 3\\n1 3 7\\n948545278 759564726 3\\n1 5 6\\n785463564 977048557 8\\n1 2 3 4 10 7 8 10\\n524917958 125507729 6\\n2 3 4 7 9 10\\n\",\n \"1 20 1000000000\\n1000000000 999999999 20\\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 12 17 18 19 20\\n\",\n \"1 2 1000000000\\n1000000000 1000000000 1\\n1\\n\"\n ],\n \"output\": [\n \"202\",\n \"-1\",\n \"205\",\n \"10000000000000001\",\n \"1000000004000000000\",\n \"1000000000000000000\",\n \"1000000000000000001\",\n \"1000000001000000000\",\n \"46480706738\",\n \"170811\",\n \"256502609666\",\n \"10003000000000\",\n \"1000000000000000\",\n \"5\",\n \"10003\",\n \"543295301492712182\",\n \"11\",\n \"1000000002\",\n \"5\",\n \"6615\",\n \"1000000001000000000\",\n \"1000000002\",\n \"15375\",\n \"-1\",\n \"4\",\n \"428\",\n \"20\",\n \"4428256343\",\n \"891\",\n \"-1\",\n \"1150722446589\",\n \"1000100004000000000\\n\",\n \"-1\\n\",\n \"1000000000\\n\",\n \"10003010000000\\n\",\n \"1635597000000000\\n\",\n \"10003\\n\",\n \"543295301492712182\\n\",\n \"1000000002\\n\",\n \"5\\n\",\n \"15388\\n\",\n \"118425\\n\",\n \"202\\n\",\n \"205\\n\",\n \"10004010000000\\n\",\n \"1635597016355960\\n\",\n \"10004011000000\\n\",\n \"10004012000100\\n\",\n \"543295301339530258\\n\",\n \"10104012010100\\n\",\n \"543295301409941248\\n\",\n \"543295301537321764\\n\",\n \"11000000000000001\\n\",\n \"1000000004000100000\\n\",\n \"1\\n\",\n \"170811\\n\",\n \"256502609666\\n\",\n \"10003000000010\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"1000000000\\n\",\n \"-1\\n\",\n \"543295301492712182\\n\",\n \"-1\\n\",\n \"118425\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"543295301492712182\\n\",\n \"-1\\n\",\n \"118425\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"543295301339530258\\n\",\n \"-1\\n\",\n \"-1\\n\"\n ]\n}"},"source":{"kind":"class label","value":"2","name":"CODEFORCES"}}},{"rowIdx":38266,"cells":{"id":{"kind":"string","value":"418_B. Cunning Gena_38266"},"description":{"kind":"string","value":"A boy named Gena really wants to get to the \"Russian Code Cup\" finals, or at least get a t-shirt. But the offered problems are too complex, so he made an arrangement with his n friends that they will solve the problems for him.\n\nThe participants are offered m problems on the contest. For each friend, Gena knows what problems he can solve. But Gena's friends won't agree to help Gena for nothing: the i-th friend asks Gena xi rubles for his help in solving all the problems he can. Also, the friend agreed to write a code for Gena only if Gena's computer is connected to at least ki monitors, each monitor costs b rubles.\n\nGena is careful with money, so he wants to spend as little money as possible to solve all the problems. Help Gena, tell him how to spend the smallest possible amount of money. Initially, there's no monitors connected to Gena's computer.\n\nInput\n\nThe first line contains three integers n, m and b (1 ≤ n ≤ 100; 1 ≤ m ≤ 20; 1 ≤ b ≤ 109) — the number of Gena's friends, the number of problems and the cost of a single monitor.\n\nThe following 2n lines describe the friends. Lines number 2i and (2i + 1) contain the information about the i-th friend. The 2i-th line contains three integers xi, ki and mi (1 ≤ xi ≤ 109; 1 ≤ ki ≤ 109; 1 ≤ mi ≤ m) — the desired amount of money, monitors and the number of problems the friend can solve. The (2i + 1)-th line contains mi distinct positive integers — the numbers of problems that the i-th friend can solve. The problems are numbered from 1 to m.\n\nOutput\n\nPrint the minimum amount of money Gena needs to spend to solve all the problems. Or print -1, if this cannot be achieved.\n\nExamples\n\nInput\n\n2 2 1\n100 1 1\n2\n100 2 1\n1\n\n\nOutput\n\n202\n\n\nInput\n\n3 2 5\n100 1 1\n1\n100 1 1\n2\n200 1 2\n1 2\n\n\nOutput\n\n205\n\n\nInput\n\n1 2 1\n1 1 1\n1\n\n\nOutput\n\n-1"},"code":{"kind":"string","value":"import java.io.*;\nimport java.util.Arrays;\nimport java.util.Comparator;\nimport java.util.StringTokenizer;\n\n/**\n * Built using CHelper plug-in\n * Actual solution is at the top\n */\npublic class Main {\n public static void main(String[] args) {\n InputStream inputStream = System.in;\n OutputStream outputStream = System.out;\n InputReader in = new InputReader(inputStream);\n PrintWriter out = new PrintWriter(outputStream);\n Task solver = new Task();\n solver.solve(1, in, out);\n out.close();\n }\n}\n\nclass Task {\n int n;\n int m;\n long b;\n int[] needMoney;\n int[] needMonitors;\n int[] canSolve;\n\n long solveWithDP(Integer[] order) {\n long[] dp = new long[1 << m];\n int cur = 0, nxt = 1;\n Arrays.fill(dp, -1);\n dp[0] = 0;\n long answer = Long.MAX_VALUE;\n for (int it = 0; it < n; it++) {\n int v = order[it];\n for (int i = 0; i < dp.length; i++) {\n if (dp[i] != -1) {\n int i2 = i | canSolve[v];\n if (dp[i2] == -1 || dp[i2] > dp[i] + needMoney[v]) {\n dp[i2] = dp[i] + needMoney[v];\n }\n }\n }\n long curAns = dp[(1 << m) - 1];\n if (curAns == -1) {\n curAns = Long.MAX_VALUE;\n } else {\n curAns += b * needMonitors[v];\n }\n answer = Math.min(answer, curAns);\n int t = cur;\n cur = nxt;\n nxt = t;\n }\n if (answer == Long.MAX_VALUE) {\n answer = -1;\n }\n return answer;\n }\n\n public void solve(int testNumber, InputReader in, PrintWriter out) {\n n = in.nextInt();\n m = in.nextInt();\n b = in.nextInt();\n needMoney = new int[n];\n needMonitors = new int[n];\n canSolve = new int[n];\n Integer[] order = new Integer[n];\n for (int i = 0; i < n; i++) {\n needMoney[i] = in.nextInt();\n needMonitors[i] = in.nextInt();\n int nt = in.nextInt();\n for (int j = 0; j < nt; j++) {\n int pos = in.nextInt() - 1;\n canSolve[i] |= (1 << pos);\n }\n order[i] = i;\n }\n Arrays.sort(order, new Comparator() {\n @Override\n public int compare(Integer o1, Integer o2) {\n return needMonitors[o1] - needMonitors[o2];\n }\n });\n out.println(solveWithDP(order));\n }\n}\n\nclass InputReader {\n private BufferedReader reader;\n private StringTokenizer tokenizer;\n\n public InputReader(InputStream stream) {\n reader = new BufferedReader(new InputStreamReader(stream));\n tokenizer = null;\n }\n\n public int nextInt() {\n return Integer.parseInt(next());\n }\n\n public String next() {\n while (tokenizer == null || !tokenizer.hasMoreTokens()) {\n try {\n tokenizer = new StringTokenizer(reader.readLine());\n } catch (IOException e) {\n throw new RuntimeException(e);\n }\n }\n return tokenizer.nextToken();\n }\n}\n"},"language":{"kind":"class label","value":"4","name":"JAVA"},"test_samples":{"kind":"string","value":"{\n \"input\": [\n \"2 2 1\\n100 1 1\\n2\\n100 2 1\\n1\\n\",\n \"1 2 1\\n1 1 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\"-1\\n\",\n \"543295301492712182\\n\",\n \"-1\\n\",\n \"118425\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"543295301339530258\\n\",\n \"-1\\n\",\n \"-1\\n\"\n ]\n}"},"source":{"kind":"class label","value":"2","name":"CODEFORCES"}}},{"rowIdx":38267,"cells":{"id":{"kind":"string","value":"444_E. DZY Loves Planting_38267"},"description":{"kind":"string","value":"DZY loves planting, and he enjoys solving tree problems.\n\nDZY has a weighted tree (connected undirected graph without cycles) containing n nodes (they are numbered from 1 to n). He defines the function g(x, y) (1 ≤ x, y ≤ n) as the longest edge in the shortest path between nodes x and y. Specially g(z, z) = 0 for every z.\n\nFor every integer sequence p1, p2, ..., pn (1 ≤ pi ≤ n), DZY defines f(p) as . \n\nDZY wants to find such a sequence p that f(p) has maximum possible value. But there is one more restriction: the element j can appear in p at most xj times.\n\nPlease, find the maximum possible f(p) under the described restrictions.\n\nInput\n\nThe first line contains an integer n (1 ≤ n ≤ 3000).\n\nEach of the next n - 1 lines contains three integers ai, bi, ci (1 ≤ ai, bi ≤ n; 1 ≤ ci ≤ 10000), denoting an edge between ai and bi with length ci. It is guaranteed that these edges form a tree.\n\nEach of the next n lines describes an element of sequence x. The j-th line contains an integer xj (1 ≤ xj ≤ n).\n\nOutput\n\nPrint a single integer representing the answer.\n\nExamples\n\nInput\n\n4\n1 2 1\n2 3 2\n3 4 3\n1\n1\n1\n1\n\n\nOutput\n\n2\n\n\nInput\n\n4\n1 2 1\n2 3 2\n3 4 3\n4\n4\n4\n4\n\n\nOutput\n\n3\n\nNote\n\nIn the first sample, one of the optimal p is [4, 3, 2, 1]."},"code":{"kind":"string","value":"#include \nusing namespace std;\nstruct Edge {\n int a, b, c;\n bool operator<(const Edge &r) const { return c < r.c; }\n};\nint N, x[3000], bl[3000];\nvector > edges[3000];\nEdge e[3000];\npair dfs(int n, int p) {\n if (bl[n]) return pair(0, 0);\n pair ret = pair(1, x[n]);\n for (int i = int(0); i < int(edges[n].size()); i++) {\n int next = edges[n][i].first;\n if (next == p) continue;\n pair t = dfs(next, n);\n ret.first += t.first;\n ret.second += t.second;\n }\n return ret;\n}\nvoid block(int n) {\n if (bl[n]) return;\n bl[n] = 1;\n for (int i = int(0); i < int(edges[n].size()); i++) block(edges[n][i].first);\n}\nint main() {\n int a, b, c;\n while (scanf(\"%d\", &N) != EOF) {\n for (int i = int(0); i < int(N); i++) edges[i].clear(), bl[i] = 0;\n for (int i = int(1); i < int(N); i++) {\n scanf(\"%d %d %d\", &a, &b, &c);\n a--, b--;\n e[i] = Edge{a, b, c};\n edges[a].push_back(pair(b, c));\n edges[b].push_back(pair(a, c));\n }\n sort(e + 1, e + N);\n for (int i = int(0); i < int(N); i++) {\n scanf(\"%d\", x + i);\n }\n int ac = 0, ans = 0;\n for (int i = N - 1; i; i--) {\n if (bl[e[i].a] || bl[e[i].b]) continue;\n pair t1 = dfs(e[i].a, e[i].b);\n pair t2 = dfs(e[i].b, e[i].a);\n if (t1.first < t2.first) swap(t1, t2), swap(e[i].b, e[i].a);\n if (t1.first > t2.second + ac) {\n ac += t2.second;\n bl[e[i].b] = 1;\n for (int j = int(0); j < int(edges[e[i].b].size()); j++) {\n int next = edges[e[i].b][j].first;\n if (next == e[i].a) continue;\n block(next);\n }\n } else {\n ans = e[i].c;\n break;\n }\n }\n printf(\"%d\\n\", ans);\n }\n return 0;\n}\n"},"language":{"kind":"class label","value":"2","name":"C++"},"test_samples":{"kind":"string","value":"{\n \"input\": [\n \"4\\n1 2 1\\n2 3 2\\n3 4 3\\n1\\n1\\n1\\n1\\n\",\n \"4\\n1 2 1\\n2 3 2\\n3 4 3\\n4\\n4\\n4\\n4\\n\",\n \"1\\n1\\n\",\n \"10\\n2 1 559\\n3 1 5707\\n4 2 9790\\n5 3 1591\\n6 1 7113\\n7 6 2413\\n8 6 3006\\n9 4 1935\\n10 6 5954\\n1\\n1\\n1\\n1\\n1\\n1\\n1\\n1\\n1\\n1\\n\",\n \"10\\n2 1 8760\\n3 1 3705\\n4 1 1862\\n5 2 7332\\n6 3 7015\\n7 5 4866\\n8 3 4465\\n9 7 8886\\n10 3 9362\\n2\\n5\\n5\\n4\\n4\\n5\\n4\\n5\\n1\\n2\\n\",\n \"2\\n1 2 10000\\n1\\n1\\n\",\n \"10\\n1 6 4890\\n2 6 2842\\n3 6 7059\\n4 6 3007\\n5 6 6195\\n7 6 3962\\n8 6 3413\\n9 6 7658\\n10 6 8049\\n3\\n3\\n3\\n1\\n4\\n4\\n5\\n2\\n1\\n1\\n\",\n \"10\\n2 1 2464\\n3 1 5760\\n4 3 9957\\n5 1 6517\\n6 4 8309\\n7 3 3176\\n8 7 1982\\n9 1 7312\\n10 2 3154\\n1\\n1\\n4\\n1\\n1\\n3\\n3\\n5\\n3\\n2\\n\",\n \"10\\n2 1 3921\\n3 2 3204\\n4 3 1912\\n5 4 6844\\n6 5 8197\\n7 6 7148\\n8 7 5912\\n9 8 104\\n10 9 5881\\n4\\n4\\n5\\n2\\n2\\n4\\n1\\n2\\n3\\n1\\n\",\n \"10\\n1 2 5577\\n3 2 6095\\n4 2 4743\\n5 2 2254\\n6 2 9771\\n7 2 7417\\n8 2 9342\\n9 2 2152\\n10 2 5785\\n1\\n1\\n1\\n1\\n1\\n1\\n1\\n1\\n1\\n1\\n\",\n \"10\\n2 1 5297\\n3 2 7674\\n4 1 1935\\n5 2 1941\\n6 3 1470\\n7 1 3823\\n8 2 4959\\n9 4 6866\\n10 9 2054\\n1\\n1\\n1\\n1\\n1\\n1\\n1\\n1\\n1\\n1\\n\",\n \"10\\n2 1 6818\\n3 2 9734\\n4 3 2234\\n5 4 3394\\n6 5 1686\\n7 6 3698\\n8 7 700\\n9 8 716\\n10 9 1586\\n1\\n1\\n1\\n1\\n1\\n1\\n1\\n1\\n1\\n1\\n\",\n \"1\\n2\\n\",\n \"2\\n1 2 10000\\n2\\n1\\n\",\n \"10\\n1 6 4890\\n2 6 2842\\n3 6 7059\\n4 6 3007\\n5 6 6195\\n7 6 3962\\n8 6 3413\\n9 6 7658\\n10 6 8049\\n3\\n3\\n2\\n1\\n4\\n4\\n5\\n2\\n1\\n1\\n\",\n \"10\\n2 1 2464\\n3 1 5760\\n4 3 9957\\n5 1 6517\\n6 4 8309\\n7 2 3176\\n8 7 1982\\n9 1 7312\\n10 2 3154\\n1\\n1\\n4\\n1\\n1\\n3\\n3\\n5\\n3\\n2\\n\",\n \"10\\n2 1 3921\\n3 2 3204\\n4 3 1912\\n5 4 6844\\n6 5 8197\\n7 6 7148\\n8 7 5912\\n9 8 104\\n10 9 5881\\n6\\n4\\n5\\n2\\n2\\n4\\n1\\n2\\n3\\n1\\n\",\n \"10\\n2 1 5297\\n3 2 7674\\n4 2 1935\\n5 2 1941\\n6 3 1470\\n7 1 3823\\n8 2 4959\\n9 4 6866\\n10 9 2054\\n1\\n1\\n1\\n1\\n1\\n1\\n1\\n1\\n1\\n1\\n\",\n \"10\\n2 1 6915\\n3 2 9734\\n4 3 2234\\n5 4 3394\\n6 5 1686\\n7 6 3698\\n8 7 700\\n9 8 716\\n10 9 1586\\n1\\n1\\n1\\n1\\n1\\n1\\n1\\n1\\n1\\n1\\n\",\n \"4\\n1 2 1\\n2 3 2\\n3 4 5\\n1\\n1\\n1\\n1\\n\",\n \"4\\n1 3 1\\n2 3 2\\n3 4 3\\n4\\n4\\n4\\n4\\n\",\n \"10\\n2 1 8760\\n3 1 3705\\n4 1 1862\\n5 2 7332\\n6 3 7015\\n7 5 4866\\n8 3 4465\\n9 7 4213\\n10 3 9362\\n2\\n5\\n5\\n4\\n4\\n5\\n4\\n5\\n1\\n2\\n\",\n \"10\\n1 3 5577\\n3 2 6095\\n4 2 4743\\n5 2 2254\\n6 2 9771\\n7 2 7417\\n8 2 9342\\n9 2 2152\\n10 2 5785\\n1\\n1\\n1\\n1\\n1\\n1\\n1\\n1\\n1\\n1\\n\",\n \"10\\n1 10 4313\\n2 6 2842\\n3 6 7059\\n4 6 3007\\n5 6 6195\\n7 6 3962\\n8 6 3413\\n9 6 7658\\n10 6 8049\\n3\\n3\\n2\\n1\\n4\\n4\\n5\\n2\\n1\\n1\\n\",\n \"1\\n0\\n\",\n \"10\\n2 1 2464\\n3 1 5760\\n4 3 9957\\n5 1 6517\\n6 4 8309\\n7 2 3176\\n8 7 1982\\n9 1 7312\\n10 2 3154\\n1\\n1\\n4\\n1\\n1\\n3\\n3\\n5\\n3\\n4\\n\",\n \"4\\n1 3 1\\n2 3 2\\n3 4 3\\n4\\n5\\n4\\n4\\n\",\n \"1\\n-1\\n\",\n \"1\\n3\\n\",\n \"10\\n2 1 2464\\n3 1 5760\\n4 3 9957\\n5 1 6517\\n6 4 8309\\n7 3 846\\n8 7 1982\\n9 1 7312\\n10 2 3154\\n1\\n1\\n4\\n1\\n1\\n3\\n3\\n5\\n3\\n2\\n\",\n \"10\\n2 1 3921\\n3 2 975\\n4 3 1912\\n5 4 6844\\n6 5 8197\\n7 6 7148\\n8 7 5912\\n9 8 104\\n10 9 5881\\n4\\n4\\n5\\n2\\n2\\n4\\n1\\n2\\n3\\n1\\n\",\n \"10\\n2 1 5297\\n3 2 7674\\n4 1 420\\n5 2 1941\\n6 3 1470\\n7 1 3823\\n8 2 4959\\n9 4 6866\\n10 9 2054\\n1\\n1\\n1\\n1\\n1\\n1\\n1\\n1\\n1\\n1\\n\",\n \"10\\n2 1 6818\\n3 2 9734\\n4 3 2234\\n5 4 3394\\n6 5 1686\\n7 6 3698\\n8 7 700\\n9 8 716\\n10 9 1586\\n2\\n1\\n1\\n1\\n1\\n1\\n1\\n1\\n1\\n1\\n\",\n \"4\\n1 4 1\\n2 3 2\\n3 4 3\\n1\\n1\\n1\\n1\\n\",\n \"10\\n1 6 4612\\n2 6 2842\\n3 6 7059\\n4 6 3007\\n5 6 6195\\n7 6 3962\\n8 6 3413\\n9 6 7658\\n10 6 8049\\n3\\n3\\n2\\n1\\n4\\n4\\n5\\n2\\n1\\n1\\n\",\n \"10\\n2 1 2464\\n3 1 5760\\n4 3 9957\\n5 2 6517\\n6 4 8309\\n7 2 3176\\n8 7 1982\\n9 1 7312\\n10 2 3154\\n1\\n1\\n4\\n1\\n1\\n3\\n3\\n5\\n3\\n2\\n\",\n \"10\\n2 1 3921\\n3 2 3204\\n4 3 2854\\n5 4 6844\\n6 5 8197\\n7 6 7148\\n8 7 5912\\n9 8 104\\n10 9 5881\\n6\\n4\\n5\\n2\\n2\\n4\\n1\\n2\\n3\\n1\\n\",\n \"10\\n2 1 6915\\n3 2 9734\\n4 3 2234\\n5 4 364\\n6 5 1686\\n7 6 3698\\n8 7 700\\n9 8 716\\n10 9 1586\\n1\\n1\\n1\\n1\\n1\\n1\\n1\\n1\\n1\\n1\\n\",\n \"4\\n1 2 1\\n2 3 2\\n3 4 5\\n1\\n1\\n2\\n1\\n\",\n \"4\\n1 3 1\\n2 3 2\\n3 4 3\\n4\\n5\\n6\\n4\\n\",\n \"1\\n5\\n\",\n \"10\\n2 1 8760\\n3 1 3705\\n4 1 1862\\n5 2 7332\\n6 3 7015\\n7 5 4866\\n8 3 4465\\n9 7 4213\\n10 3 9362\\n2\\n5\\n5\\n4\\n4\\n2\\n4\\n5\\n1\\n2\\n\",\n \"10\\n2 1 2464\\n3 1 5760\\n4 3 9957\\n5 1 6517\\n6 4 8309\\n7 3 846\\n8 7 1982\\n9 1 7312\\n10 2 3154\\n1\\n1\\n4\\n1\\n1\\n3\\n3\\n5\\n3\\n3\\n\",\n \"10\\n1 3 9791\\n3 2 6095\\n4 2 4743\\n5 2 2254\\n6 2 9771\\n7 2 7417\\n8 2 9342\\n9 2 2152\\n10 2 5785\\n1\\n1\\n1\\n1\\n1\\n1\\n1\\n1\\n1\\n1\\n\",\n \"10\\n2 1 5297\\n3 2 7674\\n4 1 420\\n5 2 1941\\n6 3 1515\\n7 1 3823\\n8 2 4959\\n9 4 6866\\n10 9 2054\\n1\\n1\\n1\\n1\\n1\\n1\\n1\\n1\\n1\\n1\\n\",\n \"4\\n1 4 0\\n2 3 2\\n3 4 3\\n1\\n1\\n1\\n1\\n\",\n \"10\\n1 6 4313\\n2 6 2842\\n3 6 7059\\n4 6 3007\\n5 6 6195\\n7 6 3962\\n8 6 3413\\n9 6 7658\\n10 6 8049\\n3\\n3\\n2\\n1\\n4\\n4\\n5\\n2\\n1\\n1\\n\",\n \"10\\n2 1 2464\\n3 1 5760\\n4 3 9957\\n5 2 6517\\n6 4 8309\\n7 2 3176\\n8 7 1982\\n9 1 7312\\n10 2 3154\\n0\\n1\\n4\\n1\\n1\\n3\\n3\\n5\\n3\\n2\\n\",\n \"10\\n2 1 3921\\n3 2 3204\\n4 3 2854\\n5 4 6844\\n6 5 8197\\n7 6 7148\\n8 7 5912\\n9 8 104\\n10 9 5881\\n1\\n4\\n5\\n2\\n2\\n4\\n1\\n2\\n3\\n1\\n\",\n \"4\\n1 2 1\\n2 3 2\\n3 4 5\\n1\\n0\\n2\\n1\\n\",\n \"1\\n8\\n\",\n \"10\\n2 1 8760\\n3 1 3705\\n4 1 1862\\n5 2 7332\\n6 3 7015\\n7 5 4866\\n8 3 4465\\n9 7 4213\\n10 3 9362\\n2\\n5\\n5\\n4\\n4\\n2\\n4\\n7\\n1\\n2\\n\",\n \"10\\n2 1 2464\\n3 1 5760\\n4 3 9957\\n5 1 6517\\n6 4 5661\\n7 3 846\\n8 7 1982\\n9 1 7312\\n10 2 3154\\n1\\n1\\n4\\n1\\n1\\n3\\n3\\n5\\n3\\n3\\n\",\n \"10\\n2 1 2464\\n3 1 5760\\n4 3 9957\\n5 2 6517\\n6 4 8309\\n7 2 3176\\n8 7 1982\\n9 1 7312\\n10 2 3154\\n0\\n1\\n4\\n1\\n1\\n4\\n3\\n5\\n3\\n2\\n\",\n \"10\\n2 1 3921\\n3 2 3204\\n4 3 2854\\n5 4 6844\\n6 5 8197\\n7 6 7148\\n8 7 5912\\n9 8 104\\n10 9 5881\\n1\\n4\\n5\\n2\\n2\\n4\\n1\\n2\\n3\\n0\\n\",\n \"10\\n2 1 2464\\n3 1 5760\\n4 3 9957\\n5 1 6517\\n6 4 5661\\n7 3 846\\n8 7 1982\\n9 1 7312\\n10 2 3139\\n1\\n1\\n4\\n1\\n1\\n3\\n3\\n5\\n3\\n3\\n\",\n \"10\\n2 1 2464\\n3 1 5760\\n4 1 9957\\n5 2 6517\\n6 4 8309\\n7 2 3176\\n8 7 1982\\n9 1 7312\\n10 2 3154\\n0\\n1\\n4\\n1\\n1\\n4\\n3\\n5\\n3\\n2\\n\"\n ],\n \"output\": [\n \"2\\n\",\n \"3\\n\",\n \"0\\n\",\n \"7113\\n\",\n \"8760\\n\",\n \"10000\\n\",\n \"6195\\n\",\n \"7312\\n\",\n \"8197\\n\",\n \"5785\\n\",\n \"5297\\n\",\n \"3698\\n\",\n \"0\\n\",\n \"10000\\n\",\n \"6195\\n\",\n \"7312\\n\",\n \"8197\\n\",\n \"5297\\n\",\n \"3698\\n\",\n \"2\\n\",\n \"3\\n\",\n \"8760\\n\",\n \"6095\\n\",\n \"7059\\n\",\n \"0\\n\",\n \"7312\\n\",\n \"3\\n\",\n \"0\\n\",\n \"0\\n\",\n \"7312\\n\",\n \"8197\\n\",\n \"5297\\n\",\n \"3698\\n\",\n \"3\\n\",\n \"6195\\n\",\n \"7312\\n\",\n \"8197\\n\",\n \"3698\\n\",\n \"2\\n\",\n \"3\\n\",\n \"0\\n\",\n \"8760\\n\",\n \"7312\\n\",\n \"6095\\n\",\n \"5297\\n\",\n \"3\\n\",\n \"6195\\n\",\n \"7312\\n\",\n \"8197\\n\",\n \"2\\n\",\n \"0\\n\",\n \"8760\\n\",\n \"7312\\n\",\n \"7312\\n\",\n \"8197\\n\",\n \"7312\\n\",\n \"7312\\n\"\n ]\n}"},"source":{"kind":"class label","value":"2","name":"CODEFORCES"}}},{"rowIdx":38268,"cells":{"id":{"kind":"string","value":"444_E. DZY Loves Planting_38268"},"description":{"kind":"string","value":"DZY loves planting, and he enjoys solving tree problems.\n\nDZY has a weighted tree (connected undirected graph without cycles) containing n nodes (they are numbered from 1 to n). He defines the function g(x, y) (1 ≤ x, y ≤ n) as the longest edge in the shortest path between nodes x and y. Specially g(z, z) = 0 for every z.\n\nFor every integer sequence p1, p2, ..., pn (1 ≤ pi ≤ n), DZY defines f(p) as . \n\nDZY wants to find such a sequence p that f(p) has maximum possible value. But there is one more restriction: the element j can appear in p at most xj times.\n\nPlease, find the maximum possible f(p) under the described restrictions.\n\nInput\n\nThe first line contains an integer n (1 ≤ n ≤ 3000).\n\nEach of the next n - 1 lines contains three integers ai, bi, ci (1 ≤ ai, bi ≤ n; 1 ≤ ci ≤ 10000), denoting an edge between ai and bi with length ci. It is guaranteed that these edges form a tree.\n\nEach of the next n lines describes an element of sequence x. The j-th line contains an integer xj (1 ≤ xj ≤ n).\n\nOutput\n\nPrint a single integer representing the answer.\n\nExamples\n\nInput\n\n4\n1 2 1\n2 3 2\n3 4 3\n1\n1\n1\n1\n\n\nOutput\n\n2\n\n\nInput\n\n4\n1 2 1\n2 3 2\n3 4 3\n4\n4\n4\n4\n\n\nOutput\n\n3\n\nNote\n\nIn the first sample, one of the optimal p is [4, 3, 2, 1]."},"code":{"kind":"string","value":"n = int(input())\nedges = [[int(x) for x in input().split()] for i in range(n-1)]\nedges = sorted(edges)\nuse_count = [0]+[int(input()) for i in range(n)]\nlo,hi = 0,10000\ndef getpar(par,u):\n if par[par[u]] == par[u]:\n return par[u]\n par[u] = getpar(par,par[u])\n return par[u]\ndef unite(par,sz,use,u,v):\n u = getpar(par,u)\n v = getpar(par,v)\n par[u] = v\n sz[v] += sz[u]\n use[v] += use[u]\ndef solve(fp):\n par = [i for i in range(n+1)]\n sz = [1 for i in range(n+1)]\n use = [use_count[i] for i in range(n+1)]\n for edge in edges:\n if edge[2] < fp:\n unite(par,sz,use,edge[0],edge[1])\n total_use = sum(use_count)\n for i in range(n+1):\n p = getpar(par,i)\n if(p == i):\n if(total_use - use[p] < sz[p]):\n return False\n return True\nwhile lo < hi:\n mid = (lo+hi+1)//2\n if solve(mid):\n lo = mid\n else:\n hi = mid-1\nprint(lo)\n"},"language":{"kind":"class label","value":"3","name":"Python3"},"test_samples":{"kind":"string","value":"{\n \"input\": [\n \"4\\n1 2 1\\n2 3 2\\n3 4 3\\n1\\n1\\n1\\n1\\n\",\n \"4\\n1 2 1\\n2 3 2\\n3 4 3\\n4\\n4\\n4\\n4\\n\",\n \"1\\n1\\n\",\n \"10\\n2 1 559\\n3 1 5707\\n4 2 9790\\n5 3 1591\\n6 1 7113\\n7 6 2413\\n8 6 3006\\n9 4 1935\\n10 6 5954\\n1\\n1\\n1\\n1\\n1\\n1\\n1\\n1\\n1\\n1\\n\",\n \"10\\n2 1 8760\\n3 1 3705\\n4 1 1862\\n5 2 7332\\n6 3 7015\\n7 5 4866\\n8 3 4465\\n9 7 8886\\n10 3 9362\\n2\\n5\\n5\\n4\\n4\\n5\\n4\\n5\\n1\\n2\\n\",\n \"2\\n1 2 10000\\n1\\n1\\n\",\n \"10\\n1 6 4890\\n2 6 2842\\n3 6 7059\\n4 6 3007\\n5 6 6195\\n7 6 3962\\n8 6 3413\\n9 6 7658\\n10 6 8049\\n3\\n3\\n3\\n1\\n4\\n4\\n5\\n2\\n1\\n1\\n\",\n \"10\\n2 1 2464\\n3 1 5760\\n4 3 9957\\n5 1 6517\\n6 4 8309\\n7 3 3176\\n8 7 1982\\n9 1 7312\\n10 2 3154\\n1\\n1\\n4\\n1\\n1\\n3\\n3\\n5\\n3\\n2\\n\",\n \"10\\n2 1 3921\\n3 2 3204\\n4 3 1912\\n5 4 6844\\n6 5 8197\\n7 6 7148\\n8 7 5912\\n9 8 104\\n10 9 5881\\n4\\n4\\n5\\n2\\n2\\n4\\n1\\n2\\n3\\n1\\n\",\n \"10\\n1 2 5577\\n3 2 6095\\n4 2 4743\\n5 2 2254\\n6 2 9771\\n7 2 7417\\n8 2 9342\\n9 2 2152\\n10 2 5785\\n1\\n1\\n1\\n1\\n1\\n1\\n1\\n1\\n1\\n1\\n\",\n \"10\\n2 1 5297\\n3 2 7674\\n4 1 1935\\n5 2 1941\\n6 3 1470\\n7 1 3823\\n8 2 4959\\n9 4 6866\\n10 9 2054\\n1\\n1\\n1\\n1\\n1\\n1\\n1\\n1\\n1\\n1\\n\",\n \"10\\n2 1 6818\\n3 2 9734\\n4 3 2234\\n5 4 3394\\n6 5 1686\\n7 6 3698\\n8 7 700\\n9 8 716\\n10 9 1586\\n1\\n1\\n1\\n1\\n1\\n1\\n1\\n1\\n1\\n1\\n\",\n \"1\\n2\\n\",\n \"2\\n1 2 10000\\n2\\n1\\n\",\n \"10\\n1 6 4890\\n2 6 2842\\n3 6 7059\\n4 6 3007\\n5 6 6195\\n7 6 3962\\n8 6 3413\\n9 6 7658\\n10 6 8049\\n3\\n3\\n2\\n1\\n4\\n4\\n5\\n2\\n1\\n1\\n\",\n \"10\\n2 1 2464\\n3 1 5760\\n4 3 9957\\n5 1 6517\\n6 4 8309\\n7 2 3176\\n8 7 1982\\n9 1 7312\\n10 2 3154\\n1\\n1\\n4\\n1\\n1\\n3\\n3\\n5\\n3\\n2\\n\",\n \"10\\n2 1 3921\\n3 2 3204\\n4 3 1912\\n5 4 6844\\n6 5 8197\\n7 6 7148\\n8 7 5912\\n9 8 104\\n10 9 5881\\n6\\n4\\n5\\n2\\n2\\n4\\n1\\n2\\n3\\n1\\n\",\n \"10\\n2 1 5297\\n3 2 7674\\n4 2 1935\\n5 2 1941\\n6 3 1470\\n7 1 3823\\n8 2 4959\\n9 4 6866\\n10 9 2054\\n1\\n1\\n1\\n1\\n1\\n1\\n1\\n1\\n1\\n1\\n\",\n \"10\\n2 1 6915\\n3 2 9734\\n4 3 2234\\n5 4 3394\\n6 5 1686\\n7 6 3698\\n8 7 700\\n9 8 716\\n10 9 1586\\n1\\n1\\n1\\n1\\n1\\n1\\n1\\n1\\n1\\n1\\n\",\n \"4\\n1 2 1\\n2 3 2\\n3 4 5\\n1\\n1\\n1\\n1\\n\",\n \"4\\n1 3 1\\n2 3 2\\n3 4 3\\n4\\n4\\n4\\n4\\n\",\n \"10\\n2 1 8760\\n3 1 3705\\n4 1 1862\\n5 2 7332\\n6 3 7015\\n7 5 4866\\n8 3 4465\\n9 7 4213\\n10 3 9362\\n2\\n5\\n5\\n4\\n4\\n5\\n4\\n5\\n1\\n2\\n\",\n \"10\\n1 3 5577\\n3 2 6095\\n4 2 4743\\n5 2 2254\\n6 2 9771\\n7 2 7417\\n8 2 9342\\n9 2 2152\\n10 2 5785\\n1\\n1\\n1\\n1\\n1\\n1\\n1\\n1\\n1\\n1\\n\",\n \"10\\n1 10 4313\\n2 6 2842\\n3 6 7059\\n4 6 3007\\n5 6 6195\\n7 6 3962\\n8 6 3413\\n9 6 7658\\n10 6 8049\\n3\\n3\\n2\\n1\\n4\\n4\\n5\\n2\\n1\\n1\\n\",\n \"1\\n0\\n\",\n \"10\\n2 1 2464\\n3 1 5760\\n4 3 9957\\n5 1 6517\\n6 4 8309\\n7 2 3176\\n8 7 1982\\n9 1 7312\\n10 2 3154\\n1\\n1\\n4\\n1\\n1\\n3\\n3\\n5\\n3\\n4\\n\",\n \"4\\n1 3 1\\n2 3 2\\n3 4 3\\n4\\n5\\n4\\n4\\n\",\n \"1\\n-1\\n\",\n \"1\\n3\\n\",\n \"10\\n2 1 2464\\n3 1 5760\\n4 3 9957\\n5 1 6517\\n6 4 8309\\n7 3 846\\n8 7 1982\\n9 1 7312\\n10 2 3154\\n1\\n1\\n4\\n1\\n1\\n3\\n3\\n5\\n3\\n2\\n\",\n \"10\\n2 1 3921\\n3 2 975\\n4 3 1912\\n5 4 6844\\n6 5 8197\\n7 6 7148\\n8 7 5912\\n9 8 104\\n10 9 5881\\n4\\n4\\n5\\n2\\n2\\n4\\n1\\n2\\n3\\n1\\n\",\n \"10\\n2 1 5297\\n3 2 7674\\n4 1 420\\n5 2 1941\\n6 3 1470\\n7 1 3823\\n8 2 4959\\n9 4 6866\\n10 9 2054\\n1\\n1\\n1\\n1\\n1\\n1\\n1\\n1\\n1\\n1\\n\",\n \"10\\n2 1 6818\\n3 2 9734\\n4 3 2234\\n5 4 3394\\n6 5 1686\\n7 6 3698\\n8 7 700\\n9 8 716\\n10 9 1586\\n2\\n1\\n1\\n1\\n1\\n1\\n1\\n1\\n1\\n1\\n\",\n \"4\\n1 4 1\\n2 3 2\\n3 4 3\\n1\\n1\\n1\\n1\\n\",\n \"10\\n1 6 4612\\n2 6 2842\\n3 6 7059\\n4 6 3007\\n5 6 6195\\n7 6 3962\\n8 6 3413\\n9 6 7658\\n10 6 8049\\n3\\n3\\n2\\n1\\n4\\n4\\n5\\n2\\n1\\n1\\n\",\n \"10\\n2 1 2464\\n3 1 5760\\n4 3 9957\\n5 2 6517\\n6 4 8309\\n7 2 3176\\n8 7 1982\\n9 1 7312\\n10 2 3154\\n1\\n1\\n4\\n1\\n1\\n3\\n3\\n5\\n3\\n2\\n\",\n \"10\\n2 1 3921\\n3 2 3204\\n4 3 2854\\n5 4 6844\\n6 5 8197\\n7 6 7148\\n8 7 5912\\n9 8 104\\n10 9 5881\\n6\\n4\\n5\\n2\\n2\\n4\\n1\\n2\\n3\\n1\\n\",\n \"10\\n2 1 6915\\n3 2 9734\\n4 3 2234\\n5 4 364\\n6 5 1686\\n7 6 3698\\n8 7 700\\n9 8 716\\n10 9 1586\\n1\\n1\\n1\\n1\\n1\\n1\\n1\\n1\\n1\\n1\\n\",\n \"4\\n1 2 1\\n2 3 2\\n3 4 5\\n1\\n1\\n2\\n1\\n\",\n \"4\\n1 3 1\\n2 3 2\\n3 4 3\\n4\\n5\\n6\\n4\\n\",\n \"1\\n5\\n\",\n \"10\\n2 1 8760\\n3 1 3705\\n4 1 1862\\n5 2 7332\\n6 3 7015\\n7 5 4866\\n8 3 4465\\n9 7 4213\\n10 3 9362\\n2\\n5\\n5\\n4\\n4\\n2\\n4\\n5\\n1\\n2\\n\",\n \"10\\n2 1 2464\\n3 1 5760\\n4 3 9957\\n5 1 6517\\n6 4 8309\\n7 3 846\\n8 7 1982\\n9 1 7312\\n10 2 3154\\n1\\n1\\n4\\n1\\n1\\n3\\n3\\n5\\n3\\n3\\n\",\n \"10\\n1 3 9791\\n3 2 6095\\n4 2 4743\\n5 2 2254\\n6 2 9771\\n7 2 7417\\n8 2 9342\\n9 2 2152\\n10 2 5785\\n1\\n1\\n1\\n1\\n1\\n1\\n1\\n1\\n1\\n1\\n\",\n \"10\\n2 1 5297\\n3 2 7674\\n4 1 420\\n5 2 1941\\n6 3 1515\\n7 1 3823\\n8 2 4959\\n9 4 6866\\n10 9 2054\\n1\\n1\\n1\\n1\\n1\\n1\\n1\\n1\\n1\\n1\\n\",\n \"4\\n1 4 0\\n2 3 2\\n3 4 3\\n1\\n1\\n1\\n1\\n\",\n \"10\\n1 6 4313\\n2 6 2842\\n3 6 7059\\n4 6 3007\\n5 6 6195\\n7 6 3962\\n8 6 3413\\n9 6 7658\\n10 6 8049\\n3\\n3\\n2\\n1\\n4\\n4\\n5\\n2\\n1\\n1\\n\",\n \"10\\n2 1 2464\\n3 1 5760\\n4 3 9957\\n5 2 6517\\n6 4 8309\\n7 2 3176\\n8 7 1982\\n9 1 7312\\n10 2 3154\\n0\\n1\\n4\\n1\\n1\\n3\\n3\\n5\\n3\\n2\\n\",\n \"10\\n2 1 3921\\n3 2 3204\\n4 3 2854\\n5 4 6844\\n6 5 8197\\n7 6 7148\\n8 7 5912\\n9 8 104\\n10 9 5881\\n1\\n4\\n5\\n2\\n2\\n4\\n1\\n2\\n3\\n1\\n\",\n \"4\\n1 2 1\\n2 3 2\\n3 4 5\\n1\\n0\\n2\\n1\\n\",\n \"1\\n8\\n\",\n \"10\\n2 1 8760\\n3 1 3705\\n4 1 1862\\n5 2 7332\\n6 3 7015\\n7 5 4866\\n8 3 4465\\n9 7 4213\\n10 3 9362\\n2\\n5\\n5\\n4\\n4\\n2\\n4\\n7\\n1\\n2\\n\",\n \"10\\n2 1 2464\\n3 1 5760\\n4 3 9957\\n5 1 6517\\n6 4 5661\\n7 3 846\\n8 7 1982\\n9 1 7312\\n10 2 3154\\n1\\n1\\n4\\n1\\n1\\n3\\n3\\n5\\n3\\n3\\n\",\n \"10\\n2 1 2464\\n3 1 5760\\n4 3 9957\\n5 2 6517\\n6 4 8309\\n7 2 3176\\n8 7 1982\\n9 1 7312\\n10 2 3154\\n0\\n1\\n4\\n1\\n1\\n4\\n3\\n5\\n3\\n2\\n\",\n \"10\\n2 1 3921\\n3 2 3204\\n4 3 2854\\n5 4 6844\\n6 5 8197\\n7 6 7148\\n8 7 5912\\n9 8 104\\n10 9 5881\\n1\\n4\\n5\\n2\\n2\\n4\\n1\\n2\\n3\\n0\\n\",\n \"10\\n2 1 2464\\n3 1 5760\\n4 3 9957\\n5 1 6517\\n6 4 5661\\n7 3 846\\n8 7 1982\\n9 1 7312\\n10 2 3139\\n1\\n1\\n4\\n1\\n1\\n3\\n3\\n5\\n3\\n3\\n\",\n \"10\\n2 1 2464\\n3 1 5760\\n4 1 9957\\n5 2 6517\\n6 4 8309\\n7 2 3176\\n8 7 1982\\n9 1 7312\\n10 2 3154\\n0\\n1\\n4\\n1\\n1\\n4\\n3\\n5\\n3\\n2\\n\"\n ],\n \"output\": [\n \"2\\n\",\n \"3\\n\",\n \"0\\n\",\n \"7113\\n\",\n \"8760\\n\",\n \"10000\\n\",\n \"6195\\n\",\n \"7312\\n\",\n \"8197\\n\",\n \"5785\\n\",\n \"5297\\n\",\n \"3698\\n\",\n \"0\\n\",\n \"10000\\n\",\n \"6195\\n\",\n \"7312\\n\",\n \"8197\\n\",\n \"5297\\n\",\n \"3698\\n\",\n \"2\\n\",\n \"3\\n\",\n \"8760\\n\",\n \"6095\\n\",\n \"7059\\n\",\n \"0\\n\",\n \"7312\\n\",\n \"3\\n\",\n \"0\\n\",\n \"0\\n\",\n \"7312\\n\",\n \"8197\\n\",\n \"5297\\n\",\n \"3698\\n\",\n \"3\\n\",\n \"6195\\n\",\n \"7312\\n\",\n \"8197\\n\",\n \"3698\\n\",\n \"2\\n\",\n \"3\\n\",\n \"0\\n\",\n \"8760\\n\",\n \"7312\\n\",\n \"6095\\n\",\n \"5297\\n\",\n \"3\\n\",\n \"6195\\n\",\n \"7312\\n\",\n \"8197\\n\",\n \"2\\n\",\n \"0\\n\",\n \"8760\\n\",\n \"7312\\n\",\n \"7312\\n\",\n \"8197\\n\",\n \"7312\\n\",\n \"7312\\n\"\n ]\n}"},"source":{"kind":"class label","value":"2","name":"CODEFORCES"}}},{"rowIdx":38269,"cells":{"id":{"kind":"string","value":"444_E. DZY Loves Planting_38269"},"description":{"kind":"string","value":"DZY loves planting, and he enjoys solving tree problems.\n\nDZY has a weighted tree (connected undirected graph without cycles) containing n nodes (they are numbered from 1 to n). He defines the function g(x, y) (1 ≤ x, y ≤ n) as the longest edge in the shortest path between nodes x and y. Specially g(z, z) = 0 for every z.\n\nFor every integer sequence p1, p2, ..., pn (1 ≤ pi ≤ n), DZY defines f(p) as . \n\nDZY wants to find such a sequence p that f(p) has maximum possible value. But there is one more restriction: the element j can appear in p at most xj times.\n\nPlease, find the maximum possible f(p) under the described restrictions.\n\nInput\n\nThe first line contains an integer n (1 ≤ n ≤ 3000).\n\nEach of the next n - 1 lines contains three integers ai, bi, ci (1 ≤ ai, bi ≤ n; 1 ≤ ci ≤ 10000), denoting an edge between ai and bi with length ci. It is guaranteed that these edges form a tree.\n\nEach of the next n lines describes an element of sequence x. The j-th line contains an integer xj (1 ≤ xj ≤ n).\n\nOutput\n\nPrint a single integer representing the answer.\n\nExamples\n\nInput\n\n4\n1 2 1\n2 3 2\n3 4 3\n1\n1\n1\n1\n\n\nOutput\n\n2\n\n\nInput\n\n4\n1 2 1\n2 3 2\n3 4 3\n4\n4\n4\n4\n\n\nOutput\n\n3\n\nNote\n\nIn the first sample, one of the optimal p is [4, 3, 2, 1]."},"code":{"kind":"string","value":"//package round254;\nimport java.io.ByteArrayInputStream;\nimport java.io.IOException;\nimport java.io.InputStream;\nimport java.io.PrintWriter;\nimport java.util.ArrayList;\nimport java.util.Arrays;\nimport java.util.InputMismatchException;\nimport java.util.List;\n\npublic class E {\n\tInputStream is;\n\tPrintWriter out;\n\tString INPUT = \"\";\n\t\n\tvoid solve()\n\t{\n\t\tint n = ni();\n\t\tint[] from = new int[n-1];\n\t\tint[] to = new int[n-1];\n\t\tint[] w = new int[n-1];\n\t\tfor(int i = 0;i < n-1;i++){\n\t\t\tfrom[i] = ni()-1;\n\t\t\tto[i] = ni()-1;\n\t\t\tw[i] = ni();\n\t\t}\n\t\tint[] x = na(n);\n\t\tint[][][] g = packWU(n, from, to, w);\n\t\tint[][] pars = parents(g, 0);\n\t\tint[] par = pars[0], ord = pars[1], pw = pars[4];\n\t\t\n\t\tint low = 0, high = 10001;\n\t\twhile(high - low > 1){\n\t\t\tint h = high+low>>>1;\n\t\t\tint[] dp = new int[n];\n\t\t\tint[] des = new int[n];\n\t\t\t\n\t\t\tint[] xs = new int[n];\n\t\t\tint[] dess = new int[n];\n\t\t\tint p = 0;\n\t\t\t\n\t\t\tfor(int i = n-1;i >= 0;i--){\n\t\t\t\tint cur = ord[i];\n\t\t\t\tdp[cur] += x[cur];\n\t\t\t\tdes[cur]++;\n\t\t\t\tfor(int[] e : g[cur]){\n\t\t\t\t\tif(e[1] < h){\n\t\t\t\t\t\tdp[cur] += dp[e[0]];\n\t\t\t\t\t\tdes[cur] += des[e[0]];\n\t\t\t\t\t}\n\t\t\t\t}\n\t\t\t\tif(pw[cur] >= h || i == 0){\n\t\t\t\t\txs[p] = dp[cur];\n\t\t\t\t\tdess[p] = des[cur];\n\t\t\t\t\tp++;\n\t\t\t\t}\n\t\t\t}\n\t\t\t\n\t\t\tList edges = new ArrayList();\n\t\t\tint sq = (int)Math.sqrt(p);\n\t\t\tint q = (int)Math.sqrt(p)+2;\n\t\t\tint src = 2*p+q, sink = 2*p+q+1;\n\t\t\tfor(int i = 0;i < p;i++){\n\t\t\t\tedges.add(new Edge(src, i, dess[i]));\n\t\t\t\tedges.add(new Edge(i+p, sink, xs[i]));\n\t\t\t\tfor(int j = 0;j < q;j++){\n\t\t\t\t\tif(i/sq != j){\n\t\t\t\t\t\tedges.add(new Edge(i, 2*p+j, 10000));\n\t\t\t\t\t}else{\n\t\t\t\t\t\tfor(int k = i/sq*sq;k < i/sq*sq+sq && k < p;k++){\n\t\t\t\t\t\t\tif(i != k){\n\t\t\t\t\t\t\t\tedges.add(new Edge(i, k+p, 10000));\n\t\t\t\t\t\t\t}\n\t\t\t\t\t\t}\n\t\t\t\t\t}\n\t\t\t\t}\n//\t\t\t\tfor(int j = 0;j < p;j++){\n//\t\t\t\t\tif(i != j){\n//\t\t\t\t\t\tedges.add(new Edge(i, j+p, 10000));\n//\t\t\t\t\t}\n//\t\t\t\t}\n\t\t\t}\n\t\t\tfor(int j = 0;j < q;j++){\n\t\t\t\tfor(int k = j*sq;k < j*sq+sq && k < p;k++){\n\t\t\t\t\tedges.add(new Edge(2*p+j, k+p, 10000));\n\t\t\t\t}\n\t\t\t}\n//\t\t\ttr(toDOT(compileWD(sink+1, edges)));\n\t\t\tlong F = maximumFlowDinic(compileWD(sink+1, edges), src, sink);\n\t\t\tif(F == n){\n\t\t\t\tlow = h;\n\t\t\t}else{\n\t\t\t\thigh = h;\n\t\t\t}\n\t\t}\n\t\tout.println(low);\n\t}\n\t\n\tpublic static String toDOT(Edge[][] g)\n\t{\n\t\tStringBuilder sb = new StringBuilder();\n\t\tint n = g.length;\n\t\tsb.append(\"digraph{\\n\");\n\t\tsb.append(\"graph[rankdir=LR];\\n\");\n\t\tsb.append(\"node[shape=circle];\\n\");\n\t\tfor(int i = 0;i < n;i++){\n\t\t\tfor(Edge e : g[i]){\n\t\t\t\tif(e.flow == 0){\n\t\t\t\t\tsb.append(\"\\\"\" + i + \"\\\"\");\n\t\t\t\t\tsb.append(\"->\");\n\t\t\t\t\tsb.append(\"\\\"\" + e.to + \"\\\"\");\n\t\t\t\t\tsb.append(\"[label=\" + e.capacity + \"];\\n\");\n\t\t\t\t}\n\t\t\t}\n\t\t}\n\t\tsb.append(\"}\\n\");\n\t\treturn sb.toString();\n\t}\n\t\n\tpublic static class Edge\n\t{\n\t\tpublic int from, to;\n\t\tpublic int capacity;\n\t\tpublic int flow;\n\t\tpublic Edge complement;\n\t\t// public int iniflow;\n\t\t\n\t\tpublic Edge(int from, int to, int capacity) {\n\t\t\tthis.from = from;\n\t\t\tthis.to = to;\n\t\t\tthis.capacity = capacity;\n\t\t}\n\t}\n\t\n\tpublic static Edge[][] compileWD(int n, List edges)\n\t{\n\t\tEdge[][] g = new Edge[n][];\n\t\t// cloning\n\t\tfor(int i = edges.size()-1;i >= 0;i--){\n\t\t\tEdge origin = edges.get(i);\n\t\t\tEdge clone = new Edge(origin.to, origin.from, origin.capacity);\n\t\t\tclone.flow = origin.capacity;\n\t\t\tclone.complement = origin;\n\t\t\torigin.complement = clone;\n\t\t\tedges.add(clone);\n\t\t}\n\t\t\n\t\tint[] p = new int[n];\n\t\tfor(Edge e : edges)p[e.from]++;\n\t\tfor(int i = 0;i < n;i++)g[i] = new Edge[p[i]];\n\t\tfor(Edge e : edges)g[e.from][--p[e.from]] = e;\n\t\treturn g;\n\t}\n\t\n\tpublic static Edge[][] compileWU(int n, List edges)\n\t{\n\t\tEdge[][] g = new Edge[n][];\n\t\t// cloning\n\t\tfor(int i = edges.size()-1;i >= 0;i--){\n\t\t\tEdge origin = edges.get(i);\n\t\t\tEdge clone = new Edge(origin.to, origin.from, origin.capacity*2);\n\t\t\torigin.flow = origin.capacity;\n\t\t\tclone.flow = origin.capacity;\n\t\t\tclone.complement = origin;\n\t\t\torigin.complement = clone;\n\t\t\torigin.capacity *= 2;\n\t\t\tedges.add(clone);\n\t\t}\n\t\t\n\t\tint[] p = new int[n];\n\t\tfor(Edge e : edges)p[e.from]++;\n\t\tfor(int i = 0;i < n;i++)g[i] = new Edge[p[i]];\n\t\tfor(Edge e : edges)g[e.from][--p[e.from]] = e;\n\t\treturn g;\n\t}\t\n\t\n\tpublic static long maximumFlowDinic(Edge[][] g, int source, int sink)\n\t{\n\t\tint n = g.length;\n\t\tint[] d = new int[n];\n\t\tint[] q = new int[n];\n\t\tlong ret = 0;\n\t\twhile(true){\n\t\t\tArrays.fill(d, -1);\n\t\t\tq[0] = source;\n\t\t\tint r = 1;\n\t\t\td[source] = 0;\n\t\t\t\n\t\t\tfor(int v = 0;v < r;v++){\n\t\t\t\tint cur = q[v];\n\t\t\t\tfor(Edge ne : g[cur]){\n\t\t\t\t\tif(d[ne.to] == -1 && ne.capacity - ne.flow > 0) {\n\t\t\t\t\t\tq[r++] = ne.to;\n\t\t\t\t\t\td[ne.to] = d[cur] + 1;\n\t\t\t\t\t}\n\t\t\t\t}\n\t\t\t}\n\t\t\tif(d[sink] == -1)break;\n\t\t\tint[] sp = new int[n];\n\t\t\tfor(int i = 0;i < n;i++)sp[i] = g[i].length - 1;\n\t\t\tret += dfsDinic(d, g, sp, source, sink, Long.MAX_VALUE);\n\t\t}\n\t\t\n\t\treturn ret;\n\t}\n\t\n\tprivate static long dfsDinic(int[] d, Edge[][] g, int[] sp, int cur, int sink, long min)\n\t{\n\t\tif(cur == sink)return min;\n\t\tlong left = min;\n\t\tfor(int i = sp[cur];i >= 0;i--){\n\t\t\tEdge ne = g[cur][i];\n\t\t\tif(d[ne.to] == d[cur]+1 && ne.capacity - ne.flow > 0){\n\t\t\t\tlong fl = dfsDinic(d, g, sp, ne.to, sink, Math.min(left, ne.capacity - ne.flow));\n\t\t\t\tif(fl > 0){\n\t\t\t\t\tleft -= fl;\n\t\t\t\t\tne.flow += fl;\n\t\t\t\t\tne.complement.flow -= fl;\n\t\t\t\t\tif(left == 0){\n\t\t\t\t\t\tsp[cur] = i;\n\t\t\t\t\t\treturn min;\n\t\t\t\t\t}\n\t\t\t\t}\n\t\t\t}\n\t\t}\n\t\tsp[cur] = -1;\n\t\treturn min-left;\n\t}\n\t\n\tpublic static int[][] parents(int[][][] g, int root)\n\t{\n\t\tint n = g.length;\n\t\tint[] par = new int[n];\n\t\tArrays.fill(par, -1);\n\t\tint[] dw = new int[n];\n\t\tint[] pw = new int[n];\n\t\tint[] dep = new int[n];\n\t\t\n\t\tint[] q = new int[n];\n\t\tq[0] = root;\n\t\tfor(int p = 0, r = 1;p < r;p++) {\n\t\t\tint cur = q[p];\n\t\t\tfor(int[] nex : g[cur]){\n\t\t\t\tif(par[cur] != nex[0]){\n\t\t\t\t\tq[r++] = nex[0];\n\t\t\t\t\tpar[nex[0]] = cur;\n\t\t\t\t\tdep[nex[0]] = dep[cur] + 1;\n\t\t\t\t\tdw[nex[0]] = dw[cur] + nex[1];\n\t\t\t\t\tpw[nex[0]] = nex[1];\n\t\t\t\t}\n\t\t\t}\n\t\t}\n\t\treturn new int[][] {par, q, dep, dw, pw};\n\t}\n\n\t\n\tpublic static int[][][] packWU(int n, int[] from, int[] to, int[] w) {\n\t\tint[][][] g = new int[n][][];\n\t\tint[] p = new int[n];\n\t\tfor (int f : from)\n\t\t\tp[f]++;\n\t\tfor (int t : to)\n\t\t\tp[t]++;\n\t\tfor (int i = 0; i < n; i++)\n\t\t\tg[i] = new int[p[i]][2];\n\t\tfor (int i = 0; i < from.length; i++) {\n\t\t\t--p[from[i]];\n\t\t\tg[from[i]][p[from[i]]][0] = to[i];\n\t\t\tg[from[i]][p[from[i]]][1] = w[i];\n\t\t\t--p[to[i]];\n\t\t\tg[to[i]][p[to[i]]][0] = from[i];\n\t\t\tg[to[i]][p[to[i]]][1] = w[i];\n\t\t}\n\t\treturn g;\n\t}\n\t\n\tvoid run() throws Exception\n\t{\n\t\tis = oj ? System.in : new ByteArrayInputStream(INPUT.getBytes());\n\t\tout = new PrintWriter(System.out);\n\t\t\n\t\tlong s = System.currentTimeMillis();\n\t\tsolve();\n\t\tout.flush();\n\t\ttr(System.currentTimeMillis()-s+\"ms\");\n\t}\n\t\n\tpublic static void main(String[] args) throws Exception { new E().run(); }\n\t\n\tprivate byte[] inbuf = new byte[1024];\n\tprivate int lenbuf = 0, ptrbuf = 0;\n\t\n\tprivate int readByte()\n\t{\n\t\tif(lenbuf == -1)throw new InputMismatchException();\n\t\tif(ptrbuf >= lenbuf){\n\t\t\tptrbuf = 0;\n\t\t\ttry { lenbuf = is.read(inbuf); } catch (IOException e) { throw new InputMismatchException(); }\n\t\t\tif(lenbuf <= 0)return -1;\n\t\t}\n\t\treturn inbuf[ptrbuf++];\n\t}\n\t\n\tprivate boolean isSpaceChar(int c) { return !(c >= 33 && c <= 126); }\n\tprivate int skip() { int b; while((b = readByte()) != -1 && isSpaceChar(b)); return b; }\n\t\n\tprivate double nd() { return Double.parseDouble(ns()); }\n\tprivate char nc() { return (char)skip(); }\n\t\n\tprivate String ns()\n\t{\n\t\tint b = skip();\n\t\tStringBuilder sb = new StringBuilder();\n\t\twhile(!(isSpaceChar(b))){ // when nextLine, (isSpaceChar(b) && b != ' ')\n\t\t\tsb.appendCodePoint(b);\n\t\t\tb = readByte();\n\t\t}\n\t\treturn sb.toString();\n\t}\n\t\n\tprivate char[] ns(int n)\n\t{\n\t\tchar[] buf = new char[n];\n\t\tint b = skip(), p = 0;\n\t\twhile(p < n && !(isSpaceChar(b))){\n\t\t\tbuf[p++] = (char)b;\n\t\t\tb = readByte();\n\t\t}\n\t\treturn n == p ? buf : Arrays.copyOf(buf, p);\n\t}\n\t\n\tprivate char[][] nm(int n, int m)\n\t{\n\t\tchar[][] map = new char[n][];\n\t\tfor(int i = 0;i < n;i++)map[i] = ns(m);\n\t\treturn map;\n\t}\n\t\n\tprivate int[] na(int n)\n\t{\n\t\tint[] a = new int[n];\n\t\tfor(int i = 0;i < n;i++)a[i] = ni();\n\t\treturn a;\n\t}\n\t\n\tprivate int ni()\n\t{\n\t\tint num = 0, b;\n\t\tboolean minus = false;\n\t\twhile((b = readByte()) != -1 && !((b >= '0' && b <= '9') || b == '-'));\n\t\tif(b == '-'){\n\t\t\tminus = true;\n\t\t\tb = readByte();\n\t\t}\n\t\t\n\t\twhile(true){\n\t\t\tif(b >= '0' && b <= '9'){\n\t\t\t\tnum = num * 10 + (b - '0');\n\t\t\t}else{\n\t\t\t\treturn minus ? -num : num;\n\t\t\t}\n\t\t\tb = readByte();\n\t\t}\n\t}\n\t\n\tprivate long nl()\n\t{\n\t\tlong num = 0;\n\t\tint b;\n\t\tboolean minus = false;\n\t\twhile((b = readByte()) != -1 && !((b >= '0' && b <= '9') || b == '-'));\n\t\tif(b == '-'){\n\t\t\tminus = true;\n\t\t\tb = readByte();\n\t\t}\n\t\t\n\t\twhile(true){\n\t\t\tif(b >= '0' && b <= '9'){\n\t\t\t\tnum = num * 10 + (b - '0');\n\t\t\t}else{\n\t\t\t\treturn minus ? -num : num;\n\t\t\t}\n\t\t\tb = readByte();\n\t\t}\n\t}\n\t\n\tprivate boolean oj = System.getProperty(\"ONLINE_JUDGE\") != null;\n\tprivate void tr(Object... o) { if(!oj)System.out.println(Arrays.deepToString(o)); }\n}\n"},"language":{"kind":"class label","value":"4","name":"JAVA"},"test_samples":{"kind":"string","value":"{\n \"input\": [\n \"4\\n1 2 1\\n2 3 2\\n3 4 3\\n1\\n1\\n1\\n1\\n\",\n \"4\\n1 2 1\\n2 3 2\\n3 4 3\\n4\\n4\\n4\\n4\\n\",\n \"1\\n1\\n\",\n \"10\\n2 1 559\\n3 1 5707\\n4 2 9790\\n5 3 1591\\n6 1 7113\\n7 6 2413\\n8 6 3006\\n9 4 1935\\n10 6 5954\\n1\\n1\\n1\\n1\\n1\\n1\\n1\\n1\\n1\\n1\\n\",\n \"10\\n2 1 8760\\n3 1 3705\\n4 1 1862\\n5 2 7332\\n6 3 7015\\n7 5 4866\\n8 3 4465\\n9 7 8886\\n10 3 9362\\n2\\n5\\n5\\n4\\n4\\n5\\n4\\n5\\n1\\n2\\n\",\n \"2\\n1 2 10000\\n1\\n1\\n\",\n \"10\\n1 6 4890\\n2 6 2842\\n3 6 7059\\n4 6 3007\\n5 6 6195\\n7 6 3962\\n8 6 3413\\n9 6 7658\\n10 6 8049\\n3\\n3\\n3\\n1\\n4\\n4\\n5\\n2\\n1\\n1\\n\",\n \"10\\n2 1 2464\\n3 1 5760\\n4 3 9957\\n5 1 6517\\n6 4 8309\\n7 3 3176\\n8 7 1982\\n9 1 7312\\n10 2 3154\\n1\\n1\\n4\\n1\\n1\\n3\\n3\\n5\\n3\\n2\\n\",\n \"10\\n2 1 3921\\n3 2 3204\\n4 3 1912\\n5 4 6844\\n6 5 8197\\n7 6 7148\\n8 7 5912\\n9 8 104\\n10 9 5881\\n4\\n4\\n5\\n2\\n2\\n4\\n1\\n2\\n3\\n1\\n\",\n \"10\\n1 2 5577\\n3 2 6095\\n4 2 4743\\n5 2 2254\\n6 2 9771\\n7 2 7417\\n8 2 9342\\n9 2 2152\\n10 2 5785\\n1\\n1\\n1\\n1\\n1\\n1\\n1\\n1\\n1\\n1\\n\",\n \"10\\n2 1 5297\\n3 2 7674\\n4 1 1935\\n5 2 1941\\n6 3 1470\\n7 1 3823\\n8 2 4959\\n9 4 6866\\n10 9 2054\\n1\\n1\\n1\\n1\\n1\\n1\\n1\\n1\\n1\\n1\\n\",\n \"10\\n2 1 6818\\n3 2 9734\\n4 3 2234\\n5 4 3394\\n6 5 1686\\n7 6 3698\\n8 7 700\\n9 8 716\\n10 9 1586\\n1\\n1\\n1\\n1\\n1\\n1\\n1\\n1\\n1\\n1\\n\",\n \"1\\n2\\n\",\n \"2\\n1 2 10000\\n2\\n1\\n\",\n \"10\\n1 6 4890\\n2 6 2842\\n3 6 7059\\n4 6 3007\\n5 6 6195\\n7 6 3962\\n8 6 3413\\n9 6 7658\\n10 6 8049\\n3\\n3\\n2\\n1\\n4\\n4\\n5\\n2\\n1\\n1\\n\",\n \"10\\n2 1 2464\\n3 1 5760\\n4 3 9957\\n5 1 6517\\n6 4 8309\\n7 2 3176\\n8 7 1982\\n9 1 7312\\n10 2 3154\\n1\\n1\\n4\\n1\\n1\\n3\\n3\\n5\\n3\\n2\\n\",\n \"10\\n2 1 3921\\n3 2 3204\\n4 3 1912\\n5 4 6844\\n6 5 8197\\n7 6 7148\\n8 7 5912\\n9 8 104\\n10 9 5881\\n6\\n4\\n5\\n2\\n2\\n4\\n1\\n2\\n3\\n1\\n\",\n \"10\\n2 1 5297\\n3 2 7674\\n4 2 1935\\n5 2 1941\\n6 3 1470\\n7 1 3823\\n8 2 4959\\n9 4 6866\\n10 9 2054\\n1\\n1\\n1\\n1\\n1\\n1\\n1\\n1\\n1\\n1\\n\",\n \"10\\n2 1 6915\\n3 2 9734\\n4 3 2234\\n5 4 3394\\n6 5 1686\\n7 6 3698\\n8 7 700\\n9 8 716\\n10 9 1586\\n1\\n1\\n1\\n1\\n1\\n1\\n1\\n1\\n1\\n1\\n\",\n \"4\\n1 2 1\\n2 3 2\\n3 4 5\\n1\\n1\\n1\\n1\\n\",\n \"4\\n1 3 1\\n2 3 2\\n3 4 3\\n4\\n4\\n4\\n4\\n\",\n \"10\\n2 1 8760\\n3 1 3705\\n4 1 1862\\n5 2 7332\\n6 3 7015\\n7 5 4866\\n8 3 4465\\n9 7 4213\\n10 3 9362\\n2\\n5\\n5\\n4\\n4\\n5\\n4\\n5\\n1\\n2\\n\",\n \"10\\n1 3 5577\\n3 2 6095\\n4 2 4743\\n5 2 2254\\n6 2 9771\\n7 2 7417\\n8 2 9342\\n9 2 2152\\n10 2 5785\\n1\\n1\\n1\\n1\\n1\\n1\\n1\\n1\\n1\\n1\\n\",\n \"10\\n1 10 4313\\n2 6 2842\\n3 6 7059\\n4 6 3007\\n5 6 6195\\n7 6 3962\\n8 6 3413\\n9 6 7658\\n10 6 8049\\n3\\n3\\n2\\n1\\n4\\n4\\n5\\n2\\n1\\n1\\n\",\n \"1\\n0\\n\",\n \"10\\n2 1 2464\\n3 1 5760\\n4 3 9957\\n5 1 6517\\n6 4 8309\\n7 2 3176\\n8 7 1982\\n9 1 7312\\n10 2 3154\\n1\\n1\\n4\\n1\\n1\\n3\\n3\\n5\\n3\\n4\\n\",\n \"4\\n1 3 1\\n2 3 2\\n3 4 3\\n4\\n5\\n4\\n4\\n\",\n \"1\\n-1\\n\",\n \"1\\n3\\n\",\n \"10\\n2 1 2464\\n3 1 5760\\n4 3 9957\\n5 1 6517\\n6 4 8309\\n7 3 846\\n8 7 1982\\n9 1 7312\\n10 2 3154\\n1\\n1\\n4\\n1\\n1\\n3\\n3\\n5\\n3\\n2\\n\",\n \"10\\n2 1 3921\\n3 2 975\\n4 3 1912\\n5 4 6844\\n6 5 8197\\n7 6 7148\\n8 7 5912\\n9 8 104\\n10 9 5881\\n4\\n4\\n5\\n2\\n2\\n4\\n1\\n2\\n3\\n1\\n\",\n \"10\\n2 1 5297\\n3 2 7674\\n4 1 420\\n5 2 1941\\n6 3 1470\\n7 1 3823\\n8 2 4959\\n9 4 6866\\n10 9 2054\\n1\\n1\\n1\\n1\\n1\\n1\\n1\\n1\\n1\\n1\\n\",\n \"10\\n2 1 6818\\n3 2 9734\\n4 3 2234\\n5 4 3394\\n6 5 1686\\n7 6 3698\\n8 7 700\\n9 8 716\\n10 9 1586\\n2\\n1\\n1\\n1\\n1\\n1\\n1\\n1\\n1\\n1\\n\",\n \"4\\n1 4 1\\n2 3 2\\n3 4 3\\n1\\n1\\n1\\n1\\n\",\n \"10\\n1 6 4612\\n2 6 2842\\n3 6 7059\\n4 6 3007\\n5 6 6195\\n7 6 3962\\n8 6 3413\\n9 6 7658\\n10 6 8049\\n3\\n3\\n2\\n1\\n4\\n4\\n5\\n2\\n1\\n1\\n\",\n \"10\\n2 1 2464\\n3 1 5760\\n4 3 9957\\n5 2 6517\\n6 4 8309\\n7 2 3176\\n8 7 1982\\n9 1 7312\\n10 2 3154\\n1\\n1\\n4\\n1\\n1\\n3\\n3\\n5\\n3\\n2\\n\",\n \"10\\n2 1 3921\\n3 2 3204\\n4 3 2854\\n5 4 6844\\n6 5 8197\\n7 6 7148\\n8 7 5912\\n9 8 104\\n10 9 5881\\n6\\n4\\n5\\n2\\n2\\n4\\n1\\n2\\n3\\n1\\n\",\n \"10\\n2 1 6915\\n3 2 9734\\n4 3 2234\\n5 4 364\\n6 5 1686\\n7 6 3698\\n8 7 700\\n9 8 716\\n10 9 1586\\n1\\n1\\n1\\n1\\n1\\n1\\n1\\n1\\n1\\n1\\n\",\n \"4\\n1 2 1\\n2 3 2\\n3 4 5\\n1\\n1\\n2\\n1\\n\",\n \"4\\n1 3 1\\n2 3 2\\n3 4 3\\n4\\n5\\n6\\n4\\n\",\n \"1\\n5\\n\",\n \"10\\n2 1 8760\\n3 1 3705\\n4 1 1862\\n5 2 7332\\n6 3 7015\\n7 5 4866\\n8 3 4465\\n9 7 4213\\n10 3 9362\\n2\\n5\\n5\\n4\\n4\\n2\\n4\\n5\\n1\\n2\\n\",\n \"10\\n2 1 2464\\n3 1 5760\\n4 3 9957\\n5 1 6517\\n6 4 8309\\n7 3 846\\n8 7 1982\\n9 1 7312\\n10 2 3154\\n1\\n1\\n4\\n1\\n1\\n3\\n3\\n5\\n3\\n3\\n\",\n \"10\\n1 3 9791\\n3 2 6095\\n4 2 4743\\n5 2 2254\\n6 2 9771\\n7 2 7417\\n8 2 9342\\n9 2 2152\\n10 2 5785\\n1\\n1\\n1\\n1\\n1\\n1\\n1\\n1\\n1\\n1\\n\",\n \"10\\n2 1 5297\\n3 2 7674\\n4 1 420\\n5 2 1941\\n6 3 1515\\n7 1 3823\\n8 2 4959\\n9 4 6866\\n10 9 2054\\n1\\n1\\n1\\n1\\n1\\n1\\n1\\n1\\n1\\n1\\n\",\n \"4\\n1 4 0\\n2 3 2\\n3 4 3\\n1\\n1\\n1\\n1\\n\",\n \"10\\n1 6 4313\\n2 6 2842\\n3 6 7059\\n4 6 3007\\n5 6 6195\\n7 6 3962\\n8 6 3413\\n9 6 7658\\n10 6 8049\\n3\\n3\\n2\\n1\\n4\\n4\\n5\\n2\\n1\\n1\\n\",\n \"10\\n2 1 2464\\n3 1 5760\\n4 3 9957\\n5 2 6517\\n6 4 8309\\n7 2 3176\\n8 7 1982\\n9 1 7312\\n10 2 3154\\n0\\n1\\n4\\n1\\n1\\n3\\n3\\n5\\n3\\n2\\n\",\n \"10\\n2 1 3921\\n3 2 3204\\n4 3 2854\\n5 4 6844\\n6 5 8197\\n7 6 7148\\n8 7 5912\\n9 8 104\\n10 9 5881\\n1\\n4\\n5\\n2\\n2\\n4\\n1\\n2\\n3\\n1\\n\",\n \"4\\n1 2 1\\n2 3 2\\n3 4 5\\n1\\n0\\n2\\n1\\n\",\n \"1\\n8\\n\",\n \"10\\n2 1 8760\\n3 1 3705\\n4 1 1862\\n5 2 7332\\n6 3 7015\\n7 5 4866\\n8 3 4465\\n9 7 4213\\n10 3 9362\\n2\\n5\\n5\\n4\\n4\\n2\\n4\\n7\\n1\\n2\\n\",\n \"10\\n2 1 2464\\n3 1 5760\\n4 3 9957\\n5 1 6517\\n6 4 5661\\n7 3 846\\n8 7 1982\\n9 1 7312\\n10 2 3154\\n1\\n1\\n4\\n1\\n1\\n3\\n3\\n5\\n3\\n3\\n\",\n \"10\\n2 1 2464\\n3 1 5760\\n4 3 9957\\n5 2 6517\\n6 4 8309\\n7 2 3176\\n8 7 1982\\n9 1 7312\\n10 2 3154\\n0\\n1\\n4\\n1\\n1\\n4\\n3\\n5\\n3\\n2\\n\",\n \"10\\n2 1 3921\\n3 2 3204\\n4 3 2854\\n5 4 6844\\n6 5 8197\\n7 6 7148\\n8 7 5912\\n9 8 104\\n10 9 5881\\n1\\n4\\n5\\n2\\n2\\n4\\n1\\n2\\n3\\n0\\n\",\n \"10\\n2 1 2464\\n3 1 5760\\n4 3 9957\\n5 1 6517\\n6 4 5661\\n7 3 846\\n8 7 1982\\n9 1 7312\\n10 2 3139\\n1\\n1\\n4\\n1\\n1\\n3\\n3\\n5\\n3\\n3\\n\",\n \"10\\n2 1 2464\\n3 1 5760\\n4 1 9957\\n5 2 6517\\n6 4 8309\\n7 2 3176\\n8 7 1982\\n9 1 7312\\n10 2 3154\\n0\\n1\\n4\\n1\\n1\\n4\\n3\\n5\\n3\\n2\\n\"\n ],\n \"output\": [\n \"2\\n\",\n \"3\\n\",\n \"0\\n\",\n \"7113\\n\",\n \"8760\\n\",\n \"10000\\n\",\n \"6195\\n\",\n \"7312\\n\",\n \"8197\\n\",\n \"5785\\n\",\n \"5297\\n\",\n \"3698\\n\",\n \"0\\n\",\n \"10000\\n\",\n \"6195\\n\",\n \"7312\\n\",\n \"8197\\n\",\n \"5297\\n\",\n \"3698\\n\",\n \"2\\n\",\n \"3\\n\",\n \"8760\\n\",\n \"6095\\n\",\n \"7059\\n\",\n \"0\\n\",\n \"7312\\n\",\n \"3\\n\",\n \"0\\n\",\n \"0\\n\",\n \"7312\\n\",\n \"8197\\n\",\n \"5297\\n\",\n \"3698\\n\",\n \"3\\n\",\n \"6195\\n\",\n \"7312\\n\",\n \"8197\\n\",\n \"3698\\n\",\n \"2\\n\",\n \"3\\n\",\n \"0\\n\",\n \"8760\\n\",\n \"7312\\n\",\n \"6095\\n\",\n \"5297\\n\",\n \"3\\n\",\n \"6195\\n\",\n \"7312\\n\",\n \"8197\\n\",\n \"2\\n\",\n \"0\\n\",\n \"8760\\n\",\n \"7312\\n\",\n \"7312\\n\",\n \"8197\\n\",\n \"7312\\n\",\n \"7312\\n\"\n ]\n}"},"source":{"kind":"class label","value":"2","name":"CODEFORCES"}}},{"rowIdx":38270,"cells":{"id":{"kind":"string","value":"467_A. George and Accommodation_38270"},"description":{"kind":"string","value":"George has recently entered the BSUCP (Berland State University for Cool Programmers). George has a friend Alex who has also entered the university. Now they are moving into a dormitory. \n\nGeorge and Alex want to live in the same room. The dormitory has n rooms in total. At the moment the i-th room has pi people living in it and the room can accommodate qi people in total (pi ≤ qi). Your task is to count how many rooms has free place for both George and Alex.\n\nInput\n\nThe first line contains a single integer n (1 ≤ n ≤ 100) — the number of rooms.\n\nThe i-th of the next n lines contains two integers pi and qi (0 ≤ pi ≤ qi ≤ 100) — the number of people who already live in the i-th room and the room's capacity.\n\nOutput\n\nPrint a single integer — the number of rooms where George and Alex can move in.\n\nExamples\n\nInput\n\n3\n1 1\n2 2\n3 3\n\n\nOutput\n\n0\n\n\nInput\n\n3\n1 10\n0 10\n10 10\n\n\nOutput\n\n2"},"code":{"kind":"string","value":"n=input()\nc=0\nfor i in xrange(0, n):\n p,q = raw_input().split(\" \")\n if int(q)-int(p)>=2:\n c+=1\nprint c"},"language":{"kind":"class label","value":"1","name":"Python2"},"test_samples":{"kind":"string","value":"{\n \"input\": [\n \"3\\n1 1\\n2 2\\n3 3\\n\",\n \"3\\n1 10\\n0 10\\n10 10\\n\",\n \"17\\n68 69\\n47 48\\n30 31\\n52 54\\n41 43\\n33 35\\n38 40\\n56 58\\n45 46\\n92 93\\n73 74\\n61 63\\n65 66\\n37 39\\n67 68\\n77 78\\n28 30\\n\",\n \"26\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n\",\n \"10\\n0 10\\n0 20\\n0 30\\n0 40\\n0 50\\n0 60\\n0 70\\n0 80\\n0 90\\n0 100\\n\",\n \"14\\n1 1\\n1 1\\n1 55\\n1 16\\n1 1\\n1 1\\n1 55\\n1 62\\n1 53\\n1 26\\n1 1\\n1 36\\n1 2\\n1 3\\n\",\n \"44\\n0 8\\n1 11\\n2 19\\n3 5\\n4 29\\n5 45\\n6 6\\n7 40\\n8 19\\n9 22\\n10 18\\n11 26\\n12 46\\n13 13\\n14 27\\n15 48\\n16 25\\n17 20\\n18 29\\n19 27\\n20 45\\n21 39\\n22 29\\n23 39\\n24 42\\n25 37\\n26 52\\n27 36\\n28 43\\n29 35\\n30 38\\n31 70\\n32 47\\n33 38\\n34 61\\n35 71\\n36 51\\n37 71\\n38 59\\n39 77\\n40 70\\n41 80\\n42 77\\n43 73\\n\",\n \"2\\n36 67\\n61 69\\n\",\n \"15\\n55 57\\n95 97\\n57 59\\n34 36\\n50 52\\n96 98\\n39 40\\n13 15\\n13 14\\n74 76\\n47 48\\n56 58\\n24 25\\n11 13\\n67 68\\n\",\n \"1\\n0 0\\n\",\n \"19\\n66 67\\n97 98\\n89 91\\n67 69\\n67 68\\n18 20\\n72 74\\n28 30\\n91 92\\n27 28\\n75 77\\n17 18\\n74 75\\n28 30\\n16 18\\n90 92\\n9 11\\n22 24\\n52 54\\n\",\n \"13\\n14 16\\n30 31\\n45 46\\n19 20\\n15 17\\n66 67\\n75 76\\n95 97\\n29 30\\n37 38\\n0 2\\n36 37\\n8 9\\n\",\n \"55\\n0 0\\n1 1\\n2 2\\n3 3\\n4 4\\n5 5\\n6 6\\n7 7\\n8 8\\n9 9\\n10 10\\n11 11\\n12 12\\n13 13\\n14 14\\n15 15\\n16 16\\n17 17\\n18 18\\n19 19\\n20 20\\n21 21\\n22 22\\n23 23\\n24 24\\n25 25\\n26 26\\n27 27\\n28 28\\n29 29\\n30 30\\n31 31\\n32 32\\n33 33\\n34 34\\n35 35\\n36 36\\n37 37\\n38 38\\n39 39\\n40 40\\n41 41\\n42 42\\n43 43\\n44 44\\n45 45\\n46 46\\n47 47\\n48 48\\n49 49\\n50 50\\n51 51\\n52 52\\n53 53\\n54 54\\n\",\n \"3\\n1 2\\n2 3\\n3 4\\n\",\n \"3\\n21 71\\n10 88\\n43 62\\n\",\n \"53\\n0 1\\n1 2\\n2 3\\n3 4\\n4 5\\n5 6\\n6 7\\n7 8\\n8 9\\n9 10\\n10 11\\n11 12\\n12 13\\n13 14\\n14 15\\n15 16\\n16 17\\n17 18\\n18 19\\n19 20\\n20 21\\n21 22\\n22 23\\n23 24\\n24 25\\n25 26\\n26 27\\n27 28\\n28 29\\n29 30\\n30 31\\n31 32\\n32 33\\n33 34\\n34 35\\n35 36\\n36 37\\n37 38\\n38 39\\n39 40\\n40 41\\n41 42\\n42 43\\n43 44\\n44 45\\n45 46\\n46 47\\n47 48\\n48 49\\n49 50\\n50 51\\n51 52\\n52 53\\n\",\n \"68\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n\",\n \"100\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n\",\n \"51\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 62\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 73\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 82\\n55 68\\n55 70\\n55 63\\n55 55\\n55 55\\n55 55\\n55 75\\n55 75\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 73\\n55 55\\n55 82\\n55 99\\n55 60\\n\",\n \"3\\n1 3\\n2 7\\n8 9\\n\",\n \"7\\n0 1\\n1 5\\n2 4\\n3 5\\n4 6\\n5 6\\n6 8\\n\",\n \"14\\n64 66\\n43 44\\n10 12\\n76 77\\n11 12\\n25 27\\n87 88\\n62 64\\n39 41\\n58 60\\n10 11\\n28 29\\n57 58\\n12 14\\n\",\n \"1\\n100 100\\n\",\n \"38\\n74 76\\n52 54\\n78 80\\n48 49\\n40 41\\n64 65\\n28 30\\n6 8\\n49 51\\n68 70\\n44 45\\n57 59\\n24 25\\n46 48\\n49 51\\n4 6\\n63 64\\n76 78\\n57 59\\n18 20\\n63 64\\n71 73\\n88 90\\n21 22\\n89 90\\n65 66\\n89 91\\n96 98\\n42 44\\n1 1\\n74 76\\n72 74\\n39 40\\n75 76\\n29 30\\n48 49\\n87 89\\n27 28\\n\",\n \"17\\n68 69\\n47 48\\n30 31\\n52 54\\n41 43\\n33 35\\n38 40\\n56 58\\n45 46\\n92 93\\n73 74\\n61 63\\n65 66\\n37 39\\n64 68\\n77 78\\n28 30\\n\",\n \"26\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n2 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n\",\n \"10\\n0 10\\n0 20\\n0 30\\n0 40\\n0 50\\n0 60\\n0 70\\n0 80\\n0 84\\n0 100\\n\",\n \"14\\n1 1\\n1 1\\n1 55\\n1 16\\n1 1\\n1 1\\n1 55\\n1 62\\n1 53\\n1 2\\n1 1\\n1 36\\n1 2\\n1 3\\n\",\n \"13\\n14 16\\n30 31\\n45 46\\n19 20\\n15 17\\n66 67\\n75 135\\n95 97\\n29 30\\n37 38\\n0 2\\n36 37\\n8 9\\n\",\n \"55\\n0 0\\n1 1\\n2 2\\n3 3\\n4 4\\n5 5\\n6 6\\n7 7\\n8 8\\n9 9\\n10 10\\n11 11\\n12 12\\n13 13\\n14 14\\n15 15\\n16 16\\n17 17\\n18 18\\n19 19\\n20 20\\n21 21\\n22 22\\n23 23\\n24 24\\n25 25\\n26 30\\n27 27\\n28 28\\n29 29\\n30 30\\n31 31\\n32 32\\n33 33\\n34 34\\n35 35\\n36 36\\n37 37\\n38 38\\n39 39\\n40 40\\n41 41\\n42 42\\n43 43\\n44 44\\n45 45\\n46 46\\n47 47\\n48 48\\n49 49\\n50 50\\n51 51\\n52 52\\n53 53\\n54 54\\n\",\n \"3\\n21 71\\n9 88\\n43 62\\n\",\n \"68\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n1 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n\",\n \"51\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 62\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 73\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 82\\n55 68\\n55 70\\n55 63\\n48 55\\n55 55\\n55 55\\n55 75\\n55 75\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 73\\n55 55\\n55 82\\n55 99\\n55 60\\n\",\n \"3\\n1 3\\n2 9\\n8 9\\n\",\n \"68\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 1\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n1 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n\",\n \"68\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n1 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 1\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n1 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n\",\n \"14\\n64 66\\n43 44\\n10 12\\n76 77\\n7 12\\n25 46\\n87 88\\n62 64\\n10 41\\n58 60\\n10 11\\n28 29\\n57 58\\n12 14\\n\",\n \"17\\n52 69\\n47 71\\n30 31\\n52 54\\n41 43\\n33 35\\n38 40\\n56 58\\n45 46\\n92 93\\n73 74\\n61 80\\n65 66\\n37 39\\n64 68\\n77 78\\n28 30\\n\",\n \"68\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n1 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 1\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 0\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n1 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n\",\n \"26\\n1 2\\n1 2\\n0 2\\n1 2\\n1 2\\n1 3\\n1 2\\n1 2\\n1 2\\n2 2\\n1 2\\n1 2\\n0 2\\n0 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n\",\n \"68\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n1 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 1\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 0\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 0\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n1 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n\",\n \"68\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 4\\n1 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 1\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 0\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 0\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n1 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n1 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n\",\n \"68\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 4\\n1 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 1\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 0\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 0\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n1 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n1 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 0\\n0 2\\n0 2\\n\",\n \"68\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 0\\n0 4\\n1 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 1\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 0\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 0\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n1 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n1 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 0\\n0 2\\n0 2\\n\",\n \"68\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 0\\n0 4\\n1 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 1\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 0\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 0\\n0 2\\n0 2\\n0 2\\n0 2\\n1 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n1 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n1 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 0\\n0 2\\n0 2\\n\",\n \"1\\n0 1\\n\",\n \"3\\n1 3\\n2 3\\n3 4\\n\",\n \"100\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 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2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n\",\n \"10\\n1 10\\n0 20\\n0 30\\n0 40\\n0 50\\n0 60\\n0 70\\n0 80\\n0 84\\n0 100\\n\",\n \"14\\n1 2\\n1 1\\n1 55\\n1 16\\n1 1\\n1 1\\n1 55\\n1 62\\n1 53\\n1 2\\n1 1\\n1 36\\n1 2\\n1 3\\n\",\n \"1\\n0 2\\n\",\n \"3\\n1 3\\n2 3\\n3 7\\n\",\n \"3\\n21 71\\n9 88\\n43 79\\n\",\n \"51\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 62\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 73\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 82\\n55 68\\n55 70\\n55 63\\n48 55\\n55 55\\n55 55\\n55 75\\n55 75\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 73\\n55 55\\n19 82\\n55 99\\n55 60\\n\",\n \"14\\n64 66\\n43 44\\n10 12\\n76 77\\n11 12\\n25 46\\n87 88\\n62 64\\n10 41\\n58 60\\n10 11\\n28 29\\n57 58\\n12 14\\n\",\n \"3\\n1 1\\n2 3\\n2 3\\n\",\n \"3\\n1 2\\n0 10\\n10 10\\n\",\n \"17\\n68 69\\n47 71\\n30 31\\n52 54\\n41 43\\n33 35\\n38 40\\n56 58\\n45 46\\n92 93\\n73 74\\n61 80\\n65 66\\n37 39\\n64 68\\n77 78\\n28 30\\n\",\n \"26\\n1 2\\n1 2\\n0 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n2 2\\n1 2\\n1 2\\n1 2\\n0 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n\",\n \"10\\n1 10\\n0 20\\n1 30\\n0 40\\n0 50\\n0 60\\n0 70\\n0 80\\n0 84\\n0 100\\n\",\n \"14\\n1 2\\n1 1\\n0 55\\n1 16\\n1 1\\n1 1\\n1 55\\n1 62\\n1 53\\n1 2\\n1 1\\n1 36\\n1 2\\n1 3\\n\",\n \"1\\n-1 2\\n\",\n \"3\\n1 2\\n2 3\\n3 7\\n\",\n \"3\\n21 71\\n9 88\\n1 79\\n\",\n \"26\\n1 2\\n1 2\\n0 2\\n1 2\\n1 2\\n1 3\\n1 2\\n1 2\\n1 2\\n2 2\\n1 2\\n1 2\\n1 2\\n0 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n\",\n \"10\\n1 10\\n1 20\\n1 30\\n0 40\\n0 50\\n0 60\\n0 70\\n0 80\\n0 84\\n0 100\\n\",\n \"14\\n1 2\\n1 1\\n0 55\\n1 16\\n1 1\\n0 1\\n1 55\\n1 62\\n1 53\\n1 2\\n1 1\\n1 36\\n1 2\\n1 3\\n\",\n \"1\\n-1 0\\n\",\n \"3\\n21 71\\n9 95\\n1 79\\n\",\n \"14\\n52 66\\n43 44\\n10 12\\n76 77\\n7 12\\n25 46\\n87 88\\n62 64\\n10 41\\n58 60\\n10 11\\n28 29\\n57 58\\n12 14\\n\",\n \"10\\n1 10\\n1 20\\n1 30\\n0 39\\n0 50\\n0 60\\n0 70\\n0 80\\n0 84\\n0 100\\n\",\n \"14\\n1 2\\n1 1\\n0 55\\n1 16\\n1 1\\n0 1\\n0 55\\n1 62\\n1 53\\n1 2\\n1 1\\n1 36\\n1 2\\n1 3\\n\",\n \"1\\n-1 1\\n\",\n \"3\\n21 71\\n9 95\\n1 6\\n\",\n \"14\\n52 66\\n43 44\\n10 12\\n76 77\\n7 12\\n25 46\\n87 88\\n62 64\\n10 41\\n58 60\\n10 19\\n28 29\\n57 58\\n12 14\\n\",\n \"26\\n1 2\\n1 2\\n0 2\\n1 2\\n1 2\\n1 3\\n1 2\\n1 2\\n1 2\\n2 2\\n1 2\\n1 2\\n0 2\\n0 2\\n1 2\\n1 2\\n1 2\\n0 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n\",\n \"10\\n1 10\\n1 20\\n1 30\\n0 39\\n0 50\\n1 60\\n0 70\\n0 80\\n0 84\\n0 100\\n\",\n \"14\\n1 2\\n1 1\\n0 103\\n1 16\\n1 1\\n0 1\\n0 55\\n1 62\\n1 53\\n1 2\\n1 1\\n1 36\\n1 2\\n1 3\\n\",\n \"1\\n-2 1\\n\",\n \"3\\n29 71\\n9 95\\n1 6\\n\",\n \"68\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 4\\n1 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 1\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 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]\n}"},"source":{"kind":"class label","value":"2","name":"CODEFORCES"}}},{"rowIdx":38271,"cells":{"id":{"kind":"string","value":"467_A. George and Accommodation_38271"},"description":{"kind":"string","value":"George has recently entered the BSUCP (Berland State University for Cool Programmers). George has a friend Alex who has also entered the university. Now they are moving into a dormitory. \n\nGeorge and Alex want to live in the same room. The dormitory has n rooms in total. At the moment the i-th room has pi people living in it and the room can accommodate qi people in total (pi ≤ qi). Your task is to count how many rooms has free place for both George and Alex.\n\nInput\n\nThe first line contains a single integer n (1 ≤ n ≤ 100) — the number of rooms.\n\nThe i-th of the next n lines contains two integers pi and qi (0 ≤ pi ≤ qi ≤ 100) — the number of people who already live in the i-th room and the room's capacity.\n\nOutput\n\nPrint a single integer — the number of rooms where George and Alex can move in.\n\nExamples\n\nInput\n\n3\n1 1\n2 2\n3 3\n\n\nOutput\n\n0\n\n\nInput\n\n3\n1 10\n0 10\n10 10\n\n\nOutput\n\n2"},"code":{"kind":"string","value":"#include \nusing namespace std;\nint main() {\n int n;\n cin >> n;\n long long counter = 0;\n for (int i = 0; i < n; i++) {\n int x, y;\n cin >> x >> y;\n if (y - x >= 2) counter++;\n }\n cout << counter;\n return 0;\n}\n"},"language":{"kind":"class label","value":"2","name":"C++"},"test_samples":{"kind":"string","value":"{\n \"input\": [\n \"3\\n1 1\\n2 2\\n3 3\\n\",\n \"3\\n1 10\\n0 10\\n10 10\\n\",\n \"17\\n68 69\\n47 48\\n30 31\\n52 54\\n41 43\\n33 35\\n38 40\\n56 58\\n45 46\\n92 93\\n73 74\\n61 63\\n65 66\\n37 39\\n67 68\\n77 78\\n28 30\\n\",\n \"26\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n\",\n \"10\\n0 10\\n0 20\\n0 30\\n0 40\\n0 50\\n0 60\\n0 70\\n0 80\\n0 90\\n0 100\\n\",\n \"14\\n1 1\\n1 1\\n1 55\\n1 16\\n1 1\\n1 1\\n1 55\\n1 62\\n1 53\\n1 26\\n1 1\\n1 36\\n1 2\\n1 3\\n\",\n \"44\\n0 8\\n1 11\\n2 19\\n3 5\\n4 29\\n5 45\\n6 6\\n7 40\\n8 19\\n9 22\\n10 18\\n11 26\\n12 46\\n13 13\\n14 27\\n15 48\\n16 25\\n17 20\\n18 29\\n19 27\\n20 45\\n21 39\\n22 29\\n23 39\\n24 42\\n25 37\\n26 52\\n27 36\\n28 43\\n29 35\\n30 38\\n31 70\\n32 47\\n33 38\\n34 61\\n35 71\\n36 51\\n37 71\\n38 59\\n39 77\\n40 70\\n41 80\\n42 77\\n43 73\\n\",\n \"2\\n36 67\\n61 69\\n\",\n \"15\\n55 57\\n95 97\\n57 59\\n34 36\\n50 52\\n96 98\\n39 40\\n13 15\\n13 14\\n74 76\\n47 48\\n56 58\\n24 25\\n11 13\\n67 68\\n\",\n \"1\\n0 0\\n\",\n \"19\\n66 67\\n97 98\\n89 91\\n67 69\\n67 68\\n18 20\\n72 74\\n28 30\\n91 92\\n27 28\\n75 77\\n17 18\\n74 75\\n28 30\\n16 18\\n90 92\\n9 11\\n22 24\\n52 54\\n\",\n \"13\\n14 16\\n30 31\\n45 46\\n19 20\\n15 17\\n66 67\\n75 76\\n95 97\\n29 30\\n37 38\\n0 2\\n36 37\\n8 9\\n\",\n \"55\\n0 0\\n1 1\\n2 2\\n3 3\\n4 4\\n5 5\\n6 6\\n7 7\\n8 8\\n9 9\\n10 10\\n11 11\\n12 12\\n13 13\\n14 14\\n15 15\\n16 16\\n17 17\\n18 18\\n19 19\\n20 20\\n21 21\\n22 22\\n23 23\\n24 24\\n25 25\\n26 26\\n27 27\\n28 28\\n29 29\\n30 30\\n31 31\\n32 32\\n33 33\\n34 34\\n35 35\\n36 36\\n37 37\\n38 38\\n39 39\\n40 40\\n41 41\\n42 42\\n43 43\\n44 44\\n45 45\\n46 46\\n47 47\\n48 48\\n49 49\\n50 50\\n51 51\\n52 52\\n53 53\\n54 54\\n\",\n \"3\\n1 2\\n2 3\\n3 4\\n\",\n \"3\\n21 71\\n10 88\\n43 62\\n\",\n \"53\\n0 1\\n1 2\\n2 3\\n3 4\\n4 5\\n5 6\\n6 7\\n7 8\\n8 9\\n9 10\\n10 11\\n11 12\\n12 13\\n13 14\\n14 15\\n15 16\\n16 17\\n17 18\\n18 19\\n19 20\\n20 21\\n21 22\\n22 23\\n23 24\\n24 25\\n25 26\\n26 27\\n27 28\\n28 29\\n29 30\\n30 31\\n31 32\\n32 33\\n33 34\\n34 35\\n35 36\\n36 37\\n37 38\\n38 39\\n39 40\\n40 41\\n41 42\\n42 43\\n43 44\\n44 45\\n45 46\\n46 47\\n47 48\\n48 49\\n49 50\\n50 51\\n51 52\\n52 53\\n\",\n \"68\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n\",\n \"100\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n\",\n \"51\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 62\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 73\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 82\\n55 68\\n55 70\\n55 63\\n55 55\\n55 55\\n55 55\\n55 75\\n55 75\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 73\\n55 55\\n55 82\\n55 99\\n55 60\\n\",\n \"3\\n1 3\\n2 7\\n8 9\\n\",\n \"7\\n0 1\\n1 5\\n2 4\\n3 5\\n4 6\\n5 6\\n6 8\\n\",\n \"14\\n64 66\\n43 44\\n10 12\\n76 77\\n11 12\\n25 27\\n87 88\\n62 64\\n39 41\\n58 60\\n10 11\\n28 29\\n57 58\\n12 14\\n\",\n \"1\\n100 100\\n\",\n \"38\\n74 76\\n52 54\\n78 80\\n48 49\\n40 41\\n64 65\\n28 30\\n6 8\\n49 51\\n68 70\\n44 45\\n57 59\\n24 25\\n46 48\\n49 51\\n4 6\\n63 64\\n76 78\\n57 59\\n18 20\\n63 64\\n71 73\\n88 90\\n21 22\\n89 90\\n65 66\\n89 91\\n96 98\\n42 44\\n1 1\\n74 76\\n72 74\\n39 40\\n75 76\\n29 30\\n48 49\\n87 89\\n27 28\\n\",\n \"17\\n68 69\\n47 48\\n30 31\\n52 54\\n41 43\\n33 35\\n38 40\\n56 58\\n45 46\\n92 93\\n73 74\\n61 63\\n65 66\\n37 39\\n64 68\\n77 78\\n28 30\\n\",\n \"26\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n2 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n\",\n \"10\\n0 10\\n0 20\\n0 30\\n0 40\\n0 50\\n0 60\\n0 70\\n0 80\\n0 84\\n0 100\\n\",\n \"14\\n1 1\\n1 1\\n1 55\\n1 16\\n1 1\\n1 1\\n1 55\\n1 62\\n1 53\\n1 2\\n1 1\\n1 36\\n1 2\\n1 3\\n\",\n \"13\\n14 16\\n30 31\\n45 46\\n19 20\\n15 17\\n66 67\\n75 135\\n95 97\\n29 30\\n37 38\\n0 2\\n36 37\\n8 9\\n\",\n \"55\\n0 0\\n1 1\\n2 2\\n3 3\\n4 4\\n5 5\\n6 6\\n7 7\\n8 8\\n9 9\\n10 10\\n11 11\\n12 12\\n13 13\\n14 14\\n15 15\\n16 16\\n17 17\\n18 18\\n19 19\\n20 20\\n21 21\\n22 22\\n23 23\\n24 24\\n25 25\\n26 30\\n27 27\\n28 28\\n29 29\\n30 30\\n31 31\\n32 32\\n33 33\\n34 34\\n35 35\\n36 36\\n37 37\\n38 38\\n39 39\\n40 40\\n41 41\\n42 42\\n43 43\\n44 44\\n45 45\\n46 46\\n47 47\\n48 48\\n49 49\\n50 50\\n51 51\\n52 52\\n53 53\\n54 54\\n\",\n \"3\\n21 71\\n9 88\\n43 62\\n\",\n \"68\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n1 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n\",\n \"51\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 62\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 73\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 82\\n55 68\\n55 70\\n55 63\\n48 55\\n55 55\\n55 55\\n55 75\\n55 75\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 73\\n55 55\\n55 82\\n55 99\\n55 60\\n\",\n \"3\\n1 3\\n2 9\\n8 9\\n\",\n \"68\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 1\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n1 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n\",\n \"68\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n1 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 1\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n1 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n\",\n \"14\\n64 66\\n43 44\\n10 12\\n76 77\\n7 12\\n25 46\\n87 88\\n62 64\\n10 41\\n58 60\\n10 11\\n28 29\\n57 58\\n12 14\\n\",\n \"17\\n52 69\\n47 71\\n30 31\\n52 54\\n41 43\\n33 35\\n38 40\\n56 58\\n45 46\\n92 93\\n73 74\\n61 80\\n65 66\\n37 39\\n64 68\\n77 78\\n28 30\\n\",\n \"68\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n1 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 1\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 0\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n1 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n\",\n \"26\\n1 2\\n1 2\\n0 2\\n1 2\\n1 2\\n1 3\\n1 2\\n1 2\\n1 2\\n2 2\\n1 2\\n1 2\\n0 2\\n0 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n\",\n \"68\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n1 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 1\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 0\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 0\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n1 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n\",\n \"68\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 4\\n1 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 1\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 0\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 0\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n1 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n1 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n\",\n \"68\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 4\\n1 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 1\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 0\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 0\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n1 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n1 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 0\\n0 2\\n0 2\\n\",\n \"68\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 0\\n0 4\\n1 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 1\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 0\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 0\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n1 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n1 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 0\\n0 2\\n0 2\\n\",\n \"68\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 0\\n0 4\\n1 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 1\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 0\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 0\\n0 2\\n0 2\\n0 2\\n0 2\\n1 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n1 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n1 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 0\\n0 2\\n0 2\\n\",\n 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2\\n1 2\\n\",\n \"10\\n1 10\\n0 20\\n1 30\\n-1 17\\n0 50\\n1 60\\n0 108\\n-1 80\\n0 84\\n0 100\\n\",\n \"68\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 0\\n0 4\\n2 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 1\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 0\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 0\\n0 2\\n0 2\\n0 2\\n0 2\\n1 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n1 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n1 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 0\\n0 2\\n0 2\\n\",\n \"26\\n1 2\\n1 2\\n0 2\\n1 2\\n1 2\\n1 3\\n1 2\\n1 2\\n1 2\\n2 2\\n1 2\\n1 2\\n0 2\\n-1 2\\n1 2\\n1 2\\n2 2\\n0 2\\n1 2\\n1 2\\n1 1\\n1 2\\n1 2\\n1 2\\n2 2\\n1 2\\n\",\n \"10\\n1 10\\n0 20\\n1 30\\n0 17\\n0 50\\n1 60\\n0 108\\n-1 80\\n0 84\\n0 100\\n\"\n ],\n \"output\": [\n \"0\\n\",\n \"2\\n\",\n \"8\\n\",\n \"0\\n\",\n \"10\\n\",\n \"8\\n\",\n \"42\\n\",\n \"2\\n\",\n \"10\\n\",\n \"0\\n\",\n \"12\\n\",\n \"4\\n\",\n \"0\\n\",\n \"0\\n\",\n \"3\\n\",\n \"0\\n\",\n 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\"5\\n\",\n \"10\\n\",\n \"5\\n\",\n \"10\\n\",\n \"59\\n\",\n \"5\\n\",\n \"10\\n\"\n ]\n}"},"source":{"kind":"class label","value":"2","name":"CODEFORCES"}}},{"rowIdx":38272,"cells":{"id":{"kind":"string","value":"467_A. George and Accommodation_38272"},"description":{"kind":"string","value":"George has recently entered the BSUCP (Berland State University for Cool Programmers). George has a friend Alex who has also entered the university. Now they are moving into a dormitory. \n\nGeorge and Alex want to live in the same room. The dormitory has n rooms in total. At the moment the i-th room has pi people living in it and the room can accommodate qi people in total (pi ≤ qi). Your task is to count how many rooms has free place for both George and Alex.\n\nInput\n\nThe first line contains a single integer n (1 ≤ n ≤ 100) — the number of rooms.\n\nThe i-th of the next n lines contains two integers pi and qi (0 ≤ pi ≤ qi ≤ 100) — the number of people who already live in the i-th room and the room's capacity.\n\nOutput\n\nPrint a single integer — the number of rooms where George and Alex can move in.\n\nExamples\n\nInput\n\n3\n1 1\n2 2\n3 3\n\n\nOutput\n\n0\n\n\nInput\n\n3\n1 10\n0 10\n10 10\n\n\nOutput\n\n2"},"code":{"kind":"string","value":"c = 0\n\nfor _ in range(int(input())):\n n = [int(x) for x in input().split()]\n n,m = n[0],n[1]\n\n if m - n >= 2:\n c += 1\nprint(c)\n"},"language":{"kind":"class label","value":"3","name":"Python3"},"test_samples":{"kind":"string","value":"{\n \"input\": [\n \"3\\n1 1\\n2 2\\n3 3\\n\",\n \"3\\n1 10\\n0 10\\n10 10\\n\",\n \"17\\n68 69\\n47 48\\n30 31\\n52 54\\n41 43\\n33 35\\n38 40\\n56 58\\n45 46\\n92 93\\n73 74\\n61 63\\n65 66\\n37 39\\n67 68\\n77 78\\n28 30\\n\",\n \"26\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n\",\n \"10\\n0 10\\n0 20\\n0 30\\n0 40\\n0 50\\n0 60\\n0 70\\n0 80\\n0 90\\n0 100\\n\",\n \"14\\n1 1\\n1 1\\n1 55\\n1 16\\n1 1\\n1 1\\n1 55\\n1 62\\n1 53\\n1 26\\n1 1\\n1 36\\n1 2\\n1 3\\n\",\n \"44\\n0 8\\n1 11\\n2 19\\n3 5\\n4 29\\n5 45\\n6 6\\n7 40\\n8 19\\n9 22\\n10 18\\n11 26\\n12 46\\n13 13\\n14 27\\n15 48\\n16 25\\n17 20\\n18 29\\n19 27\\n20 45\\n21 39\\n22 29\\n23 39\\n24 42\\n25 37\\n26 52\\n27 36\\n28 43\\n29 35\\n30 38\\n31 70\\n32 47\\n33 38\\n34 61\\n35 71\\n36 51\\n37 71\\n38 59\\n39 77\\n40 70\\n41 80\\n42 77\\n43 73\\n\",\n \"2\\n36 67\\n61 69\\n\",\n \"15\\n55 57\\n95 97\\n57 59\\n34 36\\n50 52\\n96 98\\n39 40\\n13 15\\n13 14\\n74 76\\n47 48\\n56 58\\n24 25\\n11 13\\n67 68\\n\",\n \"1\\n0 0\\n\",\n \"19\\n66 67\\n97 98\\n89 91\\n67 69\\n67 68\\n18 20\\n72 74\\n28 30\\n91 92\\n27 28\\n75 77\\n17 18\\n74 75\\n28 30\\n16 18\\n90 92\\n9 11\\n22 24\\n52 54\\n\",\n \"13\\n14 16\\n30 31\\n45 46\\n19 20\\n15 17\\n66 67\\n75 76\\n95 97\\n29 30\\n37 38\\n0 2\\n36 37\\n8 9\\n\",\n \"55\\n0 0\\n1 1\\n2 2\\n3 3\\n4 4\\n5 5\\n6 6\\n7 7\\n8 8\\n9 9\\n10 10\\n11 11\\n12 12\\n13 13\\n14 14\\n15 15\\n16 16\\n17 17\\n18 18\\n19 19\\n20 20\\n21 21\\n22 22\\n23 23\\n24 24\\n25 25\\n26 26\\n27 27\\n28 28\\n29 29\\n30 30\\n31 31\\n32 32\\n33 33\\n34 34\\n35 35\\n36 36\\n37 37\\n38 38\\n39 39\\n40 40\\n41 41\\n42 42\\n43 43\\n44 44\\n45 45\\n46 46\\n47 47\\n48 48\\n49 49\\n50 50\\n51 51\\n52 52\\n53 53\\n54 54\\n\",\n \"3\\n1 2\\n2 3\\n3 4\\n\",\n \"3\\n21 71\\n10 88\\n43 62\\n\",\n \"53\\n0 1\\n1 2\\n2 3\\n3 4\\n4 5\\n5 6\\n6 7\\n7 8\\n8 9\\n9 10\\n10 11\\n11 12\\n12 13\\n13 14\\n14 15\\n15 16\\n16 17\\n17 18\\n18 19\\n19 20\\n20 21\\n21 22\\n22 23\\n23 24\\n24 25\\n25 26\\n26 27\\n27 28\\n28 29\\n29 30\\n30 31\\n31 32\\n32 33\\n33 34\\n34 35\\n35 36\\n36 37\\n37 38\\n38 39\\n39 40\\n40 41\\n41 42\\n42 43\\n43 44\\n44 45\\n45 46\\n46 47\\n47 48\\n48 49\\n49 50\\n50 51\\n51 52\\n52 53\\n\",\n \"68\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n\",\n \"100\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 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64\\n71 73\\n88 90\\n21 22\\n89 90\\n65 66\\n89 91\\n96 98\\n42 44\\n1 1\\n74 76\\n72 74\\n39 40\\n75 76\\n29 30\\n48 49\\n87 89\\n27 28\\n\",\n \"17\\n68 69\\n47 48\\n30 31\\n52 54\\n41 43\\n33 35\\n38 40\\n56 58\\n45 46\\n92 93\\n73 74\\n61 63\\n65 66\\n37 39\\n64 68\\n77 78\\n28 30\\n\",\n \"26\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n2 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n\",\n \"10\\n0 10\\n0 20\\n0 30\\n0 40\\n0 50\\n0 60\\n0 70\\n0 80\\n0 84\\n0 100\\n\",\n \"14\\n1 1\\n1 1\\n1 55\\n1 16\\n1 1\\n1 1\\n1 55\\n1 62\\n1 53\\n1 2\\n1 1\\n1 36\\n1 2\\n1 3\\n\",\n \"13\\n14 16\\n30 31\\n45 46\\n19 20\\n15 17\\n66 67\\n75 135\\n95 97\\n29 30\\n37 38\\n0 2\\n36 37\\n8 9\\n\",\n \"55\\n0 0\\n1 1\\n2 2\\n3 3\\n4 4\\n5 5\\n6 6\\n7 7\\n8 8\\n9 9\\n10 10\\n11 11\\n12 12\\n13 13\\n14 14\\n15 15\\n16 16\\n17 17\\n18 18\\n19 19\\n20 20\\n21 21\\n22 22\\n23 23\\n24 24\\n25 25\\n26 30\\n27 27\\n28 28\\n29 29\\n30 30\\n31 31\\n32 32\\n33 33\\n34 34\\n35 35\\n36 36\\n37 37\\n38 38\\n39 39\\n40 40\\n41 41\\n42 42\\n43 43\\n44 44\\n45 45\\n46 46\\n47 47\\n48 48\\n49 49\\n50 50\\n51 51\\n52 52\\n53 53\\n54 54\\n\",\n \"3\\n21 71\\n9 88\\n43 62\\n\",\n \"68\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n1 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n\",\n \"51\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 62\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 73\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 82\\n55 68\\n55 70\\n55 63\\n48 55\\n55 55\\n55 55\\n55 75\\n55 75\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 73\\n55 55\\n55 82\\n55 99\\n55 60\\n\",\n \"3\\n1 3\\n2 9\\n8 9\\n\",\n \"68\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 1\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n1 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n\",\n \"68\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n1 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 1\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n1 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n\",\n \"14\\n64 66\\n43 44\\n10 12\\n76 77\\n7 12\\n25 46\\n87 88\\n62 64\\n10 41\\n58 60\\n10 11\\n28 29\\n57 58\\n12 14\\n\",\n \"17\\n52 69\\n47 71\\n30 31\\n52 54\\n41 43\\n33 35\\n38 40\\n56 58\\n45 46\\n92 93\\n73 74\\n61 80\\n65 66\\n37 39\\n64 68\\n77 78\\n28 30\\n\",\n \"68\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n1 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 1\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 0\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n1 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n\",\n \"26\\n1 2\\n1 2\\n0 2\\n1 2\\n1 2\\n1 3\\n1 2\\n1 2\\n1 2\\n2 2\\n1 2\\n1 2\\n0 2\\n0 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n\",\n \"68\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n1 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 1\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 0\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 0\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n1 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n\",\n \"68\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 4\\n1 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 1\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 0\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 0\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n1 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n1 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n\",\n \"68\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 4\\n1 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 1\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 0\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 0\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n1 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n1 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 0\\n0 2\\n0 2\\n\",\n \"68\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 0\\n0 4\\n1 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 1\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 0\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 0\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n1 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n1 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 0\\n0 2\\n0 2\\n\",\n \"68\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 0\\n0 4\\n1 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 1\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 0\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 0\\n0 2\\n0 2\\n0 2\\n0 2\\n1 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n1 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n1 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 0\\n0 2\\n0 2\\n\",\n \"1\\n0 1\\n\",\n \"3\\n1 3\\n2 3\\n3 4\\n\",\n \"100\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 1\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n\",\n \"14\\n64 66\\n43 44\\n10 12\\n76 77\\n11 12\\n25 27\\n87 88\\n62 64\\n10 41\\n58 60\\n10 11\\n28 29\\n57 58\\n12 14\\n\",\n \"3\\n1 1\\n2 3\\n3 3\\n\",\n \"3\\n1 20\\n0 10\\n10 10\\n\",\n \"17\\n68 69\\n47 71\\n30 31\\n52 54\\n41 43\\n33 35\\n38 40\\n56 58\\n45 46\\n92 93\\n73 74\\n61 63\\n65 66\\n37 39\\n64 68\\n77 78\\n28 30\\n\",\n \"26\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n2 2\\n1 2\\n1 2\\n1 2\\n0 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n\",\n \"10\\n1 10\\n0 20\\n0 30\\n0 40\\n0 50\\n0 60\\n0 70\\n0 80\\n0 84\\n0 100\\n\",\n \"14\\n1 2\\n1 1\\n1 55\\n1 16\\n1 1\\n1 1\\n1 55\\n1 62\\n1 53\\n1 2\\n1 1\\n1 36\\n1 2\\n1 3\\n\",\n \"1\\n0 2\\n\",\n \"3\\n1 3\\n2 3\\n3 7\\n\",\n \"3\\n21 71\\n9 88\\n43 79\\n\",\n \"51\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 62\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 73\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 82\\n55 68\\n55 70\\n55 63\\n48 55\\n55 55\\n55 55\\n55 75\\n55 75\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 73\\n55 55\\n19 82\\n55 99\\n55 60\\n\",\n \"14\\n64 66\\n43 44\\n10 12\\n76 77\\n11 12\\n25 46\\n87 88\\n62 64\\n10 41\\n58 60\\n10 11\\n28 29\\n57 58\\n12 14\\n\",\n \"3\\n1 1\\n2 3\\n2 3\\n\",\n \"3\\n1 2\\n0 10\\n10 10\\n\",\n \"17\\n68 69\\n47 71\\n30 31\\n52 54\\n41 43\\n33 35\\n38 40\\n56 58\\n45 46\\n92 93\\n73 74\\n61 80\\n65 66\\n37 39\\n64 68\\n77 78\\n28 30\\n\",\n \"26\\n1 2\\n1 2\\n0 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n2 2\\n1 2\\n1 2\\n1 2\\n0 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n\",\n \"10\\n1 10\\n0 20\\n1 30\\n0 40\\n0 50\\n0 60\\n0 70\\n0 80\\n0 84\\n0 100\\n\",\n \"14\\n1 2\\n1 1\\n0 55\\n1 16\\n1 1\\n1 1\\n1 55\\n1 62\\n1 53\\n1 2\\n1 1\\n1 36\\n1 2\\n1 3\\n\",\n \"1\\n-1 2\\n\",\n \"3\\n1 2\\n2 3\\n3 7\\n\",\n \"3\\n21 71\\n9 88\\n1 79\\n\",\n \"26\\n1 2\\n1 2\\n0 2\\n1 2\\n1 2\\n1 3\\n1 2\\n1 2\\n1 2\\n2 2\\n1 2\\n1 2\\n1 2\\n0 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n\",\n \"10\\n1 10\\n1 20\\n1 30\\n0 40\\n0 50\\n0 60\\n0 70\\n0 80\\n0 84\\n0 100\\n\",\n \"14\\n1 2\\n1 1\\n0 55\\n1 16\\n1 1\\n0 1\\n1 55\\n1 62\\n1 53\\n1 2\\n1 1\\n1 36\\n1 2\\n1 3\\n\",\n \"1\\n-1 0\\n\",\n \"3\\n21 71\\n9 95\\n1 79\\n\",\n \"14\\n52 66\\n43 44\\n10 12\\n76 77\\n7 12\\n25 46\\n87 88\\n62 64\\n10 41\\n58 60\\n10 11\\n28 29\\n57 58\\n12 14\\n\",\n \"10\\n1 10\\n1 20\\n1 30\\n0 39\\n0 50\\n0 60\\n0 70\\n0 80\\n0 84\\n0 100\\n\",\n \"14\\n1 2\\n1 1\\n0 55\\n1 16\\n1 1\\n0 1\\n0 55\\n1 62\\n1 53\\n1 2\\n1 1\\n1 36\\n1 2\\n1 3\\n\",\n \"1\\n-1 1\\n\",\n \"3\\n21 71\\n9 95\\n1 6\\n\",\n \"14\\n52 66\\n43 44\\n10 12\\n76 77\\n7 12\\n25 46\\n87 88\\n62 64\\n10 41\\n58 60\\n10 19\\n28 29\\n57 58\\n12 14\\n\",\n \"26\\n1 2\\n1 2\\n0 2\\n1 2\\n1 2\\n1 3\\n1 2\\n1 2\\n1 2\\n2 2\\n1 2\\n1 2\\n0 2\\n0 2\\n1 2\\n1 2\\n1 2\\n0 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n\",\n \"10\\n1 10\\n1 20\\n1 30\\n0 39\\n0 50\\n1 60\\n0 70\\n0 80\\n0 84\\n0 100\\n\",\n \"14\\n1 2\\n1 1\\n0 103\\n1 16\\n1 1\\n0 1\\n0 55\\n1 62\\n1 53\\n1 2\\n1 1\\n1 36\\n1 2\\n1 3\\n\",\n \"1\\n-2 1\\n\",\n \"3\\n29 71\\n9 95\\n1 6\\n\",\n \"68\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 4\\n1 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 1\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 0\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 0\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n1 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n\",\n \"14\\n52 66\\n43 44\\n10 12\\n76 77\\n7 12\\n25 46\\n87 88\\n62 64\\n10 41\\n39 60\\n10 19\\n28 29\\n57 58\\n12 14\\n\",\n \"26\\n1 2\\n1 2\\n0 2\\n1 2\\n1 2\\n1 3\\n1 2\\n1 2\\n1 2\\n2 2\\n1 2\\n1 2\\n0 2\\n0 2\\n1 2\\n1 2\\n1 2\\n0 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n2 2\\n1 2\\n1 2\\n\",\n \"10\\n1 10\\n1 20\\n1 30\\n-1 39\\n0 50\\n1 60\\n0 70\\n0 80\\n0 84\\n0 100\\n\",\n \"14\\n1 2\\n1 1\\n0 103\\n1 16\\n1 1\\n0 1\\n0 55\\n1 49\\n1 53\\n1 2\\n1 1\\n1 36\\n1 2\\n1 3\\n\",\n \"1\\n-2 0\\n\",\n \"26\\n1 2\\n1 2\\n0 2\\n1 2\\n1 2\\n1 3\\n1 2\\n1 2\\n1 2\\n2 2\\n1 2\\n1 2\\n0 2\\n0 2\\n1 2\\n1 2\\n1 2\\n0 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n2 2\\n2 2\\n1 2\\n\",\n \"10\\n1 10\\n1 20\\n1 30\\n-1 39\\n0 50\\n1 60\\n0 108\\n0 80\\n0 84\\n0 100\\n\",\n \"14\\n1 2\\n1 1\\n0 103\\n1 16\\n1 1\\n0 1\\n0 55\\n1 49\\n1 3\\n1 2\\n1 1\\n1 36\\n1 2\\n1 3\\n\",\n \"26\\n1 2\\n1 2\\n0 2\\n1 2\\n1 2\\n1 3\\n1 2\\n1 2\\n1 2\\n2 2\\n1 2\\n1 2\\n0 2\\n0 2\\n1 2\\n1 2\\n2 2\\n0 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n2 2\\n2 2\\n1 2\\n\",\n \"10\\n1 10\\n1 20\\n1 30\\n-1 17\\n0 50\\n1 60\\n0 108\\n0 80\\n0 84\\n0 100\\n\",\n \"14\\n1 2\\n1 1\\n0 103\\n1 16\\n1 1\\n0 1\\n0 55\\n1 49\\n1 3\\n1 2\\n1 1\\n1 36\\n1 2\\n1 4\\n\",\n \"26\\n1 2\\n1 2\\n0 2\\n1 2\\n1 2\\n1 3\\n1 2\\n1 2\\n1 2\\n2 2\\n1 2\\n1 2\\n0 2\\n-1 2\\n1 2\\n1 2\\n2 2\\n0 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n2 2\\n2 2\\n1 2\\n\",\n \"10\\n1 10\\n1 20\\n1 30\\n-1 17\\n0 50\\n1 60\\n0 108\\n-1 80\\n0 84\\n0 100\\n\",\n \"26\\n1 2\\n1 2\\n0 2\\n1 2\\n1 2\\n1 3\\n1 2\\n1 2\\n1 2\\n2 2\\n1 2\\n1 2\\n0 2\\n-1 2\\n1 2\\n1 2\\n2 2\\n0 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n2 2\\n1 2\\n\",\n \"10\\n1 10\\n0 20\\n1 30\\n-1 17\\n0 50\\n1 60\\n0 108\\n-1 80\\n0 84\\n0 100\\n\",\n \"68\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 0\\n0 4\\n2 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 1\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 0\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 0\\n0 2\\n0 2\\n0 2\\n0 2\\n1 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n1 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n1 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 0\\n0 2\\n0 2\\n\",\n \"26\\n1 2\\n1 2\\n0 2\\n1 2\\n1 2\\n1 3\\n1 2\\n1 2\\n1 2\\n2 2\\n1 2\\n1 2\\n0 2\\n-1 2\\n1 2\\n1 2\\n2 2\\n0 2\\n1 2\\n1 2\\n1 1\\n1 2\\n1 2\\n1 2\\n2 2\\n1 2\\n\",\n \"10\\n1 10\\n0 20\\n1 30\\n0 17\\n0 50\\n1 60\\n0 108\\n-1 80\\n0 84\\n0 100\\n\"\n ],\n \"output\": [\n \"0\\n\",\n \"2\\n\",\n \"8\\n\",\n \"0\\n\",\n \"10\\n\",\n \"8\\n\",\n \"42\\n\",\n \"2\\n\",\n \"10\\n\",\n \"0\\n\",\n \"12\\n\",\n \"4\\n\",\n \"0\\n\",\n \"0\\n\",\n \"3\\n\",\n \"0\\n\",\n \"68\\n\",\n \"0\\n\",\n \"12\\n\",\n \"2\\n\",\n \"5\\n\",\n 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\"5\\n\",\n \"10\\n\"\n ]\n}"},"source":{"kind":"class label","value":"2","name":"CODEFORCES"}}},{"rowIdx":38273,"cells":{"id":{"kind":"string","value":"467_A. George and Accommodation_38273"},"description":{"kind":"string","value":"George has recently entered the BSUCP (Berland State University for Cool Programmers). George has a friend Alex who has also entered the university. Now they are moving into a dormitory. \n\nGeorge and Alex want to live in the same room. The dormitory has n rooms in total. At the moment the i-th room has pi people living in it and the room can accommodate qi people in total (pi ≤ qi). Your task is to count how many rooms has free place for both George and Alex.\n\nInput\n\nThe first line contains a single integer n (1 ≤ n ≤ 100) — the number of rooms.\n\nThe i-th of the next n lines contains two integers pi and qi (0 ≤ pi ≤ qi ≤ 100) — the number of people who already live in the i-th room and the room's capacity.\n\nOutput\n\nPrint a single integer — the number of rooms where George and Alex can move in.\n\nExamples\n\nInput\n\n3\n1 1\n2 2\n3 3\n\n\nOutput\n\n0\n\n\nInput\n\n3\n1 10\n0 10\n10 10\n\n\nOutput\n\n2"},"code":{"kind":"string","value":"import java.util.*;\n\npublic class Solution\n{\n\tpublic static void main (String[] args) throws java.lang.Exception\n\t{\n\t int solution=0;\n\t Scanner scanner = new Scanner(System.in);\n\t int num_rooms = scanner.nextInt();\n\t for(int i=0; i=2){\n\t solution +=1;\n\t }\n\t }\n\t \n\t System.out.println(solution);\n\t}\n}\n"},"language":{"kind":"class label","value":"4","name":"JAVA"},"test_samples":{"kind":"string","value":"{\n \"input\": [\n \"3\\n1 1\\n2 2\\n3 3\\n\",\n \"3\\n1 10\\n0 10\\n10 10\\n\",\n \"17\\n68 69\\n47 48\\n30 31\\n52 54\\n41 43\\n33 35\\n38 40\\n56 58\\n45 46\\n92 93\\n73 74\\n61 63\\n65 66\\n37 39\\n67 68\\n77 78\\n28 30\\n\",\n \"26\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n\",\n \"10\\n0 10\\n0 20\\n0 30\\n0 40\\n0 50\\n0 60\\n0 70\\n0 80\\n0 90\\n0 100\\n\",\n \"14\\n1 1\\n1 1\\n1 55\\n1 16\\n1 1\\n1 1\\n1 55\\n1 62\\n1 53\\n1 26\\n1 1\\n1 36\\n1 2\\n1 3\\n\",\n \"44\\n0 8\\n1 11\\n2 19\\n3 5\\n4 29\\n5 45\\n6 6\\n7 40\\n8 19\\n9 22\\n10 18\\n11 26\\n12 46\\n13 13\\n14 27\\n15 48\\n16 25\\n17 20\\n18 29\\n19 27\\n20 45\\n21 39\\n22 29\\n23 39\\n24 42\\n25 37\\n26 52\\n27 36\\n28 43\\n29 35\\n30 38\\n31 70\\n32 47\\n33 38\\n34 61\\n35 71\\n36 51\\n37 71\\n38 59\\n39 77\\n40 70\\n41 80\\n42 77\\n43 73\\n\",\n \"2\\n36 67\\n61 69\\n\",\n \"15\\n55 57\\n95 97\\n57 59\\n34 36\\n50 52\\n96 98\\n39 40\\n13 15\\n13 14\\n74 76\\n47 48\\n56 58\\n24 25\\n11 13\\n67 68\\n\",\n \"1\\n0 0\\n\",\n \"19\\n66 67\\n97 98\\n89 91\\n67 69\\n67 68\\n18 20\\n72 74\\n28 30\\n91 92\\n27 28\\n75 77\\n17 18\\n74 75\\n28 30\\n16 18\\n90 92\\n9 11\\n22 24\\n52 54\\n\",\n \"13\\n14 16\\n30 31\\n45 46\\n19 20\\n15 17\\n66 67\\n75 76\\n95 97\\n29 30\\n37 38\\n0 2\\n36 37\\n8 9\\n\",\n \"55\\n0 0\\n1 1\\n2 2\\n3 3\\n4 4\\n5 5\\n6 6\\n7 7\\n8 8\\n9 9\\n10 10\\n11 11\\n12 12\\n13 13\\n14 14\\n15 15\\n16 16\\n17 17\\n18 18\\n19 19\\n20 20\\n21 21\\n22 22\\n23 23\\n24 24\\n25 25\\n26 26\\n27 27\\n28 28\\n29 29\\n30 30\\n31 31\\n32 32\\n33 33\\n34 34\\n35 35\\n36 36\\n37 37\\n38 38\\n39 39\\n40 40\\n41 41\\n42 42\\n43 43\\n44 44\\n45 45\\n46 46\\n47 47\\n48 48\\n49 49\\n50 50\\n51 51\\n52 52\\n53 53\\n54 54\\n\",\n \"3\\n1 2\\n2 3\\n3 4\\n\",\n \"3\\n21 71\\n10 88\\n43 62\\n\",\n \"53\\n0 1\\n1 2\\n2 3\\n3 4\\n4 5\\n5 6\\n6 7\\n7 8\\n8 9\\n9 10\\n10 11\\n11 12\\n12 13\\n13 14\\n14 15\\n15 16\\n16 17\\n17 18\\n18 19\\n19 20\\n20 21\\n21 22\\n22 23\\n23 24\\n24 25\\n25 26\\n26 27\\n27 28\\n28 29\\n29 30\\n30 31\\n31 32\\n32 33\\n33 34\\n34 35\\n35 36\\n36 37\\n37 38\\n38 39\\n39 40\\n40 41\\n41 42\\n42 43\\n43 44\\n44 45\\n45 46\\n46 47\\n47 48\\n48 49\\n49 50\\n50 51\\n51 52\\n52 53\\n\",\n \"68\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n\",\n \"100\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 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64\\n39 41\\n58 60\\n10 11\\n28 29\\n57 58\\n12 14\\n\",\n \"1\\n100 100\\n\",\n \"38\\n74 76\\n52 54\\n78 80\\n48 49\\n40 41\\n64 65\\n28 30\\n6 8\\n49 51\\n68 70\\n44 45\\n57 59\\n24 25\\n46 48\\n49 51\\n4 6\\n63 64\\n76 78\\n57 59\\n18 20\\n63 64\\n71 73\\n88 90\\n21 22\\n89 90\\n65 66\\n89 91\\n96 98\\n42 44\\n1 1\\n74 76\\n72 74\\n39 40\\n75 76\\n29 30\\n48 49\\n87 89\\n27 28\\n\",\n \"17\\n68 69\\n47 48\\n30 31\\n52 54\\n41 43\\n33 35\\n38 40\\n56 58\\n45 46\\n92 93\\n73 74\\n61 63\\n65 66\\n37 39\\n64 68\\n77 78\\n28 30\\n\",\n \"26\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n2 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n\",\n \"10\\n0 10\\n0 20\\n0 30\\n0 40\\n0 50\\n0 60\\n0 70\\n0 80\\n0 84\\n0 100\\n\",\n \"14\\n1 1\\n1 1\\n1 55\\n1 16\\n1 1\\n1 1\\n1 55\\n1 62\\n1 53\\n1 2\\n1 1\\n1 36\\n1 2\\n1 3\\n\",\n \"13\\n14 16\\n30 31\\n45 46\\n19 20\\n15 17\\n66 67\\n75 135\\n95 97\\n29 30\\n37 38\\n0 2\\n36 37\\n8 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55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 73\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 82\\n55 68\\n55 70\\n55 63\\n48 55\\n55 55\\n55 55\\n55 75\\n55 75\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 73\\n55 55\\n55 82\\n55 99\\n55 60\\n\",\n \"3\\n1 3\\n2 9\\n8 9\\n\",\n \"68\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 1\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n1 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n\",\n \"68\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n1 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 1\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n1 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n\",\n \"14\\n64 66\\n43 44\\n10 12\\n76 77\\n7 12\\n25 46\\n87 88\\n62 64\\n10 41\\n58 60\\n10 11\\n28 29\\n57 58\\n12 14\\n\",\n \"17\\n52 69\\n47 71\\n30 31\\n52 54\\n41 43\\n33 35\\n38 40\\n56 58\\n45 46\\n92 93\\n73 74\\n61 80\\n65 66\\n37 39\\n64 68\\n77 78\\n28 30\\n\",\n \"68\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n1 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 1\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 0\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n1 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n\",\n \"26\\n1 2\\n1 2\\n0 2\\n1 2\\n1 2\\n1 3\\n1 2\\n1 2\\n1 2\\n2 2\\n1 2\\n1 2\\n0 2\\n0 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n\",\n \"68\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n1 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 1\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 0\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 0\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n1 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n\",\n \"68\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 4\\n1 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 1\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 0\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 0\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n1 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n1 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n\",\n \"68\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 4\\n1 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 1\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 0\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 0\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n1 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n1 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 0\\n0 2\\n0 2\\n\",\n \"68\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 0\\n0 4\\n1 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 1\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 0\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 0\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n1 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n1 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 0\\n0 2\\n0 2\\n\",\n \"68\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 0\\n0 4\\n1 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 1\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 0\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 0\\n0 2\\n0 2\\n0 2\\n0 2\\n1 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n1 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n1 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 0\\n0 2\\n0 2\\n\",\n \"1\\n0 1\\n\",\n \"3\\n1 3\\n2 3\\n3 4\\n\",\n \"100\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 1\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n0 0\\n\",\n \"14\\n64 66\\n43 44\\n10 12\\n76 77\\n11 12\\n25 27\\n87 88\\n62 64\\n10 41\\n58 60\\n10 11\\n28 29\\n57 58\\n12 14\\n\",\n \"3\\n1 1\\n2 3\\n3 3\\n\",\n \"3\\n1 20\\n0 10\\n10 10\\n\",\n \"17\\n68 69\\n47 71\\n30 31\\n52 54\\n41 43\\n33 35\\n38 40\\n56 58\\n45 46\\n92 93\\n73 74\\n61 63\\n65 66\\n37 39\\n64 68\\n77 78\\n28 30\\n\",\n \"26\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n2 2\\n1 2\\n1 2\\n1 2\\n0 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n\",\n \"10\\n1 10\\n0 20\\n0 30\\n0 40\\n0 50\\n0 60\\n0 70\\n0 80\\n0 84\\n0 100\\n\",\n \"14\\n1 2\\n1 1\\n1 55\\n1 16\\n1 1\\n1 1\\n1 55\\n1 62\\n1 53\\n1 2\\n1 1\\n1 36\\n1 2\\n1 3\\n\",\n \"1\\n0 2\\n\",\n \"3\\n1 3\\n2 3\\n3 7\\n\",\n \"3\\n21 71\\n9 88\\n43 79\\n\",\n \"51\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 62\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 73\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 82\\n55 68\\n55 70\\n55 63\\n48 55\\n55 55\\n55 55\\n55 75\\n55 75\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 55\\n55 73\\n55 55\\n19 82\\n55 99\\n55 60\\n\",\n \"14\\n64 66\\n43 44\\n10 12\\n76 77\\n11 12\\n25 46\\n87 88\\n62 64\\n10 41\\n58 60\\n10 11\\n28 29\\n57 58\\n12 14\\n\",\n \"3\\n1 1\\n2 3\\n2 3\\n\",\n \"3\\n1 2\\n0 10\\n10 10\\n\",\n \"17\\n68 69\\n47 71\\n30 31\\n52 54\\n41 43\\n33 35\\n38 40\\n56 58\\n45 46\\n92 93\\n73 74\\n61 80\\n65 66\\n37 39\\n64 68\\n77 78\\n28 30\\n\",\n \"26\\n1 2\\n1 2\\n0 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n2 2\\n1 2\\n1 2\\n1 2\\n0 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n\",\n \"10\\n1 10\\n0 20\\n1 30\\n0 40\\n0 50\\n0 60\\n0 70\\n0 80\\n0 84\\n0 100\\n\",\n \"14\\n1 2\\n1 1\\n0 55\\n1 16\\n1 1\\n1 1\\n1 55\\n1 62\\n1 53\\n1 2\\n1 1\\n1 36\\n1 2\\n1 3\\n\",\n \"1\\n-1 2\\n\",\n \"3\\n1 2\\n2 3\\n3 7\\n\",\n \"3\\n21 71\\n9 88\\n1 79\\n\",\n \"26\\n1 2\\n1 2\\n0 2\\n1 2\\n1 2\\n1 3\\n1 2\\n1 2\\n1 2\\n2 2\\n1 2\\n1 2\\n1 2\\n0 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n\",\n \"10\\n1 10\\n1 20\\n1 30\\n0 40\\n0 50\\n0 60\\n0 70\\n0 80\\n0 84\\n0 100\\n\",\n \"14\\n1 2\\n1 1\\n0 55\\n1 16\\n1 1\\n0 1\\n1 55\\n1 62\\n1 53\\n1 2\\n1 1\\n1 36\\n1 2\\n1 3\\n\",\n \"1\\n-1 0\\n\",\n \"3\\n21 71\\n9 95\\n1 79\\n\",\n \"14\\n52 66\\n43 44\\n10 12\\n76 77\\n7 12\\n25 46\\n87 88\\n62 64\\n10 41\\n58 60\\n10 11\\n28 29\\n57 58\\n12 14\\n\",\n \"10\\n1 10\\n1 20\\n1 30\\n0 39\\n0 50\\n0 60\\n0 70\\n0 80\\n0 84\\n0 100\\n\",\n \"14\\n1 2\\n1 1\\n0 55\\n1 16\\n1 1\\n0 1\\n0 55\\n1 62\\n1 53\\n1 2\\n1 1\\n1 36\\n1 2\\n1 3\\n\",\n \"1\\n-1 1\\n\",\n \"3\\n21 71\\n9 95\\n1 6\\n\",\n \"14\\n52 66\\n43 44\\n10 12\\n76 77\\n7 12\\n25 46\\n87 88\\n62 64\\n10 41\\n58 60\\n10 19\\n28 29\\n57 58\\n12 14\\n\",\n \"26\\n1 2\\n1 2\\n0 2\\n1 2\\n1 2\\n1 3\\n1 2\\n1 2\\n1 2\\n2 2\\n1 2\\n1 2\\n0 2\\n0 2\\n1 2\\n1 2\\n1 2\\n0 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n\",\n \"10\\n1 10\\n1 20\\n1 30\\n0 39\\n0 50\\n1 60\\n0 70\\n0 80\\n0 84\\n0 100\\n\",\n \"14\\n1 2\\n1 1\\n0 103\\n1 16\\n1 1\\n0 1\\n0 55\\n1 62\\n1 53\\n1 2\\n1 1\\n1 36\\n1 2\\n1 3\\n\",\n \"1\\n-2 1\\n\",\n \"3\\n29 71\\n9 95\\n1 6\\n\",\n \"68\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 4\\n1 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 1\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 0\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 0\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n1 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n\",\n \"14\\n52 66\\n43 44\\n10 12\\n76 77\\n7 12\\n25 46\\n87 88\\n62 64\\n10 41\\n39 60\\n10 19\\n28 29\\n57 58\\n12 14\\n\",\n \"26\\n1 2\\n1 2\\n0 2\\n1 2\\n1 2\\n1 3\\n1 2\\n1 2\\n1 2\\n2 2\\n1 2\\n1 2\\n0 2\\n0 2\\n1 2\\n1 2\\n1 2\\n0 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n2 2\\n1 2\\n1 2\\n\",\n \"10\\n1 10\\n1 20\\n1 30\\n-1 39\\n0 50\\n1 60\\n0 70\\n0 80\\n0 84\\n0 100\\n\",\n \"14\\n1 2\\n1 1\\n0 103\\n1 16\\n1 1\\n0 1\\n0 55\\n1 49\\n1 53\\n1 2\\n1 1\\n1 36\\n1 2\\n1 3\\n\",\n \"1\\n-2 0\\n\",\n \"26\\n1 2\\n1 2\\n0 2\\n1 2\\n1 2\\n1 3\\n1 2\\n1 2\\n1 2\\n2 2\\n1 2\\n1 2\\n0 2\\n0 2\\n1 2\\n1 2\\n1 2\\n0 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n2 2\\n2 2\\n1 2\\n\",\n \"10\\n1 10\\n1 20\\n1 30\\n-1 39\\n0 50\\n1 60\\n0 108\\n0 80\\n0 84\\n0 100\\n\",\n \"14\\n1 2\\n1 1\\n0 103\\n1 16\\n1 1\\n0 1\\n0 55\\n1 49\\n1 3\\n1 2\\n1 1\\n1 36\\n1 2\\n1 3\\n\",\n \"26\\n1 2\\n1 2\\n0 2\\n1 2\\n1 2\\n1 3\\n1 2\\n1 2\\n1 2\\n2 2\\n1 2\\n1 2\\n0 2\\n0 2\\n1 2\\n1 2\\n2 2\\n0 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n2 2\\n2 2\\n1 2\\n\",\n \"10\\n1 10\\n1 20\\n1 30\\n-1 17\\n0 50\\n1 60\\n0 108\\n0 80\\n0 84\\n0 100\\n\",\n \"14\\n1 2\\n1 1\\n0 103\\n1 16\\n1 1\\n0 1\\n0 55\\n1 49\\n1 3\\n1 2\\n1 1\\n1 36\\n1 2\\n1 4\\n\",\n \"26\\n1 2\\n1 2\\n0 2\\n1 2\\n1 2\\n1 3\\n1 2\\n1 2\\n1 2\\n2 2\\n1 2\\n1 2\\n0 2\\n-1 2\\n1 2\\n1 2\\n2 2\\n0 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n2 2\\n2 2\\n1 2\\n\",\n \"10\\n1 10\\n1 20\\n1 30\\n-1 17\\n0 50\\n1 60\\n0 108\\n-1 80\\n0 84\\n0 100\\n\",\n \"26\\n1 2\\n1 2\\n0 2\\n1 2\\n1 2\\n1 3\\n1 2\\n1 2\\n1 2\\n2 2\\n1 2\\n1 2\\n0 2\\n-1 2\\n1 2\\n1 2\\n2 2\\n0 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n1 2\\n2 2\\n1 2\\n\",\n \"10\\n1 10\\n0 20\\n1 30\\n-1 17\\n0 50\\n1 60\\n0 108\\n-1 80\\n0 84\\n0 100\\n\",\n \"68\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 0\\n0 4\\n2 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 1\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 0\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 0\\n0 2\\n0 2\\n0 2\\n0 2\\n1 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n1 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n1 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 2\\n0 0\\n0 2\\n0 2\\n\",\n \"26\\n1 2\\n1 2\\n0 2\\n1 2\\n1 2\\n1 3\\n1 2\\n1 2\\n1 2\\n2 2\\n1 2\\n1 2\\n0 2\\n-1 2\\n1 2\\n1 2\\n2 2\\n0 2\\n1 2\\n1 2\\n1 1\\n1 2\\n1 2\\n1 2\\n2 2\\n1 2\\n\",\n \"10\\n1 10\\n0 20\\n1 30\\n0 17\\n0 50\\n1 60\\n0 108\\n-1 80\\n0 84\\n0 100\\n\"\n ],\n \"output\": [\n \"0\\n\",\n \"2\\n\",\n \"8\\n\",\n \"0\\n\",\n \"10\\n\",\n \"8\\n\",\n \"42\\n\",\n \"2\\n\",\n \"10\\n\",\n \"0\\n\",\n \"12\\n\",\n \"4\\n\",\n \"0\\n\",\n \"0\\n\",\n \"3\\n\",\n \"0\\n\",\n \"68\\n\",\n \"0\\n\",\n \"12\\n\",\n \"2\\n\",\n \"5\\n\",\n \"7\\n\",\n \"0\\n\",\n \"22\\n\",\n \"9\\n\",\n \"0\\n\",\n \"10\\n\",\n \"7\\n\",\n \"5\\n\",\n \"1\\n\",\n \"3\\n\",\n \"67\\n\",\n \"13\\n\",\n \"2\\n\",\n \"66\\n\",\n \"65\\n\",\n \"8\\n\",\n \"11\\n\",\n \"64\\n\",\n \"4\\n\",\n \"63\\n\",\n \"62\\n\",\n \"61\\n\",\n \"60\\n\",\n \"59\\n\",\n \"0\\n\",\n \"1\\n\",\n \"0\\n\",\n \"7\\n\",\n \"0\\n\",\n \"2\\n\",\n \"10\\n\",\n \"1\\n\",\n \"10\\n\",\n \"7\\n\",\n \"1\\n\",\n \"2\\n\",\n \"3\\n\",\n \"13\\n\",\n \"7\\n\",\n \"0\\n\",\n \"1\\n\",\n \"10\\n\",\n \"2\\n\",\n \"10\\n\",\n \"7\\n\",\n \"1\\n\",\n \"1\\n\",\n \"3\\n\",\n \"3\\n\",\n \"10\\n\",\n \"7\\n\",\n \"0\\n\",\n \"3\\n\",\n \"8\\n\",\n \"10\\n\",\n \"7\\n\",\n \"1\\n\",\n \"3\\n\",\n \"9\\n\",\n \"5\\n\",\n \"10\\n\",\n \"7\\n\",\n \"1\\n\",\n \"3\\n\",\n \"63\\n\",\n \"9\\n\",\n \"5\\n\",\n \"10\\n\",\n \"7\\n\",\n \"1\\n\",\n \"5\\n\",\n \"10\\n\",\n \"7\\n\",\n \"5\\n\",\n \"10\\n\",\n \"7\\n\",\n \"5\\n\",\n \"10\\n\",\n \"5\\n\",\n \"10\\n\",\n \"59\\n\",\n \"5\\n\",\n \"10\\n\"\n ]\n}"},"source":{"kind":"class label","value":"2","name":"CODEFORCES"}}},{"rowIdx":38274,"cells":{"id":{"kind":"string","value":"48_D. Permutations_38274"},"description":{"kind":"string","value":"A permutation is a sequence of integers from 1 to n of length n containing each number exactly once. For example, (1), (4, 3, 5, 1, 2), (3, 2, 1) are permutations, and (1, 1), (4, 3, 1), (2, 3, 4) are not. \n\nThere are many tasks on permutations. Today you are going to solve one of them. Let’s imagine that somebody took several permutations (perhaps, with a different number of elements), wrote them down consecutively as one array and then shuffled the resulting array. The task is to restore the initial permutations if it is possible.\n\nInput\n\nThe first line contains an integer n (1 ≤ n ≤ 105). The next line contains the mixed array of n integers, divided with a single space. The numbers in the array are from 1 to 105.\n\nOutput\n\nIf this array can be split into several permutations so that every element of the array belongs to exactly one permutation, print in the first line the number of permutations. The second line should contain n numbers, corresponding to the elements of the given array. If the i-th element belongs to the first permutation, the i-th number should be 1, if it belongs to the second one, then its number should be 2 and so on. The order of the permutations’ numbering is free.\n\nIf several solutions are possible, print any one of them. If there’s no solution, print in the first line - 1.\n\nExamples\n\nInput\n\n9\n1 2 3 1 2 1 4 2 5\n\n\nOutput\n\n3\n3 1 2 1 2 2 2 3 2\n\n\nInput\n\n4\n4 3 2 1\n\n\nOutput\n\n1\n1 1 1 1 \n\nInput\n\n4\n1 2 2 3\n\n\nOutput\n\n-1\n\nNote\n\nIn the first sample test the array is split into three permutations: (2, 1), (3, 2, 1, 4, 5), (1, 2). The first permutation is formed by the second and the fourth elements of the array, the second one — by the third, the fifth, the sixth, the seventh and the ninth elements, the third one — by the first and the eigth elements. Clearly, there are other splitting variants possible. "},"code":{"kind":"string","value":"def solve():\n max_n = 100000\n \n n = int(raw_input())\n\n a = [0] * max_n\n b = []\n for s in raw_input().split():\n b.append(int(s))\n \n for x in b:\n a[x - 1] += 1\n \n for i in range(1, len(a)):\n if a[i] > a[i - 1]:\n print -1\n return\n \n occurences = [0] * max_n\n res = [0] * n\n \n for i in range(0, len(b)):\n occurences[b[i]] += 1\n res[i] = occurences[b[i]]\n \n m = 0\n for x in res:\n m = max(x, m)\n \n print m\n \n for x in res:\n print x, \n \n \n \nsolve() "},"language":{"kind":"class label","value":"1","name":"Python2"},"test_samples":{"kind":"string","value":"{\n \"input\": [\n \"9\\n1 2 3 1 2 1 4 2 5\\n\",\n \"4\\n4 3 2 1\\n\",\n \"4\\n1 2 2 3\\n\",\n \"2\\n1000 1\\n\",\n \"5\\n2 2 1 1 3\\n\",\n \"100\\n12 18 1 1 14 23 1 1 22 5 7 9 7 1 1 1 3 8 4 2 1 6 9 1 3 2 11 1 11 2 3 2 1 4 2 7 1 16 3 4 2 13 3 1 5 11 2 10 20 24 3 21 5 2 6 2 1 10 10 5 17 1 1 4 19 8 5 5 3 9 4 2 7 8 10 4 9 1 3 3 9 7 6 4 4 3 6 8 12 1 3 6 2 1 8 4 1 15 2 5\\n\",\n \"50\\n7 1 6 5 15 3 13 7 1 1 4 2 4 3 2 1 11 9 4 2 3 7 1 1 1 14 3 14 5 2 5 4 1 8 2 2 2 2 1 1 4 1 2 3 6 12 1 1 5 1\\n\",\n \"100\\n10 1 13 1 5 2 5 5 9 10 3 8 4 1 3 5 6 4 1 4 9 8 1 1 1 1 8 2 3 1 1 2 5 1 1 12 6 4 5 3 1 3 18 10 1 2 3 2 6 2 3 15 1 3 5 3 9 7 1 6 11 7 7 8 6 17 11 7 6 1 4 4 1 1 3 1 2 6 7 14 4 4 5 1 11 1 4 2 8 4 2 7 16 12 1 1 2 2 1 2\\n\",\n \"3\\n2 1 1\\n\",\n \"1\\n1\\n\",\n \"9\\n1 2 3 1 2 1 4 2 5\\n\",\n \"20\\n4 6 6 4 5 4 3 2 5 7 3 2 4 1 3 1 1 4 1 7\\n\",\n \"6\\n3 3 2 2 1 1\\n\",\n \"20\\n2 10 3 3 2 1 14 13 2 15 1 4 5 12 7 11 9 1 6 8\\n\",\n \"30\\n1 3 2 5 9 4 16 14 2 2 4 11 7 17 1 15 13 3 6 12 6 19 8 1 20 5 18 4 10 3\\n\",\n \"20\\n1 1 1 2 3 1 5 9 5 8 4 6 7 3 1 2 2 1 3 4\\n\",\n \"30\\n2 8 3 3 7 4 2 9 4 3 5 6 1 5 3 5 8 1 9 6 6 7 2 7 1 1 1 10 2 1\\n\",\n \"10\\n4 1 2 1 3 3 1 2 2 1\\n\",\n \"10\\n1 2 5 1 1 1 4 1 3 2\\n\",\n \"2\\n100000 1\\n\",\n \"50\\n1 1 4 1 1 1 1 1 1 3 1 1 3 2 1 1 1 1 5 2 1 1 1 1 1 3 1 1 1 1 1 1 2 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1\\n\",\n \"10\\n2 2 6 3 1 4 5 3 7 7\\n\",\n \"30\\n8 7 9 6 2 3 7 1 1 5 7 2 3 1 7 4 5 6 3 9 4 9 4 2 3 1 1 2 2 10\\n\",\n \"1\\n2\\n\",\n \"20\\n1 7 2 3 1 1 8 1 6 1 9 11 5 10 1 4 2 3 1 2\\n\",\n \"100\\n9 6 3 28 10 2 2 11 2 1 25 3 13 5 14 13 4 14 2 16 12 27 8 1 7 9 8 19 33 23 4 1 15 6 7 12 2 8 30 4 1 31 6 1 15 5 18 3 2 24 7 3 1 20 10 8 26 22 3 3 9 6 1 10 1 5 1 3 7 6 11 10 1 16 19 5 9 4 4 4 2 18 12 21 11 5 2 32 17 29 2 4 8 1 7 5 3 2 17 1\\n\",\n \"20\\n2 7 3 8 4 6 3 7 6 4 13 5 1 12 1 10 2 11 5 9\\n\",\n \"30\\n6 1 2 3 6 4 1 8 1 2 2 5 5 1 1 3 9 1 5 8 1 2 7 7 4 3 1 3 4 2\\n\",\n \"10\\n2 1 2 4 6 1 5 3 7 1\\n\",\n \"100\\n2 13 10 4 13 8 22 11 5 3 4 6 19 4 8 8 6 1 16 4 11 17 5 18 7 7 4 5 3 7 2 16 5 6 10 1 6 12 14 6 8 7 9 7 1 2 1 8 5 5 9 21 7 11 6 1 12 10 6 23 10 9 8 4 1 2 3 13 2 14 15 1 1 12 3 9 12 3 13 9 8 1 12 5 2 3 11 7 11 9 3 14 1 2 15 2 10 4 14 20\\n\",\n \"30\\n2 6 2 3 3 1 4 2 1 3 3 2 1 2 1 8 1 2 4 1 1 1 5 1 4 7 1 9 1 1\\n\",\n \"5\\n1 1 1 1 1\\n\",\n \"2\\n1010 1\\n\",\n \"9\\n1 2 3 1 2 1 4 3 5\\n\",\n \"50\\n1 1 4 1 1 1 1 1 1 3 1 1 3 2 1 1 1 1 5 2 1 1 1 1 1 3 1 1 1 1 1 1 2 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 2\\n\",\n \"9\\n1 4 3 1 2 2 4 3 5\\n\",\n \"50\\n7 1 6 5 15 2 13 7 1 1 4 2 4 3 2 1 11 9 4 2 3 7 1 1 1 14 3 14 5 2 5 4 1 8 2 2 2 2 1 1 4 1 2 3 6 12 1 1 5 1\\n\",\n \"100\\n10 1 13 1 5 2 5 5 9 10 3 8 4 1 3 5 6 4 1 4 9 8 1 1 1 1 8 2 3 1 1 2 5 1 1 12 6 4 5 3 1 3 18 10 1 2 3 2 6 2 3 15 1 3 5 3 9 7 1 6 11 7 7 8 6 17 11 7 6 1 4 4 1 1 3 1 2 6 7 14 4 4 4 1 11 1 4 2 8 4 2 7 16 12 1 1 2 2 1 2\\n\",\n \"3\\n4 1 1\\n\",\n \"20\\n4 6 6 4 5 4 3 2 5 7 2 2 4 1 3 1 1 4 1 7\\n\",\n \"6\\n3 3 2 2 1 2\\n\",\n \"20\\n2 10 3 3 2 1 14 13 2 15 1 4 5 12 12 11 9 1 6 8\\n\",\n \"30\\n1 3 2 5 9 4 16 14 2 2 4 11 7 17 1 15 13 5 6 12 6 19 8 1 20 5 18 4 10 3\\n\",\n \"20\\n1 1 1 2 3 1 5 9 8 8 4 6 7 3 1 2 2 1 3 4\\n\",\n \"30\\n2 8 6 3 7 4 2 9 4 3 5 6 1 5 3 5 8 1 9 6 6 7 2 7 1 1 1 10 2 1\\n\",\n \"10\\n6 1 2 1 3 3 1 2 2 1\\n\",\n \"10\\n1 2 5 1 1 1 4 1 1 2\\n\",\n \"10\\n2 2 6 3 1 4 5 3 14 7\\n\",\n \"30\\n8 7 9 6 2 3 7 1 1 5 7 2 3 1 7 4 5 6 3 9 4 9 4 2 3 1 1 2 4 10\\n\",\n \"1\\n3\\n\",\n \"20\\n1 7 2 3 1 1 8 1 6 1 9 11 5 10 1 4 3 3 1 2\\n\",\n \"100\\n9 6 3 30 10 2 2 11 2 1 25 3 13 5 14 13 4 14 2 16 12 27 8 1 7 9 8 19 33 23 4 1 15 6 7 12 2 8 30 4 1 31 6 1 15 5 18 3 2 24 7 3 1 20 10 8 26 22 3 3 9 6 1 10 1 5 1 3 7 6 11 10 1 16 19 5 9 4 4 4 2 18 12 21 11 5 2 32 17 29 2 4 8 1 7 5 3 2 17 1\\n\",\n \"20\\n2 7 3 8 4 6 3 7 6 4 15 5 1 12 1 10 2 11 5 9\\n\",\n \"10\\n2 1 2 1 6 1 5 3 7 1\\n\",\n \"4\\n7 3 2 1\\n\",\n \"2\\n1010 2\\n\",\n \"50\\n7 1 6 5 15 2 13 7 1 1 4 2 4 3 2 1 11 9 5 2 3 7 1 1 1 14 3 14 5 2 5 4 1 8 2 2 2 2 1 1 4 1 2 3 6 12 1 1 5 1\\n\",\n \"100\\n10 1 13 1 5 2 5 5 9 10 3 8 4 1 3 5 6 4 1 4 9 8 1 1 1 1 8 2 3 1 1 2 5 1 1 12 6 6 5 3 1 3 18 10 1 2 3 2 6 2 3 15 1 3 5 3 9 7 1 6 11 7 7 8 6 17 11 7 6 1 4 4 1 1 3 1 2 6 7 14 4 4 4 1 11 1 4 2 8 4 2 7 16 12 1 1 2 2 1 2\\n\",\n \"9\\n1 4 3 1 2 1 4 3 5\\n\",\n \"20\\n4 6 6 4 5 4 3 2 5 7 2 2 4 1 6 1 1 4 1 7\\n\",\n \"20\\n2 10 3 3 2 1 14 13 2 15 1 4 5 12 12 11 9 1 5 8\\n\",\n \"30\\n1 3 2 5 9 4 16 14 2 2 4 11 7 17 1 15 13 5 6 12 6 19 8 1 20 5 18 4 2 3\\n\",\n \"20\\n1 1 1 2 3 1 4 9 8 8 4 6 7 3 1 2 2 1 3 4\\n\",\n \"30\\n2 8 2 3 7 4 2 9 4 3 5 6 1 5 3 5 8 1 9 6 6 7 2 7 1 1 1 10 2 1\\n\",\n \"10\\n6 1 3 1 3 3 1 2 2 1\\n\",\n \"10\\n2 2 6 3 1 4 5 3 10 7\\n\",\n \"1\\n5\\n\",\n \"20\\n1 7 2 3 1 1 8 1 6 1 9 11 9 10 1 4 3 3 1 2\\n\",\n \"20\\n2 7 3 8 4 6 3 7 6 4 15 5 1 12 1 10 2 11 8 9\\n\",\n \"2\\n1000 2\\n\",\n \"50\\n7 1 8 5 15 2 13 7 1 1 4 2 4 3 2 1 11 9 5 2 3 7 1 1 1 14 3 14 5 2 5 4 1 8 2 2 2 2 1 1 4 1 2 3 6 12 1 1 5 1\\n\",\n \"20\\n4 6 6 4 5 4 3 2 5 7 2 2 4 1 11 1 1 4 1 7\\n\",\n \"20\\n2 10 3 3 2 1 14 13 4 15 1 4 5 12 12 11 9 1 5 8\\n\",\n \"30\\n1 3 2 5 9 4 16 14 2 2 4 11 7 17 1 15 13 5 6 12 6 19 8 1 20 5 18 3 2 3\\n\",\n \"20\\n1 1 1 2 3 1 4 9 8 8 1 6 7 3 1 2 2 1 3 4\\n\",\n \"30\\n2 8 2 3 7 4 2 9 4 3 5 6 1 5 3 10 8 1 9 6 6 7 2 7 1 1 1 10 2 1\\n\",\n \"10\\n6 1 3 1 4 3 1 2 2 1\\n\",\n \"10\\n2 2 4 3 1 4 5 3 10 7\\n\",\n \"1\\n4\\n\",\n \"20\\n1 7 2 3 1 1 8 1 6 1 9 16 9 10 1 4 3 3 1 2\\n\",\n \"20\\n2 7 3 8 4 6 3 7 12 4 15 5 1 12 1 10 2 11 8 9\\n\",\n \"2\\n1000 3\\n\",\n \"50\\n7 1 8 5 15 2 13 7 1 1 4 2 4 3 2 1 11 9 5 2 3 7 1 1 1 28 3 14 5 2 5 4 1 8 2 2 2 2 1 1 4 1 2 3 6 12 1 1 5 1\\n\",\n \"9\\n1 8 3 1 2 2 4 3 5\\n\",\n \"20\\n4 6 6 4 5 4 3 2 5 4 2 2 4 1 11 1 1 4 1 7\\n\",\n \"20\\n2 10 3 3 2 1 14 13 4 15 1 4 5 12 12 11 18 1 5 8\\n\",\n \"20\\n1 1 1 2 3 1 4 9 8 1 1 6 7 3 1 2 2 1 3 4\\n\",\n \"30\\n2 8 2 3 7 4 2 9 4 3 5 6 2 5 3 10 8 1 9 6 6 7 2 7 1 1 1 10 2 1\\n\",\n \"10\\n6 1 3 2 4 3 1 2 2 1\\n\",\n \"10\\n3 2 4 3 1 4 5 3 10 7\\n\",\n \"1\\n6\\n\",\n \"20\\n2 7 3 8 4 6 3 7 12 4 15 5 1 12 1 10 2 11 8 15\\n\",\n \"2\\n1000 4\\n\",\n \"50\\n7 1 8 5 15 2 13 5 1 1 4 2 4 3 2 1 11 9 5 2 3 7 1 1 1 28 3 14 5 2 5 4 1 8 2 2 2 2 1 1 4 1 2 3 6 12 1 1 5 1\\n\",\n \"9\\n1 2 3 1 2 2 4 3 5\\n\",\n \"20\\n2 10 3 3 2 1 14 13 4 15 1 1 5 12 12 11 18 1 5 8\\n\"\n ],\n \"output\": [\n \"3\\n1 1 1 2 2 3 1 3 1 \",\n \"1\\n1 1 1 1 \",\n \"-1\",\n \"-1\",\n \"2\\n1 2 1 2 1 \",\n \"20\\n1 1 1 2 1 1 3 4 1 1 1 1 2 5 6 7 1 1 1 1 8 1 2 9 2 2 1 10 2 3 3 4 11 2 5 3 12 1 4 3 6 1 5 13 2 3 7 1 1 1 6 1 3 8 2 9 14 2 3 4 1 15 16 4 1 2 5 6 7 3 5 10 4 3 4 6 4 17 8 9 5 5 3 7 8 10 4 4 2 18 11 5 11 19 5 9 20 1 12 7 \",\n \"-1\",\n \"25\\n1 1 1 2 1 1 2 3 1 2 1 1 1 3 2 4 1 2 4 3 2 2 5 6 7 8 3 2 3 9 10 3 5 11 12 1 2 4 6 4 13 5 1 3 14 4 6 5 3 6 7 1 15 8 7 9 3 1 16 4 1 2 3 4 5 1 2 4 6 17 5 6 18 19 10 20 7 7 5 1 7 8 8 21 3 22 9 8 5 10 9 6 1 2 23 24 10 11 25 12 \",\n \"2\\n1 1 2 \",\n \"1\\n1 \",\n \"3\\n1 1 1 2 2 3 1 3 1 \",\n \"-1\",\n \"2\\n1 2 1 2 1 2 \",\n \"3\\n1 1 1 2 2 1 1 1 3 1 2 1 1 1 1 1 1 3 1 1 \",\n \"3\\n1 1 1 1 1 1 1 1 2 3 2 1 1 1 2 1 1 2 1 1 2 1 1 3 1 2 1 3 1 3 \",\n \"6\\n1 2 3 1 1 4 1 1 2 1 1 1 1 2 5 2 3 6 3 2 \",\n \"-1\",\n \"4\\n1 1 1 2 1 2 3 2 3 4 \",\n \"5\\n1 1 1 2 3 4 1 5 1 2 \",\n \"-1\",\n \"41\\n1 2 1 3 4 5 6 7 8 1 9 10 2 1 11 12 13 14 1 2 15 16 17 18 19 3 20 21 22 23 24 25 3 26 27 4 28 29 30 31 32 33 34 35 36 37 38 39 40 41 \",\n \"-1\",\n \"-1\",\n \"-1\",\n \"7\\n1 1 1 1 2 3 1 4 1 5 1 1 1 1 6 1 2 2 7 3 \",\n \"12\\n1 1 1 1 1 1 2 1 3 1 1 2 1 1 1 2 1 2 4 1 1 1 1 2 1 2 2 1 1 1 2 3 1 2 2 2 5 3 1 3 4 1 3 5 2 2 1 3 6 1 3 4 6 1 2 4 1 1 5 6 3 4 7 3 8 3 9 7 4 5 2 4 10 2 2 4 4 4 5 6 7 2 3 1 3 5 8 1 1 1 9 7 5 11 5 6 8 10 2 12 \",\n \"2\\n1 1 1 1 1 1 2 2 2 2 1 1 1 1 2 1 2 1 2 1 \",\n \"8\\n1 1 1 1 2 1 2 1 3 2 3 1 2 4 5 2 1 6 3 2 7 4 1 2 2 3 8 4 3 5 \",\n \"3\\n1 1 2 1 1 2 1 1 1 3 \",\n \"10\\n1 1 1 1 2 1 1 1 1 1 2 1 1 3 2 3 2 1 1 4 2 1 2 1 1 2 5 3 2 3 2 2 4 3 2 2 4 1 1 5 4 4 1 5 3 3 4 5 5 6 2 1 6 3 6 5 2 3 7 1 4 3 6 6 6 4 3 3 5 2 1 7 8 3 4 4 4 5 4 5 7 9 5 7 6 6 4 7 5 6 7 3 10 7 2 8 5 7 4 1 \",\n \"12\\n1 1 2 1 2 1 1 3 2 3 4 4 3 5 4 1 5 6 2 6 7 8 1 9 3 1 10 1 11 12 \",\n \"5\\n1 2 3 4 5 \",\n \"-1\\n\",\n \"3\\n1 1 1 2 2 3 1 2 1\\n\",\n \"40\\n1 2 1 3 4 5 6 7 8 1 9 10 2 1 11 12 13 14 1 2 15 16 17 18 19 3 20 21 22 23 24 25 3 26 27 4 28 29 30 31 32 33 34 35 36 37 38 39 40 5\\n\",\n \"2\\n1 1 1 2 1 2 2 2 1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\"\n ]\n}"},"source":{"kind":"class label","value":"2","name":"CODEFORCES"}}},{"rowIdx":38275,"cells":{"id":{"kind":"string","value":"48_D. Permutations_38275"},"description":{"kind":"string","value":"A permutation is a sequence of integers from 1 to n of length n containing each number exactly once. For example, (1), (4, 3, 5, 1, 2), (3, 2, 1) are permutations, and (1, 1), (4, 3, 1), (2, 3, 4) are not. \n\nThere are many tasks on permutations. Today you are going to solve one of them. Let’s imagine that somebody took several permutations (perhaps, with a different number of elements), wrote them down consecutively as one array and then shuffled the resulting array. The task is to restore the initial permutations if it is possible.\n\nInput\n\nThe first line contains an integer n (1 ≤ n ≤ 105). The next line contains the mixed array of n integers, divided with a single space. The numbers in the array are from 1 to 105.\n\nOutput\n\nIf this array can be split into several permutations so that every element of the array belongs to exactly one permutation, print in the first line the number of permutations. The second line should contain n numbers, corresponding to the elements of the given array. If the i-th element belongs to the first permutation, the i-th number should be 1, if it belongs to the second one, then its number should be 2 and so on. The order of the permutations’ numbering is free.\n\nIf several solutions are possible, print any one of them. If there’s no solution, print in the first line - 1.\n\nExamples\n\nInput\n\n9\n1 2 3 1 2 1 4 2 5\n\n\nOutput\n\n3\n3 1 2 1 2 2 2 3 2\n\n\nInput\n\n4\n4 3 2 1\n\n\nOutput\n\n1\n1 1 1 1 \n\nInput\n\n4\n1 2 2 3\n\n\nOutput\n\n-1\n\nNote\n\nIn the first sample test the array is split into three permutations: (2, 1), (3, 2, 1, 4, 5), (1, 2). The first permutation is formed by the second and the fourth elements of the array, the second one — by the third, the fifth, the sixth, the seventh and the ninth elements, the third one — by the first and the eigth elements. Clearly, there are other splitting variants possible. "},"code":{"kind":"string","value":"#include \nusing namespace std;\nint a[100001], p[100001];\nint main() {\n int n, i, Max = 0;\n scanf(\"%d\", &n);\n for (i = 0; i < n; i++) {\n scanf(\"%d\", a + i);\n p[a[i]]++;\n Max = max(Max, a[i]);\n }\n for (i = 1; i < Max; i++)\n if (p[i] < p[i + 1]) {\n printf(\"-1\");\n return 0;\n }\n printf(\"%d\\n\", p[1]);\n for (i = 0; i < n; i++) {\n if (i) printf(\" \");\n printf(\"%d\", p[a[i]]--);\n }\n return 0;\n}\n"},"language":{"kind":"class label","value":"2","name":"C++"},"test_samples":{"kind":"string","value":"{\n \"input\": [\n \"9\\n1 2 3 1 2 1 4 2 5\\n\",\n \"4\\n4 3 2 1\\n\",\n \"4\\n1 2 2 3\\n\",\n \"2\\n1000 1\\n\",\n \"5\\n2 2 1 1 3\\n\",\n \"100\\n12 18 1 1 14 23 1 1 22 5 7 9 7 1 1 1 3 8 4 2 1 6 9 1 3 2 11 1 11 2 3 2 1 4 2 7 1 16 3 4 2 13 3 1 5 11 2 10 20 24 3 21 5 2 6 2 1 10 10 5 17 1 1 4 19 8 5 5 3 9 4 2 7 8 10 4 9 1 3 3 9 7 6 4 4 3 6 8 12 1 3 6 2 1 8 4 1 15 2 5\\n\",\n \"50\\n7 1 6 5 15 3 13 7 1 1 4 2 4 3 2 1 11 9 4 2 3 7 1 1 1 14 3 14 5 2 5 4 1 8 2 2 2 2 1 1 4 1 2 3 6 12 1 1 5 1\\n\",\n \"100\\n10 1 13 1 5 2 5 5 9 10 3 8 4 1 3 5 6 4 1 4 9 8 1 1 1 1 8 2 3 1 1 2 5 1 1 12 6 4 5 3 1 3 18 10 1 2 3 2 6 2 3 15 1 3 5 3 9 7 1 6 11 7 7 8 6 17 11 7 6 1 4 4 1 1 3 1 2 6 7 14 4 4 5 1 11 1 4 2 8 4 2 7 16 12 1 1 2 2 1 2\\n\",\n \"3\\n2 1 1\\n\",\n \"1\\n1\\n\",\n \"9\\n1 2 3 1 2 1 4 2 5\\n\",\n \"20\\n4 6 6 4 5 4 3 2 5 7 3 2 4 1 3 1 1 4 1 7\\n\",\n \"6\\n3 3 2 2 1 1\\n\",\n \"20\\n2 10 3 3 2 1 14 13 2 15 1 4 5 12 7 11 9 1 6 8\\n\",\n \"30\\n1 3 2 5 9 4 16 14 2 2 4 11 7 17 1 15 13 3 6 12 6 19 8 1 20 5 18 4 10 3\\n\",\n \"20\\n1 1 1 2 3 1 5 9 5 8 4 6 7 3 1 2 2 1 3 4\\n\",\n \"30\\n2 8 3 3 7 4 2 9 4 3 5 6 1 5 3 5 8 1 9 6 6 7 2 7 1 1 1 10 2 1\\n\",\n \"10\\n4 1 2 1 3 3 1 2 2 1\\n\",\n \"10\\n1 2 5 1 1 1 4 1 3 2\\n\",\n \"2\\n100000 1\\n\",\n \"50\\n1 1 4 1 1 1 1 1 1 3 1 1 3 2 1 1 1 1 5 2 1 1 1 1 1 3 1 1 1 1 1 1 2 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1\\n\",\n \"10\\n2 2 6 3 1 4 5 3 7 7\\n\",\n \"30\\n8 7 9 6 2 3 7 1 1 5 7 2 3 1 7 4 5 6 3 9 4 9 4 2 3 1 1 2 2 10\\n\",\n \"1\\n2\\n\",\n \"20\\n1 7 2 3 1 1 8 1 6 1 9 11 5 10 1 4 2 3 1 2\\n\",\n \"100\\n9 6 3 28 10 2 2 11 2 1 25 3 13 5 14 13 4 14 2 16 12 27 8 1 7 9 8 19 33 23 4 1 15 6 7 12 2 8 30 4 1 31 6 1 15 5 18 3 2 24 7 3 1 20 10 8 26 22 3 3 9 6 1 10 1 5 1 3 7 6 11 10 1 16 19 5 9 4 4 4 2 18 12 21 11 5 2 32 17 29 2 4 8 1 7 5 3 2 17 1\\n\",\n \"20\\n2 7 3 8 4 6 3 7 6 4 13 5 1 12 1 10 2 11 5 9\\n\",\n \"30\\n6 1 2 3 6 4 1 8 1 2 2 5 5 1 1 3 9 1 5 8 1 2 7 7 4 3 1 3 4 2\\n\",\n \"10\\n2 1 2 4 6 1 5 3 7 1\\n\",\n \"100\\n2 13 10 4 13 8 22 11 5 3 4 6 19 4 8 8 6 1 16 4 11 17 5 18 7 7 4 5 3 7 2 16 5 6 10 1 6 12 14 6 8 7 9 7 1 2 1 8 5 5 9 21 7 11 6 1 12 10 6 23 10 9 8 4 1 2 3 13 2 14 15 1 1 12 3 9 12 3 13 9 8 1 12 5 2 3 11 7 11 9 3 14 1 2 15 2 10 4 14 20\\n\",\n \"30\\n2 6 2 3 3 1 4 2 1 3 3 2 1 2 1 8 1 2 4 1 1 1 5 1 4 7 1 9 1 1\\n\",\n \"5\\n1 1 1 1 1\\n\",\n \"2\\n1010 1\\n\",\n \"9\\n1 2 3 1 2 1 4 3 5\\n\",\n \"50\\n1 1 4 1 1 1 1 1 1 3 1 1 3 2 1 1 1 1 5 2 1 1 1 1 1 3 1 1 1 1 1 1 2 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 2\\n\",\n \"9\\n1 4 3 1 2 2 4 3 5\\n\",\n \"50\\n7 1 6 5 15 2 13 7 1 1 4 2 4 3 2 1 11 9 4 2 3 7 1 1 1 14 3 14 5 2 5 4 1 8 2 2 2 2 1 1 4 1 2 3 6 12 1 1 5 1\\n\",\n \"100\\n10 1 13 1 5 2 5 5 9 10 3 8 4 1 3 5 6 4 1 4 9 8 1 1 1 1 8 2 3 1 1 2 5 1 1 12 6 4 5 3 1 3 18 10 1 2 3 2 6 2 3 15 1 3 5 3 9 7 1 6 11 7 7 8 6 17 11 7 6 1 4 4 1 1 3 1 2 6 7 14 4 4 4 1 11 1 4 2 8 4 2 7 16 12 1 1 2 2 1 2\\n\",\n \"3\\n4 1 1\\n\",\n \"20\\n4 6 6 4 5 4 3 2 5 7 2 2 4 1 3 1 1 4 1 7\\n\",\n \"6\\n3 3 2 2 1 2\\n\",\n \"20\\n2 10 3 3 2 1 14 13 2 15 1 4 5 12 12 11 9 1 6 8\\n\",\n \"30\\n1 3 2 5 9 4 16 14 2 2 4 11 7 17 1 15 13 5 6 12 6 19 8 1 20 5 18 4 10 3\\n\",\n \"20\\n1 1 1 2 3 1 5 9 8 8 4 6 7 3 1 2 2 1 3 4\\n\",\n \"30\\n2 8 6 3 7 4 2 9 4 3 5 6 1 5 3 5 8 1 9 6 6 7 2 7 1 1 1 10 2 1\\n\",\n \"10\\n6 1 2 1 3 3 1 2 2 1\\n\",\n \"10\\n1 2 5 1 1 1 4 1 1 2\\n\",\n \"10\\n2 2 6 3 1 4 5 3 14 7\\n\",\n \"30\\n8 7 9 6 2 3 7 1 1 5 7 2 3 1 7 4 5 6 3 9 4 9 4 2 3 1 1 2 4 10\\n\",\n \"1\\n3\\n\",\n \"20\\n1 7 2 3 1 1 8 1 6 1 9 11 5 10 1 4 3 3 1 2\\n\",\n \"100\\n9 6 3 30 10 2 2 11 2 1 25 3 13 5 14 13 4 14 2 16 12 27 8 1 7 9 8 19 33 23 4 1 15 6 7 12 2 8 30 4 1 31 6 1 15 5 18 3 2 24 7 3 1 20 10 8 26 22 3 3 9 6 1 10 1 5 1 3 7 6 11 10 1 16 19 5 9 4 4 4 2 18 12 21 11 5 2 32 17 29 2 4 8 1 7 5 3 2 17 1\\n\",\n \"20\\n2 7 3 8 4 6 3 7 6 4 15 5 1 12 1 10 2 11 5 9\\n\",\n \"10\\n2 1 2 1 6 1 5 3 7 1\\n\",\n \"4\\n7 3 2 1\\n\",\n \"2\\n1010 2\\n\",\n \"50\\n7 1 6 5 15 2 13 7 1 1 4 2 4 3 2 1 11 9 5 2 3 7 1 1 1 14 3 14 5 2 5 4 1 8 2 2 2 2 1 1 4 1 2 3 6 12 1 1 5 1\\n\",\n \"100\\n10 1 13 1 5 2 5 5 9 10 3 8 4 1 3 5 6 4 1 4 9 8 1 1 1 1 8 2 3 1 1 2 5 1 1 12 6 6 5 3 1 3 18 10 1 2 3 2 6 2 3 15 1 3 5 3 9 7 1 6 11 7 7 8 6 17 11 7 6 1 4 4 1 1 3 1 2 6 7 14 4 4 4 1 11 1 4 2 8 4 2 7 16 12 1 1 2 2 1 2\\n\",\n \"9\\n1 4 3 1 2 1 4 3 5\\n\",\n \"20\\n4 6 6 4 5 4 3 2 5 7 2 2 4 1 6 1 1 4 1 7\\n\",\n \"20\\n2 10 3 3 2 1 14 13 2 15 1 4 5 12 12 11 9 1 5 8\\n\",\n \"30\\n1 3 2 5 9 4 16 14 2 2 4 11 7 17 1 15 13 5 6 12 6 19 8 1 20 5 18 4 2 3\\n\",\n \"20\\n1 1 1 2 3 1 4 9 8 8 4 6 7 3 1 2 2 1 3 4\\n\",\n \"30\\n2 8 2 3 7 4 2 9 4 3 5 6 1 5 3 5 8 1 9 6 6 7 2 7 1 1 1 10 2 1\\n\",\n \"10\\n6 1 3 1 3 3 1 2 2 1\\n\",\n \"10\\n2 2 6 3 1 4 5 3 10 7\\n\",\n \"1\\n5\\n\",\n \"20\\n1 7 2 3 1 1 8 1 6 1 9 11 9 10 1 4 3 3 1 2\\n\",\n \"20\\n2 7 3 8 4 6 3 7 6 4 15 5 1 12 1 10 2 11 8 9\\n\",\n \"2\\n1000 2\\n\",\n \"50\\n7 1 8 5 15 2 13 7 1 1 4 2 4 3 2 1 11 9 5 2 3 7 1 1 1 14 3 14 5 2 5 4 1 8 2 2 2 2 1 1 4 1 2 3 6 12 1 1 5 1\\n\",\n \"20\\n4 6 6 4 5 4 3 2 5 7 2 2 4 1 11 1 1 4 1 7\\n\",\n \"20\\n2 10 3 3 2 1 14 13 4 15 1 4 5 12 12 11 9 1 5 8\\n\",\n \"30\\n1 3 2 5 9 4 16 14 2 2 4 11 7 17 1 15 13 5 6 12 6 19 8 1 20 5 18 3 2 3\\n\",\n \"20\\n1 1 1 2 3 1 4 9 8 8 1 6 7 3 1 2 2 1 3 4\\n\",\n \"30\\n2 8 2 3 7 4 2 9 4 3 5 6 1 5 3 10 8 1 9 6 6 7 2 7 1 1 1 10 2 1\\n\",\n \"10\\n6 1 3 1 4 3 1 2 2 1\\n\",\n \"10\\n2 2 4 3 1 4 5 3 10 7\\n\",\n \"1\\n4\\n\",\n \"20\\n1 7 2 3 1 1 8 1 6 1 9 16 9 10 1 4 3 3 1 2\\n\",\n \"20\\n2 7 3 8 4 6 3 7 12 4 15 5 1 12 1 10 2 11 8 9\\n\",\n \"2\\n1000 3\\n\",\n \"50\\n7 1 8 5 15 2 13 7 1 1 4 2 4 3 2 1 11 9 5 2 3 7 1 1 1 28 3 14 5 2 5 4 1 8 2 2 2 2 1 1 4 1 2 3 6 12 1 1 5 1\\n\",\n \"9\\n1 8 3 1 2 2 4 3 5\\n\",\n \"20\\n4 6 6 4 5 4 3 2 5 4 2 2 4 1 11 1 1 4 1 7\\n\",\n \"20\\n2 10 3 3 2 1 14 13 4 15 1 4 5 12 12 11 18 1 5 8\\n\",\n \"20\\n1 1 1 2 3 1 4 9 8 1 1 6 7 3 1 2 2 1 3 4\\n\",\n \"30\\n2 8 2 3 7 4 2 9 4 3 5 6 2 5 3 10 8 1 9 6 6 7 2 7 1 1 1 10 2 1\\n\",\n \"10\\n6 1 3 2 4 3 1 2 2 1\\n\",\n \"10\\n3 2 4 3 1 4 5 3 10 7\\n\",\n \"1\\n6\\n\",\n \"20\\n2 7 3 8 4 6 3 7 12 4 15 5 1 12 1 10 2 11 8 15\\n\",\n \"2\\n1000 4\\n\",\n \"50\\n7 1 8 5 15 2 13 5 1 1 4 2 4 3 2 1 11 9 5 2 3 7 1 1 1 28 3 14 5 2 5 4 1 8 2 2 2 2 1 1 4 1 2 3 6 12 1 1 5 1\\n\",\n \"9\\n1 2 3 1 2 2 4 3 5\\n\",\n \"20\\n2 10 3 3 2 1 14 13 4 15 1 1 5 12 12 11 18 1 5 8\\n\"\n ],\n \"output\": [\n \"3\\n1 1 1 2 2 3 1 3 1 \",\n \"1\\n1 1 1 1 \",\n \"-1\",\n \"-1\",\n \"2\\n1 2 1 2 1 \",\n \"20\\n1 1 1 2 1 1 3 4 1 1 1 1 2 5 6 7 1 1 1 1 8 1 2 9 2 2 1 10 2 3 3 4 11 2 5 3 12 1 4 3 6 1 5 13 2 3 7 1 1 1 6 1 3 8 2 9 14 2 3 4 1 15 16 4 1 2 5 6 7 3 5 10 4 3 4 6 4 17 8 9 5 5 3 7 8 10 4 4 2 18 11 5 11 19 5 9 20 1 12 7 \",\n \"-1\",\n \"25\\n1 1 1 2 1 1 2 3 1 2 1 1 1 3 2 4 1 2 4 3 2 2 5 6 7 8 3 2 3 9 10 3 5 11 12 1 2 4 6 4 13 5 1 3 14 4 6 5 3 6 7 1 15 8 7 9 3 1 16 4 1 2 3 4 5 1 2 4 6 17 5 6 18 19 10 20 7 7 5 1 7 8 8 21 3 22 9 8 5 10 9 6 1 2 23 24 10 11 25 12 \",\n \"2\\n1 1 2 \",\n \"1\\n1 \",\n \"3\\n1 1 1 2 2 3 1 3 1 \",\n \"-1\",\n \"2\\n1 2 1 2 1 2 \",\n \"3\\n1 1 1 2 2 1 1 1 3 1 2 1 1 1 1 1 1 3 1 1 \",\n \"3\\n1 1 1 1 1 1 1 1 2 3 2 1 1 1 2 1 1 2 1 1 2 1 1 3 1 2 1 3 1 3 \",\n \"6\\n1 2 3 1 1 4 1 1 2 1 1 1 1 2 5 2 3 6 3 2 \",\n \"-1\",\n \"4\\n1 1 1 2 1 2 3 2 3 4 \",\n \"5\\n1 1 1 2 3 4 1 5 1 2 \",\n \"-1\",\n \"41\\n1 2 1 3 4 5 6 7 8 1 9 10 2 1 11 12 13 14 1 2 15 16 17 18 19 3 20 21 22 23 24 25 3 26 27 4 28 29 30 31 32 33 34 35 36 37 38 39 40 41 \",\n \"-1\",\n \"-1\",\n \"-1\",\n \"7\\n1 1 1 1 2 3 1 4 1 5 1 1 1 1 6 1 2 2 7 3 \",\n \"12\\n1 1 1 1 1 1 2 1 3 1 1 2 1 1 1 2 1 2 4 1 1 1 1 2 1 2 2 1 1 1 2 3 1 2 2 2 5 3 1 3 4 1 3 5 2 2 1 3 6 1 3 4 6 1 2 4 1 1 5 6 3 4 7 3 8 3 9 7 4 5 2 4 10 2 2 4 4 4 5 6 7 2 3 1 3 5 8 1 1 1 9 7 5 11 5 6 8 10 2 12 \",\n \"2\\n1 1 1 1 1 1 2 2 2 2 1 1 1 1 2 1 2 1 2 1 \",\n \"8\\n1 1 1 1 2 1 2 1 3 2 3 1 2 4 5 2 1 6 3 2 7 4 1 2 2 3 8 4 3 5 \",\n \"3\\n1 1 2 1 1 2 1 1 1 3 \",\n \"10\\n1 1 1 1 2 1 1 1 1 1 2 1 1 3 2 3 2 1 1 4 2 1 2 1 1 2 5 3 2 3 2 2 4 3 2 2 4 1 1 5 4 4 1 5 3 3 4 5 5 6 2 1 6 3 6 5 2 3 7 1 4 3 6 6 6 4 3 3 5 2 1 7 8 3 4 4 4 5 4 5 7 9 5 7 6 6 4 7 5 6 7 3 10 7 2 8 5 7 4 1 \",\n \"12\\n1 1 2 1 2 1 1 3 2 3 4 4 3 5 4 1 5 6 2 6 7 8 1 9 3 1 10 1 11 12 \",\n \"5\\n1 2 3 4 5 \",\n \"-1\\n\",\n \"3\\n1 1 1 2 2 3 1 2 1\\n\",\n \"40\\n1 2 1 3 4 5 6 7 8 1 9 10 2 1 11 12 13 14 1 2 15 16 17 18 19 3 20 21 22 23 24 25 3 26 27 4 28 29 30 31 32 33 34 35 36 37 38 39 40 5\\n\",\n \"2\\n1 1 1 2 1 2 2 2 1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\"\n ]\n}"},"source":{"kind":"class label","value":"2","name":"CODEFORCES"}}},{"rowIdx":38276,"cells":{"id":{"kind":"string","value":"48_D. Permutations_38276"},"description":{"kind":"string","value":"A permutation is a sequence of integers from 1 to n of length n containing each number exactly once. For example, (1), (4, 3, 5, 1, 2), (3, 2, 1) are permutations, and (1, 1), (4, 3, 1), (2, 3, 4) are not. \n\nThere are many tasks on permutations. Today you are going to solve one of them. Let’s imagine that somebody took several permutations (perhaps, with a different number of elements), wrote them down consecutively as one array and then shuffled the resulting array. The task is to restore the initial permutations if it is possible.\n\nInput\n\nThe first line contains an integer n (1 ≤ n ≤ 105). The next line contains the mixed array of n integers, divided with a single space. The numbers in the array are from 1 to 105.\n\nOutput\n\nIf this array can be split into several permutations so that every element of the array belongs to exactly one permutation, print in the first line the number of permutations. The second line should contain n numbers, corresponding to the elements of the given array. If the i-th element belongs to the first permutation, the i-th number should be 1, if it belongs to the second one, then its number should be 2 and so on. The order of the permutations’ numbering is free.\n\nIf several solutions are possible, print any one of them. If there’s no solution, print in the first line - 1.\n\nExamples\n\nInput\n\n9\n1 2 3 1 2 1 4 2 5\n\n\nOutput\n\n3\n3 1 2 1 2 2 2 3 2\n\n\nInput\n\n4\n4 3 2 1\n\n\nOutput\n\n1\n1 1 1 1 \n\nInput\n\n4\n1 2 2 3\n\n\nOutput\n\n-1\n\nNote\n\nIn the first sample test the array is split into three permutations: (2, 1), (3, 2, 1, 4, 5), (1, 2). The first permutation is formed by the second and the fourth elements of the array, the second one — by the third, the fifth, the sixth, the seventh and the ninth elements, the third one — by the first and the eigth elements. Clearly, there are other splitting variants possible. "},"code":{"kind":"string","value":"def fail():\n print(-1)\n import sys\n sys.exit()\n\nn = int(input())\ncount = (n + 1) * [ 0 ]\nassign = n * [ None ]\nfor i, x in enumerate(map(int, input().split())):\n if x > n:\n fail()\n count[x] += 1\n assign[i] = count[x]\n\nfor i in range(2, n):\n if count[i - 1] < count[i]:\n fail()\n\nprint(count[1])\nprint(' '.join(map(str, assign)))\n"},"language":{"kind":"class label","value":"3","name":"Python3"},"test_samples":{"kind":"string","value":"{\n \"input\": [\n \"9\\n1 2 3 1 2 1 4 2 5\\n\",\n \"4\\n4 3 2 1\\n\",\n \"4\\n1 2 2 3\\n\",\n \"2\\n1000 1\\n\",\n \"5\\n2 2 1 1 3\\n\",\n \"100\\n12 18 1 1 14 23 1 1 22 5 7 9 7 1 1 1 3 8 4 2 1 6 9 1 3 2 11 1 11 2 3 2 1 4 2 7 1 16 3 4 2 13 3 1 5 11 2 10 20 24 3 21 5 2 6 2 1 10 10 5 17 1 1 4 19 8 5 5 3 9 4 2 7 8 10 4 9 1 3 3 9 7 6 4 4 3 6 8 12 1 3 6 2 1 8 4 1 15 2 5\\n\",\n \"50\\n7 1 6 5 15 3 13 7 1 1 4 2 4 3 2 1 11 9 4 2 3 7 1 1 1 14 3 14 5 2 5 4 1 8 2 2 2 2 1 1 4 1 2 3 6 12 1 1 5 1\\n\",\n \"100\\n10 1 13 1 5 2 5 5 9 10 3 8 4 1 3 5 6 4 1 4 9 8 1 1 1 1 8 2 3 1 1 2 5 1 1 12 6 4 5 3 1 3 18 10 1 2 3 2 6 2 3 15 1 3 5 3 9 7 1 6 11 7 7 8 6 17 11 7 6 1 4 4 1 1 3 1 2 6 7 14 4 4 5 1 11 1 4 2 8 4 2 7 16 12 1 1 2 2 1 2\\n\",\n \"3\\n2 1 1\\n\",\n \"1\\n1\\n\",\n \"9\\n1 2 3 1 2 1 4 2 5\\n\",\n \"20\\n4 6 6 4 5 4 3 2 5 7 3 2 4 1 3 1 1 4 1 7\\n\",\n \"6\\n3 3 2 2 1 1\\n\",\n \"20\\n2 10 3 3 2 1 14 13 2 15 1 4 5 12 7 11 9 1 6 8\\n\",\n \"30\\n1 3 2 5 9 4 16 14 2 2 4 11 7 17 1 15 13 3 6 12 6 19 8 1 20 5 18 4 10 3\\n\",\n \"20\\n1 1 1 2 3 1 5 9 5 8 4 6 7 3 1 2 2 1 3 4\\n\",\n \"30\\n2 8 3 3 7 4 2 9 4 3 5 6 1 5 3 5 8 1 9 6 6 7 2 7 1 1 1 10 2 1\\n\",\n \"10\\n4 1 2 1 3 3 1 2 2 1\\n\",\n \"10\\n1 2 5 1 1 1 4 1 3 2\\n\",\n \"2\\n100000 1\\n\",\n \"50\\n1 1 4 1 1 1 1 1 1 3 1 1 3 2 1 1 1 1 5 2 1 1 1 1 1 3 1 1 1 1 1 1 2 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1\\n\",\n \"10\\n2 2 6 3 1 4 5 3 7 7\\n\",\n \"30\\n8 7 9 6 2 3 7 1 1 5 7 2 3 1 7 4 5 6 3 9 4 9 4 2 3 1 1 2 2 10\\n\",\n \"1\\n2\\n\",\n \"20\\n1 7 2 3 1 1 8 1 6 1 9 11 5 10 1 4 2 3 1 2\\n\",\n \"100\\n9 6 3 28 10 2 2 11 2 1 25 3 13 5 14 13 4 14 2 16 12 27 8 1 7 9 8 19 33 23 4 1 15 6 7 12 2 8 30 4 1 31 6 1 15 5 18 3 2 24 7 3 1 20 10 8 26 22 3 3 9 6 1 10 1 5 1 3 7 6 11 10 1 16 19 5 9 4 4 4 2 18 12 21 11 5 2 32 17 29 2 4 8 1 7 5 3 2 17 1\\n\",\n \"20\\n2 7 3 8 4 6 3 7 6 4 13 5 1 12 1 10 2 11 5 9\\n\",\n \"30\\n6 1 2 3 6 4 1 8 1 2 2 5 5 1 1 3 9 1 5 8 1 2 7 7 4 3 1 3 4 2\\n\",\n \"10\\n2 1 2 4 6 1 5 3 7 1\\n\",\n \"100\\n2 13 10 4 13 8 22 11 5 3 4 6 19 4 8 8 6 1 16 4 11 17 5 18 7 7 4 5 3 7 2 16 5 6 10 1 6 12 14 6 8 7 9 7 1 2 1 8 5 5 9 21 7 11 6 1 12 10 6 23 10 9 8 4 1 2 3 13 2 14 15 1 1 12 3 9 12 3 13 9 8 1 12 5 2 3 11 7 11 9 3 14 1 2 15 2 10 4 14 20\\n\",\n \"30\\n2 6 2 3 3 1 4 2 1 3 3 2 1 2 1 8 1 2 4 1 1 1 5 1 4 7 1 9 1 1\\n\",\n \"5\\n1 1 1 1 1\\n\",\n \"2\\n1010 1\\n\",\n \"9\\n1 2 3 1 2 1 4 3 5\\n\",\n \"50\\n1 1 4 1 1 1 1 1 1 3 1 1 3 2 1 1 1 1 5 2 1 1 1 1 1 3 1 1 1 1 1 1 2 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 2\\n\",\n \"9\\n1 4 3 1 2 2 4 3 5\\n\",\n \"50\\n7 1 6 5 15 2 13 7 1 1 4 2 4 3 2 1 11 9 4 2 3 7 1 1 1 14 3 14 5 2 5 4 1 8 2 2 2 2 1 1 4 1 2 3 6 12 1 1 5 1\\n\",\n \"100\\n10 1 13 1 5 2 5 5 9 10 3 8 4 1 3 5 6 4 1 4 9 8 1 1 1 1 8 2 3 1 1 2 5 1 1 12 6 4 5 3 1 3 18 10 1 2 3 2 6 2 3 15 1 3 5 3 9 7 1 6 11 7 7 8 6 17 11 7 6 1 4 4 1 1 3 1 2 6 7 14 4 4 4 1 11 1 4 2 8 4 2 7 16 12 1 1 2 2 1 2\\n\",\n \"3\\n4 1 1\\n\",\n \"20\\n4 6 6 4 5 4 3 2 5 7 2 2 4 1 3 1 1 4 1 7\\n\",\n \"6\\n3 3 2 2 1 2\\n\",\n \"20\\n2 10 3 3 2 1 14 13 2 15 1 4 5 12 12 11 9 1 6 8\\n\",\n \"30\\n1 3 2 5 9 4 16 14 2 2 4 11 7 17 1 15 13 5 6 12 6 19 8 1 20 5 18 4 10 3\\n\",\n \"20\\n1 1 1 2 3 1 5 9 8 8 4 6 7 3 1 2 2 1 3 4\\n\",\n \"30\\n2 8 6 3 7 4 2 9 4 3 5 6 1 5 3 5 8 1 9 6 6 7 2 7 1 1 1 10 2 1\\n\",\n \"10\\n6 1 2 1 3 3 1 2 2 1\\n\",\n \"10\\n1 2 5 1 1 1 4 1 1 2\\n\",\n \"10\\n2 2 6 3 1 4 5 3 14 7\\n\",\n \"30\\n8 7 9 6 2 3 7 1 1 5 7 2 3 1 7 4 5 6 3 9 4 9 4 2 3 1 1 2 4 10\\n\",\n \"1\\n3\\n\",\n \"20\\n1 7 2 3 1 1 8 1 6 1 9 11 5 10 1 4 3 3 1 2\\n\",\n \"100\\n9 6 3 30 10 2 2 11 2 1 25 3 13 5 14 13 4 14 2 16 12 27 8 1 7 9 8 19 33 23 4 1 15 6 7 12 2 8 30 4 1 31 6 1 15 5 18 3 2 24 7 3 1 20 10 8 26 22 3 3 9 6 1 10 1 5 1 3 7 6 11 10 1 16 19 5 9 4 4 4 2 18 12 21 11 5 2 32 17 29 2 4 8 1 7 5 3 2 17 1\\n\",\n \"20\\n2 7 3 8 4 6 3 7 6 4 15 5 1 12 1 10 2 11 5 9\\n\",\n \"10\\n2 1 2 1 6 1 5 3 7 1\\n\",\n \"4\\n7 3 2 1\\n\",\n \"2\\n1010 2\\n\",\n \"50\\n7 1 6 5 15 2 13 7 1 1 4 2 4 3 2 1 11 9 5 2 3 7 1 1 1 14 3 14 5 2 5 4 1 8 2 2 2 2 1 1 4 1 2 3 6 12 1 1 5 1\\n\",\n \"100\\n10 1 13 1 5 2 5 5 9 10 3 8 4 1 3 5 6 4 1 4 9 8 1 1 1 1 8 2 3 1 1 2 5 1 1 12 6 6 5 3 1 3 18 10 1 2 3 2 6 2 3 15 1 3 5 3 9 7 1 6 11 7 7 8 6 17 11 7 6 1 4 4 1 1 3 1 2 6 7 14 4 4 4 1 11 1 4 2 8 4 2 7 16 12 1 1 2 2 1 2\\n\",\n \"9\\n1 4 3 1 2 1 4 3 5\\n\",\n \"20\\n4 6 6 4 5 4 3 2 5 7 2 2 4 1 6 1 1 4 1 7\\n\",\n \"20\\n2 10 3 3 2 1 14 13 2 15 1 4 5 12 12 11 9 1 5 8\\n\",\n \"30\\n1 3 2 5 9 4 16 14 2 2 4 11 7 17 1 15 13 5 6 12 6 19 8 1 20 5 18 4 2 3\\n\",\n \"20\\n1 1 1 2 3 1 4 9 8 8 4 6 7 3 1 2 2 1 3 4\\n\",\n \"30\\n2 8 2 3 7 4 2 9 4 3 5 6 1 5 3 5 8 1 9 6 6 7 2 7 1 1 1 10 2 1\\n\",\n \"10\\n6 1 3 1 3 3 1 2 2 1\\n\",\n \"10\\n2 2 6 3 1 4 5 3 10 7\\n\",\n \"1\\n5\\n\",\n \"20\\n1 7 2 3 1 1 8 1 6 1 9 11 9 10 1 4 3 3 1 2\\n\",\n \"20\\n2 7 3 8 4 6 3 7 6 4 15 5 1 12 1 10 2 11 8 9\\n\",\n \"2\\n1000 2\\n\",\n \"50\\n7 1 8 5 15 2 13 7 1 1 4 2 4 3 2 1 11 9 5 2 3 7 1 1 1 14 3 14 5 2 5 4 1 8 2 2 2 2 1 1 4 1 2 3 6 12 1 1 5 1\\n\",\n \"20\\n4 6 6 4 5 4 3 2 5 7 2 2 4 1 11 1 1 4 1 7\\n\",\n \"20\\n2 10 3 3 2 1 14 13 4 15 1 4 5 12 12 11 9 1 5 8\\n\",\n \"30\\n1 3 2 5 9 4 16 14 2 2 4 11 7 17 1 15 13 5 6 12 6 19 8 1 20 5 18 3 2 3\\n\",\n \"20\\n1 1 1 2 3 1 4 9 8 8 1 6 7 3 1 2 2 1 3 4\\n\",\n \"30\\n2 8 2 3 7 4 2 9 4 3 5 6 1 5 3 10 8 1 9 6 6 7 2 7 1 1 1 10 2 1\\n\",\n \"10\\n6 1 3 1 4 3 1 2 2 1\\n\",\n \"10\\n2 2 4 3 1 4 5 3 10 7\\n\",\n \"1\\n4\\n\",\n \"20\\n1 7 2 3 1 1 8 1 6 1 9 16 9 10 1 4 3 3 1 2\\n\",\n \"20\\n2 7 3 8 4 6 3 7 12 4 15 5 1 12 1 10 2 11 8 9\\n\",\n \"2\\n1000 3\\n\",\n \"50\\n7 1 8 5 15 2 13 7 1 1 4 2 4 3 2 1 11 9 5 2 3 7 1 1 1 28 3 14 5 2 5 4 1 8 2 2 2 2 1 1 4 1 2 3 6 12 1 1 5 1\\n\",\n \"9\\n1 8 3 1 2 2 4 3 5\\n\",\n \"20\\n4 6 6 4 5 4 3 2 5 4 2 2 4 1 11 1 1 4 1 7\\n\",\n \"20\\n2 10 3 3 2 1 14 13 4 15 1 4 5 12 12 11 18 1 5 8\\n\",\n \"20\\n1 1 1 2 3 1 4 9 8 1 1 6 7 3 1 2 2 1 3 4\\n\",\n \"30\\n2 8 2 3 7 4 2 9 4 3 5 6 2 5 3 10 8 1 9 6 6 7 2 7 1 1 1 10 2 1\\n\",\n \"10\\n6 1 3 2 4 3 1 2 2 1\\n\",\n \"10\\n3 2 4 3 1 4 5 3 10 7\\n\",\n \"1\\n6\\n\",\n \"20\\n2 7 3 8 4 6 3 7 12 4 15 5 1 12 1 10 2 11 8 15\\n\",\n \"2\\n1000 4\\n\",\n \"50\\n7 1 8 5 15 2 13 5 1 1 4 2 4 3 2 1 11 9 5 2 3 7 1 1 1 28 3 14 5 2 5 4 1 8 2 2 2 2 1 1 4 1 2 3 6 12 1 1 5 1\\n\",\n \"9\\n1 2 3 1 2 2 4 3 5\\n\",\n \"20\\n2 10 3 3 2 1 14 13 4 15 1 1 5 12 12 11 18 1 5 8\\n\"\n ],\n \"output\": [\n \"3\\n1 1 1 2 2 3 1 3 1 \",\n \"1\\n1 1 1 1 \",\n \"-1\",\n \"-1\",\n \"2\\n1 2 1 2 1 \",\n \"20\\n1 1 1 2 1 1 3 4 1 1 1 1 2 5 6 7 1 1 1 1 8 1 2 9 2 2 1 10 2 3 3 4 11 2 5 3 12 1 4 3 6 1 5 13 2 3 7 1 1 1 6 1 3 8 2 9 14 2 3 4 1 15 16 4 1 2 5 6 7 3 5 10 4 3 4 6 4 17 8 9 5 5 3 7 8 10 4 4 2 18 11 5 11 19 5 9 20 1 12 7 \",\n \"-1\",\n \"25\\n1 1 1 2 1 1 2 3 1 2 1 1 1 3 2 4 1 2 4 3 2 2 5 6 7 8 3 2 3 9 10 3 5 11 12 1 2 4 6 4 13 5 1 3 14 4 6 5 3 6 7 1 15 8 7 9 3 1 16 4 1 2 3 4 5 1 2 4 6 17 5 6 18 19 10 20 7 7 5 1 7 8 8 21 3 22 9 8 5 10 9 6 1 2 23 24 10 11 25 12 \",\n \"2\\n1 1 2 \",\n \"1\\n1 \",\n \"3\\n1 1 1 2 2 3 1 3 1 \",\n \"-1\",\n \"2\\n1 2 1 2 1 2 \",\n \"3\\n1 1 1 2 2 1 1 1 3 1 2 1 1 1 1 1 1 3 1 1 \",\n \"3\\n1 1 1 1 1 1 1 1 2 3 2 1 1 1 2 1 1 2 1 1 2 1 1 3 1 2 1 3 1 3 \",\n \"6\\n1 2 3 1 1 4 1 1 2 1 1 1 1 2 5 2 3 6 3 2 \",\n \"-1\",\n \"4\\n1 1 1 2 1 2 3 2 3 4 \",\n \"5\\n1 1 1 2 3 4 1 5 1 2 \",\n \"-1\",\n \"41\\n1 2 1 3 4 5 6 7 8 1 9 10 2 1 11 12 13 14 1 2 15 16 17 18 19 3 20 21 22 23 24 25 3 26 27 4 28 29 30 31 32 33 34 35 36 37 38 39 40 41 \",\n \"-1\",\n \"-1\",\n \"-1\",\n \"7\\n1 1 1 1 2 3 1 4 1 5 1 1 1 1 6 1 2 2 7 3 \",\n \"12\\n1 1 1 1 1 1 2 1 3 1 1 2 1 1 1 2 1 2 4 1 1 1 1 2 1 2 2 1 1 1 2 3 1 2 2 2 5 3 1 3 4 1 3 5 2 2 1 3 6 1 3 4 6 1 2 4 1 1 5 6 3 4 7 3 8 3 9 7 4 5 2 4 10 2 2 4 4 4 5 6 7 2 3 1 3 5 8 1 1 1 9 7 5 11 5 6 8 10 2 12 \",\n \"2\\n1 1 1 1 1 1 2 2 2 2 1 1 1 1 2 1 2 1 2 1 \",\n \"8\\n1 1 1 1 2 1 2 1 3 2 3 1 2 4 5 2 1 6 3 2 7 4 1 2 2 3 8 4 3 5 \",\n \"3\\n1 1 2 1 1 2 1 1 1 3 \",\n \"10\\n1 1 1 1 2 1 1 1 1 1 2 1 1 3 2 3 2 1 1 4 2 1 2 1 1 2 5 3 2 3 2 2 4 3 2 2 4 1 1 5 4 4 1 5 3 3 4 5 5 6 2 1 6 3 6 5 2 3 7 1 4 3 6 6 6 4 3 3 5 2 1 7 8 3 4 4 4 5 4 5 7 9 5 7 6 6 4 7 5 6 7 3 10 7 2 8 5 7 4 1 \",\n \"12\\n1 1 2 1 2 1 1 3 2 3 4 4 3 5 4 1 5 6 2 6 7 8 1 9 3 1 10 1 11 12 \",\n \"5\\n1 2 3 4 5 \",\n \"-1\\n\",\n \"3\\n1 1 1 2 2 3 1 2 1\\n\",\n \"40\\n1 2 1 3 4 5 6 7 8 1 9 10 2 1 11 12 13 14 1 2 15 16 17 18 19 3 20 21 22 23 24 25 3 26 27 4 28 29 30 31 32 33 34 35 36 37 38 39 40 5\\n\",\n \"2\\n1 1 1 2 1 2 2 2 1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\"\n ]\n}"},"source":{"kind":"class label","value":"2","name":"CODEFORCES"}}},{"rowIdx":38277,"cells":{"id":{"kind":"string","value":"48_D. Permutations_38277"},"description":{"kind":"string","value":"A permutation is a sequence of integers from 1 to n of length n containing each number exactly once. For example, (1), (4, 3, 5, 1, 2), (3, 2, 1) are permutations, and (1, 1), (4, 3, 1), (2, 3, 4) are not. \n\nThere are many tasks on permutations. Today you are going to solve one of them. Let’s imagine that somebody took several permutations (perhaps, with a different number of elements), wrote them down consecutively as one array and then shuffled the resulting array. The task is to restore the initial permutations if it is possible.\n\nInput\n\nThe first line contains an integer n (1 ≤ n ≤ 105). The next line contains the mixed array of n integers, divided with a single space. The numbers in the array are from 1 to 105.\n\nOutput\n\nIf this array can be split into several permutations so that every element of the array belongs to exactly one permutation, print in the first line the number of permutations. The second line should contain n numbers, corresponding to the elements of the given array. If the i-th element belongs to the first permutation, the i-th number should be 1, if it belongs to the second one, then its number should be 2 and so on. The order of the permutations’ numbering is free.\n\nIf several solutions are possible, print any one of them. If there’s no solution, print in the first line - 1.\n\nExamples\n\nInput\n\n9\n1 2 3 1 2 1 4 2 5\n\n\nOutput\n\n3\n3 1 2 1 2 2 2 3 2\n\n\nInput\n\n4\n4 3 2 1\n\n\nOutput\n\n1\n1 1 1 1 \n\nInput\n\n4\n1 2 2 3\n\n\nOutput\n\n-1\n\nNote\n\nIn the first sample test the array is split into three permutations: (2, 1), (3, 2, 1, 4, 5), (1, 2). The first permutation is formed by the second and the fourth elements of the array, the second one — by the third, the fifth, the sixth, the seventh and the ninth elements, the third one — by the first and the eigth elements. Clearly, there are other splitting variants possible. "},"code":{"kind":"string","value":"import java.util.*;\npublic class D {\n\n\tpublic static void main(String[] args) {\n\t\tScanner sc = new Scanner(System.in);\n\t\tint n = sc.nextInt();\n\t\tint[] ns = new int[n];\n\t\tfor (int i=0; i=n) {System.out.println(\"-1\"); return;}\n\t\tint[] count = new int[n];\n\t\tfor (int x : ns) count[x]++;\n\t\tfor (int i=0; i> ls = new ArrayList>();\n\t\tfor (int i=0; i st = new Stack();\n\t\t\tls.add(st);\n\t\t}\n\t\tfor (int i=0; i 0) {\n\t\t\tfor (int i=0; i\nusing namespace std;\ntemplate \ninline void smin(P &a, Q b) {\n if (b < a) a = b;\n}\ntemplate \ninline void smax(P &a, Q b) {\n if (a < b) a = b;\n}\nconst long long inf = 1LL << 20;\nconst int maxn = 22 + 2;\nint n, m, males, females;\nint N;\nchar s[maxn][maxn];\nlong long dis[maxn * maxn][maxn * maxn];\nvector e;\nvector > p, q;\npair read() {\n int r, c, t;\n cin >> r >> c >> t;\n r--, c--;\n return {r * m + c, t};\n}\ntemplate \nstruct MaxFlow {\n static const int maxn = 10000;\n static const int maxm = 2000000;\n static const FlowT FlowEPS = FlowT(1e-7);\n static const FlowT FlowINF = FlowT(1 << 29);\n int n, m;\n int to[2 * maxm], prv[2 * maxm], hed[maxn];\n FlowT cap[2 * maxm];\n int dis[maxn], pos[maxn];\n void init(int _n) {\n n = _n, m = 0;\n memset(hed, -1, n * sizeof hed[0]);\n }\n inline void add_edge(int x, int y, FlowT c) {\n to[m] = y, cap[m] = c, prv[m] = hed[x], hed[x] = m++;\n to[m] = x, cap[m] = 0, prv[m] = hed[y], hed[y] = m++;\n }\n bool bfs(int source, int sink) {\n static int que[maxn], head, tail;\n memset(dis, -1, n * sizeof dis[0]);\n head = tail = 0;\n dis[source] = 0;\n que[tail++] = source;\n while (head < tail) {\n int u = que[head++];\n for (int e = hed[u]; e != -1; e = prv[e])\n if (cap[e] > FlowEPS && dis[to[e]] == -1)\n dis[to[e]] = dis[u] + 1, que[tail++] = to[e];\n if (dis[sink] != -1) break;\n }\n return dis[sink] != -1;\n }\n FlowT dfs(int u, int sink, FlowT add = FlowINF) {\n if (u == sink) return add;\n FlowT res = 0;\n for (int &e = pos[u]; e != -1; e = prv[e])\n if (cap[e] > FlowEPS && dis[to[e]] == dis[u] + 1) {\n FlowT cur = dfs(to[e], sink, min(add, cap[e]));\n cap[e] -= cur, cap[e ^ 1] += cur, add -= cur, res += cur;\n if (add <= FlowEPS / 2) break;\n }\n return res;\n }\n FlowT getflow(int source, int sink) {\n FlowT flow = 0;\n while (bfs(source, sink)) {\n memcpy(pos, hed, n * sizeof hed[0]);\n flow += dfs(source, sink);\n }\n return flow;\n }\n};\nMaxFlow g;\nint main() {\n ios_base::sync_with_stdio(false);\n cin.tie(0);\n cin >> n >> m >> males >> females;\n if (abs(males - females) != 1) {\n cout << -1 << endl;\n return 0;\n }\n int N = n * m;\n for (int i = 0, _n = (int)(n); i < _n; i++) cin >> s[i];\n for (int i = 0, _n = (int)(N); i < _n; i++)\n for (int j = 0, _n = (int)(N); j < _n; j++) dis[i][j] = inf;\n for (int i = 0, _n = (int)(N); i < _n; i++) dis[i][i] = 0;\n for (int i = 0, _n = (int)(n); i < _n; i++)\n for (int j = 0, _n = (int)(m); j < _n; j++)\n if (s[i][j] == '.')\n for (int ii = 0, _n = (int)(n); ii < _n; ii++)\n for (int jj = 0, _n = (int)(m); jj < _n; jj++)\n if (s[ii][jj] == '.')\n if (abs(i - ii) + abs(j - jj) == 1)\n dis[i * m + j][ii * m + jj] = 1;\n for (int k = 0, _n = (int)(N); k < _n; k++)\n if (s[k / m][k % m] == '.')\n for (int i = 0, _n = (int)(N); i < _n; i++)\n for (int j = 0, _n = (int)(N); j < _n; j++)\n smin(dis[i][j], dis[i][k] + dis[k][j]);\n (males < females ? p : q).push_back(read());\n for (int i = 0, _n = (int)(males); i < _n; i++) p.push_back(read());\n for (int i = 0, _n = (int)(females); i < _n; i++) q.push_back(read());\n smax(males, females);\n smax(females, males);\n long long lo = -1, hi = (1LL << 30) * maxn * maxn;\n int add = 2 * N;\n int tot = 2 + add + males + females;\n int src = tot - 2;\n int snk = tot - 1;\n while (hi - lo > 1) {\n long long md = (lo + hi) / 2;\n g.init(tot);\n for (int i = 0, _n = (int)(males); i < _n; i++) g.add_edge(src, add + i, 1);\n for (int i = 0, _n = (int)(females); i < _n; i++)\n g.add_edge(add + males + i, snk, 1);\n for (int i = 0, _n = (int)(N); i < _n; i++)\n if (s[i / m][i % m] == '.') {\n g.add_edge(2 * i + 0, 2 * i + 1, 1);\n for (int j = 0, _n = (int)(males); j < _n; j++)\n if (dis[p[j].first][i] != inf &&\n dis[p[j].first][i] * p[j].second <= md)\n g.add_edge(add + j, 2 * i + 0, 1);\n for (int j = 0, _n = (int)(females); j < _n; j++)\n if (dis[q[j].first][i] != inf &&\n dis[q[j].first][i] * q[j].second <= md)\n g.add_edge(2 * i + 1, add + males + j, 1);\n }\n if (g.getflow(src, snk) == males)\n hi = md;\n else\n lo = md;\n }\n cout << (hi < (1LL << 30) * maxn * maxn ? hi : -1) << endl;\n return 0;\n}\n"},"language":{"kind":"class label","value":"2","name":"C++"},"test_samples":{"kind":"string","value":"{\n \"input\": [\n \"4 4 2 3\\n....\\n.###\\n####\\n####\\n2 1 1\\n2 1 2\\n2 1 2\\n2 1 2\\n2 1 2\\n1 1 2\\n\",\n \"2 4 2 2\\n....\\n.###\\n2 1 1\\n2 1 2\\n2 1 2\\n2 1 2\\n2 1 2\\n\",\n \"3 8 11 12\\n.......#\\n.#......\\n....#...\\n1 2 10\\n2 3 6\\n2 4 2\\n1 6 1\\n1 5 6\\n1 1 5\\n3 3 1\\n2 4 4\\n1 6 5\\n2 3 6\\n3 4 5\\n3 1 4\\n1 3 5\\n1 3 2\\n1 2 3\\n3 2 9\\n1 2 6\\n3 2 9\\n1 1 1\\n1 6 6\\n3 3 7\\n3 8 2\\n3 7 7\\n3 2 7\\n\",\n \"1 4 2 3\\n..#.\\n1 1 1\\n1 1 1\\n1 1 1\\n1 1 1\\n1 1 1\\n1 1 1\\n\",\n \"1 1 0 1\\n.\\n1 1 1\\n1 1 1\\n\",\n \"1 1 0 0\\n.\\n1 1 1\\n\",\n \"2 2 2 2\\n#.\\n#.\\n1 2 1\\n1 2 1\\n1 2 1\\n1 2 1\\n1 2 1\\n\",\n \"11 3 27 26\\n#..\\n...\\n...\\n..#\\n...\\n#..\\n...\\n...\\n#.#\\n...\\n..#\\n6 3 52\\n2 1 67\\n6 3 39\\n3 1 72\\n1 2 48\\n7 2 19\\n5 1 88\\n7 3 14\\n6 3 92\\n10 2 28\\n4 1 39\\n4 2 89\\n7 2 24\\n2 3 30\\n3 3 14\\n5 2 58\\n2 1 62\\n9 2 84\\n7 3 71\\n2 2 43\\n3 2 60\\n8 3 85\\n5 1 66\\n10 3 25\\n2 1 77\\n5 1 59\\n6 3 55\\n1 3 82\\n7 1 92\\n3 1 51\\n10 2 99\\n5 2 98\\n1 2 94\\n5 2 67\\n7 3 68\\n8 2 98\\n4 2 52\\n4 1 5\\n10 3 10\\n7 1 75\\n1 3 75\\n6 3 29\\n1 3 22\\n2 1 80\\n10 3 45\\n10 1 97\\n3 3 16\\n10 3 28\\n2 1 54\\n5 1 52\\n2 1 93\\n1 2 6\\n5 3 31\\n4 1 51\\n\",\n \"1 1 1 1\\n.\\n1 1 1\\n1 1 1\\n1 1 1\\n\",\n \"2 4 3 2\\n..##\\n.#..\\n1 1 1\\n1 1 1\\n1 1 6\\n1 1 2\\n1 1 1\\n1 1 1\\n\",\n \"3 7 2 1\\n.......\\n##.###.\\n.#.#...\\n1 2 18\\n1 1 5\\n1 5 4\\n1 1 3\\n\",\n \"10 4 8 7\\n....\\n....\\n.#..\\n..#.\\n....\\n..#.\\n....\\n....\\n#...\\n.#..\\n10 4 6490061\\n10 1 2368373\\n6 1 4838037\\n2 3 5242359\\n6 1 7207294\\n8 1 1523877\\n1 3 3021571\\n9 2 7078661\\n2 4 4676928\\n2 4 4340654\\n3 3 3197429\\n1 4 5961413\\n2 1 8385413\\n3 3 8111099\\n5 1 3374292\\n3 4 5877110\\n\",\n \"3 8 7 6\\n#...#..#\\n.#..#...\\n##......\\n1 2 1\\n1 2 6\\n1 2 1\\n1 2 6\\n1 2 5\\n1 2 4\\n1 2 2\\n1 2 6\\n1 2 1\\n1 2 1\\n1 2 1\\n1 2 1\\n1 2 1\\n1 2 1\\n\",\n \"3 5 2 3\\n.....\\n.#..#\\n..#..\\n3 2 9\\n1 1 4\\n1 1 5\\n1 1 3\\n1 1 8\\n1 1 1\\n\",\n \"8 2 7 6\\n..\\n..\\n..\\n..\\n##\\n..\\n..\\n..\\n8 1 1\\n2 1 29\\n2 1 17\\n6 1 23\\n3 2 31\\n8 1 11\\n1 1 35\\n6 1 6\\n6 2 19\\n2 1 35\\n3 1 8\\n6 2 22\\n2 2 10\\n7 2 4\\n\",\n \"2 4 0 1\\n..#.\\n#...\\n1 1 1\\n1 1 1\\n\",\n \"11 3 6 7\\n#..\\n..#\\n...\\n.#.\\n.#.\\n...\\n.#.\\n...\\n#..\\n...\\n...\\n2 2 28804\\n6 1 64238\\n5 1 30616\\n1 3 71599\\n11 3 95320\\n10 1 62618\\n7 3 57203\\n10 2 17784\\n9 3 66137\\n8 1 14209\\n4 1 36353\\n10 2 83190\\n1 2 74281\\n7 3 99012\\n\",\n \"1 7 0 1\\n.#...#.\\n1 7 2\\n1 5 38\\n\",\n \"11 3 7 6\\n.#.\\n.#.\\n#.#\\n..#\\n..#\\n.##\\n...\\n#..\\n#..\\n#..\\n..#\\n7 2 39\\n11 1 36\\n3 2 46\\n10 3 32\\n2 3 9\\n9 2 25\\n8 2 6\\n9 3 42\\n5 1 8\\n6 1 46\\n8 3 30\\n11 2 9\\n9 3 15\\n7 3 10\\n\",\n \"9 1 1 2\\n#\\n.\\n#\\n.\\n#\\n.\\n#\\n#\\n#\\n2 1 1\\n2 1 1\\n2 1 1\\n2 1 1\\n\",\n \"4 5 6 5\\n###.#\\n..#.#\\n##.##\\n.#.#.\\n1 4 1\\n1 4 1\\n1 4 1\\n1 4 1\\n1 4 1\\n1 4 1\\n1 4 1\\n1 4 1\\n1 4 1\\n1 4 1\\n1 4 1\\n1 4 1\\n\",\n \"1 5 3 4\\n....#\\n1 1 25580419\\n1 1 39486821\\n1 3 66774093\\n1 2 20222751\\n1 4 32289521\\n1 1 59196438\\n1 1 89276611\\n1 3 13003016\\n\",\n \"11 3 5 4\\n#..\\n...\\n...\\n.#.\\n...\\n...\\n.#.\\n#..\\n#.#\\n...\\n#..\\n2 1 109\\n2 1 968\\n2 3 437\\n5 1 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Scaygerboss_38279"},"description":{"kind":"string","value":"Cthulhu decided to catch Scaygerboss. Scaygerboss found it out and is trying to hide in a pack of his scaygers. Each scayger except Scaygerboss is either a male or a female. Scaygerboss's gender is \"other\".\n\nScaygers are scattered on a two-dimensional map divided into cells. A scayger looks nerdy and loveable if it is staying in the same cell with exactly one scayger of a gender that is different from its own gender. Cthulhu will not be able to catch Scaygerboss if all the scaygers on the map look nerdy and loveable.\n\nThe scaygers can move around at different speeds. For each scayger, we are given the time it takes this scayger to move from a cell to an adjacent cell. Cells are adjacent if they share a common side. At any point of time, each cell that does not contain an obstacle can be occupied by an arbitrary number of scaygers. Scaygers cannot move to cells with obstacles.\n\nCalculate minimal time in order to make all scaygers look nerdy and loveable if they move optimally toward this goal.\n\nInput\n\nThe first line contains 4 integers: n, m, males, females (0 ≤ males, females ≤ n·m). n and m are dimensions of the map; males and females are numbers of male scaygers and female scaygers.\n\nNext n lines describe the map. Each of these lines contains m characters. Character '.' stands for a free cell; character '#' stands for a cell with an obstacle.\n\nThe next line contains 3 integers r, c, and t (1 ≤ r ≤ n, 1 ≤ c ≤ m, 1 ≤ t ≤ 109): the current coordinates of Scaygerboss and the time it takes Scaygerboss to move to an adjacent cell. The next males lines contain coordinates and times of male scaygers in the same format as for Scaygerboss. The next females lines contain coordinates and times of female scaygers in the same format as for Scaygerboss. (The coordinates and times adhere to the same limits as for Scaygerboss.) All scaygers reside in cells without obstacles.\n\nThe problem consists of two subproblems. The subproblems have different constraints on the input. You will get some score for the correct submission of the subproblem. The description of the subproblems follows.\n\n * In subproblem F1 (14 points), the constraints 1 ≤ n, m ≤ 11 will hold. \n * In subproblem F2 (6 points), the constraints 1 ≤ n, m ≤ 22 will hold. \n\nOutput\n\nOutput the minimum possible time it takes to make all scaygers look nerdy and loveable or -1 if it is impossible.\n\nExamples\n\nInput\n\n4 4 2 3\n....\n.###\n####\n####\n2 1 1\n2 1 2\n2 1 2\n2 1 2\n2 1 2\n1 1 2\n\n\nOutput\n\n2\n\n\nInput\n\n2 4 2 2\n....\n.###\n2 1 1\n2 1 2\n2 1 2\n2 1 2\n2 1 2\n\n\nOutput\n\n-1\n\nNote\n\nConsider the first sample test. The scaygers are hiding on a 4 by 4 map. Scaygerboss initially resides in the cell (2, 1) and can move between cells in 1 unit of time. There are also 2 male and 3 female scaygers on the map. One of the females initially is in the cell (1, 1), and all the other scaygers are in the cell (2, 1). All the scaygers move between cells in 2 units of time. If Scaygerboss and the female scayger from the cell (1, 1) move to the cell (1, 2), and a male and a female scayger from those residing in the cell (2, 1) move to the cell (1, 1), then all the scaygers will look nerdy and lovable in 2 units of time."},"code":{"kind":"string","value":"import java.io.*;\nimport java.util.*;\n\npublic class CFF {\n\tFastScanner in;\n\tPrintWriter out;\n\n\tclass Edge {\n\t\tint fr, to;\n\t\tlong flow, cap;\n\t\tEdge rev;\n\n\t\tEdge(int fr, int to, long cap) {\n\t\t\tthis.fr = fr;\n\t\t\tthis.to = to;\n\t\t\tthis.cap = cap;\n\t\t}\n\t}\n\n\tclass Flow {\n\t\tint n;\n\t\tint[] q;\n\t\tboolean[] was;\n\t\tint[] dist;\n\t\tint[] cntOnLayer;\n\t\tint[] prev;\n\t\tEdge[] prevEdge;\n\t\tint[] curEdge;\n\t\tboolean canReachSink = true;\n\n\t\tArrayList[] g;\n\n\t\tFlow(int n) {\n\t\t\tthis.n = n;\n\t\t\tg = new ArrayList[n];\n\t\t\tfor (int i = 0; i < n; i++) {\n\t\t\t\tg[i] = new ArrayList<>();\n\t\t\t}\n\t\t\tq = new int[n];\n\t\t\twas = new boolean[n];\n\t\t\tdist = new int[n];\n\t\t\tcntOnLayer = new int[n + 1];\n\t\t\tprev = new int[n];\n\t\t\tcurEdge = new int[n];\n\t\t\tprevEdge = new Edge[n];\n\t\t}\n\n\t\tEdge addEdge(int fr, int to, long cap) {\n\t\t\tEdge e1 = new Edge(fr, to, cap);\n\t\t\tEdge e2 = new Edge(to, fr, 0);\n\t\t\te1.rev = e2;\n\t\t\te2.rev = e1;\n\t\t\tg[fr].add(e1);\n\t\t\tg[to].add(e2);\n\t\t\treturn e1;\n\t\t}\n\n\t\tboolean bfs() {\n\t\t\tArrays.fill(was, false);\n\t\t\tArrays.fill(dist, n);\n\t\t\tArrays.fill(cntOnLayer, 0);\n\t\t\tcntOnLayer[n] = n;\n\t\t\tdist[n - 1] = 0;\n\t\t\twas[n - 1] = true;\n\t\t\tcntOnLayer[0]++;\n\t\t\tcntOnLayer[n]--;\n\t\t\tint qIt = 0, qSz = 0;\n\t\t\tq[qSz++] = n - 1;\n\t\t\twhile (qIt < qSz) {\n\t\t\t\tint v = q[qIt++];\n\t\t\t\tfor (Edge e : g[v]) {\n\t\t\t\t\tif (was[e.to] || e.rev.flow == e.rev.cap) {\n\t\t\t\t\t\tcontinue;\n\t\t\t\t\t}\n\t\t\t\t\twas[e.to] = true;\n\t\t\t\t\tq[qSz] = e.to;\n\t\t\t\t\tcntOnLayer[dist[e.to]]--;\n\t\t\t\t\tdist[e.to] = dist[v] + 1;\n\t\t\t\t\tcntOnLayer[dist[e.to]]++;\n\t\t\t\t\tqSz++;\n\t\t\t\t}\n\t\t\t}\n\t\t\treturn dist[0] != n;\n\t\t}\n\n\t\tlong augment() {\n\t\t\tlong flow = Long.MAX_VALUE;\n\t\t\tfor (int i = n - 1; i != 0; i = prev[i]) {\n\t\t\t\tflow = Math.min(flow, prevEdge[i].cap - prevEdge[i].flow);\n\t\t\t}\n\t\t\tfor (int i = n - 1; i != 0; i = prev[i]) {\n\t\t\t\tprevEdge[i].flow += flow;\n\t\t\t\tprevEdge[i].rev.flow -= flow;\n\t\t\t}\n\t\t\treturn flow;\n\t\t}\n\n\t\tint retreat(int v) {\n\t\t\tint newDist = n - 1;\n\t\t\tfor (Edge e : g[v]) {\n\t\t\t\tif (e.flow < e.cap && dist[e.to] < newDist) {\n\t\t\t\t\tnewDist = dist[e.to];\n\t\t\t\t}\n\t\t\t}\n\t\t\tcntOnLayer[dist[v]]--;\n\t\t\tif (cntOnLayer[dist[v]] == 0) {\n\t\t\t\tif (newDist + 1 > dist[v]) {\n\t\t\t\t\tcanReachSink = false;\n\t\t\t\t}\n\t\t\t}\n\t\t\tdist[v] = 1 + newDist;\n\t\t\tcntOnLayer[dist[v]]++;\n\t\t\tif (v != 0) {\n\t\t\t\tv = prev[v];\n\t\t\t}\n\t\t\treturn v;\n\t\t}\n\n\t\tvoid clear() {\n\t\t\tfor (int v = 0; v < n; v++) {\n\t\t\t\tfor (Edge e : g[v]) {\n\t\t\t\t\te.flow = 0;\n\t\t\t\t}\n\t\t\t}\n\t\t}\n\n\t\tlong flow() {\n\t\t\tlong res = 0;\n\t\t\tcanReachSink = true;\n\t\t\tArrays.fill(prev, 0);\n\t\t\tArrays.fill(curEdge, 0);\n\t\t\tclear();\n\t\t\tif (!bfs()) {\n\t\t\t\treturn 0;\n\t\t\t}\n\t\t\tint v = 0;\n\t\t\twhile (dist[0] < n) {\n\t\t\t\tfor (; curEdge[v] < g[v].size(); curEdge[v]++) {\n\t\t\t\t\tEdge e = g[v].get(curEdge[v]);\n\t\t\t\t\tif (e.flow < e.cap && dist[v] == dist[e.to] + 1)\n\t\t\t\t\t\tbreak;\n\t\t\t\t}\n\t\t\t\tif (curEdge[v] != g[v].size()) {\n\t\t\t\t\tEdge e = g[v].get(curEdge[v]);\n\t\t\t\t\tprev[e.to] = v;\n\t\t\t\t\tprevEdge[e.to] = e;\n\t\t\t\t\tv = e.to;\n\t\t\t\t\tif (v == n - 1) {\n\t\t\t\t\t\tres += augment();\n\t\t\t\t\t\tv = 0;\n\t\t\t\t\t}\n\t\t\t\t} else {\n\t\t\t\t\tcurEdge[v] = 0;\n\t\t\t\t\tv = retreat(v);\n\t\t\t\t\tif (!canReachSink) {\n\t\t\t\t\t\tbreak;\n\t\t\t\t\t}\n\t\t\t\t}\n\t\t\t}\n\t\t\treturn res;\n\t\t}\n\t}\n\n\tvoid solve() {\n\t\tint n = in.nextInt();\n\t\tint m = in.nextInt();\n\t\tint males = in.nextInt();\n\t\tint females = in.nextInt();\n\t\tboolean meMale = males < females;\n\t\tint[] dx = new int[] { -1, 0, 0, 1 };\n\t\tint[] dy = new int[] { 0, -1, 1, 0 };\n\t\tif (males + (meMale ? 1 : -1) == females) {\n\t\t\tchar[][] a = new char[n][];\n\t\t\tfor (int i = 0; i < n; i++) {\n\t\t\t\ta[i] = in.next().toCharArray();\n\t\t\t}\n\t\t\tint[][] id = new int[n][m];\n\t\t\tint cnt = 0;\n\t\t\tfor (int i = 0; i < n; i++) {\n\t\t\t\tfor (int j = 0; j < m; j++) {\n\t\t\t\t\tif (a[i][j] == '.') {\n\t\t\t\t\t\tid[i][j] = cnt++;\n\t\t\t\t\t} else {\n\t\t\t\t\t\tid[i][j] = -1;\n\t\t\t\t\t}\n\t\t\t\t}\n\t\t\t}\n\t\t\tint[] xPos = new int[cnt];\n\t\t\tint[] yPos = new int[cnt];\n\t\t\tfor (int i = 0; i < n; i++)\n\t\t\t\tfor (int j = 0; j < m; j++)\n\t\t\t\t\tif (id[i][j] != -1) {\n\t\t\t\t\t\txPos[id[i][j]] = i;\n\t\t\t\t\t\tyPos[id[i][j]] = j;\n\t\t\t\t\t}\n\t\t\tint[][] time = new int[cnt][cnt];\n\t\t\tint[] q = new int[cnt];\n\t\t\tfor (int i = 0; i < cnt; i++) {\n\t\t\t\tArrays.fill(time[i], -1);\n\t\t\t\ttime[i][i] = 0;\n\t\t\t\tq[0] = i;\n\t\t\t\tint qIt = 0, qSz = 1;\n\t\t\t\twhile (qIt < qSz) {\n\t\t\t\t\tint cid = q[qIt++];\n\t\t\t\t\tint x = xPos[cid], y = yPos[cid];\n\t\t\t\t\tfor (int ii = 0; ii < dx.length; ii++) {\n\t\t\t\t\t\tint nx = x + dx[ii];\n\t\t\t\t\t\tint ny = y + dy[ii];\n\t\t\t\t\t\tif (nx >= 0 && nx < n && ny >= 0 && ny < m) {\n\t\t\t\t\t\t\tint rId = id[nx][ny];\n\t\t\t\t\t\t\tif (rId != -1 && time[i][rId] == -1) {\n\t\t\t\t\t\t\t\ttime[i][rId] = time[i][cid] + 1;\n\t\t\t\t\t\t\t\tq[qSz++] = rId;\n\t\t\t\t\t\t\t}\n\t\t\t\t\t\t}\n\t\t\t\t\t}\n\t\t\t\t}\n\t\t\t}\n\t\t\tint[] startX = new int[males + females + 1];\n\t\t\tint[] startY = new int[males + females + 1];\n\t\t\tint[] timeNeed = new int[males + females + 1];\n\t\t\tfor (int i = 0; i < startX.length; i++) {\n\t\t\t\tstartX[i] = in.nextInt() - 1;\n\t\t\t\tstartY[i] = in.nextInt() - 1;\n\t\t\t\ttimeNeed[i] = in.nextInt();\n\t\t\t}\n\t\t\tint total = males + females + 1;\n\t\t\tboolean[] isMale = new boolean[total];\n\t\t\tfor (int i = 0; i < males; i++) {\n\t\t\t\tisMale[i + 1] = true;\n\t\t\t}\n\t\t\tisMale[0] = meMale;\n\t\t\tfor (int i = 0; i < females; i++) {\n\t\t\t\tisMale[i + 1 + males] = false;\n\t\t\t}\n\t\t\tFlow f = new Flow(2 + cnt + cnt + total);\n\t\t\tfor (int i = 0; i < cnt; i++) {\n\t\t\t\tf.addEdge(1 + total + i, 1 + total + cnt + i, 1);\n\t\t\t}\n\t\t\tEdge[][] edges = new Edge[total][cnt];\n\n\t\t\tArrayList interesingVals = new ArrayList<>();\n\t\t\tinteresingVals.add(0L);\n\t\t\tfor (int i = 0; i < total; i++) {\n\t\t\t\tif (isMale[i]) {\n\t\t\t\t\tf.addEdge(0, i + 1, 1);\n\t\t\t\t\tfor (int j = 0; j < cnt; j++) {\n\t\t\t\t\t\tint tt = time[id[startX[i]][startY[i]]][j];\n\t\t\t\t\t\tif (tt != -1 && tt * 1L * timeNeed[i] <= Long.MAX_VALUE) {\n\t\t\t\t\t\t\tinteresingVals.add(tt * 1L * timeNeed[i]);\n\t\t\t\t\t\t\tedges[i][j] = f.addEdge(i + 1, total + 1 + j, 1);\n\t\t\t\t\t\t}\n\t\t\t\t\t}\n\t\t\t\t} else {\n\t\t\t\t\tf.addEdge(i + 1, f.n - 1, 1);\n\t\t\t\t\tfor (int j = 0; j < cnt; j++) {\n\t\t\t\t\t\tint tt = time[id[startX[i]][startY[i]]][j];\n\t\t\t\t\t\tif (tt != -1 && tt * 1L * timeNeed[i] <= Long.MAX_VALUE) {\n\t\t\t\t\t\t\tinteresingVals.add(tt * 1L * timeNeed[i]);\n\t\t\t\t\t\t\tedges[i][j] = f.addEdge(cnt + total + 1 + j, 1 + i,\n\t\t\t\t\t\t\t\t\t1);\n\t\t\t\t\t\t}\n\t\t\t\t\t}\n\t\t\t\t}\n\t\t\t}\n\t\t\tCollections.sort(interesingVals);\n\t\t\tint left = -1, right = interesingVals.size();\n\t\t\twhile (right - left > 1) {\n\t\t\t\tint mm = (left + right) / 2;\n\t\t\t\tlong mid = interesingVals.get(mm);\n\t\t\t\tfor (int i = 0; i < total; i++) {\n\t\t\t\t\tif (isMale[i]) {\n\t\t\t\t\t\tfor (int j = 0; j < cnt; j++) {\n\t\t\t\t\t\t\tint tt = time[id[startX[i]][startY[i]]][j];\n\t\t\t\t\t\t\tif (tt != -1) {\n\t\t\t\t\t\t\t\tif (tt * 1L * timeNeed[i] <= mid) {\n\t\t\t\t\t\t\t\t\tedges[i][j].cap = 1;\n\t\t\t\t\t\t\t\t} else {\n\t\t\t\t\t\t\t\t\tedges[i][j].cap = 0;\n\t\t\t\t\t\t\t\t}\n\t\t\t\t\t\t\t}\n\t\t\t\t\t\t}\n\t\t\t\t\t} else {\n\t\t\t\t\t\tfor (int j = 0; j < cnt; j++) {\n\t\t\t\t\t\t\tint tt = time[id[startX[i]][startY[i]]][j];\n\t\t\t\t\t\t\tif (tt != -1) {\n\t\t\t\t\t\t\t\tif (tt * 1L * timeNeed[i] <= mid) {\n\t\t\t\t\t\t\t\t\tedges[i][j].cap = 1;\n\t\t\t\t\t\t\t\t} else {\n\t\t\t\t\t\t\t\t\tedges[i][j].cap = 0;\n\t\t\t\t\t\t\t\t}\n\t\t\t\t\t\t\t}\n\t\t\t\t\t\t}\n\t\t\t\t\t}\n\t\t\t\t}\n\t\t\t\tint needFlow = males;\n\t\t\t\tif (meMale) {\n\t\t\t\t\tneedFlow++;\n\t\t\t\t}\n\t\t\t\tif (f.flow() == needFlow) {\n\t\t\t\t\tright = mm;\n\t\t\t\t} else {\n\t\t\t\t\tleft = mm;\n\t\t\t\t}\n\t\t\t}\n\t\t\tif (right == interesingVals.size()) {\n\t\t\t\tout.println(-1);\n\t\t\t} else {\n\t\t\t\tout.println(interesingVals.get(right));\n\t\t\t}\n\t\t} else {\n\t\t\tout.println(-1);\n\t\t}\n\t}\n\n\tvoid runIO() {\n\n\t\tin = new FastScanner(System.in);\n\t\tout = new PrintWriter(System.out);\n\n\t\tsolve();\n\n\t\tout.close();\n\t}\n\n\tvoid run() {\n\t\ttry {\n\t\t\tin = new FastScanner(new File(\"test.in\"));\n\t\t\tout = new PrintWriter(new File(\"test.out\"));\n\n\t\t\tsolve();\n\n\t\t\tout.close();\n\t\t} catch (FileNotFoundException e) {\n\t\t\te.printStackTrace();\n\t\t}\n\t}\n\n\tclass FastScanner {\n\t\tBufferedReader br;\n\t\tStringTokenizer st;\n\n\t\tpublic FastScanner(File f) {\n\t\t\ttry {\n\t\t\t\tbr = new BufferedReader(new FileReader(f));\n\t\t\t} catch (FileNotFoundException e) {\n\t\t\t\te.printStackTrace();\n\t\t\t}\n\t\t}\n\n\t\tpublic FastScanner(InputStream f) {\n\t\t\tbr = new BufferedReader(new InputStreamReader(f));\n\t\t}\n\n\t\tString next() {\n\t\t\twhile (st == null || !st.hasMoreTokens()) {\n\t\t\t\tString s = null;\n\t\t\t\ttry {\n\t\t\t\t\ts = br.readLine();\n\t\t\t\t} catch (IOException e) {\n\t\t\t\t\te.printStackTrace();\n\t\t\t\t}\n\t\t\t\tif (s == null)\n\t\t\t\t\treturn null;\n\t\t\t\tst = new StringTokenizer(s);\n\t\t\t}\n\t\t\treturn st.nextToken();\n\t\t}\n\n\t\tboolean hasMoreTokens() {\n\t\t\twhile (st == null || !st.hasMoreTokens()) {\n\t\t\t\tString s = null;\n\t\t\t\ttry {\n\t\t\t\t\ts = br.readLine();\n\t\t\t\t} catch (IOException e) {\n\t\t\t\t\te.printStackTrace();\n\t\t\t\t}\n\t\t\t\tif (s == null)\n\t\t\t\t\treturn false;\n\t\t\t\tst = new StringTokenizer(s);\n\t\t\t}\n\t\t\treturn true;\n\t\t}\n\n\t\tint nextInt() {\n\t\t\treturn Integer.parseInt(next());\n\t\t}\n\n\t\tlong nextLong() {\n\t\t\treturn Long.parseLong(next());\n\t\t}\n\n\t\tdouble nextDouble() {\n\t\t\treturn Double.parseDouble(next());\n\t\t}\n\t}\n\n\tpublic static void main(String[] args) {\n\t\tnew CFF().runIO();\n\t}\n}"},"language":{"kind":"class label","value":"4","name":"JAVA"},"test_samples":{"kind":"string","value":"{\n \"input\": [\n \"4 4 2 3\\n....\\n.###\\n####\\n####\\n2 1 1\\n2 1 2\\n2 1 2\\n2 1 2\\n2 1 2\\n1 1 2\\n\",\n \"2 4 2 2\\n....\\n.###\\n2 1 1\\n2 1 2\\n2 1 2\\n2 1 2\\n2 1 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1 0\\n\",\n \"2 4 3 2\\n..##\\n.#..\\n1 1 1\\n1 1 1\\n1 1 6\\n1 1 2\\n1 2 1\\n1 1 1\\n\",\n \"10 4 8 7\\n....\\n....\\n.#..\\n..#.\\n....\\n..#.\\n....\\n....\\n#...\\n.#..\\n10 4 6490061\\n10 1 2368373\\n6 1 4838037\\n2 3 5242359\\n6 1 7207294\\n8 1 1523877\\n1 3 3021571\\n9 2 7078661\\n2 4 4676928\\n2 4 4340654\\n3 3 3197429\\n1 4 5961413\\n2 1 8385413\\n3 3 8111099\\n5 1 1992731\\n3 4 5877110\\n\",\n \"1 7 0 1\\n.#...#.\\n1 7 2\\n1 5 69\\n\",\n \"4 5 6 5\\n###.#\\n..#.#\\n##.##\\n.#.#.\\n2 4 1\\n1 4 1\\n1 4 1\\n1 4 1\\n1 4 1\\n1 4 1\\n1 4 1\\n1 4 1\\n1 4 1\\n1 4 1\\n1 4 1\\n1 4 1\\n\"\n ],\n \"output\": [\n \"2\\n\",\n \"-1\\n\",\n \"9\\n\",\n \"-1\\n\",\n \"0\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"118\\n\",\n \"-1\\n\",\n \"2\\n\",\n \"8\\n\",\n \"-1\\n\",\n \"12\\n\",\n \"4\\n\",\n \"-1\\n\",\n \"0\\n\",\n \"95320\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"59196438\\n\",\n \"1192\\n\",\n \"-1\\n\",\n \"0\\n\",\n \"80459645\\n\",\n \"894\\n\",\n \"-1\\n\",\n \"9\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"5\\n\",\n \"21\\n\",\n \"-1\\n\",\n \"586747251\\n\",\n \"771463333\\n\",\n \"96\\n\",\n \"787199\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"4\\n\",\n \"59196438\\n\",\n \"80459645\\n\",\n \"1036\\n\",\n \"586747251\\n\",\n \"771463333\\n\",\n \"73\\n\",\n \"2\\n\",\n \"9\\n\",\n \"0\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"80459645\\n\",\n \"771463333\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"80459645\\n\",\n \"771463333\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"2\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\"\n ]\n}"},"source":{"kind":"class label","value":"2","name":"CODEFORCES"}}},{"rowIdx":38280,"cells":{"id":{"kind":"string","value":"53_B. Blog Photo_38280"},"description":{"kind":"string","value":"One popular blog site edits the uploaded photos like this. It cuts a rectangular area out of them so that the ratio of height to width (i.e. the height / width quotient) can vary from 0.8 to 1.25 inclusively. Besides, at least one side of the cut area should have a size, equal to some power of number 2 (2x for some integer x). If those rules don't indicate the size of the cut are clearly, then the way with which the cut part possesses the largest area is chosen. Of course, both sides of the cut area should be integer. If there are several answers to this problem, you should choose the answer with the maximal height.\n\nInput\n\nThe first line contains a pair of integers h and w (1 ≤ h, w ≤ 109) which are the height and width of the uploaded photo in pixels.\n\nOutput\n\nPrint two integers which are the height and width of the cut area.\n\nExamples\n\nInput\n\n2 1\n\n\nOutput\n\n1 1\n\n\nInput\n\n2 2\n\n\nOutput\n\n2 2\n\n\nInput\n\n5 5\n\n\nOutput\n\n5 4"},"code":{"kind":"string","value":"from math import ceil, floor, log\n\ndef solve(h, w):\n s1 = _solve(h, w)\n s2 = _solve(w, h)\n s2 = s2[1], s2[0]\n area = lambda s: s[0] * s[1]\n if area(s1) == area(s2):\n best = sorted([s1,s2], key=lambda x: x[0])[-1]\n else:\n best = sorted([s1,s2], key=area)[-1]\n\n return best\n \ndef _solve(h, w):\n h = 2 ** int(log(h, 2))\n wmin = int(ceil(h / 1.25))\n wmax = int(floor(h / 0.8))\n if w < wmin:\n return solve(h-1, w)\n else:\n return (h, min(w, wmax))\n\nif __name__ == '__main__':\n h, w = map(int, raw_input().split())\n s = solve(h, w)\n print s[0], s[1]\n"},"language":{"kind":"class label","value":"1","name":"Python2"},"test_samples":{"kind":"string","value":"{\n \"input\": [\n \"2 1\\n\",\n \"2 2\\n\",\n \"5 5\\n\",\n \"15 13\\n\",\n \"9 10\\n\",\n \"47 46\\n\",\n \"49829224 49889315\\n\",\n \"483242 484564\\n\",\n \"644590722 593296648\\n\",\n \"971840165 826141527\\n\",\n \"49728622 49605627\\n\",\n \"99692141 99232337\\n\",\n \"48298903 49928606\\n\",\n \"792322809 775058858\\n\",\n \"998557701 924591072\\n\",\n \"939 887\\n\",\n \"9909199 9945873\\n\",\n \"39271 49032\\n\",\n \"1000000000 1000000000\\n\",\n \"49934587 49239195\\n\",\n \"4774 4806\\n\",\n \"944976601 976175854\\n\",\n \"4939191 4587461\\n\",\n \"99 100\\n\",\n \"48945079 49798393\\n\",\n \"49874820 49474021\\n\",\n \"47 56\\n\",\n \"39271 49011\\n\",\n \"1010000000 1000000000\\n\",\n \"101 100\\n\",\n \"6 5\\n\",\n \"8 10\\n\",\n \"40344417 49605627\\n\",\n \"9909199 9735441\\n\",\n \"51927138 49798393\\n\",\n \"1 1\\n\",\n \"13 13\\n\",\n \"4939191 4455370\\n\",\n \"47 54\\n\",\n \"100 100\\n\",\n \"110 100\\n\",\n \"110 110\\n\",\n \"100 110\\n\",\n \"47 45\\n\",\n \"1010000000 1000000010\\n\",\n \"1010000000 1000000001\\n\",\n \"101 110\\n\",\n \"111 100\\n\",\n \"111 110\\n\",\n \"101 111\\n\",\n \"1011000000 1000000010\\n\",\n \"100 111\\n\",\n \"100 101\\n\",\n \"101 101\\n\",\n \"49829224 60056281\\n\",\n \"1000000010 1000000000\\n\",\n \"57455132 49239195\\n\",\n \"47 48\\n\",\n \"47 57\\n\",\n \"1010000000 1001000010\\n\",\n \"1010000001 1000000001\\n\",\n \"111 101\\n\",\n \"111 111\\n\",\n \"1011000000 1000001010\\n\",\n \"1000000010 1010000000\\n\",\n \"57455132 54832111\\n\",\n \"1010000001 1000001001\\n\",\n \"1011000000 1010001010\\n\",\n \"1000000000 1010000000\\n\",\n \"57455132 61793242\\n\",\n \"1010000001 1000001000\\n\",\n \"1011000000 1010001000\\n\",\n \"1000000001 1010000000\\n\",\n \"52750015 61793242\\n\",\n \"1010000001 1000000000\\n\",\n \"1011000000 1011001000\\n\",\n \"1010000001 1010000000\\n\",\n \"1010000101 1000000000\\n\",\n \"1010000001 1010100000\\n\"\n ],\n \"output\": [\n \"1 1\",\n \"2 2\",\n \"5 4\",\n \"10 8\",\n \"8 10\",\n \"40 32\",\n \"41943040 33554432\",\n \"327680 262144\",\n \"644590722 536870912\",\n \"671088640 536870912\",\n \"41943040 33554432\",\n \"83886080 67108864\",\n \"41943040 33554432\",\n \"671088640 536870912\",\n \"671088640 536870912\",\n \"640 512\",\n \"8388608 9945873\",\n \"32768 40960\",\n \"671088640 536870912\",\n \"41943040 33554432\",\n \"4096 4806\",\n \"671088640 536870912\",\n \"4939191 4194304\",\n \"80 64\",\n \"41943040 33554432\",\n \"41943040 33554432\",\n \"40 32\\n\",\n \"32768 40960\\n\",\n \"671088640 536870912\\n\",\n \"80 64\\n\",\n \"5 4\\n\",\n \"8 10\\n\",\n \"33554432 41943040\\n\",\n \"9909199 8388608\\n\",\n \"41943040 33554432\\n\",\n \"1 1\\n\",\n \"10 8\\n\",\n \"4939191 4194304\\n\",\n \"40 32\\n\",\n \"80 64\\n\",\n \"80 64\\n\",\n \"80 64\\n\",\n \"80 64\\n\",\n \"40 32\\n\",\n \"671088640 536870912\\n\",\n \"671088640 536870912\\n\",\n \"80 64\\n\",\n \"80 64\\n\",\n \"80 64\\n\",\n \"80 64\\n\",\n \"671088640 536870912\\n\",\n \"80 64\\n\",\n \"80 64\\n\",\n \"80 64\\n\",\n \"41943040 33554432\\n\",\n \"671088640 536870912\\n\",\n \"41943040 33554432\\n\",\n \"40 32\\n\",\n \"40 32\\n\",\n \"671088640 536870912\\n\",\n \"671088640 536870912\\n\",\n \"80 64\\n\",\n \"80 64\\n\",\n \"671088640 536870912\\n\",\n \"671088640 536870912\\n\",\n \"41943040 33554432\\n\",\n \"671088640 536870912\\n\",\n \"671088640 536870912\\n\",\n \"671088640 536870912\\n\",\n \"41943040 33554432\\n\",\n \"671088640 536870912\\n\",\n \"671088640 536870912\\n\",\n \"671088640 536870912\\n\",\n \"41943040 33554432\\n\",\n \"671088640 536870912\\n\",\n \"671088640 536870912\\n\",\n \"671088640 536870912\\n\",\n \"671088640 536870912\\n\",\n \"671088640 536870912\\n\"\n ]\n}"},"source":{"kind":"class label","value":"2","name":"CODEFORCES"}}},{"rowIdx":38281,"cells":{"id":{"kind":"string","value":"53_B. Blog Photo_38281"},"description":{"kind":"string","value":"One popular blog site edits the uploaded photos like this. It cuts a rectangular area out of them so that the ratio of height to width (i.e. the height / width quotient) can vary from 0.8 to 1.25 inclusively. Besides, at least one side of the cut area should have a size, equal to some power of number 2 (2x for some integer x). If those rules don't indicate the size of the cut are clearly, then the way with which the cut part possesses the largest area is chosen. Of course, both sides of the cut area should be integer. If there are several answers to this problem, you should choose the answer with the maximal height.\n\nInput\n\nThe first line contains a pair of integers h and w (1 ≤ h, w ≤ 109) which are the height and width of the uploaded photo in pixels.\n\nOutput\n\nPrint two integers which are the height and width of the cut area.\n\nExamples\n\nInput\n\n2 1\n\n\nOutput\n\n1 1\n\n\nInput\n\n2 2\n\n\nOutput\n\n2 2\n\n\nInput\n\n5 5\n\n\nOutput\n\n5 4"},"code":{"kind":"string","value":"#include \nusing namespace std;\nint main() {\n long long i, j, h, w, tmp_h, tmp_w;\n cin >> h >> w;\n for (i = 0;; i++) {\n if ((long long)(1 << i) > h || (long long)(1 << i) > (5 * w) / 4) {\n i--;\n break;\n }\n }\n for (j = 0;; j++) {\n if ((long long)(1 << j) > w || (long long)(1 << j) > (5 * h) / 4) {\n j--;\n break;\n }\n }\n i = 1 << i;\n j = 1 << j;\n tmp_h = min(j * 5 / 4, h);\n tmp_w = min(i * 5 / 4, w);\n if (i * tmp_w > j * tmp_h)\n cout << i << \" \" << tmp_w << endl;\n else if (i * tmp_w < j * tmp_h)\n cout << tmp_h << \" \" << j << endl;\n else\n cout << max(i, tmp_h) << \" \" << min(j, tmp_w) << endl;\n return 0;\n}\n"},"language":{"kind":"class label","value":"2","name":"C++"},"test_samples":{"kind":"string","value":"{\n \"input\": [\n \"2 1\\n\",\n \"2 2\\n\",\n \"5 5\\n\",\n \"15 13\\n\",\n \"9 10\\n\",\n \"47 46\\n\",\n \"49829224 49889315\\n\",\n \"483242 484564\\n\",\n \"644590722 593296648\\n\",\n \"971840165 826141527\\n\",\n \"49728622 49605627\\n\",\n \"99692141 99232337\\n\",\n \"48298903 49928606\\n\",\n \"792322809 775058858\\n\",\n \"998557701 924591072\\n\",\n \"939 887\\n\",\n \"9909199 9945873\\n\",\n \"39271 49032\\n\",\n \"1000000000 1000000000\\n\",\n \"49934587 49239195\\n\",\n \"4774 4806\\n\",\n \"944976601 976175854\\n\",\n \"4939191 4587461\\n\",\n \"99 100\\n\",\n \"48945079 49798393\\n\",\n \"49874820 49474021\\n\",\n \"47 56\\n\",\n \"39271 49011\\n\",\n \"1010000000 1000000000\\n\",\n \"101 100\\n\",\n \"6 5\\n\",\n \"8 10\\n\",\n \"40344417 49605627\\n\",\n \"9909199 9735441\\n\",\n \"51927138 49798393\\n\",\n \"1 1\\n\",\n \"13 13\\n\",\n \"4939191 4455370\\n\",\n \"47 54\\n\",\n \"100 100\\n\",\n \"110 100\\n\",\n \"110 110\\n\",\n \"100 110\\n\",\n \"47 45\\n\",\n \"1010000000 1000000010\\n\",\n \"1010000000 1000000001\\n\",\n \"101 110\\n\",\n \"111 100\\n\",\n \"111 110\\n\",\n \"101 111\\n\",\n \"1011000000 1000000010\\n\",\n \"100 111\\n\",\n \"100 101\\n\",\n \"101 101\\n\",\n \"49829224 60056281\\n\",\n \"1000000010 1000000000\\n\",\n \"57455132 49239195\\n\",\n \"47 48\\n\",\n \"47 57\\n\",\n \"1010000000 1001000010\\n\",\n \"1010000001 1000000001\\n\",\n \"111 101\\n\",\n \"111 111\\n\",\n \"1011000000 1000001010\\n\",\n \"1000000010 1010000000\\n\",\n \"57455132 54832111\\n\",\n \"1010000001 1000001001\\n\",\n \"1011000000 1010001010\\n\",\n \"1000000000 1010000000\\n\",\n \"57455132 61793242\\n\",\n \"1010000001 1000001000\\n\",\n \"1011000000 1010001000\\n\",\n \"1000000001 1010000000\\n\",\n \"52750015 61793242\\n\",\n \"1010000001 1000000000\\n\",\n \"1011000000 1011001000\\n\",\n \"1010000001 1010000000\\n\",\n \"1010000101 1000000000\\n\",\n \"1010000001 1010100000\\n\"\n ],\n \"output\": [\n \"1 1\",\n \"2 2\",\n \"5 4\",\n \"10 8\",\n \"8 10\",\n \"40 32\",\n \"41943040 33554432\",\n \"327680 262144\",\n \"644590722 536870912\",\n \"671088640 536870912\",\n \"41943040 33554432\",\n \"83886080 67108864\",\n \"41943040 33554432\",\n \"671088640 536870912\",\n \"671088640 536870912\",\n \"640 512\",\n \"8388608 9945873\",\n \"32768 40960\",\n \"671088640 536870912\",\n \"41943040 33554432\",\n \"4096 4806\",\n \"671088640 536870912\",\n \"4939191 4194304\",\n \"80 64\",\n \"41943040 33554432\",\n \"41943040 33554432\",\n \"40 32\\n\",\n \"32768 40960\\n\",\n \"671088640 536870912\\n\",\n \"80 64\\n\",\n \"5 4\\n\",\n \"8 10\\n\",\n \"33554432 41943040\\n\",\n \"9909199 8388608\\n\",\n \"41943040 33554432\\n\",\n \"1 1\\n\",\n \"10 8\\n\",\n \"4939191 4194304\\n\",\n \"40 32\\n\",\n \"80 64\\n\",\n \"80 64\\n\",\n \"80 64\\n\",\n \"80 64\\n\",\n \"40 32\\n\",\n \"671088640 536870912\\n\",\n \"671088640 536870912\\n\",\n \"80 64\\n\",\n \"80 64\\n\",\n \"80 64\\n\",\n \"80 64\\n\",\n \"671088640 536870912\\n\",\n \"80 64\\n\",\n \"80 64\\n\",\n \"80 64\\n\",\n \"41943040 33554432\\n\",\n \"671088640 536870912\\n\",\n \"41943040 33554432\\n\",\n \"40 32\\n\",\n \"40 32\\n\",\n \"671088640 536870912\\n\",\n \"671088640 536870912\\n\",\n \"80 64\\n\",\n \"80 64\\n\",\n \"671088640 536870912\\n\",\n \"671088640 536870912\\n\",\n \"41943040 33554432\\n\",\n \"671088640 536870912\\n\",\n \"671088640 536870912\\n\",\n \"671088640 536870912\\n\",\n \"41943040 33554432\\n\",\n \"671088640 536870912\\n\",\n \"671088640 536870912\\n\",\n \"671088640 536870912\\n\",\n \"41943040 33554432\\n\",\n \"671088640 536870912\\n\",\n \"671088640 536870912\\n\",\n \"671088640 536870912\\n\",\n \"671088640 536870912\\n\",\n \"671088640 536870912\\n\"\n ]\n}"},"source":{"kind":"class label","value":"2","name":"CODEFORCES"}}},{"rowIdx":38282,"cells":{"id":{"kind":"string","value":"53_B. Blog Photo_38282"},"description":{"kind":"string","value":"One popular blog site edits the uploaded photos like this. It cuts a rectangular area out of them so that the ratio of height to width (i.e. the height / width quotient) can vary from 0.8 to 1.25 inclusively. Besides, at least one side of the cut area should have a size, equal to some power of number 2 (2x for some integer x). If those rules don't indicate the size of the cut are clearly, then the way with which the cut part possesses the largest area is chosen. Of course, both sides of the cut area should be integer. If there are several answers to this problem, you should choose the answer with the maximal height.\n\nInput\n\nThe first line contains a pair of integers h and w (1 ≤ h, w ≤ 109) which are the height and width of the uploaded photo in pixels.\n\nOutput\n\nPrint two integers which are the height and width of the cut area.\n\nExamples\n\nInput\n\n2 1\n\n\nOutput\n\n1 1\n\n\nInput\n\n2 2\n\n\nOutput\n\n2 2\n\n\nInput\n\n5 5\n\n\nOutput\n\n5 4"},"code":{"kind":"string","value":"from math import ceil,floor\nl = []\n\nfor i in range(39):\n l.append(2**i)\nh,w = map(int,input().split())\nh1 = 0\nw1 = 0\nmaxi = 0\n\nfor i in l:\n\n if i<=w:\n a = ceil(i*0.8)\n b = floor(i*1.25)\n if a<=h<=b:\n if i*h>=maxi:\n maxi = i * h\n h1 = h\n w1 = i\n elif b=maxi:\n maxi = i * b\n h1 = b\n w1 = i\n elif a=maxi:\n maxi = i * a\n h1 = a\n w1 = i\n\n\n\nh2 = 0\nw2 = 0\nw,h = h,w\nmaxi = 0\n\nfor i in l:\n\n if i<=w:\n a = ceil(i/(1.25))\n b = floor(i/(0.8))\n if i<=w:\n a = ceil(i*0.8)\n b = floor(i*1.25)\n if a<=h<=b:\n if i*h>=maxi:\n maxi = i * h\n h2 = h\n w2 = i\n elif b=maxi:\n maxi = i * b\n h2 = b\n w2 = i\n elif a=maxi:\n maxi = i * a\n h2 = a\n w2 = i\n\n\nw2,h2 = h2,w2\nif h1*w1>h2*w2:\n print(h1,w1)\nelif h1*w1 == h2*w2:\n if h1>h2:\n print(h1,w1)\n else:\n print(h2,w2)\nelse:\n print(h2,w2)\n\n"},"language":{"kind":"class label","value":"3","name":"Python3"},"test_samples":{"kind":"string","value":"{\n \"input\": [\n \"2 1\\n\",\n \"2 2\\n\",\n \"5 5\\n\",\n \"15 13\\n\",\n \"9 10\\n\",\n \"47 46\\n\",\n \"49829224 49889315\\n\",\n \"483242 484564\\n\",\n \"644590722 593296648\\n\",\n \"971840165 826141527\\n\",\n \"49728622 49605627\\n\",\n \"99692141 99232337\\n\",\n \"48298903 49928606\\n\",\n \"792322809 775058858\\n\",\n \"998557701 924591072\\n\",\n \"939 887\\n\",\n \"9909199 9945873\\n\",\n \"39271 49032\\n\",\n \"1000000000 1000000000\\n\",\n \"49934587 49239195\\n\",\n \"4774 4806\\n\",\n \"944976601 976175854\\n\",\n \"4939191 4587461\\n\",\n \"99 100\\n\",\n \"48945079 49798393\\n\",\n \"49874820 49474021\\n\",\n \"47 56\\n\",\n \"39271 49011\\n\",\n \"1010000000 1000000000\\n\",\n \"101 100\\n\",\n \"6 5\\n\",\n \"8 10\\n\",\n \"40344417 49605627\\n\",\n \"9909199 9735441\\n\",\n \"51927138 49798393\\n\",\n \"1 1\\n\",\n \"13 13\\n\",\n \"4939191 4455370\\n\",\n \"47 54\\n\",\n \"100 100\\n\",\n \"110 100\\n\",\n \"110 110\\n\",\n \"100 110\\n\",\n \"47 45\\n\",\n \"1010000000 1000000010\\n\",\n \"1010000000 1000000001\\n\",\n \"101 110\\n\",\n \"111 100\\n\",\n \"111 110\\n\",\n \"101 111\\n\",\n \"1011000000 1000000010\\n\",\n \"100 111\\n\",\n \"100 101\\n\",\n \"101 101\\n\",\n \"49829224 60056281\\n\",\n \"1000000010 1000000000\\n\",\n \"57455132 49239195\\n\",\n \"47 48\\n\",\n \"47 57\\n\",\n \"1010000000 1001000010\\n\",\n \"1010000001 1000000001\\n\",\n \"111 101\\n\",\n \"111 111\\n\",\n \"1011000000 1000001010\\n\",\n \"1000000010 1010000000\\n\",\n \"57455132 54832111\\n\",\n \"1010000001 1000001001\\n\",\n \"1011000000 1010001010\\n\",\n \"1000000000 1010000000\\n\",\n \"57455132 61793242\\n\",\n \"1010000001 1000001000\\n\",\n \"1011000000 1010001000\\n\",\n \"1000000001 1010000000\\n\",\n \"52750015 61793242\\n\",\n \"1010000001 1000000000\\n\",\n \"1011000000 1011001000\\n\",\n \"1010000001 1010000000\\n\",\n \"1010000101 1000000000\\n\",\n \"1010000001 1010100000\\n\"\n ],\n \"output\": [\n \"1 1\",\n \"2 2\",\n \"5 4\",\n \"10 8\",\n \"8 10\",\n \"40 32\",\n \"41943040 33554432\",\n \"327680 262144\",\n \"644590722 536870912\",\n \"671088640 536870912\",\n \"41943040 33554432\",\n \"83886080 67108864\",\n \"41943040 33554432\",\n \"671088640 536870912\",\n \"671088640 536870912\",\n \"640 512\",\n \"8388608 9945873\",\n \"32768 40960\",\n \"671088640 536870912\",\n \"41943040 33554432\",\n \"4096 4806\",\n \"671088640 536870912\",\n \"4939191 4194304\",\n \"80 64\",\n \"41943040 33554432\",\n \"41943040 33554432\",\n \"40 32\\n\",\n \"32768 40960\\n\",\n \"671088640 536870912\\n\",\n \"80 64\\n\",\n \"5 4\\n\",\n \"8 10\\n\",\n \"33554432 41943040\\n\",\n \"9909199 8388608\\n\",\n \"41943040 33554432\\n\",\n \"1 1\\n\",\n \"10 8\\n\",\n \"4939191 4194304\\n\",\n \"40 32\\n\",\n \"80 64\\n\",\n \"80 64\\n\",\n \"80 64\\n\",\n \"80 64\\n\",\n \"40 32\\n\",\n \"671088640 536870912\\n\",\n \"671088640 536870912\\n\",\n \"80 64\\n\",\n \"80 64\\n\",\n \"80 64\\n\",\n \"80 64\\n\",\n \"671088640 536870912\\n\",\n \"80 64\\n\",\n \"80 64\\n\",\n \"80 64\\n\",\n \"41943040 33554432\\n\",\n \"671088640 536870912\\n\",\n \"41943040 33554432\\n\",\n \"40 32\\n\",\n \"40 32\\n\",\n \"671088640 536870912\\n\",\n \"671088640 536870912\\n\",\n \"80 64\\n\",\n \"80 64\\n\",\n \"671088640 536870912\\n\",\n \"671088640 536870912\\n\",\n \"41943040 33554432\\n\",\n \"671088640 536870912\\n\",\n \"671088640 536870912\\n\",\n \"671088640 536870912\\n\",\n \"41943040 33554432\\n\",\n \"671088640 536870912\\n\",\n \"671088640 536870912\\n\",\n \"671088640 536870912\\n\",\n \"41943040 33554432\\n\",\n \"671088640 536870912\\n\",\n \"671088640 536870912\\n\",\n \"671088640 536870912\\n\",\n \"671088640 536870912\\n\",\n \"671088640 536870912\\n\"\n ]\n}"},"source":{"kind":"class label","value":"2","name":"CODEFORCES"}}},{"rowIdx":38283,"cells":{"id":{"kind":"string","value":"53_B. Blog Photo_38283"},"description":{"kind":"string","value":"One popular blog site edits the uploaded photos like this. It cuts a rectangular area out of them so that the ratio of height to width (i.e. the height / width quotient) can vary from 0.8 to 1.25 inclusively. Besides, at least one side of the cut area should have a size, equal to some power of number 2 (2x for some integer x). If those rules don't indicate the size of the cut are clearly, then the way with which the cut part possesses the largest area is chosen. Of course, both sides of the cut area should be integer. If there are several answers to this problem, you should choose the answer with the maximal height.\n\nInput\n\nThe first line contains a pair of integers h and w (1 ≤ h, w ≤ 109) which are the height and width of the uploaded photo in pixels.\n\nOutput\n\nPrint two integers which are the height and width of the cut area.\n\nExamples\n\nInput\n\n2 1\n\n\nOutput\n\n1 1\n\n\nInput\n\n2 2\n\n\nOutput\n\n2 2\n\n\nInput\n\n5 5\n\n\nOutput\n\n5 4"},"code":{"kind":"string","value":"// practice with kaiboy\nimport java.io.*;\nimport java.util.*;\n\npublic class CF53B extends PrintWriter {\n\tCF53B() { super(System.out, true); }\n\tScanner sc = new Scanner(System.in);\n\tpublic static void main(String[] $) {\n\t\tCF53B o = new CF53B(); o.main(); o.flush();\n\t}\n\n\tint upper(int n) {\n\t\treturn (int) (n * 5L / 4);\n\t}\n\tvoid main() {\n\t\tint n = sc.nextInt();\n\t\tint m = sc.nextInt();\n\t\tm = Math.min(m, upper(n));\n\t\tn = Math.min(n, upper(m));\n\t\tint l = 0;\n\t\twhile (1 << l + 1 <= n)\n\t\t\tl++;\n\t\tint n1 = 1 << l, m1 = Math.min(m, upper(n1));\n\t\tl = 0;\n\t\twhile (1 << l + 1 <= m)\n\t\t\tl++;\n\t\tint m2 = 1 << l, n2 = Math.min(n, upper(m2));\n\t\tlong a1 = (long) n1 * m1;\n\t\tlong a2 = (long) n2 * m2;\n\t\tif (a1 > a2 || a1 == a2 && n1 > n2) {\n\t\t\tn = n1; m = m1;\n\t\t} else {\n\t\t\tn = n2; m = m2;\n\t\t}\n\t\tprintln(n + \" \" + m);\n\t}\n}\n"},"language":{"kind":"class label","value":"4","name":"JAVA"},"test_samples":{"kind":"string","value":"{\n \"input\": [\n \"2 1\\n\",\n \"2 2\\n\",\n \"5 5\\n\",\n \"15 13\\n\",\n \"9 10\\n\",\n \"47 46\\n\",\n \"49829224 49889315\\n\",\n \"483242 484564\\n\",\n \"644590722 593296648\\n\",\n \"971840165 826141527\\n\",\n \"49728622 49605627\\n\",\n \"99692141 99232337\\n\",\n \"48298903 49928606\\n\",\n \"792322809 775058858\\n\",\n \"998557701 924591072\\n\",\n \"939 887\\n\",\n \"9909199 9945873\\n\",\n \"39271 49032\\n\",\n \"1000000000 1000000000\\n\",\n \"49934587 49239195\\n\",\n \"4774 4806\\n\",\n \"944976601 976175854\\n\",\n \"4939191 4587461\\n\",\n \"99 100\\n\",\n \"48945079 49798393\\n\",\n \"49874820 49474021\\n\",\n \"47 56\\n\",\n \"39271 49011\\n\",\n \"1010000000 1000000000\\n\",\n \"101 100\\n\",\n \"6 5\\n\",\n \"8 10\\n\",\n \"40344417 49605627\\n\",\n \"9909199 9735441\\n\",\n \"51927138 49798393\\n\",\n \"1 1\\n\",\n \"13 13\\n\",\n \"4939191 4455370\\n\",\n \"47 54\\n\",\n \"100 100\\n\",\n \"110 100\\n\",\n \"110 110\\n\",\n \"100 110\\n\",\n \"47 45\\n\",\n \"1010000000 1000000010\\n\",\n \"1010000000 1000000001\\n\",\n \"101 110\\n\",\n \"111 100\\n\",\n \"111 110\\n\",\n \"101 111\\n\",\n \"1011000000 1000000010\\n\",\n \"100 111\\n\",\n \"100 101\\n\",\n \"101 101\\n\",\n \"49829224 60056281\\n\",\n \"1000000010 1000000000\\n\",\n \"57455132 49239195\\n\",\n \"47 48\\n\",\n \"47 57\\n\",\n \"1010000000 1001000010\\n\",\n \"1010000001 1000000001\\n\",\n \"111 101\\n\",\n \"111 111\\n\",\n \"1011000000 1000001010\\n\",\n \"1000000010 1010000000\\n\",\n \"57455132 54832111\\n\",\n \"1010000001 1000001001\\n\",\n \"1011000000 1010001010\\n\",\n \"1000000000 1010000000\\n\",\n \"57455132 61793242\\n\",\n \"1010000001 1000001000\\n\",\n \"1011000000 1010001000\\n\",\n \"1000000001 1010000000\\n\",\n \"52750015 61793242\\n\",\n \"1010000001 1000000000\\n\",\n \"1011000000 1011001000\\n\",\n \"1010000001 1010000000\\n\",\n \"1010000101 1000000000\\n\",\n \"1010000001 1010100000\\n\"\n ],\n \"output\": [\n \"1 1\",\n \"2 2\",\n \"5 4\",\n \"10 8\",\n \"8 10\",\n \"40 32\",\n \"41943040 33554432\",\n \"327680 262144\",\n \"644590722 536870912\",\n \"671088640 536870912\",\n \"41943040 33554432\",\n \"83886080 67108864\",\n \"41943040 33554432\",\n \"671088640 536870912\",\n \"671088640 536870912\",\n \"640 512\",\n \"8388608 9945873\",\n \"32768 40960\",\n \"671088640 536870912\",\n \"41943040 33554432\",\n \"4096 4806\",\n \"671088640 536870912\",\n \"4939191 4194304\",\n \"80 64\",\n \"41943040 33554432\",\n \"41943040 33554432\",\n \"40 32\\n\",\n \"32768 40960\\n\",\n \"671088640 536870912\\n\",\n \"80 64\\n\",\n \"5 4\\n\",\n \"8 10\\n\",\n \"33554432 41943040\\n\",\n \"9909199 8388608\\n\",\n \"41943040 33554432\\n\",\n \"1 1\\n\",\n \"10 8\\n\",\n \"4939191 4194304\\n\",\n \"40 32\\n\",\n \"80 64\\n\",\n \"80 64\\n\",\n \"80 64\\n\",\n \"80 64\\n\",\n \"40 32\\n\",\n \"671088640 536870912\\n\",\n \"671088640 536870912\\n\",\n \"80 64\\n\",\n \"80 64\\n\",\n \"80 64\\n\",\n \"80 64\\n\",\n \"671088640 536870912\\n\",\n \"80 64\\n\",\n \"80 64\\n\",\n \"80 64\\n\",\n \"41943040 33554432\\n\",\n \"671088640 536870912\\n\",\n \"41943040 33554432\\n\",\n \"40 32\\n\",\n \"40 32\\n\",\n \"671088640 536870912\\n\",\n \"671088640 536870912\\n\",\n \"80 64\\n\",\n \"80 64\\n\",\n \"671088640 536870912\\n\",\n \"671088640 536870912\\n\",\n \"41943040 33554432\\n\",\n \"671088640 536870912\\n\",\n \"671088640 536870912\\n\",\n \"671088640 536870912\\n\",\n \"41943040 33554432\\n\",\n \"671088640 536870912\\n\",\n \"671088640 536870912\\n\",\n \"671088640 536870912\\n\",\n \"41943040 33554432\\n\",\n \"671088640 536870912\\n\",\n \"671088640 536870912\\n\",\n \"671088640 536870912\\n\",\n \"671088640 536870912\\n\",\n \"671088640 536870912\\n\"\n ]\n}"},"source":{"kind":"class label","value":"2","name":"CODEFORCES"}}},{"rowIdx":38284,"cells":{"id":{"kind":"string","value":"567_D. One-Dimensional Battle Ships_38284"},"description":{"kind":"string","value":"Alice and Bob love playing one-dimensional battle ships. They play on the field in the form of a line consisting of n square cells (that is, on a 1 × n table).\n\nAt the beginning of the game Alice puts k ships on the field without telling their positions to Bob. Each ship looks as a 1 × a rectangle (that is, it occupies a sequence of a consecutive squares of the field). The ships cannot intersect and even touch each other.\n\nAfter that Bob makes a sequence of \"shots\". He names cells of the field and Alice either says that the cell is empty (\"miss\"), or that the cell belongs to some ship (\"hit\").\n\nBut here's the problem! Alice like to cheat. May be that is why she responds to each Bob's move with a \"miss\". \n\nHelp Bob catch Alice cheating — find Bob's first move, such that after it you can be sure that Alice cheated.\n\nInput\n\nThe first line of the input contains three integers: n, k and a (1 ≤ n, k, a ≤ 2·105) — the size of the field, the number of the ships and the size of each ship. It is guaranteed that the n, k and a are such that you can put k ships of size a on the field, so that no two ships intersect or touch each other.\n\nThe second line contains integer m (1 ≤ m ≤ n) — the number of Bob's moves.\n\nThe third line contains m distinct integers x1, x2, ..., xm, where xi is the number of the cell where Bob made the i-th shot. The cells are numbered from left to right from 1 to n.\n\nOutput\n\nPrint a single integer — the number of such Bob's first move, after which you can be sure that Alice lied. Bob's moves are numbered from 1 to m in the order the were made. If the sought move doesn't exist, then print \"-1\".\n\nExamples\n\nInput\n\n11 3 3\n5\n4 8 6 1 11\n\n\nOutput\n\n3\n\n\nInput\n\n5 1 3\n2\n1 5\n\n\nOutput\n\n-1\n\n\nInput\n\n5 1 3\n1\n3\n\n\nOutput\n\n1"},"code":{"kind":"string","value":"import copy\nn,k,a=map(int,raw_input().split())\nm=int(raw_input())\nl=map(int,raw_input().split())\ndef maxunit_vs_k(i,k):#i means nanbanme in l\n ll=l[:i]\n ll.sort()\n haba=[]\n for j in xrange(len(ll)-1):\n haba.append(abs(ll[j+1]-ll[j])-1)\n haba.append(abs(ll[0]-1))\n haba.append(abs(n-ll[-1]))\n maxunit=0\n for h in haba:\n if h>=a:\n h-=a\n maxunit+=1\n while h>=0:\n h-=(a+1)\n if h>=0:\n maxunit+=1\n if maxunit1):\n if maxunit_vs_k(x,k)==False:\n right=x\n else:\n left=x\n x=(right+left)/2\n if maxunit_vs_k(left,k):\n print left+1\n else:\n print left"},"language":{"kind":"class label","value":"1","name":"Python2"},"test_samples":{"kind":"string","value":"{\n \"input\": [\n \"11 3 3\\n5\\n4 8 6 1 11\\n\",\n \"5 1 3\\n1\\n3\\n\",\n \"5 1 3\\n2\\n1 5\\n\",\n \"200000 1 199999\\n2\\n2 200000\\n\",\n \"5000 1660 2\\n20\\n1 100 18 102 300 81 19 25 44 88 1337 4999 1054 1203 91 16 164 914 1419 1487\\n\",\n \"50 1 1\\n50\\n1 13 21 37 30 48 23 19 6 49 36 14 9 24 44 10 41 28 20 2 15 11 45 3 25 33 50 38 35 47 31 4 12 46 32 8 42 26 5 7 27 16 29 43 39 22 17 34 40 18\\n\",\n \"200000 1 199999\\n2\\n1 200000\\n\",\n \"200000 1 200000\\n1\\n200000\\n\",\n \"200000 1 200000\\n1\\n1\\n\",\n \"50 7 3\\n50\\n17 47 1 12 21 25 6 5 49 27 34 8 16 38 11 44 48 9 2 20 3 22 33 23 36 41 15 35 31 30 50 7 45 42 37 29 14 26 24 46 19 4 10 28 18 43 32 39 40 13\\n\",\n \"200000 1 199999\\n2\\n200000 1\\n\",\n \"10 2 4\\n2\\n5 6\\n\",\n \"200000 100000 1\\n1\\n31618\\n\",\n \"5000 1000 2\\n3\\n1000 2000 3000\\n\",\n \"10 2 4\\n3\\n5 6 1\\n\",\n \"4 2 1\\n2\\n1 3\\n\",\n \"4 2 1\\n2\\n1 2\\n\",\n \"50 7 3\\n20\\n24 18 34 32 44 2 5 40 17 48 31 45 8 6 15 27 26 1 20 10\\n\",\n \"1 1 1\\n1\\n1\\n\",\n \"5000 1660 2\\n20\\n1 100 18 102 300 81 19 25 44 88 1337 4999 1054 1203 91 16 70 914 1419 1487\\n\",\n \"200000 1 119175\\n2\\n1 200000\\n\",\n \"200000 1 200000\\n1\\n2\\n\",\n \"9 2 4\\n2\\n5 6\\n\",\n \"50 7 3\\n20\\n24 18 34 32 44 2 5 40 17 48 31 45 8 12 15 27 26 1 20 10\\n\",\n \"11 3 3\\n5\\n4 8 7 1 11\\n\",\n \"5000 1660 2\\n20\\n1 100 18 102 300 81 19 25 68 88 90 4999 1054 366 91 16 70 914 1419 1487\\n\",\n \"5000 1660 2\\n20\\n1 100 18 102 300 81 19 25 44 88 1337 4999 1054 1203 91 16 164 955 1419 1487\\n\",\n \"15 3 3\\n5\\n4 8 6 1 11\\n\",\n \"50 10 3\\n20\\n24 18 34 32 44 2 5 40 17 48 31 45 8 6 15 32 26 1 20 10\\n\",\n \"5000 1001 2\\n3\\n1000 2000 3000\\n\",\n \"2 1 1\\n1\\n1\\n\",\n \"5000 1660 2\\n20\\n1 100 18 102 300 81 19 25 44 88 90 4999 1054 1203 91 16 70 914 1419 1487\\n\",\n \"11 2 4\\n2\\n5 6\\n\",\n \"5000 1001 2\\n3\\n1000 2741 3000\\n\",\n \"50 7 3\\n20\\n24 18 34 32 44 2 5 40 17 48 31 45 8 12 15 27 43 1 20 10\\n\",\n \"2 1 2\\n1\\n1\\n\",\n \"5000 1660 2\\n20\\n1 100 18 102 300 81 19 25 68 88 90 4999 1054 1203 91 16 70 914 1419 1487\\n\",\n \"3 1 2\\n1\\n1\\n\",\n \"5000 1660 2\\n20\\n1 100 18 102 300 81 19 25 68 88 90 4999 1685 366 91 16 70 914 1419 1487\\n\",\n \"5000 1660 2\\n20\\n1 100 18 102 300 81 19 25 68 88 90 1961 1685 366 91 16 70 914 1419 1487\\n\",\n \"5000 1660 2\\n20\\n1 100 18 102 272 81 19 25 68 88 90 1961 1685 366 91 16 70 914 1419 1487\\n\",\n \"5000 1660 2\\n20\\n1 100 18 102 272 81 19 25 68 88 90 1961 1685 366 91 16 113 914 1419 1487\\n\",\n \"5000 1660 2\\n20\\n1 100 18 102 272 81 19 25 68 88 90 1961 1685 366 91 16 207 914 1419 1487\\n\",\n \"5000 1660 2\\n20\\n1 100 18 102 272 81 19 25 68 88 90 1961 1065 366 91 16 207 914 1419 1487\\n\",\n \"5000 1660 2\\n20\\n1 100 18 102 272 81 19 25 68 88 90 1961 1065 366 91 16 207 914 1419 2892\\n\",\n \"5000 1660 2\\n20\\n1 100 18 102 272 81 19 25 68 67 90 1961 1065 366 91 16 207 914 1419 2892\\n\",\n \"200000 1 166087\\n1\\n200000\\n\",\n \"200000 1 112231\\n1\\n1\\n\",\n \"200000 0 199999\\n2\\n200000 1\\n\",\n \"10 2 2\\n2\\n5 6\\n\",\n \"5000 0000 2\\n3\\n1000 2000 3000\\n\",\n \"8 2 1\\n2\\n1 3\\n\",\n \"50 7 3\\n20\\n24 18 34 32 44 2 5 40 17 48 31 45 8 6 15 32 26 1 20 10\\n\",\n \"5 1 3\\n1\\n2\\n\",\n \"5 1 1\\n2\\n1 5\\n\",\n \"5000 1660 2\\n20\\n1 100 18 102 300 81 19 25 44 88 500 4999 1054 1203 91 16 70 914 1419 1487\\n\",\n \"200000 1 192534\\n2\\n1 200000\\n\",\n \"17 2 4\\n2\\n5 6\\n\",\n \"5000 1001 2\\n3\\n1000 2041 3000\\n\",\n \"11 3 3\\n5\\n4 2 7 1 11\\n\",\n \"5000 1001 2\\n3\\n1000 2741 140\\n\",\n \"50 7 3\\n20\\n24 18 34 46 44 2 5 40 17 48 31 45 8 12 15 27 43 1 20 10\\n\",\n \"5000 1660 2\\n20\\n1 100 18 102 300 81 19 25 68 88 90 4999 326 1203 91 16 70 914 1419 1487\\n\",\n \"5 1 2\\n1\\n1\\n\",\n \"5000 1660 2\\n20\\n1 100 18 102 300 81 19 25 79 88 90 4999 1054 366 91 16 70 914 1419 1487\\n\",\n \"5000 1660 2\\n20\\n1 100 18 102 300 81 19 25 68 88 90 4999 3143 366 91 16 70 914 1419 1487\\n\",\n \"5000 297 2\\n20\\n1 100 18 102 300 81 19 25 68 88 90 1961 1685 366 91 16 70 914 1419 1487\\n\",\n \"5000 1660 2\\n20\\n1 100 18 102 272 81 19 25 68 88 32 1961 1685 366 91 16 113 914 1419 1487\\n\",\n \"5000 1660 2\\n20\\n1 100 18 102 272 81 19 25 68 59 90 1961 1685 366 91 16 207 914 1419 1487\\n\",\n \"5000 1660 2\\n20\\n1 100 18 102 272 81 19 34 68 88 90 1961 1065 366 91 16 207 914 1419 1487\\n\",\n \"5000 1660 2\\n20\\n1 100 18 102 272 81 19 25 68 88 90 1961 1065 542 91 16 207 914 1419 2892\\n\",\n \"5000 1660 2\\n20\\n2 100 18 102 272 81 19 25 68 67 90 1961 1065 366 91 16 207 914 1419 2892\\n\",\n \"5000 1660 2\\n20\\n1 100 18 102 300 81 19 25 44 88 1337 4999 1054 1203 91 16 164 955 1648 1487\\n\",\n \"200000 1 166087\\n1\\n71282\\n\",\n \"10 2 2\\n2\\n5 1\\n\",\n \"11 2 1\\n2\\n1 3\\n\",\n \"5 1 3\\n1\\n1\\n\",\n \"5000 1660 2\\n20\\n1 100 18 102 300 29 19 25 44 88 500 4999 1054 1203 91 16 70 914 1419 1487\\n\"\n ],\n \"output\": [\n \"3\\n\",\n \"1\\n\",\n \"-1\\n\",\n \"1\\n\",\n \"18\\n\",\n \"50\\n\",\n \"2\\n\",\n \"1\\n\",\n \"1\\n\",\n \"19\\n\",\n \"2\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"3\\n\",\n \"-1\\n\",\n \"2\\n\",\n \"13\\n\",\n \"1\\n\",\n \"18\\n\",\n \"-1\\n\",\n \"1\\n\",\n \"2\\n\",\n \"13\\n\",\n \"3\\n\",\n \"19\\n\",\n \"20\\n\",\n \"4\\n\",\n \"7\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"18\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"13\\n\",\n \"1\\n\",\n \"18\\n\",\n \"-1\\n\",\n \"19\\n\",\n \"-1\\n\",\n \"19\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"13\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"20\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"2\\n\",\n \"-1\\n\",\n \"13\\n\",\n \"20\\n\",\n \"-1\\n\",\n \"20\\n\",\n \"19\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\"\n ]\n}"},"source":{"kind":"class label","value":"2","name":"CODEFORCES"}}},{"rowIdx":38285,"cells":{"id":{"kind":"string","value":"567_D. One-Dimensional Battle Ships_38285"},"description":{"kind":"string","value":"Alice and Bob love playing one-dimensional battle ships. They play on the field in the form of a line consisting of n square cells (that is, on a 1 × n table).\n\nAt the beginning of the game Alice puts k ships on the field without telling their positions to Bob. Each ship looks as a 1 × a rectangle (that is, it occupies a sequence of a consecutive squares of the field). The ships cannot intersect and even touch each other.\n\nAfter that Bob makes a sequence of \"shots\". He names cells of the field and Alice either says that the cell is empty (\"miss\"), or that the cell belongs to some ship (\"hit\").\n\nBut here's the problem! Alice like to cheat. May be that is why she responds to each Bob's move with a \"miss\". \n\nHelp Bob catch Alice cheating — find Bob's first move, such that after it you can be sure that Alice cheated.\n\nInput\n\nThe first line of the input contains three integers: n, k and a (1 ≤ n, k, a ≤ 2·105) — the size of the field, the number of the ships and the size of each ship. It is guaranteed that the n, k and a are such that you can put k ships of size a on the field, so that no two ships intersect or touch each other.\n\nThe second line contains integer m (1 ≤ m ≤ n) — the number of Bob's moves.\n\nThe third line contains m distinct integers x1, x2, ..., xm, where xi is the number of the cell where Bob made the i-th shot. The cells are numbered from left to right from 1 to n.\n\nOutput\n\nPrint a single integer — the number of such Bob's first move, after which you can be sure that Alice lied. Bob's moves are numbered from 1 to m in the order the were made. If the sought move doesn't exist, then print \"-1\".\n\nExamples\n\nInput\n\n11 3 3\n5\n4 8 6 1 11\n\n\nOutput\n\n3\n\n\nInput\n\n5 1 3\n2\n1 5\n\n\nOutput\n\n-1\n\n\nInput\n\n5 1 3\n1\n3\n\n\nOutput\n\n1"},"code":{"kind":"string","value":"#include \nusing namespace std;\nint T, t, n, k, a, m, maxn;\nint tree[200010], x[200010];\nbool vis[200010];\nint lowbit(int x) { return x & (-x); }\nvoid update(int x, int num) {\n for (; x <= n; x += lowbit(x)) tree[x] += num;\n}\nint query(int x) {\n int ret = 0;\n for (; x > 0; x -= lowbit(x)) ret += tree[x];\n return ret;\n}\nint fen1(int pos) {\n int i, j, k, l, r, mi;\n l = 1;\n r = pos;\n while (l < r) {\n mi = (l + r) / 2;\n if (query(pos) - query(mi - 1) == pos - mi + 1)\n r = mi;\n else\n l = mi + 1;\n }\n return l;\n}\nint fen2(int pos) {\n int i, j, k, l, r, mi;\n l = pos;\n r = n;\n while (l < r) {\n mi = (l + r + 1) / 2;\n if (query(mi) - query(pos - 1) == mi - pos + 1)\n l = mi;\n else\n r = mi - 1;\n }\n return l;\n}\nvoid solve() {\n int i, j, l, r, len, len1, len2;\n scanf(\"%d%d%d\", &n, &k, &a);\n maxn = (n + 1) / (a + 1);\n scanf(\"%d\", &m);\n for (i = 1; i <= m; i++) scanf(\"%d\", &x[i]);\n for (i = 1; i <= n; i++) update(i, 1);\n for (i = 1; i <= m; i++) {\n if (vis[x[i]]) continue;\n vis[x[i]] = 1;\n l = fen1(x[i]);\n r = fen2(x[i]);\n update(x[i], -1);\n len = r - l + 1;\n len1 = x[i] - l;\n len2 = r - x[i];\n maxn = maxn - (len + 1) / (a + 1) + (len1 + 1) / (a + 1) +\n (len2 + 1) / (a + 1);\n if (maxn >= k)\n continue;\n else {\n printf(\"%d\\n\", i);\n return;\n }\n }\n printf(\"-1\\n\");\n}\nint main() { solve(); }\n"},"language":{"kind":"class label","value":"2","name":"C++"},"test_samples":{"kind":"string","value":"{\n \"input\": [\n \"11 3 3\\n5\\n4 8 6 1 11\\n\",\n \"5 1 3\\n1\\n3\\n\",\n \"5 1 3\\n2\\n1 5\\n\",\n \"200000 1 199999\\n2\\n2 200000\\n\",\n \"5000 1660 2\\n20\\n1 100 18 102 300 81 19 25 44 88 1337 4999 1054 1203 91 16 164 914 1419 1487\\n\",\n \"50 1 1\\n50\\n1 13 21 37 30 48 23 19 6 49 36 14 9 24 44 10 41 28 20 2 15 11 45 3 25 33 50 38 35 47 31 4 12 46 32 8 42 26 5 7 27 16 29 43 39 22 17 34 40 18\\n\",\n \"200000 1 199999\\n2\\n1 200000\\n\",\n \"200000 1 200000\\n1\\n200000\\n\",\n \"200000 1 200000\\n1\\n1\\n\",\n \"50 7 3\\n50\\n17 47 1 12 21 25 6 5 49 27 34 8 16 38 11 44 48 9 2 20 3 22 33 23 36 41 15 35 31 30 50 7 45 42 37 29 14 26 24 46 19 4 10 28 18 43 32 39 40 13\\n\",\n \"200000 1 199999\\n2\\n200000 1\\n\",\n \"10 2 4\\n2\\n5 6\\n\",\n \"200000 100000 1\\n1\\n31618\\n\",\n \"5000 1000 2\\n3\\n1000 2000 3000\\n\",\n \"10 2 4\\n3\\n5 6 1\\n\",\n \"4 2 1\\n2\\n1 3\\n\",\n \"4 2 1\\n2\\n1 2\\n\",\n \"50 7 3\\n20\\n24 18 34 32 44 2 5 40 17 48 31 45 8 6 15 27 26 1 20 10\\n\",\n \"1 1 1\\n1\\n1\\n\",\n \"5000 1660 2\\n20\\n1 100 18 102 300 81 19 25 44 88 1337 4999 1054 1203 91 16 70 914 1419 1487\\n\",\n \"200000 1 119175\\n2\\n1 200000\\n\",\n \"200000 1 200000\\n1\\n2\\n\",\n \"9 2 4\\n2\\n5 6\\n\",\n \"50 7 3\\n20\\n24 18 34 32 44 2 5 40 17 48 31 45 8 12 15 27 26 1 20 10\\n\",\n \"11 3 3\\n5\\n4 8 7 1 11\\n\",\n \"5000 1660 2\\n20\\n1 100 18 102 300 81 19 25 68 88 90 4999 1054 366 91 16 70 914 1419 1487\\n\",\n \"5000 1660 2\\n20\\n1 100 18 102 300 81 19 25 44 88 1337 4999 1054 1203 91 16 164 955 1419 1487\\n\",\n \"15 3 3\\n5\\n4 8 6 1 11\\n\",\n \"50 10 3\\n20\\n24 18 34 32 44 2 5 40 17 48 31 45 8 6 15 32 26 1 20 10\\n\",\n \"5000 1001 2\\n3\\n1000 2000 3000\\n\",\n \"2 1 1\\n1\\n1\\n\",\n \"5000 1660 2\\n20\\n1 100 18 102 300 81 19 25 44 88 90 4999 1054 1203 91 16 70 914 1419 1487\\n\",\n \"11 2 4\\n2\\n5 6\\n\",\n \"5000 1001 2\\n3\\n1000 2741 3000\\n\",\n \"50 7 3\\n20\\n24 18 34 32 44 2 5 40 17 48 31 45 8 12 15 27 43 1 20 10\\n\",\n \"2 1 2\\n1\\n1\\n\",\n \"5000 1660 2\\n20\\n1 100 18 102 300 81 19 25 68 88 90 4999 1054 1203 91 16 70 914 1419 1487\\n\",\n \"3 1 2\\n1\\n1\\n\",\n \"5000 1660 2\\n20\\n1 100 18 102 300 81 19 25 68 88 90 4999 1685 366 91 16 70 914 1419 1487\\n\",\n \"5000 1660 2\\n20\\n1 100 18 102 300 81 19 25 68 88 90 1961 1685 366 91 16 70 914 1419 1487\\n\",\n \"5000 1660 2\\n20\\n1 100 18 102 272 81 19 25 68 88 90 1961 1685 366 91 16 70 914 1419 1487\\n\",\n \"5000 1660 2\\n20\\n1 100 18 102 272 81 19 25 68 88 90 1961 1685 366 91 16 113 914 1419 1487\\n\",\n \"5000 1660 2\\n20\\n1 100 18 102 272 81 19 25 68 88 90 1961 1685 366 91 16 207 914 1419 1487\\n\",\n \"5000 1660 2\\n20\\n1 100 18 102 272 81 19 25 68 88 90 1961 1065 366 91 16 207 914 1419 1487\\n\",\n \"5000 1660 2\\n20\\n1 100 18 102 272 81 19 25 68 88 90 1961 1065 366 91 16 207 914 1419 2892\\n\",\n \"5000 1660 2\\n20\\n1 100 18 102 272 81 19 25 68 67 90 1961 1065 366 91 16 207 914 1419 2892\\n\",\n \"200000 1 166087\\n1\\n200000\\n\",\n \"200000 1 112231\\n1\\n1\\n\",\n \"200000 0 199999\\n2\\n200000 1\\n\",\n \"10 2 2\\n2\\n5 6\\n\",\n \"5000 0000 2\\n3\\n1000 2000 3000\\n\",\n \"8 2 1\\n2\\n1 3\\n\",\n \"50 7 3\\n20\\n24 18 34 32 44 2 5 40 17 48 31 45 8 6 15 32 26 1 20 10\\n\",\n \"5 1 3\\n1\\n2\\n\",\n \"5 1 1\\n2\\n1 5\\n\",\n \"5000 1660 2\\n20\\n1 100 18 102 300 81 19 25 44 88 500 4999 1054 1203 91 16 70 914 1419 1487\\n\",\n \"200000 1 192534\\n2\\n1 200000\\n\",\n \"17 2 4\\n2\\n5 6\\n\",\n \"5000 1001 2\\n3\\n1000 2041 3000\\n\",\n \"11 3 3\\n5\\n4 2 7 1 11\\n\",\n \"5000 1001 2\\n3\\n1000 2741 140\\n\",\n \"50 7 3\\n20\\n24 18 34 46 44 2 5 40 17 48 31 45 8 12 15 27 43 1 20 10\\n\",\n \"5000 1660 2\\n20\\n1 100 18 102 300 81 19 25 68 88 90 4999 326 1203 91 16 70 914 1419 1487\\n\",\n \"5 1 2\\n1\\n1\\n\",\n \"5000 1660 2\\n20\\n1 100 18 102 300 81 19 25 79 88 90 4999 1054 366 91 16 70 914 1419 1487\\n\",\n \"5000 1660 2\\n20\\n1 100 18 102 300 81 19 25 68 88 90 4999 3143 366 91 16 70 914 1419 1487\\n\",\n \"5000 297 2\\n20\\n1 100 18 102 300 81 19 25 68 88 90 1961 1685 366 91 16 70 914 1419 1487\\n\",\n \"5000 1660 2\\n20\\n1 100 18 102 272 81 19 25 68 88 32 1961 1685 366 91 16 113 914 1419 1487\\n\",\n \"5000 1660 2\\n20\\n1 100 18 102 272 81 19 25 68 59 90 1961 1685 366 91 16 207 914 1419 1487\\n\",\n \"5000 1660 2\\n20\\n1 100 18 102 272 81 19 34 68 88 90 1961 1065 366 91 16 207 914 1419 1487\\n\",\n \"5000 1660 2\\n20\\n1 100 18 102 272 81 19 25 68 88 90 1961 1065 542 91 16 207 914 1419 2892\\n\",\n \"5000 1660 2\\n20\\n2 100 18 102 272 81 19 25 68 67 90 1961 1065 366 91 16 207 914 1419 2892\\n\",\n \"5000 1660 2\\n20\\n1 100 18 102 300 81 19 25 44 88 1337 4999 1054 1203 91 16 164 955 1648 1487\\n\",\n \"200000 1 166087\\n1\\n71282\\n\",\n \"10 2 2\\n2\\n5 1\\n\",\n \"11 2 1\\n2\\n1 3\\n\",\n \"5 1 3\\n1\\n1\\n\",\n \"5000 1660 2\\n20\\n1 100 18 102 300 29 19 25 44 88 500 4999 1054 1203 91 16 70 914 1419 1487\\n\"\n ],\n \"output\": [\n \"3\\n\",\n \"1\\n\",\n \"-1\\n\",\n \"1\\n\",\n \"18\\n\",\n \"50\\n\",\n \"2\\n\",\n \"1\\n\",\n \"1\\n\",\n \"19\\n\",\n \"2\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"3\\n\",\n \"-1\\n\",\n \"2\\n\",\n \"13\\n\",\n \"1\\n\",\n \"18\\n\",\n \"-1\\n\",\n \"1\\n\",\n \"2\\n\",\n \"13\\n\",\n \"3\\n\",\n \"19\\n\",\n \"20\\n\",\n \"4\\n\",\n \"7\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"18\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"13\\n\",\n \"1\\n\",\n \"18\\n\",\n \"-1\\n\",\n \"19\\n\",\n \"-1\\n\",\n \"19\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"13\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"20\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"2\\n\",\n \"-1\\n\",\n \"13\\n\",\n \"20\\n\",\n \"-1\\n\",\n \"20\\n\",\n \"19\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\"\n ]\n}"},"source":{"kind":"class label","value":"2","name":"CODEFORCES"}}},{"rowIdx":38286,"cells":{"id":{"kind":"string","value":"567_D. One-Dimensional Battle Ships_38286"},"description":{"kind":"string","value":"Alice and Bob love playing one-dimensional battle ships. They play on the field in the form of a line consisting of n square cells (that is, on a 1 × n table).\n\nAt the beginning of the game Alice puts k ships on the field without telling their positions to Bob. Each ship looks as a 1 × a rectangle (that is, it occupies a sequence of a consecutive squares of the field). The ships cannot intersect and even touch each other.\n\nAfter that Bob makes a sequence of \"shots\". He names cells of the field and Alice either says that the cell is empty (\"miss\"), or that the cell belongs to some ship (\"hit\").\n\nBut here's the problem! Alice like to cheat. May be that is why she responds to each Bob's move with a \"miss\". \n\nHelp Bob catch Alice cheating — find Bob's first move, such that after it you can be sure that Alice cheated.\n\nInput\n\nThe first line of the input contains three integers: n, k and a (1 ≤ n, k, a ≤ 2·105) — the size of the field, the number of the ships and the size of each ship. It is guaranteed that the n, k and a are such that you can put k ships of size a on the field, so that no two ships intersect or touch each other.\n\nThe second line contains integer m (1 ≤ m ≤ n) — the number of Bob's moves.\n\nThe third line contains m distinct integers x1, x2, ..., xm, where xi is the number of the cell where Bob made the i-th shot. The cells are numbered from left to right from 1 to n.\n\nOutput\n\nPrint a single integer — the number of such Bob's first move, after which you can be sure that Alice lied. Bob's moves are numbered from 1 to m in the order the were made. If the sought move doesn't exist, then print \"-1\".\n\nExamples\n\nInput\n\n11 3 3\n5\n4 8 6 1 11\n\n\nOutput\n\n3\n\n\nInput\n\n5 1 3\n2\n1 5\n\n\nOutput\n\n-1\n\n\nInput\n\n5 1 3\n1\n3\n\n\nOutput\n\n1"},"code":{"kind":"string","value":"import sys\n\ndef minp():\n\treturn sys.stdin.readline().strip()\n\ndef mint():\n\treturn int(minp())\n\ndef mints():\n\treturn map(int, minp().split())\n\ndef solve():\n\tn, k, a = mints()\n\ta += 1\n\tm = mint()\n\tx = list(mints())\n\tl = 0\n\tr = m + 1\n\twhile r - l > 1:\n\t\tc = (l + r) // 2\n\t\tb = x[:c]\n\t\tb.sort()\n\t\tlast = 0\n\t\tcnt = 0\n\t\tfor i in b:\n\t\t\tif i != last:\n\t\t\t\tcnt += (i-last) // a\n\t\t\tlast = i\n\t\tcnt += (n+1-last)//a\n\t\tif cnt < k:\n\t\t\tr = c\n\t\telse:\n\t\t\tl = c\n\tif r == m + 1:\n\t\tr = -1\n\tprint(r)\n\nsolve()\n"},"language":{"kind":"class label","value":"3","name":"Python3"},"test_samples":{"kind":"string","value":"{\n \"input\": [\n \"11 3 3\\n5\\n4 8 6 1 11\\n\",\n \"5 1 3\\n1\\n3\\n\",\n \"5 1 3\\n2\\n1 5\\n\",\n \"200000 1 199999\\n2\\n2 200000\\n\",\n \"5000 1660 2\\n20\\n1 100 18 102 300 81 19 25 44 88 1337 4999 1054 1203 91 16 164 914 1419 1487\\n\",\n \"50 1 1\\n50\\n1 13 21 37 30 48 23 19 6 49 36 14 9 24 44 10 41 28 20 2 15 11 45 3 25 33 50 38 35 47 31 4 12 46 32 8 42 26 5 7 27 16 29 43 39 22 17 34 40 18\\n\",\n \"200000 1 199999\\n2\\n1 200000\\n\",\n \"200000 1 200000\\n1\\n200000\\n\",\n \"200000 1 200000\\n1\\n1\\n\",\n \"50 7 3\\n50\\n17 47 1 12 21 25 6 5 49 27 34 8 16 38 11 44 48 9 2 20 3 22 33 23 36 41 15 35 31 30 50 7 45 42 37 29 14 26 24 46 19 4 10 28 18 43 32 39 40 13\\n\",\n \"200000 1 199999\\n2\\n200000 1\\n\",\n \"10 2 4\\n2\\n5 6\\n\",\n \"200000 100000 1\\n1\\n31618\\n\",\n \"5000 1000 2\\n3\\n1000 2000 3000\\n\",\n \"10 2 4\\n3\\n5 6 1\\n\",\n \"4 2 1\\n2\\n1 3\\n\",\n \"4 2 1\\n2\\n1 2\\n\",\n \"50 7 3\\n20\\n24 18 34 32 44 2 5 40 17 48 31 45 8 6 15 27 26 1 20 10\\n\",\n \"1 1 1\\n1\\n1\\n\",\n \"5000 1660 2\\n20\\n1 100 18 102 300 81 19 25 44 88 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91 16 70 914 1419 1487\\n\",\n \"3 1 2\\n1\\n1\\n\",\n \"5000 1660 2\\n20\\n1 100 18 102 300 81 19 25 68 88 90 4999 1685 366 91 16 70 914 1419 1487\\n\",\n \"5000 1660 2\\n20\\n1 100 18 102 300 81 19 25 68 88 90 1961 1685 366 91 16 70 914 1419 1487\\n\",\n \"5000 1660 2\\n20\\n1 100 18 102 272 81 19 25 68 88 90 1961 1685 366 91 16 70 914 1419 1487\\n\",\n \"5000 1660 2\\n20\\n1 100 18 102 272 81 19 25 68 88 90 1961 1685 366 91 16 113 914 1419 1487\\n\",\n \"5000 1660 2\\n20\\n1 100 18 102 272 81 19 25 68 88 90 1961 1685 366 91 16 207 914 1419 1487\\n\",\n \"5000 1660 2\\n20\\n1 100 18 102 272 81 19 25 68 88 90 1961 1065 366 91 16 207 914 1419 1487\\n\",\n \"5000 1660 2\\n20\\n1 100 18 102 272 81 19 25 68 88 90 1961 1065 366 91 16 207 914 1419 2892\\n\",\n \"5000 1660 2\\n20\\n1 100 18 102 272 81 19 25 68 67 90 1961 1065 366 91 16 207 914 1419 2892\\n\",\n \"200000 1 166087\\n1\\n200000\\n\",\n \"200000 1 112231\\n1\\n1\\n\",\n \"200000 0 199999\\n2\\n200000 1\\n\",\n \"10 2 2\\n2\\n5 6\\n\",\n \"5000 0000 2\\n3\\n1000 2000 3000\\n\",\n \"8 2 1\\n2\\n1 3\\n\",\n \"50 7 3\\n20\\n24 18 34 32 44 2 5 40 17 48 31 45 8 6 15 32 26 1 20 10\\n\",\n \"5 1 3\\n1\\n2\\n\",\n \"5 1 1\\n2\\n1 5\\n\",\n \"5000 1660 2\\n20\\n1 100 18 102 300 81 19 25 44 88 500 4999 1054 1203 91 16 70 914 1419 1487\\n\",\n \"200000 1 192534\\n2\\n1 200000\\n\",\n \"17 2 4\\n2\\n5 6\\n\",\n \"5000 1001 2\\n3\\n1000 2041 3000\\n\",\n \"11 3 3\\n5\\n4 2 7 1 11\\n\",\n \"5000 1001 2\\n3\\n1000 2741 140\\n\",\n \"50 7 3\\n20\\n24 18 34 46 44 2 5 40 17 48 31 45 8 12 15 27 43 1 20 10\\n\",\n \"5000 1660 2\\n20\\n1 100 18 102 300 81 19 25 68 88 90 4999 326 1203 91 16 70 914 1419 1487\\n\",\n \"5 1 2\\n1\\n1\\n\",\n \"5000 1660 2\\n20\\n1 100 18 102 300 81 19 25 79 88 90 4999 1054 366 91 16 70 914 1419 1487\\n\",\n \"5000 1660 2\\n20\\n1 100 18 102 300 81 19 25 68 88 90 4999 3143 366 91 16 70 914 1419 1487\\n\",\n \"5000 297 2\\n20\\n1 100 18 102 300 81 19 25 68 88 90 1961 1685 366 91 16 70 914 1419 1487\\n\",\n \"5000 1660 2\\n20\\n1 100 18 102 272 81 19 25 68 88 32 1961 1685 366 91 16 113 914 1419 1487\\n\",\n \"5000 1660 2\\n20\\n1 100 18 102 272 81 19 25 68 59 90 1961 1685 366 91 16 207 914 1419 1487\\n\",\n \"5000 1660 2\\n20\\n1 100 18 102 272 81 19 34 68 88 90 1961 1065 366 91 16 207 914 1419 1487\\n\",\n \"5000 1660 2\\n20\\n1 100 18 102 272 81 19 25 68 88 90 1961 1065 542 91 16 207 914 1419 2892\\n\",\n \"5000 1660 2\\n20\\n2 100 18 102 272 81 19 25 68 67 90 1961 1065 366 91 16 207 914 1419 2892\\n\",\n \"5000 1660 2\\n20\\n1 100 18 102 300 81 19 25 44 88 1337 4999 1054 1203 91 16 164 955 1648 1487\\n\",\n \"200000 1 166087\\n1\\n71282\\n\",\n \"10 2 2\\n2\\n5 1\\n\",\n \"11 2 1\\n2\\n1 3\\n\",\n \"5 1 3\\n1\\n1\\n\",\n \"5000 1660 2\\n20\\n1 100 18 102 300 29 19 25 44 88 500 4999 1054 1203 91 16 70 914 1419 1487\\n\"\n ],\n \"output\": [\n \"3\\n\",\n \"1\\n\",\n \"-1\\n\",\n \"1\\n\",\n \"18\\n\",\n \"50\\n\",\n \"2\\n\",\n \"1\\n\",\n \"1\\n\",\n \"19\\n\",\n \"2\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"3\\n\",\n \"-1\\n\",\n \"2\\n\",\n \"13\\n\",\n \"1\\n\",\n \"18\\n\",\n \"-1\\n\",\n \"1\\n\",\n \"2\\n\",\n \"13\\n\",\n \"3\\n\",\n \"19\\n\",\n \"20\\n\",\n \"4\\n\",\n \"7\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"18\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"13\\n\",\n \"1\\n\",\n \"18\\n\",\n \"-1\\n\",\n \"19\\n\",\n \"-1\\n\",\n \"19\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"13\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"20\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"2\\n\",\n \"-1\\n\",\n \"13\\n\",\n \"20\\n\",\n \"-1\\n\",\n \"20\\n\",\n \"19\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\"\n ]\n}"},"source":{"kind":"class label","value":"2","name":"CODEFORCES"}}},{"rowIdx":38287,"cells":{"id":{"kind":"string","value":"567_D. One-Dimensional Battle Ships_38287"},"description":{"kind":"string","value":"Alice and Bob love playing one-dimensional battle ships. They play on the field in the form of a line consisting of n square cells (that is, on a 1 × n table).\n\nAt the beginning of the game Alice puts k ships on the field without telling their positions to Bob. Each ship looks as a 1 × a rectangle (that is, it occupies a sequence of a consecutive squares of the field). The ships cannot intersect and even touch each other.\n\nAfter that Bob makes a sequence of \"shots\". He names cells of the field and Alice either says that the cell is empty (\"miss\"), or that the cell belongs to some ship (\"hit\").\n\nBut here's the problem! Alice like to cheat. May be that is why she responds to each Bob's move with a \"miss\". \n\nHelp Bob catch Alice cheating — find Bob's first move, such that after it you can be sure that Alice cheated.\n\nInput\n\nThe first line of the input contains three integers: n, k and a (1 ≤ n, k, a ≤ 2·105) — the size of the field, the number of the ships and the size of each ship. It is guaranteed that the n, k and a are such that you can put k ships of size a on the field, so that no two ships intersect or touch each other.\n\nThe second line contains integer m (1 ≤ m ≤ n) — the number of Bob's moves.\n\nThe third line contains m distinct integers x1, x2, ..., xm, where xi is the number of the cell where Bob made the i-th shot. The cells are numbered from left to right from 1 to n.\n\nOutput\n\nPrint a single integer — the number of such Bob's first move, after which you can be sure that Alice lied. Bob's moves are numbered from 1 to m in the order the were made. If the sought move doesn't exist, then print \"-1\".\n\nExamples\n\nInput\n\n11 3 3\n5\n4 8 6 1 11\n\n\nOutput\n\n3\n\n\nInput\n\n5 1 3\n2\n1 5\n\n\nOutput\n\n-1\n\n\nInput\n\n5 1 3\n1\n3\n\n\nOutput\n\n1"},"code":{"kind":"string","value":"import java.io.BufferedReader;\nimport java.io.BufferedWriter;\nimport java.io.IOException;\nimport java.io.InputStream;\nimport java.io.InputStreamReader;\nimport java.io.OutputStream;\nimport java.io.OutputStreamWriter;\nimport java.io.PrintWriter;\nimport java.util.StringTokenizer;\nimport java.util.TreeMap;\nimport java.util.TreeSet;\n\npublic class Main {\n\tpublic static void main(String[] args) throws IOException {\n\t\tInputStream inputStream = System.in;\n\t\tOutputStream outputStream = System.out;\n\n\t\t// InputStream inputStream = new FileInputStream(\"joke.in\");\n\t\t// OutputStream outputStream = new FileOutputStream(\"joke.out\");\n\n\t\tInputReader in = new InputReader(inputStream);\n\t\tOutputWriter out = new OutputWriter(outputStream);\n\n\t\tTaskB solver = new TaskB();\n\t\tsolver.solve(in, out);\n\n\t\tout.close();\n\t}\n}\n\nclass TaskB {\n\n\tpublic void solve(InputReader in, OutputWriter out) {\n\n\t\tn = in.nextInt();\n\t\tk = in.nextInt();\n\t\ta = in.nextInt();\n\t\tint m = in.nextInt();\n\n\t\tint cnt = f(n);\n\t\tTreeSet set = new TreeSet();\n\t\tset.add(new Segment(1, n));\n\n\t\tfor (int i = 0; i < m; i++) {\n\t\t\tint x = in.nextInt();\n\t\t\tSegment s = new Segment(x, x);\n\t\t\tSegment seg = set.floor(s);\n\t\t\t\n\t\t\t//if(seg==null) continue;\n\t\t\tcnt -= f(seg.r - seg.l + 1);\n\t\t\tset.remove(seg);\n\t\t\tif (seg.l < x) {\n\t\t\t\tcnt += f(x - seg.l);\n\t\t\t\tset.add(new Segment(seg.l, x - 1));\n\t\t\t}\n\n\t\t\tif (seg.r > x) {\n\t\t\t\tcnt += f(seg.r - x);\n\t\t\t\tset.add(new Segment(x + 1, seg.r));\n\t\t\t}\n\t\t\tif(cnt {\n\n\tpublic Segment(int l, int r) {\n\t\tthis.l = l;\n\t\tthis.r = r;\n\t}\n\n\tpublic int compareTo(Segment s) {\n\t\treturn l-s.l;\n\t}\n\n\tint l, r;\n}\n\nclass InputReader {\n\n\tBufferedReader reader;\n\tStringTokenizer tokenizer;\n\n\tpublic InputReader(InputStream stream) {\n\t\ttokenizer = null;\n\t\treader = new BufferedReader(new InputStreamReader(stream));\n\t}\n\n\tpublic String next() {\n\t\twhile (tokenizer == null || !tokenizer.hasMoreTokens()) {\n\t\t\ttry {\n\t\t\t\ttokenizer = new StringTokenizer(reader.readLine());\n\t\t\t} catch (IOException e) {\n\t\t\t\tthrow new RuntimeException();\n\t\t\t}\n\t\t}\n\n\t\treturn tokenizer.nextToken();\n\t}\n\n\tpublic String nextLine() {\n\t\ttokenizer = null;\n\t\ttry {\n\t\t\treturn reader.readLine();\n\t\t} catch (IOException e) {\n\t\t\tthrow new RuntimeException();\n\t\t}\n\t}\n\n\tpublic int nextInt() {\n\t\treturn Integer.parseInt(next());\n\t}\n\n\tpublic long nextLong() {\n\t\treturn Long.parseLong(next());\n\t}\n\n\tpublic double nextDouble() {\n\t\treturn Double.parseDouble(next());\n\t}\n\n\tpublic int[] nextIntArray(int n) {\n\t\tint[] res = new int[n];\n\t\tfor (int i = 0; i < n; i++)\n\t\t\tres[i] = nextInt();\n\n\t\treturn res;\n\t}\n\n}\n\nclass OutputWriter {\n\n\tPrintWriter out;\n\n\tpublic OutputWriter(OutputStream stream) {\n\t\tout = new PrintWriter(\n\t\t\t\tnew BufferedWriter(new OutputStreamWriter(stream)));\n\t}\n\n\tpublic void write(Object... o) {\n\t\tfor (Object cur : o)\n\t\t\tout.print(cur);\n\t}\n\n\tpublic void writeln(Object... o) {\n\t\twrite(o);\n\t\tout.println();\n\t}\n\n\tpublic void flush() {\n\t\tout.flush();\n\t}\n\n\tpublic void close() {\n\t\tout.close();\n\t}\n\n}\n"},"language":{"kind":"class label","value":"4","name":"JAVA"},"test_samples":{"kind":"string","value":"{\n \"input\": [\n \"11 3 3\\n5\\n4 8 6 1 11\\n\",\n \"5 1 3\\n1\\n3\\n\",\n \"5 1 3\\n2\\n1 5\\n\",\n \"200000 1 199999\\n2\\n2 200000\\n\",\n \"5000 1660 2\\n20\\n1 100 18 102 300 81 19 25 44 88 1337 4999 1054 1203 91 16 164 914 1419 1487\\n\",\n \"50 1 1\\n50\\n1 13 21 37 30 48 23 19 6 49 36 14 9 24 44 10 41 28 20 2 15 11 45 3 25 33 50 38 35 47 31 4 12 46 32 8 42 26 5 7 27 16 29 43 39 22 17 34 40 18\\n\",\n \"200000 1 199999\\n2\\n1 200000\\n\",\n \"200000 1 200000\\n1\\n200000\\n\",\n \"200000 1 200000\\n1\\n1\\n\",\n \"50 7 3\\n50\\n17 47 1 12 21 25 6 5 49 27 34 8 16 38 11 44 48 9 2 20 3 22 33 23 36 41 15 35 31 30 50 7 45 42 37 29 14 26 24 46 19 4 10 28 18 43 32 39 40 13\\n\",\n \"200000 1 199999\\n2\\n200000 1\\n\",\n \"10 2 4\\n2\\n5 6\\n\",\n \"200000 100000 1\\n1\\n31618\\n\",\n \"5000 1000 2\\n3\\n1000 2000 3000\\n\",\n \"10 2 4\\n3\\n5 6 1\\n\",\n \"4 2 1\\n2\\n1 3\\n\",\n \"4 2 1\\n2\\n1 2\\n\",\n \"50 7 3\\n20\\n24 18 34 32 44 2 5 40 17 48 31 45 8 6 15 27 26 1 20 10\\n\",\n \"1 1 1\\n1\\n1\\n\",\n \"5000 1660 2\\n20\\n1 100 18 102 300 81 19 25 44 88 1337 4999 1054 1203 91 16 70 914 1419 1487\\n\",\n \"200000 1 119175\\n2\\n1 200000\\n\",\n \"200000 1 200000\\n1\\n2\\n\",\n \"9 2 4\\n2\\n5 6\\n\",\n \"50 7 3\\n20\\n24 18 34 32 44 2 5 40 17 48 31 45 8 12 15 27 26 1 20 10\\n\",\n \"11 3 3\\n5\\n4 8 7 1 11\\n\",\n \"5000 1660 2\\n20\\n1 100 18 102 300 81 19 25 68 88 90 4999 1054 366 91 16 70 914 1419 1487\\n\",\n \"5000 1660 2\\n20\\n1 100 18 102 300 81 19 25 44 88 1337 4999 1054 1203 91 16 164 955 1419 1487\\n\",\n \"15 3 3\\n5\\n4 8 6 1 11\\n\",\n \"50 10 3\\n20\\n24 18 34 32 44 2 5 40 17 48 31 45 8 6 15 32 26 1 20 10\\n\",\n \"5000 1001 2\\n3\\n1000 2000 3000\\n\",\n \"2 1 1\\n1\\n1\\n\",\n \"5000 1660 2\\n20\\n1 100 18 102 300 81 19 25 44 88 90 4999 1054 1203 91 16 70 914 1419 1487\\n\",\n \"11 2 4\\n2\\n5 6\\n\",\n \"5000 1001 2\\n3\\n1000 2741 3000\\n\",\n \"50 7 3\\n20\\n24 18 34 32 44 2 5 40 17 48 31 45 8 12 15 27 43 1 20 10\\n\",\n \"2 1 2\\n1\\n1\\n\",\n \"5000 1660 2\\n20\\n1 100 18 102 300 81 19 25 68 88 90 4999 1054 1203 91 16 70 914 1419 1487\\n\",\n \"3 1 2\\n1\\n1\\n\",\n \"5000 1660 2\\n20\\n1 100 18 102 300 81 19 25 68 88 90 4999 1685 366 91 16 70 914 1419 1487\\n\",\n \"5000 1660 2\\n20\\n1 100 18 102 300 81 19 25 68 88 90 1961 1685 366 91 16 70 914 1419 1487\\n\",\n \"5000 1660 2\\n20\\n1 100 18 102 272 81 19 25 68 88 90 1961 1685 366 91 16 70 914 1419 1487\\n\",\n \"5000 1660 2\\n20\\n1 100 18 102 272 81 19 25 68 88 90 1961 1685 366 91 16 113 914 1419 1487\\n\",\n \"5000 1660 2\\n20\\n1 100 18 102 272 81 19 25 68 88 90 1961 1685 366 91 16 207 914 1419 1487\\n\",\n \"5000 1660 2\\n20\\n1 100 18 102 272 81 19 25 68 88 90 1961 1065 366 91 16 207 914 1419 1487\\n\",\n \"5000 1660 2\\n20\\n1 100 18 102 272 81 19 25 68 88 90 1961 1065 366 91 16 207 914 1419 2892\\n\",\n \"5000 1660 2\\n20\\n1 100 18 102 272 81 19 25 68 67 90 1961 1065 366 91 16 207 914 1419 2892\\n\",\n \"200000 1 166087\\n1\\n200000\\n\",\n \"200000 1 112231\\n1\\n1\\n\",\n \"200000 0 199999\\n2\\n200000 1\\n\",\n \"10 2 2\\n2\\n5 6\\n\",\n \"5000 0000 2\\n3\\n1000 2000 3000\\n\",\n \"8 2 1\\n2\\n1 3\\n\",\n \"50 7 3\\n20\\n24 18 34 32 44 2 5 40 17 48 31 45 8 6 15 32 26 1 20 10\\n\",\n \"5 1 3\\n1\\n2\\n\",\n \"5 1 1\\n2\\n1 5\\n\",\n \"5000 1660 2\\n20\\n1 100 18 102 300 81 19 25 44 88 500 4999 1054 1203 91 16 70 914 1419 1487\\n\",\n \"200000 1 192534\\n2\\n1 200000\\n\",\n \"17 2 4\\n2\\n5 6\\n\",\n \"5000 1001 2\\n3\\n1000 2041 3000\\n\",\n \"11 3 3\\n5\\n4 2 7 1 11\\n\",\n \"5000 1001 2\\n3\\n1000 2741 140\\n\",\n \"50 7 3\\n20\\n24 18 34 46 44 2 5 40 17 48 31 45 8 12 15 27 43 1 20 10\\n\",\n \"5000 1660 2\\n20\\n1 100 18 102 300 81 19 25 68 88 90 4999 326 1203 91 16 70 914 1419 1487\\n\",\n \"5 1 2\\n1\\n1\\n\",\n \"5000 1660 2\\n20\\n1 100 18 102 300 81 19 25 79 88 90 4999 1054 366 91 16 70 914 1419 1487\\n\",\n \"5000 1660 2\\n20\\n1 100 18 102 300 81 19 25 68 88 90 4999 3143 366 91 16 70 914 1419 1487\\n\",\n \"5000 297 2\\n20\\n1 100 18 102 300 81 19 25 68 88 90 1961 1685 366 91 16 70 914 1419 1487\\n\",\n \"5000 1660 2\\n20\\n1 100 18 102 272 81 19 25 68 88 32 1961 1685 366 91 16 113 914 1419 1487\\n\",\n \"5000 1660 2\\n20\\n1 100 18 102 272 81 19 25 68 59 90 1961 1685 366 91 16 207 914 1419 1487\\n\",\n \"5000 1660 2\\n20\\n1 100 18 102 272 81 19 34 68 88 90 1961 1065 366 91 16 207 914 1419 1487\\n\",\n \"5000 1660 2\\n20\\n1 100 18 102 272 81 19 25 68 88 90 1961 1065 542 91 16 207 914 1419 2892\\n\",\n \"5000 1660 2\\n20\\n2 100 18 102 272 81 19 25 68 67 90 1961 1065 366 91 16 207 914 1419 2892\\n\",\n \"5000 1660 2\\n20\\n1 100 18 102 300 81 19 25 44 88 1337 4999 1054 1203 91 16 164 955 1648 1487\\n\",\n \"200000 1 166087\\n1\\n71282\\n\",\n \"10 2 2\\n2\\n5 1\\n\",\n \"11 2 1\\n2\\n1 3\\n\",\n \"5 1 3\\n1\\n1\\n\",\n \"5000 1660 2\\n20\\n1 100 18 102 300 29 19 25 44 88 500 4999 1054 1203 91 16 70 914 1419 1487\\n\"\n ],\n \"output\": [\n \"3\\n\",\n \"1\\n\",\n \"-1\\n\",\n \"1\\n\",\n \"18\\n\",\n \"50\\n\",\n \"2\\n\",\n \"1\\n\",\n \"1\\n\",\n \"19\\n\",\n \"2\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"3\\n\",\n \"-1\\n\",\n \"2\\n\",\n \"13\\n\",\n \"1\\n\",\n \"18\\n\",\n \"-1\\n\",\n \"1\\n\",\n \"2\\n\",\n \"13\\n\",\n \"3\\n\",\n \"19\\n\",\n \"20\\n\",\n \"4\\n\",\n \"7\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"18\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"13\\n\",\n \"1\\n\",\n \"18\\n\",\n \"-1\\n\",\n \"19\\n\",\n \"-1\\n\",\n \"19\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"13\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"20\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"2\\n\",\n \"-1\\n\",\n \"13\\n\",\n \"20\\n\",\n \"-1\\n\",\n \"20\\n\",\n \"19\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\",\n \"-1\\n\"\n ]\n}"},"source":{"kind":"class label","value":"2","name":"CODEFORCES"}}},{"rowIdx":38288,"cells":{"id":{"kind":"string","value":"588_F. Duff in Mafia_38288"},"description":{"kind":"string","value":"Duff is one if the heads of Mafia in her country, Andarz Gu. Andarz Gu has n cities (numbered from 1 to n) connected by m bidirectional roads (numbered by 1 to m).\n\nEach road has a destructing time, and a color. i-th road connects cities vi and ui and its color is ci and its destructing time is ti.\n\nMafia wants to destruct a matching in Andarz Gu. A matching is a subset of roads such that no two roads in this subset has common endpoint. They can destruct these roads in parallel, i. e. the total destruction time is a maximum over destruction times of all selected roads.\n\n\n\nThey want two conditions to be satisfied:\n\n 1. The remaining roads form a proper coloring. \n 2. Destructing time of this matching is minimized. \n\n\n\nThe remaining roads after destructing this matching form a proper coloring if and only if no two roads of the same color have same endpoint, or, in the other words, edges of each color should form a matching.\n\nThere is no programmer in Mafia. That's why Duff asked for your help. Please help her and determine which matching to destruct in order to satisfied those conditions (or state that this is not possible).\n\nInput\n\nThe first line of input contains two integers n and m (2 ≤ n ≤ 5 × 104 and 1 ≤ m ≤ 5 × 104), number of cities and number of roads in the country.\n\nThe next m lines contain the the roads. i - th of them contains four integers vi, ui, ci and ti (1 ≤ vi, ui ≤ n, vi ≠ ui and 1 ≤ ci, ti ≤ 109 for each 1 ≤ i ≤ m).\n\nOutput\n\nIn the first line of input, print \"Yes\" (without quotes) if satisfying the first condition is possible and \"No\" (without quotes) otherwise.\n\nIf it is possible, then you have to print two integers t and k in the second line, the minimum destructing time and the number of roads in the matching ().\n\nIn the third line print k distinct integers separated by spaces, indices of the roads in the matching in any order. Roads are numbered starting from one in order of their appearance in the input.\n\nIf there's more than one solution, print any of them.\n\nExamples\n\nInput\n\n5 7\n2 1 3 7\n3 1 1 6\n5 4 1 8\n4 5 1 1\n3 2 2 3\n4 5 2 5\n2 3 2 4\n\n\nOutput\n\nYes\n3 2\n4 5\n\n\nInput\n\n3 5\n3 2 1 3\n1 3 1 1\n3 2 1 4\n1 3 2 2\n1 3 2 10\n\n\nOutput\n\nNo\n\nNote\n\nGraph of Andarz Gu in the first sample case is as follows:\n\n\n\nA solution would be to destruct the roads with crosses.\n\nGraph of Andarz Gu in the second sample case is as follows:\n\n"},"code":{"kind":"string","value":"#include \nusing namespace std;\nconst int MAX_BUF_SIZE = 16384;\nchar BUFOR[MAX_BUF_SIZE];\nint BUF_SIZE, BUF_POS;\nchar ZZZ;\nconst int MXN = 6 * 50010;\nconst int C = 262144;\nconst int INF = 1000000001;\nnamespace SAT2 {\nvector G[MXN], GT[MXN], H[MXN], vert[MXN];\nint pre[MXN], skl[MXN];\nvector fu;\nclass SAT2 {\n SAT2() {}\n int n, czas, skla;\n int neg(int v1) { return (v1 + n) % (2 * n); }\n void addEdge(int v1, int v2) {\n G[neg(v1)].push_back(v2);\n GT[v2].push_back(neg(v1));\n G[neg(v2)].push_back(v1);\n GT[v1].push_back(neg(v2));\n }\n void dfs(int x) {\n pre[x] = ++czas;\n for (__typeof((G[x]).begin()) it = ((G[x]).begin()); it != (G[x]).end();\n ++it)\n if (!pre[*it]) dfs(*it);\n fu.push_back(x);\n }\n void dfs2(int x) {\n skl[x] = skla;\n vert[skla].push_back(x);\n for (__typeof((GT[x]).begin()) it = ((GT[x]).begin()); it != (GT[x]).end();\n ++it)\n if (!skl[*it]) dfs2(*it);\n }\n void dfs3(int x) {\n pre[x] = 1;\n for (__typeof((H[x]).begin()) it = ((H[x]).begin()); it != (H[x]).end();\n ++it)\n if (!pre[*it]) dfs3(*it);\n fu.push_back(x);\n }\n void clear() {\n fu.clear();\n for (int i = (0); i <= (2 * n); i++) pre[i] = skl[i] = 0;\n for (int i = (0); i <= (2 * n); i++) {\n G[i].clear();\n GT[i].clear();\n vert[i].clear();\n H[i].clear();\n }\n }\n\n public:\n SAT2(int _n) {\n czas = 0;\n skla = 0;\n n = _n;\n }\n void add(int v1, bool pos1, int v2, bool pos2) {\n addEdge((pos1 ? neg(v1) : v1), (pos2 ? neg(v2) : v2));\n }\n pair > solve() {\n for (int i = (0); i <= (2 * n - 1); i++)\n if (!pre[i]) dfs(i);\n for (int i = ((int)(fu).size() - 1); i >= (0); i--) {\n int w = fu[i];\n if (!skl[w]) {\n skla++;\n dfs2(w);\n }\n }\n skla++;\n for (int i = (0); i <= (n - 1); i++)\n if (skl[i] == skl[i + n]) {\n clear();\n return make_pair(false, vector());\n }\n for (int i = (0); i <= (2 * n - 1); i++) {\n for (__typeof((G[i]).begin()) it = ((G[i]).begin()); it != (G[i]).end();\n ++it)\n H[skl[i]].push_back(skl[*it]);\n }\n fu.clear();\n for (int i = (0); i <= (skla); i++) pre[i] = 0;\n for (int i = (0); i <= (skla - 1); i++)\n if (!pre[i]) dfs3(i);\n vector res(2 * n, 0);\n vector tmp(skla + 1, -1);\n for (int i = ((int)(fu).size() - 1); i >= (0); i--) {\n int w = fu[i];\n if (tmp[w] == -1) tmp[w] = 0;\n if (tmp[w] == 1)\n for (__typeof((H[w]).begin()) it = ((H[w]).begin()); it != (H[w]).end();\n ++it)\n tmp[*it] = 1;\n for (__typeof((vert[w]).begin()) it = ((vert[w]).begin());\n it != (vert[w]).end(); ++it) {\n tmp[skl[neg(*it)]] = !tmp[w];\n res[*it] = tmp[w];\n res[neg(*it)] = !tmp[w];\n }\n }\n clear();\n return make_pair(true, res);\n }\n};\n} // namespace SAT2\nint n2, m;\nvector > > G2[MXN];\nint c[MXN], t[MXN];\npair > check(int second) {\n SAT2::SAT2 SAT(3 * m);\n for (int i = (0); i <= (m - 1); i++)\n if (t[i] > second) SAT.add(i, 1, i, 1);\n for (int i = (1); i <= (n2); i++) {\n for (int j = (0); j <= ((int)(G2[i]).size() - 1); j++) {\n int iter = j;\n while (iter < (int)(G2[i]).size() && G2[i][j].first == G2[i][iter].first)\n iter++;\n if (iter - j > 2)\n return make_pair(false, vector());\n else if (iter - j == 2)\n SAT.add(G2[i][j].second.second, 0, G2[i][j + 1].second.second, 0);\n j = iter - 1;\n }\n int last = -1;\n for (int j = (0); j <= ((int)(G2[i]).size() - 1); j++) {\n int ei = G2[i][j].second.second;\n int pi = ei;\n if (i < G2[i][j].second.first)\n pi += m;\n else\n pi += 2 * m;\n SAT.add(pi, 1, ei, 1);\n if (last != -1) {\n SAT.add(ei, 1, last, 0);\n SAT.add(pi, 1, last, 0);\n }\n last = pi;\n }\n }\n return SAT.solve();\n}\nvoid test() {\n scanf(\"%d %d\", &n2, &m);\n int mx = 0;\n for (int i = (1); i <= (m); i++) {\n int a, b;\n scanf(\"%d %d %d %d\", &a, &b, &c[i - 1], &t[i - 1]);\n mx = max(mx, t[i - 1]);\n G2[a].push_back(make_pair(c[i - 1], make_pair(b, i - 1)));\n G2[b].push_back(make_pair(c[i - 1], make_pair(a, i - 1)));\n }\n for (int i = (1); i <= (n2); i++) sort((G2[i]).begin(), (G2[i]).end());\n int res = INF;\n int L = 0, R = mx;\n vector ans;\n while (L <= R) {\n int second = (L + R) / 2;\n pair > p1 = check(second);\n if (p1.first) {\n if (res > second) {\n res = second;\n ans = p1.second;\n }\n R = second - 1;\n } else\n L = second + 1;\n }\n if (res != INF) {\n printf(\"Yes\\n\");\n int cnt = 0;\n for (int i = (0); i <= (m - 1); i++)\n if (ans[i]) cnt++;\n printf(\"%d %d\\n\", res, cnt);\n for (int i = (0); i <= (m - 1); i++)\n if (ans[i]) printf(\"%d \", i + 1);\n printf(\"\\n\");\n } else\n printf(\"No\\n\");\n}\nint main() {\n int te = 1;\n while (te--) test();\n return 0;\n}\n"},"language":{"kind":"class label","value":"2","name":"C++"},"test_samples":{"kind":"string","value":"{\n \"input\": [\n \"5 7\\n2 1 3 7\\n3 1 1 6\\n5 4 1 8\\n4 5 1 1\\n3 2 2 3\\n4 5 2 5\\n2 3 2 4\\n\",\n \"3 5\\n3 2 1 3\\n1 3 1 1\\n3 2 1 4\\n1 3 2 2\\n1 3 2 10\\n\",\n \"3 5\\n2 1 608591421 720962564\\n3 2 608591421 641991574\\n3 2 718110706 353409763\\n2 3 482786015 858341723\\n3 2 825397574 357507279\\n\",\n \"2 1\\n2 1 317425595 636156322\\n\",\n \"50000 1\\n20845 28516 904146168 997637433\\n\",\n \"3 5\\n2 1 608591421 720962564\\n6 2 608591421 641991574\\n3 2 718110706 353409763\\n2 3 482786015 858341723\\n3 2 825397574 357507279\\n\",\n \"2 1\\n2 1 317425595 932806361\\n\",\n \"3 5\\n3 2 1 3\\n1 3 1 1\\n3 2 1 4\\n1 3 2 2\\n1 3 2 1\\n\",\n \"10 7\\n2 1 3 7\\n3 1 1 6\\n5 4 1 8\\n4 5 1 1\\n3 2 2 3\\n4 5 2 5\\n2 3 2 4\\n\",\n \"50000 1\\n20845 28516 904146168 834069176\\n\",\n \"2 1\\n2 1 296600034 932806361\\n\",\n \"50000 1\\n32372 28516 904146168 834069176\\n\",\n \"3 5\\n3 2 1 3\\n1 3 1 1\\n3 2 0 4\\n1 3 2 2\\n1 3 2 1\\n\",\n \"50000 1\\n38988 28516 904146168 834069176\\n\",\n \"3 5\\n2 1 608591421 720962564\\n3 2 608591421 641991574\\n3 4 718110706 353409763\\n2 3 482786015 858341723\\n3 2 825397574 357507279\\n\",\n \"2 1\\n2 1 339371166 636156322\\n\",\n \"3 5\\n2 1 608591421 720962564\\n6 2 608591421 641991574\\n3 2 718110706 353409763\\n2 2 482786015 858341723\\n3 2 825397574 357507279\\n\",\n \"2 1\\n2 1 317425595 324125031\\n\",\n \"2027 1\\n20845 28516 904146168 834069176\\n\",\n \"3 1\\n2 1 296600034 932806361\\n\",\n \"50000 1\\n32372 47336 904146168 834069176\\n\",\n \"3 5\\n3 2 2 3\\n1 3 1 1\\n3 2 0 4\\n1 3 2 2\\n1 3 2 1\\n\",\n \"50000 1\\n13213 28516 904146168 834069176\\n\",\n \"4 1\\n2 1 339371166 636156322\\n\",\n \"3 5\\n2 1 608591421 720962564\\n6 2 608591421 641991574\\n3 3 718110706 353409763\\n2 2 482786015 858341723\\n3 2 825397574 357507279\\n\",\n \"2 1\\n2 1 317425595 491281131\\n\",\n \"2027 1\\n38685 28516 904146168 834069176\\n\",\n \"3 1\\n2 1 296600034 891174931\\n\",\n \"3 5\\n3 2 2 3\\n1 1 1 1\\n3 2 0 4\\n1 3 2 2\\n1 3 2 1\\n\",\n \"50000 1\\n22753 28516 904146168 834069176\\n\",\n \"4 1\\n3 1 339371166 636156322\\n\",\n \"3 5\\n2 2 608591421 720962564\\n6 2 608591421 641991574\\n3 3 718110706 353409763\\n2 2 482786015 858341723\\n3 2 825397574 357507279\\n\",\n \"2 1\\n2 1 317425595 570202222\\n\",\n \"2027 1\\n38685 28516 904146168 985170163\\n\",\n \"3 1\\n3 1 296600034 891174931\\n\",\n \"3 5\\n3 2 2 6\\n1 1 1 1\\n3 2 0 4\\n1 3 2 2\\n1 3 2 1\\n\",\n \"50000 1\\n22753 28516 559262839 834069176\\n\",\n \"4 1\\n3 2 339371166 636156322\\n\",\n \"3 5\\n2 2 608591421 720962564\\n6 2 608591421 641991574\\n3 6 718110706 353409763\\n2 2 482786015 858341723\\n3 2 825397574 357507279\\n\",\n \"2 1\\n3 1 317425595 570202222\\n\",\n \"2027 1\\n38685 28516 904146168 1567633875\\n\",\n \"3 5\\n3 2 2 6\\n1 1 1 1\\n3 2 0 8\\n1 3 2 2\\n1 3 2 1\\n\",\n \"50000 1\\n22753 28516 1102158026 834069176\\n\",\n \"4 1\\n3 2 580596711 636156322\\n\",\n \"3 5\\n2 2 620429333 720962564\\n6 2 608591421 641991574\\n3 6 718110706 353409763\\n2 2 482786015 858341723\\n3 2 825397574 357507279\\n\",\n \"2027 1\\n38685 28516 904146168 1313926024\\n\",\n \"3 5\\n3 2 2 6\\n1 1 1 1\\n3 2 0 8\\n1 3 2 2\\n2 3 2 1\\n\",\n \"4 1\\n3 2 527505364 636156322\\n\",\n \"3 5\\n2 2 459716829 720962564\\n6 2 608591421 641991574\\n3 6 718110706 353409763\\n2 2 482786015 858341723\\n3 2 825397574 357507279\\n\",\n \"912 1\\n38685 28516 904146168 1313926024\\n\",\n \"3 5\\n3 2 2 6\\n1 1 1 1\\n3 2 1 8\\n1 3 2 2\\n2 3 2 1\\n\",\n \"4 1\\n3 2 686806284 636156322\\n\",\n \"3 5\\n2 2 459716829 720962564\\n6 2 608591421 641991574\\n3 8 718110706 353409763\\n2 2 482786015 858341723\\n3 2 825397574 357507279\\n\",\n \"912 1\\n38685 28516 904146168 937480121\\n\",\n \"3 5\\n3 2 2 6\\n1 1 1 1\\n3 2 1 0\\n1 3 2 2\\n2 3 2 1\\n\",\n \"3 5\\n2 2 459716829 720962564\\n6 2 608591421 238450740\\n3 8 718110706 353409763\\n2 2 482786015 858341723\\n3 2 825397574 357507279\\n\",\n \"3 5\\n2 1 608591421 720962564\\n3 2 608591421 641991574\\n3 2 718110706 353409763\\n2 3 482786015 858341723\\n3 4 825397574 357507279\\n\",\n \"0 1\\n2 1 317425595 636156322\\n\",\n \"50000 1\\n20845 30752 904146168 997637433\\n\",\n \"3 5\\n3 2 1 3\\n1 3 1 1\\n3 2 1 2\\n1 3 2 2\\n1 3 2 10\\n\",\n \"2 1\\n2 1 180464196 932806361\\n\",\n \"50000 1\\n20845 49826 904146168 834069176\\n\",\n \"3 5\\n3 2 2 3\\n1 3 1 1\\n3 2 1 4\\n1 3 2 2\\n1 3 2 1\\n\",\n \"2 1\\n2 1 538670330 932806361\\n\",\n \"50000 1\\n32372 28516 989320016 834069176\\n\",\n \"3 5\\n3 2 1 3\\n1 3 1 1\\n3 2 1 4\\n1 3 2 2\\n1 5 2 1\\n\",\n \"50000 1\\n38988 28516 478925434 834069176\\n\",\n \"3 5\\n2 1 608591421 720962564\\n3 2 608591421 641991574\\n3 4 718110706 642621413\\n2 3 482786015 858341723\\n3 2 825397574 357507279\\n\",\n \"3 1\\n2 1 339371166 636156322\\n\",\n \"3 5\\n2 1 608591421 720962564\\n6 2 608591421 641991574\\n3 2 718110706 353409763\\n2 2 482786015 858341723\\n3 2 825397574 589419993\\n\",\n \"2 1\\n2 1 85499581 324125031\\n\",\n \"2027 1\\n905 28516 904146168 834069176\\n\",\n \"50000 1\\n19430 47336 904146168 834069176\\n\",\n \"50000 1\\n24991 28516 904146168 834069176\\n\",\n \"3 5\\n2 1 608591421 720962564\\n6 2 608591421 641991574\\n3 3 718110706 673892373\\n2 2 482786015 858341723\\n3 2 825397574 357507279\\n\",\n \"521 1\\n38685 28516 904146168 834069176\\n\",\n \"4 1\\n3 1 296600034 891174931\\n\",\n \"3 5\\n3 2 2 3\\n1 1 1 1\\n3 2 0 4\\n1 4 2 2\\n1 3 2 1\\n\",\n \"7 1\\n3 1 339371166 636156322\\n\",\n \"1144 1\\n38685 28516 904146168 985170163\\n\",\n \"3 1\\n3 1 296600034 25942498\\n\",\n \"5 5\\n3 2 2 6\\n1 1 1 1\\n3 2 0 4\\n1 3 2 2\\n1 3 2 1\\n\",\n \"50000 1\\n42385 28516 559262839 834069176\\n\",\n \"4 1\\n1 2 339371166 636156322\\n\",\n \"3 5\\n2 2 608591421 720962564\\n6 2 608591421 641991574\\n3 6 1312002889 353409763\\n2 2 482786015 858341723\\n3 2 825397574 357507279\\n\",\n \"2 1\\n4 1 317425595 570202222\\n\",\n \"552 1\\n38685 28516 904146168 1567633875\\n\",\n \"3 5\\n3 2 2 6\\n1 1 1 1\\n3 2 0 8\\n1 3 2 1\\n1 3 2 1\\n\",\n \"50000 1\\n22753 28516 301807463 834069176\\n\",\n \"5 1\\n3 2 580596711 636156322\\n\",\n \"2027 1\\n38685 28516 1634940961 1313926024\\n\",\n \"4 1\\n3 2 95201653 636156322\\n\",\n \"3 5\\n2 2 459716829 720962564\\n6 2 608591421 641991574\\n1 6 718110706 353409763\\n2 2 482786015 858341723\\n3 2 825397574 357507279\\n\",\n \"3 5\\n3 2 2 6\\n1 1 1 1\\n6 2 1 8\\n1 3 2 2\\n2 3 2 1\\n\",\n \"4 1\\n3 2 686806284 939779301\\n\",\n \"3 5\\n2 2 459716829 720962564\\n6 2 1054926684 641991574\\n3 8 718110706 353409763\\n2 2 482786015 858341723\\n3 2 825397574 357507279\\n\",\n \"912 1\\n34048 28516 904146168 937480121\\n\",\n \"3 5\\n2 2 459716829 720962564\\n6 2 608591421 238450740\\n3 8 718110706 353409763\\n2 2 482786015 858341723\\n3 4 825397574 357507279\\n\",\n \"3 5\\n2 1 608591421 720962564\\n3 2 608591421 641991574\\n3 2 718110706 353409763\\n2 3 875803605 858341723\\n3 4 825397574 357507279\\n\",\n \"1 1\\n2 1 317425595 636156322\\n\",\n \"50000 1\\n20845 30752 1168611582 997637433\\n\",\n \"10 7\\n2 1 3 7\\n3 1 1 6\\n5 4 1 8\\n4 5 1 1\\n3 2 2 3\\n4 5 3 5\\n2 3 2 4\\n\",\n \"3 5\\n3 2 1 3\\n1 3 1 1\\n3 2 1 4\\n1 3 2 2\\n1 4 2 10\\n\",\n \"2 1\\n2 1 79790599 932806361\\n\",\n \"36050 1\\n20845 49826 904146168 834069176\\n\"\n ],\n \"output\": [\n \"Yes\\n3 2\\n4 5 \",\n \"No\",\n \"Yes\\n641991574 1\\n2 \",\n \"Yes\\n0 0\\n\",\n \"Yes\\n0 0\\n\",\n \"Yes\\n641991574 1\\n2 \\n\",\n \"Yes\\n0 0\\n\\n\",\n \"No\\n\",\n \"Yes\\n3 2\\n4 5 \\n\",\n \"Yes\\n0 0\\n\\n\",\n \"Yes\\n0 0\\n\\n\",\n \"Yes\\n0 0\\n\\n\",\n \"No\\n\",\n \"Yes\\n0 0\\n\\n\",\n \"Yes\\n641991574 1\\n2 \\n\",\n \"Yes\\n0 0\\n\\n\",\n \"No\\n\",\n \"Yes\\n0 0\\n\\n\",\n \"Yes\\n0 0\\n\\n\",\n \"Yes\\n0 0\\n\\n\",\n \"Yes\\n0 0\\n\\n\",\n \"No\\n\",\n \"Yes\\n0 0\\n\\n\",\n \"Yes\\n0 0\\n\\n\",\n \"No\\n\",\n \"Yes\\n0 0\\n\\n\",\n \"Yes\\n0 0\\n\\n\",\n \"Yes\\n0 0\\n\\n\",\n \"No\\n\",\n \"Yes\\n0 0\\n\\n\",\n \"Yes\\n0 0\\n\\n\",\n \"No\\n\",\n \"Yes\\n0 0\\n\\n\",\n \"Yes\\n0 0\\n\\n\",\n \"Yes\\n0 0\\n\\n\",\n \"No\\n\",\n \"Yes\\n0 0\\n\\n\",\n \"Yes\\n0 0\\n\\n\",\n \"No\\n\",\n \"Yes\\n0 0\\n\\n\",\n \"Yes\\n0 0\\n\\n\",\n \"No\\n\",\n \"Yes\\n0 0\\n\\n\",\n \"Yes\\n0 0\\n\\n\",\n \"No\\n\",\n \"Yes\\n0 0\\n\\n\",\n \"No\\n\",\n \"Yes\\n0 0\\n\\n\",\n \"No\\n\",\n \"Yes\\n0 0\\n\\n\",\n \"No\\n\",\n \"Yes\\n0 0\\n\\n\",\n \"No\\n\",\n \"Yes\\n0 0\\n\\n\",\n \"No\\n\",\n \"No\\n\",\n \"Yes\\n641991574 1\\n2 \\n\",\n \"Yes\\n0 0\\n\\n\",\n \"Yes\\n0 0\\n\\n\",\n \"No\\n\",\n \"Yes\\n0 0\\n\\n\",\n \"Yes\\n0 0\\n\\n\",\n \"No\\n\",\n \"Yes\\n0 0\\n\\n\",\n \"Yes\\n0 0\\n\\n\",\n \"No\\n\",\n \"Yes\\n0 0\\n\\n\",\n \"Yes\\n641991574 1\\n2 \\n\",\n \"Yes\\n0 0\\n\\n\",\n \"No\\n\",\n \"Yes\\n0 0\\n\\n\",\n \"Yes\\n0 0\\n\\n\",\n \"Yes\\n0 0\\n\\n\",\n \"Yes\\n0 0\\n\\n\",\n \"No\\n\",\n \"Yes\\n0 0\\n\\n\",\n \"Yes\\n0 0\\n\\n\",\n \"No\\n\",\n \"Yes\\n0 0\\n\\n\",\n \"Yes\\n0 0\\n\\n\",\n \"Yes\\n0 0\\n\\n\",\n \"No\\n\",\n \"Yes\\n0 0\\n\\n\",\n \"Yes\\n0 0\\n\\n\",\n \"No\\n\",\n \"Yes\\n0 0\\n\\n\",\n \"Yes\\n0 0\\n\\n\",\n \"No\\n\",\n \"Yes\\n0 0\\n\\n\",\n \"Yes\\n0 0\\n\\n\",\n \"Yes\\n0 0\\n\\n\",\n \"Yes\\n0 0\\n\\n\",\n \"No\\n\",\n \"No\\n\",\n \"Yes\\n0 0\\n\\n\",\n \"No\\n\",\n \"Yes\\n0 0\\n\\n\",\n \"No\\n\",\n \"Yes\\n641991574 1\\n2 \\n\",\n \"Yes\\n0 0\\n\\n\",\n \"Yes\\n0 0\\n\\n\",\n \"Yes\\n3 2\\n4 5 \\n\",\n \"No\\n\",\n \"Yes\\n0 0\\n\\n\",\n \"Yes\\n0 0\\n\\n\"\n ]\n}"},"source":{"kind":"class label","value":"2","name":"CODEFORCES"}}},{"rowIdx":38289,"cells":{"id":{"kind":"string","value":"610_C. Harmony Analysis_38289"},"description":{"kind":"string","value":"The semester is already ending, so Danil made an effort and decided to visit a lesson on harmony analysis to know how does the professor look like, at least. Danil was very bored on this lesson until the teacher gave the group a simple task: find 4 vectors in 4-dimensional space, such that every coordinate of every vector is 1 or - 1 and any two vectors are orthogonal. Just as a reminder, two vectors in n-dimensional space are considered to be orthogonal if and only if their scalar product is equal to zero, that is: \n\n.\n\nDanil quickly managed to come up with the solution for this problem and the teacher noticed that the problem can be solved in a more general case for 2k vectors in 2k-dimensinoal space. When Danil came home, he quickly came up with the solution for this problem. Can you cope with it?\n\nInput\n\nThe only line of the input contains a single integer k (0 ≤ k ≤ 9).\n\nOutput\n\nPrint 2k lines consisting of 2k characters each. The j-th character of the i-th line must be equal to ' * ' if the j-th coordinate of the i-th vector is equal to - 1, and must be equal to ' + ' if it's equal to + 1. It's guaranteed that the answer always exists.\n\nIf there are many correct answers, print any.\n\nExamples\n\nInput\n\n2\n\n\nOutput\n\n++**\n+*+*\n++++\n+**+\n\nNote\n\nConsider all scalar products in example:\n\n * Vectors 1 and 2: ( + 1)·( + 1) + ( + 1)·( - 1) + ( - 1)·( + 1) + ( - 1)·( - 1) = 0\n * Vectors 1 and 3: ( + 1)·( + 1) + ( + 1)·( + 1) + ( - 1)·( + 1) + ( - 1)·( + 1) = 0\n * Vectors 1 and 4: ( + 1)·( + 1) + ( + 1)·( - 1) + ( - 1)·( - 1) + ( - 1)·( + 1) = 0\n * Vectors 2 and 3: ( + 1)·( + 1) + ( - 1)·( + 1) + ( + 1)·( + 1) + ( - 1)·( + 1) = 0\n * Vectors 2 and 4: ( + 1)·( + 1) + ( - 1)·( - 1) + ( + 1)·( - 1) + ( - 1)·( + 1) = 0\n * Vectors 3 and 4: ( + 1)·( + 1) + ( + 1)·( - 1) + ( + 1)·( - 1) + ( + 1)·( + 1) = 0"},"code":{"kind":"string","value":"import string\n\ndef trans(s):\n return s.translate(string.maketrans(\"+*\", \"*+\")) \n\ndef orthogonal(s, n):\n if n == 0:\n print s\n else:\n orthogonal(s+s, n-1)\n orthogonal(s+trans(s), n-1)\n\nk = input()\nif k == 0:\n print \"+\"\nelse:\n orthogonal(\"+\", k)"},"language":{"kind":"class label","value":"1","name":"Python2"},"test_samples":{"kind":"string","value":"{\n \"input\": [\n \"2\\n\",\n \"2\\n\",\n \"4\\n\",\n \"1\\n\",\n \"5\\n\",\n \"7\\n\",\n \"8\\n\",\n \"6\\n\",\n \"0\\n\",\n \"3\\n\"\n ],\n \"output\": [\n \"++++\\n+*+*\\n++**\\n+**+\\n\",\n \"++++\\n+*+*\\n++**\\n+**+\\n\",\n \"++++++++++++++++\\n+*+*+*+*+*+*+*+*\\n++**++**++**++**\\n+**++**++**++**+\\n++++****++++****\\n+*+**+*++*+**+*+\\n++****++++****++\\n+**+*++*+**+*++*\\n++++++++********\\n+*+*+*+**+*+*+*+\\n++**++****++**++\\n+**++**+*++**++*\\n++++********++++\\n+*+**+*+*+*++*+*\\n++****++**++++**\\n+**+*++**++*+**+\\n\",\n \"++\\n+*\\n\",\n 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\"+\\n\",\n \"++++++++\\n+*+*+*+*\\n++**++**\\n+**++**+\\n++++****\\n+*+**+*+\\n++****++\\n+**+*++*\\n\"\n ]\n}"},"source":{"kind":"class label","value":"2","name":"CODEFORCES"}}},{"rowIdx":38290,"cells":{"id":{"kind":"string","value":"610_C. Harmony Analysis_38290"},"description":{"kind":"string","value":"The semester is already ending, so Danil made an effort and decided to visit a lesson on harmony analysis to know how does the professor look like, at least. Danil was very bored on this lesson until the teacher gave the group a simple task: find 4 vectors in 4-dimensional space, such that every coordinate of every vector is 1 or - 1 and any two vectors are orthogonal. Just as a reminder, two vectors in n-dimensional space are considered to be orthogonal if and only if their scalar product is equal to zero, that is: \n\n.\n\nDanil quickly managed to come up with the solution for this problem and the teacher noticed that the problem can be solved in a more general case for 2k vectors in 2k-dimensinoal space. When Danil came home, he quickly came up with the solution for this problem. Can you cope with it?\n\nInput\n\nThe only line of the input contains a single integer k (0 ≤ k ≤ 9).\n\nOutput\n\nPrint 2k lines consisting of 2k characters each. The j-th character of the i-th line must be equal to ' * ' if the j-th coordinate of the i-th vector is equal to - 1, and must be equal to ' + ' if it's equal to + 1. It's guaranteed that the answer always exists.\n\nIf there are many correct answers, print any.\n\nExamples\n\nInput\n\n2\n\n\nOutput\n\n++**\n+*+*\n++++\n+**+\n\nNote\n\nConsider all scalar products in example:\n\n * Vectors 1 and 2: ( + 1)·( + 1) + ( + 1)·( - 1) + ( - 1)·( + 1) + ( - 1)·( - 1) = 0\n * Vectors 1 and 3: ( + 1)·( + 1) + ( + 1)·( + 1) + ( - 1)·( + 1) + ( - 1)·( + 1) = 0\n * Vectors 1 and 4: ( + 1)·( + 1) + ( + 1)·( - 1) + ( - 1)·( - 1) + ( - 1)·( + 1) = 0\n * Vectors 2 and 3: ( + 1)·( + 1) + ( - 1)·( + 1) + ( + 1)·( + 1) + ( - 1)·( + 1) = 0\n * Vectors 2 and 4: ( + 1)·( + 1) + ( - 1)·( - 1) + ( + 1)·( - 1) + ( - 1)·( + 1) = 0\n * Vectors 3 and 4: ( + 1)·( + 1) + ( + 1)·( - 1) + ( + 1)·( - 1) + ( + 1)·( + 1) = 0"},"code":{"kind":"string","value":"#include \nusing namespace std;\nbool mask[1006][1006];\nvoid gen(int x) {\n int dl = (1 << (x - 1));\n for (int i = 0; i < dl; i++)\n for (int j = 0; j < dl; j++) {\n mask[i + dl][j] = mask[i][j];\n mask[i][j + dl] = mask[i][j];\n mask[i + dl][j + dl] = !mask[i][j];\n }\n}\nvoid wypisz(int k) {\n for (int i = 0; i < (1 << k); i++) {\n for (int j = 0; j < (1 << k); j++)\n if (mask[i][j])\n printf(\"+\");\n else\n printf(\"*\");\n puts(\"\");\n }\n}\nint main() {\n int k;\n scanf(\"%d\", &k);\n mask[0][0] = true;\n for (int i = 1; i <= k; i++) gen(i);\n wypisz(k);\n return 0;\n}\n"},"language":{"kind":"class label","value":"2","name":"C++"},"test_samples":{"kind":"string","value":"{\n \"input\": [\n \"2\\n\",\n \"2\\n\",\n \"4\\n\",\n \"1\\n\",\n \"5\\n\",\n \"7\\n\",\n \"8\\n\",\n \"6\\n\",\n \"0\\n\",\n \"3\\n\"\n ],\n \"output\": [\n \"++++\\n+*+*\\n++**\\n+**+\\n\",\n \"++++\\n+*+*\\n++**\\n+**+\\n\",\n 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\"+\\n\",\n \"++++++++\\n+*+*+*+*\\n++**++**\\n+**++**+\\n++++****\\n+*+**+*+\\n++****++\\n+**+*++*\\n\"\n ]\n}"},"source":{"kind":"class label","value":"2","name":"CODEFORCES"}}},{"rowIdx":38291,"cells":{"id":{"kind":"string","value":"610_C. Harmony Analysis_38291"},"description":{"kind":"string","value":"The semester is already ending, so Danil made an effort and decided to visit a lesson on harmony analysis to know how does the professor look like, at least. Danil was very bored on this lesson until the teacher gave the group a simple task: find 4 vectors in 4-dimensional space, such that every coordinate of every vector is 1 or - 1 and any two vectors are orthogonal. Just as a reminder, two vectors in n-dimensional space are considered to be orthogonal if and only if their scalar product is equal to zero, that is: \n\n.\n\nDanil quickly managed to come up with the solution for this problem and the teacher noticed that the problem can be solved in a more general case for 2k vectors in 2k-dimensinoal space. When Danil came home, he quickly came up with the solution for this problem. Can you cope with it?\n\nInput\n\nThe only line of the input contains a single integer k (0 ≤ k ≤ 9).\n\nOutput\n\nPrint 2k lines consisting of 2k characters each. The j-th character of the i-th line must be equal to ' * ' if the j-th coordinate of the i-th vector is equal to - 1, and must be equal to ' + ' if it's equal to + 1. It's guaranteed that the answer always exists.\n\nIf there are many correct answers, print any.\n\nExamples\n\nInput\n\n2\n\n\nOutput\n\n++**\n+*+*\n++++\n+**+\n\nNote\n\nConsider all scalar products in example:\n\n * Vectors 1 and 2: ( + 1)·( + 1) + ( + 1)·( - 1) + ( - 1)·( + 1) + ( - 1)·( - 1) = 0\n * Vectors 1 and 3: ( + 1)·( + 1) + ( + 1)·( + 1) + ( - 1)·( + 1) + ( - 1)·( + 1) = 0\n * Vectors 1 and 4: ( + 1)·( + 1) + ( + 1)·( - 1) + ( - 1)·( - 1) + ( - 1)·( + 1) = 0\n * Vectors 2 and 3: ( + 1)·( + 1) + ( - 1)·( + 1) + ( + 1)·( + 1) + ( - 1)·( + 1) = 0\n * Vectors 2 and 4: ( + 1)·( + 1) + ( - 1)·( - 1) + ( + 1)·( - 1) + ( - 1)·( + 1) = 0\n * Vectors 3 and 4: ( + 1)·( + 1) + ( + 1)·( - 1) + ( + 1)·( - 1) + ( + 1)·( + 1) = 0"},"code":{"kind":"string","value":"p = [[0]]\nfor i in range(int(input())):\n p = [t + t for t in p] + [[1 - q for q in t] + t for t in p]\nfor t in p: print(''.join('+*'[q] for q in t))"},"language":{"kind":"class 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\"+\\n\",\n \"++++++++\\n+*+*+*+*\\n++**++**\\n+**++**+\\n++++****\\n+*+**+*+\\n++****++\\n+**+*++*\\n\"\n ]\n}"},"source":{"kind":"class label","value":"2","name":"CODEFORCES"}}},{"rowIdx":38292,"cells":{"id":{"kind":"string","value":"610_C. Harmony Analysis_38292"},"description":{"kind":"string","value":"The semester is already ending, so Danil made an effort and decided to visit a lesson on harmony analysis to know how does the professor look like, at least. Danil was very bored on this lesson until the teacher gave the group a simple task: find 4 vectors in 4-dimensional space, such that every coordinate of every vector is 1 or - 1 and any two vectors are orthogonal. Just as a reminder, two vectors in n-dimensional space are considered to be orthogonal if and only if their scalar product is equal to zero, that is: \n\n.\n\nDanil quickly managed to come up with the solution for this problem and the teacher noticed that the problem can be solved in a more general case for 2k vectors in 2k-dimensinoal space. When Danil came home, he quickly came up with the solution for this problem. Can you cope with it?\n\nInput\n\nThe only line of the input contains a single integer k (0 ≤ k ≤ 9).\n\nOutput\n\nPrint 2k lines consisting of 2k characters each. The j-th character of the i-th line must be equal to ' * ' if the j-th coordinate of the i-th vector is equal to - 1, and must be equal to ' + ' if it's equal to + 1. It's guaranteed that the answer always exists.\n\nIf there are many correct answers, print any.\n\nExamples\n\nInput\n\n2\n\n\nOutput\n\n++**\n+*+*\n++++\n+**+\n\nNote\n\nConsider all scalar products in example:\n\n * Vectors 1 and 2: ( + 1)·( + 1) + ( + 1)·( - 1) + ( - 1)·( + 1) + ( - 1)·( - 1) = 0\n * Vectors 1 and 3: ( + 1)·( + 1) + ( + 1)·( + 1) + ( - 1)·( + 1) + ( - 1)·( + 1) = 0\n * Vectors 1 and 4: ( + 1)·( + 1) + ( + 1)·( - 1) + ( - 1)·( - 1) + ( - 1)·( + 1) = 0\n * Vectors 2 and 3: ( + 1)·( + 1) + ( - 1)·( + 1) + ( + 1)·( + 1) + ( - 1)·( + 1) = 0\n * Vectors 2 and 4: ( + 1)·( + 1) + ( - 1)·( - 1) + ( + 1)·( - 1) + ( - 1)·( + 1) = 0\n * Vectors 3 and 4: ( + 1)·( + 1) + ( + 1)·( - 1) + ( + 1)·( - 1) + ( + 1)·( + 1) = 0"},"code":{"kind":"string","value":"import java.io.OutputStream;\nimport java.io.IOException;\nimport java.io.InputStream;\nimport java.io.OutputStream;\nimport java.io.PrintWriter;\nimport java.util.StringTokenizer;\nimport java.io.Writer;\nimport java.io.IOException;\nimport java.io.BufferedReader;\nimport java.io.InputStreamReader;\nimport java.io.InputStream;\n\n/**\n * Built using CHelper plug-in\n * Actual solution is at the top\n *\n * @author whhone\n */\npublic class Main {\n public static void main(String[] args) {\n InputStream inputStream = System.in;\n OutputStream outputStream = System.out;\n InputReader in = new InputReader(inputStream);\n OutputWriter out = new OutputWriter(outputStream);\n TaskC solver = new TaskC();\n solver.solve(1, in, out);\n out.close();\n }\n\n static class TaskC {\n int[][] make(int k) {\n if (k == 0) {\n int[][] A = new int[1][1];\n A[0][0] = 1;\n return A;\n }\n int[][] a = make(k - 1);\n int N = a.length;\n int[][] A = new int[N * 2][N * 2];\n\n for (int i = 0; i < N; ++i) {\n for (int j = 0; j < N; ++j) {\n A[i][2 * j] = A[i][2 * j + 1] = a[i][j];\n }\n }\n for (int i = 0; i < N; ++i) {\n for (int j = 0; j < N; ++j) {\n A[i + N][2 * j] = a[i][j];\n A[i + N][2 * j + 1] = -a[i][j];\n }\n }\n return A;\n }\n\n public void solve(int testNumber, InputReader in, OutputWriter out) {\n int[][] ans = make(in.nextInt());\n for (int i = 0; i < ans.length; ++i) {\n for (int j = 0; j < ans.length; ++j) {\n if (ans[i][j] == 1) out.print(\"+\");\n else out.print(\"*\");\n }\n out.println();\n }\n }\n\n }\n\n static class OutputWriter extends PrintWriter {\n public OutputWriter(OutputStream stream) {\n super(stream);\n }\n\n public OutputWriter(Writer writer) {\n super(writer);\n }\n\n }\n\n static class InputReader {\n public BufferedReader reader;\n public StringTokenizer tokenizer;\n\n public InputReader(InputStream stream) {\n reader = new BufferedReader(new InputStreamReader(stream), 65536);\n tokenizer = null;\n }\n\n public String nextLine() {\n try {\n return reader.readLine();\n } catch (IOException e) {\n throw new RuntimeException(e);\n }\n }\n\n public String next() {\n while (tokenizer == null || !tokenizer.hasMoreTokens()) {\n tokenizer = new StringTokenizer(nextLine());\n }\n return tokenizer.nextToken();\n }\n\n public int nextInt() {\n return Integer.parseInt(next());\n }\n\n }\n}\n\n"},"language":{"kind":"class label","value":"4","name":"JAVA"},"test_samples":{"kind":"string","value":"{\n \"input\": [\n \"2\\n\",\n \"2\\n\",\n \"4\\n\",\n \"1\\n\",\n \"5\\n\",\n \"7\\n\",\n \"8\\n\",\n \"6\\n\",\n \"0\\n\",\n \"3\\n\"\n ],\n \"output\": [\n \"++++\\n+*+*\\n++**\\n+**+\\n\",\n \"++++\\n+*+*\\n++**\\n+**+\\n\",\n \"++++++++++++++++\\n+*+*+*+*+*+*+*+*\\n++**++**++**++**\\n+**++**++**++**+\\n++++****++++****\\n+*+**+*++*+**+*+\\n++****++++****++\\n+**+*++*+**+*++*\\n++++++++********\\n+*+*+*+**+*+*+*+\\n++**++****++**++\\n+**++**+*++**++*\\n++++********++++\\n+*+**+*+*+*++*+*\\n++****++**++++**\\n+**+*++**++*+**+\\n\",\n \"++\\n+*\\n\",\n 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Turn_38293"},"description":{"kind":"string","value":"Vasya started working in a machine vision company of IT City. Vasya's team creates software and hardware for identification of people by their face.\n\nOne of the project's know-how is a camera rotating around its optical axis on shooting. People see an eye-catching gadget — a rotating camera — come up to it to see it better, look into it. And the camera takes their photo at that time. What could be better for high quality identification?\n\nBut not everything is so simple. The pictures from camera appear rotated too (on clockwise camera rotation frame the content becomes rotated counter-clockwise). But the identification algorithm can work only with faces that are just slightly deviated from vertical.\n\nVasya was entrusted to correct the situation — to rotate a captured image so that image would be minimally deviated from vertical. Requirements were severe. Firstly, the picture should be rotated only on angle divisible by 90 degrees to not lose a bit of information about the image. Secondly, the frames from the camera are so huge and FPS is so big that adequate rotation speed is provided by hardware FPGA solution only. And this solution can rotate only by 90 degrees clockwise. Of course, one can apply 90 degrees turn several times but for the sake of performance the number of turns should be minimized.\n\nHelp Vasya implement the program that by the given rotation angle of the camera can determine the minimum number of 90 degrees clockwise turns necessary to get a picture in which up direction deviation from vertical is minimum.\n\nThe next figure contains frames taken from an unrotated camera, then from rotated 90 degrees clockwise, then from rotated 90 degrees counter-clockwise. Arrows show direction to \"true up\".\n\n\n\nThe next figure shows 90 degrees clockwise turn by FPGA hardware.\n\n\n\nInput\n\nThe only line of the input contains one integer x ( - 1018 ≤ x ≤ 1018) — camera angle in degrees. Positive value denotes clockwise camera rotation, negative — counter-clockwise.\n\nOutput\n\nOutput one integer — the minimum required number of 90 degrees clockwise turns.\n\nExamples\n\nInput\n\n60\n\n\nOutput\n\n1\n\n\nInput\n\n-60\n\n\nOutput\n\n3\n\nNote\n\nWhen the camera is rotated 60 degrees counter-clockwise (the second example), an image from it is rotated 60 degrees clockwise. One 90 degrees clockwise turn of the image result in 150 degrees clockwise total rotation and deviation from \"true up\" for one turn is 150 degrees. Two 90 degrees clockwise turns of the image result in 240 degrees clockwise total rotation and deviation from \"true up\" for two turns is 120 degrees because 240 degrees clockwise equal to 120 degrees counter-clockwise. Three 90 degrees clockwise turns of the image result in 330 degrees clockwise total rotation and deviation from \"true up\" for three turns is 30 degrees because 330 degrees clockwise equal to 30 degrees counter-clockwise.\n\nFrom 60, 150, 120 and 30 degrees deviations the smallest is 30, and it it achieved in three 90 degrees clockwise turns."},"code":{"kind":"string","value":"a=input()\na=(a%360 + 360)%360\na=(a+44)%360\nprint (a%359) / 90\n"},"language":{"kind":"class label","value":"1","name":"Python2"},"test_samples":{"kind":"string","value":"{\n \"input\": [\n \"-60\\n\",\n \"60\\n\",\n \"6678504591813508\\n\",\n \"44\\n\",\n \"225\\n\",\n \"-45\\n\",\n \"-358\\n\",\n \"46\\n\",\n \"-999999999999999415\\n\",\n \"-999999999999999639\\n\",\n \"-44\\n\",\n \"-999999999999999325\\n\",\n \"999999999999999326\\n\",\n \"316\\n\",\n \"359\\n\",\n \"999999999999999416\\n\",\n \"-135\\n\",\n \"999999999999999639\\n\",\n \"-316\\n\",\n \"-314\\n\",\n \"-313\\n\",\n \"134\\n\",\n \"0\\n\",\n 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Turn_38294"},"description":{"kind":"string","value":"Vasya started working in a machine vision company of IT City. Vasya's team creates software and hardware for identification of people by their face.\n\nOne of the project's know-how is a camera rotating around its optical axis on shooting. People see an eye-catching gadget — a rotating camera — come up to it to see it better, look into it. And the camera takes their photo at that time. What could be better for high quality identification?\n\nBut not everything is so simple. The pictures from camera appear rotated too (on clockwise camera rotation frame the content becomes rotated counter-clockwise). But the identification algorithm can work only with faces that are just slightly deviated from vertical.\n\nVasya was entrusted to correct the situation — to rotate a captured image so that image would be minimally deviated from vertical. Requirements were severe. Firstly, the picture should be rotated only on angle divisible by 90 degrees to not lose a bit of information about the image. Secondly, the frames from the camera are so huge and FPS is so big that adequate rotation speed is provided by hardware FPGA solution only. And this solution can rotate only by 90 degrees clockwise. Of course, one can apply 90 degrees turn several times but for the sake of performance the number of turns should be minimized.\n\nHelp Vasya implement the program that by the given rotation angle of the camera can determine the minimum number of 90 degrees clockwise turns necessary to get a picture in which up direction deviation from vertical is minimum.\n\nThe next figure contains frames taken from an unrotated camera, then from rotated 90 degrees clockwise, then from rotated 90 degrees counter-clockwise. Arrows show direction to \"true up\".\n\n\n\nThe next figure shows 90 degrees clockwise turn by FPGA hardware.\n\n\n\nInput\n\nThe only line of the input contains one integer x ( - 1018 ≤ x ≤ 1018) — camera angle in degrees. Positive value denotes clockwise camera rotation, negative — counter-clockwise.\n\nOutput\n\nOutput one integer — the minimum required number of 90 degrees clockwise turns.\n\nExamples\n\nInput\n\n60\n\n\nOutput\n\n1\n\n\nInput\n\n-60\n\n\nOutput\n\n3\n\nNote\n\nWhen the camera is rotated 60 degrees counter-clockwise (the second example), an image from it is rotated 60 degrees clockwise. One 90 degrees clockwise turn of the image result in 150 degrees clockwise total rotation and deviation from \"true up\" for one turn is 150 degrees. Two 90 degrees clockwise turns of the image result in 240 degrees clockwise total rotation and deviation from \"true up\" for two turns is 120 degrees because 240 degrees clockwise equal to 120 degrees counter-clockwise. Three 90 degrees clockwise turns of the image result in 330 degrees clockwise total rotation and deviation from \"true up\" for three turns is 30 degrees because 330 degrees clockwise equal to 30 degrees counter-clockwise.\n\nFrom 60, 150, 120 and 30 degrees deviations the smallest is 30, and it it achieved in three 90 degrees clockwise turns."},"code":{"kind":"string","value":"#include \nusing namespace std;\nint main() {\n long long int deg;\n cin >> deg;\n deg %= 360;\n long long int ans[4];\n ans[0] = deg;\n for (int i = 1; i < 4; i++) ans[i] = ((ans[i - 1] - 90)) % 360;\n for (int i = 0; i < 4; i++) ans[i] = abs(ans[i]);\n for (int i = 0; i < 4; i++)\n if (ans[i] > 180) ans[i] = 360 - ans[i];\n int mini = 360;\n int k = -1;\n for (int i = 0; i < 4; i++)\n if (ans[i] < mini) {\n mini = ans[i];\n k = i;\n }\n cout << k;\n}\n"},"language":{"kind":"class label","value":"2","name":"C++"},"test_samples":{"kind":"string","value":"{\n \"input\": [\n \"-60\\n\",\n \"60\\n\",\n \"6678504591813508\\n\",\n \"44\\n\",\n \"225\\n\",\n \"-45\\n\",\n \"-358\\n\",\n \"46\\n\",\n \"-999999999999999415\\n\",\n \"-999999999999999639\\n\",\n \"-44\\n\",\n \"-999999999999999325\\n\",\n \"999999999999999326\\n\",\n \"316\\n\",\n \"359\\n\",\n \"999999999999999416\\n\",\n \"-135\\n\",\n \"999999999999999639\\n\",\n \"-316\\n\",\n \"-314\\n\",\n \"-313\\n\",\n \"134\\n\",\n \"0\\n\",\n \"-226\\n\",\n \"999999999999999596\\n\",\n \"-999999999999999640\\n\",\n \"999999999999999640\\n\",\n \"227\\n\",\n \"313\\n\",\n \"999999999999999505\\n\",\n \"-360\\n\",\n \"479865961765156498\\n\",\n \"-201035370138545377\\n\",\n \"-999999999999999326\\n\",\n \"-136\\n\",\n \"-999999999999999506\\n\",\n \"999999999999999504\\n\",\n \"314\\n\",\n \"-46\\n\",\n \"441505850043460771\\n\",\n \"999999999999999595\\n\",\n \"136\\n\",\n \"999999999999999340\\n\",\n \"-999999999999999416\\n\",\n \"272028913373922389\\n\",\n \"-224\\n\",\n \"201035370138545377\\n\",\n \"358\\n\",\n \"-441505850043460771\\n\",\n \"141460527912396122\\n\",\n \"-272028913373922389\\n\",\n \"135\\n\",\n \"-999999999999999594\\n\",\n \"252890591709237675\\n\",\n \"-227\\n\",\n \"-999999999999999505\\n\",\n \"-479865961765156498\\n\",\n \"-999999999999999596\\n\",\n \"999999999999999506\\n\",\n \"45\\n\",\n \"226\\n\",\n \"-999999999999999595\\n\",\n \"224\\n\",\n \"-359\\n\",\n \"999999999999999415\\n\",\n \"999999999999999594\\n\",\n \"315\\n\",\n \"-361\\n\",\n \"999999999999999325\\n\",\n \"-999999999999999504\\n\",\n \"361\\n\",\n \"-225\\n\",\n \"-999999999999999340\\n\",\n \"360\\n\",\n \"-6678504591813508\\n\",\n \"-315\\n\",\n \"-141460527912396122\\n\",\n \"-252890591709237675\\n\",\n \"-134\\n\",\n \"2944906229956001\\n\",\n \"251\\n\",\n \"-504\\n\",\n \"65\\n\",\n \"6\\n\",\n \"-35\\n\",\n \"-477564621877249879\\n\",\n \"-731911479516817236\\n\",\n \"-77\\n\",\n \"-855339415526476122\\n\",\n \"1723388402989387964\\n\",\n \"596\\n\",\n \"33\\n\",\n 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\"1\\n\",\n \"0\\n\",\n \"3\\n\",\n \"3\\n\"\n ]\n}"},"source":{"kind":"class label","value":"2","name":"CODEFORCES"}}},{"rowIdx":38295,"cells":{"id":{"kind":"string","value":"630_M. Turn_38295"},"description":{"kind":"string","value":"Vasya started working in a machine vision company of IT City. Vasya's team creates software and hardware for identification of people by their face.\n\nOne of the project's know-how is a camera rotating around its optical axis on shooting. People see an eye-catching gadget — a rotating camera — come up to it to see it better, look into it. And the camera takes their photo at that time. What could be better for high quality identification?\n\nBut not everything is so simple. The pictures from camera appear rotated too (on clockwise camera rotation frame the content becomes rotated counter-clockwise). But the identification algorithm can work only with faces that are just slightly deviated from vertical.\n\nVasya was entrusted to correct the situation — to rotate a captured image so that image would be minimally deviated from vertical. Requirements were severe. Firstly, the picture should be rotated only on angle divisible by 90 degrees to not lose a bit of information about the image. Secondly, the frames from the camera are so huge and FPS is so big that adequate rotation speed is provided by hardware FPGA solution only. And this solution can rotate only by 90 degrees clockwise. Of course, one can apply 90 degrees turn several times but for the sake of performance the number of turns should be minimized.\n\nHelp Vasya implement the program that by the given rotation angle of the camera can determine the minimum number of 90 degrees clockwise turns necessary to get a picture in which up direction deviation from vertical is minimum.\n\nThe next figure contains frames taken from an unrotated camera, then from rotated 90 degrees clockwise, then from rotated 90 degrees counter-clockwise. Arrows show direction to \"true up\".\n\n\n\nThe next figure shows 90 degrees clockwise turn by FPGA hardware.\n\n\n\nInput\n\nThe only line of the input contains one integer x ( - 1018 ≤ x ≤ 1018) — camera angle in degrees. Positive value denotes clockwise camera rotation, negative — counter-clockwise.\n\nOutput\n\nOutput one integer — the minimum required number of 90 degrees clockwise turns.\n\nExamples\n\nInput\n\n60\n\n\nOutput\n\n1\n\n\nInput\n\n-60\n\n\nOutput\n\n3\n\nNote\n\nWhen the camera is rotated 60 degrees counter-clockwise (the second example), an image from it is rotated 60 degrees clockwise. One 90 degrees clockwise turn of the image result in 150 degrees clockwise total rotation and deviation from \"true up\" for one turn is 150 degrees. Two 90 degrees clockwise turns of the image result in 240 degrees clockwise total rotation and deviation from \"true up\" for two turns is 120 degrees because 240 degrees clockwise equal to 120 degrees counter-clockwise. Three 90 degrees clockwise turns of the image result in 330 degrees clockwise total rotation and deviation from \"true up\" for three turns is 30 degrees because 330 degrees clockwise equal to 30 degrees counter-clockwise.\n\nFrom 60, 150, 120 and 30 degrees deviations the smallest is 30, and it it achieved in three 90 degrees clockwise turns."},"code":{"kind":"string","value":"import math, re, sys, string, operator, functools, fractions, collections\nsys.setrecursionlimit(10**7)\ndX= [-1, 1, 0, 0,-1, 1,-1, 1]\ndY= [ 0, 0,-1, 1, 1,-1,-1, 1]\nRI=lambda x=' ': list(map(int,input().split(x)))\nRS=lambda x=' ': input().rstrip().split(x)\nmod=int(1e9+7)\neps=1e-6\n#################################################\nx=RI()[0]\nx%=360\nif x>180:\n x=x-360\nans=0\nval=abs(x)\nfor i in range(1,4):\n x-=90\n if x<-180:\n x=360+x\n if abs(x)\n\nThe next figure shows 90 degrees clockwise turn by FPGA hardware.\n\n\n\nInput\n\nThe only line of the input contains one integer x ( - 1018 ≤ x ≤ 1018) — camera angle in degrees. Positive value denotes clockwise camera rotation, negative — counter-clockwise.\n\nOutput\n\nOutput one integer — the minimum required number of 90 degrees clockwise turns.\n\nExamples\n\nInput\n\n60\n\n\nOutput\n\n1\n\n\nInput\n\n-60\n\n\nOutput\n\n3\n\nNote\n\nWhen the camera is rotated 60 degrees counter-clockwise (the second example), an image from it is rotated 60 degrees clockwise. One 90 degrees clockwise turn of the image result in 150 degrees clockwise total rotation and deviation from \"true up\" for one turn is 150 degrees. Two 90 degrees clockwise turns of the image result in 240 degrees clockwise total rotation and deviation from \"true up\" for two turns is 120 degrees because 240 degrees clockwise equal to 120 degrees counter-clockwise. Three 90 degrees clockwise turns of the image result in 330 degrees clockwise total rotation and deviation from \"true up\" for three turns is 30 degrees because 330 degrees clockwise equal to 30 degrees counter-clockwise.\n\nFrom 60, 150, 120 and 30 degrees deviations the smallest is 30, and it it achieved in three 90 degrees clockwise turns."},"code":{"kind":"string","value":"import java.util.*;\npublic class CodeForces\n{\n \n public static void main(String[] args)\n\t{\n \n Scanner in = new Scanner(System.in);\n long angle = in.nextLong();\n if(angle < 0 ) angle = 360 - (Math.abs(angle)%360);\n else angle = angle%360;\n \n if(angle == 0 || angle == 360) System.out.println(0);\n else if( angle <= 45 || angle >= 315) System.out.println(0);\n else if( angle <= 135) System.out.println(1);\n else if( angle <= 225) System.out.println(2);\n else if( angle < 315) System.out.println(3);\n }\n\n}"},"language":{"kind":"class label","value":"4","name":"JAVA"},"test_samples":{"kind":"string","value":"{\n \"input\": [\n \"-60\\n\",\n \"60\\n\",\n \"6678504591813508\\n\",\n \"44\\n\",\n \"225\\n\",\n \"-45\\n\",\n \"-358\\n\",\n \"46\\n\",\n \"-999999999999999415\\n\",\n \"-999999999999999639\\n\",\n \"-44\\n\",\n \"-999999999999999325\\n\",\n \"999999999999999326\\n\",\n \"316\\n\",\n \"359\\n\",\n \"999999999999999416\\n\",\n \"-135\\n\",\n \"999999999999999639\\n\",\n \"-316\\n\",\n \"-314\\n\",\n \"-313\\n\",\n \"134\\n\",\n \"0\\n\",\n \"-226\\n\",\n \"999999999999999596\\n\",\n \"-999999999999999640\\n\",\n \"999999999999999640\\n\",\n \"227\\n\",\n \"313\\n\",\n \"999999999999999505\\n\",\n \"-360\\n\",\n \"479865961765156498\\n\",\n \"-201035370138545377\\n\",\n \"-999999999999999326\\n\",\n \"-136\\n\",\n \"-999999999999999506\\n\",\n \"999999999999999504\\n\",\n \"314\\n\",\n \"-46\\n\",\n \"441505850043460771\\n\",\n \"999999999999999595\\n\",\n \"136\\n\",\n \"999999999999999340\\n\",\n \"-999999999999999416\\n\",\n \"272028913373922389\\n\",\n \"-224\\n\",\n \"201035370138545377\\n\",\n \"358\\n\",\n \"-441505850043460771\\n\",\n \"141460527912396122\\n\",\n \"-272028913373922389\\n\",\n \"135\\n\",\n \"-999999999999999594\\n\",\n \"252890591709237675\\n\",\n \"-227\\n\",\n \"-999999999999999505\\n\",\n \"-479865961765156498\\n\",\n \"-999999999999999596\\n\",\n \"999999999999999506\\n\",\n \"45\\n\",\n \"226\\n\",\n \"-999999999999999595\\n\",\n \"224\\n\",\n \"-359\\n\",\n \"999999999999999415\\n\",\n \"999999999999999594\\n\",\n \"315\\n\",\n \"-361\\n\",\n \"999999999999999325\\n\",\n \"-999999999999999504\\n\",\n \"361\\n\",\n \"-225\\n\",\n \"-999999999999999340\\n\",\n \"360\\n\",\n \"-6678504591813508\\n\",\n \"-315\\n\",\n \"-141460527912396122\\n\",\n \"-252890591709237675\\n\",\n \"-134\\n\",\n \"2944906229956001\\n\",\n \"251\\n\",\n \"-504\\n\",\n \"65\\n\",\n \"6\\n\",\n \"-35\\n\",\n \"-477564621877249879\\n\",\n \"-731911479516817236\\n\",\n 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\"3\\n\",\n \"1\\n\",\n \"2\\n\",\n \"0\\n\",\n \"2\\n\",\n \"0\\n\",\n \"0\\n\",\n \"1\\n\",\n \"3\\n\",\n \"1\\n\",\n \"0\\n\",\n \"0\\n\",\n \"0\\n\",\n \"0\\n\",\n \"0\\n\",\n \"1\\n\",\n \"2\\n\",\n \"3\\n\",\n \"0\\n\",\n \"1\\n\",\n \"1\\n\",\n \"1\\n\",\n \"0\\n\",\n \"1\\n\",\n \"3\\n\",\n \"1\\n\",\n \"3\\n\",\n \"3\\n\",\n \"3\\n\",\n \"2\\n\",\n \"0\\n\",\n \"2\\n\",\n \"2\\n\",\n \"0\\n\",\n \"2\\n\",\n \"2\\n\",\n \"2\\n\",\n \"3\\n\",\n \"3\\n\",\n \"1\\n\",\n \"3\\n\",\n \"2\\n\",\n \"0\\n\",\n \"3\\n\",\n \"3\\n\",\n \"2\\n\",\n \"2\\n\",\n \"0\\n\",\n \"3\\n\",\n \"0\\n\",\n \"1\\n\",\n \"1\\n\",\n \"1\\n\",\n \"2\\n\",\n \"1\\n\",\n \"2\\n\",\n \"2\\n\",\n \"1\\n\",\n \"2\\n\",\n \"0\\n\",\n \"3\\n\",\n \"1\\n\",\n \"2\\n\",\n \"0\\n\",\n \"1\\n\",\n \"3\\n\",\n \"0\\n\",\n \"0\\n\",\n \"0\\n\",\n \"2\\n\",\n \"0\\n\",\n \"1\\n\",\n \"0\\n\",\n \"0\\n\",\n \"2\\n\",\n \"0\\n\",\n \"0\\n\",\n \"2\\n\",\n \"3\\n\",\n \"0\\n\",\n \"3\\n\",\n \"2\\n\",\n \"1\\n\",\n 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\"1\\n\",\n \"3\\n\",\n \"1\\n\",\n \"0\\n\",\n \"0\\n\",\n \"0\\n\",\n \"2\\n\",\n \"1\\n\",\n \"0\\n\",\n \"1\\n\",\n \"0\\n\",\n \"3\\n\",\n \"3\\n\"\n ]\n}"},"source":{"kind":"class label","value":"2","name":"CODEFORCES"}}},{"rowIdx":38297,"cells":{"id":{"kind":"string","value":"659_E. New Reform_38297"},"description":{"kind":"string","value":"Berland has n cities connected by m bidirectional roads. No road connects a city to itself, and each pair of cities is connected by no more than one road. It is not guaranteed that you can get from any city to any other one, using only the existing roads.\n\nThe President of Berland decided to make changes to the road system and instructed the Ministry of Transport to make this reform. Now, each road should be unidirectional (only lead from one city to another).\n\nIn order not to cause great resentment among residents, the reform needs to be conducted so that there can be as few separate cities as possible. A city is considered separate, if no road leads into it, while it is allowed to have roads leading from this city.\n\nHelp the Ministry of Transport to find the minimum possible number of separate cities after the reform.\n\nInput\n\nThe first line of the input contains two positive integers, n and m — the number of the cities and the number of roads in Berland (2 ≤ n ≤ 100 000, 1 ≤ m ≤ 100 000). \n\nNext m lines contain the descriptions of the roads: the i-th road is determined by two distinct integers xi, yi (1 ≤ xi, yi ≤ n, xi ≠ yi), where xi and yi are the numbers of the cities connected by the i-th road.\n\nIt is guaranteed that there is no more than one road between each pair of cities, but it is not guaranteed that from any city you can get to any other one, using only roads.\n\nOutput\n\nPrint a single integer — the minimum number of separated cities after the reform.\n\nExamples\n\nInput\n\n4 3\n2 1\n1 3\n4 3\n\n\nOutput\n\n1\n\n\nInput\n\n5 5\n2 1\n1 3\n2 3\n2 5\n4 3\n\n\nOutput\n\n0\n\n\nInput\n\n6 5\n1 2\n2 3\n4 5\n4 6\n5 6\n\n\nOutput\n\n1\n\nNote\n\nIn the first sample the following road orientation is allowed: , , .\n\nThe second sample: , , , , .\n\nThe third sample: , , , , ."},"code":{"kind":"string","value":"from collections import deque\nn,m=map(int, raw_input().split(' '))\n\nGraph=[[] for _ in range(n+1)]\nvisited=[False]*(n+1)\n\ndef dfs(start):\n\tnodes_visited=edges_travelled=0\n\tnodes_visited+=1\n\tvisited[start]=True\n\tstack=[]\n\tstack.append(start)\n\twhile stack:\n\t\ti=stack.pop()\n\t\tfor j in Graph[i]:\n\t\t\tedges_travelled+=1\n\t\t\tif visited[j]:\n\t\t\t\tcontinue\n\t\t\telse:\n\t\t\t\tvisited[j]=True\n\t\t\t\tstack.append(j)\n\t\t\t\tnodes_visited+=1\n\n\tif nodes_visited-1==edges_travelled/2:\n\t\treturn 1\n\telse:\n\t\treturn 0\n\n\n\nwhile(m):\n\tu,v=map(int, raw_input().split(' '))\n\tGraph[u].append(v)\n\tGraph[v].append(u)\n\tm-=1\nans=0\nfor i in range(1,n+1):\n\tif visited[i]:\n\t\tcontinue\n\tans+=dfs(i)\n\nprint ans\n\n"},"language":{"kind":"class label","value":"1","name":"Python2"},"test_samples":{"kind":"string","value":"{\n \"input\": [\n \"5 5\\n2 1\\n1 3\\n2 3\\n2 5\\n4 3\\n\",\n \"4 3\\n2 1\\n1 3\\n4 3\\n\",\n \"6 5\\n1 2\\n2 3\\n4 5\\n4 6\\n5 6\\n\",\n \"10 45\\n3 5\\n2 3\\n4 8\\n2 5\\n6 8\\n5 7\\n2 1\\n3 7\\n5 10\\n6 1\\n9 4\\n3 6\\n9 10\\n6 7\\n1 7\\n7 9\\n6 9\\n9 3\\n4 2\\n2 6\\n5 6\\n5 8\\n3 4\\n10 8\\n7 8\\n4 6\\n9 1\\n5 9\\n7 4\\n1 10\\n9 2\\n2 8\\n6 10\\n9 8\\n1 5\\n7 2\\n10 3\\n3 8\\n4 10\\n4 1\\n10 7\\n1 3\\n1 8\\n10 2\\n4 5\\n\",\n \"20 20\\n16 3\\n15 14\\n6 14\\n13 19\\n7 13\\n3 13\\n3 2\\n17 11\\n14 20\\n19 10\\n4 13\\n3 8\\n18 4\\n12 7\\n6 3\\n11 13\\n17 19\\n5 14\\n9 2\\n11 1\\n\",\n \"2 1\\n1 2\\n\",\n \"5 5\\n1 2\\n2 3\\n3 4\\n4 5\\n5 2\\n\",\n \"4 4\\n1 2\\n2 3\\n3 4\\n4 1\\n\",\n \"10 45\\n3 5\\n2 3\\n4 8\\n2 5\\n6 8\\n5 7\\n2 1\\n3 7\\n5 10\\n6 1\\n9 4\\n3 6\\n9 10\\n6 7\\n1 7\\n7 9\\n6 9\\n9 3\\n4 2\\n2 6\\n5 6\\n5 8\\n3 4\\n10 8\\n7 8\\n4 6\\n9 1\\n5 5\\n7 4\\n1 10\\n9 2\\n2 8\\n6 10\\n9 8\\n1 5\\n7 2\\n10 3\\n3 8\\n4 10\\n4 1\\n10 7\\n1 3\\n1 8\\n10 2\\n4 5\\n\",\n \"4 3\\n2 1\\n2 3\\n4 3\\n\",\n \"4 4\\n1 2\\n2 4\\n3 4\\n4 1\\n\",\n \"10 45\\n3 5\\n2 3\\n4 8\\n2 5\\n6 8\\n5 7\\n2 1\\n3 7\\n5 10\\n6 1\\n9 4\\n3 6\\n9 10\\n6 7\\n1 7\\n7 9\\n6 9\\n9 3\\n4 2\\n2 6\\n5 6\\n5 8\\n3 4\\n10 8\\n7 8\\n4 6\\n9 1\\n5 5\\n7 4\\n1 10\\n9 2\\n2 8\\n6 10\\n9 8\\n1 5\\n7 2\\n10 3\\n3 8\\n4 10\\n1 1\\n10 7\\n1 3\\n1 8\\n10 2\\n4 5\\n\",\n \"10 45\\n3 5\\n2 3\\n4 8\\n2 5\\n6 8\\n5 7\\n2 1\\n3 7\\n5 10\\n6 1\\n9 4\\n3 6\\n2 10\\n6 7\\n1 7\\n7 9\\n6 9\\n9 3\\n4 2\\n2 6\\n5 6\\n5 8\\n3 4\\n10 8\\n7 8\\n4 6\\n9 1\\n5 5\\n7 4\\n1 10\\n9 2\\n2 8\\n6 10\\n9 8\\n1 5\\n7 2\\n10 3\\n3 8\\n4 10\\n1 1\\n10 7\\n1 3\\n1 8\\n10 2\\n4 5\\n\",\n \"10 45\\n3 5\\n2 3\\n4 8\\n2 5\\n6 8\\n5 7\\n2 1\\n3 7\\n5 10\\n6 1\\n9 4\\n3 1\\n2 10\\n6 7\\n1 7\\n7 9\\n6 9\\n9 3\\n4 2\\n2 6\\n5 6\\n5 8\\n3 4\\n10 8\\n7 8\\n4 6\\n9 1\\n5 5\\n7 4\\n1 10\\n9 2\\n2 8\\n6 10\\n9 8\\n1 5\\n7 2\\n10 3\\n3 8\\n4 10\\n1 1\\n10 7\\n1 3\\n1 8\\n10 2\\n4 5\\n\",\n \"10 45\\n3 5\\n2 3\\n4 8\\n2 5\\n6 8\\n5 7\\n2 1\\n3 7\\n5 10\\n6 1\\n9 4\\n3 1\\n2 10\\n6 7\\n1 7\\n7 9\\n6 9\\n9 3\\n4 2\\n2 6\\n5 6\\n5 8\\n3 4\\n10 8\\n7 8\\n4 6\\n9 1\\n5 5\\n7 4\\n1 10\\n9 2\\n2 8\\n6 10\\n9 8\\n1 5\\n7 2\\n10 3\\n3 8\\n4 10\\n1 1\\n10 7\\n1 3\\n1 8\\n10 2\\n4 10\\n\",\n \"10 45\\n3 5\\n2 3\\n4 8\\n2 5\\n6 8\\n5 7\\n2 1\\n3 7\\n5 10\\n6 1\\n9 4\\n3 1\\n2 10\\n6 7\\n1 7\\n7 9\\n6 9\\n9 3\\n4 2\\n2 6\\n5 6\\n5 8\\n3 4\\n10 8\\n7 8\\n4 6\\n9 1\\n5 5\\n7 4\\n1 10\\n9 2\\n2 8\\n6 10\\n9 8\\n1 5\\n7 2\\n10 3\\n3 8\\n2 10\\n1 1\\n10 7\\n1 3\\n1 8\\n10 2\\n4 10\\n\",\n \"10 45\\n3 5\\n2 3\\n4 8\\n2 5\\n6 8\\n5 7\\n2 1\\n3 7\\n5 10\\n6 1\\n9 8\\n3 1\\n2 10\\n6 7\\n1 7\\n7 9\\n6 9\\n9 3\\n4 2\\n2 6\\n5 6\\n5 8\\n3 4\\n10 8\\n7 8\\n4 6\\n9 1\\n5 5\\n7 4\\n1 10\\n9 2\\n2 8\\n6 10\\n9 8\\n1 5\\n7 2\\n10 3\\n3 8\\n2 10\\n1 1\\n10 7\\n1 3\\n1 8\\n10 2\\n4 10\\n\",\n \"10 45\\n3 5\\n2 3\\n4 8\\n2 5\\n6 8\\n5 7\\n2 1\\n3 7\\n5 10\\n6 1\\n9 8\\n3 1\\n2 10\\n6 7\\n1 7\\n7 9\\n6 9\\n9 3\\n4 2\\n2 6\\n5 6\\n5 8\\n6 4\\n10 8\\n7 8\\n4 6\\n9 1\\n5 5\\n7 4\\n1 10\\n9 2\\n2 8\\n6 10\\n9 8\\n1 5\\n7 2\\n10 3\\n3 8\\n2 10\\n1 1\\n10 7\\n1 3\\n1 8\\n10 2\\n4 10\\n\",\n \"10 45\\n3 5\\n2 3\\n4 8\\n2 5\\n6 8\\n5 7\\n2 1\\n3 7\\n5 10\\n6 1\\n9 8\\n3 1\\n2 10\\n6 7\\n1 7\\n7 9\\n6 9\\n9 3\\n2 2\\n2 6\\n5 6\\n5 8\\n6 4\\n10 8\\n7 8\\n4 6\\n9 1\\n5 5\\n7 4\\n1 10\\n9 2\\n2 8\\n6 10\\n9 8\\n1 5\\n7 2\\n10 3\\n3 8\\n2 10\\n1 1\\n10 7\\n1 3\\n1 8\\n10 2\\n4 10\\n\",\n \"10 45\\n3 5\\n2 3\\n4 8\\n2 5\\n6 8\\n5 7\\n2 1\\n3 7\\n5 10\\n6 1\\n9 8\\n3 1\\n2 10\\n6 7\\n1 7\\n7 9\\n6 9\\n9 3\\n2 2\\n2 6\\n5 6\\n5 8\\n6 4\\n10 8\\n7 8\\n4 6\\n9 1\\n5 5\\n7 4\\n1 10\\n9 2\\n2 8\\n6 10\\n9 8\\n1 5\\n7 2\\n9 3\\n3 8\\n2 10\\n1 1\\n10 7\\n1 3\\n1 8\\n10 2\\n4 10\\n\",\n \"10 45\\n3 5\\n2 3\\n4 8\\n2 5\\n9 8\\n5 7\\n2 1\\n3 7\\n5 10\\n6 1\\n9 4\\n3 6\\n9 10\\n6 7\\n1 7\\n7 9\\n6 9\\n9 3\\n4 2\\n2 6\\n5 6\\n5 8\\n3 4\\n10 8\\n7 8\\n4 6\\n9 1\\n5 9\\n7 4\\n1 10\\n9 2\\n2 8\\n6 10\\n9 8\\n1 5\\n7 2\\n10 3\\n3 8\\n4 10\\n4 1\\n10 7\\n1 3\\n1 8\\n10 2\\n4 5\\n\",\n \"20 20\\n16 3\\n15 14\\n6 14\\n13 19\\n7 13\\n3 13\\n3 2\\n17 12\\n14 20\\n19 10\\n4 13\\n3 8\\n18 4\\n12 7\\n6 3\\n11 13\\n17 19\\n5 14\\n9 2\\n11 1\\n\",\n \"5 5\\n2 1\\n1 5\\n2 3\\n2 5\\n4 3\\n\",\n \"10 45\\n3 5\\n2 3\\n4 8\\n2 5\\n6 8\\n5 7\\n2 1\\n3 7\\n5 10\\n6 1\\n9 4\\n3 7\\n9 10\\n6 7\\n1 7\\n7 9\\n6 9\\n9 3\\n4 2\\n2 6\\n5 6\\n5 8\\n3 4\\n10 8\\n7 8\\n4 6\\n9 1\\n5 5\\n7 4\\n1 10\\n9 2\\n2 8\\n6 10\\n9 8\\n1 5\\n7 2\\n10 3\\n3 8\\n4 10\\n4 1\\n10 7\\n1 3\\n1 8\\n10 2\\n4 5\\n\",\n \"10 45\\n3 5\\n2 3\\n4 8\\n2 5\\n6 8\\n5 7\\n2 1\\n3 7\\n5 10\\n6 1\\n9 4\\n3 6\\n9 10\\n6 7\\n1 7\\n7 9\\n6 9\\n9 3\\n4 2\\n2 6\\n5 6\\n5 8\\n3 4\\n10 8\\n7 8\\n4 6\\n9 1\\n5 5\\n7 4\\n1 10\\n9 2\\n2 8\\n6 10\\n9 8\\n1 5\\n7 4\\n10 3\\n3 8\\n4 10\\n1 1\\n10 7\\n1 3\\n1 8\\n10 2\\n4 5\\n\",\n \"10 45\\n3 5\\n2 3\\n4 8\\n2 5\\n6 8\\n5 7\\n2 1\\n3 7\\n5 10\\n6 2\\n9 4\\n3 6\\n2 10\\n6 7\\n1 7\\n7 9\\n6 9\\n9 3\\n4 2\\n2 6\\n5 6\\n5 8\\n3 4\\n10 8\\n7 8\\n4 6\\n9 1\\n5 5\\n7 4\\n1 10\\n9 2\\n2 8\\n6 10\\n9 8\\n1 5\\n7 2\\n10 3\\n3 8\\n4 10\\n1 1\\n10 7\\n1 3\\n1 8\\n10 2\\n4 5\\n\",\n \"10 45\\n3 5\\n2 3\\n4 8\\n2 5\\n6 8\\n5 7\\n2 1\\n3 7\\n5 10\\n6 1\\n9 4\\n3 1\\n2 10\\n6 7\\n1 7\\n7 9\\n6 9\\n9 3\\n4 2\\n2 6\\n5 6\\n5 8\\n1 4\\n10 8\\n7 8\\n4 6\\n9 1\\n5 5\\n7 4\\n1 10\\n9 2\\n2 8\\n6 10\\n9 8\\n1 5\\n7 2\\n10 3\\n3 8\\n4 10\\n1 1\\n10 7\\n1 3\\n1 8\\n10 2\\n4 5\\n\",\n \"10 45\\n3 7\\n2 3\\n4 8\\n2 5\\n6 8\\n5 7\\n2 1\\n3 7\\n5 10\\n6 1\\n9 8\\n3 1\\n2 10\\n6 7\\n1 7\\n7 9\\n6 9\\n9 3\\n2 2\\n2 6\\n5 6\\n5 8\\n6 4\\n10 8\\n7 8\\n4 6\\n9 1\\n5 5\\n7 4\\n1 10\\n9 2\\n2 8\\n6 10\\n9 8\\n1 5\\n7 2\\n10 3\\n3 8\\n2 10\\n1 1\\n10 7\\n1 3\\n1 8\\n10 2\\n4 10\\n\",\n \"10 45\\n3 5\\n2 3\\n4 8\\n2 5\\n6 8\\n5 7\\n2 1\\n3 7\\n5 10\\n6 1\\n3 8\\n3 1\\n2 10\\n6 7\\n1 7\\n7 9\\n6 9\\n9 3\\n2 2\\n2 6\\n5 6\\n5 8\\n6 4\\n10 8\\n7 8\\n4 6\\n9 1\\n5 5\\n7 4\\n1 10\\n9 2\\n2 8\\n6 10\\n9 8\\n1 5\\n7 2\\n9 3\\n3 8\\n2 10\\n1 1\\n10 7\\n1 3\\n1 8\\n10 2\\n4 10\\n\",\n \"10 45\\n3 5\\n2 3\\n4 8\\n2 5\\n9 8\\n5 7\\n2 1\\n3 7\\n5 10\\n6 1\\n9 4\\n3 6\\n9 10\\n6 7\\n1 7\\n7 9\\n6 8\\n9 3\\n4 2\\n2 6\\n5 6\\n5 8\\n3 4\\n10 8\\n7 8\\n4 6\\n9 1\\n5 9\\n7 4\\n1 10\\n9 2\\n2 8\\n6 10\\n9 8\\n1 5\\n7 2\\n10 3\\n3 8\\n4 10\\n4 1\\n10 7\\n1 3\\n1 8\\n10 2\\n4 5\\n\",\n \"10 45\\n3 5\\n2 3\\n4 8\\n2 5\\n6 8\\n5 7\\n2 1\\n3 7\\n5 10\\n6 1\\n9 4\\n4 6\\n9 10\\n6 7\\n1 7\\n7 9\\n6 9\\n9 3\\n4 2\\n2 6\\n5 6\\n5 8\\n3 4\\n10 8\\n7 8\\n4 6\\n9 1\\n5 5\\n7 4\\n1 10\\n9 2\\n2 8\\n6 10\\n9 8\\n1 5\\n7 4\\n10 3\\n3 8\\n4 10\\n1 1\\n10 7\\n1 3\\n1 8\\n10 2\\n4 5\\n\",\n \"10 45\\n3 5\\n2 3\\n4 8\\n2 5\\n6 8\\n5 7\\n2 1\\n3 7\\n3 10\\n6 1\\n9 4\\n3 1\\n2 10\\n6 7\\n1 7\\n7 9\\n6 9\\n9 3\\n4 2\\n2 6\\n5 6\\n5 8\\n1 4\\n10 8\\n7 8\\n4 6\\n9 1\\n5 5\\n7 4\\n1 10\\n9 2\\n2 8\\n6 10\\n9 8\\n1 5\\n7 2\\n10 3\\n3 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5\\n\",\n \"10 45\\n3 7\\n2 3\\n4 8\\n2 5\\n6 8\\n7 7\\n2 1\\n3 7\\n5 10\\n6 2\\n9 3\\n3 1\\n2 10\\n6 7\\n1 7\\n7 9\\n6 9\\n9 3\\n2 2\\n2 6\\n5 6\\n5 8\\n6 4\\n10 8\\n7 8\\n4 6\\n9 1\\n5 5\\n7 4\\n1 10\\n9 2\\n2 8\\n6 10\\n9 8\\n1 5\\n7 2\\n10 3\\n3 8\\n2 10\\n1 1\\n10 7\\n1 3\\n1 8\\n10 2\\n4 10\\n\",\n \"10 45\\n3 5\\n2 3\\n4 8\\n2 5\\n6 8\\n5 7\\n2 1\\n3 7\\n5 10\\n6 1\\n9 4\\n4 6\\n9 10\\n6 7\\n1 7\\n7 9\\n6 9\\n9 3\\n4 2\\n2 6\\n5 6\\n5 8\\n3 4\\n10 8\\n9 8\\n6 6\\n9 1\\n5 5\\n7 4\\n1 10\\n9 2\\n2 8\\n6 10\\n9 8\\n1 5\\n7 4\\n10 3\\n3 8\\n4 10\\n1 1\\n10 7\\n1 3\\n1 8\\n10 3\\n4 5\\n\",\n \"10 45\\n3 7\\n2 3\\n4 8\\n2 5\\n6 8\\n7 7\\n3 1\\n3 7\\n5 10\\n6 2\\n9 3\\n3 1\\n2 10\\n6 7\\n1 7\\n7 9\\n6 9\\n9 3\\n2 2\\n2 6\\n5 6\\n5 8\\n6 4\\n10 8\\n7 8\\n4 6\\n9 1\\n5 5\\n7 4\\n1 10\\n9 2\\n2 8\\n6 10\\n9 8\\n1 5\\n7 2\\n10 3\\n3 8\\n2 10\\n1 1\\n10 7\\n1 3\\n1 8\\n10 2\\n4 10\\n\",\n \"10 45\\n3 7\\n2 3\\n4 8\\n2 5\\n6 8\\n7 7\\n3 1\\n3 7\\n5 10\\n6 2\\n9 3\\n3 1\\n2 10\\n6 7\\n1 7\\n7 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5\\n6 8\\n5 7\\n2 1\\n2 7\\n5 10\\n6 1\\n9 4\\n3 6\\n9 10\\n6 7\\n1 7\\n7 9\\n6 9\\n9 3\\n4 2\\n2 6\\n5 6\\n5 8\\n3 4\\n10 8\\n8 8\\n4 6\\n9 1\\n5 5\\n7 4\\n1 10\\n9 2\\n2 8\\n6 10\\n9 8\\n1 5\\n7 2\\n10 3\\n3 8\\n4 10\\n4 1\\n10 7\\n1 3\\n1 8\\n10 2\\n4 5\\n\",\n \"10 45\\n3 5\\n2 3\\n4 8\\n2 5\\n5 8\\n5 7\\n2 1\\n3 7\\n5 10\\n6 1\\n9 4\\n3 6\\n9 10\\n6 7\\n1 7\\n7 9\\n6 9\\n9 3\\n4 2\\n2 6\\n5 6\\n5 8\\n3 4\\n10 8\\n7 3\\n4 6\\n9 1\\n5 5\\n7 4\\n1 10\\n9 2\\n2 8\\n6 10\\n9 8\\n1 5\\n7 2\\n10 3\\n3 8\\n4 10\\n1 1\\n10 7\\n1 3\\n1 8\\n10 2\\n4 5\\n\",\n \"10 45\\n3 5\\n1 3\\n4 8\\n2 5\\n6 8\\n5 7\\n2 1\\n3 7\\n5 10\\n6 1\\n9 4\\n3 1\\n2 10\\n6 7\\n1 7\\n7 9\\n6 9\\n9 3\\n4 2\\n2 6\\n5 6\\n5 8\\n3 4\\n10 8\\n7 8\\n4 6\\n9 1\\n5 5\\n7 4\\n1 10\\n9 2\\n2 8\\n6 10\\n9 8\\n1 5\\n7 2\\n10 6\\n3 8\\n2 10\\n1 1\\n10 7\\n1 3\\n1 8\\n10 2\\n4 10\\n\",\n \"10 45\\n3 5\\n2 3\\n4 8\\n3 5\\n6 8\\n5 7\\n2 1\\n3 7\\n5 10\\n6 1\\n9 8\\n3 1\\n2 10\\n8 7\\n1 7\\n7 9\\n6 9\\n9 3\\n2 2\\n2 6\\n5 6\\n5 8\\n6 4\\n10 8\\n7 8\\n4 6\\n9 1\\n5 5\\n7 4\\n1 10\\n9 2\\n2 8\\n6 10\\n9 8\\n1 5\\n7 2\\n9 3\\n3 8\\n2 10\\n1 1\\n10 7\\n1 3\\n1 8\\n10 2\\n4 10\\n\",\n \"10 45\\n3 5\\n2 3\\n4 8\\n2 5\\n9 8\\n5 7\\n2 1\\n4 7\\n5 10\\n6 2\\n9 4\\n3 6\\n9 10\\n6 7\\n1 7\\n7 9\\n6 9\\n9 3\\n4 2\\n2 6\\n5 6\\n5 8\\n3 4\\n10 8\\n7 8\\n4 6\\n9 1\\n5 9\\n7 4\\n1 10\\n9 2\\n2 8\\n6 10\\n9 8\\n1 5\\n7 2\\n10 3\\n3 8\\n4 10\\n4 1\\n10 7\\n1 3\\n1 8\\n10 2\\n4 5\\n\",\n \"20 20\\n16 3\\n15 1\\n6 14\\n13 19\\n7 13\\n3 13\\n3 2\\n17 12\\n14 20\\n19 10\\n4 11\\n3 8\\n18 4\\n12 7\\n6 3\\n11 13\\n17 19\\n5 14\\n9 2\\n11 1\\n\",\n \"10 45\\n3 5\\n2 3\\n4 8\\n2 5\\n6 7\\n5 7\\n4 1\\n3 7\\n5 10\\n6 1\\n9 4\\n3 7\\n9 10\\n6 7\\n1 7\\n7 9\\n6 9\\n9 3\\n4 2\\n2 6\\n5 6\\n5 8\\n3 4\\n10 8\\n7 8\\n4 6\\n9 1\\n5 5\\n7 4\\n1 10\\n9 2\\n2 8\\n6 10\\n9 8\\n1 5\\n7 2\\n10 3\\n3 8\\n4 10\\n4 1\\n10 7\\n1 3\\n1 8\\n10 2\\n4 5\\n\"\n ],\n \"output\": [\n \"0\",\n \"1\",\n \"1\",\n \"0\",\n \"0\",\n \"1\",\n \"0\",\n \"0\",\n 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label","value":"2","name":"CODEFORCES"}}},{"rowIdx":38298,"cells":{"id":{"kind":"string","value":"659_E. New Reform_38298"},"description":{"kind":"string","value":"Berland has n cities connected by m bidirectional roads. No road connects a city to itself, and each pair of cities is connected by no more than one road. It is not guaranteed that you can get from any city to any other one, using only the existing roads.\n\nThe President of Berland decided to make changes to the road system and instructed the Ministry of Transport to make this reform. Now, each road should be unidirectional (only lead from one city to another).\n\nIn order not to cause great resentment among residents, the reform needs to be conducted so that there can be as few separate cities as possible. A city is considered separate, if no road leads into it, while it is allowed to have roads leading from this city.\n\nHelp the Ministry of Transport to find the minimum possible number of separate cities after the reform.\n\nInput\n\nThe first line of the input contains two positive integers, n and m — the number of the cities and the number of roads in Berland (2 ≤ n ≤ 100 000, 1 ≤ m ≤ 100 000). \n\nNext m lines contain the descriptions of the roads: the i-th road is determined by two distinct integers xi, yi (1 ≤ xi, yi ≤ n, xi ≠ yi), where xi and yi are the numbers of the cities connected by the i-th road.\n\nIt is guaranteed that there is no more than one road between each pair of cities, but it is not guaranteed that from any city you can get to any other one, using only roads.\n\nOutput\n\nPrint a single integer — the minimum number of separated cities after the reform.\n\nExamples\n\nInput\n\n4 3\n2 1\n1 3\n4 3\n\n\nOutput\n\n1\n\n\nInput\n\n5 5\n2 1\n1 3\n2 3\n2 5\n4 3\n\n\nOutput\n\n0\n\n\nInput\n\n6 5\n1 2\n2 3\n4 5\n4 6\n5 6\n\n\nOutput\n\n1\n\nNote\n\nIn the first sample the following road orientation is allowed: , , .\n\nThe second sample: , , , , .\n\nThe third sample: , , , , ."},"code":{"kind":"string","value":"#include \nusing namespace std;\nint N, M;\nbool group[100001];\nbool trip[100001];\nvector Map[100001];\nbool flag;\nvoid search(int v, int par) {\n group[v] = true;\n trip[v] = true;\n for (int i = 0; i < Map[v].size(); i++) {\n int now = Map[v][i];\n if (now == par) continue;\n if (trip[now]) flag = true;\n if (!group[now]) search(now, v);\n }\n trip[v] = false;\n}\nint main() {\n scanf(\"%d%d\", &N, &M);\n int a, b;\n for (int i = 0; i < M; i++) {\n scanf(\"%d%d\", &a, &b);\n Map[a].push_back(b);\n Map[b].push_back(a);\n }\n int ans = 0;\n for (int i = 1; i <= N; i++)\n if (!group[i]) {\n flag = false;\n search(i, 0);\n if (!flag) ans++;\n }\n printf(\"%d\\n\", ans);\n return 0;\n}\n"},"language":{"kind":"class label","value":"2","name":"C++"},"test_samples":{"kind":"string","value":"{\n \"input\": [\n \"5 5\\n2 1\\n1 3\\n2 3\\n2 5\\n4 3\\n\",\n \"4 3\\n2 1\\n1 3\\n4 3\\n\",\n \"6 5\\n1 2\\n2 3\\n4 5\\n4 6\\n5 6\\n\",\n \"10 45\\n3 5\\n2 3\\n4 8\\n2 5\\n6 8\\n5 7\\n2 1\\n3 7\\n5 10\\n6 1\\n9 4\\n3 6\\n9 10\\n6 7\\n1 7\\n7 9\\n6 9\\n9 3\\n4 2\\n2 6\\n5 6\\n5 8\\n3 4\\n10 8\\n7 8\\n4 6\\n9 1\\n5 9\\n7 4\\n1 10\\n9 2\\n2 8\\n6 10\\n9 8\\n1 5\\n7 2\\n10 3\\n3 8\\n4 10\\n4 1\\n10 7\\n1 3\\n1 8\\n10 2\\n4 5\\n\",\n \"20 20\\n16 3\\n15 14\\n6 14\\n13 19\\n7 13\\n3 13\\n3 2\\n17 11\\n14 20\\n19 10\\n4 13\\n3 8\\n18 4\\n12 7\\n6 3\\n11 13\\n17 19\\n5 14\\n9 2\\n11 1\\n\",\n \"2 1\\n1 2\\n\",\n \"5 5\\n1 2\\n2 3\\n3 4\\n4 5\\n5 2\\n\",\n \"4 4\\n1 2\\n2 3\\n3 4\\n4 1\\n\",\n \"10 45\\n3 5\\n2 3\\n4 8\\n2 5\\n6 8\\n5 7\\n2 1\\n3 7\\n5 10\\n6 1\\n9 4\\n3 6\\n9 10\\n6 7\\n1 7\\n7 9\\n6 9\\n9 3\\n4 2\\n2 6\\n5 6\\n5 8\\n3 4\\n10 8\\n7 8\\n4 6\\n9 1\\n5 5\\n7 4\\n1 10\\n9 2\\n2 8\\n6 10\\n9 8\\n1 5\\n7 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New Reform_38299"},"description":{"kind":"string","value":"Berland has n cities connected by m bidirectional roads. No road connects a city to itself, and each pair of cities is connected by no more than one road. It is not guaranteed that you can get from any city to any other one, using only the existing roads.\n\nThe President of Berland decided to make changes to the road system and instructed the Ministry of Transport to make this reform. Now, each road should be unidirectional (only lead from one city to another).\n\nIn order not to cause great resentment among residents, the reform needs to be conducted so that there can be as few separate cities as possible. A city is considered separate, if no road leads into it, while it is allowed to have roads leading from this city.\n\nHelp the Ministry of Transport to find the minimum possible number of separate cities after the reform.\n\nInput\n\nThe first line of the input contains two positive integers, n and m — the number of the cities and the number of roads in Berland (2 ≤ n ≤ 100 000, 1 ≤ m ≤ 100 000). \n\nNext m lines contain the descriptions of the roads: the i-th road is determined by two distinct integers xi, yi (1 ≤ xi, yi ≤ n, xi ≠ yi), where xi and yi are the numbers of the cities connected by the i-th road.\n\nIt is guaranteed that there is no more than one road between each pair of cities, but it is not guaranteed that from any city you can get to any other one, using only roads.\n\nOutput\n\nPrint a single integer — the minimum number of separated cities after the reform.\n\nExamples\n\nInput\n\n4 3\n2 1\n1 3\n4 3\n\n\nOutput\n\n1\n\n\nInput\n\n5 5\n2 1\n1 3\n2 3\n2 5\n4 3\n\n\nOutput\n\n0\n\n\nInput\n\n6 5\n1 2\n2 3\n4 5\n4 6\n5 6\n\n\nOutput\n\n1\n\nNote\n\nIn the first sample the following road orientation is allowed: , , .\n\nThe second sample: , , , , .\n\nThe third sample: , , , , ."},"code":{"kind":"string","value":"import sys\nfrom math import sqrt, gcd, ceil, log\n# from bisect import bisect, bisect_left\nfrom collections import defaultdict, Counter, deque\n# from heapq import heapify, heappush, heappop\ninput = sys.stdin.readline\nread = lambda: list(map(int, input().strip().split()))\n\nsys.setrecursionlimit(200000)\n\n\ndef main(): \n\tn, m = read()\n\tadj = defaultdict(list)\n\tvisited = defaultdict(int)\n\t# visited\n\tfor i in range(m):\n\t\tx, y = read()\n\t\tadj[x].append(y)\n\t\tadj[y].append(x)\n\n\tdef dfs(ver):\n\t\tparent = defaultdict(int)\n\t\tstk = [(ver,0)]\n\t\tvisited[ver] = 1\n\t\tparent[ver] = 0\n\t\twhile stk:\n\t\t\tnode, par = stk.pop()\n\t\t\tfor child in adj[node]:\n\t\t\t\tif child == par:continue\n\t\t\t\telif not visited[child]:\n\t\t\t\t\tvisited[child] = 1\n\t\t\t\t\tparent[child] = node\n\t\t\t\t\tstk.append((child, node))\n\t\t\t\telif parent[child] != node:\n\t\t\t\t\treturn(0)\n\t\treturn(1)\n\n\tans = 0\n\tfor i in range(1, n+1):\n\t\tif not visited[i]:\n\t\t\tans += dfs(i)\n\t\t\t# print(i, visited)\n\tprint(ans)\n\t\t# \n\n\n\n\n\t\t\t\n\n\n\n\n\n\nif __name__ == \"__main__\":\n\tmain()"},"language":{"kind":"class label","value":"3","name":"Python3"},"test_samples":{"kind":"string","value":"{\n \"input\": [\n \"5 5\\n2 1\\n1 3\\n2 3\\n2 5\\n4 3\\n\",\n \"4 3\\n2 1\\n1 3\\n4 3\\n\",\n \"6 5\\n1 2\\n2 3\\n4 5\\n4 6\\n5 6\\n\",\n \"10 45\\n3 5\\n2 3\\n4 8\\n2 5\\n6 8\\n5 7\\n2 1\\n3 7\\n5 10\\n6 1\\n9 4\\n3 6\\n9 10\\n6 7\\n1 7\\n7 9\\n6 9\\n9 3\\n4 2\\n2 6\\n5 6\\n5 8\\n3 4\\n10 8\\n7 8\\n4 6\\n9 1\\n5 9\\n7 4\\n1 10\\n9 2\\n2 8\\n6 10\\n9 8\\n1 5\\n7 2\\n10 3\\n3 8\\n4 10\\n4 1\\n10 7\\n1 3\\n1 8\\n10 2\\n4 5\\n\",\n \"20 20\\n16 3\\n15 14\\n6 14\\n13 19\\n7 13\\n3 13\\n3 2\\n17 11\\n14 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\"4 3\\n4 1\\n1 3\\n4 3\\n\",\n \"10 45\\n3 5\\n2 3\\n4 8\\n2 5\\n6 8\\n5 7\\n2 1\\n2 7\\n5 10\\n6 1\\n9 4\\n3 6\\n9 10\\n6 7\\n1 7\\n7 9\\n6 9\\n9 3\\n4 2\\n2 6\\n5 6\\n5 8\\n3 4\\n10 8\\n7 8\\n4 6\\n9 1\\n5 5\\n7 4\\n1 10\\n9 2\\n2 8\\n6 10\\n9 8\\n1 5\\n7 2\\n10 3\\n3 8\\n4 10\\n4 1\\n10 7\\n1 3\\n1 8\\n10 2\\n4 5\\n\",\n \"10 45\\n3 5\\n2 3\\n4 8\\n2 5\\n5 8\\n5 7\\n2 1\\n3 7\\n5 10\\n6 1\\n9 4\\n3 6\\n9 10\\n6 7\\n1 7\\n7 9\\n6 9\\n9 3\\n4 2\\n2 6\\n5 6\\n5 8\\n3 4\\n10 8\\n7 8\\n4 6\\n9 1\\n5 5\\n7 4\\n1 10\\n9 2\\n2 8\\n6 10\\n9 8\\n1 5\\n7 2\\n10 3\\n3 8\\n4 10\\n1 1\\n10 7\\n1 3\\n1 8\\n10 2\\n4 5\\n\",\n \"10 45\\n3 5\\n2 3\\n4 8\\n2 5\\n6 8\\n5 7\\n2 1\\n3 7\\n5 10\\n6 1\\n9 4\\n3 6\\n2 10\\n6 7\\n1 7\\n7 9\\n6 9\\n9 3\\n4 2\\n2 6\\n5 6\\n5 1\\n3 4\\n10 8\\n7 8\\n4 6\\n9 1\\n5 5\\n7 4\\n1 10\\n9 2\\n2 8\\n6 10\\n9 8\\n1 5\\n7 2\\n10 3\\n3 8\\n4 10\\n1 1\\n10 7\\n1 3\\n1 8\\n10 2\\n4 5\\n\",\n \"10 45\\n3 5\\n2 3\\n4 8\\n2 5\\n6 8\\n5 7\\n2 1\\n3 7\\n5 10\\n6 1\\n9 4\\n3 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4\\n10 8\\n7 8\\n4 6\\n9 1\\n5 5\\n7 4\\n1 10\\n9 2\\n2 8\\n6 10\\n9 8\\n1 5\\n7 4\\n10 3\\n3 8\\n4 10\\n1 1\\n10 7\\n1 3\\n1 8\\n10 2\\n4 5\\n\",\n \"10 45\\n3 5\\n2 3\\n4 8\\n2 5\\n6 8\\n5 7\\n2 1\\n3 7\\n5 10\\n6 2\\n9 4\\n3 6\\n2 10\\n6 7\\n1 7\\n7 9\\n6 9\\n9 3\\n4 2\\n2 6\\n5 6\\n5 8\\n3 4\\n10 3\\n7 8\\n4 6\\n9 1\\n5 5\\n7 4\\n1 10\\n9 2\\n2 8\\n6 10\\n9 8\\n1 5\\n7 2\\n10 3\\n3 8\\n4 10\\n1 1\\n10 7\\n1 3\\n1 8\\n10 2\\n4 5\\n\",\n \"10 45\\n3 7\\n2 3\\n4 8\\n2 5\\n6 8\\n5 7\\n2 1\\n3 7\\n5 10\\n6 1\\n9 8\\n3 1\\n2 10\\n6 7\\n1 7\\n7 9\\n6 9\\n9 3\\n2 2\\n2 6\\n5 6\\n5 8\\n6 4\\n10 8\\n7 8\\n4 5\\n9 1\\n5 5\\n7 4\\n1 10\\n9 2\\n2 8\\n6 10\\n9 8\\n1 5\\n7 2\\n10 3\\n3 8\\n2 10\\n1 1\\n10 7\\n1 3\\n1 8\\n10 2\\n4 10\\n\",\n \"10 45\\n3 5\\n2 3\\n4 8\\n2 5\\n6 8\\n5 7\\n2 1\\n3 7\\n5 10\\n6 1\\n3 8\\n3 1\\n2 10\\n6 7\\n1 7\\n7 9\\n6 9\\n9 3\\n2 2\\n2 6\\n5 6\\n5 8\\n6 4\\n10 8\\n7 8\\n4 6\\n9 1\\n5 5\\n7 4\\n1 10\\n9 2\\n2 8\\n6 10\\n9 8\\n2 5\\n7 2\\n9 3\\n3 8\\n2 10\\n1 1\\n10 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6\\n9 10\\n6 7\\n1 7\\n7 9\\n6 9\\n9 3\\n4 2\\n2 6\\n5 6\\n5 8\\n3 4\\n10 8\\n7 8\\n4 6\\n9 1\\n5 5\\n7 4\\n1 10\\n9 2\\n2 8\\n6 10\\n9 8\\n1 5\\n7 4\\n10 3\\n3 8\\n4 10\\n2 1\\n10 7\\n1 3\\n1 8\\n10 3\\n4 5\\n\",\n \"10 45\\n3 5\\n2 3\\n4 8\\n2 5\\n6 8\\n5 7\\n2 1\\n3 7\\n3 10\\n6 1\\n9 4\\n3 1\\n2 10\\n6 7\\n1 7\\n7 9\\n6 9\\n9 3\\n4 2\\n2 6\\n5 6\\n5 3\\n1 4\\n10 8\\n7 8\\n4 6\\n9 1\\n5 5\\n9 4\\n1 10\\n9 2\\n2 8\\n6 10\\n9 8\\n1 5\\n7 2\\n10 3\\n3 8\\n4 10\\n1 1\\n10 7\\n1 3\\n1 8\\n10 2\\n4 5\\n\",\n \"10 45\\n3 7\\n2 3\\n4 8\\n2 5\\n6 8\\n7 7\\n2 1\\n3 7\\n5 10\\n6 1\\n9 3\\n3 1\\n2 10\\n6 7\\n1 7\\n7 9\\n6 9\\n9 3\\n2 2\\n2 6\\n5 6\\n5 8\\n6 4\\n10 8\\n7 8\\n4 6\\n9 1\\n5 5\\n7 4\\n2 10\\n9 2\\n2 8\\n6 10\\n9 8\\n1 5\\n7 2\\n10 3\\n3 8\\n2 10\\n1 1\\n10 7\\n1 3\\n1 8\\n10 2\\n4 10\\n\",\n \"10 45\\n3 5\\n2 3\\n4 8\\n2 5\\n8 8\\n9 7\\n2 1\\n3 7\\n3 10\\n6 1\\n9 4\\n3 1\\n2 10\\n6 7\\n1 7\\n7 9\\n6 9\\n9 3\\n4 2\\n2 6\\n5 6\\n5 8\\n1 4\\n10 8\\n7 8\\n4 6\\n9 1\\n5 5\\n9 4\\n1 10\\n9 2\\n2 8\\n6 10\\n9 8\\n1 5\\n7 2\\n10 3\\n3 8\\n4 10\\n1 1\\n10 7\\n1 3\\n1 8\\n10 2\\n4 5\\n\",\n \"10 45\\n3 7\\n2 3\\n4 8\\n2 5\\n6 8\\n7 7\\n3 1\\n3 7\\n5 9\\n6 2\\n9 3\\n3 1\\n2 10\\n6 7\\n1 7\\n7 9\\n6 9\\n9 3\\n2 2\\n2 6\\n5 6\\n5 8\\n6 4\\n10 8\\n7 8\\n4 6\\n9 1\\n5 5\\n7 4\\n1 10\\n9 2\\n2 8\\n6 10\\n9 8\\n1 5\\n7 2\\n10 3\\n3 8\\n2 10\\n1 1\\n10 7\\n1 3\\n1 8\\n10 2\\n4 10\\n\",\n \"10 45\\n3 7\\n2 3\\n4 8\\n2 5\\n6 8\\n7 7\\n3 1\\n3 7\\n5 10\\n6 2\\n9 3\\n3 1\\n2 10\\n6 7\\n1 7\\n7 9\\n6 9\\n9 3\\n2 2\\n2 6\\n5 6\\n5 8\\n6 4\\n10 8\\n7 8\\n4 6\\n9 1\\n5 5\\n7 4\\n1 10\\n9 2\\n2 8\\n6 10\\n9 8\\n1 5\\n7 2\\n10 3\\n3 8\\n3 10\\n1 1\\n10 7\\n1 3\\n1 8\\n10 2\\n6 10\\n\",\n \"10 45\\n3 7\\n2 3\\n4 8\\n2 5\\n6 8\\n7 7\\n3 1\\n3 7\\n5 10\\n6 2\\n9 3\\n3 1\\n2 10\\n6 7\\n1 7\\n7 9\\n6 9\\n9 3\\n2 2\\n2 6\\n3 6\\n5 8\\n4 8\\n10 8\\n7 8\\n4 6\\n9 1\\n5 5\\n7 4\\n1 10\\n9 2\\n2 8\\n6 10\\n9 8\\n1 5\\n7 2\\n10 3\\n3 8\\n2 10\\n1 1\\n10 7\\n1 3\\n1 8\\n10 2\\n6 10\\n\",\n \"10 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3\\n4 2\\n2 6\\n5 6\\n5 8\\n3 4\\n10 8\\n7 8\\n4 6\\n9 1\\n5 5\\n7 4\\n1 10\\n9 2\\n2 8\\n6 10\\n9 8\\n1 5\\n7 2\\n10 6\\n3 8\\n2 10\\n1 1\\n10 7\\n1 3\\n1 8\\n10 2\\n4 10\\n\",\n \"10 45\\n3 5\\n2 3\\n4 8\\n3 5\\n6 8\\n5 7\\n2 1\\n3 7\\n5 10\\n6 1\\n9 8\\n3 1\\n2 10\\n8 7\\n1 7\\n7 9\\n6 9\\n9 3\\n2 2\\n2 6\\n5 6\\n5 8\\n6 4\\n10 8\\n7 8\\n4 6\\n9 1\\n5 5\\n7 4\\n1 10\\n9 2\\n2 8\\n6 10\\n9 8\\n1 5\\n7 2\\n9 3\\n3 8\\n2 10\\n1 1\\n10 7\\n1 3\\n1 8\\n10 2\\n4 10\\n\",\n \"10 45\\n3 5\\n2 3\\n4 8\\n2 5\\n9 8\\n5 7\\n2 1\\n4 7\\n5 10\\n6 2\\n9 4\\n3 6\\n9 10\\n6 7\\n1 7\\n7 9\\n6 9\\n9 3\\n4 2\\n2 6\\n5 6\\n5 8\\n3 4\\n10 8\\n7 8\\n4 6\\n9 1\\n5 9\\n7 4\\n1 10\\n9 2\\n2 8\\n6 10\\n9 8\\n1 5\\n7 2\\n10 3\\n3 8\\n4 10\\n4 1\\n10 7\\n1 3\\n1 8\\n10 2\\n4 5\\n\",\n \"20 20\\n16 3\\n15 1\\n6 14\\n13 19\\n7 13\\n3 13\\n3 2\\n17 12\\n14 20\\n19 10\\n4 11\\n3 8\\n18 4\\n12 7\\n6 3\\n11 13\\n17 19\\n5 14\\n9 2\\n11 1\\n\",\n \"10 45\\n3 5\\n2 3\\n4 8\\n2 5\\n6 7\\n5 7\\n4 1\\n3 7\\n5 10\\n6 1\\n9 4\\n3 7\\n9 10\\n6 7\\n1 7\\n7 9\\n6 9\\n9 3\\n4 2\\n2 6\\n5 6\\n5 8\\n3 4\\n10 8\\n7 8\\n4 6\\n9 1\\n5 5\\n7 4\\n1 10\\n9 2\\n2 8\\n6 10\\n9 8\\n1 5\\n7 2\\n10 3\\n3 8\\n4 10\\n4 1\\n10 7\\n1 3\\n1 8\\n10 2\\n4 5\\n\"\n ],\n \"output\": [\n \"0\",\n \"1\",\n \"1\",\n \"0\",\n \"0\",\n \"1\",\n \"0\",\n \"0\",\n \"0\\n\",\n \"1\\n\",\n \"0\\n\",\n \"0\\n\",\n \"0\\n\",\n \"0\\n\",\n \"0\\n\",\n \"0\\n\",\n \"0\\n\",\n \"0\\n\",\n \"0\\n\",\n \"0\\n\",\n \"0\\n\",\n \"0\\n\",\n \"0\\n\",\n \"0\\n\",\n \"0\\n\",\n \"0\\n\",\n \"0\\n\",\n \"0\\n\",\n \"0\\n\",\n \"0\\n\",\n \"0\\n\",\n \"0\\n\",\n \"0\\n\",\n \"0\\n\",\n \"0\\n\",\n \"0\\n\",\n \"0\\n\",\n \"0\\n\",\n \"0\\n\",\n \"0\\n\",\n \"0\\n\",\n \"0\\n\",\n \"0\\n\",\n \"0\\n\",\n \"0\\n\",\n \"0\\n\",\n \"0\\n\",\n \"0\\n\",\n \"0\\n\",\n \"0\\n\",\n \"0\\n\",\n \"1\\n\",\n \"0\\n\",\n \"0\\n\",\n \"0\\n\",\n \"0\\n\",\n \"0\\n\",\n \"0\\n\",\n \"0\\n\",\n \"0\\n\",\n \"0\\n\",\n \"0\\n\",\n \"0\\n\",\n \"0\\n\",\n \"0\\n\",\n 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| description
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| code
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class label 4
classes | test_samples
sequence | source
class label 5
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1330_B. Dreamoon Likes Permutations_38200 | The sequence of m integers is called the permutation if it contains all integers from 1 to m exactly once. The number m is called the length of the permutation.
Dreamoon has two permutations p_1 and p_2 of non-zero lengths l_1 and l_2.
Now Dreamoon concatenates these two permutations into another sequence a of length l_1 + l_2. First l_1 elements of a is the permutation p_1 and next l_2 elements of a is the permutation p_2.
You are given the sequence a, and you need to find two permutations p_1 and p_2. If there are several possible ways to restore them, you should find all of them. (Note that it is also possible that there will be no ways.)
Input
The first line contains an integer t (1 ≤ t ≤ 10 000) denoting the number of test cases in the input.
Each test case contains two lines. The first line contains one integer n (2 ≤ n ≤ 200 000): the length of a. The second line contains n integers a_1, a_2, …, a_n (1 ≤ a_i ≤ n-1).
The total sum of n is less than 200 000.
Output
For each test case, the first line of output should contain one integer k: the number of ways to divide a into permutations p_1 and p_2.
Each of the next k lines should contain two integers l_1 and l_2 (1 ≤ l_1, l_2 ≤ n, l_1 + l_2 = n), denoting, that it is possible to divide a into two permutations of length l_1 and l_2 (p_1 is the first l_1 elements of a, and p_2 is the last l_2 elements of a). You can print solutions in any order.
Example
Input
6
5
1 4 3 2 1
6
2 4 1 3 2 1
4
2 1 1 3
4
1 3 3 1
12
2 1 3 4 5 6 7 8 9 1 10 2
3
1 1 1
Output
2
1 4
4 1
1
4 2
0
0
1
2 10
0
Note
In the first example, two possible ways to divide a into permutations are \{1\} + \{4, 3, 2, 1\} and \{1,4,3,2\} + \{1\}.
In the second example, the only way to divide a into permutations is \{2,4,1,3\} + \{2,1\}.
In the third example, there are no possible ways. | #include <bits/stdc++.h>
using namespace std;
int main() {
unordered_set<int> st;
int t;
cin >> t;
while (t--) {
int n;
cin >> n;
vector<int> a(n);
for (int& x : a) {
cin >> x;
}
st.clear();
int max_a = 0;
unordered_set<int> idx1;
for (int i = 0; i < n; i++) {
max_a = max(max_a, a[i]);
if (st.find(a[i]) != st.end()) {
break;
}
st.insert(a[i]);
if (i + 1 == max_a && i + 1 < n) {
idx1.insert(i + 1);
}
}
reverse(a.begin(), a.end());
st.clear();
max_a = 0;
unordered_set<int> idx2;
for (int i = 0; i < n; i++) {
max_a = max(max_a, a[i]);
if (st.find(a[i]) != st.end()) {
break;
}
st.insert(a[i]);
if (i + 1 == max_a && i + 1 < n) {
if (idx1.find(n - (i + 1)) != idx1.end()) idx2.insert(n - (i + 1));
}
}
cout << idx2.size() << endl;
for (int i : idx2) {
cout << i << " " << n - i << endl;
}
}
return 0;
}
| 2C++
| {
"input": [
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"6\n5\n1 4 3 1 1\n6\n2 4 1 3 2 1\n4\n2 1 1 3\n4\n1 3 3 1\n12\n2 1 3 4 5 6 7 8 9 1 10 2\n3\n1 1 1\n",
"6\n5\n1 4 3 2 1\n6\n2 4 1 3 3 1\n4\n2 1 1 3\n4\n1 3 3 1\n12\n2 1 3 4 5 6 7 8 9 1 10 2\n3\n1 1 1\n",
"6\n5\n1 4 3 1 1\n6\n2 4 1 4 2 1\n4\n2 1 1 3\n4\n1 3 3 1\n12\n2 1 3 4 5 6 7 8 9 1 10 2\n3\n1 1 1\n",
"6\n5\n1 4 3 2 1\n6\n2 4 1 3 3 1\n4\n2 1 1 3\n4\n1 3 3 1\n12\n2 1 3 4 3 6 7 8 9 1 10 2\n3\n1 1 1\n",
"6\n5\n1 4 3 2 1\n6\n2 4 1 3 3 1\n4\n2 1 1 3\n4\n1 3 3 1\n12\n2 1 3 4 3 6 7 8 9 1 10 3\n3\n1 1 2\n",
"6\n5\n1 2 3 2 1\n6\n2 3 1 3 3 1\n4\n2 2 1 3\n4\n1 3 3 1\n12\n2 1 5 4 3 6 7 8 9 1 10 3\n3\n1 1 2\n",
"6\n5\n1 4 3 2 1\n6\n2 4 1 3 3 1\n4\n2 1 1 3\n4\n1 3 3 1\n12\n2 1 3 4 5 6 7 8 10 1 10 2\n3\n1 2 1\n",
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"6\n5\n1 4 3 2 1\n6\n2 3 1 3 3 1\n4\n2 2 1 3\n4\n2 3 3 1\n12\n2 1 10 4 3 6 7 8 9 1 10 3\n3\n1 1 2\n",
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"6\n5\n1 4 3 2 1\n6\n2 3 1 3 3 1\n4\n2 2 1 3\n4\n1 3 1 1\n12\n2 1 10 4 3 6 7 8 9 1 10 3\n3\n1 1 2\n",
"6\n5\n1 4 3 2 1\n6\n2 4 1 3 3 1\n4\n2 1 1 3\n4\n1 3 3 1\n12\n2 1 3 4 5 6 7 8 10 1 10 2\n3\n2 2 1\n",
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"6\n5\n1 4 3 2 1\n6\n2 3 1 3 3 1\n4\n2 3 1 3\n4\n2 3 3 1\n12\n2 1 10 4 3 6 7 8 9 1 10 3\n3\n1 1 2\n",
"6\n5\n1 4 3 2 1\n6\n2 4 1 3 3 1\n4\n2 1 1 3\n4\n1 3 3 1\n12\n2 1 6 4 4 6 7 8 9 1 10 3\n3\n1 1 2\n",
"6\n5\n1 4 3 2 1\n6\n2 3 1 3 3 1\n4\n2 2 1 3\n4\n2 3 3 1\n12\n2 1 3 4 3 6 7 8 9 1 10 6\n3\n1 1 2\n",
"6\n5\n1 4 3 2 1\n6\n2 2 1 1 3 1\n4\n2 1 1 3\n4\n1 3 3 1\n12\n2 1 2 4 3 6 7 8 9 1 10 3\n3\n1 1 1\n",
"6\n5\n1 4 3 2 1\n6\n2 4 1 3 3 1\n4\n2 1 1 3\n4\n1 3 3 1\n12\n2 1 3 4 3 6 11 8 9 2 10 3\n3\n1 2 2\n",
"6\n5\n1 4 3 2 1\n6\n2 4 1 3 3 1\n4\n2 1 1 3\n4\n1 3 3 2\n12\n2 1 3 4 5 6 7 8 10 1 10 2\n3\n2 2 1\n",
"6\n5\n1 4 3 2 1\n6\n2 4 1 3 3 1\n4\n1 1 1 3\n4\n1 3 3 1\n12\n2 1 3 1 3 6 11 8 6 1 10 3\n3\n1 1 2\n",
"6\n5\n1 4 3 2 1\n6\n2 1 1 3 3 1\n4\n2 1 1 3\n4\n1 3 3 1\n12\n2 1 3 4 3 6 11 8 9 2 10 3\n3\n1 2 2\n",
"6\n5\n1 4 3 2 1\n6\n2 4 1 3 3 1\n4\n2 1 1 3\n4\n1 3 3 2\n12\n2 1 3 4 5 6 11 8 10 1 10 2\n3\n2 2 1\n",
"6\n5\n1 4 3 2 1\n6\n2 4 1 3 3 1\n4\n2 2 1 3\n4\n1 3 3 2\n12\n2 1 3 4 5 6 11 8 10 1 10 2\n3\n2 2 1\n",
"6\n5\n1 4 3 2 1\n6\n2 4 1 3 3 1\n4\n2 2 1 3\n4\n1 3 2 2\n12\n2 1 3 4 5 6 11 8 10 1 10 2\n3\n2 2 1\n",
"6\n5\n1 4 3 2 1\n6\n2 4 1 3 3 1\n4\n2 1 1 3\n4\n1 3 3 1\n12\n2 1 3 4 3 6 7 8 6 1 10 2\n3\n1 1 1\n",
"6\n5\n1 4 3 2 1\n6\n2 4 2 3 3 1\n4\n2 1 1 3\n4\n1 3 3 1\n12\n2 1 3 4 3 6 7 8 9 1 10 3\n3\n1 1 2\n",
"6\n5\n1 4 3 2 1\n6\n2 3 1 3 3 1\n4\n2 2 1 2\n4\n1 3 3 1\n12\n2 1 5 4 3 6 7 8 9 1 10 3\n3\n1 1 2\n",
"6\n5\n1 4 3 2 1\n6\n2 4 1 3 3 1\n4\n2 1 1 1\n4\n1 3 3 1\n12\n2 1 3 4 3 6 7 3 9 1 10 2\n3\n1 1 1\n",
"6\n5\n1 4 3 2 1\n6\n2 4 1 1 3 1\n4\n2 1 1 1\n4\n1 3 3 1\n12\n2 1 3 4 3 6 7 8 9 1 10 3\n3\n1 1 1\n",
"6\n5\n1 4 3 2 1\n6\n1 4 1 3 3 1\n4\n2 1 1 3\n4\n1 3 3 1\n12\n2 1 3 4 3 6 11 8 9 1 10 3\n3\n1 1 2\n",
"6\n5\n1 4 3 2 1\n6\n2 3 1 3 3 1\n4\n2 2 1 3\n4\n1 3 3 1\n12\n2 1 10 4 3 6 9 8 9 1 10 3\n3\n1 1 2\n",
"6\n5\n2 4 3 2 1\n6\n2 4 1 3 3 1\n4\n2 1 1 1\n4\n1 3 3 1\n12\n2 1 4 4 3 6 7 8 9 1 10 2\n3\n1 1 1\n",
"6\n5\n1 4 3 2 1\n6\n2 4 1 3 3 1\n4\n2 1 1 3\n4\n1 3 3 2\n12\n2 1 3 4 3 6 11 8 6 1 10 3\n3\n1 1 2\n",
"6\n5\n1 4 3 2 1\n6\n2 4 1 3 3 1\n4\n2 1 1 3\n4\n1 3 3 1\n12\n2 1 3 5 5 6 7 8 9 1 10 2\n3\n1 2 1\n",
"6\n5\n1 4 3 2 1\n6\n2 4 1 3 3 1\n4\n2 2 1 3\n4\n1 3 3 1\n12\n2 1 6 4 3 6 7 8 9 1 10 3\n3\n1 1 2\n",
"6\n5\n1 4 3 2 1\n6\n2 3 1 3 3 1\n4\n2 2 1 3\n4\n1 3 3 1\n12\n2 2 3 4 3 6 7 8 9 1 10 6\n3\n1 1 2\n",
"6\n5\n1 4 3 2 1\n6\n2 2 1 1 3 1\n4\n2 1 1 3\n4\n1 3 3 1\n12\n2 1 3 4 3 6 7 8 9 1 10 2\n3\n1 1 1\n",
"6\n5\n1 4 3 2 1\n6\n2 4 1 3 3 1\n4\n2 1 1 3\n4\n1 3 3 1\n12\n2 1 3 4 3 6 11 8 9 2 10 3\n3\n2 1 2\n",
"6\n5\n1 4 3 2 1\n6\n2 4 1 3 3 1\n4\n2 1 1 3\n4\n1 3 3 1\n12\n2 1 3 1 3 6 11 8 6 1 10 1\n3\n1 1 2\n",
"6\n5\n1 4 3 2 1\n6\n2 3 1 3 3 1\n4\n2 3 1 3\n4\n2 3 3 1\n12\n2 1 10 4 3 6 7 8 9 1 7 3\n3\n1 1 2\n",
"6\n5\n1 4 3 2 2\n6\n2 2 1 1 3 1\n4\n2 1 1 3\n4\n1 3 3 1\n12\n2 1 2 4 3 6 7 8 9 1 10 3\n3\n1 1 1\n",
"6\n5\n1 4 3 2 1\n6\n2 4 2 3 3 1\n4\n2 1 1 3\n4\n1 3 3 1\n12\n2 1 3 4 3 6 11 8 9 2 10 3\n3\n1 2 2\n",
"6\n5\n1 4 3 2 1\n6\n2 4 1 3 3 1\n4\n1 1 1 3\n4\n1 3 3 1\n12\n2 1 3 1 3 5 11 8 6 1 10 3\n3\n1 1 2\n",
"6\n5\n1 4 3 2 1\n6\n2 2 1 3 2 1\n4\n2 1 1 3\n4\n1 3 3 1\n12\n2 1 3 4 5 5 7 8 9 1 10 2\n3\n1 1 1\n",
"6\n5\n1 4 3 2 1\n6\n2 3 1 3 3 1\n4\n2 2 1 2\n4\n1 3 3 1\n12\n2 1 5 4 3 6 7 8 9 1 10 3\n3\n2 1 2\n",
"6\n5\n1 4 3 2 1\n6\n2 4 1 1 3 2\n4\n2 1 1 1\n4\n1 3 3 1\n12\n2 1 3 4 3 6 7 8 9 1 10 3\n3\n1 1 1\n",
"6\n5\n1 4 3 2 1\n6\n1 4 1 3 3 1\n4\n2 1 1 3\n4\n1 3 3 1\n12\n2 1 3 4 3 6 11 8 9 1 10 3\n3\n2 1 2\n",
"6\n5\n2 4 3 2 1\n6\n2 4 1 3 3 1\n4\n2 1 1 1\n4\n1 3 3 1\n12\n2 1 4 4 2 6 7 8 9 1 10 2\n3\n1 1 1\n",
"6\n5\n1 4 3 2 1\n6\n2 3 1 3 3 1\n4\n2 2 1 3\n4\n1 3 3 1\n12\n2 2 3 4 3 6 7 8 9 2 10 6\n3\n1 1 2\n"
],
"output": [
"2\n1 4\n4 1\n1\n4 2\n0\n0\n1\n2 10\n0\n",
"0\n1\n4 2\n0\n0\n1\n2 10\n0\n",
"2\n1 4\n4 1\n0\n0\n0\n1\n2 10\n0\n",
"0\n0\n0\n0\n1\n2 10\n0\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n0\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n1\n1 2\n",
"2\n2 3\n3 2\n0\n0\n0\n0\n1\n1 2\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n2\n1 2\n2 1\n",
"0\n0\n0\n0\n0\n0\n",
"0\n0\n0\n0\n0\n2\n1 2\n2 1\n",
"0\n0\n0\n0\n0\n1\n1 2\n",
"2\n1 4\n4 1\n0\n0\n1\n3 1\n0\n1\n1 2\n",
"2\n1 4\n4 1\n0\n0\n1\n3 1\n0\n0\n",
"2\n1 4\n4 1\n1\n4 2\n0\n0\n0\n0\n",
"2\n1 4\n4 1\n0\n1\n2 2\n0\n1\n2 10\n0\n",
"2\n2 3\n3 2\n0\n0\n0\n0\n0\n",
"2\n1 4\n4 1\n0\n1\n2 2\n0\n0\n2\n1 2\n2 1\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n0\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n1\n1 2\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n1\n1 2\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n1\n1 2\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n0\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n0\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n0\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n1\n1 2\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n1\n1 2\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n1\n1 2\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n1\n1 2\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n0\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n1\n1 2\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n1\n1 2\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n0\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n1\n1 2\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n1\n1 2\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n0\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n1\n1 2\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n1\n1 2\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n1\n1 2\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n1\n1 2\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n0\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n0\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n0\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n1\n1 2\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n0\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n0\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n0\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n0\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n0\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n1\n1 2\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n1\n1 2\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n0\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n0\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n1\n1 2\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n1\n1 2\n",
"0\n0\n0\n0\n0\n0\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n1\n1 2\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n2\n1 2\n2 1\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n1\n1 2\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n1\n1 2\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n0\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n0\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n1\n1 2\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n1\n1 2\n",
"0\n0\n0\n0\n0\n0\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n0\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n1\n1 2\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n0\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n0\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n0\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n0\n",
"0\n0\n0\n0\n0\n0\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n1\n1 2\n"
]
} | 2CODEFORCES
|
1330_B. Dreamoon Likes Permutations_38201 | The sequence of m integers is called the permutation if it contains all integers from 1 to m exactly once. The number m is called the length of the permutation.
Dreamoon has two permutations p_1 and p_2 of non-zero lengths l_1 and l_2.
Now Dreamoon concatenates these two permutations into another sequence a of length l_1 + l_2. First l_1 elements of a is the permutation p_1 and next l_2 elements of a is the permutation p_2.
You are given the sequence a, and you need to find two permutations p_1 and p_2. If there are several possible ways to restore them, you should find all of them. (Note that it is also possible that there will be no ways.)
Input
The first line contains an integer t (1 ≤ t ≤ 10 000) denoting the number of test cases in the input.
Each test case contains two lines. The first line contains one integer n (2 ≤ n ≤ 200 000): the length of a. The second line contains n integers a_1, a_2, …, a_n (1 ≤ a_i ≤ n-1).
The total sum of n is less than 200 000.
Output
For each test case, the first line of output should contain one integer k: the number of ways to divide a into permutations p_1 and p_2.
Each of the next k lines should contain two integers l_1 and l_2 (1 ≤ l_1, l_2 ≤ n, l_1 + l_2 = n), denoting, that it is possible to divide a into two permutations of length l_1 and l_2 (p_1 is the first l_1 elements of a, and p_2 is the last l_2 elements of a). You can print solutions in any order.
Example
Input
6
5
1 4 3 2 1
6
2 4 1 3 2 1
4
2 1 1 3
4
1 3 3 1
12
2 1 3 4 5 6 7 8 9 1 10 2
3
1 1 1
Output
2
1 4
4 1
1
4 2
0
0
1
2 10
0
Note
In the first example, two possible ways to divide a into permutations are \{1\} + \{4, 3, 2, 1\} and \{1,4,3,2\} + \{1\}.
In the second example, the only way to divide a into permutations is \{2,4,1,3\} + \{2,1\}.
In the third example, there are no possible ways. | import sys
input = sys.stdin.readline
Q = int(input())
Query = []
for _ in range(Q):
N = int(input())
A = list(map(int, input().split()))
Query.append((N, A))
for N, A in Query:
leftOK = [True]*(N+1)
already = set()
MAX = 0
for i, a in enumerate(A):
if a in already:
ok = False
else:
already.add(a)
MAX = max(MAX, a)
if len(already) == i+1 and MAX == i+1:
ok = True
else:
ok = False
leftOK[i+1] = ok
rightOK = [True]*(N+1)
already = set()
MAX = 0
for i in reversed(range(N)):
a = A[i]
if a in already:
ok = False
else:
already.add(a)
MAX = max(MAX, a)
if len(already) == MAX and MAX == N-(i):
ok = True
else:
ok = False
rightOK[i] = ok
ans = []
for n in range(1, N):
if leftOK[n] and rightOK[n]:
ans.append(str(n) + " " + str(N-n))
print(len(ans))
print("\n".join(ans)) | 3Python3
| {
"input": [
"6\n5\n1 4 3 2 1\n6\n2 4 1 3 2 1\n4\n2 1 1 3\n4\n1 3 3 1\n12\n2 1 3 4 5 6 7 8 9 1 10 2\n3\n1 1 1\n",
"6\n5\n1 4 3 1 1\n6\n2 4 1 3 2 1\n4\n2 1 1 3\n4\n1 3 3 1\n12\n2 1 3 4 5 6 7 8 9 1 10 2\n3\n1 1 1\n",
"6\n5\n1 4 3 2 1\n6\n2 4 1 3 3 1\n4\n2 1 1 3\n4\n1 3 3 1\n12\n2 1 3 4 5 6 7 8 9 1 10 2\n3\n1 1 1\n",
"6\n5\n1 4 3 1 1\n6\n2 4 1 4 2 1\n4\n2 1 1 3\n4\n1 3 3 1\n12\n2 1 3 4 5 6 7 8 9 1 10 2\n3\n1 1 1\n",
"6\n5\n1 4 3 2 1\n6\n2 4 1 3 3 1\n4\n2 1 1 3\n4\n1 3 3 1\n12\n2 1 3 4 3 6 7 8 9 1 10 2\n3\n1 1 1\n",
"6\n5\n1 4 3 2 1\n6\n2 4 1 3 3 1\n4\n2 1 1 3\n4\n1 3 3 1\n12\n2 1 3 4 3 6 7 8 9 1 10 3\n3\n1 1 2\n",
"6\n5\n1 2 3 2 1\n6\n2 3 1 3 3 1\n4\n2 2 1 3\n4\n1 3 3 1\n12\n2 1 5 4 3 6 7 8 9 1 10 3\n3\n1 1 2\n",
"6\n5\n1 4 3 2 1\n6\n2 4 1 3 3 1\n4\n2 1 1 3\n4\n1 3 3 1\n12\n2 1 3 4 5 6 7 8 10 1 10 2\n3\n1 2 1\n",
"6\n5\n2 4 3 2 1\n6\n2 4 1 3 3 1\n4\n2 1 1 1\n4\n1 3 3 1\n12\n2 1 3 4 3 6 7 8 9 1 10 2\n3\n1 1 1\n",
"6\n5\n1 4 3 1 1\n6\n2 4 1 3 3 1\n4\n2 1 1 3\n4\n1 3 3 1\n12\n2 1 3 4 5 6 7 8 10 1 10 2\n3\n1 2 1\n",
"6\n5\n2 4 3 2 1\n6\n2 4 1 3 3 1\n4\n2 2 1 3\n4\n1 3 3 1\n12\n2 1 3 4 3 6 7 8 9 1 10 3\n3\n1 1 2\n",
"6\n5\n1 4 3 2 1\n6\n2 3 1 3 3 1\n4\n2 2 1 3\n4\n2 3 1 1\n12\n2 1 10 4 3 6 7 8 9 1 10 3\n3\n1 1 2\n",
"6\n5\n1 4 3 2 1\n6\n2 3 1 3 3 1\n4\n2 2 1 3\n4\n2 3 1 1\n12\n2 1 10 4 3 6 7 8 9 1 10 3\n3\n1 1 1\n",
"6\n5\n1 4 3 2 1\n6\n2 4 1 3 2 1\n4\n2 1 1 3\n4\n1 3 3 1\n12\n2 1 3 4 5 5 7 8 9 1 10 2\n3\n1 1 1\n",
"6\n5\n1 4 3 2 1\n6\n2 4 1 3 3 1\n4\n2 1 1 2\n4\n1 3 3 1\n12\n2 1 3 4 5 6 7 8 9 1 10 2\n3\n1 1 1\n",
"6\n5\n1 2 3 2 1\n6\n2 4 1 3 3 1\n4\n2 1 1 1\n4\n1 3 3 1\n12\n2 1 3 4 3 6 7 3 9 1 10 2\n3\n1 1 1\n",
"6\n5\n1 4 3 2 1\n6\n2 4 1 3 3 1\n4\n2 1 1 2\n4\n1 3 3 1\n12\n2 1 3 5 5 6 7 8 9 1 10 2\n3\n1 2 1\n",
"6\n5\n1 4 3 2 1\n6\n2 4 1 3 3 1\n4\n2 1 1 3\n4\n1 3 3 1\n12\n2 1 3 4 3 6 7 8 9 1 10 3\n3\n1 1 1\n",
"6\n5\n1 4 3 2 1\n6\n2 4 1 3 3 1\n4\n2 2 1 3\n4\n1 3 3 1\n12\n2 1 3 4 3 6 7 8 9 1 10 3\n3\n1 1 2\n",
"6\n5\n1 4 3 2 1\n6\n2 3 1 3 3 1\n4\n2 2 1 3\n4\n1 3 3 1\n12\n2 1 3 4 3 6 7 8 9 1 10 3\n3\n1 1 2\n",
"6\n5\n1 4 3 2 1\n6\n2 3 1 3 3 1\n4\n2 2 1 3\n4\n1 3 3 1\n12\n2 1 5 4 3 6 7 8 9 1 10 3\n3\n1 1 2\n",
"6\n5\n1 4 3 2 1\n6\n2 4 1 3 3 1\n4\n2 1 1 3\n4\n1 3 3 1\n12\n2 1 3 4 5 6 7 8 10 1 10 2\n3\n1 1 1\n",
"6\n5\n1 4 3 2 1\n6\n2 4 1 3 3 1\n4\n2 1 1 1\n4\n1 3 3 1\n12\n2 1 3 4 3 6 7 8 9 1 10 2\n3\n1 1 1\n",
"6\n5\n1 4 3 2 1\n6\n2 4 1 1 3 1\n4\n2 1 1 3\n4\n1 3 3 1\n12\n2 1 3 4 3 6 7 8 9 1 10 3\n3\n1 1 1\n",
"6\n5\n1 4 3 2 1\n6\n2 4 1 3 3 1\n4\n2 1 1 3\n4\n1 3 3 1\n12\n2 1 3 4 3 6 11 8 9 1 10 3\n3\n1 1 2\n",
"6\n5\n1 4 3 2 1\n6\n2 3 1 3 3 1\n4\n2 2 1 3\n4\n1 3 3 1\n12\n2 1 10 4 3 6 7 8 9 1 10 3\n3\n1 1 2\n",
"6\n5\n1 4 3 2 1\n6\n2 4 1 3 3 1\n4\n2 1 1 3\n4\n1 3 3 1\n12\n2 1 3 4 3 6 11 8 6 1 10 3\n3\n1 1 2\n",
"6\n5\n1 4 3 2 1\n6\n2 3 1 3 3 1\n4\n2 2 1 3\n4\n2 3 3 1\n12\n2 1 10 4 3 6 7 8 9 1 10 3\n3\n1 1 2\n",
"6\n5\n1 4 3 2 1\n6\n2 4 1 3 3 1\n4\n2 1 1 3\n4\n1 3 3 1\n12\n2 1 3 5 5 6 7 8 9 1 10 2\n3\n1 1 1\n",
"6\n5\n1 4 3 2 1\n6\n2 4 1 3 3 1\n4\n2 1 1 3\n4\n1 3 3 1\n12\n2 1 6 4 3 6 7 8 9 1 10 3\n3\n1 1 2\n",
"6\n5\n1 4 3 2 1\n6\n2 3 1 3 3 1\n4\n2 2 1 3\n4\n1 3 3 1\n12\n2 1 3 4 3 6 7 8 9 1 10 6\n3\n1 1 2\n",
"6\n5\n1 4 3 2 1\n6\n2 2 1 1 3 1\n4\n2 1 1 3\n4\n1 3 3 1\n12\n2 1 3 4 3 6 7 8 9 1 10 3\n3\n1 1 1\n",
"6\n5\n1 4 3 2 1\n6\n2 4 1 3 3 1\n4\n2 1 1 3\n4\n1 3 3 1\n12\n2 1 3 4 3 6 11 8 9 2 10 3\n3\n1 1 2\n",
"6\n5\n1 4 3 2 1\n6\n2 3 1 3 3 1\n4\n2 2 1 3\n4\n1 3 1 1\n12\n2 1 10 4 3 6 7 8 9 1 10 3\n3\n1 1 2\n",
"6\n5\n1 4 3 2 1\n6\n2 4 1 3 3 1\n4\n2 1 1 3\n4\n1 3 3 1\n12\n2 1 3 4 5 6 7 8 10 1 10 2\n3\n2 2 1\n",
"6\n5\n1 4 3 2 1\n6\n2 4 1 3 3 1\n4\n2 1 1 3\n4\n1 3 3 1\n12\n2 1 3 1 3 6 11 8 6 1 10 3\n3\n1 1 2\n",
"6\n5\n1 4 3 2 1\n6\n2 3 1 3 3 1\n4\n2 3 1 3\n4\n2 3 3 1\n12\n2 1 10 4 3 6 7 8 9 1 10 3\n3\n1 1 2\n",
"6\n5\n1 4 3 2 1\n6\n2 4 1 3 3 1\n4\n2 1 1 3\n4\n1 3 3 1\n12\n2 1 6 4 4 6 7 8 9 1 10 3\n3\n1 1 2\n",
"6\n5\n1 4 3 2 1\n6\n2 3 1 3 3 1\n4\n2 2 1 3\n4\n2 3 3 1\n12\n2 1 3 4 3 6 7 8 9 1 10 6\n3\n1 1 2\n",
"6\n5\n1 4 3 2 1\n6\n2 2 1 1 3 1\n4\n2 1 1 3\n4\n1 3 3 1\n12\n2 1 2 4 3 6 7 8 9 1 10 3\n3\n1 1 1\n",
"6\n5\n1 4 3 2 1\n6\n2 4 1 3 3 1\n4\n2 1 1 3\n4\n1 3 3 1\n12\n2 1 3 4 3 6 11 8 9 2 10 3\n3\n1 2 2\n",
"6\n5\n1 4 3 2 1\n6\n2 4 1 3 3 1\n4\n2 1 1 3\n4\n1 3 3 2\n12\n2 1 3 4 5 6 7 8 10 1 10 2\n3\n2 2 1\n",
"6\n5\n1 4 3 2 1\n6\n2 4 1 3 3 1\n4\n1 1 1 3\n4\n1 3 3 1\n12\n2 1 3 1 3 6 11 8 6 1 10 3\n3\n1 1 2\n",
"6\n5\n1 4 3 2 1\n6\n2 1 1 3 3 1\n4\n2 1 1 3\n4\n1 3 3 1\n12\n2 1 3 4 3 6 11 8 9 2 10 3\n3\n1 2 2\n",
"6\n5\n1 4 3 2 1\n6\n2 4 1 3 3 1\n4\n2 1 1 3\n4\n1 3 3 2\n12\n2 1 3 4 5 6 11 8 10 1 10 2\n3\n2 2 1\n",
"6\n5\n1 4 3 2 1\n6\n2 4 1 3 3 1\n4\n2 2 1 3\n4\n1 3 3 2\n12\n2 1 3 4 5 6 11 8 10 1 10 2\n3\n2 2 1\n",
"6\n5\n1 4 3 2 1\n6\n2 4 1 3 3 1\n4\n2 2 1 3\n4\n1 3 2 2\n12\n2 1 3 4 5 6 11 8 10 1 10 2\n3\n2 2 1\n",
"6\n5\n1 4 3 2 1\n6\n2 4 1 3 3 1\n4\n2 1 1 3\n4\n1 3 3 1\n12\n2 1 3 4 3 6 7 8 6 1 10 2\n3\n1 1 1\n",
"6\n5\n1 4 3 2 1\n6\n2 4 2 3 3 1\n4\n2 1 1 3\n4\n1 3 3 1\n12\n2 1 3 4 3 6 7 8 9 1 10 3\n3\n1 1 2\n",
"6\n5\n1 4 3 2 1\n6\n2 3 1 3 3 1\n4\n2 2 1 2\n4\n1 3 3 1\n12\n2 1 5 4 3 6 7 8 9 1 10 3\n3\n1 1 2\n",
"6\n5\n1 4 3 2 1\n6\n2 4 1 3 3 1\n4\n2 1 1 1\n4\n1 3 3 1\n12\n2 1 3 4 3 6 7 3 9 1 10 2\n3\n1 1 1\n",
"6\n5\n1 4 3 2 1\n6\n2 4 1 1 3 1\n4\n2 1 1 1\n4\n1 3 3 1\n12\n2 1 3 4 3 6 7 8 9 1 10 3\n3\n1 1 1\n",
"6\n5\n1 4 3 2 1\n6\n1 4 1 3 3 1\n4\n2 1 1 3\n4\n1 3 3 1\n12\n2 1 3 4 3 6 11 8 9 1 10 3\n3\n1 1 2\n",
"6\n5\n1 4 3 2 1\n6\n2 3 1 3 3 1\n4\n2 2 1 3\n4\n1 3 3 1\n12\n2 1 10 4 3 6 9 8 9 1 10 3\n3\n1 1 2\n",
"6\n5\n2 4 3 2 1\n6\n2 4 1 3 3 1\n4\n2 1 1 1\n4\n1 3 3 1\n12\n2 1 4 4 3 6 7 8 9 1 10 2\n3\n1 1 1\n",
"6\n5\n1 4 3 2 1\n6\n2 4 1 3 3 1\n4\n2 1 1 3\n4\n1 3 3 2\n12\n2 1 3 4 3 6 11 8 6 1 10 3\n3\n1 1 2\n",
"6\n5\n1 4 3 2 1\n6\n2 4 1 3 3 1\n4\n2 1 1 3\n4\n1 3 3 1\n12\n2 1 3 5 5 6 7 8 9 1 10 2\n3\n1 2 1\n",
"6\n5\n1 4 3 2 1\n6\n2 4 1 3 3 1\n4\n2 2 1 3\n4\n1 3 3 1\n12\n2 1 6 4 3 6 7 8 9 1 10 3\n3\n1 1 2\n",
"6\n5\n1 4 3 2 1\n6\n2 3 1 3 3 1\n4\n2 2 1 3\n4\n1 3 3 1\n12\n2 2 3 4 3 6 7 8 9 1 10 6\n3\n1 1 2\n",
"6\n5\n1 4 3 2 1\n6\n2 2 1 1 3 1\n4\n2 1 1 3\n4\n1 3 3 1\n12\n2 1 3 4 3 6 7 8 9 1 10 2\n3\n1 1 1\n",
"6\n5\n1 4 3 2 1\n6\n2 4 1 3 3 1\n4\n2 1 1 3\n4\n1 3 3 1\n12\n2 1 3 4 3 6 11 8 9 2 10 3\n3\n2 1 2\n",
"6\n5\n1 4 3 2 1\n6\n2 4 1 3 3 1\n4\n2 1 1 3\n4\n1 3 3 1\n12\n2 1 3 1 3 6 11 8 6 1 10 1\n3\n1 1 2\n",
"6\n5\n1 4 3 2 1\n6\n2 3 1 3 3 1\n4\n2 3 1 3\n4\n2 3 3 1\n12\n2 1 10 4 3 6 7 8 9 1 7 3\n3\n1 1 2\n",
"6\n5\n1 4 3 2 2\n6\n2 2 1 1 3 1\n4\n2 1 1 3\n4\n1 3 3 1\n12\n2 1 2 4 3 6 7 8 9 1 10 3\n3\n1 1 1\n",
"6\n5\n1 4 3 2 1\n6\n2 4 2 3 3 1\n4\n2 1 1 3\n4\n1 3 3 1\n12\n2 1 3 4 3 6 11 8 9 2 10 3\n3\n1 2 2\n",
"6\n5\n1 4 3 2 1\n6\n2 4 1 3 3 1\n4\n1 1 1 3\n4\n1 3 3 1\n12\n2 1 3 1 3 5 11 8 6 1 10 3\n3\n1 1 2\n",
"6\n5\n1 4 3 2 1\n6\n2 2 1 3 2 1\n4\n2 1 1 3\n4\n1 3 3 1\n12\n2 1 3 4 5 5 7 8 9 1 10 2\n3\n1 1 1\n",
"6\n5\n1 4 3 2 1\n6\n2 3 1 3 3 1\n4\n2 2 1 2\n4\n1 3 3 1\n12\n2 1 5 4 3 6 7 8 9 1 10 3\n3\n2 1 2\n",
"6\n5\n1 4 3 2 1\n6\n2 4 1 1 3 2\n4\n2 1 1 1\n4\n1 3 3 1\n12\n2 1 3 4 3 6 7 8 9 1 10 3\n3\n1 1 1\n",
"6\n5\n1 4 3 2 1\n6\n1 4 1 3 3 1\n4\n2 1 1 3\n4\n1 3 3 1\n12\n2 1 3 4 3 6 11 8 9 1 10 3\n3\n2 1 2\n",
"6\n5\n2 4 3 2 1\n6\n2 4 1 3 3 1\n4\n2 1 1 1\n4\n1 3 3 1\n12\n2 1 4 4 2 6 7 8 9 1 10 2\n3\n1 1 1\n",
"6\n5\n1 4 3 2 1\n6\n2 3 1 3 3 1\n4\n2 2 1 3\n4\n1 3 3 1\n12\n2 2 3 4 3 6 7 8 9 2 10 6\n3\n1 1 2\n"
],
"output": [
"2\n1 4\n4 1\n1\n4 2\n0\n0\n1\n2 10\n0\n",
"0\n1\n4 2\n0\n0\n1\n2 10\n0\n",
"2\n1 4\n4 1\n0\n0\n0\n1\n2 10\n0\n",
"0\n0\n0\n0\n1\n2 10\n0\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n0\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n1\n1 2\n",
"2\n2 3\n3 2\n0\n0\n0\n0\n1\n1 2\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n2\n1 2\n2 1\n",
"0\n0\n0\n0\n0\n0\n",
"0\n0\n0\n0\n0\n2\n1 2\n2 1\n",
"0\n0\n0\n0\n0\n1\n1 2\n",
"2\n1 4\n4 1\n0\n0\n1\n3 1\n0\n1\n1 2\n",
"2\n1 4\n4 1\n0\n0\n1\n3 1\n0\n0\n",
"2\n1 4\n4 1\n1\n4 2\n0\n0\n0\n0\n",
"2\n1 4\n4 1\n0\n1\n2 2\n0\n1\n2 10\n0\n",
"2\n2 3\n3 2\n0\n0\n0\n0\n0\n",
"2\n1 4\n4 1\n0\n1\n2 2\n0\n0\n2\n1 2\n2 1\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n0\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n1\n1 2\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n1\n1 2\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n1\n1 2\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n0\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n0\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n0\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n1\n1 2\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n1\n1 2\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n1\n1 2\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n1\n1 2\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n0\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n1\n1 2\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n1\n1 2\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n0\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n1\n1 2\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n1\n1 2\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n0\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n1\n1 2\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n1\n1 2\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n1\n1 2\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n1\n1 2\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n0\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n0\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n0\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n1\n1 2\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n0\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n0\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n0\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n0\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n0\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n1\n1 2\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n1\n1 2\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n0\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n0\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n1\n1 2\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n1\n1 2\n",
"0\n0\n0\n0\n0\n0\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n1\n1 2\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n2\n1 2\n2 1\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n1\n1 2\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n1\n1 2\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n0\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n0\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n1\n1 2\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n1\n1 2\n",
"0\n0\n0\n0\n0\n0\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n0\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n1\n1 2\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n0\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n0\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n0\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n0\n",
"0\n0\n0\n0\n0\n0\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n1\n1 2\n"
]
} | 2CODEFORCES
|
1330_B. Dreamoon Likes Permutations_38202 | The sequence of m integers is called the permutation if it contains all integers from 1 to m exactly once. The number m is called the length of the permutation.
Dreamoon has two permutations p_1 and p_2 of non-zero lengths l_1 and l_2.
Now Dreamoon concatenates these two permutations into another sequence a of length l_1 + l_2. First l_1 elements of a is the permutation p_1 and next l_2 elements of a is the permutation p_2.
You are given the sequence a, and you need to find two permutations p_1 and p_2. If there are several possible ways to restore them, you should find all of them. (Note that it is also possible that there will be no ways.)
Input
The first line contains an integer t (1 ≤ t ≤ 10 000) denoting the number of test cases in the input.
Each test case contains two lines. The first line contains one integer n (2 ≤ n ≤ 200 000): the length of a. The second line contains n integers a_1, a_2, …, a_n (1 ≤ a_i ≤ n-1).
The total sum of n is less than 200 000.
Output
For each test case, the first line of output should contain one integer k: the number of ways to divide a into permutations p_1 and p_2.
Each of the next k lines should contain two integers l_1 and l_2 (1 ≤ l_1, l_2 ≤ n, l_1 + l_2 = n), denoting, that it is possible to divide a into two permutations of length l_1 and l_2 (p_1 is the first l_1 elements of a, and p_2 is the last l_2 elements of a). You can print solutions in any order.
Example
Input
6
5
1 4 3 2 1
6
2 4 1 3 2 1
4
2 1 1 3
4
1 3 3 1
12
2 1 3 4 5 6 7 8 9 1 10 2
3
1 1 1
Output
2
1 4
4 1
1
4 2
0
0
1
2 10
0
Note
In the first example, two possible ways to divide a into permutations are \{1\} + \{4, 3, 2, 1\} and \{1,4,3,2\} + \{1\}.
In the second example, the only way to divide a into permutations is \{2,4,1,3\} + \{2,1\}.
In the third example, there are no possible ways. |
import java.io.*;
import java.math.BigInteger;
import java.util.*;
public class Main {
static long sx = 0, sy = 0, mod = (long) (1e9 + 7);
static ArrayList<Integer>[] a;
static long[][][] dp;
static int[] size;
static long[] farr;
public static PrintWriter out;
static ArrayList<pair> pa = new ArrayList<>();
static long[] fact = new long[(int) 1e6];
static boolean b = false;
static StringBuilder sb = new StringBuilder();
static boolean cycle = false;
// static long m = 998244353;
static long[] no, col;
static String s;
static int k = 0, n = 0, m = 0;
static int[] c;
static long ans = 0;
static long[][] p;
static HashMap<Integer, Integer> hm;
public static void main(String[] args) throws IOException {
Scanner scn = new Scanner(new BufferedReader(new InputStreamReader(System.in)));
out = new PrintWriter(System.out);
// Reader scn = new Reader();
int t = scn.nextInt();
while (t-- != 0) {
int n = scn.nextInt();
int[] a = new int[n + 1];
for (int i = 1; i <= n; i++)
a[i] = scn.nextInt();
int[] lmin = new int[n + 1];
int[] lmax = new int[n + 1];
int[] rmin = new int[n + 1];
int[] rmax = new int[n + 1];
boolean[] b1 = new boolean[n + 1];
Arrays.fill(b1, true);
boolean[] b2 = new boolean[n + 1];
Arrays.fill(b2, true);
HashSet<Integer> hm = new HashSet<>();
lmin[1] = lmax[1] = a[1];
rmin[n] = rmax[n] = a[n];
hm.add(a[1]);
for (int i = 2; i <= n; i++) {
if (hm.contains(a[i]))
b1[i] = false;
b1[i] &= b1[i - 1];
lmin[i] = Math.min(a[i], lmin[i - 1]);
lmax[i] = Math.max(a[i], lmax[i - 1]);
hm.add(a[i]);
}
hm = new HashSet<>();
hm.add(a[n]);
for (int i = n - 1; i >= 1; i--) {
if (hm.contains(a[i]))
b2[i] = false;
b2[i] &= b2[i + 1];
rmin[i] = Math.min(rmin[i + 1], a[i]);
rmax[i] = Math.max(rmax[i + 1], a[i]);
hm.add(a[i]);
}
int ans = 0;
StringBuilder sb = new StringBuilder();
for (int i = 1; i <= n - 1; i++) {
if (lmin[i] == 1 && lmax[i] == i && rmin[i + 1] == 1 && rmax[i + 1] == n - i && b1[i] && b2[i+1]) {
ans++;
sb.append(i + " " + (n - i));
sb.append("\n");
}
hm.add(a[i]);
}
System.out.println(ans);
System.out.print(sb);
}
}
// _________________________TEMPLATE_____________________________________________________________
// public static long lcm(long x, long y) {
//
// return (x * y) / gcd(x, y);
// }
//
// private static long gcd(long x, long y) {
// if (x == 0)
// return y;
//
// return gcd(y % x, x);
// }
// static class comp implements Comparator<Integer> {
//
// @Override
// public int compare(Integer o1, Integer o2) {
// return depth[o2] - depth[o1];
// }
//
// }
// public static long pow(long a, long b) {
//
// if (b < 0)
// return 0;
// if (b == 0 || b == 1)
// return (long) Math.pow(a, b);
//
// if (b % 2 == 0) {
//
// long ret = pow(a, b / 2);
// ret = (ret % mod * ret % mod) % mod;
// return ret;
// }
//
// else {
// return ((pow(a, b - 1) % mod) * a % mod) % mod;
// }
// }
private static class pair implements Comparable<pair> {
int w, h;
int idx;
pair(int a, int b, int i) {
w = a;
h = b;
idx = i;
}
@Override
public int compareTo(pair o) {
if (this.w != o.w)
return this.w - o.w;
else
return this.h - o.h;
}
}
private static String reverse(String s) {
return new StringBuilder(s).reverse().toString();
}
public static class Reader {
final private int BUFFER_SIZE = 1 << 16;
private DataInputStream din;
private byte[] buffer;
private int bufferPointer, bytesRead;
public Reader() {
din = new DataInputStream(System.in);
buffer = new byte[BUFFER_SIZE];
bufferPointer = bytesRead = 0;
}
public Reader(String file_name) throws IOException {
din = new DataInputStream(new FileInputStream(file_name));
buffer = new byte[BUFFER_SIZE];
bufferPointer = bytesRead = 0;
}
public String readLine() throws IOException {
byte[] buf = new byte[1000000 + 1]; // line length
int cnt = 0, c;
while ((c = read()) != -1) {
if (c == '\n')
break;
buf[cnt++] = (byte) c;
}
return new String(buf, 0, cnt);
}
public int nextInt() throws IOException {
int ret = 0;
byte c = read();
while (c <= ' ')
c = read();
boolean neg = (c == '-');
if (neg)
c = read();
do {
ret = ret * 10 + c - '0';
} while ((c = read()) >= '0' && c <= '9');
if (neg)
return -ret;
return ret;
}
public long nextLong() throws IOException {
long ret = 0;
byte c = read();
while (c <= ' ')
c = read();
boolean neg = (c == '-');
if (neg)
c = read();
do {
ret = ret * 10 + c - '0';
} while ((c = read()) >= '0' && c <= '9');
if (neg)
return -ret;
return ret;
}
public double nextDouble() throws IOException {
double ret = 0, div = 1;
byte c = read();
while (c <= ' ')
c = read();
boolean neg = (c == '-');
if (neg)
c = read();
do {
ret = ret * 10 + c - '0';
} while ((c = read()) >= '0' && c <= '9');
if (c == '.') {
while ((c = read()) >= '0' && c <= '9') {
ret += (c - '0') / (div *= 10);
}
}
if (neg)
return -ret;
return ret;
}
private void fillBuffer() throws IOException {
bytesRead = din.read(buffer, bufferPointer = 0, BUFFER_SIZE);
if (bytesRead == -1)
buffer[0] = -1;
}
private byte read() throws IOException {
if (bufferPointer == bytesRead)
fillBuffer();
return buffer[bufferPointer++];
}
public void close() throws IOException {
if (din == null)
return;
din.close();
}
public int[] nextIntArray(int n) throws IOException {
int[] arr = new int[n];
for (int i = 0; i < n; i++) {
arr[i] = nextInt();
}
return arr;
}
public long[] nextLongArray(int n) throws IOException {
long[] arr = new long[n];
for (int i = 0; i < n; i++) {
arr[i] = nextLong();
}
return arr;
}
public int[][] nextInt2DArray(int m, int n) throws IOException {
int[][] arr = new int[m][n];
for (int i = 0; i < m; i++) {
for (int j = 0; j < n; j++)
arr[i][j] = nextInt();
}
return arr;
}
public long[][] nextInt2DArrayL(int m, int n) throws IOException {
long[][] arr = new long[m][n];
for (int i = 0; i < m; i++) {
for (int j = 0; j < n; j++)
arr[i][j] = nextInt();
}
return arr;
}
// kickstart - Solution
// atcoder - Main
}
} | 4JAVA
| {
"input": [
"6\n5\n1 4 3 2 1\n6\n2 4 1 3 2 1\n4\n2 1 1 3\n4\n1 3 3 1\n12\n2 1 3 4 5 6 7 8 9 1 10 2\n3\n1 1 1\n",
"6\n5\n1 4 3 1 1\n6\n2 4 1 3 2 1\n4\n2 1 1 3\n4\n1 3 3 1\n12\n2 1 3 4 5 6 7 8 9 1 10 2\n3\n1 1 1\n",
"6\n5\n1 4 3 2 1\n6\n2 4 1 3 3 1\n4\n2 1 1 3\n4\n1 3 3 1\n12\n2 1 3 4 5 6 7 8 9 1 10 2\n3\n1 1 1\n",
"6\n5\n1 4 3 1 1\n6\n2 4 1 4 2 1\n4\n2 1 1 3\n4\n1 3 3 1\n12\n2 1 3 4 5 6 7 8 9 1 10 2\n3\n1 1 1\n",
"6\n5\n1 4 3 2 1\n6\n2 4 1 3 3 1\n4\n2 1 1 3\n4\n1 3 3 1\n12\n2 1 3 4 3 6 7 8 9 1 10 2\n3\n1 1 1\n",
"6\n5\n1 4 3 2 1\n6\n2 4 1 3 3 1\n4\n2 1 1 3\n4\n1 3 3 1\n12\n2 1 3 4 3 6 7 8 9 1 10 3\n3\n1 1 2\n",
"6\n5\n1 2 3 2 1\n6\n2 3 1 3 3 1\n4\n2 2 1 3\n4\n1 3 3 1\n12\n2 1 5 4 3 6 7 8 9 1 10 3\n3\n1 1 2\n",
"6\n5\n1 4 3 2 1\n6\n2 4 1 3 3 1\n4\n2 1 1 3\n4\n1 3 3 1\n12\n2 1 3 4 5 6 7 8 10 1 10 2\n3\n1 2 1\n",
"6\n5\n2 4 3 2 1\n6\n2 4 1 3 3 1\n4\n2 1 1 1\n4\n1 3 3 1\n12\n2 1 3 4 3 6 7 8 9 1 10 2\n3\n1 1 1\n",
"6\n5\n1 4 3 1 1\n6\n2 4 1 3 3 1\n4\n2 1 1 3\n4\n1 3 3 1\n12\n2 1 3 4 5 6 7 8 10 1 10 2\n3\n1 2 1\n",
"6\n5\n2 4 3 2 1\n6\n2 4 1 3 3 1\n4\n2 2 1 3\n4\n1 3 3 1\n12\n2 1 3 4 3 6 7 8 9 1 10 3\n3\n1 1 2\n",
"6\n5\n1 4 3 2 1\n6\n2 3 1 3 3 1\n4\n2 2 1 3\n4\n2 3 1 1\n12\n2 1 10 4 3 6 7 8 9 1 10 3\n3\n1 1 2\n",
"6\n5\n1 4 3 2 1\n6\n2 3 1 3 3 1\n4\n2 2 1 3\n4\n2 3 1 1\n12\n2 1 10 4 3 6 7 8 9 1 10 3\n3\n1 1 1\n",
"6\n5\n1 4 3 2 1\n6\n2 4 1 3 2 1\n4\n2 1 1 3\n4\n1 3 3 1\n12\n2 1 3 4 5 5 7 8 9 1 10 2\n3\n1 1 1\n",
"6\n5\n1 4 3 2 1\n6\n2 4 1 3 3 1\n4\n2 1 1 2\n4\n1 3 3 1\n12\n2 1 3 4 5 6 7 8 9 1 10 2\n3\n1 1 1\n",
"6\n5\n1 2 3 2 1\n6\n2 4 1 3 3 1\n4\n2 1 1 1\n4\n1 3 3 1\n12\n2 1 3 4 3 6 7 3 9 1 10 2\n3\n1 1 1\n",
"6\n5\n1 4 3 2 1\n6\n2 4 1 3 3 1\n4\n2 1 1 2\n4\n1 3 3 1\n12\n2 1 3 5 5 6 7 8 9 1 10 2\n3\n1 2 1\n",
"6\n5\n1 4 3 2 1\n6\n2 4 1 3 3 1\n4\n2 1 1 3\n4\n1 3 3 1\n12\n2 1 3 4 3 6 7 8 9 1 10 3\n3\n1 1 1\n",
"6\n5\n1 4 3 2 1\n6\n2 4 1 3 3 1\n4\n2 2 1 3\n4\n1 3 3 1\n12\n2 1 3 4 3 6 7 8 9 1 10 3\n3\n1 1 2\n",
"6\n5\n1 4 3 2 1\n6\n2 3 1 3 3 1\n4\n2 2 1 3\n4\n1 3 3 1\n12\n2 1 3 4 3 6 7 8 9 1 10 3\n3\n1 1 2\n",
"6\n5\n1 4 3 2 1\n6\n2 3 1 3 3 1\n4\n2 2 1 3\n4\n1 3 3 1\n12\n2 1 5 4 3 6 7 8 9 1 10 3\n3\n1 1 2\n",
"6\n5\n1 4 3 2 1\n6\n2 4 1 3 3 1\n4\n2 1 1 3\n4\n1 3 3 1\n12\n2 1 3 4 5 6 7 8 10 1 10 2\n3\n1 1 1\n",
"6\n5\n1 4 3 2 1\n6\n2 4 1 3 3 1\n4\n2 1 1 1\n4\n1 3 3 1\n12\n2 1 3 4 3 6 7 8 9 1 10 2\n3\n1 1 1\n",
"6\n5\n1 4 3 2 1\n6\n2 4 1 1 3 1\n4\n2 1 1 3\n4\n1 3 3 1\n12\n2 1 3 4 3 6 7 8 9 1 10 3\n3\n1 1 1\n",
"6\n5\n1 4 3 2 1\n6\n2 4 1 3 3 1\n4\n2 1 1 3\n4\n1 3 3 1\n12\n2 1 3 4 3 6 11 8 9 1 10 3\n3\n1 1 2\n",
"6\n5\n1 4 3 2 1\n6\n2 3 1 3 3 1\n4\n2 2 1 3\n4\n1 3 3 1\n12\n2 1 10 4 3 6 7 8 9 1 10 3\n3\n1 1 2\n",
"6\n5\n1 4 3 2 1\n6\n2 4 1 3 3 1\n4\n2 1 1 3\n4\n1 3 3 1\n12\n2 1 3 4 3 6 11 8 6 1 10 3\n3\n1 1 2\n",
"6\n5\n1 4 3 2 1\n6\n2 3 1 3 3 1\n4\n2 2 1 3\n4\n2 3 3 1\n12\n2 1 10 4 3 6 7 8 9 1 10 3\n3\n1 1 2\n",
"6\n5\n1 4 3 2 1\n6\n2 4 1 3 3 1\n4\n2 1 1 3\n4\n1 3 3 1\n12\n2 1 3 5 5 6 7 8 9 1 10 2\n3\n1 1 1\n",
"6\n5\n1 4 3 2 1\n6\n2 4 1 3 3 1\n4\n2 1 1 3\n4\n1 3 3 1\n12\n2 1 6 4 3 6 7 8 9 1 10 3\n3\n1 1 2\n",
"6\n5\n1 4 3 2 1\n6\n2 3 1 3 3 1\n4\n2 2 1 3\n4\n1 3 3 1\n12\n2 1 3 4 3 6 7 8 9 1 10 6\n3\n1 1 2\n",
"6\n5\n1 4 3 2 1\n6\n2 2 1 1 3 1\n4\n2 1 1 3\n4\n1 3 3 1\n12\n2 1 3 4 3 6 7 8 9 1 10 3\n3\n1 1 1\n",
"6\n5\n1 4 3 2 1\n6\n2 4 1 3 3 1\n4\n2 1 1 3\n4\n1 3 3 1\n12\n2 1 3 4 3 6 11 8 9 2 10 3\n3\n1 1 2\n",
"6\n5\n1 4 3 2 1\n6\n2 3 1 3 3 1\n4\n2 2 1 3\n4\n1 3 1 1\n12\n2 1 10 4 3 6 7 8 9 1 10 3\n3\n1 1 2\n",
"6\n5\n1 4 3 2 1\n6\n2 4 1 3 3 1\n4\n2 1 1 3\n4\n1 3 3 1\n12\n2 1 3 4 5 6 7 8 10 1 10 2\n3\n2 2 1\n",
"6\n5\n1 4 3 2 1\n6\n2 4 1 3 3 1\n4\n2 1 1 3\n4\n1 3 3 1\n12\n2 1 3 1 3 6 11 8 6 1 10 3\n3\n1 1 2\n",
"6\n5\n1 4 3 2 1\n6\n2 3 1 3 3 1\n4\n2 3 1 3\n4\n2 3 3 1\n12\n2 1 10 4 3 6 7 8 9 1 10 3\n3\n1 1 2\n",
"6\n5\n1 4 3 2 1\n6\n2 4 1 3 3 1\n4\n2 1 1 3\n4\n1 3 3 1\n12\n2 1 6 4 4 6 7 8 9 1 10 3\n3\n1 1 2\n",
"6\n5\n1 4 3 2 1\n6\n2 3 1 3 3 1\n4\n2 2 1 3\n4\n2 3 3 1\n12\n2 1 3 4 3 6 7 8 9 1 10 6\n3\n1 1 2\n",
"6\n5\n1 4 3 2 1\n6\n2 2 1 1 3 1\n4\n2 1 1 3\n4\n1 3 3 1\n12\n2 1 2 4 3 6 7 8 9 1 10 3\n3\n1 1 1\n",
"6\n5\n1 4 3 2 1\n6\n2 4 1 3 3 1\n4\n2 1 1 3\n4\n1 3 3 1\n12\n2 1 3 4 3 6 11 8 9 2 10 3\n3\n1 2 2\n",
"6\n5\n1 4 3 2 1\n6\n2 4 1 3 3 1\n4\n2 1 1 3\n4\n1 3 3 2\n12\n2 1 3 4 5 6 7 8 10 1 10 2\n3\n2 2 1\n",
"6\n5\n1 4 3 2 1\n6\n2 4 1 3 3 1\n4\n1 1 1 3\n4\n1 3 3 1\n12\n2 1 3 1 3 6 11 8 6 1 10 3\n3\n1 1 2\n",
"6\n5\n1 4 3 2 1\n6\n2 1 1 3 3 1\n4\n2 1 1 3\n4\n1 3 3 1\n12\n2 1 3 4 3 6 11 8 9 2 10 3\n3\n1 2 2\n",
"6\n5\n1 4 3 2 1\n6\n2 4 1 3 3 1\n4\n2 1 1 3\n4\n1 3 3 2\n12\n2 1 3 4 5 6 11 8 10 1 10 2\n3\n2 2 1\n",
"6\n5\n1 4 3 2 1\n6\n2 4 1 3 3 1\n4\n2 2 1 3\n4\n1 3 3 2\n12\n2 1 3 4 5 6 11 8 10 1 10 2\n3\n2 2 1\n",
"6\n5\n1 4 3 2 1\n6\n2 4 1 3 3 1\n4\n2 2 1 3\n4\n1 3 2 2\n12\n2 1 3 4 5 6 11 8 10 1 10 2\n3\n2 2 1\n",
"6\n5\n1 4 3 2 1\n6\n2 4 1 3 3 1\n4\n2 1 1 3\n4\n1 3 3 1\n12\n2 1 3 4 3 6 7 8 6 1 10 2\n3\n1 1 1\n",
"6\n5\n1 4 3 2 1\n6\n2 4 2 3 3 1\n4\n2 1 1 3\n4\n1 3 3 1\n12\n2 1 3 4 3 6 7 8 9 1 10 3\n3\n1 1 2\n",
"6\n5\n1 4 3 2 1\n6\n2 3 1 3 3 1\n4\n2 2 1 2\n4\n1 3 3 1\n12\n2 1 5 4 3 6 7 8 9 1 10 3\n3\n1 1 2\n",
"6\n5\n1 4 3 2 1\n6\n2 4 1 3 3 1\n4\n2 1 1 1\n4\n1 3 3 1\n12\n2 1 3 4 3 6 7 3 9 1 10 2\n3\n1 1 1\n",
"6\n5\n1 4 3 2 1\n6\n2 4 1 1 3 1\n4\n2 1 1 1\n4\n1 3 3 1\n12\n2 1 3 4 3 6 7 8 9 1 10 3\n3\n1 1 1\n",
"6\n5\n1 4 3 2 1\n6\n1 4 1 3 3 1\n4\n2 1 1 3\n4\n1 3 3 1\n12\n2 1 3 4 3 6 11 8 9 1 10 3\n3\n1 1 2\n",
"6\n5\n1 4 3 2 1\n6\n2 3 1 3 3 1\n4\n2 2 1 3\n4\n1 3 3 1\n12\n2 1 10 4 3 6 9 8 9 1 10 3\n3\n1 1 2\n",
"6\n5\n2 4 3 2 1\n6\n2 4 1 3 3 1\n4\n2 1 1 1\n4\n1 3 3 1\n12\n2 1 4 4 3 6 7 8 9 1 10 2\n3\n1 1 1\n",
"6\n5\n1 4 3 2 1\n6\n2 4 1 3 3 1\n4\n2 1 1 3\n4\n1 3 3 2\n12\n2 1 3 4 3 6 11 8 6 1 10 3\n3\n1 1 2\n",
"6\n5\n1 4 3 2 1\n6\n2 4 1 3 3 1\n4\n2 1 1 3\n4\n1 3 3 1\n12\n2 1 3 5 5 6 7 8 9 1 10 2\n3\n1 2 1\n",
"6\n5\n1 4 3 2 1\n6\n2 4 1 3 3 1\n4\n2 2 1 3\n4\n1 3 3 1\n12\n2 1 6 4 3 6 7 8 9 1 10 3\n3\n1 1 2\n",
"6\n5\n1 4 3 2 1\n6\n2 3 1 3 3 1\n4\n2 2 1 3\n4\n1 3 3 1\n12\n2 2 3 4 3 6 7 8 9 1 10 6\n3\n1 1 2\n",
"6\n5\n1 4 3 2 1\n6\n2 2 1 1 3 1\n4\n2 1 1 3\n4\n1 3 3 1\n12\n2 1 3 4 3 6 7 8 9 1 10 2\n3\n1 1 1\n",
"6\n5\n1 4 3 2 1\n6\n2 4 1 3 3 1\n4\n2 1 1 3\n4\n1 3 3 1\n12\n2 1 3 4 3 6 11 8 9 2 10 3\n3\n2 1 2\n",
"6\n5\n1 4 3 2 1\n6\n2 4 1 3 3 1\n4\n2 1 1 3\n4\n1 3 3 1\n12\n2 1 3 1 3 6 11 8 6 1 10 1\n3\n1 1 2\n",
"6\n5\n1 4 3 2 1\n6\n2 3 1 3 3 1\n4\n2 3 1 3\n4\n2 3 3 1\n12\n2 1 10 4 3 6 7 8 9 1 7 3\n3\n1 1 2\n",
"6\n5\n1 4 3 2 2\n6\n2 2 1 1 3 1\n4\n2 1 1 3\n4\n1 3 3 1\n12\n2 1 2 4 3 6 7 8 9 1 10 3\n3\n1 1 1\n",
"6\n5\n1 4 3 2 1\n6\n2 4 2 3 3 1\n4\n2 1 1 3\n4\n1 3 3 1\n12\n2 1 3 4 3 6 11 8 9 2 10 3\n3\n1 2 2\n",
"6\n5\n1 4 3 2 1\n6\n2 4 1 3 3 1\n4\n1 1 1 3\n4\n1 3 3 1\n12\n2 1 3 1 3 5 11 8 6 1 10 3\n3\n1 1 2\n",
"6\n5\n1 4 3 2 1\n6\n2 2 1 3 2 1\n4\n2 1 1 3\n4\n1 3 3 1\n12\n2 1 3 4 5 5 7 8 9 1 10 2\n3\n1 1 1\n",
"6\n5\n1 4 3 2 1\n6\n2 3 1 3 3 1\n4\n2 2 1 2\n4\n1 3 3 1\n12\n2 1 5 4 3 6 7 8 9 1 10 3\n3\n2 1 2\n",
"6\n5\n1 4 3 2 1\n6\n2 4 1 1 3 2\n4\n2 1 1 1\n4\n1 3 3 1\n12\n2 1 3 4 3 6 7 8 9 1 10 3\n3\n1 1 1\n",
"6\n5\n1 4 3 2 1\n6\n1 4 1 3 3 1\n4\n2 1 1 3\n4\n1 3 3 1\n12\n2 1 3 4 3 6 11 8 9 1 10 3\n3\n2 1 2\n",
"6\n5\n2 4 3 2 1\n6\n2 4 1 3 3 1\n4\n2 1 1 1\n4\n1 3 3 1\n12\n2 1 4 4 2 6 7 8 9 1 10 2\n3\n1 1 1\n",
"6\n5\n1 4 3 2 1\n6\n2 3 1 3 3 1\n4\n2 2 1 3\n4\n1 3 3 1\n12\n2 2 3 4 3 6 7 8 9 2 10 6\n3\n1 1 2\n"
],
"output": [
"2\n1 4\n4 1\n1\n4 2\n0\n0\n1\n2 10\n0\n",
"0\n1\n4 2\n0\n0\n1\n2 10\n0\n",
"2\n1 4\n4 1\n0\n0\n0\n1\n2 10\n0\n",
"0\n0\n0\n0\n1\n2 10\n0\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n0\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n1\n1 2\n",
"2\n2 3\n3 2\n0\n0\n0\n0\n1\n1 2\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n2\n1 2\n2 1\n",
"0\n0\n0\n0\n0\n0\n",
"0\n0\n0\n0\n0\n2\n1 2\n2 1\n",
"0\n0\n0\n0\n0\n1\n1 2\n",
"2\n1 4\n4 1\n0\n0\n1\n3 1\n0\n1\n1 2\n",
"2\n1 4\n4 1\n0\n0\n1\n3 1\n0\n0\n",
"2\n1 4\n4 1\n1\n4 2\n0\n0\n0\n0\n",
"2\n1 4\n4 1\n0\n1\n2 2\n0\n1\n2 10\n0\n",
"2\n2 3\n3 2\n0\n0\n0\n0\n0\n",
"2\n1 4\n4 1\n0\n1\n2 2\n0\n0\n2\n1 2\n2 1\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n0\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n1\n1 2\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n1\n1 2\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n1\n1 2\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n0\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n0\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n0\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n1\n1 2\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n1\n1 2\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n1\n1 2\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n1\n1 2\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n0\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n1\n1 2\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n1\n1 2\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n0\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n1\n1 2\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n1\n1 2\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n0\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n1\n1 2\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n1\n1 2\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n1\n1 2\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n1\n1 2\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n0\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n0\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n0\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n1\n1 2\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n0\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n0\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n0\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n0\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n0\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n1\n1 2\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n1\n1 2\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n0\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n0\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n1\n1 2\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n1\n1 2\n",
"0\n0\n0\n0\n0\n0\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n1\n1 2\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n2\n1 2\n2 1\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n1\n1 2\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n1\n1 2\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n0\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n0\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n1\n1 2\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n1\n1 2\n",
"0\n0\n0\n0\n0\n0\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n0\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n1\n1 2\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n0\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n0\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n0\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n0\n",
"0\n0\n0\n0\n0\n0\n",
"2\n1 4\n4 1\n0\n0\n0\n0\n1\n1 2\n"
]
} | 2CODEFORCES
|
1350_B. Orac and Models_38203 | There are n models in the shop numbered from 1 to n, with sizes s_1, s_2, …, s_n.
Orac will buy some of the models and will arrange them in the order of increasing numbers (i.e. indices, but not sizes).
Orac thinks that the obtained arrangement is beatiful, if for any two adjacent models with indices i_j and i_{j+1} (note that i_j < i_{j+1}, because Orac arranged them properly), i_{j+1} is divisible by i_j and s_{i_j} < s_{i_{j+1}}.
For example, for 6 models with sizes \{3, 6, 7, 7, 7, 7\}, he can buy models with indices 1, 2, and 6, and the obtained arrangement will be beautiful. Also, note that the arrangement with exactly one model is also considered beautiful.
Orac wants to know the maximum number of models that he can buy, and he may ask you these queries many times.
Input
The first line contains one integer t\ (1 ≤ t≤ 100): the number of queries.
Each query contains two lines. The first line contains one integer n\ (1≤ n≤ 100 000): the number of models in the shop, and the second line contains n integers s_1,...,s_n\ (1≤ s_i≤ 10^9): the sizes of models.
It is guaranteed that the total sum of n is at most 100 000.
Output
Print t lines, the i-th of them should contain the maximum number of models that Orac can buy for the i-th query.
Example
Input
4
4
5 3 4 6
7
1 4 2 3 6 4 9
5
5 4 3 2 1
1
9
Output
2
3
1
1
Note
In the first query, for example, Orac can buy models with indices 2 and 4, the arrangement will be beautiful because 4 is divisible by 2 and 6 is more than 3. By enumerating, we can easily find that there are no beautiful arrangements with more than two models.
In the second query, Orac can buy models with indices 1, 3, and 6. By enumerating, we can easily find that there are no beautiful arrangements with more than three models.
In the third query, there are no beautiful arrangements with more than one model. | T = input()
dp = {}
def solve(X):
if X in dp:
return dp[X]
if X == 1:
return 1
mox = 1
for i in xrange(1, int(X**0.5)+1):
if X % i == 0:
if i != 1 and ll[X-1] > ll[X//i - 1]:
now = solve(X//i) + 1
mox = max(now, mox)
if i*i != X and ll[X-1] > ll[i-1]:
now = solve(i) + 1
mox = max(now, mox)
dp[X] = mox
return mox
for _ in xrange(T):
dp = {}
N = input()
ll = map(int, raw_input().split(" "))
mox = 0
for i in xrange(1, N+1):
mox = max(mox, solve(i))
print mox
#print dp
#print ll
| 1Python2
| {
"input": [
"4\n4\n5 3 4 6\n7\n1 4 2 3 6 4 9\n5\n5 4 3 2 1\n1\n9\n",
"4\n23\n3198 4895 1585 3881 2650 2366 876 2731 1052 126 2152 3621 2169 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000000\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100\n",
"4\n23\n3198 4895 1585 3881 2650 2366 876 2731 1052 126 2152 3621 2169 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000000\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n4\n5 3 4 6\n7\n1 4 2 3 6 4 9\n5\n5 4 6 2 1\n1\n9\n",
"4\n4\n6 6 3 6\n7\n1 4 2 3 4 4 5\n5\n5 1 8 2 1\n1\n11\n",
"4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 6910 1096 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000010\n2\n1 1\n100\n1 2 3 4 5 6 7 10 9 10 11 12 13 14 24 16 17 18 19 20 21 22 23 24 25 26 27 28 29 41 31 32 56 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 60 51 52 53 54 49 56 57 58 59 60 61 62 63 64 129 119 67 68 69 70 71 72 27 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n4\n5 6 4 6\n7\n1 4 2 3 6 1 5\n5\n5 1 11 2 1\n1\n11\n",
"4\n23\n3198 4895 1585 3881 2650 2366 876 2731 1052 126 2152 3621 2169 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000000\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 25 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n4\n5 3 4 6\n7\n1 4 2 3 6 4 9\n5\n5 5 6 2 1\n1\n9\n",
"4\n23\n3198 4895 1585 3881 2650 2366 876 2731 1052 126 2152 3621 2169 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000000\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 25 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n4\n5 3 4 6\n7\n1 4 2 3 6 4 9\n5\n5 5 11 2 1\n1\n9\n",
"4\n23\n3198 4895 1585 3881 2650 2366 876 2731 1971 126 2152 3621 2169 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000000\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 25 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n4\n5 3 4 6\n7\n1 4 2 3 6 4 9\n5\n5 5 11 2 1\n1\n11\n",
"4\n23\n3198 4895 1585 3881 2650 2366 876 2731 1971 126 2152 3621 2169 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000000\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 25 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n4\n5 3 4 6\n7\n1 4 2 3 6 7 9\n5\n5 5 11 2 1\n1\n11\n",
"4\n23\n3198 4895 1585 3881 2650 2366 876 2731 1971 126 2152 3621 2169 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000000\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n4\n5 3 4 6\n7\n1 4 2 3 6 7 5\n5\n5 5 11 2 1\n1\n11\n",
"4\n23\n3198 4895 1585 3881 2650 2366 876 2731 1971 126 2152 3621 2169 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000000\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 41 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n4\n5 3 4 6\n7\n1 4 2 3 6 4 5\n5\n5 5 11 2 1\n1\n11\n",
"4\n23\n3198 4895 1585 3881 2650 2366 876 2731 1971 126 2152 3621 2169 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000000\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 41 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 119 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n4\n5 3 4 6\n7\n1 4 2 3 6 4 5\n5\n5 1 11 2 1\n1\n11\n",
"4\n23\n3198 4895 1585 3881 2650 2366 876 2731 1971 126 2152 3621 2169 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000000\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 24 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 41 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 119 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n4\n5 6 4 6\n7\n1 4 2 3 6 4 5\n5\n5 1 11 2 1\n1\n11\n",
"4\n23\n3198 4895 1585 3881 2650 2366 876 2731 1971 126 2152 3621 2169 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000000\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 24 16 17 18 19 20 21 22 23 24 25 26 27 28 29 41 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 41 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 119 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n4\n5 6 3 6\n7\n1 4 2 3 6 4 5\n5\n5 1 11 2 1\n1\n11\n",
"4\n23\n3198 4895 1585 3881 2650 2920 876 2731 1971 126 2152 3621 2169 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000000\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 24 16 17 18 19 20 21 22 23 24 25 26 27 28 29 41 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 41 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 119 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n4\n5 6 3 6\n7\n1 4 2 3 4 4 5\n5\n5 1 11 2 1\n1\n11\n",
"4\n23\n3198 4895 1585 3916 2650 2920 876 2731 1971 126 2152 3621 2169 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000000\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 24 16 17 18 19 20 21 22 23 24 25 26 27 28 29 41 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 41 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 119 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n4\n5 6 3 6\n7\n1 4 2 3 4 4 5\n5\n5 1 8 2 1\n1\n11\n",
"4\n23\n3198 4895 1585 3916 2650 2920 876 2731 1971 126 2152 3621 2169 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000010\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 24 16 17 18 19 20 21 22 23 24 25 26 27 28 29 41 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 41 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 119 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n23\n3198 4895 1585 3916 2650 2920 876 2731 1971 126 2152 3621 2169 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000010\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 24 16 17 18 19 20 21 22 23 24 25 26 27 28 29 41 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 41 51 52 53 54 49 56 57 58 59 60 61 62 63 64 65 119 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n4\n6 6 3 6\n7\n1 5 2 3 4 4 5\n5\n5 1 8 2 1\n1\n11\n",
"4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 3621 2169 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000010\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 24 16 17 18 19 20 21 22 23 24 25 26 27 28 29 41 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 41 51 52 53 54 49 56 57 58 59 60 61 62 63 64 65 119 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n4\n6 6 3 6\n7\n1 5 2 3 7 4 5\n5\n5 1 8 2 1\n1\n11\n",
"4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 3621 1096 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000010\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 24 16 17 18 19 20 21 22 23 24 25 26 27 28 29 41 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 41 51 52 53 54 49 56 57 58 59 60 61 62 63 64 65 119 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n4\n6 6 3 6\n7\n1 1 2 3 7 4 5\n5\n5 1 8 2 1\n1\n11\n",
"4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 3621 1096 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000010\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 24 16 17 18 19 20 21 22 23 24 25 26 27 28 29 41 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 41 51 52 53 54 49 56 57 58 59 60 61 62 63 64 129 119 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n4\n6 6 3 6\n7\n1 1 2 3 5 4 5\n5\n5 1 8 2 1\n1\n11\n",
"4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 3621 1096 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000010\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 24 16 17 18 19 20 21 22 23 24 25 26 27 28 29 41 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 41 51 52 53 54 49 56 57 58 59 60 61 62 63 64 129 119 67 68 69 70 71 72 27 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 3621 1096 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000010\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 24 16 17 18 19 20 21 22 23 24 25 26 27 28 29 41 31 32 56 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 41 51 52 53 54 49 56 57 58 59 60 61 62 63 64 129 119 67 68 69 70 71 72 27 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 3621 1096 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000010\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 24 16 17 18 19 20 21 22 23 24 25 26 27 28 29 41 31 32 56 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 60 51 52 53 54 49 56 57 58 59 60 61 62 63 64 129 119 67 68 69 70 71 72 27 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 3621 1096 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000010\n2\n1 1\n100\n1 2 3 4 5 6 7 10 9 10 11 12 13 14 24 16 17 18 19 20 21 22 23 24 25 26 27 28 29 41 31 32 56 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 60 51 52 53 54 49 56 57 58 59 60 61 62 63 64 129 119 67 68 69 70 71 72 27 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 6910 1096 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000010\n2\n1 1\n100\n1 2 3 4 5 2 7 10 9 10 11 12 13 14 24 16 17 18 19 20 21 22 23 24 25 26 27 28 29 41 31 32 56 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 60 51 52 53 54 49 56 57 58 59 60 61 62 63 64 129 119 67 68 69 70 71 72 27 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 6910 1096 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000010\n2\n1 1\n100\n1 2 3 4 5 2 7 10 9 10 11 12 13 14 24 16 17 18 19 20 21 22 23 24 25 26 27 28 29 41 31 32 56 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 60 51 52 53 54 49 56 57 58 93 60 61 62 63 64 129 119 67 68 69 70 71 72 27 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 6910 1096 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000010\n2\n1 1\n100\n1 2 3 4 5 2 7 10 9 10 11 12 13 14 24 16 17 33 19 20 21 22 23 24 25 26 27 28 29 41 31 32 56 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 60 51 52 53 54 49 56 57 58 93 60 61 62 63 64 129 119 67 68 69 70 71 72 27 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 6910 1096 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000010\n2\n1 1\n100\n1 2 3 4 5 2 7 10 9 10 11 12 13 14 24 16 17 33 19 20 21 22 23 24 25 26 27 28 29 41 31 32 56 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 60 51 52 53 54 49 56 57 58 93 60 61 62 63 64 129 119 67 68 69 70 71 72 27 74 75 76 77 78 79 80 127 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 6910 1096 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n0000000010\n2\n1 1\n100\n1 2 3 4 5 2 7 10 9 10 11 12 13 14 24 16 17 33 19 20 21 22 23 24 25 26 27 28 29 41 31 32 56 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 60 51 52 53 54 49 56 57 58 93 60 61 62 63 64 129 119 67 68 69 70 71 72 27 74 75 76 77 78 79 80 127 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 6910 1096 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n0000000010\n2\n1 1\n100\n1 2 3 4 5 2 7 10 9 14 11 12 13 14 24 16 17 33 19 20 21 22 23 24 25 26 27 28 29 41 31 32 56 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 60 51 52 53 54 49 56 57 58 93 60 61 62 63 64 129 119 67 68 69 70 71 72 27 74 75 76 77 78 79 80 127 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 6910 1096 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n0000000010\n2\n1 1\n100\n1 2 3 4 5 2 7 10 9 14 11 12 13 14 24 16 17 33 19 20 21 22 23 24 25 26 27 28 29 41 31 32 56 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 60 25 52 53 54 49 56 57 58 93 60 61 62 63 64 129 119 67 68 69 70 71 72 27 74 75 76 77 78 79 80 127 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 6910 1096 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n0000000010\n2\n1 1\n100\n1 2 3 4 5 2 7 10 9 14 11 12 13 14 24 16 17 33 19 20 21 22 23 24 25 26 27 28 29 41 31 32 56 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 60 25 52 53 54 49 56 57 58 93 60 61 62 63 64 129 119 67 68 69 70 71 72 27 74 75 76 77 78 79 80 127 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 131 98 99 100\n",
"4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 6910 1096 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n0000000010\n2\n1 1\n100\n1 2 3 4 5 2 7 10 9 14 11 12 13 14 24 16 17 33 19 20 21 22 23 24 25 26 27 28 29 41 31 32 56 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 60 25 52 53 54 49 56 57 58 93 60 61 62 63 64 129 119 91 68 69 70 71 72 27 74 75 76 77 78 79 80 127 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 131 98 99 100\n",
"4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 6910 1096 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n0000000010\n2\n1 1\n100\n1 2 3 4 5 2 7 10 9 14 11 12 13 14 24 16 17 33 19 20 21 22 23 24 25 26 27 28 29 41 31 32 56 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 60 25 52 53 54 49 56 57 58 93 60 61 62 63 64 129 119 91 68 69 70 71 72 27 74 75 95 77 78 79 80 127 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 131 98 99 100\n",
"4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 6910 1096 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n0000000010\n2\n1 1\n100\n1 2 3 4 5 2 7 10 9 14 11 12 13 14 24 16 17 33 19 20 21 22 23 24 25 26 45 28 29 41 31 32 56 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 60 25 52 53 54 49 56 57 58 93 60 61 62 63 64 129 119 91 68 69 70 71 72 27 74 75 95 77 78 79 80 127 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 131 98 99 100\n",
"4\n23\n3198 4895 1585 3881 2650 2366 876 2731 1052 126 2152 3621 2169 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000000\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 25 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100\n",
"4\n23\n3198 4895 1585 3881 2650 2366 876 2731 1052 126 2152 3621 2169 4103 1074 2594 2897 3983 3830 3460 729 576 6244\n1\n1000000000\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n4\n5 3 4 6\n7\n1 4 2 1 6 4 9\n5\n5 4 6 2 1\n1\n9\n",
"4\n23\n3198 4895 1585 3881 2650 2366 876 2731 1052 126 2152 3621 2169 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000000\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 25 50 51 52 53 54 55 56 57 58 59 85 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n4\n5 3 4 6\n7\n1 4 2 3 6 4 13\n5\n5 5 6 2 1\n1\n9\n",
"4\n23\n3198 4895 1585 3881 2650 2366 876 2731 1052 126 2152 3621 2169 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000000\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 6 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n23\n3198 4895 1585 3881 2650 2366 876 2731 1971 126 2152 3621 2169 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000000\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 81 46 47 48 25 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n4\n5 3 4 6\n7\n1 0 2 3 6 4 9\n5\n5 5 11 2 1\n1\n11\n",
"4\n23\n3198 4895 1585 3881 2650 2366 876 2731 1971 126 2152 3621 2169 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000000\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 25 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 72 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n4\n5 4 4 6\n7\n1 4 2 3 6 7 9\n5\n5 5 11 2 1\n1\n11\n",
"4\n23\n3198 4895 1585 3881 2650 2366 876 2731 1971 126 2152 3621 2169 4103 588 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000000\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n4\n5 3 4 6\n7\n1 4 0 3 6 7 5\n5\n5 5 11 2 1\n1\n11\n",
"4\n23\n3198 4895 1585 3881 2650 2366 876 2731 1971 126 2152 1370 2169 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000000\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 41 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n4\n5 3 4 6\n7\n1 4 2 3 6 4 5\n5\n5 5 11 3 1\n1\n11\n",
"4\n23\n3198 4895 1585 3881 2650 2366 876 2731 1971 126 2152 3621 2169 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000000\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 41 51 52 53 54 14 56 57 58 59 60 61 62 63 64 65 119 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n23\n3198 4895 1585 3881 2650 2366 876 2731 1971 126 2152 3621 2169 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000000\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 24 16 17 18 19 20 21 22 21 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 41 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 119 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n23\n3198 4895 1585 3881 2650 2366 876 2731 1971 126 2152 3621 2169 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000000\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 24 16 17 18 19 20 21 22 23 24 25 26 27 28 29 41 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 41 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 119 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 159 97 98 99 100\n",
"4\n4\n5 6 5 6\n7\n1 4 2 3 6 4 5\n5\n5 1 11 2 1\n1\n11\n",
"4\n23\n3198 4895 1585 3881 2650 2920 876 2731 1971 126 2152 3621 2169 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000000\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 24 16 17 18 19 20 21 22 23 24 25 26 27 28 29 41 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 41 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 119 67 68 69 70 71 72 17 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n4\n5 6 3 6\n7\n1 4 2 3 4 4 5\n5\n4 1 11 2 1\n1\n11\n",
"4\n23\n3198 4895 1585 3916 2650 2920 876 2731 1971 126 2152 3621 2169 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000000\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 24 16 17 18 19 20 21 22 23 24 25 26 27 28 29 41 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 41 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 119 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 22 93 94 160 96 97 98 99 100\n",
"4\n4\n5 6 3 6\n7\n1 4 2 3 4 4 10\n5\n5 1 8 2 1\n1\n11\n",
"4\n23\n3198 4895 1585 3916 2650 2920 876 2731 1971 126 2152 3621 2169 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000010\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 24 16 17 18 19 20 21 22 23 24 25 26 27 28 29 41 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 41 51 52 53 54 55 56 57 58 59 60 61 62 63 102 65 119 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n23\n3198 4895 1585 3916 2650 2920 876 2731 1971 126 2152 3621 2169 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000010\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 24 16 17 18 19 20 21 22 23 24 25 26 27 28 29 41 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 41 51 52 53 54 49 56 57 58 59 60 61 62 63 64 65 119 67 68 69 70 71 72 73 74 75 76 95 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n4\n6 6 3 1\n7\n1 5 2 3 4 4 5\n5\n5 1 8 2 1\n1\n11\n",
"4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 3621 2169 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000010\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 24 16 17 18 19 20 21 22 23 24 25 26 27 28 29 41 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 41 51 52 53 54 49 56 57 58 59 60 61 62 63 64 65 119 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 17 92 93 94 160 96 97 98 99 100\n",
"4\n4\n6 6 3 11\n7\n1 5 2 3 7 4 5\n5\n5 1 8 2 1\n1\n11\n",
"4\n23\n3198 4895 282 3916 2650 5552 876 2731 1971 126 2152 3621 1096 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000010\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 24 16 17 18 19 20 21 22 23 24 25 26 27 28 29 41 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 41 51 52 53 54 49 56 57 58 59 60 61 62 63 64 65 119 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 3621 1096 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000010\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 24 16 17 18 19 20 21 22 23 24 25 26 27 28 29 41 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 41 51 52 53 54 49 56 57 58 59 60 61 62 63 64 129 42 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n4\n6 6 0 6\n7\n1 1 2 3 5 4 5\n5\n5 1 8 2 1\n1\n11\n",
"4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 3621 1096 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000010\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 24 16 17 18 19 20 21 22 23 24 25 26 27 28 29 41 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 41 51 52 53 54 49 56 57 58 59 60 61 62 63 64 129 119 67 68 69 70 71 72 27 74 75 76 77 78 79 80 81 82 83 84 85 115 87 37 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 3621 1096 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000010\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 24 16 17 18 19 20 21 22 23 24 25 26 27 28 29 41 31 32 56 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 41 51 52 53 54 49 56 57 58 59 60 61 62 88 64 129 119 67 68 69 70 71 72 27 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 3621 1096 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000010\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 24 16 17 18 19 20 21 22 23 24 25 26 27 28 29 41 31 32 56 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 60 51 52 53 54 49 56 57 58 59 60 61 62 63 64 129 119 67 68 69 70 71 72 27 74 75 76 77 78 79 80 81 82 83 84 85 161 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 3621 1096 4103 1074 3398 2897 3983 3830 3460 729 576 3281\n1\n1000000010\n2\n1 1\n100\n1 2 3 4 5 6 7 10 9 10 11 12 13 14 24 16 17 18 19 20 21 22 23 24 25 26 27 28 29 41 31 32 56 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 60 51 52 53 54 49 56 57 58 59 60 61 62 63 64 129 119 67 68 69 70 71 72 27 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 6910 1096 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000010\n2\n1 1\n100\n1 2 3 4 5 6 7 10 9 10 11 4 13 14 24 16 17 18 19 20 21 22 23 24 25 26 27 28 29 41 31 32 56 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 60 51 52 53 54 49 56 57 58 59 60 61 62 63 64 129 119 67 68 69 70 71 72 27 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 6910 1096 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000010\n2\n1 1\n100\n1 2 3 4 5 2 7 10 9 10 11 12 13 14 24 16 17 18 19 20 21 22 23 24 25 26 27 28 29 41 31 32 56 34 34 36 37 38 39 40 41 42 43 44 45 46 54 48 25 60 51 52 53 54 49 56 57 58 59 60 61 62 63 64 129 119 67 68 69 70 71 72 27 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 6910 1096 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000010\n2\n1 1\n100\n1 2 3 4 5 2 7 10 9 10 11 12 13 14 24 16 17 18 19 20 21 22 23 24 25 26 27 28 29 41 31 32 56 2 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 60 51 52 53 54 49 56 57 58 93 60 61 62 63 64 129 119 67 68 69 70 71 72 27 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 6910 1096 4103 1074 2594 1503 3983 3830 3460 729 576 3281\n1\n1000000010\n2\n1 1\n100\n1 2 3 4 5 2 7 10 9 10 11 12 13 14 24 16 17 33 19 20 21 22 23 24 25 26 27 28 29 41 31 32 56 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 60 51 52 53 54 49 56 57 58 93 60 61 62 63 64 129 119 67 68 69 70 71 72 27 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 6910 1096 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000010\n2\n1 1\n100\n1 2 3 4 5 2 7 10 9 10 11 12 13 14 24 16 17 33 19 20 21 22 23 24 25 26 27 28 29 41 31 32 56 34 32 36 37 38 39 40 41 42 43 44 45 46 54 48 25 60 51 52 53 54 49 56 57 58 93 60 61 62 63 64 129 119 67 68 69 70 71 72 27 74 75 76 77 78 79 80 127 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 6910 1096 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n0000000010\n2\n1 1\n100\n1 2 3 4 5 2 7 10 9 10 11 12 13 14 24 16 17 33 19 20 21 22 23 24 25 26 27 28 29 41 42 32 56 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 60 51 52 53 54 49 56 57 58 93 60 61 62 63 64 129 119 67 68 69 70 71 72 27 74 75 76 77 78 79 80 127 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 6910 1096 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n0000000010\n2\n1 1\n100\n1 2 3 4 5 2 7 10 9 14 11 12 13 14 24 16 17 33 19 20 21 22 23 24 25 26 27 0 29 41 31 32 56 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 60 51 52 53 54 49 56 57 58 93 60 61 62 63 64 129 119 67 68 69 70 71 72 27 74 75 76 77 78 79 80 127 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n"
],
"output": [
"2\n3\n1\n1\n",
"3\n1\n1\n7\n",
"3\n1\n1\n7\n",
"2\n3\n2\n1\n",
"1\n3\n2\n1\n",
"4\n1\n1\n7\n",
"2\n2\n2\n1\n",
"3\n1\n1\n7\n",
"2\n3\n2\n1\n",
"3\n1\n1\n7\n",
"2\n3\n2\n1\n",
"3\n1\n1\n7\n",
"2\n3\n2\n1\n",
"3\n1\n1\n7\n",
"2\n3\n2\n1\n",
"3\n1\n1\n7\n",
"2\n3\n2\n1\n",
"3\n1\n1\n7\n",
"2\n3\n2\n1\n",
"3\n1\n1\n7\n",
"2\n3\n2\n1\n",
"3\n1\n1\n7\n",
"2\n3\n2\n1\n",
"3\n1\n1\n7\n",
"2\n3\n2\n1\n",
"3\n1\n1\n7\n",
"2\n3\n2\n1\n",
"3\n1\n1\n7\n",
"2\n3\n2\n1\n",
"3\n1\n1\n7\n",
"3\n1\n1\n7\n",
"1\n3\n2\n1\n",
"3\n1\n1\n7\n",
"1\n3\n2\n1\n",
"3\n1\n1\n7\n",
"1\n3\n2\n1\n",
"3\n1\n1\n7\n",
"1\n3\n2\n1\n",
"3\n1\n1\n7\n",
"3\n1\n1\n7\n",
"3\n1\n1\n7\n",
"3\n1\n1\n7\n",
"4\n1\n1\n7\n",
"4\n1\n1\n7\n",
"4\n1\n1\n7\n",
"4\n1\n1\n7\n",
"4\n1\n1\n7\n",
"4\n1\n1\n7\n",
"4\n1\n1\n7\n",
"4\n1\n1\n7\n",
"4\n1\n1\n7\n",
"4\n1\n1\n7\n",
"4\n1\n1\n7\n",
"3\n1\n1\n7\n",
"3\n1\n1\n7\n",
"2\n3\n2\n1\n",
"3\n1\n1\n7\n",
"2\n3\n2\n1\n",
"3\n1\n1\n7\n",
"3\n1\n1\n7\n",
"2\n3\n2\n1\n",
"3\n1\n1\n7\n",
"2\n3\n2\n1\n",
"3\n1\n1\n7\n",
"2\n3\n2\n1\n",
"3\n1\n1\n7\n",
"2\n3\n2\n1\n",
"3\n1\n1\n7\n",
"3\n1\n1\n7\n",
"3\n1\n1\n7\n",
"2\n3\n2\n1\n",
"3\n1\n1\n7\n",
"2\n3\n2\n1\n",
"3\n1\n1\n7\n",
"2\n3\n2\n1\n",
"3\n1\n1\n7\n",
"3\n1\n1\n7\n",
"1\n3\n2\n1\n",
"3\n1\n1\n7\n",
"2\n3\n2\n1\n",
"3\n1\n1\n7\n",
"3\n1\n1\n7\n",
"1\n3\n2\n1\n",
"3\n1\n1\n7\n",
"3\n1\n1\n7\n",
"3\n1\n1\n7\n",
"3\n1\n1\n7\n",
"4\n1\n1\n7\n",
"4\n1\n1\n7\n",
"4\n1\n1\n7\n",
"4\n1\n1\n7\n",
"4\n1\n1\n7\n",
"4\n1\n1\n7\n",
"4\n1\n1\n7\n"
]
} | 2CODEFORCES
|
1350_B. Orac and Models_38204 | There are n models in the shop numbered from 1 to n, with sizes s_1, s_2, …, s_n.
Orac will buy some of the models and will arrange them in the order of increasing numbers (i.e. indices, but not sizes).
Orac thinks that the obtained arrangement is beatiful, if for any two adjacent models with indices i_j and i_{j+1} (note that i_j < i_{j+1}, because Orac arranged them properly), i_{j+1} is divisible by i_j and s_{i_j} < s_{i_{j+1}}.
For example, for 6 models with sizes \{3, 6, 7, 7, 7, 7\}, he can buy models with indices 1, 2, and 6, and the obtained arrangement will be beautiful. Also, note that the arrangement with exactly one model is also considered beautiful.
Orac wants to know the maximum number of models that he can buy, and he may ask you these queries many times.
Input
The first line contains one integer t\ (1 ≤ t≤ 100): the number of queries.
Each query contains two lines. The first line contains one integer n\ (1≤ n≤ 100 000): the number of models in the shop, and the second line contains n integers s_1,...,s_n\ (1≤ s_i≤ 10^9): the sizes of models.
It is guaranteed that the total sum of n is at most 100 000.
Output
Print t lines, the i-th of them should contain the maximum number of models that Orac can buy for the i-th query.
Example
Input
4
4
5 3 4 6
7
1 4 2 3 6 4 9
5
5 4 3 2 1
1
9
Output
2
3
1
1
Note
In the first query, for example, Orac can buy models with indices 2 and 4, the arrangement will be beautiful because 4 is divisible by 2 and 6 is more than 3. By enumerating, we can easily find that there are no beautiful arrangements with more than two models.
In the second query, Orac can buy models with indices 1, 3, and 6. By enumerating, we can easily find that there are no beautiful arrangements with more than three models.
In the third query, there are no beautiful arrangements with more than one model. | #include <bits/stdc++.h>
using namespace std;
long long int arr[100005], dp[100005];
int main() {
int t, n, k;
cin >> t;
while (t--) {
cin >> n;
for (int i = 1; i <= n; i++) cin >> arr[i];
long long int res = 0;
memset(dp, 0, sizeof(dp));
for (int i = 1; i <= n; i++) {
dp[i] = 1;
long long int ans = 1;
for (int j = 1; j * j <= i; j++) {
if (i % j == 0 && arr[j] < arr[i]) {
ans = max(ans, dp[j] + 1);
}
int d = i / j;
if (d != j) {
if (i % d == 0 && arr[d] < arr[i]) ans = max(ans, dp[d] + 1);
}
}
dp[i] = max(ans, dp[i]);
res = max(dp[i], res);
}
cout << res << endl;
}
}
| 2C++
| {
"input": [
"4\n4\n5 3 4 6\n7\n1 4 2 3 6 4 9\n5\n5 4 3 2 1\n1\n9\n",
"4\n23\n3198 4895 1585 3881 2650 2366 876 2731 1052 126 2152 3621 2169 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000000\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100\n",
"4\n23\n3198 4895 1585 3881 2650 2366 876 2731 1052 126 2152 3621 2169 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000000\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n4\n5 3 4 6\n7\n1 4 2 3 6 4 9\n5\n5 4 6 2 1\n1\n9\n",
"4\n4\n6 6 3 6\n7\n1 4 2 3 4 4 5\n5\n5 1 8 2 1\n1\n11\n",
"4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 6910 1096 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000010\n2\n1 1\n100\n1 2 3 4 5 6 7 10 9 10 11 12 13 14 24 16 17 18 19 20 21 22 23 24 25 26 27 28 29 41 31 32 56 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 60 51 52 53 54 49 56 57 58 59 60 61 62 63 64 129 119 67 68 69 70 71 72 27 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n4\n5 6 4 6\n7\n1 4 2 3 6 1 5\n5\n5 1 11 2 1\n1\n11\n",
"4\n23\n3198 4895 1585 3881 2650 2366 876 2731 1052 126 2152 3621 2169 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000000\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 25 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n4\n5 3 4 6\n7\n1 4 2 3 6 4 9\n5\n5 5 6 2 1\n1\n9\n",
"4\n23\n3198 4895 1585 3881 2650 2366 876 2731 1052 126 2152 3621 2169 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000000\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 25 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n4\n5 3 4 6\n7\n1 4 2 3 6 4 9\n5\n5 5 11 2 1\n1\n9\n",
"4\n23\n3198 4895 1585 3881 2650 2366 876 2731 1971 126 2152 3621 2169 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000000\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 25 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n4\n5 3 4 6\n7\n1 4 2 3 6 4 9\n5\n5 5 11 2 1\n1\n11\n",
"4\n23\n3198 4895 1585 3881 2650 2366 876 2731 1971 126 2152 3621 2169 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000000\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 25 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n4\n5 3 4 6\n7\n1 4 2 3 6 7 9\n5\n5 5 11 2 1\n1\n11\n",
"4\n23\n3198 4895 1585 3881 2650 2366 876 2731 1971 126 2152 3621 2169 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000000\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n4\n5 3 4 6\n7\n1 4 2 3 6 7 5\n5\n5 5 11 2 1\n1\n11\n",
"4\n23\n3198 4895 1585 3881 2650 2366 876 2731 1971 126 2152 3621 2169 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000000\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 41 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n4\n5 3 4 6\n7\n1 4 2 3 6 4 5\n5\n5 5 11 2 1\n1\n11\n",
"4\n23\n3198 4895 1585 3881 2650 2366 876 2731 1971 126 2152 3621 2169 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000000\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 41 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 119 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n4\n5 3 4 6\n7\n1 4 2 3 6 4 5\n5\n5 1 11 2 1\n1\n11\n",
"4\n23\n3198 4895 1585 3881 2650 2366 876 2731 1971 126 2152 3621 2169 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000000\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 24 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 41 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 119 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n4\n5 6 4 6\n7\n1 4 2 3 6 4 5\n5\n5 1 11 2 1\n1\n11\n",
"4\n23\n3198 4895 1585 3881 2650 2366 876 2731 1971 126 2152 3621 2169 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000000\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 24 16 17 18 19 20 21 22 23 24 25 26 27 28 29 41 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 41 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 119 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n4\n5 6 3 6\n7\n1 4 2 3 6 4 5\n5\n5 1 11 2 1\n1\n11\n",
"4\n23\n3198 4895 1585 3881 2650 2920 876 2731 1971 126 2152 3621 2169 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000000\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 24 16 17 18 19 20 21 22 23 24 25 26 27 28 29 41 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 41 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 119 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n4\n5 6 3 6\n7\n1 4 2 3 4 4 5\n5\n5 1 11 2 1\n1\n11\n",
"4\n23\n3198 4895 1585 3916 2650 2920 876 2731 1971 126 2152 3621 2169 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000000\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 24 16 17 18 19 20 21 22 23 24 25 26 27 28 29 41 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 41 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 119 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n4\n5 6 3 6\n7\n1 4 2 3 4 4 5\n5\n5 1 8 2 1\n1\n11\n",
"4\n23\n3198 4895 1585 3916 2650 2920 876 2731 1971 126 2152 3621 2169 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000010\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 24 16 17 18 19 20 21 22 23 24 25 26 27 28 29 41 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 41 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 119 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n23\n3198 4895 1585 3916 2650 2920 876 2731 1971 126 2152 3621 2169 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000010\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 24 16 17 18 19 20 21 22 23 24 25 26 27 28 29 41 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 41 51 52 53 54 49 56 57 58 59 60 61 62 63 64 65 119 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n4\n6 6 3 6\n7\n1 5 2 3 4 4 5\n5\n5 1 8 2 1\n1\n11\n",
"4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 3621 2169 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000010\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 24 16 17 18 19 20 21 22 23 24 25 26 27 28 29 41 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 41 51 52 53 54 49 56 57 58 59 60 61 62 63 64 65 119 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n4\n6 6 3 6\n7\n1 5 2 3 7 4 5\n5\n5 1 8 2 1\n1\n11\n",
"4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 3621 1096 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000010\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 24 16 17 18 19 20 21 22 23 24 25 26 27 28 29 41 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 41 51 52 53 54 49 56 57 58 59 60 61 62 63 64 65 119 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n4\n6 6 3 6\n7\n1 1 2 3 7 4 5\n5\n5 1 8 2 1\n1\n11\n",
"4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 3621 1096 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000010\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 24 16 17 18 19 20 21 22 23 24 25 26 27 28 29 41 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 41 51 52 53 54 49 56 57 58 59 60 61 62 63 64 129 119 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n4\n6 6 3 6\n7\n1 1 2 3 5 4 5\n5\n5 1 8 2 1\n1\n11\n",
"4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 3621 1096 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000010\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 24 16 17 18 19 20 21 22 23 24 25 26 27 28 29 41 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 41 51 52 53 54 49 56 57 58 59 60 61 62 63 64 129 119 67 68 69 70 71 72 27 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 3621 1096 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000010\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 24 16 17 18 19 20 21 22 23 24 25 26 27 28 29 41 31 32 56 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 41 51 52 53 54 49 56 57 58 59 60 61 62 63 64 129 119 67 68 69 70 71 72 27 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 3621 1096 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000010\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 24 16 17 18 19 20 21 22 23 24 25 26 27 28 29 41 31 32 56 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 60 51 52 53 54 49 56 57 58 59 60 61 62 63 64 129 119 67 68 69 70 71 72 27 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 3621 1096 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000010\n2\n1 1\n100\n1 2 3 4 5 6 7 10 9 10 11 12 13 14 24 16 17 18 19 20 21 22 23 24 25 26 27 28 29 41 31 32 56 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 60 51 52 53 54 49 56 57 58 59 60 61 62 63 64 129 119 67 68 69 70 71 72 27 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 6910 1096 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000010\n2\n1 1\n100\n1 2 3 4 5 2 7 10 9 10 11 12 13 14 24 16 17 18 19 20 21 22 23 24 25 26 27 28 29 41 31 32 56 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 60 51 52 53 54 49 56 57 58 59 60 61 62 63 64 129 119 67 68 69 70 71 72 27 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 6910 1096 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000010\n2\n1 1\n100\n1 2 3 4 5 2 7 10 9 10 11 12 13 14 24 16 17 18 19 20 21 22 23 24 25 26 27 28 29 41 31 32 56 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 60 51 52 53 54 49 56 57 58 93 60 61 62 63 64 129 119 67 68 69 70 71 72 27 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 6910 1096 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000010\n2\n1 1\n100\n1 2 3 4 5 2 7 10 9 10 11 12 13 14 24 16 17 33 19 20 21 22 23 24 25 26 27 28 29 41 31 32 56 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 60 51 52 53 54 49 56 57 58 93 60 61 62 63 64 129 119 67 68 69 70 71 72 27 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 6910 1096 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000010\n2\n1 1\n100\n1 2 3 4 5 2 7 10 9 10 11 12 13 14 24 16 17 33 19 20 21 22 23 24 25 26 27 28 29 41 31 32 56 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 60 51 52 53 54 49 56 57 58 93 60 61 62 63 64 129 119 67 68 69 70 71 72 27 74 75 76 77 78 79 80 127 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 6910 1096 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n0000000010\n2\n1 1\n100\n1 2 3 4 5 2 7 10 9 10 11 12 13 14 24 16 17 33 19 20 21 22 23 24 25 26 27 28 29 41 31 32 56 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 60 51 52 53 54 49 56 57 58 93 60 61 62 63 64 129 119 67 68 69 70 71 72 27 74 75 76 77 78 79 80 127 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 6910 1096 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n0000000010\n2\n1 1\n100\n1 2 3 4 5 2 7 10 9 14 11 12 13 14 24 16 17 33 19 20 21 22 23 24 25 26 27 28 29 41 31 32 56 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 60 51 52 53 54 49 56 57 58 93 60 61 62 63 64 129 119 67 68 69 70 71 72 27 74 75 76 77 78 79 80 127 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 6910 1096 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n0000000010\n2\n1 1\n100\n1 2 3 4 5 2 7 10 9 14 11 12 13 14 24 16 17 33 19 20 21 22 23 24 25 26 27 28 29 41 31 32 56 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 60 25 52 53 54 49 56 57 58 93 60 61 62 63 64 129 119 67 68 69 70 71 72 27 74 75 76 77 78 79 80 127 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 6910 1096 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n0000000010\n2\n1 1\n100\n1 2 3 4 5 2 7 10 9 14 11 12 13 14 24 16 17 33 19 20 21 22 23 24 25 26 27 28 29 41 31 32 56 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 60 25 52 53 54 49 56 57 58 93 60 61 62 63 64 129 119 67 68 69 70 71 72 27 74 75 76 77 78 79 80 127 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 131 98 99 100\n",
"4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 6910 1096 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n0000000010\n2\n1 1\n100\n1 2 3 4 5 2 7 10 9 14 11 12 13 14 24 16 17 33 19 20 21 22 23 24 25 26 27 28 29 41 31 32 56 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 60 25 52 53 54 49 56 57 58 93 60 61 62 63 64 129 119 91 68 69 70 71 72 27 74 75 76 77 78 79 80 127 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 131 98 99 100\n",
"4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 6910 1096 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n0000000010\n2\n1 1\n100\n1 2 3 4 5 2 7 10 9 14 11 12 13 14 24 16 17 33 19 20 21 22 23 24 25 26 27 28 29 41 31 32 56 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 60 25 52 53 54 49 56 57 58 93 60 61 62 63 64 129 119 91 68 69 70 71 72 27 74 75 95 77 78 79 80 127 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 131 98 99 100\n",
"4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 6910 1096 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n0000000010\n2\n1 1\n100\n1 2 3 4 5 2 7 10 9 14 11 12 13 14 24 16 17 33 19 20 21 22 23 24 25 26 45 28 29 41 31 32 56 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 60 25 52 53 54 49 56 57 58 93 60 61 62 63 64 129 119 91 68 69 70 71 72 27 74 75 95 77 78 79 80 127 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 131 98 99 100\n",
"4\n23\n3198 4895 1585 3881 2650 2366 876 2731 1052 126 2152 3621 2169 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000000\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 25 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100\n",
"4\n23\n3198 4895 1585 3881 2650 2366 876 2731 1052 126 2152 3621 2169 4103 1074 2594 2897 3983 3830 3460 729 576 6244\n1\n1000000000\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n4\n5 3 4 6\n7\n1 4 2 1 6 4 9\n5\n5 4 6 2 1\n1\n9\n",
"4\n23\n3198 4895 1585 3881 2650 2366 876 2731 1052 126 2152 3621 2169 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000000\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 25 50 51 52 53 54 55 56 57 58 59 85 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n4\n5 3 4 6\n7\n1 4 2 3 6 4 13\n5\n5 5 6 2 1\n1\n9\n",
"4\n23\n3198 4895 1585 3881 2650 2366 876 2731 1052 126 2152 3621 2169 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000000\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 6 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n23\n3198 4895 1585 3881 2650 2366 876 2731 1971 126 2152 3621 2169 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000000\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 81 46 47 48 25 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n4\n5 3 4 6\n7\n1 0 2 3 6 4 9\n5\n5 5 11 2 1\n1\n11\n",
"4\n23\n3198 4895 1585 3881 2650 2366 876 2731 1971 126 2152 3621 2169 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000000\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 25 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 72 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n4\n5 4 4 6\n7\n1 4 2 3 6 7 9\n5\n5 5 11 2 1\n1\n11\n",
"4\n23\n3198 4895 1585 3881 2650 2366 876 2731 1971 126 2152 3621 2169 4103 588 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000000\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n4\n5 3 4 6\n7\n1 4 0 3 6 7 5\n5\n5 5 11 2 1\n1\n11\n",
"4\n23\n3198 4895 1585 3881 2650 2366 876 2731 1971 126 2152 1370 2169 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000000\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 41 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n4\n5 3 4 6\n7\n1 4 2 3 6 4 5\n5\n5 5 11 3 1\n1\n11\n",
"4\n23\n3198 4895 1585 3881 2650 2366 876 2731 1971 126 2152 3621 2169 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000000\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 41 51 52 53 54 14 56 57 58 59 60 61 62 63 64 65 119 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n23\n3198 4895 1585 3881 2650 2366 876 2731 1971 126 2152 3621 2169 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000000\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 24 16 17 18 19 20 21 22 21 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 41 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 119 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n23\n3198 4895 1585 3881 2650 2366 876 2731 1971 126 2152 3621 2169 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000000\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 24 16 17 18 19 20 21 22 23 24 25 26 27 28 29 41 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 41 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 119 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 159 97 98 99 100\n",
"4\n4\n5 6 5 6\n7\n1 4 2 3 6 4 5\n5\n5 1 11 2 1\n1\n11\n",
"4\n23\n3198 4895 1585 3881 2650 2920 876 2731 1971 126 2152 3621 2169 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000000\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 24 16 17 18 19 20 21 22 23 24 25 26 27 28 29 41 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 41 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 119 67 68 69 70 71 72 17 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n4\n5 6 3 6\n7\n1 4 2 3 4 4 5\n5\n4 1 11 2 1\n1\n11\n",
"4\n23\n3198 4895 1585 3916 2650 2920 876 2731 1971 126 2152 3621 2169 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000000\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 24 16 17 18 19 20 21 22 23 24 25 26 27 28 29 41 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 41 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 119 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 22 93 94 160 96 97 98 99 100\n",
"4\n4\n5 6 3 6\n7\n1 4 2 3 4 4 10\n5\n5 1 8 2 1\n1\n11\n",
"4\n23\n3198 4895 1585 3916 2650 2920 876 2731 1971 126 2152 3621 2169 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000010\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 24 16 17 18 19 20 21 22 23 24 25 26 27 28 29 41 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 41 51 52 53 54 55 56 57 58 59 60 61 62 63 102 65 119 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n23\n3198 4895 1585 3916 2650 2920 876 2731 1971 126 2152 3621 2169 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000010\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 24 16 17 18 19 20 21 22 23 24 25 26 27 28 29 41 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 41 51 52 53 54 49 56 57 58 59 60 61 62 63 64 65 119 67 68 69 70 71 72 73 74 75 76 95 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n4\n6 6 3 1\n7\n1 5 2 3 4 4 5\n5\n5 1 8 2 1\n1\n11\n",
"4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 3621 2169 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000010\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 24 16 17 18 19 20 21 22 23 24 25 26 27 28 29 41 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 41 51 52 53 54 49 56 57 58 59 60 61 62 63 64 65 119 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 17 92 93 94 160 96 97 98 99 100\n",
"4\n4\n6 6 3 11\n7\n1 5 2 3 7 4 5\n5\n5 1 8 2 1\n1\n11\n",
"4\n23\n3198 4895 282 3916 2650 5552 876 2731 1971 126 2152 3621 1096 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000010\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 24 16 17 18 19 20 21 22 23 24 25 26 27 28 29 41 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 41 51 52 53 54 49 56 57 58 59 60 61 62 63 64 65 119 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 3621 1096 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000010\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 24 16 17 18 19 20 21 22 23 24 25 26 27 28 29 41 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 41 51 52 53 54 49 56 57 58 59 60 61 62 63 64 129 42 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n4\n6 6 0 6\n7\n1 1 2 3 5 4 5\n5\n5 1 8 2 1\n1\n11\n",
"4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 3621 1096 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000010\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 24 16 17 18 19 20 21 22 23 24 25 26 27 28 29 41 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 41 51 52 53 54 49 56 57 58 59 60 61 62 63 64 129 119 67 68 69 70 71 72 27 74 75 76 77 78 79 80 81 82 83 84 85 115 87 37 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 3621 1096 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000010\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 24 16 17 18 19 20 21 22 23 24 25 26 27 28 29 41 31 32 56 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 41 51 52 53 54 49 56 57 58 59 60 61 62 88 64 129 119 67 68 69 70 71 72 27 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 3621 1096 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000010\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 24 16 17 18 19 20 21 22 23 24 25 26 27 28 29 41 31 32 56 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 60 51 52 53 54 49 56 57 58 59 60 61 62 63 64 129 119 67 68 69 70 71 72 27 74 75 76 77 78 79 80 81 82 83 84 85 161 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 3621 1096 4103 1074 3398 2897 3983 3830 3460 729 576 3281\n1\n1000000010\n2\n1 1\n100\n1 2 3 4 5 6 7 10 9 10 11 12 13 14 24 16 17 18 19 20 21 22 23 24 25 26 27 28 29 41 31 32 56 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 60 51 52 53 54 49 56 57 58 59 60 61 62 63 64 129 119 67 68 69 70 71 72 27 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 6910 1096 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000010\n2\n1 1\n100\n1 2 3 4 5 6 7 10 9 10 11 4 13 14 24 16 17 18 19 20 21 22 23 24 25 26 27 28 29 41 31 32 56 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 60 51 52 53 54 49 56 57 58 59 60 61 62 63 64 129 119 67 68 69 70 71 72 27 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 6910 1096 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000010\n2\n1 1\n100\n1 2 3 4 5 2 7 10 9 10 11 12 13 14 24 16 17 18 19 20 21 22 23 24 25 26 27 28 29 41 31 32 56 34 34 36 37 38 39 40 41 42 43 44 45 46 54 48 25 60 51 52 53 54 49 56 57 58 59 60 61 62 63 64 129 119 67 68 69 70 71 72 27 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 6910 1096 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000010\n2\n1 1\n100\n1 2 3 4 5 2 7 10 9 10 11 12 13 14 24 16 17 18 19 20 21 22 23 24 25 26 27 28 29 41 31 32 56 2 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 60 51 52 53 54 49 56 57 58 93 60 61 62 63 64 129 119 67 68 69 70 71 72 27 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 6910 1096 4103 1074 2594 1503 3983 3830 3460 729 576 3281\n1\n1000000010\n2\n1 1\n100\n1 2 3 4 5 2 7 10 9 10 11 12 13 14 24 16 17 33 19 20 21 22 23 24 25 26 27 28 29 41 31 32 56 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 60 51 52 53 54 49 56 57 58 93 60 61 62 63 64 129 119 67 68 69 70 71 72 27 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 6910 1096 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000010\n2\n1 1\n100\n1 2 3 4 5 2 7 10 9 10 11 12 13 14 24 16 17 33 19 20 21 22 23 24 25 26 27 28 29 41 31 32 56 34 32 36 37 38 39 40 41 42 43 44 45 46 54 48 25 60 51 52 53 54 49 56 57 58 93 60 61 62 63 64 129 119 67 68 69 70 71 72 27 74 75 76 77 78 79 80 127 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 6910 1096 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n0000000010\n2\n1 1\n100\n1 2 3 4 5 2 7 10 9 10 11 12 13 14 24 16 17 33 19 20 21 22 23 24 25 26 27 28 29 41 42 32 56 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 60 51 52 53 54 49 56 57 58 93 60 61 62 63 64 129 119 67 68 69 70 71 72 27 74 75 76 77 78 79 80 127 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 6910 1096 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n0000000010\n2\n1 1\n100\n1 2 3 4 5 2 7 10 9 14 11 12 13 14 24 16 17 33 19 20 21 22 23 24 25 26 27 0 29 41 31 32 56 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 60 51 52 53 54 49 56 57 58 93 60 61 62 63 64 129 119 67 68 69 70 71 72 27 74 75 76 77 78 79 80 127 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n"
],
"output": [
"2\n3\n1\n1\n",
"3\n1\n1\n7\n",
"3\n1\n1\n7\n",
"2\n3\n2\n1\n",
"1\n3\n2\n1\n",
"4\n1\n1\n7\n",
"2\n2\n2\n1\n",
"3\n1\n1\n7\n",
"2\n3\n2\n1\n",
"3\n1\n1\n7\n",
"2\n3\n2\n1\n",
"3\n1\n1\n7\n",
"2\n3\n2\n1\n",
"3\n1\n1\n7\n",
"2\n3\n2\n1\n",
"3\n1\n1\n7\n",
"2\n3\n2\n1\n",
"3\n1\n1\n7\n",
"2\n3\n2\n1\n",
"3\n1\n1\n7\n",
"2\n3\n2\n1\n",
"3\n1\n1\n7\n",
"2\n3\n2\n1\n",
"3\n1\n1\n7\n",
"2\n3\n2\n1\n",
"3\n1\n1\n7\n",
"2\n3\n2\n1\n",
"3\n1\n1\n7\n",
"2\n3\n2\n1\n",
"3\n1\n1\n7\n",
"3\n1\n1\n7\n",
"1\n3\n2\n1\n",
"3\n1\n1\n7\n",
"1\n3\n2\n1\n",
"3\n1\n1\n7\n",
"1\n3\n2\n1\n",
"3\n1\n1\n7\n",
"1\n3\n2\n1\n",
"3\n1\n1\n7\n",
"3\n1\n1\n7\n",
"3\n1\n1\n7\n",
"3\n1\n1\n7\n",
"4\n1\n1\n7\n",
"4\n1\n1\n7\n",
"4\n1\n1\n7\n",
"4\n1\n1\n7\n",
"4\n1\n1\n7\n",
"4\n1\n1\n7\n",
"4\n1\n1\n7\n",
"4\n1\n1\n7\n",
"4\n1\n1\n7\n",
"4\n1\n1\n7\n",
"4\n1\n1\n7\n",
"3\n1\n1\n7\n",
"3\n1\n1\n7\n",
"2\n3\n2\n1\n",
"3\n1\n1\n7\n",
"2\n3\n2\n1\n",
"3\n1\n1\n7\n",
"3\n1\n1\n7\n",
"2\n3\n2\n1\n",
"3\n1\n1\n7\n",
"2\n3\n2\n1\n",
"3\n1\n1\n7\n",
"2\n3\n2\n1\n",
"3\n1\n1\n7\n",
"2\n3\n2\n1\n",
"3\n1\n1\n7\n",
"3\n1\n1\n7\n",
"3\n1\n1\n7\n",
"2\n3\n2\n1\n",
"3\n1\n1\n7\n",
"2\n3\n2\n1\n",
"3\n1\n1\n7\n",
"2\n3\n2\n1\n",
"3\n1\n1\n7\n",
"3\n1\n1\n7\n",
"1\n3\n2\n1\n",
"3\n1\n1\n7\n",
"2\n3\n2\n1\n",
"3\n1\n1\n7\n",
"3\n1\n1\n7\n",
"1\n3\n2\n1\n",
"3\n1\n1\n7\n",
"3\n1\n1\n7\n",
"3\n1\n1\n7\n",
"3\n1\n1\n7\n",
"4\n1\n1\n7\n",
"4\n1\n1\n7\n",
"4\n1\n1\n7\n",
"4\n1\n1\n7\n",
"4\n1\n1\n7\n",
"4\n1\n1\n7\n",
"4\n1\n1\n7\n"
]
} | 2CODEFORCES
|
1350_B. Orac and Models_38205 | There are n models in the shop numbered from 1 to n, with sizes s_1, s_2, …, s_n.
Orac will buy some of the models and will arrange them in the order of increasing numbers (i.e. indices, but not sizes).
Orac thinks that the obtained arrangement is beatiful, if for any two adjacent models with indices i_j and i_{j+1} (note that i_j < i_{j+1}, because Orac arranged them properly), i_{j+1} is divisible by i_j and s_{i_j} < s_{i_{j+1}}.
For example, for 6 models with sizes \{3, 6, 7, 7, 7, 7\}, he can buy models with indices 1, 2, and 6, and the obtained arrangement will be beautiful. Also, note that the arrangement with exactly one model is also considered beautiful.
Orac wants to know the maximum number of models that he can buy, and he may ask you these queries many times.
Input
The first line contains one integer t\ (1 ≤ t≤ 100): the number of queries.
Each query contains two lines. The first line contains one integer n\ (1≤ n≤ 100 000): the number of models in the shop, and the second line contains n integers s_1,...,s_n\ (1≤ s_i≤ 10^9): the sizes of models.
It is guaranteed that the total sum of n is at most 100 000.
Output
Print t lines, the i-th of them should contain the maximum number of models that Orac can buy for the i-th query.
Example
Input
4
4
5 3 4 6
7
1 4 2 3 6 4 9
5
5 4 3 2 1
1
9
Output
2
3
1
1
Note
In the first query, for example, Orac can buy models with indices 2 and 4, the arrangement will be beautiful because 4 is divisible by 2 and 6 is more than 3. By enumerating, we can easily find that there are no beautiful arrangements with more than two models.
In the second query, Orac can buy models with indices 1, 3, and 6. By enumerating, we can easily find that there are no beautiful arrangements with more than three models.
In the third query, there are no beautiful arrangements with more than one model. | import sys
import math
t=int(sys.stdin.readline())
for _ in range(t):
n=int(sys.stdin.readline())
arr=list(map(int,sys.stdin.readline().split()))
dp=[1 for x in range(n+1)]
for i in range(n-1,0,-1):
j=i*2
cnt=2
cur=1
while j<=n:
y=dp[j]
if arr[j-1]>arr[i-1]:
cur=max(cur,1+y)
cnt+=1
j=i*cnt
dp[i]=cur
#print(dp,'dp')
ans=max(dp)
print(ans)
| 3Python3
| {
"input": [
"4\n4\n5 3 4 6\n7\n1 4 2 3 6 4 9\n5\n5 4 3 2 1\n1\n9\n",
"4\n23\n3198 4895 1585 3881 2650 2366 876 2731 1052 126 2152 3621 2169 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000000\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100\n",
"4\n23\n3198 4895 1585 3881 2650 2366 876 2731 1052 126 2152 3621 2169 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000000\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n4\n5 3 4 6\n7\n1 4 2 3 6 4 9\n5\n5 4 6 2 1\n1\n9\n",
"4\n4\n6 6 3 6\n7\n1 4 2 3 4 4 5\n5\n5 1 8 2 1\n1\n11\n",
"4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 6910 1096 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000010\n2\n1 1\n100\n1 2 3 4 5 6 7 10 9 10 11 12 13 14 24 16 17 18 19 20 21 22 23 24 25 26 27 28 29 41 31 32 56 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 60 51 52 53 54 49 56 57 58 59 60 61 62 63 64 129 119 67 68 69 70 71 72 27 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n4\n5 6 4 6\n7\n1 4 2 3 6 1 5\n5\n5 1 11 2 1\n1\n11\n",
"4\n23\n3198 4895 1585 3881 2650 2366 876 2731 1052 126 2152 3621 2169 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000000\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 25 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n4\n5 3 4 6\n7\n1 4 2 3 6 4 9\n5\n5 5 6 2 1\n1\n9\n",
"4\n23\n3198 4895 1585 3881 2650 2366 876 2731 1052 126 2152 3621 2169 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000000\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 25 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n4\n5 3 4 6\n7\n1 4 2 3 6 4 9\n5\n5 5 11 2 1\n1\n9\n",
"4\n23\n3198 4895 1585 3881 2650 2366 876 2731 1971 126 2152 3621 2169 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000000\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 25 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n4\n5 3 4 6\n7\n1 4 2 3 6 4 9\n5\n5 5 11 2 1\n1\n11\n",
"4\n23\n3198 4895 1585 3881 2650 2366 876 2731 1971 126 2152 3621 2169 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000000\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 25 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n4\n5 3 4 6\n7\n1 4 2 3 6 7 9\n5\n5 5 11 2 1\n1\n11\n",
"4\n23\n3198 4895 1585 3881 2650 2366 876 2731 1971 126 2152 3621 2169 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000000\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n4\n5 3 4 6\n7\n1 4 2 3 6 7 5\n5\n5 5 11 2 1\n1\n11\n",
"4\n23\n3198 4895 1585 3881 2650 2366 876 2731 1971 126 2152 3621 2169 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000000\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 41 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n4\n5 3 4 6\n7\n1 4 2 3 6 4 5\n5\n5 5 11 2 1\n1\n11\n",
"4\n23\n3198 4895 1585 3881 2650 2366 876 2731 1971 126 2152 3621 2169 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000000\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 41 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 119 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n4\n5 3 4 6\n7\n1 4 2 3 6 4 5\n5\n5 1 11 2 1\n1\n11\n",
"4\n23\n3198 4895 1585 3881 2650 2366 876 2731 1971 126 2152 3621 2169 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000000\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 24 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 41 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 119 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n4\n5 6 4 6\n7\n1 4 2 3 6 4 5\n5\n5 1 11 2 1\n1\n11\n",
"4\n23\n3198 4895 1585 3881 2650 2366 876 2731 1971 126 2152 3621 2169 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000000\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 24 16 17 18 19 20 21 22 23 24 25 26 27 28 29 41 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 41 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 119 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n4\n5 6 3 6\n7\n1 4 2 3 6 4 5\n5\n5 1 11 2 1\n1\n11\n",
"4\n23\n3198 4895 1585 3881 2650 2920 876 2731 1971 126 2152 3621 2169 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000000\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 24 16 17 18 19 20 21 22 23 24 25 26 27 28 29 41 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 41 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 119 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n4\n5 6 3 6\n7\n1 4 2 3 4 4 5\n5\n5 1 11 2 1\n1\n11\n",
"4\n23\n3198 4895 1585 3916 2650 2920 876 2731 1971 126 2152 3621 2169 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000000\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 24 16 17 18 19 20 21 22 23 24 25 26 27 28 29 41 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 41 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 119 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n4\n5 6 3 6\n7\n1 4 2 3 4 4 5\n5\n5 1 8 2 1\n1\n11\n",
"4\n23\n3198 4895 1585 3916 2650 2920 876 2731 1971 126 2152 3621 2169 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000010\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 24 16 17 18 19 20 21 22 23 24 25 26 27 28 29 41 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 41 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 119 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n23\n3198 4895 1585 3916 2650 2920 876 2731 1971 126 2152 3621 2169 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000010\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 24 16 17 18 19 20 21 22 23 24 25 26 27 28 29 41 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 41 51 52 53 54 49 56 57 58 59 60 61 62 63 64 65 119 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n4\n6 6 3 6\n7\n1 5 2 3 4 4 5\n5\n5 1 8 2 1\n1\n11\n",
"4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 3621 2169 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000010\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 24 16 17 18 19 20 21 22 23 24 25 26 27 28 29 41 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 41 51 52 53 54 49 56 57 58 59 60 61 62 63 64 65 119 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n4\n6 6 3 6\n7\n1 5 2 3 7 4 5\n5\n5 1 8 2 1\n1\n11\n",
"4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 3621 1096 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000010\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 24 16 17 18 19 20 21 22 23 24 25 26 27 28 29 41 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 41 51 52 53 54 49 56 57 58 59 60 61 62 63 64 65 119 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n4\n6 6 3 6\n7\n1 1 2 3 7 4 5\n5\n5 1 8 2 1\n1\n11\n",
"4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 3621 1096 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000010\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 24 16 17 18 19 20 21 22 23 24 25 26 27 28 29 41 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 41 51 52 53 54 49 56 57 58 59 60 61 62 63 64 129 119 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n4\n6 6 3 6\n7\n1 1 2 3 5 4 5\n5\n5 1 8 2 1\n1\n11\n",
"4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 3621 1096 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000010\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 24 16 17 18 19 20 21 22 23 24 25 26 27 28 29 41 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 41 51 52 53 54 49 56 57 58 59 60 61 62 63 64 129 119 67 68 69 70 71 72 27 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 3621 1096 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000010\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 24 16 17 18 19 20 21 22 23 24 25 26 27 28 29 41 31 32 56 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 41 51 52 53 54 49 56 57 58 59 60 61 62 63 64 129 119 67 68 69 70 71 72 27 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 3621 1096 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000010\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 24 16 17 18 19 20 21 22 23 24 25 26 27 28 29 41 31 32 56 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 60 51 52 53 54 49 56 57 58 59 60 61 62 63 64 129 119 67 68 69 70 71 72 27 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 3621 1096 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000010\n2\n1 1\n100\n1 2 3 4 5 6 7 10 9 10 11 12 13 14 24 16 17 18 19 20 21 22 23 24 25 26 27 28 29 41 31 32 56 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 60 51 52 53 54 49 56 57 58 59 60 61 62 63 64 129 119 67 68 69 70 71 72 27 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 6910 1096 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000010\n2\n1 1\n100\n1 2 3 4 5 2 7 10 9 10 11 12 13 14 24 16 17 18 19 20 21 22 23 24 25 26 27 28 29 41 31 32 56 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 60 51 52 53 54 49 56 57 58 59 60 61 62 63 64 129 119 67 68 69 70 71 72 27 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 6910 1096 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000010\n2\n1 1\n100\n1 2 3 4 5 2 7 10 9 10 11 12 13 14 24 16 17 18 19 20 21 22 23 24 25 26 27 28 29 41 31 32 56 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 60 51 52 53 54 49 56 57 58 93 60 61 62 63 64 129 119 67 68 69 70 71 72 27 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 6910 1096 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000010\n2\n1 1\n100\n1 2 3 4 5 2 7 10 9 10 11 12 13 14 24 16 17 33 19 20 21 22 23 24 25 26 27 28 29 41 31 32 56 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 60 51 52 53 54 49 56 57 58 93 60 61 62 63 64 129 119 67 68 69 70 71 72 27 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 6910 1096 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000010\n2\n1 1\n100\n1 2 3 4 5 2 7 10 9 10 11 12 13 14 24 16 17 33 19 20 21 22 23 24 25 26 27 28 29 41 31 32 56 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 60 51 52 53 54 49 56 57 58 93 60 61 62 63 64 129 119 67 68 69 70 71 72 27 74 75 76 77 78 79 80 127 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 6910 1096 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n0000000010\n2\n1 1\n100\n1 2 3 4 5 2 7 10 9 10 11 12 13 14 24 16 17 33 19 20 21 22 23 24 25 26 27 28 29 41 31 32 56 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 60 51 52 53 54 49 56 57 58 93 60 61 62 63 64 129 119 67 68 69 70 71 72 27 74 75 76 77 78 79 80 127 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 6910 1096 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n0000000010\n2\n1 1\n100\n1 2 3 4 5 2 7 10 9 14 11 12 13 14 24 16 17 33 19 20 21 22 23 24 25 26 27 28 29 41 31 32 56 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 60 51 52 53 54 49 56 57 58 93 60 61 62 63 64 129 119 67 68 69 70 71 72 27 74 75 76 77 78 79 80 127 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 6910 1096 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n0000000010\n2\n1 1\n100\n1 2 3 4 5 2 7 10 9 14 11 12 13 14 24 16 17 33 19 20 21 22 23 24 25 26 27 28 29 41 31 32 56 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 60 25 52 53 54 49 56 57 58 93 60 61 62 63 64 129 119 67 68 69 70 71 72 27 74 75 76 77 78 79 80 127 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 6910 1096 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n0000000010\n2\n1 1\n100\n1 2 3 4 5 2 7 10 9 14 11 12 13 14 24 16 17 33 19 20 21 22 23 24 25 26 27 28 29 41 31 32 56 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 60 25 52 53 54 49 56 57 58 93 60 61 62 63 64 129 119 67 68 69 70 71 72 27 74 75 76 77 78 79 80 127 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 131 98 99 100\n",
"4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 6910 1096 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n0000000010\n2\n1 1\n100\n1 2 3 4 5 2 7 10 9 14 11 12 13 14 24 16 17 33 19 20 21 22 23 24 25 26 27 28 29 41 31 32 56 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 60 25 52 53 54 49 56 57 58 93 60 61 62 63 64 129 119 91 68 69 70 71 72 27 74 75 76 77 78 79 80 127 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 131 98 99 100\n",
"4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 6910 1096 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n0000000010\n2\n1 1\n100\n1 2 3 4 5 2 7 10 9 14 11 12 13 14 24 16 17 33 19 20 21 22 23 24 25 26 27 28 29 41 31 32 56 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 60 25 52 53 54 49 56 57 58 93 60 61 62 63 64 129 119 91 68 69 70 71 72 27 74 75 95 77 78 79 80 127 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 131 98 99 100\n",
"4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 6910 1096 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n0000000010\n2\n1 1\n100\n1 2 3 4 5 2 7 10 9 14 11 12 13 14 24 16 17 33 19 20 21 22 23 24 25 26 45 28 29 41 31 32 56 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 60 25 52 53 54 49 56 57 58 93 60 61 62 63 64 129 119 91 68 69 70 71 72 27 74 75 95 77 78 79 80 127 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 131 98 99 100\n",
"4\n23\n3198 4895 1585 3881 2650 2366 876 2731 1052 126 2152 3621 2169 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000000\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 25 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100\n",
"4\n23\n3198 4895 1585 3881 2650 2366 876 2731 1052 126 2152 3621 2169 4103 1074 2594 2897 3983 3830 3460 729 576 6244\n1\n1000000000\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n4\n5 3 4 6\n7\n1 4 2 1 6 4 9\n5\n5 4 6 2 1\n1\n9\n",
"4\n23\n3198 4895 1585 3881 2650 2366 876 2731 1052 126 2152 3621 2169 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000000\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 25 50 51 52 53 54 55 56 57 58 59 85 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n4\n5 3 4 6\n7\n1 4 2 3 6 4 13\n5\n5 5 6 2 1\n1\n9\n",
"4\n23\n3198 4895 1585 3881 2650 2366 876 2731 1052 126 2152 3621 2169 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000000\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 6 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n23\n3198 4895 1585 3881 2650 2366 876 2731 1971 126 2152 3621 2169 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000000\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 81 46 47 48 25 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n4\n5 3 4 6\n7\n1 0 2 3 6 4 9\n5\n5 5 11 2 1\n1\n11\n",
"4\n23\n3198 4895 1585 3881 2650 2366 876 2731 1971 126 2152 3621 2169 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000000\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 25 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 72 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n4\n5 4 4 6\n7\n1 4 2 3 6 7 9\n5\n5 5 11 2 1\n1\n11\n",
"4\n23\n3198 4895 1585 3881 2650 2366 876 2731 1971 126 2152 3621 2169 4103 588 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000000\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n4\n5 3 4 6\n7\n1 4 0 3 6 7 5\n5\n5 5 11 2 1\n1\n11\n",
"4\n23\n3198 4895 1585 3881 2650 2366 876 2731 1971 126 2152 1370 2169 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000000\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 41 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n4\n5 3 4 6\n7\n1 4 2 3 6 4 5\n5\n5 5 11 3 1\n1\n11\n",
"4\n23\n3198 4895 1585 3881 2650 2366 876 2731 1971 126 2152 3621 2169 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000000\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 41 51 52 53 54 14 56 57 58 59 60 61 62 63 64 65 119 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n23\n3198 4895 1585 3881 2650 2366 876 2731 1971 126 2152 3621 2169 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000000\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 24 16 17 18 19 20 21 22 21 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 41 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 119 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n23\n3198 4895 1585 3881 2650 2366 876 2731 1971 126 2152 3621 2169 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000000\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 24 16 17 18 19 20 21 22 23 24 25 26 27 28 29 41 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 41 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 119 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 159 97 98 99 100\n",
"4\n4\n5 6 5 6\n7\n1 4 2 3 6 4 5\n5\n5 1 11 2 1\n1\n11\n",
"4\n23\n3198 4895 1585 3881 2650 2920 876 2731 1971 126 2152 3621 2169 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000000\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 24 16 17 18 19 20 21 22 23 24 25 26 27 28 29 41 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 41 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 119 67 68 69 70 71 72 17 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n4\n5 6 3 6\n7\n1 4 2 3 4 4 5\n5\n4 1 11 2 1\n1\n11\n",
"4\n23\n3198 4895 1585 3916 2650 2920 876 2731 1971 126 2152 3621 2169 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000000\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 24 16 17 18 19 20 21 22 23 24 25 26 27 28 29 41 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 41 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 119 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 22 93 94 160 96 97 98 99 100\n",
"4\n4\n5 6 3 6\n7\n1 4 2 3 4 4 10\n5\n5 1 8 2 1\n1\n11\n",
"4\n23\n3198 4895 1585 3916 2650 2920 876 2731 1971 126 2152 3621 2169 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000010\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 24 16 17 18 19 20 21 22 23 24 25 26 27 28 29 41 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 41 51 52 53 54 55 56 57 58 59 60 61 62 63 102 65 119 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n23\n3198 4895 1585 3916 2650 2920 876 2731 1971 126 2152 3621 2169 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000010\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 24 16 17 18 19 20 21 22 23 24 25 26 27 28 29 41 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 41 51 52 53 54 49 56 57 58 59 60 61 62 63 64 65 119 67 68 69 70 71 72 73 74 75 76 95 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n4\n6 6 3 1\n7\n1 5 2 3 4 4 5\n5\n5 1 8 2 1\n1\n11\n",
"4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 3621 2169 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000010\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 24 16 17 18 19 20 21 22 23 24 25 26 27 28 29 41 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 41 51 52 53 54 49 56 57 58 59 60 61 62 63 64 65 119 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 17 92 93 94 160 96 97 98 99 100\n",
"4\n4\n6 6 3 11\n7\n1 5 2 3 7 4 5\n5\n5 1 8 2 1\n1\n11\n",
"4\n23\n3198 4895 282 3916 2650 5552 876 2731 1971 126 2152 3621 1096 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000010\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 24 16 17 18 19 20 21 22 23 24 25 26 27 28 29 41 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 41 51 52 53 54 49 56 57 58 59 60 61 62 63 64 65 119 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 3621 1096 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000010\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 24 16 17 18 19 20 21 22 23 24 25 26 27 28 29 41 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 41 51 52 53 54 49 56 57 58 59 60 61 62 63 64 129 42 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n4\n6 6 0 6\n7\n1 1 2 3 5 4 5\n5\n5 1 8 2 1\n1\n11\n",
"4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 3621 1096 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000010\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 24 16 17 18 19 20 21 22 23 24 25 26 27 28 29 41 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 41 51 52 53 54 49 56 57 58 59 60 61 62 63 64 129 119 67 68 69 70 71 72 27 74 75 76 77 78 79 80 81 82 83 84 85 115 87 37 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 3621 1096 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000010\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 24 16 17 18 19 20 21 22 23 24 25 26 27 28 29 41 31 32 56 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 41 51 52 53 54 49 56 57 58 59 60 61 62 88 64 129 119 67 68 69 70 71 72 27 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 3621 1096 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000010\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 24 16 17 18 19 20 21 22 23 24 25 26 27 28 29 41 31 32 56 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 60 51 52 53 54 49 56 57 58 59 60 61 62 63 64 129 119 67 68 69 70 71 72 27 74 75 76 77 78 79 80 81 82 83 84 85 161 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 3621 1096 4103 1074 3398 2897 3983 3830 3460 729 576 3281\n1\n1000000010\n2\n1 1\n100\n1 2 3 4 5 6 7 10 9 10 11 12 13 14 24 16 17 18 19 20 21 22 23 24 25 26 27 28 29 41 31 32 56 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 60 51 52 53 54 49 56 57 58 59 60 61 62 63 64 129 119 67 68 69 70 71 72 27 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 6910 1096 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000010\n2\n1 1\n100\n1 2 3 4 5 6 7 10 9 10 11 4 13 14 24 16 17 18 19 20 21 22 23 24 25 26 27 28 29 41 31 32 56 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 60 51 52 53 54 49 56 57 58 59 60 61 62 63 64 129 119 67 68 69 70 71 72 27 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 6910 1096 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000010\n2\n1 1\n100\n1 2 3 4 5 2 7 10 9 10 11 12 13 14 24 16 17 18 19 20 21 22 23 24 25 26 27 28 29 41 31 32 56 34 34 36 37 38 39 40 41 42 43 44 45 46 54 48 25 60 51 52 53 54 49 56 57 58 59 60 61 62 63 64 129 119 67 68 69 70 71 72 27 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 6910 1096 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000010\n2\n1 1\n100\n1 2 3 4 5 2 7 10 9 10 11 12 13 14 24 16 17 18 19 20 21 22 23 24 25 26 27 28 29 41 31 32 56 2 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 60 51 52 53 54 49 56 57 58 93 60 61 62 63 64 129 119 67 68 69 70 71 72 27 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 6910 1096 4103 1074 2594 1503 3983 3830 3460 729 576 3281\n1\n1000000010\n2\n1 1\n100\n1 2 3 4 5 2 7 10 9 10 11 12 13 14 24 16 17 33 19 20 21 22 23 24 25 26 27 28 29 41 31 32 56 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 60 51 52 53 54 49 56 57 58 93 60 61 62 63 64 129 119 67 68 69 70 71 72 27 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 6910 1096 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000010\n2\n1 1\n100\n1 2 3 4 5 2 7 10 9 10 11 12 13 14 24 16 17 33 19 20 21 22 23 24 25 26 27 28 29 41 31 32 56 34 32 36 37 38 39 40 41 42 43 44 45 46 54 48 25 60 51 52 53 54 49 56 57 58 93 60 61 62 63 64 129 119 67 68 69 70 71 72 27 74 75 76 77 78 79 80 127 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 6910 1096 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n0000000010\n2\n1 1\n100\n1 2 3 4 5 2 7 10 9 10 11 12 13 14 24 16 17 33 19 20 21 22 23 24 25 26 27 28 29 41 42 32 56 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 60 51 52 53 54 49 56 57 58 93 60 61 62 63 64 129 119 67 68 69 70 71 72 27 74 75 76 77 78 79 80 127 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 6910 1096 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n0000000010\n2\n1 1\n100\n1 2 3 4 5 2 7 10 9 14 11 12 13 14 24 16 17 33 19 20 21 22 23 24 25 26 27 0 29 41 31 32 56 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 60 51 52 53 54 49 56 57 58 93 60 61 62 63 64 129 119 67 68 69 70 71 72 27 74 75 76 77 78 79 80 127 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n"
],
"output": [
"2\n3\n1\n1\n",
"3\n1\n1\n7\n",
"3\n1\n1\n7\n",
"2\n3\n2\n1\n",
"1\n3\n2\n1\n",
"4\n1\n1\n7\n",
"2\n2\n2\n1\n",
"3\n1\n1\n7\n",
"2\n3\n2\n1\n",
"3\n1\n1\n7\n",
"2\n3\n2\n1\n",
"3\n1\n1\n7\n",
"2\n3\n2\n1\n",
"3\n1\n1\n7\n",
"2\n3\n2\n1\n",
"3\n1\n1\n7\n",
"2\n3\n2\n1\n",
"3\n1\n1\n7\n",
"2\n3\n2\n1\n",
"3\n1\n1\n7\n",
"2\n3\n2\n1\n",
"3\n1\n1\n7\n",
"2\n3\n2\n1\n",
"3\n1\n1\n7\n",
"2\n3\n2\n1\n",
"3\n1\n1\n7\n",
"2\n3\n2\n1\n",
"3\n1\n1\n7\n",
"2\n3\n2\n1\n",
"3\n1\n1\n7\n",
"3\n1\n1\n7\n",
"1\n3\n2\n1\n",
"3\n1\n1\n7\n",
"1\n3\n2\n1\n",
"3\n1\n1\n7\n",
"1\n3\n2\n1\n",
"3\n1\n1\n7\n",
"1\n3\n2\n1\n",
"3\n1\n1\n7\n",
"3\n1\n1\n7\n",
"3\n1\n1\n7\n",
"3\n1\n1\n7\n",
"4\n1\n1\n7\n",
"4\n1\n1\n7\n",
"4\n1\n1\n7\n",
"4\n1\n1\n7\n",
"4\n1\n1\n7\n",
"4\n1\n1\n7\n",
"4\n1\n1\n7\n",
"4\n1\n1\n7\n",
"4\n1\n1\n7\n",
"4\n1\n1\n7\n",
"4\n1\n1\n7\n",
"3\n1\n1\n7\n",
"3\n1\n1\n7\n",
"2\n3\n2\n1\n",
"3\n1\n1\n7\n",
"2\n3\n2\n1\n",
"3\n1\n1\n7\n",
"3\n1\n1\n7\n",
"2\n3\n2\n1\n",
"3\n1\n1\n7\n",
"2\n3\n2\n1\n",
"3\n1\n1\n7\n",
"2\n3\n2\n1\n",
"3\n1\n1\n7\n",
"2\n3\n2\n1\n",
"3\n1\n1\n7\n",
"3\n1\n1\n7\n",
"3\n1\n1\n7\n",
"2\n3\n2\n1\n",
"3\n1\n1\n7\n",
"2\n3\n2\n1\n",
"3\n1\n1\n7\n",
"2\n3\n2\n1\n",
"3\n1\n1\n7\n",
"3\n1\n1\n7\n",
"1\n3\n2\n1\n",
"3\n1\n1\n7\n",
"2\n3\n2\n1\n",
"3\n1\n1\n7\n",
"3\n1\n1\n7\n",
"1\n3\n2\n1\n",
"3\n1\n1\n7\n",
"3\n1\n1\n7\n",
"3\n1\n1\n7\n",
"3\n1\n1\n7\n",
"4\n1\n1\n7\n",
"4\n1\n1\n7\n",
"4\n1\n1\n7\n",
"4\n1\n1\n7\n",
"4\n1\n1\n7\n",
"4\n1\n1\n7\n",
"4\n1\n1\n7\n"
]
} | 2CODEFORCES
|
1350_B. Orac and Models_38206 | There are n models in the shop numbered from 1 to n, with sizes s_1, s_2, …, s_n.
Orac will buy some of the models and will arrange them in the order of increasing numbers (i.e. indices, but not sizes).
Orac thinks that the obtained arrangement is beatiful, if for any two adjacent models with indices i_j and i_{j+1} (note that i_j < i_{j+1}, because Orac arranged them properly), i_{j+1} is divisible by i_j and s_{i_j} < s_{i_{j+1}}.
For example, for 6 models with sizes \{3, 6, 7, 7, 7, 7\}, he can buy models with indices 1, 2, and 6, and the obtained arrangement will be beautiful. Also, note that the arrangement with exactly one model is also considered beautiful.
Orac wants to know the maximum number of models that he can buy, and he may ask you these queries many times.
Input
The first line contains one integer t\ (1 ≤ t≤ 100): the number of queries.
Each query contains two lines. The first line contains one integer n\ (1≤ n≤ 100 000): the number of models in the shop, and the second line contains n integers s_1,...,s_n\ (1≤ s_i≤ 10^9): the sizes of models.
It is guaranteed that the total sum of n is at most 100 000.
Output
Print t lines, the i-th of them should contain the maximum number of models that Orac can buy for the i-th query.
Example
Input
4
4
5 3 4 6
7
1 4 2 3 6 4 9
5
5 4 3 2 1
1
9
Output
2
3
1
1
Note
In the first query, for example, Orac can buy models with indices 2 and 4, the arrangement will be beautiful because 4 is divisible by 2 and 6 is more than 3. By enumerating, we can easily find that there are no beautiful arrangements with more than two models.
In the second query, Orac can buy models with indices 1, 3, and 6. By enumerating, we can easily find that there are no beautiful arrangements with more than three models.
In the third query, there are no beautiful arrangements with more than one model. | import java.math.*;
import java.io.*;
import java.util.*;
public class Solution {
static long[] a;
static int max;
public static void main(String[] args) throws IOException{
FastScanner sc = new FastScanner(System.in);
BufferedWriter bw = new BufferedWriter(new OutputStreamWriter(System.out));
int t = sc.nextInt();
while (t-->0) {
int n = sc.nextInt();
max= 0 ;
a = new long[n];
for (int i=0;i<n ;i++ ) {
a[i] = sc.nextLong();
}
for (int i=1;i<=n ;i++ ) {
doit(i,1);
}
bw.write(max+"\n");
}
bw.close();
}
static void doit(int n, int p){
//if(n>=a.length) return;
max = Math.max(max, p);
for (int i=2;i*n<=a.length ;i++ ) {
if (a[i*n-1]>a[n-1]) {
doit(i*n,p+1);
}
}
}
static class Pair implements Comparable<Pair>{
long a;
long b;
public Pair(long c, long d){
a = c;
b = d;
}
public int compareTo(Pair p){
return (int)(a-p.a);
}
}
static int gcd(int a, int b){
if(b==0) return a;
return gcd(b,a%b);
}
static long power(long a, long b, long c){
if(b==0) return 1L;
if(b==1) return a;
long temp = power(a, b/2, c);
if(b%2==0) return (temp*temp)%c;
else return (((temp*temp)%c)*a)%c;
}
static class FastScanner {
BufferedReader br;
StringTokenizer st;
FastScanner(File f) {
try {
br = new BufferedReader(new FileReader(f));
} catch (FileNotFoundException e) {
e.printStackTrace();
}
}
FastScanner(InputStream f) {
br = new BufferedReader(new InputStreamReader(f));
}
String nextLine() {
try {
return br.readLine();
} catch (IOException e) {
return null;
}
}
String next() {
while (st == null || !st.hasMoreTokens()) {
try {
st = new StringTokenizer(br.readLine());
} catch (IOException e) {
e.printStackTrace();
}
}
return st.nextToken();
}
int nextInt() {
return Integer.parseInt(next());
}
long nextLong() {
return Long.parseLong(next());
}
double nextDouble() {
return Double.parseDouble(next());
}
}
} | 4JAVA
| {
"input": [
"4\n4\n5 3 4 6\n7\n1 4 2 3 6 4 9\n5\n5 4 3 2 1\n1\n9\n",
"4\n23\n3198 4895 1585 3881 2650 2366 876 2731 1052 126 2152 3621 2169 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000000\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100\n",
"4\n23\n3198 4895 1585 3881 2650 2366 876 2731 1052 126 2152 3621 2169 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000000\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n4\n5 3 4 6\n7\n1 4 2 3 6 4 9\n5\n5 4 6 2 1\n1\n9\n",
"4\n4\n6 6 3 6\n7\n1 4 2 3 4 4 5\n5\n5 1 8 2 1\n1\n11\n",
"4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 6910 1096 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000010\n2\n1 1\n100\n1 2 3 4 5 6 7 10 9 10 11 12 13 14 24 16 17 18 19 20 21 22 23 24 25 26 27 28 29 41 31 32 56 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 60 51 52 53 54 49 56 57 58 59 60 61 62 63 64 129 119 67 68 69 70 71 72 27 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n4\n5 6 4 6\n7\n1 4 2 3 6 1 5\n5\n5 1 11 2 1\n1\n11\n",
"4\n23\n3198 4895 1585 3881 2650 2366 876 2731 1052 126 2152 3621 2169 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000000\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 25 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n4\n5 3 4 6\n7\n1 4 2 3 6 4 9\n5\n5 5 6 2 1\n1\n9\n",
"4\n23\n3198 4895 1585 3881 2650 2366 876 2731 1052 126 2152 3621 2169 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000000\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 25 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n4\n5 3 4 6\n7\n1 4 2 3 6 4 9\n5\n5 5 11 2 1\n1\n9\n",
"4\n23\n3198 4895 1585 3881 2650 2366 876 2731 1971 126 2152 3621 2169 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000000\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 25 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n4\n5 3 4 6\n7\n1 4 2 3 6 4 9\n5\n5 5 11 2 1\n1\n11\n",
"4\n23\n3198 4895 1585 3881 2650 2366 876 2731 1971 126 2152 3621 2169 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000000\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 25 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n4\n5 3 4 6\n7\n1 4 2 3 6 7 9\n5\n5 5 11 2 1\n1\n11\n",
"4\n23\n3198 4895 1585 3881 2650 2366 876 2731 1971 126 2152 3621 2169 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000000\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n4\n5 3 4 6\n7\n1 4 2 3 6 7 5\n5\n5 5 11 2 1\n1\n11\n",
"4\n23\n3198 4895 1585 3881 2650 2366 876 2731 1971 126 2152 3621 2169 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000000\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 41 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n4\n5 3 4 6\n7\n1 4 2 3 6 4 5\n5\n5 5 11 2 1\n1\n11\n",
"4\n23\n3198 4895 1585 3881 2650 2366 876 2731 1971 126 2152 3621 2169 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000000\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 41 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 119 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n4\n5 3 4 6\n7\n1 4 2 3 6 4 5\n5\n5 1 11 2 1\n1\n11\n",
"4\n23\n3198 4895 1585 3881 2650 2366 876 2731 1971 126 2152 3621 2169 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000000\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 24 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 41 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 119 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n4\n5 6 4 6\n7\n1 4 2 3 6 4 5\n5\n5 1 11 2 1\n1\n11\n",
"4\n23\n3198 4895 1585 3881 2650 2366 876 2731 1971 126 2152 3621 2169 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000000\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 24 16 17 18 19 20 21 22 23 24 25 26 27 28 29 41 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 41 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 119 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n4\n5 6 3 6\n7\n1 4 2 3 6 4 5\n5\n5 1 11 2 1\n1\n11\n",
"4\n23\n3198 4895 1585 3881 2650 2920 876 2731 1971 126 2152 3621 2169 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000000\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 24 16 17 18 19 20 21 22 23 24 25 26 27 28 29 41 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 41 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 119 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n4\n5 6 3 6\n7\n1 4 2 3 4 4 5\n5\n5 1 11 2 1\n1\n11\n",
"4\n23\n3198 4895 1585 3916 2650 2920 876 2731 1971 126 2152 3621 2169 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000000\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 24 16 17 18 19 20 21 22 23 24 25 26 27 28 29 41 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 41 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 119 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n4\n5 6 3 6\n7\n1 4 2 3 4 4 5\n5\n5 1 8 2 1\n1\n11\n",
"4\n23\n3198 4895 1585 3916 2650 2920 876 2731 1971 126 2152 3621 2169 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000010\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 24 16 17 18 19 20 21 22 23 24 25 26 27 28 29 41 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 41 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 119 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n23\n3198 4895 1585 3916 2650 2920 876 2731 1971 126 2152 3621 2169 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000010\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 24 16 17 18 19 20 21 22 23 24 25 26 27 28 29 41 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 41 51 52 53 54 49 56 57 58 59 60 61 62 63 64 65 119 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n4\n6 6 3 6\n7\n1 5 2 3 4 4 5\n5\n5 1 8 2 1\n1\n11\n",
"4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 3621 2169 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000010\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 24 16 17 18 19 20 21 22 23 24 25 26 27 28 29 41 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 41 51 52 53 54 49 56 57 58 59 60 61 62 63 64 65 119 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n4\n6 6 3 6\n7\n1 5 2 3 7 4 5\n5\n5 1 8 2 1\n1\n11\n",
"4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 3621 1096 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000010\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 24 16 17 18 19 20 21 22 23 24 25 26 27 28 29 41 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 41 51 52 53 54 49 56 57 58 59 60 61 62 63 64 65 119 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n4\n6 6 3 6\n7\n1 1 2 3 7 4 5\n5\n5 1 8 2 1\n1\n11\n",
"4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 3621 1096 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000010\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 24 16 17 18 19 20 21 22 23 24 25 26 27 28 29 41 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 41 51 52 53 54 49 56 57 58 59 60 61 62 63 64 129 119 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n4\n6 6 3 6\n7\n1 1 2 3 5 4 5\n5\n5 1 8 2 1\n1\n11\n",
"4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 3621 1096 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000010\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 24 16 17 18 19 20 21 22 23 24 25 26 27 28 29 41 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 41 51 52 53 54 49 56 57 58 59 60 61 62 63 64 129 119 67 68 69 70 71 72 27 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 3621 1096 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000010\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 24 16 17 18 19 20 21 22 23 24 25 26 27 28 29 41 31 32 56 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 41 51 52 53 54 49 56 57 58 59 60 61 62 63 64 129 119 67 68 69 70 71 72 27 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 3621 1096 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000010\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 24 16 17 18 19 20 21 22 23 24 25 26 27 28 29 41 31 32 56 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 60 51 52 53 54 49 56 57 58 59 60 61 62 63 64 129 119 67 68 69 70 71 72 27 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 3621 1096 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000010\n2\n1 1\n100\n1 2 3 4 5 6 7 10 9 10 11 12 13 14 24 16 17 18 19 20 21 22 23 24 25 26 27 28 29 41 31 32 56 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 60 51 52 53 54 49 56 57 58 59 60 61 62 63 64 129 119 67 68 69 70 71 72 27 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 6910 1096 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000010\n2\n1 1\n100\n1 2 3 4 5 2 7 10 9 10 11 12 13 14 24 16 17 18 19 20 21 22 23 24 25 26 27 28 29 41 31 32 56 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 60 51 52 53 54 49 56 57 58 59 60 61 62 63 64 129 119 67 68 69 70 71 72 27 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 6910 1096 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000010\n2\n1 1\n100\n1 2 3 4 5 2 7 10 9 10 11 12 13 14 24 16 17 18 19 20 21 22 23 24 25 26 27 28 29 41 31 32 56 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 60 51 52 53 54 49 56 57 58 93 60 61 62 63 64 129 119 67 68 69 70 71 72 27 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 6910 1096 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000010\n2\n1 1\n100\n1 2 3 4 5 2 7 10 9 10 11 12 13 14 24 16 17 33 19 20 21 22 23 24 25 26 27 28 29 41 31 32 56 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 60 51 52 53 54 49 56 57 58 93 60 61 62 63 64 129 119 67 68 69 70 71 72 27 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 6910 1096 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000010\n2\n1 1\n100\n1 2 3 4 5 2 7 10 9 10 11 12 13 14 24 16 17 33 19 20 21 22 23 24 25 26 27 28 29 41 31 32 56 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 60 51 52 53 54 49 56 57 58 93 60 61 62 63 64 129 119 67 68 69 70 71 72 27 74 75 76 77 78 79 80 127 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 6910 1096 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n0000000010\n2\n1 1\n100\n1 2 3 4 5 2 7 10 9 10 11 12 13 14 24 16 17 33 19 20 21 22 23 24 25 26 27 28 29 41 31 32 56 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 60 51 52 53 54 49 56 57 58 93 60 61 62 63 64 129 119 67 68 69 70 71 72 27 74 75 76 77 78 79 80 127 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 6910 1096 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n0000000010\n2\n1 1\n100\n1 2 3 4 5 2 7 10 9 14 11 12 13 14 24 16 17 33 19 20 21 22 23 24 25 26 27 28 29 41 31 32 56 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 60 51 52 53 54 49 56 57 58 93 60 61 62 63 64 129 119 67 68 69 70 71 72 27 74 75 76 77 78 79 80 127 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 6910 1096 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n0000000010\n2\n1 1\n100\n1 2 3 4 5 2 7 10 9 14 11 12 13 14 24 16 17 33 19 20 21 22 23 24 25 26 27 28 29 41 31 32 56 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 60 25 52 53 54 49 56 57 58 93 60 61 62 63 64 129 119 67 68 69 70 71 72 27 74 75 76 77 78 79 80 127 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 6910 1096 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n0000000010\n2\n1 1\n100\n1 2 3 4 5 2 7 10 9 14 11 12 13 14 24 16 17 33 19 20 21 22 23 24 25 26 27 28 29 41 31 32 56 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 60 25 52 53 54 49 56 57 58 93 60 61 62 63 64 129 119 67 68 69 70 71 72 27 74 75 76 77 78 79 80 127 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 131 98 99 100\n",
"4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 6910 1096 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n0000000010\n2\n1 1\n100\n1 2 3 4 5 2 7 10 9 14 11 12 13 14 24 16 17 33 19 20 21 22 23 24 25 26 27 28 29 41 31 32 56 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 60 25 52 53 54 49 56 57 58 93 60 61 62 63 64 129 119 91 68 69 70 71 72 27 74 75 76 77 78 79 80 127 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 131 98 99 100\n",
"4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 6910 1096 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n0000000010\n2\n1 1\n100\n1 2 3 4 5 2 7 10 9 14 11 12 13 14 24 16 17 33 19 20 21 22 23 24 25 26 27 28 29 41 31 32 56 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 60 25 52 53 54 49 56 57 58 93 60 61 62 63 64 129 119 91 68 69 70 71 72 27 74 75 95 77 78 79 80 127 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 131 98 99 100\n",
"4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 6910 1096 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n0000000010\n2\n1 1\n100\n1 2 3 4 5 2 7 10 9 14 11 12 13 14 24 16 17 33 19 20 21 22 23 24 25 26 45 28 29 41 31 32 56 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 60 25 52 53 54 49 56 57 58 93 60 61 62 63 64 129 119 91 68 69 70 71 72 27 74 75 95 77 78 79 80 127 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 131 98 99 100\n",
"4\n23\n3198 4895 1585 3881 2650 2366 876 2731 1052 126 2152 3621 2169 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000000\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 25 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100\n",
"4\n23\n3198 4895 1585 3881 2650 2366 876 2731 1052 126 2152 3621 2169 4103 1074 2594 2897 3983 3830 3460 729 576 6244\n1\n1000000000\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n4\n5 3 4 6\n7\n1 4 2 1 6 4 9\n5\n5 4 6 2 1\n1\n9\n",
"4\n23\n3198 4895 1585 3881 2650 2366 876 2731 1052 126 2152 3621 2169 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000000\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 25 50 51 52 53 54 55 56 57 58 59 85 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n4\n5 3 4 6\n7\n1 4 2 3 6 4 13\n5\n5 5 6 2 1\n1\n9\n",
"4\n23\n3198 4895 1585 3881 2650 2366 876 2731 1052 126 2152 3621 2169 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000000\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 6 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n23\n3198 4895 1585 3881 2650 2366 876 2731 1971 126 2152 3621 2169 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000000\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 81 46 47 48 25 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n4\n5 3 4 6\n7\n1 0 2 3 6 4 9\n5\n5 5 11 2 1\n1\n11\n",
"4\n23\n3198 4895 1585 3881 2650 2366 876 2731 1971 126 2152 3621 2169 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000000\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 25 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 72 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n4\n5 4 4 6\n7\n1 4 2 3 6 7 9\n5\n5 5 11 2 1\n1\n11\n",
"4\n23\n3198 4895 1585 3881 2650 2366 876 2731 1971 126 2152 3621 2169 4103 588 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000000\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n4\n5 3 4 6\n7\n1 4 0 3 6 7 5\n5\n5 5 11 2 1\n1\n11\n",
"4\n23\n3198 4895 1585 3881 2650 2366 876 2731 1971 126 2152 1370 2169 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000000\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 41 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n4\n5 3 4 6\n7\n1 4 2 3 6 4 5\n5\n5 5 11 3 1\n1\n11\n",
"4\n23\n3198 4895 1585 3881 2650 2366 876 2731 1971 126 2152 3621 2169 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000000\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 41 51 52 53 54 14 56 57 58 59 60 61 62 63 64 65 119 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n23\n3198 4895 1585 3881 2650 2366 876 2731 1971 126 2152 3621 2169 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000000\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 24 16 17 18 19 20 21 22 21 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 41 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 119 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n23\n3198 4895 1585 3881 2650 2366 876 2731 1971 126 2152 3621 2169 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000000\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 24 16 17 18 19 20 21 22 23 24 25 26 27 28 29 41 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 41 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 119 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 159 97 98 99 100\n",
"4\n4\n5 6 5 6\n7\n1 4 2 3 6 4 5\n5\n5 1 11 2 1\n1\n11\n",
"4\n23\n3198 4895 1585 3881 2650 2920 876 2731 1971 126 2152 3621 2169 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000000\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 24 16 17 18 19 20 21 22 23 24 25 26 27 28 29 41 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 41 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 119 67 68 69 70 71 72 17 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n4\n5 6 3 6\n7\n1 4 2 3 4 4 5\n5\n4 1 11 2 1\n1\n11\n",
"4\n23\n3198 4895 1585 3916 2650 2920 876 2731 1971 126 2152 3621 2169 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000000\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 24 16 17 18 19 20 21 22 23 24 25 26 27 28 29 41 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 41 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 119 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 22 93 94 160 96 97 98 99 100\n",
"4\n4\n5 6 3 6\n7\n1 4 2 3 4 4 10\n5\n5 1 8 2 1\n1\n11\n",
"4\n23\n3198 4895 1585 3916 2650 2920 876 2731 1971 126 2152 3621 2169 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000010\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 24 16 17 18 19 20 21 22 23 24 25 26 27 28 29 41 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 41 51 52 53 54 55 56 57 58 59 60 61 62 63 102 65 119 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n23\n3198 4895 1585 3916 2650 2920 876 2731 1971 126 2152 3621 2169 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000010\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 24 16 17 18 19 20 21 22 23 24 25 26 27 28 29 41 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 41 51 52 53 54 49 56 57 58 59 60 61 62 63 64 65 119 67 68 69 70 71 72 73 74 75 76 95 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n4\n6 6 3 1\n7\n1 5 2 3 4 4 5\n5\n5 1 8 2 1\n1\n11\n",
"4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 3621 2169 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000010\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 24 16 17 18 19 20 21 22 23 24 25 26 27 28 29 41 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 41 51 52 53 54 49 56 57 58 59 60 61 62 63 64 65 119 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 17 92 93 94 160 96 97 98 99 100\n",
"4\n4\n6 6 3 11\n7\n1 5 2 3 7 4 5\n5\n5 1 8 2 1\n1\n11\n",
"4\n23\n3198 4895 282 3916 2650 5552 876 2731 1971 126 2152 3621 1096 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000010\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 24 16 17 18 19 20 21 22 23 24 25 26 27 28 29 41 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 41 51 52 53 54 49 56 57 58 59 60 61 62 63 64 65 119 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 3621 1096 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000010\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 24 16 17 18 19 20 21 22 23 24 25 26 27 28 29 41 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 41 51 52 53 54 49 56 57 58 59 60 61 62 63 64 129 42 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n4\n6 6 0 6\n7\n1 1 2 3 5 4 5\n5\n5 1 8 2 1\n1\n11\n",
"4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 3621 1096 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000010\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 24 16 17 18 19 20 21 22 23 24 25 26 27 28 29 41 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 41 51 52 53 54 49 56 57 58 59 60 61 62 63 64 129 119 67 68 69 70 71 72 27 74 75 76 77 78 79 80 81 82 83 84 85 115 87 37 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 3621 1096 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000010\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 24 16 17 18 19 20 21 22 23 24 25 26 27 28 29 41 31 32 56 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 41 51 52 53 54 49 56 57 58 59 60 61 62 88 64 129 119 67 68 69 70 71 72 27 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 3621 1096 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000010\n2\n1 1\n100\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 24 16 17 18 19 20 21 22 23 24 25 26 27 28 29 41 31 32 56 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 60 51 52 53 54 49 56 57 58 59 60 61 62 63 64 129 119 67 68 69 70 71 72 27 74 75 76 77 78 79 80 81 82 83 84 85 161 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 3621 1096 4103 1074 3398 2897 3983 3830 3460 729 576 3281\n1\n1000000010\n2\n1 1\n100\n1 2 3 4 5 6 7 10 9 10 11 12 13 14 24 16 17 18 19 20 21 22 23 24 25 26 27 28 29 41 31 32 56 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 60 51 52 53 54 49 56 57 58 59 60 61 62 63 64 129 119 67 68 69 70 71 72 27 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 6910 1096 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000010\n2\n1 1\n100\n1 2 3 4 5 6 7 10 9 10 11 4 13 14 24 16 17 18 19 20 21 22 23 24 25 26 27 28 29 41 31 32 56 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 60 51 52 53 54 49 56 57 58 59 60 61 62 63 64 129 119 67 68 69 70 71 72 27 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 6910 1096 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000010\n2\n1 1\n100\n1 2 3 4 5 2 7 10 9 10 11 12 13 14 24 16 17 18 19 20 21 22 23 24 25 26 27 28 29 41 31 32 56 34 34 36 37 38 39 40 41 42 43 44 45 46 54 48 25 60 51 52 53 54 49 56 57 58 59 60 61 62 63 64 129 119 67 68 69 70 71 72 27 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 6910 1096 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000010\n2\n1 1\n100\n1 2 3 4 5 2 7 10 9 10 11 12 13 14 24 16 17 18 19 20 21 22 23 24 25 26 27 28 29 41 31 32 56 2 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 60 51 52 53 54 49 56 57 58 93 60 61 62 63 64 129 119 67 68 69 70 71 72 27 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 6910 1096 4103 1074 2594 1503 3983 3830 3460 729 576 3281\n1\n1000000010\n2\n1 1\n100\n1 2 3 4 5 2 7 10 9 10 11 12 13 14 24 16 17 33 19 20 21 22 23 24 25 26 27 28 29 41 31 32 56 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 60 51 52 53 54 49 56 57 58 93 60 61 62 63 64 129 119 67 68 69 70 71 72 27 74 75 76 77 78 79 80 81 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 6910 1096 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n1000000010\n2\n1 1\n100\n1 2 3 4 5 2 7 10 9 10 11 12 13 14 24 16 17 33 19 20 21 22 23 24 25 26 27 28 29 41 31 32 56 34 32 36 37 38 39 40 41 42 43 44 45 46 54 48 25 60 51 52 53 54 49 56 57 58 93 60 61 62 63 64 129 119 67 68 69 70 71 72 27 74 75 76 77 78 79 80 127 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 6910 1096 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n0000000010\n2\n1 1\n100\n1 2 3 4 5 2 7 10 9 10 11 12 13 14 24 16 17 33 19 20 21 22 23 24 25 26 27 28 29 41 42 32 56 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 60 51 52 53 54 49 56 57 58 93 60 61 62 63 64 129 119 67 68 69 70 71 72 27 74 75 76 77 78 79 80 127 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n",
"4\n23\n3198 4895 1585 3916 2650 5552 876 2731 1971 126 2152 6910 1096 4103 1074 2594 2897 3983 3830 3460 729 576 3281\n1\n0000000010\n2\n1 1\n100\n1 2 3 4 5 2 7 10 9 14 11 12 13 14 24 16 17 33 19 20 21 22 23 24 25 26 27 0 29 41 31 32 56 34 35 36 37 38 39 40 41 42 43 44 45 46 54 48 25 60 51 52 53 54 49 56 57 58 93 60 61 62 63 64 129 119 67 68 69 70 71 72 27 74 75 76 77 78 79 80 127 82 83 84 85 115 87 88 144 90 91 92 93 94 160 96 97 98 99 100\n"
],
"output": [
"2\n3\n1\n1\n",
"3\n1\n1\n7\n",
"3\n1\n1\n7\n",
"2\n3\n2\n1\n",
"1\n3\n2\n1\n",
"4\n1\n1\n7\n",
"2\n2\n2\n1\n",
"3\n1\n1\n7\n",
"2\n3\n2\n1\n",
"3\n1\n1\n7\n",
"2\n3\n2\n1\n",
"3\n1\n1\n7\n",
"2\n3\n2\n1\n",
"3\n1\n1\n7\n",
"2\n3\n2\n1\n",
"3\n1\n1\n7\n",
"2\n3\n2\n1\n",
"3\n1\n1\n7\n",
"2\n3\n2\n1\n",
"3\n1\n1\n7\n",
"2\n3\n2\n1\n",
"3\n1\n1\n7\n",
"2\n3\n2\n1\n",
"3\n1\n1\n7\n",
"2\n3\n2\n1\n",
"3\n1\n1\n7\n",
"2\n3\n2\n1\n",
"3\n1\n1\n7\n",
"2\n3\n2\n1\n",
"3\n1\n1\n7\n",
"3\n1\n1\n7\n",
"1\n3\n2\n1\n",
"3\n1\n1\n7\n",
"1\n3\n2\n1\n",
"3\n1\n1\n7\n",
"1\n3\n2\n1\n",
"3\n1\n1\n7\n",
"1\n3\n2\n1\n",
"3\n1\n1\n7\n",
"3\n1\n1\n7\n",
"3\n1\n1\n7\n",
"3\n1\n1\n7\n",
"4\n1\n1\n7\n",
"4\n1\n1\n7\n",
"4\n1\n1\n7\n",
"4\n1\n1\n7\n",
"4\n1\n1\n7\n",
"4\n1\n1\n7\n",
"4\n1\n1\n7\n",
"4\n1\n1\n7\n",
"4\n1\n1\n7\n",
"4\n1\n1\n7\n",
"4\n1\n1\n7\n",
"3\n1\n1\n7\n",
"3\n1\n1\n7\n",
"2\n3\n2\n1\n",
"3\n1\n1\n7\n",
"2\n3\n2\n1\n",
"3\n1\n1\n7\n",
"3\n1\n1\n7\n",
"2\n3\n2\n1\n",
"3\n1\n1\n7\n",
"2\n3\n2\n1\n",
"3\n1\n1\n7\n",
"2\n3\n2\n1\n",
"3\n1\n1\n7\n",
"2\n3\n2\n1\n",
"3\n1\n1\n7\n",
"3\n1\n1\n7\n",
"3\n1\n1\n7\n",
"2\n3\n2\n1\n",
"3\n1\n1\n7\n",
"2\n3\n2\n1\n",
"3\n1\n1\n7\n",
"2\n3\n2\n1\n",
"3\n1\n1\n7\n",
"3\n1\n1\n7\n",
"1\n3\n2\n1\n",
"3\n1\n1\n7\n",
"2\n3\n2\n1\n",
"3\n1\n1\n7\n",
"3\n1\n1\n7\n",
"1\n3\n2\n1\n",
"3\n1\n1\n7\n",
"3\n1\n1\n7\n",
"3\n1\n1\n7\n",
"3\n1\n1\n7\n",
"4\n1\n1\n7\n",
"4\n1\n1\n7\n",
"4\n1\n1\n7\n",
"4\n1\n1\n7\n",
"4\n1\n1\n7\n",
"4\n1\n1\n7\n",
"4\n1\n1\n7\n"
]
} | 2CODEFORCES
|
1370_E. Binary Subsequence Rotation_38207 | Naman has two binary strings s and t of length n (a binary string is a string which only consists of the characters "0" and "1"). He wants to convert s into t using the following operation as few times as possible.
In one operation, he can choose any subsequence of s and rotate it clockwise once.
For example, if s = 1110100, he can choose a subsequence corresponding to indices (1-based) \{2, 6, 7 \} and rotate them clockwise. The resulting string would then be s = 1010110.
A string a is said to be a subsequence of string b if a can be obtained from b by deleting some characters without changing the ordering of the remaining characters.
To perform a clockwise rotation on a sequence c of size k is to perform an operation which sets c_1:=c_k, c_2:=c_1, c_3:=c_2, …, c_k:=c_{k-1} simultaneously.
Determine the minimum number of operations Naman has to perform to convert s into t or say that it is impossible.
Input
The first line contains a single integer n (1 ≤ n ≤ 10^6) — the length of the strings.
The second line contains the binary string s of length n.
The third line contains the binary string t of length n.
Output
If it is impossible to convert s to t after any number of operations, print -1.
Otherwise, print the minimum number of operations required.
Examples
Input
6
010000
000001
Output
1
Input
10
1111100000
0000011111
Output
5
Input
8
10101010
01010101
Output
1
Input
10
1111100000
1111100001
Output
-1
Note
In the first test, Naman can choose the subsequence corresponding to indices \{2, 6\} and rotate it once to convert s into t.
In the second test, he can rotate the subsequence corresponding to all indices 5 times. It can be proved, that it is the minimum required number of operations.
In the last test, it is impossible to convert s into t. | import sys
n=input()
s=raw_input()
t=raw_input()
d1={}
d2={}
for i in s:
d1[i]=d1.get(i,0)+1
for i in t:
d2[i]=d2.get(i,0)+1
if d1!=d2:
print -1
sys.exit()
d=[0]*n
for i in range(n):
if s[i]=='0' and t[i]=='1':
d[i]=-1
if s[i]=='1' and t[i]=='0':
d[i]=1
ct1=0
ct2=0
c=0
for i in d:
if i==-1:
ct1+=1
ct2=max(0,ct2-1)
elif i==1:
ct2+=1
ct1=max(ct1-1,0)
c=max(c,ct1,ct2)
print c
| 1Python2
| {
"input": [
"10\n1111100000\n1111100001\n",
"6\n010000\n000001\n",
"10\n1111100000\n0000011111\n",
"8\n10101010\n01010101\n",
"10\n1010111110\n1011101101\n",
"12\n011001010101\n111001010101\n",
"10\n1100000100\n0010000011\n",
"10\n0111101111\n0111111110\n",
"3\n000\n000\n",
"5\n10100\n01010\n",
"5\n11011\n10111\n",
"9\n111110000\n111100000\n",
"10\n1010011110\n1011101101\n",
"9\n111010000\n111100000\n",
"10\n1010011110\n1001101101\n",
"10\n1111100000\n0010011101\n",
"10\n1111100000\n0011011001\n",
"10\n1100100100\n0010000011\n",
"10\n0111001111\n0111111110\n",
"3\n000\n001\n",
"5\n10100\n01110\n",
"5\n01011\n10111\n",
"6\n010000\n000000\n",
"10\n1111100000\n0000011101\n",
"8\n10101010\n01011101\n",
"10\n0100100100\n0010000011\n",
"3\n100\n000\n",
"5\n10101\n01110\n",
"5\n01011\n00111\n",
"9\n111011000\n111100000\n",
"10\n1010011110\n1001111101\n",
"10\n0100100100\n0010010011\n",
"5\n10101\n00110\n",
"5\n01010\n00111\n",
"10\n1111100000\n0011011101\n",
"10\n1010011110\n1001111100\n",
"10\n0100100110\n0010010011\n",
"5\n01010\n00101\n",
"10\n0010011110\n1001111100\n",
"10\n0100110110\n0010010011\n",
"5\n01010\n10101\n",
"10\n0110011110\n1001111100\n",
"5\n11010\n10101\n",
"10\n0110111110\n1001111100\n",
"5\n11010\n10001\n",
"10\n0110111110\n1001111101\n",
"10\n0110111111\n1001111101\n",
"10\n1010111110\n1011111101\n",
"12\n011101010101\n111001010101\n",
"10\n1100000100\n0010000001\n",
"10\n0111111111\n0111111110\n",
"3\n010\n000\n",
"5\n10100\n00010\n",
"5\n11011\n10011\n",
"9\n111010000\n111100001\n",
"6\n010001\n000001\n",
"10\n1011100000\n0000011111\n",
"8\n10101011\n01010101\n",
"10\n1100100100\n1010000011\n",
"5\n10101\n11110\n",
"9\n111010000\n011100000\n",
"10\n1010011100\n1001101101\n",
"10\n0110100100\n0010000011\n",
"3\n010\n001\n",
"5\n10101\n01100\n",
"5\n11011\n00111\n",
"9\n111011000\n111100001\n",
"10\n1110100000\n0000011101\n",
"5\n10101\n00111\n",
"5\n01010\n00011\n",
"10\n1110011110\n1001111100\n",
"10\n0100100111\n0010010011\n",
"5\n01010\n00001\n",
"10\n0010011110\n1001111000\n",
"10\n0100100110\n0010000011\n",
"10\n0110011110\n1001011100\n",
"5\n11000\n10101\n",
"5\n11010\n10011\n",
"10\n0110101110\n1001111101\n",
"10\n1010111110\n0011111101\n",
"12\n011101010101\n101001010101\n",
"3\n010\n100\n",
"5\n10100\n00110\n",
"6\n010001\n100001\n",
"8\n10001011\n01010101\n",
"10\n1100100100\n1010001011\n",
"9\n111010000\n011101000\n",
"10\n1010111100\n1001101101\n",
"3\n010\n101\n"
],
"output": [
"-1\n",
"1\n",
"5\n",
"1\n",
"2\n",
"-1\n",
"2\n",
"1\n",
"0\n",
"1\n",
"1\n",
"-1\n",
"-1\n",
"1\n",
"2\n",
"4\n",
"3\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"2\n",
"-1\n",
"2\n",
"1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"2\n",
"1\n",
"1\n",
"-1\n",
"-1\n",
"-1\n",
"2\n",
"1\n",
"-1\n",
"-1\n",
"2\n",
"-1\n",
"-1\n",
"1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"2\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"1\n",
"-1\n",
"-1\n",
"2\n",
"4\n",
"1\n",
"1\n",
"-1\n",
"-1\n",
"-1\n",
"2\n",
"-1\n",
"-1\n",
"-1\n",
"1\n",
"-1\n",
"1\n",
"-1\n",
"1\n",
"1\n",
"1\n",
"2\n",
"-1\n",
"1\n",
"1\n",
"-1\n"
]
} | 2CODEFORCES
|
1370_E. Binary Subsequence Rotation_38208 | Naman has two binary strings s and t of length n (a binary string is a string which only consists of the characters "0" and "1"). He wants to convert s into t using the following operation as few times as possible.
In one operation, he can choose any subsequence of s and rotate it clockwise once.
For example, if s = 1110100, he can choose a subsequence corresponding to indices (1-based) \{2, 6, 7 \} and rotate them clockwise. The resulting string would then be s = 1010110.
A string a is said to be a subsequence of string b if a can be obtained from b by deleting some characters without changing the ordering of the remaining characters.
To perform a clockwise rotation on a sequence c of size k is to perform an operation which sets c_1:=c_k, c_2:=c_1, c_3:=c_2, …, c_k:=c_{k-1} simultaneously.
Determine the minimum number of operations Naman has to perform to convert s into t or say that it is impossible.
Input
The first line contains a single integer n (1 ≤ n ≤ 10^6) — the length of the strings.
The second line contains the binary string s of length n.
The third line contains the binary string t of length n.
Output
If it is impossible to convert s to t after any number of operations, print -1.
Otherwise, print the minimum number of operations required.
Examples
Input
6
010000
000001
Output
1
Input
10
1111100000
0000011111
Output
5
Input
8
10101010
01010101
Output
1
Input
10
1111100000
1111100001
Output
-1
Note
In the first test, Naman can choose the subsequence corresponding to indices \{2, 6\} and rotate it once to convert s into t.
In the second test, he can rotate the subsequence corresponding to all indices 5 times. It can be proved, that it is the minimum required number of operations.
In the last test, it is impossible to convert s into t. | #include <bits/stdc++.h>
using namespace std;
const int maxn = 1e6 + 7;
string s[2];
int a[maxn];
int n;
int main() {
cin >> n;
cin >> s[0] >> s[1];
for (int i = 1; i <= n; ++i) {
a[i] = a[i - 1];
if (s[0][i - 1] == '1' && s[1][i - 1] == '0') a[i]++;
if (s[0][i - 1] == '0' && s[1][i - 1] == '1') a[i]--;
}
int mx = 0, mn = 0;
for (int i = 1; i <= n; ++i) mx = max(mx, a[i]), mn = min(mn, a[i]);
if (a[n] == 0)
cout << mx - mn;
else
cout << -1;
}
| 2C++
| {
"input": [
"10\n1111100000\n1111100001\n",
"6\n010000\n000001\n",
"10\n1111100000\n0000011111\n",
"8\n10101010\n01010101\n",
"10\n1010111110\n1011101101\n",
"12\n011001010101\n111001010101\n",
"10\n1100000100\n0010000011\n",
"10\n0111101111\n0111111110\n",
"3\n000\n000\n",
"5\n10100\n01010\n",
"5\n11011\n10111\n",
"9\n111110000\n111100000\n",
"10\n1010011110\n1011101101\n",
"9\n111010000\n111100000\n",
"10\n1010011110\n1001101101\n",
"10\n1111100000\n0010011101\n",
"10\n1111100000\n0011011001\n",
"10\n1100100100\n0010000011\n",
"10\n0111001111\n0111111110\n",
"3\n000\n001\n",
"5\n10100\n01110\n",
"5\n01011\n10111\n",
"6\n010000\n000000\n",
"10\n1111100000\n0000011101\n",
"8\n10101010\n01011101\n",
"10\n0100100100\n0010000011\n",
"3\n100\n000\n",
"5\n10101\n01110\n",
"5\n01011\n00111\n",
"9\n111011000\n111100000\n",
"10\n1010011110\n1001111101\n",
"10\n0100100100\n0010010011\n",
"5\n10101\n00110\n",
"5\n01010\n00111\n",
"10\n1111100000\n0011011101\n",
"10\n1010011110\n1001111100\n",
"10\n0100100110\n0010010011\n",
"5\n01010\n00101\n",
"10\n0010011110\n1001111100\n",
"10\n0100110110\n0010010011\n",
"5\n01010\n10101\n",
"10\n0110011110\n1001111100\n",
"5\n11010\n10101\n",
"10\n0110111110\n1001111100\n",
"5\n11010\n10001\n",
"10\n0110111110\n1001111101\n",
"10\n0110111111\n1001111101\n",
"10\n1010111110\n1011111101\n",
"12\n011101010101\n111001010101\n",
"10\n1100000100\n0010000001\n",
"10\n0111111111\n0111111110\n",
"3\n010\n000\n",
"5\n10100\n00010\n",
"5\n11011\n10011\n",
"9\n111010000\n111100001\n",
"6\n010001\n000001\n",
"10\n1011100000\n0000011111\n",
"8\n10101011\n01010101\n",
"10\n1100100100\n1010000011\n",
"5\n10101\n11110\n",
"9\n111010000\n011100000\n",
"10\n1010011100\n1001101101\n",
"10\n0110100100\n0010000011\n",
"3\n010\n001\n",
"5\n10101\n01100\n",
"5\n11011\n00111\n",
"9\n111011000\n111100001\n",
"10\n1110100000\n0000011101\n",
"5\n10101\n00111\n",
"5\n01010\n00011\n",
"10\n1110011110\n1001111100\n",
"10\n0100100111\n0010010011\n",
"5\n01010\n00001\n",
"10\n0010011110\n1001111000\n",
"10\n0100100110\n0010000011\n",
"10\n0110011110\n1001011100\n",
"5\n11000\n10101\n",
"5\n11010\n10011\n",
"10\n0110101110\n1001111101\n",
"10\n1010111110\n0011111101\n",
"12\n011101010101\n101001010101\n",
"3\n010\n100\n",
"5\n10100\n00110\n",
"6\n010001\n100001\n",
"8\n10001011\n01010101\n",
"10\n1100100100\n1010001011\n",
"9\n111010000\n011101000\n",
"10\n1010111100\n1001101101\n",
"3\n010\n101\n"
],
"output": [
"-1\n",
"1\n",
"5\n",
"1\n",
"2\n",
"-1\n",
"2\n",
"1\n",
"0\n",
"1\n",
"1\n",
"-1\n",
"-1\n",
"1\n",
"2\n",
"4\n",
"3\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"2\n",
"-1\n",
"2\n",
"1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"2\n",
"1\n",
"1\n",
"-1\n",
"-1\n",
"-1\n",
"2\n",
"1\n",
"-1\n",
"-1\n",
"2\n",
"-1\n",
"-1\n",
"1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"2\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"1\n",
"-1\n",
"-1\n",
"2\n",
"4\n",
"1\n",
"1\n",
"-1\n",
"-1\n",
"-1\n",
"2\n",
"-1\n",
"-1\n",
"-1\n",
"1\n",
"-1\n",
"1\n",
"-1\n",
"1\n",
"1\n",
"1\n",
"2\n",
"-1\n",
"1\n",
"1\n",
"-1\n"
]
} | 2CODEFORCES
|
1370_E. Binary Subsequence Rotation_38209 | Naman has two binary strings s and t of length n (a binary string is a string which only consists of the characters "0" and "1"). He wants to convert s into t using the following operation as few times as possible.
In one operation, he can choose any subsequence of s and rotate it clockwise once.
For example, if s = 1110100, he can choose a subsequence corresponding to indices (1-based) \{2, 6, 7 \} and rotate them clockwise. The resulting string would then be s = 1010110.
A string a is said to be a subsequence of string b if a can be obtained from b by deleting some characters without changing the ordering of the remaining characters.
To perform a clockwise rotation on a sequence c of size k is to perform an operation which sets c_1:=c_k, c_2:=c_1, c_3:=c_2, …, c_k:=c_{k-1} simultaneously.
Determine the minimum number of operations Naman has to perform to convert s into t or say that it is impossible.
Input
The first line contains a single integer n (1 ≤ n ≤ 10^6) — the length of the strings.
The second line contains the binary string s of length n.
The third line contains the binary string t of length n.
Output
If it is impossible to convert s to t after any number of operations, print -1.
Otherwise, print the minimum number of operations required.
Examples
Input
6
010000
000001
Output
1
Input
10
1111100000
0000011111
Output
5
Input
8
10101010
01010101
Output
1
Input
10
1111100000
1111100001
Output
-1
Note
In the first test, Naman can choose the subsequence corresponding to indices \{2, 6\} and rotate it once to convert s into t.
In the second test, he can rotate the subsequence corresponding to all indices 5 times. It can be proved, that it is the minimum required number of operations.
In the last test, it is impossible to convert s into t. | # -*- coding: utf-8 -*-
"""
@author: Saurav Sihag
"""
rr = lambda: input().strip()
# rri = lambda: int(rr())
rri = lambda: int(stdin.readline())
rrm = lambda: [int(x) for x in rr().split()]
# stdout.write(str()+'\n')
from sys import stdin, stdout
def sol():
n=rri()
s=rr()
t=rr()
cnt=0
mn=0
mx=0
for i in range(n):
if (s[i]=='1'):
cnt+=1
if (t[i]=='1'):
cnt-=1
mn=min(mn, cnt)
mx=max(mx, cnt)
if cnt!=0:
print(-1)
else:
print(mx-mn)
return
sol()
# T = rri()
# for t in range(1, T + 1):
# ans = sol()
# print("Case #{}: {}".format(t, ans))
| 3Python3
| {
"input": [
"10\n1111100000\n1111100001\n",
"6\n010000\n000001\n",
"10\n1111100000\n0000011111\n",
"8\n10101010\n01010101\n",
"10\n1010111110\n1011101101\n",
"12\n011001010101\n111001010101\n",
"10\n1100000100\n0010000011\n",
"10\n0111101111\n0111111110\n",
"3\n000\n000\n",
"5\n10100\n01010\n",
"5\n11011\n10111\n",
"9\n111110000\n111100000\n",
"10\n1010011110\n1011101101\n",
"9\n111010000\n111100000\n",
"10\n1010011110\n1001101101\n",
"10\n1111100000\n0010011101\n",
"10\n1111100000\n0011011001\n",
"10\n1100100100\n0010000011\n",
"10\n0111001111\n0111111110\n",
"3\n000\n001\n",
"5\n10100\n01110\n",
"5\n01011\n10111\n",
"6\n010000\n000000\n",
"10\n1111100000\n0000011101\n",
"8\n10101010\n01011101\n",
"10\n0100100100\n0010000011\n",
"3\n100\n000\n",
"5\n10101\n01110\n",
"5\n01011\n00111\n",
"9\n111011000\n111100000\n",
"10\n1010011110\n1001111101\n",
"10\n0100100100\n0010010011\n",
"5\n10101\n00110\n",
"5\n01010\n00111\n",
"10\n1111100000\n0011011101\n",
"10\n1010011110\n1001111100\n",
"10\n0100100110\n0010010011\n",
"5\n01010\n00101\n",
"10\n0010011110\n1001111100\n",
"10\n0100110110\n0010010011\n",
"5\n01010\n10101\n",
"10\n0110011110\n1001111100\n",
"5\n11010\n10101\n",
"10\n0110111110\n1001111100\n",
"5\n11010\n10001\n",
"10\n0110111110\n1001111101\n",
"10\n0110111111\n1001111101\n",
"10\n1010111110\n1011111101\n",
"12\n011101010101\n111001010101\n",
"10\n1100000100\n0010000001\n",
"10\n0111111111\n0111111110\n",
"3\n010\n000\n",
"5\n10100\n00010\n",
"5\n11011\n10011\n",
"9\n111010000\n111100001\n",
"6\n010001\n000001\n",
"10\n1011100000\n0000011111\n",
"8\n10101011\n01010101\n",
"10\n1100100100\n1010000011\n",
"5\n10101\n11110\n",
"9\n111010000\n011100000\n",
"10\n1010011100\n1001101101\n",
"10\n0110100100\n0010000011\n",
"3\n010\n001\n",
"5\n10101\n01100\n",
"5\n11011\n00111\n",
"9\n111011000\n111100001\n",
"10\n1110100000\n0000011101\n",
"5\n10101\n00111\n",
"5\n01010\n00011\n",
"10\n1110011110\n1001111100\n",
"10\n0100100111\n0010010011\n",
"5\n01010\n00001\n",
"10\n0010011110\n1001111000\n",
"10\n0100100110\n0010000011\n",
"10\n0110011110\n1001011100\n",
"5\n11000\n10101\n",
"5\n11010\n10011\n",
"10\n0110101110\n1001111101\n",
"10\n1010111110\n0011111101\n",
"12\n011101010101\n101001010101\n",
"3\n010\n100\n",
"5\n10100\n00110\n",
"6\n010001\n100001\n",
"8\n10001011\n01010101\n",
"10\n1100100100\n1010001011\n",
"9\n111010000\n011101000\n",
"10\n1010111100\n1001101101\n",
"3\n010\n101\n"
],
"output": [
"-1\n",
"1\n",
"5\n",
"1\n",
"2\n",
"-1\n",
"2\n",
"1\n",
"0\n",
"1\n",
"1\n",
"-1\n",
"-1\n",
"1\n",
"2\n",
"4\n",
"3\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"2\n",
"-1\n",
"2\n",
"1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"2\n",
"1\n",
"1\n",
"-1\n",
"-1\n",
"-1\n",
"2\n",
"1\n",
"-1\n",
"-1\n",
"2\n",
"-1\n",
"-1\n",
"1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"2\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"1\n",
"-1\n",
"-1\n",
"2\n",
"4\n",
"1\n",
"1\n",
"-1\n",
"-1\n",
"-1\n",
"2\n",
"-1\n",
"-1\n",
"-1\n",
"1\n",
"-1\n",
"1\n",
"-1\n",
"1\n",
"1\n",
"1\n",
"2\n",
"-1\n",
"1\n",
"1\n",
"-1\n"
]
} | 2CODEFORCES
|
1370_E. Binary Subsequence Rotation_38210 | Naman has two binary strings s and t of length n (a binary string is a string which only consists of the characters "0" and "1"). He wants to convert s into t using the following operation as few times as possible.
In one operation, he can choose any subsequence of s and rotate it clockwise once.
For example, if s = 1110100, he can choose a subsequence corresponding to indices (1-based) \{2, 6, 7 \} and rotate them clockwise. The resulting string would then be s = 1010110.
A string a is said to be a subsequence of string b if a can be obtained from b by deleting some characters without changing the ordering of the remaining characters.
To perform a clockwise rotation on a sequence c of size k is to perform an operation which sets c_1:=c_k, c_2:=c_1, c_3:=c_2, …, c_k:=c_{k-1} simultaneously.
Determine the minimum number of operations Naman has to perform to convert s into t or say that it is impossible.
Input
The first line contains a single integer n (1 ≤ n ≤ 10^6) — the length of the strings.
The second line contains the binary string s of length n.
The third line contains the binary string t of length n.
Output
If it is impossible to convert s to t after any number of operations, print -1.
Otherwise, print the minimum number of operations required.
Examples
Input
6
010000
000001
Output
1
Input
10
1111100000
0000011111
Output
5
Input
8
10101010
01010101
Output
1
Input
10
1111100000
1111100001
Output
-1
Note
In the first test, Naman can choose the subsequence corresponding to indices \{2, 6\} and rotate it once to convert s into t.
In the second test, he can rotate the subsequence corresponding to all indices 5 times. It can be proved, that it is the minimum required number of operations.
In the last test, it is impossible to convert s into t. | import java.io.*;
import java.util.*;
import java.util.stream.*;
import static java.util.stream.Collectors.*;
public class Main {
void solve() {
int n = in.nextInt();
String a = in.nextLine();
String b = in.nextLine();
List<Boolean> list = new ArrayList<>();
for (int i = 0; i < n; i++) {
if (a.charAt(i) != b.charAt(i)) {
list.add(a.charAt(i) == '1');
}
}
int evenOdd = 0;
for (Boolean el : list) {
if (el) evenOdd++;
else evenOdd--;
}
if (evenOdd != 0) {
out.println(-1);
return;
}
if (list.isEmpty()) {
out.println(0);
return;
}
List<Boolean> list2 = new ArrayList<>(list);
list2.addAll(list);
List<Integer> list3 = new ArrayList<>();
list3.add(list2.get(0) ? 1 : -1);
for (int i = 1; i < list2.size(); i++) {
list3.add(list3.get(i - 1) + (list2.get(i) ? 1 : -1));
}
int min = Integer.MAX_VALUE;
int max = Integer.MIN_VALUE;
for (Integer el : list3) {
min = Math.min(min, el);
max = Math.max(max, el);
}
out.println(max - min);
}
static final boolean MULTI_TEST = false;
// --------------------------------------------------------------------------------------------------------------
// --------------------------------------------------HELPER------------------------------------------------------
// --------------------------------------------------------------------------------------------------------------
void solve2() {
// init();
if (MULTI_TEST) {
int t = in.nextInt();
for (int i = 0; i < t; i++) {
solve();
}
} else {
solve();
}
}
// --------------------ALGORITHM-------------------------
public void sort(int[] arr) {
List<Integer> tmp = Arrays.stream(arr).boxed().sorted().collect(Collectors.toList());
for (int i = 0; i < arr.length; i++) {
arr[i] = tmp.get(i);
}
}
// --------------------SCANNER-------------------------
public static class MyScanner {
BufferedReader br;
StringTokenizer st;
public MyScanner(boolean debug) {
if (debug) {
try {
br = new BufferedReader(new FileReader("input.txt"));
} catch (FileNotFoundException e) {
throw new RuntimeException(e);
}
} else {
br = new BufferedReader(new InputStreamReader(System.in));
}
}
String next() {
while (st == null || !st.hasMoreElements()) {
st = new StringTokenizer(nextLine());
}
return st.nextToken();
}
int nextInt() {
return Integer.parseInt(next());
}
int[] nextInts(int n) {
int[] arr = new int[n];
for (int i = 0; i < n; i++) {
arr[i] = nextInt();
}
return arr;
}
long nextLong() {
return Long.parseLong(next());
}
public long[] nextLongs(int n) {
long[] arr = new long[n];
for (int i = 0; i < n; i++) {
arr[i] = nextLong();
}
return arr;
}
double nextDouble() {
return Double.parseDouble(next());
}
String nextLine() {
try {
String line = br.readLine();
if (line == null) {
throw new RuntimeException("empty line");
}
return line;
} catch (IOException e) {
throw new RuntimeException(e);
}
}
}
// --------------------WRITER-------------------------
public static class MyWriter extends PrintWriter {
public MyWriter(OutputStream out) {
super(out);
}
void println(int[] arr) {
String line = Arrays.stream(arr).mapToObj(String::valueOf).collect(joining(" "));
println(line);
}
}
// --------------------MAIN-------------------------
public MyScanner in;
public MyWriter out;
public static void main(String[] args) {
Main m = new Main();
m.in = new MyScanner(args.length > 0);
m.out = new MyWriter(new BufferedOutputStream(System.out));
m.solve2();
m.out.close();
}
}
| 4JAVA
| {
"input": [
"10\n1111100000\n1111100001\n",
"6\n010000\n000001\n",
"10\n1111100000\n0000011111\n",
"8\n10101010\n01010101\n",
"10\n1010111110\n1011101101\n",
"12\n011001010101\n111001010101\n",
"10\n1100000100\n0010000011\n",
"10\n0111101111\n0111111110\n",
"3\n000\n000\n",
"5\n10100\n01010\n",
"5\n11011\n10111\n",
"9\n111110000\n111100000\n",
"10\n1010011110\n1011101101\n",
"9\n111010000\n111100000\n",
"10\n1010011110\n1001101101\n",
"10\n1111100000\n0010011101\n",
"10\n1111100000\n0011011001\n",
"10\n1100100100\n0010000011\n",
"10\n0111001111\n0111111110\n",
"3\n000\n001\n",
"5\n10100\n01110\n",
"5\n01011\n10111\n",
"6\n010000\n000000\n",
"10\n1111100000\n0000011101\n",
"8\n10101010\n01011101\n",
"10\n0100100100\n0010000011\n",
"3\n100\n000\n",
"5\n10101\n01110\n",
"5\n01011\n00111\n",
"9\n111011000\n111100000\n",
"10\n1010011110\n1001111101\n",
"10\n0100100100\n0010010011\n",
"5\n10101\n00110\n",
"5\n01010\n00111\n",
"10\n1111100000\n0011011101\n",
"10\n1010011110\n1001111100\n",
"10\n0100100110\n0010010011\n",
"5\n01010\n00101\n",
"10\n0010011110\n1001111100\n",
"10\n0100110110\n0010010011\n",
"5\n01010\n10101\n",
"10\n0110011110\n1001111100\n",
"5\n11010\n10101\n",
"10\n0110111110\n1001111100\n",
"5\n11010\n10001\n",
"10\n0110111110\n1001111101\n",
"10\n0110111111\n1001111101\n",
"10\n1010111110\n1011111101\n",
"12\n011101010101\n111001010101\n",
"10\n1100000100\n0010000001\n",
"10\n0111111111\n0111111110\n",
"3\n010\n000\n",
"5\n10100\n00010\n",
"5\n11011\n10011\n",
"9\n111010000\n111100001\n",
"6\n010001\n000001\n",
"10\n1011100000\n0000011111\n",
"8\n10101011\n01010101\n",
"10\n1100100100\n1010000011\n",
"5\n10101\n11110\n",
"9\n111010000\n011100000\n",
"10\n1010011100\n1001101101\n",
"10\n0110100100\n0010000011\n",
"3\n010\n001\n",
"5\n10101\n01100\n",
"5\n11011\n00111\n",
"9\n111011000\n111100001\n",
"10\n1110100000\n0000011101\n",
"5\n10101\n00111\n",
"5\n01010\n00011\n",
"10\n1110011110\n1001111100\n",
"10\n0100100111\n0010010011\n",
"5\n01010\n00001\n",
"10\n0010011110\n1001111000\n",
"10\n0100100110\n0010000011\n",
"10\n0110011110\n1001011100\n",
"5\n11000\n10101\n",
"5\n11010\n10011\n",
"10\n0110101110\n1001111101\n",
"10\n1010111110\n0011111101\n",
"12\n011101010101\n101001010101\n",
"3\n010\n100\n",
"5\n10100\n00110\n",
"6\n010001\n100001\n",
"8\n10001011\n01010101\n",
"10\n1100100100\n1010001011\n",
"9\n111010000\n011101000\n",
"10\n1010111100\n1001101101\n",
"3\n010\n101\n"
],
"output": [
"-1\n",
"1\n",
"5\n",
"1\n",
"2\n",
"-1\n",
"2\n",
"1\n",
"0\n",
"1\n",
"1\n",
"-1\n",
"-1\n",
"1\n",
"2\n",
"4\n",
"3\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"2\n",
"-1\n",
"2\n",
"1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"2\n",
"1\n",
"1\n",
"-1\n",
"-1\n",
"-1\n",
"2\n",
"1\n",
"-1\n",
"-1\n",
"2\n",
"-1\n",
"-1\n",
"1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"2\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"1\n",
"-1\n",
"-1\n",
"2\n",
"4\n",
"1\n",
"1\n",
"-1\n",
"-1\n",
"-1\n",
"2\n",
"-1\n",
"-1\n",
"-1\n",
"1\n",
"-1\n",
"1\n",
"-1\n",
"1\n",
"1\n",
"1\n",
"2\n",
"-1\n",
"1\n",
"1\n",
"-1\n"
]
} | 2CODEFORCES
|
1393_A. Rainbow Dash, Fluttershy and Chess Coloring_38211 | One evening Rainbow Dash and Fluttershy have come up with a game. Since the ponies are friends, they have decided not to compete in the game but to pursue a common goal.
The game starts on a square flat grid, which initially has the outline borders built up. Rainbow Dash and Fluttershy have flat square blocks with size 1×1, Rainbow Dash has an infinite amount of light blue blocks, Fluttershy has an infinite amount of yellow blocks.
The blocks are placed according to the following rule: each newly placed block must touch the built on the previous turns figure by a side (note that the outline borders of the grid are built initially). At each turn, one pony can place any number of blocks of her color according to the game rules.
Rainbow and Fluttershy have found out that they can build patterns on the grid of the game that way. They have decided to start with something simple, so they made up their mind to place the blocks to form a chess coloring. Rainbow Dash is well-known for her speed, so she is interested in the minimum number of turns she and Fluttershy need to do to get a chess coloring, covering the whole grid with blocks. Please help her find that number!
Since the ponies can play many times on different boards, Rainbow Dash asks you to find the minimum numbers of turns for several grids of the games.
The chess coloring in two colors is the one in which each square is neighbor by side only with squares of different colors.
Input
The first line contains a single integer T (1 ≤ T ≤ 100): the number of grids of the games.
Each of the next T lines contains a single integer n (1 ≤ n ≤ 10^9): the size of the side of the grid of the game.
Output
For each grid of the game print the minimum number of turns required to build a chess coloring pattern out of blocks on it.
Example
Input
2
3
4
Output
2
3
Note
For 3×3 grid ponies can make two following moves: <image> | # Author: yumtam
# Created at: 2020-09-10 11:35
from __future__ import division, print_function
_interactive = False
def main():
for _ in range(int(input())):
n = int(input())
print((n+2)//2)
# Constants
INF = float('inf')
MOD = 10**9+7
# Python3 equivalent names
import os, sys, itertools
if sys.version_info[0] < 3:
input = raw_input
range = xrange
filter = itertools.ifilter
map = itertools.imap
zip = itertools.izip
# print-flush in interactive problems
if _interactive:
flush = sys.stdout.flush
def printf(*args, **kwargs):
print(*args, **kwargs)
flush()
# Debug print, only works on local machine
LOCAL = "LOCAL_" in os.environ
debug_print = (print) if LOCAL else (lambda *x, **y: None)
# Fast IO
if (not LOCAL) and (not _interactive):
from io import BytesIO
from atexit import register
sys.stdin = BytesIO(os.read(0, os.fstat(0).st_size))
sys.stdout = BytesIO()
register(lambda: os.write(1, sys.stdout.getvalue()))
input = lambda: sys.stdin.readline().rstrip('\r\n')
# Some utility functions(Input, N-dimensional lists, ...)
def input_as_list():
return [int(x) for x in input().split()]
def input_with_offset(o):
return [int(x)+o for x in input().split()]
def input_as_matrix(n, m):
return [input_as_list() for _ in range(n)]
def array_of(f, *dim):
return [array_of(f, *dim[1:]) for _ in range(dim[0])] if dim else f()
# Start of external code templates...
# End of external code templates.
main()
| 1Python2
| {
"input": [
"2\n3\n4\n",
"1\n10000001\n",
"1\n69\n",
"1\n10001001\n",
"1\n70\n",
"2\n2\n4\n",
"1\n11001001\n",
"1\n29\n",
"1\n11011001\n",
"1\n30\n",
"1\n01001001\n",
"1\n25\n",
"1\n19\n",
"1\n00001000\n",
"1\n00001100\n",
"1\n13\n",
"1\n00001110\n",
"1\n8\n",
"1\n01001110\n",
"1\n5\n",
"1\n01001100\n",
"1\n11001100\n",
"1\n11000101\n",
"1\n10000101\n",
"1\n10010100\n",
"1\n10010110\n",
"1\n10110110\n",
"1\n10111110\n",
"1\n00111110\n",
"1\n00011110\n",
"1\n00010111\n",
"1\n00000111\n",
"1\n00000101\n",
"1\n00100101\n",
"1\n01100101\n",
"1\n01110101\n",
"1\n01010101\n",
"1\n01011101\n",
"1\n00110101\n",
"1\n00101101\n",
"1\n00111101\n",
"1\n00101111\n",
"1\n10101110\n",
"1\n10100110\n",
"1\n01101110\n",
"1\n01011111\n",
"1\n01111111\n",
"1\n01111101\n",
"1\n01110111\n",
"1\n01110011\n",
"1\n01100011\n",
"1\n01010011\n",
"1\n01010001\n",
"1\n01011001\n",
"1\n00011001\n",
"1\n00011011\n",
"1\n10011011\n",
"1\n10010011\n",
"1\n10111011\n",
"1\n00110111\n",
"1\n10011110\n",
"1\n10101100\n",
"1\n01101100\n",
"1\n01000110\n",
"1\n11000110\n",
"1\n11001110\n",
"1\n01001010\n",
"1\n01000000\n",
"1\n01100000\n",
"1\n01000010\n",
"1\n01110000\n",
"1\n11110000\n",
"1\n11111000\n",
"1\n10111000\n",
"1\n10101000\n",
"1\n10100000\n",
"1\n10000000\n",
"1\n11000000\n",
"1\n01000101\n",
"1\n00000011\n",
"1\n01001000\n",
"1\n24\n",
"1\n11001101\n",
"1\n10000100\n",
"1\n00011111\n",
"1\n00101110\n",
"1\n01001111\n",
"1\n10111111\n",
"1\n10110111\n",
"1\n00010110\n",
"1\n00101100\n",
"1\n01100010\n",
"1\n11000100\n",
"1\n11000001\n",
"1\n01000001\n",
"1\n01000111\n",
"1\n01000011\n"
],
"output": [
"2\n3\n",
"5000001\n",
"35\n",
"5000501\n",
"36\n",
"2\n3\n",
"5500501\n",
"15\n",
"5505501\n",
"16\n",
"500501\n",
"13\n",
"10\n",
"501\n",
"551\n",
"7\n",
"556\n",
"5\n",
"500556\n",
"3\n",
"500551\n",
"5500551\n",
"5500051\n",
"5000051\n",
"5005051\n",
"5005056\n",
"5055056\n",
"5055556\n",
"55556\n",
"5556\n",
"5056\n",
"56\n",
"51\n",
"50051\n",
"550051\n",
"555051\n",
"505051\n",
"505551\n",
"55051\n",
"50551\n",
"55551\n",
"50556\n",
"5050556\n",
"5050056\n",
"550556\n",
"505556\n",
"555556\n",
"555551\n",
"555056\n",
"555006\n",
"550006\n",
"505006\n",
"505001\n",
"505501\n",
"5501\n",
"5506\n",
"5005506\n",
"5005006\n",
"5055506\n",
"55056\n",
"5005556\n",
"5050551\n",
"550551\n",
"500056\n",
"5500056\n",
"5500556\n",
"500506\n",
"500001\n",
"550001\n",
"500006\n",
"555001\n",
"5555001\n",
"5555501\n",
"5055501\n",
"5050501\n",
"5050001\n",
"5000001\n",
"5500001\n",
"500051\n",
"6\n",
"500501\n",
"13\n",
"5500551\n",
"5000051\n",
"5556\n",
"50556\n",
"500556\n",
"5055556\n",
"5055056\n",
"5056\n",
"50551\n",
"550006\n",
"5500051\n",
"5500001\n",
"500001\n",
"500056\n",
"500006\n"
]
} | 2CODEFORCES
|
1393_A. Rainbow Dash, Fluttershy and Chess Coloring_38212 | One evening Rainbow Dash and Fluttershy have come up with a game. Since the ponies are friends, they have decided not to compete in the game but to pursue a common goal.
The game starts on a square flat grid, which initially has the outline borders built up. Rainbow Dash and Fluttershy have flat square blocks with size 1×1, Rainbow Dash has an infinite amount of light blue blocks, Fluttershy has an infinite amount of yellow blocks.
The blocks are placed according to the following rule: each newly placed block must touch the built on the previous turns figure by a side (note that the outline borders of the grid are built initially). At each turn, one pony can place any number of blocks of her color according to the game rules.
Rainbow and Fluttershy have found out that they can build patterns on the grid of the game that way. They have decided to start with something simple, so they made up their mind to place the blocks to form a chess coloring. Rainbow Dash is well-known for her speed, so she is interested in the minimum number of turns she and Fluttershy need to do to get a chess coloring, covering the whole grid with blocks. Please help her find that number!
Since the ponies can play many times on different boards, Rainbow Dash asks you to find the minimum numbers of turns for several grids of the games.
The chess coloring in two colors is the one in which each square is neighbor by side only with squares of different colors.
Input
The first line contains a single integer T (1 ≤ T ≤ 100): the number of grids of the games.
Each of the next T lines contains a single integer n (1 ≤ n ≤ 10^9): the size of the side of the grid of the game.
Output
For each grid of the game print the minimum number of turns required to build a chess coloring pattern out of blocks on it.
Example
Input
2
3
4
Output
2
3
Note
For 3×3 grid ponies can make two following moves: <image> | #include <bits/stdc++.h>
using namespace std;
long long binpow(long long a, long long b) {
if (b == 0) return 1;
long long res = binpow(a, b / 2);
res *= res;
if (b % 2) return res * a;
return res;
}
long long gcd(long long a, long long b) {
if (b == 0) return a;
return gcd(b, a % b);
}
string to_upper(string a) {
for (int i = 0; i < (int)a.size(); ++i)
if (a[i] >= 'a' && a[i] <= 'z') a[i] -= 'a' - 'A';
return a;
}
string to_lower(string a) {
for (int i = 0; i < (int)a.size(); ++i)
if (a[i] >= 'A' && a[i] <= 'Z') a[i] += 'a' - 'A';
return a;
}
void solve() {
int n;
cin >> n;
cout << n / 2 + 1 << "\n";
}
int main() {
ios_base::sync_with_stdio(0);
cin.tie(0);
int n;
cin >> n;
while (n--) solve();
return 0;
}
| 2C++
| {
"input": [
"2\n3\n4\n",
"1\n10000001\n",
"1\n69\n",
"1\n10001001\n",
"1\n70\n",
"2\n2\n4\n",
"1\n11001001\n",
"1\n29\n",
"1\n11011001\n",
"1\n30\n",
"1\n01001001\n",
"1\n25\n",
"1\n19\n",
"1\n00001000\n",
"1\n00001100\n",
"1\n13\n",
"1\n00001110\n",
"1\n8\n",
"1\n01001110\n",
"1\n5\n",
"1\n01001100\n",
"1\n11001100\n",
"1\n11000101\n",
"1\n10000101\n",
"1\n10010100\n",
"1\n10010110\n",
"1\n10110110\n",
"1\n10111110\n",
"1\n00111110\n",
"1\n00011110\n",
"1\n00010111\n",
"1\n00000111\n",
"1\n00000101\n",
"1\n00100101\n",
"1\n01100101\n",
"1\n01110101\n",
"1\n01010101\n",
"1\n01011101\n",
"1\n00110101\n",
"1\n00101101\n",
"1\n00111101\n",
"1\n00101111\n",
"1\n10101110\n",
"1\n10100110\n",
"1\n01101110\n",
"1\n01011111\n",
"1\n01111111\n",
"1\n01111101\n",
"1\n01110111\n",
"1\n01110011\n",
"1\n01100011\n",
"1\n01010011\n",
"1\n01010001\n",
"1\n01011001\n",
"1\n00011001\n",
"1\n00011011\n",
"1\n10011011\n",
"1\n10010011\n",
"1\n10111011\n",
"1\n00110111\n",
"1\n10011110\n",
"1\n10101100\n",
"1\n01101100\n",
"1\n01000110\n",
"1\n11000110\n",
"1\n11001110\n",
"1\n01001010\n",
"1\n01000000\n",
"1\n01100000\n",
"1\n01000010\n",
"1\n01110000\n",
"1\n11110000\n",
"1\n11111000\n",
"1\n10111000\n",
"1\n10101000\n",
"1\n10100000\n",
"1\n10000000\n",
"1\n11000000\n",
"1\n01000101\n",
"1\n00000011\n",
"1\n01001000\n",
"1\n24\n",
"1\n11001101\n",
"1\n10000100\n",
"1\n00011111\n",
"1\n00101110\n",
"1\n01001111\n",
"1\n10111111\n",
"1\n10110111\n",
"1\n00010110\n",
"1\n00101100\n",
"1\n01100010\n",
"1\n11000100\n",
"1\n11000001\n",
"1\n01000001\n",
"1\n01000111\n",
"1\n01000011\n"
],
"output": [
"2\n3\n",
"5000001\n",
"35\n",
"5000501\n",
"36\n",
"2\n3\n",
"5500501\n",
"15\n",
"5505501\n",
"16\n",
"500501\n",
"13\n",
"10\n",
"501\n",
"551\n",
"7\n",
"556\n",
"5\n",
"500556\n",
"3\n",
"500551\n",
"5500551\n",
"5500051\n",
"5000051\n",
"5005051\n",
"5005056\n",
"5055056\n",
"5055556\n",
"55556\n",
"5556\n",
"5056\n",
"56\n",
"51\n",
"50051\n",
"550051\n",
"555051\n",
"505051\n",
"505551\n",
"55051\n",
"50551\n",
"55551\n",
"50556\n",
"5050556\n",
"5050056\n",
"550556\n",
"505556\n",
"555556\n",
"555551\n",
"555056\n",
"555006\n",
"550006\n",
"505006\n",
"505001\n",
"505501\n",
"5501\n",
"5506\n",
"5005506\n",
"5005006\n",
"5055506\n",
"55056\n",
"5005556\n",
"5050551\n",
"550551\n",
"500056\n",
"5500056\n",
"5500556\n",
"500506\n",
"500001\n",
"550001\n",
"500006\n",
"555001\n",
"5555001\n",
"5555501\n",
"5055501\n",
"5050501\n",
"5050001\n",
"5000001\n",
"5500001\n",
"500051\n",
"6\n",
"500501\n",
"13\n",
"5500551\n",
"5000051\n",
"5556\n",
"50556\n",
"500556\n",
"5055556\n",
"5055056\n",
"5056\n",
"50551\n",
"550006\n",
"5500051\n",
"5500001\n",
"500001\n",
"500056\n",
"500006\n"
]
} | 2CODEFORCES
|
1393_A. Rainbow Dash, Fluttershy and Chess Coloring_38213 | One evening Rainbow Dash and Fluttershy have come up with a game. Since the ponies are friends, they have decided not to compete in the game but to pursue a common goal.
The game starts on a square flat grid, which initially has the outline borders built up. Rainbow Dash and Fluttershy have flat square blocks with size 1×1, Rainbow Dash has an infinite amount of light blue blocks, Fluttershy has an infinite amount of yellow blocks.
The blocks are placed according to the following rule: each newly placed block must touch the built on the previous turns figure by a side (note that the outline borders of the grid are built initially). At each turn, one pony can place any number of blocks of her color according to the game rules.
Rainbow and Fluttershy have found out that they can build patterns on the grid of the game that way. They have decided to start with something simple, so they made up their mind to place the blocks to form a chess coloring. Rainbow Dash is well-known for her speed, so she is interested in the minimum number of turns she and Fluttershy need to do to get a chess coloring, covering the whole grid with blocks. Please help her find that number!
Since the ponies can play many times on different boards, Rainbow Dash asks you to find the minimum numbers of turns for several grids of the games.
The chess coloring in two colors is the one in which each square is neighbor by side only with squares of different colors.
Input
The first line contains a single integer T (1 ≤ T ≤ 100): the number of grids of the games.
Each of the next T lines contains a single integer n (1 ≤ n ≤ 10^9): the size of the side of the grid of the game.
Output
For each grid of the game print the minimum number of turns required to build a chess coloring pattern out of blocks on it.
Example
Input
2
3
4
Output
2
3
Note
For 3×3 grid ponies can make two following moves: <image> | for i in range(int(input())):
n = int(input())
res = int(n/2)+1
print(res) | 3Python3
| {
"input": [
"2\n3\n4\n",
"1\n10000001\n",
"1\n69\n",
"1\n10001001\n",
"1\n70\n",
"2\n2\n4\n",
"1\n11001001\n",
"1\n29\n",
"1\n11011001\n",
"1\n30\n",
"1\n01001001\n",
"1\n25\n",
"1\n19\n",
"1\n00001000\n",
"1\n00001100\n",
"1\n13\n",
"1\n00001110\n",
"1\n8\n",
"1\n01001110\n",
"1\n5\n",
"1\n01001100\n",
"1\n11001100\n",
"1\n11000101\n",
"1\n10000101\n",
"1\n10010100\n",
"1\n10010110\n",
"1\n10110110\n",
"1\n10111110\n",
"1\n00111110\n",
"1\n00011110\n",
"1\n00010111\n",
"1\n00000111\n",
"1\n00000101\n",
"1\n00100101\n",
"1\n01100101\n",
"1\n01110101\n",
"1\n01010101\n",
"1\n01011101\n",
"1\n00110101\n",
"1\n00101101\n",
"1\n00111101\n",
"1\n00101111\n",
"1\n10101110\n",
"1\n10100110\n",
"1\n01101110\n",
"1\n01011111\n",
"1\n01111111\n",
"1\n01111101\n",
"1\n01110111\n",
"1\n01110011\n",
"1\n01100011\n",
"1\n01010011\n",
"1\n01010001\n",
"1\n01011001\n",
"1\n00011001\n",
"1\n00011011\n",
"1\n10011011\n",
"1\n10010011\n",
"1\n10111011\n",
"1\n00110111\n",
"1\n10011110\n",
"1\n10101100\n",
"1\n01101100\n",
"1\n01000110\n",
"1\n11000110\n",
"1\n11001110\n",
"1\n01001010\n",
"1\n01000000\n",
"1\n01100000\n",
"1\n01000010\n",
"1\n01110000\n",
"1\n11110000\n",
"1\n11111000\n",
"1\n10111000\n",
"1\n10101000\n",
"1\n10100000\n",
"1\n10000000\n",
"1\n11000000\n",
"1\n01000101\n",
"1\n00000011\n",
"1\n01001000\n",
"1\n24\n",
"1\n11001101\n",
"1\n10000100\n",
"1\n00011111\n",
"1\n00101110\n",
"1\n01001111\n",
"1\n10111111\n",
"1\n10110111\n",
"1\n00010110\n",
"1\n00101100\n",
"1\n01100010\n",
"1\n11000100\n",
"1\n11000001\n",
"1\n01000001\n",
"1\n01000111\n",
"1\n01000011\n"
],
"output": [
"2\n3\n",
"5000001\n",
"35\n",
"5000501\n",
"36\n",
"2\n3\n",
"5500501\n",
"15\n",
"5505501\n",
"16\n",
"500501\n",
"13\n",
"10\n",
"501\n",
"551\n",
"7\n",
"556\n",
"5\n",
"500556\n",
"3\n",
"500551\n",
"5500551\n",
"5500051\n",
"5000051\n",
"5005051\n",
"5005056\n",
"5055056\n",
"5055556\n",
"55556\n",
"5556\n",
"5056\n",
"56\n",
"51\n",
"50051\n",
"550051\n",
"555051\n",
"505051\n",
"505551\n",
"55051\n",
"50551\n",
"55551\n",
"50556\n",
"5050556\n",
"5050056\n",
"550556\n",
"505556\n",
"555556\n",
"555551\n",
"555056\n",
"555006\n",
"550006\n",
"505006\n",
"505001\n",
"505501\n",
"5501\n",
"5506\n",
"5005506\n",
"5005006\n",
"5055506\n",
"55056\n",
"5005556\n",
"5050551\n",
"550551\n",
"500056\n",
"5500056\n",
"5500556\n",
"500506\n",
"500001\n",
"550001\n",
"500006\n",
"555001\n",
"5555001\n",
"5555501\n",
"5055501\n",
"5050501\n",
"5050001\n",
"5000001\n",
"5500001\n",
"500051\n",
"6\n",
"500501\n",
"13\n",
"5500551\n",
"5000051\n",
"5556\n",
"50556\n",
"500556\n",
"5055556\n",
"5055056\n",
"5056\n",
"50551\n",
"550006\n",
"5500051\n",
"5500001\n",
"500001\n",
"500056\n",
"500006\n"
]
} | 2CODEFORCES
|
1393_A. Rainbow Dash, Fluttershy and Chess Coloring_38214 | One evening Rainbow Dash and Fluttershy have come up with a game. Since the ponies are friends, they have decided not to compete in the game but to pursue a common goal.
The game starts on a square flat grid, which initially has the outline borders built up. Rainbow Dash and Fluttershy have flat square blocks with size 1×1, Rainbow Dash has an infinite amount of light blue blocks, Fluttershy has an infinite amount of yellow blocks.
The blocks are placed according to the following rule: each newly placed block must touch the built on the previous turns figure by a side (note that the outline borders of the grid are built initially). At each turn, one pony can place any number of blocks of her color according to the game rules.
Rainbow and Fluttershy have found out that they can build patterns on the grid of the game that way. They have decided to start with something simple, so they made up their mind to place the blocks to form a chess coloring. Rainbow Dash is well-known for her speed, so she is interested in the minimum number of turns she and Fluttershy need to do to get a chess coloring, covering the whole grid with blocks. Please help her find that number!
Since the ponies can play many times on different boards, Rainbow Dash asks you to find the minimum numbers of turns for several grids of the games.
The chess coloring in two colors is the one in which each square is neighbor by side only with squares of different colors.
Input
The first line contains a single integer T (1 ≤ T ≤ 100): the number of grids of the games.
Each of the next T lines contains a single integer n (1 ≤ n ≤ 10^9): the size of the side of the grid of the game.
Output
For each grid of the game print the minimum number of turns required to build a chess coloring pattern out of blocks on it.
Example
Input
2
3
4
Output
2
3
Note
For 3×3 grid ponies can make two following moves: <image> | import java.io.*;
import java.util.*;
public class RainbowDashFlutterflyAndChessColoring {
static class InputReader {
BufferedReader reader;
StringTokenizer tokenizer;
public InputReader(InputStream stream) {
reader = new BufferedReader(new InputStreamReader(stream), 32768);
tokenizer = null;
}
String next() { // reads in the next string
while (tokenizer == null || !tokenizer.hasMoreTokens()) {
try {
tokenizer = new StringTokenizer(reader.readLine());
} catch (IOException e) {
throw new RuntimeException(e);
}
}
return tokenizer.nextToken();
}
public int nextInt() { // reads in the next int
return Integer.parseInt(next());
}
public long nextLong() { // reads in the next long
return Long.parseLong(next());
}
public double nextDouble() { // reads in the next double
return Double.parseDouble(next());
}
}
static InputReader r = new InputReader(System.in);
static PrintWriter pw = new PrintWriter(System.out);
public static void main(String[] args) {
int n = r.nextInt();
for (int i = 0; i < n; i++) {
int s = r.nextInt();
pw.println(s / 2 + 1);
}
pw.close(); // flushes the output once printing is done
}
}
| 4JAVA
| {
"input": [
"2\n3\n4\n",
"1\n10000001\n",
"1\n69\n",
"1\n10001001\n",
"1\n70\n",
"2\n2\n4\n",
"1\n11001001\n",
"1\n29\n",
"1\n11011001\n",
"1\n30\n",
"1\n01001001\n",
"1\n25\n",
"1\n19\n",
"1\n00001000\n",
"1\n00001100\n",
"1\n13\n",
"1\n00001110\n",
"1\n8\n",
"1\n01001110\n",
"1\n5\n",
"1\n01001100\n",
"1\n11001100\n",
"1\n11000101\n",
"1\n10000101\n",
"1\n10010100\n",
"1\n10010110\n",
"1\n10110110\n",
"1\n10111110\n",
"1\n00111110\n",
"1\n00011110\n",
"1\n00010111\n",
"1\n00000111\n",
"1\n00000101\n",
"1\n00100101\n",
"1\n01100101\n",
"1\n01110101\n",
"1\n01010101\n",
"1\n01011101\n",
"1\n00110101\n",
"1\n00101101\n",
"1\n00111101\n",
"1\n00101111\n",
"1\n10101110\n",
"1\n10100110\n",
"1\n01101110\n",
"1\n01011111\n",
"1\n01111111\n",
"1\n01111101\n",
"1\n01110111\n",
"1\n01110011\n",
"1\n01100011\n",
"1\n01010011\n",
"1\n01010001\n",
"1\n01011001\n",
"1\n00011001\n",
"1\n00011011\n",
"1\n10011011\n",
"1\n10010011\n",
"1\n10111011\n",
"1\n00110111\n",
"1\n10011110\n",
"1\n10101100\n",
"1\n01101100\n",
"1\n01000110\n",
"1\n11000110\n",
"1\n11001110\n",
"1\n01001010\n",
"1\n01000000\n",
"1\n01100000\n",
"1\n01000010\n",
"1\n01110000\n",
"1\n11110000\n",
"1\n11111000\n",
"1\n10111000\n",
"1\n10101000\n",
"1\n10100000\n",
"1\n10000000\n",
"1\n11000000\n",
"1\n01000101\n",
"1\n00000011\n",
"1\n01001000\n",
"1\n24\n",
"1\n11001101\n",
"1\n10000100\n",
"1\n00011111\n",
"1\n00101110\n",
"1\n01001111\n",
"1\n10111111\n",
"1\n10110111\n",
"1\n00010110\n",
"1\n00101100\n",
"1\n01100010\n",
"1\n11000100\n",
"1\n11000001\n",
"1\n01000001\n",
"1\n01000111\n",
"1\n01000011\n"
],
"output": [
"2\n3\n",
"5000001\n",
"35\n",
"5000501\n",
"36\n",
"2\n3\n",
"5500501\n",
"15\n",
"5505501\n",
"16\n",
"500501\n",
"13\n",
"10\n",
"501\n",
"551\n",
"7\n",
"556\n",
"5\n",
"500556\n",
"3\n",
"500551\n",
"5500551\n",
"5500051\n",
"5000051\n",
"5005051\n",
"5005056\n",
"5055056\n",
"5055556\n",
"55556\n",
"5556\n",
"5056\n",
"56\n",
"51\n",
"50051\n",
"550051\n",
"555051\n",
"505051\n",
"505551\n",
"55051\n",
"50551\n",
"55551\n",
"50556\n",
"5050556\n",
"5050056\n",
"550556\n",
"505556\n",
"555556\n",
"555551\n",
"555056\n",
"555006\n",
"550006\n",
"505006\n",
"505001\n",
"505501\n",
"5501\n",
"5506\n",
"5005506\n",
"5005006\n",
"5055506\n",
"55056\n",
"5005556\n",
"5050551\n",
"550551\n",
"500056\n",
"5500056\n",
"5500556\n",
"500506\n",
"500001\n",
"550001\n",
"500006\n",
"555001\n",
"5555001\n",
"5555501\n",
"5055501\n",
"5050501\n",
"5050001\n",
"5000001\n",
"5500001\n",
"500051\n",
"6\n",
"500501\n",
"13\n",
"5500551\n",
"5000051\n",
"5556\n",
"50556\n",
"500556\n",
"5055556\n",
"5055056\n",
"5056\n",
"50551\n",
"550006\n",
"5500051\n",
"5500001\n",
"500001\n",
"500056\n",
"500006\n"
]
} | 2CODEFORCES
|
1417_F. Graph and Queries_38215 | You are given an undirected graph consisting of n vertices and m edges. Initially there is a single integer written on every vertex: the vertex i has p_i written on it. All p_i are distinct integers from 1 to n.
You have to process q queries of two types:
* 1 v — among all vertices reachable from the vertex v using the edges of the graph (including the vertex v itself), find a vertex u with the largest number p_u written on it, print p_u and replace p_u with 0;
* 2 i — delete the i-th edge from the graph.
Note that, in a query of the first type, it is possible that all vertices reachable from v have 0 written on them. In this case, u is not explicitly defined, but since the selection of u does not affect anything, you can choose any vertex reachable from v and print its value (which is 0).
Input
The first line contains three integers n, m and q (1 ≤ n ≤ 2 ⋅ 10^5; 1 ≤ m ≤ 3 ⋅ 10^5; 1 ≤ q ≤ 5 ⋅ 10^5).
The second line contains n distinct integers p_1, p_2, ..., p_n, where p_i is the number initially written on vertex i (1 ≤ p_i ≤ n).
Then m lines follow, the i-th of them contains two integers a_i and b_i (1 ≤ a_i, b_i ≤ n, a_i ≠ b_i) and means that the i-th edge connects vertices a_i and b_i. It is guaranteed that the graph does not contain multi-edges.
Then q lines follow, which describe the queries. Each line is given by one of the following formats:
* 1 v — denotes a query of the first type with a vertex v (1 ≤ v ≤ n).
* 2 i — denotes a query of the second type with an edge i (1 ≤ i ≤ m). For each query of the second type, it is guaranteed that the corresponding edge is not deleted from the graph yet.
Output
For every query of the first type, print the value of p_u written on the chosen vertex u.
Example
Input
5 4 6
1 2 5 4 3
1 2
2 3
1 3
4 5
1 1
2 1
2 3
1 1
1 2
1 2
Output
5
1
2
0 | #include <bits/stdc++.h>
using namespace std;
using LL = long long;
using LD = long double;
using PII = pair<int, int>;
using PLL = pair<LL, LL>;
using PLD = pair<LD, LD>;
using VI = vector<int>;
using VLL = vector<LL>;
using VLD = vector<LD>;
using VPII = vector<PII>;
using VPLL = vector<PLL>;
using VPLD = vector<PLD>;
using VVI = vector<VI>;
const int inf = 1e9 + 7;
const int MOD = 998244353;
const LL INF = 1e18 + 7;
const long double PI = acos(-1);
const LD EPS = 1e-9;
namespace input {
template <class T>
istream& operator>>(istream& st, vector<T>& container) {
for (auto& u : container) st >> u;
return st;
}
template <class T, size_t N>
istream& operator>>(istream& st, array<T, N>& container) {
for (auto& u : container) st >> u;
return st;
}
template <class T, class U>
istream& operator>>(istream& st, pair<T, U>& p) {
st >> p.first >> p.second;
return st;
}
void re() {}
template <typename T, typename... TArgs>
void re(T& x, TArgs&... rest) {
cin >> x;
re(rest...);
}
} // namespace input
using namespace input;
namespace output {
template <class T>
ostream& operator<<(ostream& st, const vector<T>& container) {
for (auto& u : container) st << u << ' ';
return st;
}
template <class T, size_t N>
ostream& operator<<(ostream& st, const array<T, N>& container) {
for (auto& u : container) st << u << ' ';
return st;
}
template <class T, class U>
ostream& operator<<(ostream& st, pair<T, U> p) {
st << p.first << ' ' << p.second;
return st;
}
void pr() {}
template <typename T>
void pr(const T& x) {
cout << x;
}
template <typename T, typename... TArgs>
void pr(const T& x, const TArgs&... rest) {
cout << x << ' ';
pr(rest...);
}
template <typename... TArgs>
void prln(const TArgs&... args) {
pr(args...);
cout << '\n';
}
} // namespace output
using namespace output;
namespace pairs {
template <class T, class U, class V>
pair<T, U> operator*(pair<T, U> p, V val) {
return {p.first * val, p.second * val};
}
template <class T, class U, class V>
pair<T, U> operator/(pair<T, U> p, V val) {
return {p.first / val, p.second / val};
}
template <class T, class U>
pair<T, U> operator-(pair<T, U> a, pair<T, U> b) {
return {a.first - b.first, a.second - b.second};
}
template <class T, class U>
pair<T, U> operator+(pair<T, U> a, pair<T, U> b) {
return {a.first + b.first, a.second + b.second};
}
} // namespace pairs
using namespace pairs;
namespace triples {
template <class T1, class T2, class T3>
struct triple {
T1 x;
T2 y;
T3 z;
triple() : x(T1()), y(T2()), z(T3()){};
triple(T1 _x, T2 _y, T3 _z) : x(_x), y(_y), z(_z) {}
};
template <class T1, class T2, class T3>
bool operator<(const triple<T1, T2, T3>& t1, const triple<T1, T2, T3>& t2) {
if (t1.x != t2.x) return t1.x < t2.x;
if (t1.y != t2.y)
return t1.y < t2.y;
else
return t1.z < t2.z;
}
template <class T1, class T2, class T3>
bool operator>(const triple<T1, T2, T3>& t1, const triple<T1, T2, T3>& t2) {
if (t1.x != t2.x) return t1.x > t2.x;
if (t1.y != t2.y)
return t1.y > t2.y;
else
return t1.z > t2.z;
}
template <class T1, class T2, class T3>
bool operator==(const triple<T1, T2, T3>& t1, const triple<T1, T2, T3>& t2) {
return (t1.x == t2.x && t1.y == t2.y && t1.z == t2.z);
}
template <class T1, class T2, class T3>
inline istream& operator>>(istream& os, triple<T1, T2, T3>& t) {
return os >> t.x >> t.y >> t.y;
}
template <class T1, class T2, class T3>
ostream& operator<<(ostream& os, const triple<T1, T2, T3>& t) {
return os << t.x << " " << t.y << " " << t.z;
}
template <class T1, class T2, class T3>
triple<T1, T2, T3> operator+(triple<T1, T2, T3> a, triple<T1, T2, T3> b) {
return {a.x + b.x, a.y + b.y, a.z + b.z};
}
template <class T1, class T2, class T3>
triple<T1, T2, T3> operator-(triple<T1, T2, T3> a, triple<T1, T2, T3> b) {
return {a.x - b.x, a.y - b.y, a.z - b.z};
}
template <class T1, class T2, class T3, class T4>
triple<T1, T2, T3> operator*(triple<T1, T2, T3> a, T4 val) {
return {a.x * val, a.y * val, a.z * val};
}
template <class T1, class T2, class T3, class T4>
triple<T1, T2, T3> operator/(triple<T1, T2, T3> a, T4 val) {
return {a.x / val, a.y / val, a.z / val};
}
using TRII = triple<int, int, int>;
using TRLL = triple<LL, LL, LL>;
using TRLD = triple<LD, LD, LD>;
using VTRII = vector<TRII>;
using VTRLL = vector<TRLL>;
using VTRLD = vector<TRLD>;
} // namespace triples
using namespace triples;
namespace geo {
template <class T>
T dotProduct(pair<T, T> a, pair<T, T> b) {
return a.first * b.first + a.second * b.second;
}
template <class T>
T crossProduct(pair<T, T> a, pair<T, T> b) {
return a.first * b.second - a.second * b.first;
}
template <class T>
T lengthPow(pair<T, T> a) {
return a.first * 1ll * a.first + a.second * 1ll * a.second;
}
template <class T>
LD length(pair<T, T> a) {
return sqrt(lengthPow(a));
}
template <class T>
T dotProduct(triple<T, T, T> a, triple<T, T, T> b) {
return a.x * b.x + a.y * b.y + a.z * b.z;
}
template <class T>
T crossProduct(triple<T, T, T> a, triple<T, T, T> b) {
return {a.y * b.z - a.z * b.y, a.z * b.x - a.x * b.z, a.x * b.y - a.y * b.x};
}
template <class T>
T lengthPow(triple<T, T, T> a) {
return a.x * 1ll * a.x + a.y * 1ll * a.y + a.z * 1ll * a.z;
}
template <class T>
LD length(triple<T, T, T> a) {
return sqrt(lengthPow(a));
}
} // namespace geo
using namespace geo;
template <class T>
T invGeneral(T a, T b) {
a %= b;
if (a == 0) return b == 1 ? 0 : -1;
T x = invGeneral(b, a);
return x == -1 ? -1 : ((1 - (LL)b * x) / a + b) % b;
}
template <class T>
struct modular {
T val;
explicit operator T() const { return val; }
modular() { val = 0; }
modular(const LL& v) {
val = (-MOD <= v && v <= MOD) ? v : v % MOD;
if (val < 0) val += MOD;
}
friend ostream& operator<<(ostream& os, const modular& a) {
return os << a.val;
}
friend void pr(const modular& a) { pr(a.val); }
friend void re(modular& a) {
LL x;
re(x);
a = modular(x);
}
friend bool operator==(const modular& a, const modular& b) {
return a.val == b.val;
}
friend bool operator!=(const modular& a, const modular& b) {
return !(a == b);
}
friend bool operator<(const modular& a, const modular& b) {
return a.val < b.val;
}
modular operator-() const { return modular(-val); }
modular& operator+=(const modular& m) {
if ((val += m.val) >= MOD) val -= MOD;
return *this;
}
modular& operator-=(const modular& m) {
if ((val -= m.val) < 0) val += MOD;
return *this;
}
modular& operator*=(const modular& m) {
val = (LL)val * m.val % MOD;
return *this;
}
friend modular pow(modular a, LL p) {
modular ans = 1;
for (; p; p /= 2, a *= a)
if (p & 1) ans *= a;
return ans;
}
friend modular inv(const modular& a) {
auto i = invGeneral(a.val, MOD);
assert(i != -1);
return i;
}
modular& operator/=(const modular& m) { return (*this) *= inv(m); }
friend modular operator+(modular a, const modular& b) { return a += b; }
friend modular operator-(modular a, const modular& b) { return a -= b; }
friend modular operator*(modular a, const modular& b) { return a *= b; }
friend modular operator/(modular a, const modular& b) { return a /= b; }
};
using MI = modular<int>;
using PMI = pair<MI, MI>;
using VMI = vector<MI>;
using VPMI = vector<PMI>;
namespace debug {
template <typename _T>
inline void _debug(const char* s, _T x) {
cerr << s << " = " << x << "\n";
}
template <typename _T, typename... args>
void _debug(const char* s, _T x, args... a) {
while (*s != ',') cerr << *s++;
cerr << " = " << x << ',';
_debug(s + 1, a...);
}
} // namespace debug
using namespace debug;
template <class T>
bool setMax(T& v, T newV) {
if (v < newV) {
v = newV;
return true;
}
return false;
}
template <class T>
bool setMin(T& v, T newV) {
if (v > newV) {
v = newV;
return true;
}
return false;
}
const int N = 5e5 + 7;
namespace DSU {
int tab[N];
int sz[N];
VI members[N];
void init(int n) {
for (int i = (0); (1) > 0 ? i < (n) : i >= (n); i += (1)) {
sz[i] = 1;
tab[i] = i;
members[i] = {i};
}
}
int Find(int a) {
if (tab[a] != a) tab[a] = Find(tab[a]);
return tab[a];
}
void Union(int a, int b) {
a = Find(a);
b = Find(b);
if (a == b) return;
if (sz[a] < sz[b]) swap(a, b);
tab[b] = a;
sz[a] += sz[b];
members[a].insert(members[a].end(), begin((members[b])), end((members[b])));
}
} // namespace DSU
int val[N];
bool validEdge[N];
bool ok[N];
VI ids[N];
PII queries[N];
int setID[N];
set<int, greater<int>> sety[2 * N];
void solve() {
int n, m, q;
re(n, m, q);
VPII kra;
VI edgeQue;
DSU::init(n);
for (int i = (0); (1) > 0 ? i < (n) : i >= (n); i += (1)) {
re(val[i]);
}
for (int i = (0); (1) > 0 ? i < (m) : i >= (m); i += (1)) validEdge[i] = 1;
for (int i = (0); (1) > 0 ? i < (m) : i >= (m); i += (1)) {
int a, b;
re(a, b);
--a, --b;
kra.push_back({a, b});
}
for (int i = (0); (1) > 0 ? i < (q) : i >= (q); i += (1)) {
int t, a;
re(t, a);
--a;
queries[i] = {t, a};
if (t == 2) {
validEdge[a] = false;
edgeQue.push_back(a);
}
}
reverse(begin((edgeQue)), end((edgeQue)));
for (int i = (0); (1) > 0 ? i < (m) : i >= (m); i += (1)) {
if (not validEdge[i]) continue;
DSU::Union(kra[i].first, kra[i].second);
}
for (const auto& edgeID : edgeQue) {
auto a = DSU::Find(kra[edgeID].first);
auto b = DSU::Find(kra[edgeID].second);
if (a == b) continue;
if (DSU::sz[a] > DSU::sz[b]) swap(a, b);
ids[edgeID] = DSU::members[a];
DSU::Union(a, b);
}
int cnt = 0;
map<int, int> iddd;
for (int i = (0); (1) > 0 ? i < (n) : i >= (n); i += (1)) {
int a = DSU::Find(i);
if (iddd.count(a) == 0) iddd[a] = ++cnt;
setID[i] = iddd[a];
sety[setID[i]].insert(val[i]);
}
for (int i = (0); (1) > 0 ? i < (q) : i >= (q); i += (1)) {
auto [t, a] = queries[i];
if (t == 1) {
auto& set = sety[setID[a]];
if (set.empty()) {
prln(0);
continue;
}
prln(*set.begin());
set.erase(set.begin());
} else {
++cnt;
auto& setOld = sety[setID[kra[a].first]];
auto& setNew = sety[cnt];
for (auto u : ids[a]) {
setID[u] = cnt;
if (setOld.erase(val[u])) setNew.insert(val[u]);
}
}
}
}
int main() {
ios_base::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
;
cout << fixed << setprecision(13);
int t = 1;
for (int i = 1; i <= t; ++i) {
solve();
}
return 0;
}
| 2C++
| {
"input": [
"5 4 6\n1 2 5 4 3\n1 2\n2 3\n1 3\n4 5\n1 1\n2 1\n2 3\n1 1\n1 2\n1 2\n",
"9 5 14\n7 1 4 8 5 2 6 9 3\n2 8\n1 6\n5 7\n1 3\n3 9\n1 5\n1 8\n1 5\n1 4\n1 8\n1 3\n1 5\n1 5\n1 7\n1 7\n2 3\n1 2\n1 1\n1 2\n",
"2 1 3\n1 2\n1 2\n1 1\n1 1\n1 1\n",
"6 5 8\n1 2 6 3 4 5\n2 4\n1 3\n1 6\n3 5\n2 5\n1 1\n1 4\n1 1\n2 1\n2 5\n2 2\n2 3\n1 4\n",
"9 5 14\n7 1 4 8 5 2 6 9 3\n2 8\n1 6\n4 7\n1 3\n3 9\n1 5\n1 8\n1 5\n1 4\n1 8\n1 3\n1 5\n1 5\n1 7\n1 7\n2 3\n1 2\n1 1\n1 2\n",
"2 1 3\n1 2\n1 2\n1 1\n1 2\n1 1\n",
"6 5 8\n1 2 6 3 4 5\n2 4\n1 3\n1 6\n6 5\n2 5\n1 1\n1 4\n1 1\n2 1\n2 5\n2 2\n2 3\n1 4\n",
"5 4 6\n1 2 5 4 3\n1 2\n2 3\n1 3\n4 5\n1 1\n2 2\n2 3\n1 1\n1 2\n1 2\n",
"5 4 6\n1 2 5 4 3\n1 2\n2 3\n1 3\n2 5\n1 1\n2 2\n2 3\n1 1\n1 2\n1 2\n",
"6 5 8\n1 2 6 3 4 1\n2 4\n1 3\n1 6\n3 5\n2 5\n1 1\n1 4\n1 1\n2 1\n2 5\n2 2\n2 3\n1 4\n",
"5 4 6\n1 2 5 4 3\n1 2\n2 3\n1 3\n4 4\n1 1\n2 1\n2 3\n1 1\n1 2\n1 2\n",
"5 4 6\n1 2 5 4 3\n1 2\n2 3\n1 3\n4 4\n1 1\n2 1\n2 3\n1 1\n1 1\n1 2\n",
"6 5 8\n1 2 6 3 4 5\n2 3\n2 3\n1 6\n6 5\n2 5\n1 1\n1 4\n1 1\n2 1\n2 5\n2 2\n2 3\n1 4\n",
"9 5 14\n7 1 4 8 5 2 6 9 3\n2 8\n1 6\n5 7\n1 3\n3 9\n1 5\n1 8\n1 5\n1 4\n1 8\n1 3\n1 5\n1 5\n1 4\n1 7\n2 3\n1 2\n1 1\n1 2\n",
"2 1 3\n1 0\n1 2\n1 1\n1 1\n1 1\n",
"6 5 8\n1 2 6 3 4 5\n2 4\n2 3\n1 6\n3 5\n2 5\n1 1\n1 4\n1 1\n2 1\n2 5\n2 2\n2 3\n1 4\n",
"6 5 8\n1 2 6 3 4 5\n2 4\n1 3\n1 6\n6 5\n2 5\n1 1\n1 4\n1 1\n2 1\n1 5\n2 2\n2 3\n1 4\n",
"5 4 6\n1 2 5 4 3\n1 2\n2 3\n1 3\n4 5\n1 1\n2 2\n2 3\n1 1\n1 4\n1 2\n",
"9 5 14\n7 1 4 8 5 2 6 9 3\n2 8\n1 6\n5 7\n1 2\n3 9\n1 5\n1 8\n1 5\n1 4\n1 8\n1 3\n1 5\n1 5\n1 4\n1 7\n2 3\n1 2\n1 1\n1 2\n",
"2 1 3\n1 2\n1 2\n1 1\n1 1\n2 1\n",
"6 5 8\n1 2 2 3 4 5\n2 4\n1 3\n1 6\n3 5\n2 5\n1 1\n1 4\n1 1\n2 1\n2 5\n2 2\n2 3\n1 4\n",
"9 5 14\n7 1 4 8 5 2 6 9 3\n2 8\n1 6\n4 7\n1 3\n3 9\n1 5\n1 8\n1 5\n1 4\n1 8\n1 3\n1 5\n1 2\n1 7\n1 7\n2 3\n1 2\n1 1\n1 2\n",
"6 5 8\n1 2 6 3 4 5\n2 4\n2 3\n1 6\n6 5\n2 5\n1 1\n1 4\n1 1\n2 1\n2 5\n2 2\n2 3\n1 4\n",
"6 5 8\n1 2 6 3 4 1\n2 4\n1 3\n1 6\n3 5\n2 5\n1 1\n1 5\n1 1\n2 1\n2 5\n2 2\n2 3\n1 4\n",
"5 4 6\n1 2 5 4 3\n1 2\n4 3\n1 3\n4 4\n1 1\n2 1\n2 3\n1 1\n1 2\n1 2\n",
"5 4 6\n1 2 5 4 3\n1 2\n2 3\n1 3\n4 5\n1 1\n2 1\n2 3\n1 1\n1 2\n1 3\n",
"6 5 8\n1 2 6 3 4 1\n2 4\n1 3\n1 6\n3 5\n2 5\n1 1\n1 4\n1 2\n2 1\n2 5\n2 2\n2 3\n1 4\n",
"6 5 8\n1 1 6 3 4 5\n2 3\n2 3\n1 6\n6 5\n2 5\n1 1\n1 4\n1 1\n2 1\n2 5\n2 2\n2 3\n1 4\n",
"6 5 8\n1 1 6 3 2 5\n2 3\n2 3\n1 6\n6 5\n2 5\n1 1\n1 4\n1 1\n2 1\n2 5\n2 2\n2 3\n1 4\n",
"6 5 8\n1 2 6 3 4 5\n2 4\n1 3\n1 6\n6 5\n1 5\n1 1\n1 4\n1 1\n2 1\n2 5\n2 2\n2 3\n1 4\n"
],
"output": [
"5\n1\n2\n0\n",
"6\n9\n5\n8\n1\n7\n0\n0\n0\n0\n0\n4\n0\n",
"2\n1\n0\n",
"6\n5\n4\n3\n",
"5\n9\n0\n8\n1\n7\n0\n0\n6\n0\n0\n4\n0\n",
"2\n1\n0\n",
"6\n5\n4\n3\n",
"5\n2\n1\n0\n",
"5\n3\n2\n1\n",
"6\n4\n3\n0\n",
"5\n1\n2\n0\n",
"5\n1\n0\n2\n",
"6\n3\n5\n0\n",
"6\n9\n5\n8\n1\n7\n0\n0\n0\n0\n0\n4\n0\n",
"1\n0\n0\n",
"5\n6\n1\n3\n",
"6\n5\n4\n2\n3\n",
"5\n2\n4\n1\n",
"6\n9\n5\n8\n7\n4\n0\n0\n0\n0\n2\n1\n0\n",
"2\n1\n",
"5\n4\n3\n0\n",
"5\n9\n0\n8\n1\n7\n0\n0\n6\n0\n0\n4\n0\n",
"6\n5\n4\n3\n",
"6\n4\n3\n0\n",
"5\n1\n2\n0\n",
"5\n1\n2\n0\n",
"6\n4\n3\n0\n",
"6\n3\n5\n0\n",
"6\n3\n5\n0\n",
"6\n3\n5\n0\n"
]
} | 2CODEFORCES
|
1434_D. Roads and Ramen_38216 | In the Land of Fire there are n villages and n-1 bidirectional road, and there is a path between any pair of villages by roads. There are only two types of roads: stone ones and sand ones. Since the Land of Fire is constantly renovating, every morning workers choose a single road and flip its type (so it becomes a stone road if it was a sand road and vice versa). Also everyone here loves ramen, that's why every morning a ramen pavilion is set in the middle of every stone road, and at the end of each day all the pavilions are removed.
For each of the following m days, after another road is flipped, Naruto and Jiraiya choose a simple path — that is, a route which starts in a village and ends in a (possibly, the same) village, and doesn't contain any road twice. Since Naruto and Jiraiya also love ramen very much, they buy a single cup of ramen on each stone road and one of them eats it. Since they don't want to offend each other, they only choose routes where they can eat equal number of ramen cups. Since they both like traveling, they choose any longest possible path. After every renovation find the maximal possible length of a path (that is, the number of roads in it) they can follow.
Input
The first line contains the only positive integer n (2 ≤ n ≤ 500 000) standing for the number of villages in the Land of Fire.
Each of the following (n-1) lines contains a description of another road, represented as three positive integers u, v and t (1 ≤ u, v ≤ n, t ∈ \{0,1\}). The first two numbers denote the villages connected by the road, and the third denotes the initial type of the road: 0 for the sand one and 1 for the stone one. Roads are numbered from 1 to (n-1) in the order from the input.
The following line contains a positive integer m (1 ≤ m ≤ 500 000) standing for the number of days Naruto and Jiraiya travel for.
Each of the following m lines contains the single integer id (1 ≤ id ≤ n-1) standing for the index of the road whose type is flipped on the morning of corresponding day.
It is guaranteed that there is a road path between any pair of villages.
Output
Output m lines. In the i-th of them print the only integer denoting the maximal possible length of any valid path on the i-th day.
Example
Input
5
1 2 0
1 3 0
3 5 0
3 4 0
5
3
4
1
3
4
Output
3
2
3
3
2
Note
After the renovation of the 3-rd road the longest path consists of the roads 1, 2 and 4.
After the renovation of the 4-th road one of the longest paths consists of the roads 1 and 2.
After the renovation of the 1-st road one of the longest paths consists of the roads 1, 2 and 3.
After the renovation of the 3-rd road the longest path consists of the roads 1, 2 and 4.
After the renovation of the 4-rd road one of the longest paths consists of the roads 2 and 4. | #include <bits/stdc++.h>
using namespace std;
template <typename T1, typename T2>
string print_iterable(T1 begin_iter, T2 end_iter, int counter) {
bool done_something = false;
stringstream res;
res << "[";
for (; begin_iter != end_iter and counter; ++begin_iter) {
done_something = true;
counter--;
res << *begin_iter << ", ";
}
string str = res.str();
if (done_something) {
str.pop_back();
str.pop_back();
}
str += "]";
return str;
}
vector<int> SortIndex(int size, std::function<bool(int, int)> compare) {
vector<int> ord(size);
for (int i = 0; i < size; i++) ord[i] = i;
sort(ord.begin(), ord.end(), compare);
return ord;
}
template <typename T>
bool MinPlace(T& a, const T& b) {
if (a > b) {
a = b;
return true;
}
return false;
}
template <typename T>
bool MaxPlace(T& a, const T& b) {
if (a < b) {
a = b;
return true;
}
return false;
}
template <typename S, typename T>
ostream& operator<<(ostream& out, const pair<S, T>& p) {
out << "{" << p.first << ", " << p.second << "}";
return out;
}
template <typename T>
ostream& operator<<(ostream& out, const vector<T>& v) {
out << "[";
for (int i = 0; i < (int)v.size(); i++) {
out << v[i];
if (i != (int)v.size() - 1) out << ", ";
}
out << "]";
return out;
}
template <class TH>
void _dbg(const char* name, TH val) {
clog << name << ": " << val << endl;
}
template <class TH, class... TA>
void _dbg(const char* names, TH curr_val, TA... vals) {
while (*names != ',') clog << *names++;
clog << ": " << curr_val << ", ";
_dbg(names + 1, vals...);
}
struct Edge {
int u, v, id;
int t;
};
int N, Q;
const int MAXN = 1 << 19;
int dep[MAXN];
vector<int> aa[MAXN];
vector<int> ids[MAXN];
Edge edges[MAXN];
int queries[MAXN];
vector<int> prequery;
void dfs(int v, int p) {
for (int a : aa[v]) {
if (a == p) continue;
dep[a] = dep[v] + 1;
dfs(a, v);
}
}
int from[MAXN];
int to[MAXN];
int cnt;
int dist[MAXN];
int ff0[2 * MAXN], ff1[2 * MAXN];
void preproc(int v, int p) {
cnt++;
int id = cnt;
ff0[MAXN + id] = dist[v];
for (int i = 0; i < ((int)((aa[v]).size())); i++) {
int a = aa[v][i];
if (a == p) continue;
dist[a] = dist[v] + 1;
from[ids[v][i]] = cnt + 1;
preproc(a, v);
to[ids[v][i]] = cnt;
}
}
bool flag[2 * MAXN];
void f(int v, int l, int r, int a, int b) {
if (a <= l and r <= b) {
swap(ff0[v], ff1[v]);
flag[v] ^= 1;
return;
}
if (r < a or b < l) return;
if (flag[v]) {
flag[v] = false;
swap(ff0[2 * v], ff1[2 * v]);
swap(ff0[2 * v + 1], ff1[2 * v + 1]);
flag[2 * v] ^= 1, flag[2 * v + 1] ^= 1;
}
int m = (l + r) / 2;
f(2 * v, l, m, a, b);
f(2 * v + 1, m + 1, r, a, b);
ff0[v] = max(ff0[2 * v], ff0[2 * v + 1]);
ff1[v] = max(ff1[2 * v], ff1[2 * v + 1]);
}
void process(int x) { f(1, 0, MAXN - 1, from[x], to[x]); }
vector<int> solve(int root) {
dist[root] = 0;
cnt = 0;
for (int i = 1; i < 2 * MAXN; i++) ff0[i] = ff1[i] = 0, flag[i] = false;
preproc(root, -1);
for (int i = MAXN - 1; i >= 1; i--) {
ff0[i] = max(ff0[2 * i], ff0[2 * i + 1]);
}
for (int q : prequery) process(q);
vector<int> ans(Q);
for (int q = 0; q < Q; q++) {
process(queries[q]);
ans[q] = ff0[1];
}
return ans;
}
int main() {
ios::sync_with_stdio(false);
cin.tie(0);
cin >> N;
for (int i = 0; i < N - 1; i++) {
int u, v, t;
cin >> u >> v >> t;
aa[u].push_back(v);
aa[v].push_back(u);
ids[u].push_back(i + 1);
ids[v].push_back(i + 1);
if (t) prequery.push_back(i + 1);
}
dfs(1, 0);
int A = 1;
for (int v = 2; v <= N; v++)
if (dep[v] > dep[A]) A = v;
dep[A] = 0;
dfs(A, 0);
int B = 1;
for (int v = 2; v <= N; v++)
if (dep[v] > dep[B]) B = v;
cin >> Q;
for (int i = 0; i < Q; i++) cin >> queries[i];
vector<int> ans1 = solve(A);
vector<int> ans2 = solve(B);
for (int i = 0; i < Q; i++) cout << max(ans1[i], ans2[i]) << "\n";
}
| 2C++
| {
"input": [
"5\n1 2 0\n1 3 0\n3 5 0\n3 4 0\n5\n3\n4\n1\n3\n4\n",
"5\n2 4 0\n5 2 0\n1 3 1\n1 2 1\n5\n3\n3\n4\n1\n1\n",
"10\n5 7 0\n2 10 1\n1 5 0\n6 8 0\n4 9 1\n2 5 1\n10 8 0\n2 3 1\n4 2 1\n10\n9\n9\n9\n5\n2\n5\n7\n2\n3\n2\n",
"2\n2 1 1\n10\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n",
"20\n9 11 0\n1 5 0\n1 14 0\n5 17 0\n14 3 0\n16 6 0\n9 2 0\n6 4 0\n11 10 0\n12 7 0\n8 18 0\n13 1 0\n18 11 0\n8 6 0\n5 10 0\n5 15 0\n2 20 0\n19 17 0\n7 17 0\n20\n9\n11\n11\n14\n14\n5\n5\n10\n10\n4\n4\n18\n17\n18\n17\n17\n8\n8\n15\n17\n",
"10\n5 7 0\n4 10 1\n1 5 0\n6 8 0\n4 9 1\n2 5 1\n10 8 0\n2 3 1\n4 2 1\n10\n9\n9\n9\n5\n2\n5\n7\n2\n3\n2\n",
"20\n9 11 0\n1 5 0\n1 14 0\n5 17 0\n14 3 0\n16 6 0\n9 2 0\n6 4 0\n11 10 0\n12 7 0\n8 18 0\n13 1 0\n18 11 0\n8 6 0\n5 10 0\n5 15 0\n2 20 0\n19 17 0\n7 17 0\n20\n9\n11\n11\n14\n14\n5\n5\n10\n10\n4\n8\n18\n17\n18\n17\n17\n8\n8\n15\n17\n",
"20\n9 11 0\n1 5 0\n1 14 0\n5 17 0\n14 3 0\n16 6 0\n9 2 0\n6 4 0\n11 10 0\n12 7 0\n8 18 0\n13 1 0\n18 11 0\n8 6 0\n5 10 0\n5 15 0\n2 20 0\n19 17 0\n7 17 0\n20\n9\n11\n11\n9\n14\n5\n5\n10\n10\n4\n8\n18\n17\n18\n17\n17\n8\n8\n15\n17\n",
"20\n9 11 0\n1 5 0\n1 14 0\n5 17 0\n14 3 0\n16 6 0\n9 2 0\n6 4 0\n11 10 0\n12 7 0\n8 18 0\n13 1 0\n18 11 0\n8 6 0\n5 10 0\n5 15 0\n2 20 0\n19 17 0\n7 17 0\n20\n18\n11\n11\n9\n14\n5\n5\n10\n10\n4\n8\n18\n17\n18\n17\n17\n8\n8\n15\n17\n",
"20\n9 11 0\n1 5 0\n1 14 0\n8 17 0\n14 3 0\n16 6 0\n9 2 0\n6 4 0\n11 10 0\n12 7 0\n8 18 0\n13 1 0\n18 11 0\n8 6 0\n5 10 0\n5 15 0\n2 20 0\n19 17 0\n7 17 0\n20\n18\n11\n11\n9\n14\n5\n5\n10\n10\n4\n8\n18\n17\n18\n17\n17\n8\n8\n15\n17\n",
"20\n9 11 0\n1 5 0\n1 14 0\n8 17 0\n14 3 0\n16 6 0\n9 2 0\n6 4 0\n11 10 0\n12 7 0\n8 18 0\n13 1 0\n18 11 0\n8 6 0\n5 10 0\n5 15 0\n2 20 0\n19 17 0\n7 17 0\n20\n18\n11\n11\n9\n14\n5\n5\n10\n10\n4\n8\n2\n17\n18\n17\n17\n8\n8\n15\n17\n",
"20\n9 11 0\n1 5 0\n1 14 0\n5 17 0\n14 3 0\n16 6 0\n9 2 0\n6 4 0\n11 10 0\n12 7 0\n8 18 0\n13 1 0\n18 11 0\n8 6 0\n5 10 1\n5 15 0\n2 20 0\n19 17 0\n7 17 0\n20\n9\n11\n11\n14\n14\n5\n5\n10\n10\n4\n4\n18\n17\n18\n17\n17\n8\n8\n15\n17\n",
"20\n9 11 0\n1 5 0\n1 14 0\n8 17 0\n14 3 0\n16 6 0\n9 2 0\n6 4 0\n11 10 0\n12 7 0\n8 18 0\n13 1 1\n18 11 0\n8 6 0\n5 10 0\n5 15 0\n2 20 0\n19 17 0\n7 17 0\n20\n18\n11\n11\n9\n14\n5\n5\n10\n10\n4\n8\n2\n17\n18\n17\n17\n8\n8\n15\n17\n",
"5\n2 4 0\n5 2 0\n1 3 1\n1 2 1\n5\n3\n3\n4\n1\n2\n",
"5\n1 2 0\n1 3 0\n3 5 0\n3 4 0\n3\n3\n4\n1\n3\n4\n",
"10\n5 7 0\n4 10 1\n1 5 0\n6 8 1\n4 9 1\n2 5 1\n10 8 0\n2 3 1\n4 2 1\n10\n9\n9\n9\n5\n2\n5\n7\n2\n3\n2\n",
"20\n9 11 0\n1 5 0\n1 14 0\n8 17 0\n14 3 0\n16 6 0\n9 2 0\n6 4 0\n11 10 0\n12 7 0\n8 18 0\n13 1 0\n18 11 0\n8 6 0\n5 10 0\n5 15 0\n2 20 0\n19 17 0\n7 17 0\n20\n9\n11\n11\n14\n14\n5\n5\n10\n10\n4\n8\n18\n17\n18\n17\n17\n8\n8\n15\n17\n",
"20\n9 11 0\n1 5 0\n1 14 0\n5 17 0\n14 3 0\n16 6 0\n9 2 0\n6 4 0\n11 10 0\n12 7 0\n8 18 0\n13 1 0\n18 11 0\n8 6 0\n5 10 0\n5 15 0\n2 20 0\n19 17 0\n7 17 0\n20\n18\n11\n11\n17\n14\n5\n5\n10\n10\n4\n8\n18\n17\n18\n17\n17\n8\n8\n15\n17\n",
"20\n9 11 0\n1 5 0\n1 14 0\n8 17 0\n14 3 0\n16 6 0\n9 2 0\n6 4 0\n11 10 0\n12 7 0\n8 18 0\n13 1 0\n18 11 0\n8 6 0\n5 10 0\n5 15 0\n2 20 0\n19 17 0\n7 17 0\n12\n18\n11\n11\n9\n14\n5\n5\n10\n10\n4\n8\n18\n17\n18\n17\n17\n8\n8\n15\n17\n",
"20\n9 11 0\n1 5 0\n1 14 0\n5 17 0\n14 3 0\n16 6 0\n9 2 0\n6 4 0\n11 10 0\n12 7 0\n8 18 0\n13 1 0\n8 11 0\n8 6 0\n5 10 1\n5 15 0\n2 20 0\n19 17 0\n7 17 0\n20\n9\n11\n11\n14\n14\n5\n5\n10\n10\n4\n4\n18\n17\n18\n17\n17\n8\n8\n15\n17\n",
"5\n1 2 0\n1 3 1\n3 5 0\n3 4 0\n3\n3\n4\n1\n3\n4\n",
"20\n9 11 0\n1 5 0\n1 14 0\n8 17 0\n14 3 0\n16 3 0\n9 2 0\n6 4 0\n11 10 0\n12 7 0\n8 18 0\n13 1 0\n18 11 0\n8 6 0\n5 10 0\n5 15 0\n2 20 0\n19 17 0\n7 17 0\n20\n9\n11\n11\n14\n14\n5\n5\n10\n10\n4\n8\n18\n17\n18\n17\n17\n8\n8\n15\n17\n",
"20\n9 11 0\n1 5 0\n1 14 0\n5 17 1\n14 3 0\n16 6 0\n9 2 0\n6 4 0\n11 10 0\n12 7 0\n8 18 0\n13 1 0\n18 11 0\n8 6 0\n5 10 0\n5 15 0\n2 20 0\n19 17 0\n7 17 0\n20\n9\n11\n11\n9\n14\n5\n5\n10\n10\n4\n8\n18\n17\n18\n17\n17\n8\n8\n15\n13\n",
"20\n9 11 0\n1 5 0\n1 14 0\n5 17 0\n14 3 0\n16 6 0\n9 2 0\n6 4 0\n11 10 0\n12 7 0\n8 18 0\n13 1 0\n18 11 0\n8 6 0\n5 10 0\n5 15 0\n2 20 0\n19 13 0\n7 17 0\n20\n18\n11\n11\n17\n14\n5\n5\n10\n10\n4\n8\n18\n17\n18\n17\n17\n8\n8\n15\n17\n",
"20\n9 12 0\n1 5 0\n1 14 0\n8 17 0\n14 3 0\n16 6 0\n9 2 0\n6 4 0\n11 10 0\n12 7 0\n8 18 0\n13 1 0\n18 11 0\n8 6 0\n5 10 0\n5 15 0\n2 20 0\n19 17 0\n7 17 0\n12\n18\n11\n11\n9\n14\n5\n5\n10\n10\n4\n8\n18\n17\n18\n17\n17\n8\n8\n15\n17\n",
"20\n9 11 0\n1 5 0\n1 14 0\n8 17 0\n14 3 0\n16 6 0\n9 2 0\n6 4 0\n11 10 0\n12 7 0\n8 18 0\n13 1 0\n18 11 0\n8 6 0\n5 10 0\n5 15 0\n2 20 0\n19 17 1\n12 17 0\n20\n18\n11\n11\n9\n14\n5\n5\n10\n10\n4\n8\n2\n17\n18\n17\n17\n8\n8\n15\n17\n",
"20\n9 11 0\n1 5 0\n1 14 0\n5 17 0\n14 3 0\n16 6 0\n9 2 0\n6 4 0\n11 10 0\n12 7 0\n8 18 0\n13 1 0\n8 11 0\n8 6 0\n5 10 1\n5 15 0\n2 20 0\n19 17 0\n7 17 0\n20\n9\n11\n11\n14\n14\n5\n5\n10\n10\n4\n4\n18\n17\n18\n17\n17\n8\n8\n15\n18\n",
"10\n5 7 0\n4 10 1\n1 5 0\n6 8 1\n4 9 1\n2 5 0\n10 8 0\n4 3 1\n4 2 1\n10\n9\n9\n9\n5\n2\n5\n7\n2\n3\n2\n",
"20\n9 11 0\n1 5 0\n1 14 0\n5 17 1\n14 3 0\n16 6 0\n9 2 0\n6 4 0\n11 10 0\n12 7 0\n8 18 0\n13 1 0\n18 11 0\n8 6 0\n5 10 0\n5 15 0\n2 20 0\n19 17 0\n7 17 0\n20\n9\n11\n11\n9\n14\n5\n5\n10\n10\n4\n8\n18\n17\n18\n11\n17\n8\n8\n15\n13\n",
"20\n9 12 0\n1 5 0\n1 14 0\n8 17 0\n14 3 0\n16 6 0\n12 2 0\n6 4 0\n11 10 0\n12 7 0\n8 18 0\n13 1 0\n18 11 0\n8 6 0\n5 10 0\n5 15 0\n2 20 0\n19 17 0\n7 17 0\n12\n18\n11\n11\n9\n14\n5\n5\n10\n10\n4\n8\n18\n17\n18\n17\n17\n8\n8\n15\n17\n",
"20\n9 11 0\n1 5 0\n1 14 0\n8 17 0\n14 3 0\n16 6 0\n9 2 0\n6 4 0\n11 10 0\n12 7 0\n8 18 0\n13 1 0\n18 11 0\n8 6 0\n5 10 0\n5 15 0\n2 20 0\n19 17 1\n12 17 0\n20\n18\n11\n11\n9\n14\n5\n5\n10\n10\n4\n2\n2\n17\n18\n17\n17\n8\n8\n15\n17\n",
"20\n9 12 0\n1 5 0\n1 14 0\n8 17 0\n14 3 0\n16 6 0\n12 2 0\n6 4 0\n11 10 0\n12 7 0\n8 18 0\n13 1 0\n18 11 0\n8 6 0\n5 10 0\n5 15 0\n2 20 1\n19 17 0\n7 17 0\n12\n18\n11\n11\n9\n14\n5\n5\n10\n10\n4\n8\n18\n17\n18\n17\n17\n8\n8\n15\n17\n",
"5\n2 4 0\n5 2 0\n1 3 1\n1 2 1\n2\n3\n3\n4\n1\n1\n",
"20\n9 11 0\n1 5 0\n1 14 0\n5 17 0\n14 3 0\n16 6 0\n9 2 0\n11 4 0\n11 10 0\n12 7 0\n8 18 0\n13 1 0\n18 11 0\n8 6 0\n5 10 0\n5 15 0\n2 20 0\n19 17 0\n7 17 0\n20\n9\n11\n11\n14\n14\n5\n5\n10\n10\n4\n4\n18\n17\n18\n17\n17\n8\n8\n15\n17\n",
"20\n9 11 0\n1 5 0\n1 14 0\n5 17 0\n14 3 0\n16 6 0\n9 2 0\n6 4 0\n11 10 0\n12 7 0\n8 18 0\n13 1 0\n18 11 0\n8 6 0\n5 10 0\n5 15 0\n2 20 0\n19 17 0\n7 17 0\n20\n9\n11\n9\n14\n14\n5\n5\n10\n10\n4\n4\n18\n17\n18\n17\n17\n8\n8\n15\n17\n",
"20\n9 11 0\n1 5 0\n1 14 0\n5 17 0\n14 3 0\n16 6 0\n9 2 0\n6 4 0\n11 10 0\n12 7 0\n8 18 0\n13 1 0\n18 11 0\n8 6 0\n5 10 0\n5 15 0\n2 20 0\n19 17 0\n7 17 0\n20\n1\n11\n11\n9\n14\n5\n5\n10\n10\n4\n8\n18\n17\n18\n17\n17\n8\n8\n15\n17\n",
"20\n9 11 0\n1 5 0\n1 14 0\n8 17 0\n16 3 0\n16 6 0\n9 2 0\n6 4 0\n11 10 0\n12 7 0\n8 18 0\n13 1 0\n18 11 0\n8 6 0\n5 10 0\n5 15 0\n2 20 0\n19 17 0\n7 17 0\n20\n18\n11\n11\n9\n14\n5\n5\n10\n10\n4\n8\n18\n17\n18\n17\n17\n8\n8\n15\n17\n",
"20\n9 11 0\n1 5 0\n1 14 0\n8 17 0\n14 3 0\n16 6 0\n9 2 0\n6 4 0\n11 10 0\n12 7 0\n8 18 0\n13 1 0\n18 11 0\n8 6 0\n5 10 0\n5 15 0\n2 20 0\n19 17 0\n7 17 0\n20\n18\n11\n11\n9\n14\n5\n5\n12\n10\n4\n8\n2\n17\n18\n17\n17\n8\n8\n15\n17\n",
"20\n9 11 0\n1 5 0\n1 14 0\n5 17 0\n14 3 0\n16 6 0\n9 2 0\n6 4 0\n11 10 0\n12 7 0\n8 18 0\n13 1 0\n18 11 0\n8 6 0\n5 10 0\n5 15 0\n2 20 0\n19 17 0\n7 17 0\n20\n9\n11\n11\n9\n14\n5\n5\n10\n10\n4\n8\n18\n17\n18\n17\n17\n8\n8\n15\n13\n",
"20\n9 11 0\n1 5 0\n1 14 0\n8 17 0\n14 3 0\n16 6 0\n9 2 0\n6 4 0\n11 10 0\n12 7 0\n8 18 0\n13 1 0\n18 11 0\n8 6 0\n5 10 0\n5 15 0\n2 20 0\n19 17 0\n12 17 0\n20\n18\n11\n11\n9\n14\n5\n5\n10\n10\n4\n8\n2\n17\n18\n17\n17\n8\n8\n15\n17\n",
"10\n5 7 0\n4 10 1\n1 5 0\n6 8 1\n4 9 1\n2 5 1\n10 8 0\n4 3 1\n4 2 1\n10\n9\n9\n9\n5\n2\n5\n7\n2\n3\n2\n",
"5\n1 2 0\n1 3 1\n3 5 0\n3 4 0\n3\n3\n4\n1\n6\n4\n",
"20\n9 11 0\n1 5 0\n1 14 0\n5 17 1\n14 3 0\n16 6 0\n9 2 0\n6 4 0\n11 10 0\n12 7 0\n8 18 0\n13 1 0\n18 11 0\n8 6 0\n5 10 0\n5 15 0\n2 20 0\n19 17 0\n7 17 0\n20\n9\n11\n11\n9\n14\n5\n5\n10\n10\n4\n8\n18\n17\n18\n11\n17\n5\n8\n15\n13\n",
"20\n9 12 0\n1 5 0\n1 14 0\n8 17 0\n14 3 0\n16 6 0\n12 2 0\n6 4 0\n11 10 0\n12 7 0\n8 18 0\n13 1 0\n18 11 0\n8 6 0\n5 10 0\n5 15 0\n2 20 1\n19 17 0\n7 17 0\n12\n18\n11\n11\n9\n14\n5\n5\n10\n10\n4\n8\n18\n17\n18\n17\n17\n8\n8\n18\n17\n",
"20\n9 12 0\n1 5 0\n1 14 0\n8 17 0\n14 3 0\n16 11 0\n12 2 0\n6 4 0\n11 10 0\n12 7 0\n8 18 0\n13 1 0\n18 11 0\n8 6 0\n5 10 0\n5 15 0\n2 20 1\n19 17 0\n7 17 0\n12\n18\n11\n11\n9\n14\n5\n5\n10\n10\n4\n8\n18\n17\n18\n17\n17\n8\n8\n18\n17\n"
],
"output": [
"3\n2\n3\n3\n2\n",
"2\n3\n2\n3\n2\n",
"5\n5\n5\n5\n5\n4\n5\n4\n5\n5\n",
"1\n0\n1\n0\n1\n0\n1\n0\n1\n0\n",
"7\n9\n7\n9\n7\n9\n7\n9\n7\n9\n7\n8\n8\n8\n7\n8\n9\n8\n9\n9\n",
"6\n4\n6\n6\n4\n4\n6\n4\n6\n6\n",
"7\n9\n7\n9\n7\n9\n7\n9\n7\n9\n9\n9\n9\n9\n9\n9\n9\n9\n9\n9\n",
"7\n9\n7\n9\n8\n9\n8\n9\n8\n9\n9\n9\n9\n9\n9\n9\n9\n9\n9\n9\n",
"9\n8\n9\n8\n9\n9\n9\n9\n9\n9\n9\n9\n9\n9\n9\n9\n9\n9\n9\n9\n",
"10\n9\n10\n9\n9\n10\n9\n10\n9\n10\n10\n10\n10\n10\n10\n10\n10\n10\n9\n9\n",
"10\n9\n10\n9\n9\n10\n9\n10\n9\n10\n10\n9\n9\n9\n9\n9\n8\n9\n10\n10\n",
"9\n8\n9\n8\n9\n9\n9\n9\n9\n9\n9\n9\n9\n9\n9\n9\n9\n9\n8\n7\n",
"10\n9\n10\n9\n9\n10\n9\n10\n9\n10\n10\n9\n9\n9\n9\n9\n9\n9\n10\n10\n",
"2\n3\n2\n3\n3\n",
"3\n2\n3\n",
"5\n6\n5\n5\n6\n6\n5\n6\n6\n6\n",
"8\n10\n8\n9\n8\n10\n8\n10\n8\n10\n10\n10\n10\n10\n10\n10\n10\n10\n9\n9\n",
"9\n8\n9\n9\n8\n9\n8\n9\n8\n9\n9\n9\n9\n9\n9\n9\n9\n9\n9\n9\n",
"10\n9\n10\n9\n9\n10\n9\n10\n9\n10\n10\n10\n",
"8\n8\n8\n8\n8\n8\n8\n8\n8\n8\n8\n8\n8\n8\n8\n8\n8\n8\n8\n6\n",
"3\n3\n2\n",
"8\n11\n8\n10\n8\n11\n8\n11\n8\n11\n11\n11\n11\n11\n11\n11\n11\n11\n9\n9\n",
"9\n9\n9\n9\n9\n9\n9\n8\n9\n8\n9\n9\n9\n9\n9\n9\n7\n9\n9\n9\n",
"9\n9\n9\n9\n9\n9\n9\n9\n9\n9\n9\n9\n9\n9\n9\n9\n9\n9\n9\n9\n",
"13\n9\n13\n9\n9\n13\n9\n13\n9\n13\n13\n13\n",
"10\n8\n10\n8\n9\n10\n9\n10\n9\n10\n10\n9\n9\n9\n9\n9\n9\n9\n10\n10\n",
"8\n8\n8\n8\n8\n8\n8\n8\n8\n8\n8\n8\n8\n8\n8\n8\n8\n8\n8\n8\n",
"6\n5\n6\n6\n5\n5\n6\n5\n6\n6\n",
"9\n9\n9\n9\n9\n9\n9\n8\n9\n8\n9\n9\n9\n9\n9\n9\n9\n9\n9\n9\n",
"12\n9\n12\n9\n9\n12\n9\n12\n9\n12\n12\n12\n",
"10\n8\n10\n8\n9\n10\n9\n10\n9\n10\n8\n10\n10\n10\n10\n10\n10\n10\n9\n9\n",
"11\n12\n11\n12\n12\n11\n12\n11\n12\n11\n11\n11\n",
"2\n3\n",
"7\n9\n7\n9\n7\n9\n7\n9\n7\n9\n7\n8\n8\n8\n7\n8\n8\n8\n9\n9\n",
"7\n9\n8\n9\n8\n9\n8\n9\n8\n9\n8\n8\n8\n7\n8\n7\n9\n7\n9\n9\n",
"9\n7\n9\n8\n9\n9\n9\n9\n9\n9\n9\n9\n9\n9\n9\n9\n9\n9\n9\n9\n",
"9\n8\n9\n8\n9\n8\n9\n9\n9\n9\n9\n9\n9\n9\n9\n9\n9\n9\n8\n8\n",
"10\n9\n10\n9\n9\n10\n9\n9\n10\n9\n9\n10\n10\n10\n10\n10\n10\n10\n9\n9\n",
"7\n9\n7\n9\n8\n9\n8\n9\n8\n9\n9\n9\n9\n9\n9\n9\n9\n9\n9\n9\n",
"10\n9\n10\n9\n9\n10\n9\n10\n9\n10\n10\n9\n9\n9\n9\n9\n8\n9\n10\n10\n",
"5\n6\n5\n5\n6\n6\n5\n6\n6\n6\n",
"3\n3\n2\n",
"9\n9\n9\n9\n9\n9\n9\n8\n9\n8\n9\n9\n9\n9\n9\n9\n9\n9\n9\n9\n",
"11\n12\n11\n12\n12\n11\n12\n11\n12\n11\n11\n11\n",
"11\n12\n11\n12\n12\n11\n12\n11\n12\n11\n11\n11\n"
]
} | 2CODEFORCES
|
1434_D. Roads and Ramen_38217 | In the Land of Fire there are n villages and n-1 bidirectional road, and there is a path between any pair of villages by roads. There are only two types of roads: stone ones and sand ones. Since the Land of Fire is constantly renovating, every morning workers choose a single road and flip its type (so it becomes a stone road if it was a sand road and vice versa). Also everyone here loves ramen, that's why every morning a ramen pavilion is set in the middle of every stone road, and at the end of each day all the pavilions are removed.
For each of the following m days, after another road is flipped, Naruto and Jiraiya choose a simple path — that is, a route which starts in a village and ends in a (possibly, the same) village, and doesn't contain any road twice. Since Naruto and Jiraiya also love ramen very much, they buy a single cup of ramen on each stone road and one of them eats it. Since they don't want to offend each other, they only choose routes where they can eat equal number of ramen cups. Since they both like traveling, they choose any longest possible path. After every renovation find the maximal possible length of a path (that is, the number of roads in it) they can follow.
Input
The first line contains the only positive integer n (2 ≤ n ≤ 500 000) standing for the number of villages in the Land of Fire.
Each of the following (n-1) lines contains a description of another road, represented as three positive integers u, v and t (1 ≤ u, v ≤ n, t ∈ \{0,1\}). The first two numbers denote the villages connected by the road, and the third denotes the initial type of the road: 0 for the sand one and 1 for the stone one. Roads are numbered from 1 to (n-1) in the order from the input.
The following line contains a positive integer m (1 ≤ m ≤ 500 000) standing for the number of days Naruto and Jiraiya travel for.
Each of the following m lines contains the single integer id (1 ≤ id ≤ n-1) standing for the index of the road whose type is flipped on the morning of corresponding day.
It is guaranteed that there is a road path between any pair of villages.
Output
Output m lines. In the i-th of them print the only integer denoting the maximal possible length of any valid path on the i-th day.
Example
Input
5
1 2 0
1 3 0
3 5 0
3 4 0
5
3
4
1
3
4
Output
3
2
3
3
2
Note
After the renovation of the 3-rd road the longest path consists of the roads 1, 2 and 4.
After the renovation of the 4-th road one of the longest paths consists of the roads 1 and 2.
After the renovation of the 1-st road one of the longest paths consists of the roads 1, 2 and 3.
After the renovation of the 3-rd road the longest path consists of the roads 1, 2 and 4.
After the renovation of the 4-rd road one of the longest paths consists of the roads 2 and 4. | import java.io.OutputStream;
import java.io.IOException;
import java.io.InputStream;
import java.io.OutputStream;
import java.io.IOException;
import java.util.ArrayList;
import java.io.UncheckedIOException;
import java.util.List;
import java.io.Closeable;
import java.io.Writer;
import java.io.OutputStreamWriter;
import java.util.Comparator;
import java.io.InputStream;
/**
* Built using CHelper plug-in
* Actual solution is at the top
*/
public class Main {
public static void main(String[] args) throws Exception {
Thread thread = new Thread(null, new TaskAdapter(), "", 1 << 29);
thread.start();
thread.join();
}
static class TaskAdapter implements Runnable {
@Override
public void run() {
InputStream inputStream = System.in;
OutputStream outputStream = System.out;
FastInput in = new FastInput(inputStream);
FastOutput out = new FastOutput(outputStream);
DRoadsAndRamen solver = new DRoadsAndRamen();
solver.solve(1, in, out);
out.close();
}
}
static class DRoadsAndRamen {
int[][] edges;
int alloc = 1;
public void solve(int testNumber, FastInput in, FastOutput out) {
int n = in.readInt();
Node[] nodes = new Node[n];
for (int i = 0; i < n; i++) {
nodes[i] = new Node();
nodes[i].id = i;
}
List<Query> allQuery = new ArrayList<>(1000000);
edges = new int[n - 1][2];
for (int i = 0; i < n - 1; i++) {
int u = in.readInt() - 1;
int v = in.readInt() - 1;
edges[i][0] = u;
edges[i][1] = v;
Node a = nodes[u];
Node b = nodes[v];
a.adj.add(b);
b.adj.add(a);
if (in.readInt() == 1) {
allQuery.add(new Query(i));
}
}
int m = in.readInt();
Query[] qs = new Query[m];
for (int i = 0; i < m; i++) {
qs[i] = new Query(in.readInt() - 1);
allQuery.add(qs[i]);
}
dfsForDepth(nodes[0], null);
Node a = CompareUtils.maxOf(nodes, 0, n - 1, Node.sortByDepth);
dfsForDepth(a, null);
Node b = CompareUtils.maxOf(nodes, 0, n - 1, Node.sortByDepth);
solve(a, nodes, allQuery);
solve(b, nodes, allQuery);
for (Query q : qs) {
out.println(q.ans);
}
}
public void solve(Node root, Node[] nodes, List<Query> qs) {
dfsForLR(root, null);
alloc = 1;
int n = nodes.length;
Node[] invIds = new Node[n + 1];
for (Node node : nodes) {
invIds[node.l] = node;
}
Segment seg = new Segment(1, n, i -> invIds[i].depth);
for (Query q : qs) {
Node u = nodes[edges[q.v][0]];
Node v = nodes[edges[q.v][1]];
if (u.depth < v.depth) {
Node tmp = u;
u = v;
v = tmp;
}
seg.update(u.l, u.r, 1, n);
q.ans = Math.max(q.ans, seg.query(1, n, 1, n));
}
}
public void dfsForLR(Node root, Node p) {
root.l = alloc++;
root.depth = p == null ? 0 : p.depth + 1;
for (Node node : root.adj) {
if (node == p) {
continue;
}
dfsForLR(node, root);
}
root.r = alloc - 1;
}
public void dfsForDepth(Node root, Node p) {
root.depth = p == null ? 0 : p.depth + 1;
for (Node node : root.adj) {
if (node == p) {
continue;
}
dfsForDepth(node, root);
}
}
}
static class CompareUtils {
private CompareUtils() {
}
public static <T> T maxOf(T[] a, int l, int r, Comparator<T> comp) {
T x = a[l];
for (int i = l; i <= r; i++) {
x = max(x, a[i], comp);
}
return x;
}
public static <T> T max(T a, T b, Comparator<T> comp) {
return comp.compare(a, b) >= 0 ? a : b;
}
}
static class Node {
int id;
List<Node> adj = new ArrayList<>();
int depth;
int l;
int r;
static Comparator<Node> sortByDepth = (a, b) -> Integer.compare(a.depth, b.depth);
public String toString() {
return "" + (id + 1);
}
}
static class Segment implements Cloneable {
private Segment left;
private Segment right;
private int[] oe = new int[2];
private boolean rev;
private void modify() {
rev = !rev;
SequenceUtils.swap(oe, 0, 1);
}
public void pushUp() {
for (int i = 0; i < 2; i++) {
oe[i] = Math.max(left.oe[i], right.oe[i]);
}
}
public void pushDown() {
if (rev) {
left.modify();
right.modify();
rev = false;
}
}
public Segment(int l, int r, IntToIntegerFunction func) {
if (l < r) {
int m = DigitUtils.floorAverage(l, r);
left = new Segment(l, m, func);
right = new Segment(m + 1, r, func);
pushUp();
} else {
oe[0] = func.apply(l);
oe[1] = 0;
}
}
private boolean covered(int ll, int rr, int l, int r) {
return ll <= l && rr >= r;
}
private boolean noIntersection(int ll, int rr, int l, int r) {
return ll > r || rr < l;
}
public void update(int ll, int rr, int l, int r) {
if (noIntersection(ll, rr, l, r)) {
return;
}
if (covered(ll, rr, l, r)) {
modify();
return;
}
pushDown();
int m = DigitUtils.floorAverage(l, r);
left.update(ll, rr, l, m);
right.update(ll, rr, m + 1, r);
pushUp();
}
public int query(int ll, int rr, int l, int r) {
if (noIntersection(ll, rr, l, r)) {
return 0;
}
if (covered(ll, rr, l, r)) {
return oe[0];
}
pushDown();
int m = DigitUtils.floorAverage(l, r);
return Math.max(left.query(ll, rr, l, m),
right.query(ll, rr, m + 1, r));
}
private Segment deepClone() {
Segment seg = clone();
if (seg.left != null) {
seg.left = seg.left.deepClone();
}
if (seg.right != null) {
seg.right = seg.right.deepClone();
}
return seg;
}
protected Segment clone() {
try {
return (Segment) super.clone();
} catch (CloneNotSupportedException e) {
throw new RuntimeException(e);
}
}
private void toString(StringBuilder builder) {
if (left == null && right == null) {
builder.append("val").append(",");
return;
}
pushDown();
left.toString(builder);
right.toString(builder);
}
public String toString() {
StringBuilder builder = new StringBuilder();
deepClone().toString(builder);
if (builder.length() > 0) {
builder.setLength(builder.length() - 1);
}
return builder.toString();
}
}
static class FastOutput implements AutoCloseable, Closeable, Appendable {
private static final int THRESHOLD = 1 << 13;
private final Writer os;
private StringBuilder cache = new StringBuilder(THRESHOLD * 2);
public FastOutput append(CharSequence csq) {
cache.append(csq);
return this;
}
public FastOutput append(CharSequence csq, int start, int end) {
cache.append(csq, start, end);
return this;
}
private void afterWrite() {
if (cache.length() < THRESHOLD) {
return;
}
flush();
}
public FastOutput(Writer os) {
this.os = os;
}
public FastOutput(OutputStream os) {
this(new OutputStreamWriter(os));
}
public FastOutput append(char c) {
cache.append(c);
afterWrite();
return this;
}
public FastOutput append(int c) {
cache.append(c);
afterWrite();
return this;
}
public FastOutput append(String c) {
cache.append(c);
afterWrite();
return this;
}
public FastOutput println(int c) {
return append(c).println();
}
public FastOutput println() {
return append(System.lineSeparator());
}
public FastOutput flush() {
try {
os.append(cache);
os.flush();
cache.setLength(0);
} catch (IOException e) {
throw new UncheckedIOException(e);
}
return this;
}
public void close() {
flush();
try {
os.close();
} catch (IOException e) {
throw new UncheckedIOException(e);
}
}
public String toString() {
return cache.toString();
}
}
static interface IntToIntegerFunction {
int apply(int x);
}
static class Query {
int v;
int ans;
public Query(int v) {
this.v = v;
}
}
static class FastInput {
private final InputStream is;
private byte[] buf = new byte[1 << 13];
private int bufLen;
private int bufOffset;
private int next;
public FastInput(InputStream is) {
this.is = is;
}
private int read() {
while (bufLen == bufOffset) {
bufOffset = 0;
try {
bufLen = is.read(buf);
} catch (IOException e) {
bufLen = -1;
}
if (bufLen == -1) {
return -1;
}
}
return buf[bufOffset++];
}
public void skipBlank() {
while (next >= 0 && next <= 32) {
next = read();
}
}
public int readInt() {
int sign = 1;
skipBlank();
if (next == '+' || next == '-') {
sign = next == '+' ? 1 : -1;
next = read();
}
int val = 0;
if (sign == 1) {
while (next >= '0' && next <= '9') {
val = val * 10 + next - '0';
next = read();
}
} else {
while (next >= '0' && next <= '9') {
val = val * 10 - next + '0';
next = read();
}
}
return val;
}
}
static class SequenceUtils {
public static void swap(int[] data, int i, int j) {
int tmp = data[i];
data[i] = data[j];
data[j] = tmp;
}
}
static class DigitUtils {
private DigitUtils() {
}
public static int floorAverage(int x, int y) {
return (x & y) + ((x ^ y) >> 1);
}
}
}
| 4JAVA
| {
"input": [
"5\n1 2 0\n1 3 0\n3 5 0\n3 4 0\n5\n3\n4\n1\n3\n4\n",
"5\n2 4 0\n5 2 0\n1 3 1\n1 2 1\n5\n3\n3\n4\n1\n1\n",
"10\n5 7 0\n2 10 1\n1 5 0\n6 8 0\n4 9 1\n2 5 1\n10 8 0\n2 3 1\n4 2 1\n10\n9\n9\n9\n5\n2\n5\n7\n2\n3\n2\n",
"2\n2 1 1\n10\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n",
"20\n9 11 0\n1 5 0\n1 14 0\n5 17 0\n14 3 0\n16 6 0\n9 2 0\n6 4 0\n11 10 0\n12 7 0\n8 18 0\n13 1 0\n18 11 0\n8 6 0\n5 10 0\n5 15 0\n2 20 0\n19 17 0\n7 17 0\n20\n9\n11\n11\n14\n14\n5\n5\n10\n10\n4\n4\n18\n17\n18\n17\n17\n8\n8\n15\n17\n",
"10\n5 7 0\n4 10 1\n1 5 0\n6 8 0\n4 9 1\n2 5 1\n10 8 0\n2 3 1\n4 2 1\n10\n9\n9\n9\n5\n2\n5\n7\n2\n3\n2\n",
"20\n9 11 0\n1 5 0\n1 14 0\n5 17 0\n14 3 0\n16 6 0\n9 2 0\n6 4 0\n11 10 0\n12 7 0\n8 18 0\n13 1 0\n18 11 0\n8 6 0\n5 10 0\n5 15 0\n2 20 0\n19 17 0\n7 17 0\n20\n9\n11\n11\n14\n14\n5\n5\n10\n10\n4\n8\n18\n17\n18\n17\n17\n8\n8\n15\n17\n",
"20\n9 11 0\n1 5 0\n1 14 0\n5 17 0\n14 3 0\n16 6 0\n9 2 0\n6 4 0\n11 10 0\n12 7 0\n8 18 0\n13 1 0\n18 11 0\n8 6 0\n5 10 0\n5 15 0\n2 20 0\n19 17 0\n7 17 0\n20\n9\n11\n11\n9\n14\n5\n5\n10\n10\n4\n8\n18\n17\n18\n17\n17\n8\n8\n15\n17\n",
"20\n9 11 0\n1 5 0\n1 14 0\n5 17 0\n14 3 0\n16 6 0\n9 2 0\n6 4 0\n11 10 0\n12 7 0\n8 18 0\n13 1 0\n18 11 0\n8 6 0\n5 10 0\n5 15 0\n2 20 0\n19 17 0\n7 17 0\n20\n18\n11\n11\n9\n14\n5\n5\n10\n10\n4\n8\n18\n17\n18\n17\n17\n8\n8\n15\n17\n",
"20\n9 11 0\n1 5 0\n1 14 0\n8 17 0\n14 3 0\n16 6 0\n9 2 0\n6 4 0\n11 10 0\n12 7 0\n8 18 0\n13 1 0\n18 11 0\n8 6 0\n5 10 0\n5 15 0\n2 20 0\n19 17 0\n7 17 0\n20\n18\n11\n11\n9\n14\n5\n5\n10\n10\n4\n8\n18\n17\n18\n17\n17\n8\n8\n15\n17\n",
"20\n9 11 0\n1 5 0\n1 14 0\n8 17 0\n14 3 0\n16 6 0\n9 2 0\n6 4 0\n11 10 0\n12 7 0\n8 18 0\n13 1 0\n18 11 0\n8 6 0\n5 10 0\n5 15 0\n2 20 0\n19 17 0\n7 17 0\n20\n18\n11\n11\n9\n14\n5\n5\n10\n10\n4\n8\n2\n17\n18\n17\n17\n8\n8\n15\n17\n",
"20\n9 11 0\n1 5 0\n1 14 0\n5 17 0\n14 3 0\n16 6 0\n9 2 0\n6 4 0\n11 10 0\n12 7 0\n8 18 0\n13 1 0\n18 11 0\n8 6 0\n5 10 1\n5 15 0\n2 20 0\n19 17 0\n7 17 0\n20\n9\n11\n11\n14\n14\n5\n5\n10\n10\n4\n4\n18\n17\n18\n17\n17\n8\n8\n15\n17\n",
"20\n9 11 0\n1 5 0\n1 14 0\n8 17 0\n14 3 0\n16 6 0\n9 2 0\n6 4 0\n11 10 0\n12 7 0\n8 18 0\n13 1 1\n18 11 0\n8 6 0\n5 10 0\n5 15 0\n2 20 0\n19 17 0\n7 17 0\n20\n18\n11\n11\n9\n14\n5\n5\n10\n10\n4\n8\n2\n17\n18\n17\n17\n8\n8\n15\n17\n",
"5\n2 4 0\n5 2 0\n1 3 1\n1 2 1\n5\n3\n3\n4\n1\n2\n",
"5\n1 2 0\n1 3 0\n3 5 0\n3 4 0\n3\n3\n4\n1\n3\n4\n",
"10\n5 7 0\n4 10 1\n1 5 0\n6 8 1\n4 9 1\n2 5 1\n10 8 0\n2 3 1\n4 2 1\n10\n9\n9\n9\n5\n2\n5\n7\n2\n3\n2\n",
"20\n9 11 0\n1 5 0\n1 14 0\n8 17 0\n14 3 0\n16 6 0\n9 2 0\n6 4 0\n11 10 0\n12 7 0\n8 18 0\n13 1 0\n18 11 0\n8 6 0\n5 10 0\n5 15 0\n2 20 0\n19 17 0\n7 17 0\n20\n9\n11\n11\n14\n14\n5\n5\n10\n10\n4\n8\n18\n17\n18\n17\n17\n8\n8\n15\n17\n",
"20\n9 11 0\n1 5 0\n1 14 0\n5 17 0\n14 3 0\n16 6 0\n9 2 0\n6 4 0\n11 10 0\n12 7 0\n8 18 0\n13 1 0\n18 11 0\n8 6 0\n5 10 0\n5 15 0\n2 20 0\n19 17 0\n7 17 0\n20\n18\n11\n11\n17\n14\n5\n5\n10\n10\n4\n8\n18\n17\n18\n17\n17\n8\n8\n15\n17\n",
"20\n9 11 0\n1 5 0\n1 14 0\n8 17 0\n14 3 0\n16 6 0\n9 2 0\n6 4 0\n11 10 0\n12 7 0\n8 18 0\n13 1 0\n18 11 0\n8 6 0\n5 10 0\n5 15 0\n2 20 0\n19 17 0\n7 17 0\n12\n18\n11\n11\n9\n14\n5\n5\n10\n10\n4\n8\n18\n17\n18\n17\n17\n8\n8\n15\n17\n",
"20\n9 11 0\n1 5 0\n1 14 0\n5 17 0\n14 3 0\n16 6 0\n9 2 0\n6 4 0\n11 10 0\n12 7 0\n8 18 0\n13 1 0\n8 11 0\n8 6 0\n5 10 1\n5 15 0\n2 20 0\n19 17 0\n7 17 0\n20\n9\n11\n11\n14\n14\n5\n5\n10\n10\n4\n4\n18\n17\n18\n17\n17\n8\n8\n15\n17\n",
"5\n1 2 0\n1 3 1\n3 5 0\n3 4 0\n3\n3\n4\n1\n3\n4\n",
"20\n9 11 0\n1 5 0\n1 14 0\n8 17 0\n14 3 0\n16 3 0\n9 2 0\n6 4 0\n11 10 0\n12 7 0\n8 18 0\n13 1 0\n18 11 0\n8 6 0\n5 10 0\n5 15 0\n2 20 0\n19 17 0\n7 17 0\n20\n9\n11\n11\n14\n14\n5\n5\n10\n10\n4\n8\n18\n17\n18\n17\n17\n8\n8\n15\n17\n",
"20\n9 11 0\n1 5 0\n1 14 0\n5 17 1\n14 3 0\n16 6 0\n9 2 0\n6 4 0\n11 10 0\n12 7 0\n8 18 0\n13 1 0\n18 11 0\n8 6 0\n5 10 0\n5 15 0\n2 20 0\n19 17 0\n7 17 0\n20\n9\n11\n11\n9\n14\n5\n5\n10\n10\n4\n8\n18\n17\n18\n17\n17\n8\n8\n15\n13\n",
"20\n9 11 0\n1 5 0\n1 14 0\n5 17 0\n14 3 0\n16 6 0\n9 2 0\n6 4 0\n11 10 0\n12 7 0\n8 18 0\n13 1 0\n18 11 0\n8 6 0\n5 10 0\n5 15 0\n2 20 0\n19 13 0\n7 17 0\n20\n18\n11\n11\n17\n14\n5\n5\n10\n10\n4\n8\n18\n17\n18\n17\n17\n8\n8\n15\n17\n",
"20\n9 12 0\n1 5 0\n1 14 0\n8 17 0\n14 3 0\n16 6 0\n9 2 0\n6 4 0\n11 10 0\n12 7 0\n8 18 0\n13 1 0\n18 11 0\n8 6 0\n5 10 0\n5 15 0\n2 20 0\n19 17 0\n7 17 0\n12\n18\n11\n11\n9\n14\n5\n5\n10\n10\n4\n8\n18\n17\n18\n17\n17\n8\n8\n15\n17\n",
"20\n9 11 0\n1 5 0\n1 14 0\n8 17 0\n14 3 0\n16 6 0\n9 2 0\n6 4 0\n11 10 0\n12 7 0\n8 18 0\n13 1 0\n18 11 0\n8 6 0\n5 10 0\n5 15 0\n2 20 0\n19 17 1\n12 17 0\n20\n18\n11\n11\n9\n14\n5\n5\n10\n10\n4\n8\n2\n17\n18\n17\n17\n8\n8\n15\n17\n",
"20\n9 11 0\n1 5 0\n1 14 0\n5 17 0\n14 3 0\n16 6 0\n9 2 0\n6 4 0\n11 10 0\n12 7 0\n8 18 0\n13 1 0\n8 11 0\n8 6 0\n5 10 1\n5 15 0\n2 20 0\n19 17 0\n7 17 0\n20\n9\n11\n11\n14\n14\n5\n5\n10\n10\n4\n4\n18\n17\n18\n17\n17\n8\n8\n15\n18\n",
"10\n5 7 0\n4 10 1\n1 5 0\n6 8 1\n4 9 1\n2 5 0\n10 8 0\n4 3 1\n4 2 1\n10\n9\n9\n9\n5\n2\n5\n7\n2\n3\n2\n",
"20\n9 11 0\n1 5 0\n1 14 0\n5 17 1\n14 3 0\n16 6 0\n9 2 0\n6 4 0\n11 10 0\n12 7 0\n8 18 0\n13 1 0\n18 11 0\n8 6 0\n5 10 0\n5 15 0\n2 20 0\n19 17 0\n7 17 0\n20\n9\n11\n11\n9\n14\n5\n5\n10\n10\n4\n8\n18\n17\n18\n11\n17\n8\n8\n15\n13\n",
"20\n9 12 0\n1 5 0\n1 14 0\n8 17 0\n14 3 0\n16 6 0\n12 2 0\n6 4 0\n11 10 0\n12 7 0\n8 18 0\n13 1 0\n18 11 0\n8 6 0\n5 10 0\n5 15 0\n2 20 0\n19 17 0\n7 17 0\n12\n18\n11\n11\n9\n14\n5\n5\n10\n10\n4\n8\n18\n17\n18\n17\n17\n8\n8\n15\n17\n",
"20\n9 11 0\n1 5 0\n1 14 0\n8 17 0\n14 3 0\n16 6 0\n9 2 0\n6 4 0\n11 10 0\n12 7 0\n8 18 0\n13 1 0\n18 11 0\n8 6 0\n5 10 0\n5 15 0\n2 20 0\n19 17 1\n12 17 0\n20\n18\n11\n11\n9\n14\n5\n5\n10\n10\n4\n2\n2\n17\n18\n17\n17\n8\n8\n15\n17\n",
"20\n9 12 0\n1 5 0\n1 14 0\n8 17 0\n14 3 0\n16 6 0\n12 2 0\n6 4 0\n11 10 0\n12 7 0\n8 18 0\n13 1 0\n18 11 0\n8 6 0\n5 10 0\n5 15 0\n2 20 1\n19 17 0\n7 17 0\n12\n18\n11\n11\n9\n14\n5\n5\n10\n10\n4\n8\n18\n17\n18\n17\n17\n8\n8\n15\n17\n",
"5\n2 4 0\n5 2 0\n1 3 1\n1 2 1\n2\n3\n3\n4\n1\n1\n",
"20\n9 11 0\n1 5 0\n1 14 0\n5 17 0\n14 3 0\n16 6 0\n9 2 0\n11 4 0\n11 10 0\n12 7 0\n8 18 0\n13 1 0\n18 11 0\n8 6 0\n5 10 0\n5 15 0\n2 20 0\n19 17 0\n7 17 0\n20\n9\n11\n11\n14\n14\n5\n5\n10\n10\n4\n4\n18\n17\n18\n17\n17\n8\n8\n15\n17\n",
"20\n9 11 0\n1 5 0\n1 14 0\n5 17 0\n14 3 0\n16 6 0\n9 2 0\n6 4 0\n11 10 0\n12 7 0\n8 18 0\n13 1 0\n18 11 0\n8 6 0\n5 10 0\n5 15 0\n2 20 0\n19 17 0\n7 17 0\n20\n9\n11\n9\n14\n14\n5\n5\n10\n10\n4\n4\n18\n17\n18\n17\n17\n8\n8\n15\n17\n",
"20\n9 11 0\n1 5 0\n1 14 0\n5 17 0\n14 3 0\n16 6 0\n9 2 0\n6 4 0\n11 10 0\n12 7 0\n8 18 0\n13 1 0\n18 11 0\n8 6 0\n5 10 0\n5 15 0\n2 20 0\n19 17 0\n7 17 0\n20\n1\n11\n11\n9\n14\n5\n5\n10\n10\n4\n8\n18\n17\n18\n17\n17\n8\n8\n15\n17\n",
"20\n9 11 0\n1 5 0\n1 14 0\n8 17 0\n16 3 0\n16 6 0\n9 2 0\n6 4 0\n11 10 0\n12 7 0\n8 18 0\n13 1 0\n18 11 0\n8 6 0\n5 10 0\n5 15 0\n2 20 0\n19 17 0\n7 17 0\n20\n18\n11\n11\n9\n14\n5\n5\n10\n10\n4\n8\n18\n17\n18\n17\n17\n8\n8\n15\n17\n",
"20\n9 11 0\n1 5 0\n1 14 0\n8 17 0\n14 3 0\n16 6 0\n9 2 0\n6 4 0\n11 10 0\n12 7 0\n8 18 0\n13 1 0\n18 11 0\n8 6 0\n5 10 0\n5 15 0\n2 20 0\n19 17 0\n7 17 0\n20\n18\n11\n11\n9\n14\n5\n5\n12\n10\n4\n8\n2\n17\n18\n17\n17\n8\n8\n15\n17\n",
"20\n9 11 0\n1 5 0\n1 14 0\n5 17 0\n14 3 0\n16 6 0\n9 2 0\n6 4 0\n11 10 0\n12 7 0\n8 18 0\n13 1 0\n18 11 0\n8 6 0\n5 10 0\n5 15 0\n2 20 0\n19 17 0\n7 17 0\n20\n9\n11\n11\n9\n14\n5\n5\n10\n10\n4\n8\n18\n17\n18\n17\n17\n8\n8\n15\n13\n",
"20\n9 11 0\n1 5 0\n1 14 0\n8 17 0\n14 3 0\n16 6 0\n9 2 0\n6 4 0\n11 10 0\n12 7 0\n8 18 0\n13 1 0\n18 11 0\n8 6 0\n5 10 0\n5 15 0\n2 20 0\n19 17 0\n12 17 0\n20\n18\n11\n11\n9\n14\n5\n5\n10\n10\n4\n8\n2\n17\n18\n17\n17\n8\n8\n15\n17\n",
"10\n5 7 0\n4 10 1\n1 5 0\n6 8 1\n4 9 1\n2 5 1\n10 8 0\n4 3 1\n4 2 1\n10\n9\n9\n9\n5\n2\n5\n7\n2\n3\n2\n",
"5\n1 2 0\n1 3 1\n3 5 0\n3 4 0\n3\n3\n4\n1\n6\n4\n",
"20\n9 11 0\n1 5 0\n1 14 0\n5 17 1\n14 3 0\n16 6 0\n9 2 0\n6 4 0\n11 10 0\n12 7 0\n8 18 0\n13 1 0\n18 11 0\n8 6 0\n5 10 0\n5 15 0\n2 20 0\n19 17 0\n7 17 0\n20\n9\n11\n11\n9\n14\n5\n5\n10\n10\n4\n8\n18\n17\n18\n11\n17\n5\n8\n15\n13\n",
"20\n9 12 0\n1 5 0\n1 14 0\n8 17 0\n14 3 0\n16 6 0\n12 2 0\n6 4 0\n11 10 0\n12 7 0\n8 18 0\n13 1 0\n18 11 0\n8 6 0\n5 10 0\n5 15 0\n2 20 1\n19 17 0\n7 17 0\n12\n18\n11\n11\n9\n14\n5\n5\n10\n10\n4\n8\n18\n17\n18\n17\n17\n8\n8\n18\n17\n",
"20\n9 12 0\n1 5 0\n1 14 0\n8 17 0\n14 3 0\n16 11 0\n12 2 0\n6 4 0\n11 10 0\n12 7 0\n8 18 0\n13 1 0\n18 11 0\n8 6 0\n5 10 0\n5 15 0\n2 20 1\n19 17 0\n7 17 0\n12\n18\n11\n11\n9\n14\n5\n5\n10\n10\n4\n8\n18\n17\n18\n17\n17\n8\n8\n18\n17\n"
],
"output": [
"3\n2\n3\n3\n2\n",
"2\n3\n2\n3\n2\n",
"5\n5\n5\n5\n5\n4\n5\n4\n5\n5\n",
"1\n0\n1\n0\n1\n0\n1\n0\n1\n0\n",
"7\n9\n7\n9\n7\n9\n7\n9\n7\n9\n7\n8\n8\n8\n7\n8\n9\n8\n9\n9\n",
"6\n4\n6\n6\n4\n4\n6\n4\n6\n6\n",
"7\n9\n7\n9\n7\n9\n7\n9\n7\n9\n9\n9\n9\n9\n9\n9\n9\n9\n9\n9\n",
"7\n9\n7\n9\n8\n9\n8\n9\n8\n9\n9\n9\n9\n9\n9\n9\n9\n9\n9\n9\n",
"9\n8\n9\n8\n9\n9\n9\n9\n9\n9\n9\n9\n9\n9\n9\n9\n9\n9\n9\n9\n",
"10\n9\n10\n9\n9\n10\n9\n10\n9\n10\n10\n10\n10\n10\n10\n10\n10\n10\n9\n9\n",
"10\n9\n10\n9\n9\n10\n9\n10\n9\n10\n10\n9\n9\n9\n9\n9\n8\n9\n10\n10\n",
"9\n8\n9\n8\n9\n9\n9\n9\n9\n9\n9\n9\n9\n9\n9\n9\n9\n9\n8\n7\n",
"10\n9\n10\n9\n9\n10\n9\n10\n9\n10\n10\n9\n9\n9\n9\n9\n9\n9\n10\n10\n",
"2\n3\n2\n3\n3\n",
"3\n2\n3\n",
"5\n6\n5\n5\n6\n6\n5\n6\n6\n6\n",
"8\n10\n8\n9\n8\n10\n8\n10\n8\n10\n10\n10\n10\n10\n10\n10\n10\n10\n9\n9\n",
"9\n8\n9\n9\n8\n9\n8\n9\n8\n9\n9\n9\n9\n9\n9\n9\n9\n9\n9\n9\n",
"10\n9\n10\n9\n9\n10\n9\n10\n9\n10\n10\n10\n",
"8\n8\n8\n8\n8\n8\n8\n8\n8\n8\n8\n8\n8\n8\n8\n8\n8\n8\n8\n6\n",
"3\n3\n2\n",
"8\n11\n8\n10\n8\n11\n8\n11\n8\n11\n11\n11\n11\n11\n11\n11\n11\n11\n9\n9\n",
"9\n9\n9\n9\n9\n9\n9\n8\n9\n8\n9\n9\n9\n9\n9\n9\n7\n9\n9\n9\n",
"9\n9\n9\n9\n9\n9\n9\n9\n9\n9\n9\n9\n9\n9\n9\n9\n9\n9\n9\n9\n",
"13\n9\n13\n9\n9\n13\n9\n13\n9\n13\n13\n13\n",
"10\n8\n10\n8\n9\n10\n9\n10\n9\n10\n10\n9\n9\n9\n9\n9\n9\n9\n10\n10\n",
"8\n8\n8\n8\n8\n8\n8\n8\n8\n8\n8\n8\n8\n8\n8\n8\n8\n8\n8\n8\n",
"6\n5\n6\n6\n5\n5\n6\n5\n6\n6\n",
"9\n9\n9\n9\n9\n9\n9\n8\n9\n8\n9\n9\n9\n9\n9\n9\n9\n9\n9\n9\n",
"12\n9\n12\n9\n9\n12\n9\n12\n9\n12\n12\n12\n",
"10\n8\n10\n8\n9\n10\n9\n10\n9\n10\n8\n10\n10\n10\n10\n10\n10\n10\n9\n9\n",
"11\n12\n11\n12\n12\n11\n12\n11\n12\n11\n11\n11\n",
"2\n3\n",
"7\n9\n7\n9\n7\n9\n7\n9\n7\n9\n7\n8\n8\n8\n7\n8\n8\n8\n9\n9\n",
"7\n9\n8\n9\n8\n9\n8\n9\n8\n9\n8\n8\n8\n7\n8\n7\n9\n7\n9\n9\n",
"9\n7\n9\n8\n9\n9\n9\n9\n9\n9\n9\n9\n9\n9\n9\n9\n9\n9\n9\n9\n",
"9\n8\n9\n8\n9\n8\n9\n9\n9\n9\n9\n9\n9\n9\n9\n9\n9\n9\n8\n8\n",
"10\n9\n10\n9\n9\n10\n9\n9\n10\n9\n9\n10\n10\n10\n10\n10\n10\n10\n9\n9\n",
"7\n9\n7\n9\n8\n9\n8\n9\n8\n9\n9\n9\n9\n9\n9\n9\n9\n9\n9\n9\n",
"10\n9\n10\n9\n9\n10\n9\n10\n9\n10\n10\n9\n9\n9\n9\n9\n8\n9\n10\n10\n",
"5\n6\n5\n5\n6\n6\n5\n6\n6\n6\n",
"3\n3\n2\n",
"9\n9\n9\n9\n9\n9\n9\n8\n9\n8\n9\n9\n9\n9\n9\n9\n9\n9\n9\n9\n",
"11\n12\n11\n12\n12\n11\n12\n11\n12\n11\n11\n11\n",
"11\n12\n11\n12\n12\n11\n12\n11\n12\n11\n11\n11\n"
]
} | 2CODEFORCES
|
145_B. Lucky Number 2_38218 | Petya loves lucky numbers very much. Everybody knows that lucky numbers are positive integers whose decimal record contains only the lucky digits 4 and 7. For example, numbers 47, 744, 4 are lucky and 5, 17, 467 are not.
Petya loves long lucky numbers very much. He is interested in the minimum lucky number d that meets some condition. Let cnt(x) be the number of occurrences of number x in number d as a substring. For example, if d = 747747, then cnt(4) = 2, cnt(7) = 4, cnt(47) = 2, cnt(74) = 2. Petya wants the following condition to fulfil simultaneously: cnt(4) = a1, cnt(7) = a2, cnt(47) = a3, cnt(74) = a4. Petya is not interested in the occurrences of other numbers. Help him cope with this task.
Input
The single line contains four integers a1, a2, a3 and a4 (1 ≤ a1, a2, a3, a4 ≤ 106).
Output
On the single line print without leading zeroes the answer to the problem — the minimum lucky number d such, that cnt(4) = a1, cnt(7) = a2, cnt(47) = a3, cnt(74) = a4. If such number does not exist, print the single number "-1" (without the quotes).
Examples
Input
2 2 1 1
Output
4774
Input
4 7 3 1
Output
-1 | a, b, c, d = map(int, raw_input().split())
if max(c, d) - min(c, d) >= 2 or min(a, b) < max(c, d):
print -1
exit()
if max(c, d) == 0:
if a > 0 and b > 0:
print -1
else:
print '4' * a + '7' * b
else:
if c == d:
if max(a, b) == c:
print -1
elif a == c:
print '7' + '4' * (a - c) + '47' * c + '7' * (b - c - 1)
else:
print '4' * (a - c - 1) + '47' * c + '7' * (b - c) + '4'
else:
if c > d:
print '4' * (a - c) + '47' * c + '7' * (b - c)
elif d > 1:
print '7' + '4' * (a - c - 1) + '47' * c + '7' * (b - c - 1) + '4'
else:
print '7' * b + '4' * a
| 1Python2
| {
"input": [
"4 7 3 1\n",
"2 2 1 1\n",
"3 3 2 2\n",
"69 84 25 24\n",
"4 4 2 2\n",
"4 58458 2 1\n",
"8 3 2 1\n",
"25 94 11 12\n",
"45 65 31 32\n",
"1 1000 2 1\n",
"4 3 2 1\n",
"2 100000 1 2\n",
"4 4 1 1\n",
"2 1 3 1\n",
"6 6 1 3\n",
"10 10 1 2\n",
"1 4 1 1\n",
"10 10 3 7\n",
"100 100 4 5\n",
"57 59 3 4\n",
"7 1000 1 2\n",
"2 2 2 2\n",
"4 7 2 1\n",
"4585 4588 98 99\n",
"10 11 10 10\n",
"54585 4584 458 954\n",
"5 10 2 3\n",
"1 2 2 1\n",
"4 4 3 3\n",
"47 74 8 9\n",
"1 1 1 2\n",
"1 1 1 1\n",
"3 3 1 1\n",
"6 8 1 1\n",
"2 2 2 1\n",
"30 30 29 29\n",
"10 10 2 2\n",
"2 5 2 2\n",
"100 200 5 5\n",
"4585 4588 98 99\n",
"1 2 1 1\n",
"4 7 4 7\n",
"2 1 2 1\n",
"1 3 1 1\n",
"98654 4844 1001 1000\n",
"1 7 1 1\n",
"6 10 2 1\n",
"2 2 1 2\n",
"7 7 4 5\n",
"74544 1 1 1\n",
"2 3 2 2\n",
"70 60 20 21\n",
"7 1000 1 2\n",
"5 5 2 1\n",
"98654 4844 1001 1000\n",
"7 8 5 4\n",
"86451 754 85 84\n",
"74544 1 1 1\n",
"1 9 2 2\n",
"4584 45854 25 685\n",
"1 10 1 2\n",
"3 2 1 2\n",
"1000000 1000000 1000000 1000000\n",
"31 32 30 31\n",
"2 100000 1 2\n",
"1 10 1 1\n",
"6 6 2 3\n",
"10 9 4 5\n",
"7 3 1 1\n",
"10 10 3 5\n",
"3 4 3 3\n",
"2 2 3 4\n",
"845 8549 54 8\n",
"10 11 1 1\n",
"10 100 2 2\n",
"10 10 5 5\n",
"100 200 5 5\n",
"4 58458 2 1\n",
"2 1 1 1\n",
"7 7 1 1\n",
"1 1000000 4 5\n",
"5 5 1 2\n",
"3 1000000 3 1\n",
"86451 754 85 84\n",
"3 3 2 4\n",
"5 58458 2 1\n",
"26 94 11 12\n",
"73 65 31 32\n",
"10 15 1 2\n",
"2 4 1 1\n",
"4585 5112 98 99\n",
"11 11 10 10\n",
"5 10 4 3\n",
"47 103 8 9\n",
"4 2 2 1\n",
"3 4 1 1\n",
"8 8 1 1\n",
"2 4 1 2\n",
"19 10 2 2\n",
"100 60 5 5\n",
"6170 4844 1001 1000\n",
"6 10 2 2\n",
"6 7 4 5\n",
"7 1000 1 1\n",
"98654 4844 1001 1001\n",
"51073 754 85 84\n",
"3 2 2 2\n",
"31 60 30 31\n",
"2 100000 2 2\n",
"1 8 1 1\n",
"6 6 4 3\n",
"5 9 4 5\n",
"7 3 1 2\n",
"10 10 6 5\n",
"3 4 3 2\n",
"69 84 50 24\n",
"4 4 0 2\n",
"8 3 4 1\n",
"1 1000 3 1\n",
"0 3 2 1\n",
"2 000000 1 2\n",
"4 0 1 1\n",
"2 0 3 1\n",
"6 10 1 3\n",
"13 10 3 7\n",
"000 100 4 5\n",
"57 59 2 4\n",
"7 1000 1 4\n",
"2 1 2 2\n",
"54585 4584 8 954\n",
"1 0 2 1\n",
"4 2 3 3\n",
"30 30 29 0\n",
"2 5 4 2\n",
"4585 4588 59 99\n",
"1 3 2 1\n",
"4 7 5 7\n",
"2 0 2 1\n",
"2 1 1 2\n",
"74544 0 1 1\n",
"0 3 2 2\n",
"70 60 35 21\n",
"5 1 2 1\n",
"1 8 5 4\n",
"1 9 2 4\n",
"133 45854 25 685\n",
"1 14 1 2\n",
"1000000 1000000 1000000 1000100\n",
"2 3 3 4\n"
],
"output": [
"-1",
"4774",
"474774",
"444444444444444444444444444444444444444444444747474747474747474747474747474747474747474747474777777777777777777777777777777777777777777777777777777777777",
"44747774",
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"-1\n",
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777\n",
"747777777\n",
"444747474777\n",
"74747474777774\n",
"7444444774\n",
"44444747474747477777\n",
"4747477\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n"
]
} | 2CODEFORCES
|
145_B. Lucky Number 2_38219 | Petya loves lucky numbers very much. Everybody knows that lucky numbers are positive integers whose decimal record contains only the lucky digits 4 and 7. For example, numbers 47, 744, 4 are lucky and 5, 17, 467 are not.
Petya loves long lucky numbers very much. He is interested in the minimum lucky number d that meets some condition. Let cnt(x) be the number of occurrences of number x in number d as a substring. For example, if d = 747747, then cnt(4) = 2, cnt(7) = 4, cnt(47) = 2, cnt(74) = 2. Petya wants the following condition to fulfil simultaneously: cnt(4) = a1, cnt(7) = a2, cnt(47) = a3, cnt(74) = a4. Petya is not interested in the occurrences of other numbers. Help him cope with this task.
Input
The single line contains four integers a1, a2, a3 and a4 (1 ≤ a1, a2, a3, a4 ≤ 106).
Output
On the single line print without leading zeroes the answer to the problem — the minimum lucky number d such, that cnt(4) = a1, cnt(7) = a2, cnt(47) = a3, cnt(74) = a4. If such number does not exist, print the single number "-1" (without the quotes).
Examples
Input
2 2 1 1
Output
4774
Input
4 7 3 1
Output
-1 | #include <bits/stdc++.h>
using namespace std;
int main(int argc, char const *argv[]) {
int a1, a2, a3, a4;
cin >> a1 >> a2 >> a3 >> a4;
string s = "";
if (abs(a3 - a4) > 1 || min(a1, a2) < max(a3, a4) ||
(a3 == a4 && max(a1, a2) <= a3)) {
cout << -1;
return 0;
} else {
if (a3 > a4) {
while (a3--) {
s += '4';
s += '7';
a1--;
a2--;
}
} else if (a3 < a4) {
while (a4--) {
s += '7';
s += '4';
a1--;
a2--;
}
} else {
if (a1 == a3) {
s += '7';
a2--;
while (a3--) {
s += '4';
s += '7';
a1--;
a2--;
}
} else {
s += '4';
a1--;
while (a3--) {
s += '7';
s += '4';
a1--;
a2--;
}
}
}
}
if (s[s.length() - 1] == '4') {
for (int i = 0; i < s.length() - 1; i++) {
if (s[i] == '4' && a1) {
while (a1 > 0) {
cout << '4';
a1--;
}
}
cout << s[i];
}
while (a2 > 0) {
cout << '7';
a2--;
}
cout << 4;
} else {
while (a2 > 0) {
s += '7';
a2--;
}
for (int i = 0; i < s.length(); i++) {
if (s[i] == '4') {
while (a1 > 0) {
cout << '4';
a1--;
}
}
cout << s[i];
}
}
return 0;
}
| 2C++
| {
"input": [
"4 7 3 1\n",
"2 2 1 1\n",
"3 3 2 2\n",
"69 84 25 24\n",
"4 4 2 2\n",
"4 58458 2 1\n",
"8 3 2 1\n",
"25 94 11 12\n",
"45 65 31 32\n",
"1 1000 2 1\n",
"4 3 2 1\n",
"2 100000 1 2\n",
"4 4 1 1\n",
"2 1 3 1\n",
"6 6 1 3\n",
"10 10 1 2\n",
"1 4 1 1\n",
"10 10 3 7\n",
"100 100 4 5\n",
"57 59 3 4\n",
"7 1000 1 2\n",
"2 2 2 2\n",
"4 7 2 1\n",
"4585 4588 98 99\n",
"10 11 10 10\n",
"54585 4584 458 954\n",
"5 10 2 3\n",
"1 2 2 1\n",
"4 4 3 3\n",
"47 74 8 9\n",
"1 1 1 2\n",
"1 1 1 1\n",
"3 3 1 1\n",
"6 8 1 1\n",
"2 2 2 1\n",
"30 30 29 29\n",
"10 10 2 2\n",
"2 5 2 2\n",
"100 200 5 5\n",
"4585 4588 98 99\n",
"1 2 1 1\n",
"4 7 4 7\n",
"2 1 2 1\n",
"1 3 1 1\n",
"98654 4844 1001 1000\n",
"1 7 1 1\n",
"6 10 2 1\n",
"2 2 1 2\n",
"7 7 4 5\n",
"74544 1 1 1\n",
"2 3 2 2\n",
"70 60 20 21\n",
"7 1000 1 2\n",
"5 5 2 1\n",
"98654 4844 1001 1000\n",
"7 8 5 4\n",
"86451 754 85 84\n",
"74544 1 1 1\n",
"1 9 2 2\n",
"4584 45854 25 685\n",
"1 10 1 2\n",
"3 2 1 2\n",
"1000000 1000000 1000000 1000000\n",
"31 32 30 31\n",
"2 100000 1 2\n",
"1 10 1 1\n",
"6 6 2 3\n",
"10 9 4 5\n",
"7 3 1 1\n",
"10 10 3 5\n",
"3 4 3 3\n",
"2 2 3 4\n",
"845 8549 54 8\n",
"10 11 1 1\n",
"10 100 2 2\n",
"10 10 5 5\n",
"100 200 5 5\n",
"4 58458 2 1\n",
"2 1 1 1\n",
"7 7 1 1\n",
"1 1000000 4 5\n",
"5 5 1 2\n",
"3 1000000 3 1\n",
"86451 754 85 84\n",
"3 3 2 4\n",
"5 58458 2 1\n",
"26 94 11 12\n",
"73 65 31 32\n",
"10 15 1 2\n",
"2 4 1 1\n",
"4585 5112 98 99\n",
"11 11 10 10\n",
"5 10 4 3\n",
"47 103 8 9\n",
"4 2 2 1\n",
"3 4 1 1\n",
"8 8 1 1\n",
"2 4 1 2\n",
"19 10 2 2\n",
"100 60 5 5\n",
"6170 4844 1001 1000\n",
"6 10 2 2\n",
"6 7 4 5\n",
"7 1000 1 1\n",
"98654 4844 1001 1001\n",
"51073 754 85 84\n",
"3 2 2 2\n",
"31 60 30 31\n",
"2 100000 2 2\n",
"1 8 1 1\n",
"6 6 4 3\n",
"5 9 4 5\n",
"7 3 1 2\n",
"10 10 6 5\n",
"3 4 3 2\n",
"69 84 50 24\n",
"4 4 0 2\n",
"8 3 4 1\n",
"1 1000 3 1\n",
"0 3 2 1\n",
"2 000000 1 2\n",
"4 0 1 1\n",
"2 0 3 1\n",
"6 10 1 3\n",
"13 10 3 7\n",
"000 100 4 5\n",
"57 59 2 4\n",
"7 1000 1 4\n",
"2 1 2 2\n",
"54585 4584 8 954\n",
"1 0 2 1\n",
"4 2 3 3\n",
"30 30 29 0\n",
"2 5 4 2\n",
"4585 4588 59 99\n",
"1 3 2 1\n",
"4 7 5 7\n",
"2 0 2 1\n",
"2 1 1 2\n",
"74544 0 1 1\n",
"0 3 2 2\n",
"70 60 35 21\n",
"5 1 2 1\n",
"1 8 5 4\n",
"1 9 2 4\n",
"133 45854 25 685\n",
"1 14 1 2\n",
"1000000 1000000 1000000 1000100\n",
"2 3 3 4\n"
],
"output": [
"-1",
"4774",
"474774",
"444444444444444444444444444444444444444444444747474747474747474747474747474747474747474747474777777777777777777777777777777777777777777777777777777777777",
"44747774",
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"-1\n",
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777\n",
"747777777\n",
"444747474777\n",
"74747474777774\n",
"7444444774\n",
"44444747474747477777\n",
"4747477\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n"
]
} | 2CODEFORCES
|
145_B. Lucky Number 2_38220 | Petya loves lucky numbers very much. Everybody knows that lucky numbers are positive integers whose decimal record contains only the lucky digits 4 and 7. For example, numbers 47, 744, 4 are lucky and 5, 17, 467 are not.
Petya loves long lucky numbers very much. He is interested in the minimum lucky number d that meets some condition. Let cnt(x) be the number of occurrences of number x in number d as a substring. For example, if d = 747747, then cnt(4) = 2, cnt(7) = 4, cnt(47) = 2, cnt(74) = 2. Petya wants the following condition to fulfil simultaneously: cnt(4) = a1, cnt(7) = a2, cnt(47) = a3, cnt(74) = a4. Petya is not interested in the occurrences of other numbers. Help him cope with this task.
Input
The single line contains four integers a1, a2, a3 and a4 (1 ≤ a1, a2, a3, a4 ≤ 106).
Output
On the single line print without leading zeroes the answer to the problem — the minimum lucky number d such, that cnt(4) = a1, cnt(7) = a2, cnt(47) = a3, cnt(74) = a4. If such number does not exist, print the single number "-1" (without the quotes).
Examples
Input
2 2 1 1
Output
4774
Input
4 7 3 1
Output
-1 | a1,a2,a3,a4=map(int,input().split())
L=[]
def Solve(a1,a2,a3,a4):
if(a3-a4<-1 or a3-a4>1 or a1<a3 or a1<a4 or a2<a3 or a2<a4):
return -1
elif(a3-a4==0):
Ans="47"*a3
Ans+="4"
if(a1-a3==0 and a2-a4==0):
return -1
elif(a1-a3==0):
return "74"*a3+"7"*(a2-a4)
return "4"*(a1-a3-1)+Ans[:len(Ans)-1]+"7"*(a2-a4)+"4"
elif(a3-a4==1):
if(a2==a4):
return -1
Ans="47"*a3
Ans="4"*(a1-a3)+Ans+"7"*(a2-a4-1)
return Ans
else:
if(a3==a1):
return -1
Ans="74"*a4
Ans="7"+"4"*(a1-a3-1)+Ans[1:len(Ans)-1]+"7"*(a2-a4)+"4"
return Ans
print(Solve(a1,a2,a3,a4))
# Made By Mostafa_Khaled | 3Python3
| {
"input": [
"4 7 3 1\n",
"2 2 1 1\n",
"3 3 2 2\n",
"69 84 25 24\n",
"4 4 2 2\n",
"4 58458 2 1\n",
"8 3 2 1\n",
"25 94 11 12\n",
"45 65 31 32\n",
"1 1000 2 1\n",
"4 3 2 1\n",
"2 100000 1 2\n",
"4 4 1 1\n",
"2 1 3 1\n",
"6 6 1 3\n",
"10 10 1 2\n",
"1 4 1 1\n",
"10 10 3 7\n",
"100 100 4 5\n",
"57 59 3 4\n",
"7 1000 1 2\n",
"2 2 2 2\n",
"4 7 2 1\n",
"4585 4588 98 99\n",
"10 11 10 10\n",
"54585 4584 458 954\n",
"5 10 2 3\n",
"1 2 2 1\n",
"4 4 3 3\n",
"47 74 8 9\n",
"1 1 1 2\n",
"1 1 1 1\n",
"3 3 1 1\n",
"6 8 1 1\n",
"2 2 2 1\n",
"30 30 29 29\n",
"10 10 2 2\n",
"2 5 2 2\n",
"100 200 5 5\n",
"4585 4588 98 99\n",
"1 2 1 1\n",
"4 7 4 7\n",
"2 1 2 1\n",
"1 3 1 1\n",
"98654 4844 1001 1000\n",
"1 7 1 1\n",
"6 10 2 1\n",
"2 2 1 2\n",
"7 7 4 5\n",
"74544 1 1 1\n",
"2 3 2 2\n",
"70 60 20 21\n",
"7 1000 1 2\n",
"5 5 2 1\n",
"98654 4844 1001 1000\n",
"7 8 5 4\n",
"86451 754 85 84\n",
"74544 1 1 1\n",
"1 9 2 2\n",
"4584 45854 25 685\n",
"1 10 1 2\n",
"3 2 1 2\n",
"1000000 1000000 1000000 1000000\n",
"31 32 30 31\n",
"2 100000 1 2\n",
"1 10 1 1\n",
"6 6 2 3\n",
"10 9 4 5\n",
"7 3 1 1\n",
"10 10 3 5\n",
"3 4 3 3\n",
"2 2 3 4\n",
"845 8549 54 8\n",
"10 11 1 1\n",
"10 100 2 2\n",
"10 10 5 5\n",
"100 200 5 5\n",
"4 58458 2 1\n",
"2 1 1 1\n",
"7 7 1 1\n",
"1 1000000 4 5\n",
"5 5 1 2\n",
"3 1000000 3 1\n",
"86451 754 85 84\n",
"3 3 2 4\n",
"5 58458 2 1\n",
"26 94 11 12\n",
"73 65 31 32\n",
"10 15 1 2\n",
"2 4 1 1\n",
"4585 5112 98 99\n",
"11 11 10 10\n",
"5 10 4 3\n",
"47 103 8 9\n",
"4 2 2 1\n",
"3 4 1 1\n",
"8 8 1 1\n",
"2 4 1 2\n",
"19 10 2 2\n",
"100 60 5 5\n",
"6170 4844 1001 1000\n",
"6 10 2 2\n",
"6 7 4 5\n",
"7 1000 1 1\n",
"98654 4844 1001 1001\n",
"51073 754 85 84\n",
"3 2 2 2\n",
"31 60 30 31\n",
"2 100000 2 2\n",
"1 8 1 1\n",
"6 6 4 3\n",
"5 9 4 5\n",
"7 3 1 2\n",
"10 10 6 5\n",
"3 4 3 2\n",
"69 84 50 24\n",
"4 4 0 2\n",
"8 3 4 1\n",
"1 1000 3 1\n",
"0 3 2 1\n",
"2 000000 1 2\n",
"4 0 1 1\n",
"2 0 3 1\n",
"6 10 1 3\n",
"13 10 3 7\n",
"000 100 4 5\n",
"57 59 2 4\n",
"7 1000 1 4\n",
"2 1 2 2\n",
"54585 4584 8 954\n",
"1 0 2 1\n",
"4 2 3 3\n",
"30 30 29 0\n",
"2 5 4 2\n",
"4585 4588 59 99\n",
"1 3 2 1\n",
"4 7 5 7\n",
"2 0 2 1\n",
"2 1 1 2\n",
"74544 0 1 1\n",
"0 3 2 2\n",
"70 60 35 21\n",
"5 1 2 1\n",
"1 8 5 4\n",
"1 9 2 4\n",
"133 45854 25 685\n",
"1 14 1 2\n",
"1000000 1000000 1000000 1000100\n",
"2 3 3 4\n"
],
"output": [
"-1",
"4774",
"474774",
"444444444444444444444444444444444444444444444747474747474747474747474747474747474747474747474777777777777777777777777777777777777777777777777777777777777",
"44747774",
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"-1\n",
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777\n",
"747777777\n",
"444747474777\n",
"74747474777774\n",
"7444444774\n",
"44444747474747477777\n",
"4747477\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n"
]
} | 2CODEFORCES
|
145_B. Lucky Number 2_38221 | Petya loves lucky numbers very much. Everybody knows that lucky numbers are positive integers whose decimal record contains only the lucky digits 4 and 7. For example, numbers 47, 744, 4 are lucky and 5, 17, 467 are not.
Petya loves long lucky numbers very much. He is interested in the minimum lucky number d that meets some condition. Let cnt(x) be the number of occurrences of number x in number d as a substring. For example, if d = 747747, then cnt(4) = 2, cnt(7) = 4, cnt(47) = 2, cnt(74) = 2. Petya wants the following condition to fulfil simultaneously: cnt(4) = a1, cnt(7) = a2, cnt(47) = a3, cnt(74) = a4. Petya is not interested in the occurrences of other numbers. Help him cope with this task.
Input
The single line contains four integers a1, a2, a3 and a4 (1 ≤ a1, a2, a3, a4 ≤ 106).
Output
On the single line print without leading zeroes the answer to the problem — the minimum lucky number d such, that cnt(4) = a1, cnt(7) = a2, cnt(47) = a3, cnt(74) = a4. If such number does not exist, print the single number "-1" (without the quotes).
Examples
Input
2 2 1 1
Output
4774
Input
4 7 3 1
Output
-1 | import java.io.BufferedReader;
import java.io.BufferedWriter;
import java.io.FileNotFoundException;
import java.io.IOException;
import java.io.InputStream;
import java.io.InputStreamReader;
import java.io.OutputStreamWriter;
import java.io.PrintWriter;
import java.util.Arrays;
import java.util.StringTokenizer;
public class Main {
public static void main(String[] args) throws FileNotFoundException {
InputReader in = new InputReader(System.in);
PrintWriter out = new PrintWriter(new BufferedWriter(new OutputStreamWriter(System.out)));
TaskB solver = new TaskB();
solver.solve(1, in, out);
out.flush();
out.close();
}
}
class Pair implements Comparable<Pair> {
int first;
int second;
Pair(int first, int second) {
this.first = first;
this.second = second;
}
@Override
public int compareTo(Pair e) {
return Long.compare(second, e.second);
}
}
// didn't look at the editorial
// failed on test case when a[2]==a[3]
class TaskB {
long INF = (long) 1e9 + 7;
int MAX_N = (int) 1e5 + 5;
long mod = (long) 1e8;
void solve(int testNumber, InputReader in, PrintWriter pw) {
int a[] = new int[4];
for (int i = 0; i < 4; i++) {
a[i] = in.nextInt();
}
int diff = Math.abs(a[3] - a[2]);
if (diff > 1) {
pw.println(-1);
} else {
StringBuilder ans = new StringBuilder();
if (a[3] == a[2]) {
if (a[3] + 1 > a[0]) {
a[1] -= (a[3] + 1);
a[0] -= (a[3]);
if (a[0] < 0 || a[1] < 0) {
pw.println(-1);
return;
}
for (int i = 0; i < a[3]; i++) {
ans.append('7');
ans.append('4');
if (a[0] > 0) {
for (int k = 0; k < a[0]; k++) {
ans.append('4');
}
a[0] = 0;
}
}
ans.append('7');
if (a[1] > 0) {
for (int k = 0; k < a[1]; k++) {
ans.append('7');
}
a[1] = 0;
}
pw.println(ans);
} else {
a[1] -= (a[2]);
a[0] -= (a[2] + 1);
if (a[0] < 0 || a[1] < 0) {
pw.println(-1);
return;
}
for (int i = 0; i < a[2]; i++) {
ans.append('4');
if (a[0] > 0) {
for (int k = 0; k < a[0]; k++) {
ans.append('4');
}
a[0] = 0;
}
ans.append('7');
if (a[1] > 0 && i == a[2] - 1) {
for (int k = 0; k < a[1]; k++) {
ans.append('7');
}
a[1] = 0;
}
}
ans.append('4');
pw.println(ans);
}
} else {
if (a[2] > a[3]) {
a[1] -= (a[2]);
a[0] -= (a[2]);
if (a[0] < 0 || a[1] < 0) {
pw.println(-1);
return;
}
for (int i = 0; i < a[2]; i++) {
ans.append('4');
if (a[0] > 0) {
for (int k = 0; k < a[0]; k++) {
ans.append('4');
}
a[0] = 0;
}
ans.append('7');
if (a[1] > 0 && i == a[2] - 1) {
for (int k = 0; k < a[1]; k++) {
ans.append('7');
}
a[1] = 0;
}
}
pw.println(ans);
} else {
a[1] -= (a[3]);
a[0] -= (a[3]);
if (a[0] < 0 || a[1] < 0) {
pw.println(-1);
return;
}
for (int i = 0; i < a[3]; i++) {
ans.append('7');
if (a[1] > 0 && i == a[3] - 1) {
for (int k = 0; k < a[1]; k++) {
ans.append('7');
}
a[1] = 0;
}
ans.append('4');
if (a[0] > 0) {
for (int k = 0; k < a[0]; k++) {
ans.append('4');
}
a[0] = 0;
}
}
pw.println(ans);
}
}
}
}
int dist(int[] x, int[] y) {
return (x[0] - y[0]) * (x[0] - y[0]) + (x[1] - y[1]) * (x[1] - y[1]);
}
long gcd(long a, long b) {
if (b == 0) {
return a;
} else {
return gcd(b, a % b);
}
}
int[] shrink(int a[]) {
int n = a.length;
long b[] = new long[n];
for (int i = 0; i < n; i++) {
b[i] = ((long) (a[i] << 32)) | i;
}
Arrays.sort(b);
int ret[] = new int[n];
int p = 0;
for (int i = 0; i < n; i++) {
if (i > 0 && (b[i] ^ b[i - 1]) >> 32 != 0) {
p++;
}
ret[(int) b[i]] = p;
}
return ret;
}
int sum(int ft[], int i) {
int sum = 0;
for (int j = i; j >= 1; j -= (j & -j)) {
sum += ft[j];
// System.out.println(sum);
}
return sum;
}
void add(int ft[], int i, int x) {
for (int j = i; j < ft.length; j += (j & -j)) {
// System.out.println(j);
ft[j] += x;
}
}
boolean isValid(int i, int j, char arr[][]) {
if (i >= arr[0].length || j >= arr[0].length) {
return false;
}
if (arr[i][j] == '*') {
return false;
}
return true;
}
long pow(long m, long k) {
long prod = 1;
for (int i = 0; i < k; i++) {
prod = (prod * m) % INF;
}
return prod % INF;
}
// int sum(int k) {
// int sum=0;
// for(int i=k;i>=1;i) {
// sum+=ft[k];
// }
// }
long fib(int N) {
long fib[] = new long[N + 1];
fib[0] = 1;
fib[1] = 1;
for (int i = 2; i <= N; i++) {
fib[i] = (fib[i - 1] + fib[i - 2]) % mod;
}
return fib[N] % mod;
}
long sum(int i, int j, long arr[]) {
long sum = 0;
for (int k = i; k <= j; k++) {
sum += arr[k];
}
return sum;
}
int __gcd(int a, int b) {
if (b == 0)
return a;
return __gcd(b, a % b);
}
public int isPow(long num) {
int count = 0;
while (num > 0) {
num /= 2;
count++;
}
return count;
}
}
class InputReader {
BufferedReader br;
StringTokenizer st;
public InputReader(InputStream in) {
br = new BufferedReader(new InputStreamReader(in));
st = null;
}
public String next() {
while (st == null || !st.hasMoreTokens()) {
try {
st = new StringTokenizer(br.readLine());
} catch (IOException e) {
throw new RuntimeException(e);
}
}
return st.nextToken();
}
public int nextInt() {
return Integer.parseInt(next());
}
public long nextLong() {
return Long.parseLong(next());
}
public double nextDouble() {
return Double.parseDouble(next());
}
} | 4JAVA
| {
"input": [
"4 7 3 1\n",
"2 2 1 1\n",
"3 3 2 2\n",
"69 84 25 24\n",
"4 4 2 2\n",
"4 58458 2 1\n",
"8 3 2 1\n",
"25 94 11 12\n",
"45 65 31 32\n",
"1 1000 2 1\n",
"4 3 2 1\n",
"2 100000 1 2\n",
"4 4 1 1\n",
"2 1 3 1\n",
"6 6 1 3\n",
"10 10 1 2\n",
"1 4 1 1\n",
"10 10 3 7\n",
"100 100 4 5\n",
"57 59 3 4\n",
"7 1000 1 2\n",
"2 2 2 2\n",
"4 7 2 1\n",
"4585 4588 98 99\n",
"10 11 10 10\n",
"54585 4584 458 954\n",
"5 10 2 3\n",
"1 2 2 1\n",
"4 4 3 3\n",
"47 74 8 9\n",
"1 1 1 2\n",
"1 1 1 1\n",
"3 3 1 1\n",
"6 8 1 1\n",
"2 2 2 1\n",
"30 30 29 29\n",
"10 10 2 2\n",
"2 5 2 2\n",
"100 200 5 5\n",
"4585 4588 98 99\n",
"1 2 1 1\n",
"4 7 4 7\n",
"2 1 2 1\n",
"1 3 1 1\n",
"98654 4844 1001 1000\n",
"1 7 1 1\n",
"6 10 2 1\n",
"2 2 1 2\n",
"7 7 4 5\n",
"74544 1 1 1\n",
"2 3 2 2\n",
"70 60 20 21\n",
"7 1000 1 2\n",
"5 5 2 1\n",
"98654 4844 1001 1000\n",
"7 8 5 4\n",
"86451 754 85 84\n",
"74544 1 1 1\n",
"1 9 2 2\n",
"4584 45854 25 685\n",
"1 10 1 2\n",
"3 2 1 2\n",
"1000000 1000000 1000000 1000000\n",
"31 32 30 31\n",
"2 100000 1 2\n",
"1 10 1 1\n",
"6 6 2 3\n",
"10 9 4 5\n",
"7 3 1 1\n",
"10 10 3 5\n",
"3 4 3 3\n",
"2 2 3 4\n",
"845 8549 54 8\n",
"10 11 1 1\n",
"10 100 2 2\n",
"10 10 5 5\n",
"100 200 5 5\n",
"4 58458 2 1\n",
"2 1 1 1\n",
"7 7 1 1\n",
"1 1000000 4 5\n",
"5 5 1 2\n",
"3 1000000 3 1\n",
"86451 754 85 84\n",
"3 3 2 4\n",
"5 58458 2 1\n",
"26 94 11 12\n",
"73 65 31 32\n",
"10 15 1 2\n",
"2 4 1 1\n",
"4585 5112 98 99\n",
"11 11 10 10\n",
"5 10 4 3\n",
"47 103 8 9\n",
"4 2 2 1\n",
"3 4 1 1\n",
"8 8 1 1\n",
"2 4 1 2\n",
"19 10 2 2\n",
"100 60 5 5\n",
"6170 4844 1001 1000\n",
"6 10 2 2\n",
"6 7 4 5\n",
"7 1000 1 1\n",
"98654 4844 1001 1001\n",
"51073 754 85 84\n",
"3 2 2 2\n",
"31 60 30 31\n",
"2 100000 2 2\n",
"1 8 1 1\n",
"6 6 4 3\n",
"5 9 4 5\n",
"7 3 1 2\n",
"10 10 6 5\n",
"3 4 3 2\n",
"69 84 50 24\n",
"4 4 0 2\n",
"8 3 4 1\n",
"1 1000 3 1\n",
"0 3 2 1\n",
"2 000000 1 2\n",
"4 0 1 1\n",
"2 0 3 1\n",
"6 10 1 3\n",
"13 10 3 7\n",
"000 100 4 5\n",
"57 59 2 4\n",
"7 1000 1 4\n",
"2 1 2 2\n",
"54585 4584 8 954\n",
"1 0 2 1\n",
"4 2 3 3\n",
"30 30 29 0\n",
"2 5 4 2\n",
"4585 4588 59 99\n",
"1 3 2 1\n",
"4 7 5 7\n",
"2 0 2 1\n",
"2 1 1 2\n",
"74544 0 1 1\n",
"0 3 2 2\n",
"70 60 35 21\n",
"5 1 2 1\n",
"1 8 5 4\n",
"1 9 2 4\n",
"133 45854 25 685\n",
"1 14 1 2\n",
"1000000 1000000 1000000 1000100\n",
"2 3 3 4\n"
],
"output": [
"-1",
"4774",
"474774",
"444444444444444444444444444444444444444444444747474747474747474747474747474747474747474747474777777777777777777777777777777777777777777777777777777777777",
"44747774",
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"-1\n",
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777\n",
"747777777\n",
"444747474777\n",
"74747474777774\n",
"7444444774\n",
"44444747474747477777\n",
"4747477\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n"
]
} | 2CODEFORCES
|
1485_D. Multiples and Power Differences_38222 | You are given a matrix a consisting of positive integers. It has n rows and m columns.
Construct a matrix b consisting of positive integers. It should have the same size as a, and the following conditions should be met:
* 1 ≤ b_{i,j} ≤ 10^6;
* b_{i,j} is a multiple of a_{i,j};
* the absolute value of the difference between numbers in any adjacent pair of cells (two cells that share the same side) in b is equal to k^4 for some integer k ≥ 1 (k is not necessarily the same for all pairs, it is own for each pair).
We can show that the answer always exists.
Input
The first line contains two integers n and m (2 ≤ n,m ≤ 500).
Each of the following n lines contains m integers. The j-th integer in the i-th line is a_{i,j} (1 ≤ a_{i,j} ≤ 16).
Output
The output should contain n lines each containing m integers. The j-th integer in the i-th line should be b_{i,j}.
Examples
Input
2 2
1 2
2 3
Output
1 2
2 3
Input
2 3
16 16 16
16 16 16
Output
16 32 48
32 48 64
Input
2 2
3 11
12 8
Output
327 583
408 664
Note
In the first example, the matrix a can be used as the matrix b, because the absolute value of the difference between numbers in any adjacent pair of cells is 1 = 1^4.
In the third example:
* 327 is a multiple of 3, 583 is a multiple of 11, 408 is a multiple of 12, 664 is a multiple of 8;
* |408 - 327| = 3^4, |583 - 327| = 4^4, |664 - 408| = 4^4, |664 - 583| = 3^4. | from collections import Counter, defaultdict, deque
import bisect
from sys import stdin, stdout
from itertools import repeat
import math
def inp(force_list=False):
re = map(int, raw_input().split())
if len(re) == 1 and not force_list:
return re[0]
return re
def inst():
return raw_input().strip()
def gcd(x, y):
while(y):
x, y = y, x % y
return x
mod = int(1e9)+7
def quickm(a, b):
base = a
re = 1
while b:
if b&1:
re *= base
re %= mod
b >>= 1
base *= base
base %= mod
return re
def inv(num):
return quickm(num, mod-2)
def my_main():
kase = 1 #inp()
pans = []
for _ in range(kase):
n, m = inp()
da = []
for i in range(n):
da.append(inp())
for i in range(n):
ans = []
for j in range(m):
if (i+j)%2:
ans.append(720720)
else:
ans.append(720720+da[i][j]**4)
pans.append(' '.join(map(str, ans)))
print '\n'.join(pans)
my_main()
| 1Python2
| {
"input": [
"2 3\n16 16 16\n16 16 16\n",
"2 2\n1 2\n2 3\n",
"2 2\n3 11\n12 8\n",
"2 3\n16 16 11\n16 16 16\n",
"2 2\n1 2\n3 3\n",
"2 2\n6 11\n12 8\n",
"2 2\n1 2\n2 5\n",
"2 2\n1 2\n4 3\n",
"2 2\n1 1\n4 3\n",
"2 2\n1 1\n8 3\n",
"2 2\n6 10\n12 8\n",
"1 2\n1 2\n2 0\n",
"2 3\n7 16 5\n9 7 16\n",
"2 2\n0 3\n3 3\n",
"2 2\n6 10\n14 8\n",
"2 2\n1 1\n1 5\n",
"2 2\n1 1\n15 4\n",
"2 3\n0 16 5\n16 9 4\n",
"2 2\n0 1\n3 4\n",
"2 2\n4 7\n12 8\n",
"2 3\n7 16 5\n16 9 14\n",
"2 2\n6 9\n12 8\n",
"2 2\n1 1\n14 5\n",
"2 3\n0 16 5\n16 9 7\n",
"2 3\n12 16 16\n13 14 16\n",
"2 3\n16 16 17\n1 21 16\n",
"2 2\n3 11\n10 0\n",
"2 2\n4 7\n2 8\n",
"2 2\n1 2\n8 2\n",
"2 3\n16 16 15\n12 21 16\n",
"2 2\n6 1\n12 8\n",
"2 3\n12 16 16\n13 14 2\n",
"2 2\n1 2\n5 2\n",
"1 2\n1 4\n0 0\n",
"2 3\n12 15 16\n13 14 2\n",
"1 2\n0 3\n22 2\n",
"2 2\n1 4\n2 0\n",
"1 3\n7 16 5\n16 7 16\n",
"2 3\n16 3 11\n16 21 16\n",
"2 2\n6 10\n8 8\n",
"1 2\n1 1\n8 5\n",
"2 3\n0 16 5\n15 9 16\n",
"2 2\n1 1\n2 5\n",
"2 3\n0 16 5\n16 9 1\n",
"2 3\n3 16 24\n16 16 5\n",
"2 2\n1 1\n16 2\n",
"2 3\n12 4 16\n13 14 16\n",
"2 3\n16 16 15\n8 21 16\n",
"2 3\n12 15 16\n3 14 2\n",
"2 2\n0 2\n15 2\n",
"2 2\n4 11\n13 0\n",
"1 3\n7 11 5\n16 7 16\n",
"2 2\n5 7\n14 8\n",
"2 3\n0 16 5\n13 9 1\n",
"2 2\n1 2\n6 1\n",
"2 2\n5 9\n15 8\n",
"2 3\n7 16 10\n9 1 6\n",
"2 3\n3 9 30\n16 29 16\n",
"2 2\n1 4\n8 1\n",
"2 3\n16 16 15\n5 21 16\n",
"2 2\n0 2\n14 2\n",
"2 3\n0 16 16\n16 4 6\n",
"1 3\n0 14 5\n15 9 16\n",
"2 3\n16 10 14\n16 41 16\n",
"2 2\n5 7\n4 8\n",
"2 3\n24 16 1\n2 16 16\n",
"2 3\n3 14 30\n16 29 16\n",
"2 2\n-1 2\n7 2\n",
"2 2\n0 3\n14 2\n",
"2 3\n3 14 30\n9 29 16\n",
"2 3\n9 15 3\n16 8 16\n",
"2 3\n2 14 30\n3 22 16\n",
"2 3\n9 6 3\n16 8 16\n",
"2 3\n9 5 3\n16 8 16\n",
"2 3\n9 7 3\n16 8 16\n",
"2 2\n1 1\n6 4\n",
"2 3\n7 16 5\n3 7 16\n",
"2 3\n16 16 16\n16 14 11\n",
"2 3\n12 16 16\n16 14 8\n",
"2 2\n6 10\n9 8\n",
"2 2\n3 11\n16 0\n",
"2 2\n4 3\n12 8\n",
"2 3\n7 16 5\n16 9 3\n",
"2 2\n6 13\n12 8\n",
"2 3\n7 16 10\n9 7 2\n",
"2 2\n1 3\n4 3\n",
"2 2\n1 2\n1 1\n",
"2 3\n16 13 31\n1 21 16\n",
"2 2\n0 2\n10 2\n",
"2 2\n1 4\n5 3\n",
"2 3\n7 16 14\n16 9 9\n",
"2 3\n7 10 10\n9 1 16\n",
"1 2\n1 7\n0 0\n",
"1 2\n1 6\n35 0\n",
"2 3\n16 10 28\n16 16 7\n",
"2 2\n4 11\n15 0\n",
"2 2\n5 12\n14 8\n",
"2 3\n7 3 10\n9 1 6\n",
"2 2\n1 4\n1 1\n",
"2 3\n7 16 11\n16 16 16\n",
"2 3\n3 16 16\n16 16 16\n",
"2 2\n1 2\n2 0\n",
"2 2\n4 11\n12 8\n",
"2 3\n7 16 11\n16 9 16\n",
"2 3\n7 16 4\n16 9 16\n",
"2 3\n7 16 5\n16 9 16\n",
"2 3\n7 16 5\n16 7 16\n",
"2 3\n16 16 16\n16 14 16\n",
"2 3\n16 16 11\n16 21 16\n",
"2 2\n0 2\n3 3\n",
"2 2\n4 11\n12 4\n",
"2 2\n1 1\n8 5\n",
"2 2\n1 1\n8 4\n",
"2 3\n0 16 5\n16 9 16\n",
"2 3\n12 16 16\n16 14 16\n",
"2 3\n16 16 17\n16 21 16\n",
"1 2\n1 2\n2 -1\n",
"2 2\n0 3\n3 4\n",
"2 3\n16 16 0\n16 16 16\n",
"2 2\n3 11\n12 0\n",
"2 3\n3 16 24\n16 16 16\n",
"2 2\n1 2\n2 1\n",
"1 2\n1 2\n4 3\n",
"2 3\n7 16 4\n16 4 16\n",
"2 2\n1 1\n8 2\n",
"2 3\n16 16 15\n16 21 16\n",
"2 2\n0 2\n3 2\n",
"1 2\n1 2\n1 0\n",
"2 3\n7 16 10\n9 7 16\n",
"2 2\n1 3\n3 3\n",
"1 2\n1 2\n3 -1\n",
"2 2\n1 1\n1 4\n",
"2 3\n0 16 5\n16 13 4\n",
"2 3\n3 16 30\n16 16 16\n",
"2 2\n0 2\n2 1\n",
"1 2\n2 2\n4 3\n",
"2 3\n7 16 4\n16 9 14\n",
"1 2\n1 2\n0 0\n",
"2 3\n16 16 31\n1 21 16\n",
"2 3\n5 16 30\n16 16 16\n",
"1 2\n0 2\n2 1\n",
"1 2\n2 2\n4 5\n",
"2 3\n7 16 0\n16 9 14\n",
"2 3\n14 16 15\n12 21 16\n",
"2 2\n11 1\n12 8\n",
"2 3\n16 16 45\n1 21 16\n",
"1 2\n1 2\n2 1\n",
"2 2\n0 2\n5 2\n",
"2 3\n7 16 0\n16 1 14\n",
"1 2\n2 2\n2 1\n",
"1 2\n0 2\n5 2\n",
"1 2\n2 2\n1 1\n",
"1 2\n0 2\n9 2\n",
"1 2\n0 2\n15 2\n",
"1 2\n0 2\n22 2\n",
"1 2\n0 3\n22 0\n",
"1 2\n0 3\n35 0\n",
"2 3\n16 16 28\n16 16 16\n",
"2 3\n16 16 11\n16 14 16\n",
"2 3\n7 16 3\n16 16 16\n",
"2 3\n3 16 16\n16 4 16\n",
"2 2\n0 2\n2 5\n",
"2 2\n1 2\n5 3\n",
"2 2\n4 11\n12 0\n",
"2 3\n7 16 14\n16 9 16\n",
"2 2\n2 1\n8 3\n",
"2 3\n7 16 3\n16 9 16\n",
"2 3\n18 16 16\n16 14 16\n",
"1 2\n0 2\n3 3\n",
"1 2\n0 2\n2 -1\n",
"2 2\n1 1\n8 6\n",
"2 3\n16 16 14\n16 21 16\n",
"2 2\n5 10\n14 8\n",
"1 2\n1 2\n0 -1\n",
"2 2\n0 3\n3 2\n",
"1 2\n0 1\n3 4\n",
"2 3\n16 16 1\n16 16 16\n",
"2 2\n5 11\n12 0\n",
"2 2\n1 2\n3 1\n",
"1 2\n0 2\n4 3\n",
"2 3\n7 16 4\n16 1 16\n",
"2 3\n12 16 5\n16 9 14\n",
"2 2\n0 2\n3 4\n",
"2 2\n5 9\n12 8\n",
"2 3\n7 16 10\n9 1 16\n",
"1 2\n1 3\n3 3\n",
"1 2\n1 2\n4 -1\n",
"2 2\n2 1\n1 4\n",
"2 3\n3 16 30\n16 29 16\n",
"2 2\n1 2\n8 1\n",
"1 2\n1 2\n-1 0\n",
"1 2\n0 2\n4 5\n",
"2 2\n1 2\n3 2\n",
"2 3\n14 16 9\n12 21 16\n",
"2 2\n11 1\n12 12\n",
"1 2\n1 4\n0 1\n",
"1 2\n1 4\n2 1\n",
"1 2\n2 1\n2 1\n",
"1 2\n0 2\n7 2\n",
"1 2\n0 2\n14 2\n",
"1 2\n0 3\n29 2\n",
"1 2\n-1 3\n22 0\n",
"1 2\n1 3\n35 0\n"
],
"output": [
"\n16 32 48\n32 48 64\n",
"\n1 2\n2 3\n",
"\n327 583\n408 664\n",
"720720 786256 720720\n786256 720720 786256\n",
"720720 720736\n720801 720720\n",
"720720 735361\n741456 720720\n",
"720720 720736\n720736 720720\n",
"720720 720736\n720976 720720\n",
"720720 720721\n720976 720720\n",
"720720 720721\n724816 720720\n",
"720720 730720\n741456 720720\n",
"720720 720736\n",
"720720 786256 720720\n727281 720720 786256\n",
"720720 720801\n720801 720720\n",
"720720 730720\n759136 720720\n",
"720720 720721\n720721 720720\n",
"720720 720721\n771345 720720\n",
"720720 786256 720720\n786256 720720 720976\n",
"720720 720721\n720801 720720\n",
"720720 723121\n741456 720720\n",
"720720 786256 720720\n786256 720720 759136\n",
"720720 727281\n741456 720720\n",
"720720 720721\n759136 720720\n",
"720720 786256 720720\n786256 720720 723121\n",
"720720 786256 720720\n749281 720720 786256\n",
"720720 786256 720720\n720721 720720 786256\n",
"720720 735361\n730720 720720\n",
"720720 723121\n720736 720720\n",
"720720 720736\n724816 720720\n",
"720720 786256 720720\n741456 720720 786256\n",
"720720 720721\n741456 720720\n",
"720720 786256 720720\n749281 720720 720736\n",
"720720 720736\n721345 720720\n",
"720720 720976\n",
"720720 771345 720720\n749281 720720 720736\n",
"720720 720801\n",
"720720 720976\n720736 720720\n",
"720720 786256 720720\n",
"720720 720801 720720\n786256 720720 786256\n",
"720720 730720\n724816 720720\n",
"720720 720721\n",
"720720 786256 720720\n771345 720720 786256\n",
"720720 720721\n720736 720720\n",
"720720 786256 720720\n786256 720720 720721\n",
"720720 786256 720720\n786256 720720 721345\n",
"720720 720721\n786256 720720\n",
"720720 720976 720720\n749281 720720 786256\n",
"720720 786256 720720\n724816 720720 786256\n",
"720720 771345 720720\n720801 720720 720736\n",
"720720 720736\n771345 720720\n",
"720720 735361\n749281 720720\n",
"720720 735361 720720\n",
"720720 723121\n759136 720720\n",
"720720 786256 720720\n749281 720720 720721\n",
"720720 720736\n722016 720720\n",
"720720 727281\n771345 720720\n",
"720720 786256 720720\n727281 720720 722016\n",
"720720 727281 720720\n786256 720720 786256\n",
"720720 720976\n724816 720720\n",
"720720 786256 720720\n721345 720720 786256\n",
"720720 720736\n759136 720720\n",
"720720 786256 720720\n786256 720720 722016\n",
"720720 759136 720720\n",
"720720 730720 720720\n786256 720720 786256\n",
"720720 723121\n720976 720720\n",
"720720 786256 720720\n720736 720720 786256\n",
"720720 759136 720720\n786256 720720 786256\n",
"720720 720736\n723121 720720\n",
"720720 720801\n759136 720720\n",
"720720 759136 720720\n727281 720720 786256\n",
"720720 771345 720720\n786256 720720 786256\n",
"720720 759136 720720\n720801 720720 786256\n",
"720720 722016 720720\n786256 720720 786256\n",
"720720 721345 720720\n786256 720720 786256\n",
"720720 723121 720720\n786256 720720 786256\n",
"720720 720721\n722016 720720\n",
"720720 786256 720720\n720801 720720 786256\n",
"720720 786256 720720\n786256 720720 735361\n",
"720720 786256 720720\n786256 720720 724816\n",
"720720 730720\n727281 720720\n",
"720720 735361\n786256 720720\n",
"720720 720801\n741456 720720\n",
"720720 786256 720720\n786256 720720 720801\n",
"720720 749281\n741456 720720\n",
"720720 786256 720720\n727281 720720 720736\n",
"720720 720801\n720976 720720\n",
"720720 720736\n720721 720720\n",
"720720 749281 720720\n720721 720720 786256\n",
"720720 720736\n730720 720720\n",
"720720 720976\n721345 720720\n",
"720720 786256 720720\n786256 720720 727281\n",
"720720 730720 720720\n727281 720720 786256\n",
"720720 723121\n",
"720720 722016\n",
"720720 730720 720720\n786256 720720 723121\n",
"720720 735361\n771345 720720\n",
"720720 741456\n759136 720720\n",
"720720 720801 720720\n727281 720720 722016\n",
"720720 720976\n720721 720720\n",
"720720 786256 720720\n786256 720720 786256\n",
"720720 786256 720720\n786256 720720 786256\n",
"720720 720736\n720736 720720\n",
"720720 735361\n741456 720720\n",
"720720 786256 720720\n786256 720720 786256\n",
"720720 786256 720720\n786256 720720 786256\n",
"720720 786256 720720\n786256 720720 786256\n",
"720720 786256 720720\n786256 720720 786256\n",
"720720 786256 720720\n786256 720720 786256\n",
"720720 786256 720720\n786256 720720 786256\n",
"720720 720736\n720801 720720\n",
"720720 735361\n741456 720720\n",
"720720 720721\n724816 720720\n",
"720720 720721\n724816 720720\n",
"720720 786256 720720\n786256 720720 786256\n",
"720720 786256 720720\n786256 720720 786256\n",
"720720 786256 720720\n786256 720720 786256\n",
"720720 720736\n",
"720720 720801\n720801 720720\n",
"720720 786256 720720\n786256 720720 786256\n",
"720720 735361\n741456 720720\n",
"720720 786256 720720\n786256 720720 786256\n",
"720720 720736\n720736 720720\n",
"720720 720736\n",
"720720 786256 720720\n786256 720720 786256\n",
"720720 720721\n724816 720720\n",
"720720 786256 720720\n786256 720720 786256\n",
"720720 720736\n720801 720720\n",
"720720 720736\n",
"720720 786256 720720\n727281 720720 786256\n",
"720720 720801\n720801 720720\n",
"720720 720736\n",
"720720 720721\n720721 720720\n",
"720720 786256 720720\n786256 720720 720976\n",
"720720 786256 720720\n786256 720720 786256\n",
"720720 720736\n720736 720720\n",
"720720 720736\n",
"720720 786256 720720\n786256 720720 759136\n",
"720720 720736\n",
"720720 786256 720720\n720721 720720 786256\n",
"720720 786256 720720\n786256 720720 786256\n",
"720720 720736\n",
"720720 720736\n",
"720720 786256 720720\n786256 720720 759136\n",
"720720 786256 720720\n741456 720720 786256\n",
"720720 720721\n741456 720720\n",
"720720 786256 720720\n720721 720720 786256\n",
"720720 720736\n",
"720720 720736\n721345 720720\n",
"720720 786256 720720\n786256 720720 759136\n",
"720720 720736\n",
"720720 720736\n",
"720720 720736\n",
"720720 720736\n",
"720720 720736\n",
"720720 720736\n",
"720720 720801\n",
"720720 720801\n",
"720720 786256 720720\n786256 720720 786256\n",
"720720 786256 720720\n786256 720720 786256\n",
"720720 786256 720720\n786256 720720 786256\n",
"720720 786256 720720\n786256 720720 786256\n",
"720720 720736\n720736 720720\n",
"720720 720736\n721345 720720\n",
"720720 735361\n741456 720720\n",
"720720 786256 720720\n786256 720720 786256\n",
"720720 720721\n724816 720720\n",
"720720 786256 720720\n786256 720720 786256\n",
"720720 786256 720720\n786256 720720 786256\n",
"720720 720736\n",
"720720 720736\n",
"720720 720721\n724816 720720\n",
"720720 786256 720720\n786256 720720 786256\n",
"720720 730720\n759136 720720\n",
"720720 720736\n",
"720720 720801\n720801 720720\n",
"720720 720721\n",
"720720 786256 720720\n786256 720720 786256\n",
"720720 735361\n741456 720720\n",
"720720 720736\n720801 720720\n",
"720720 720736\n",
"720720 786256 720720\n786256 720720 786256\n",
"720720 786256 720720\n786256 720720 759136\n",
"720720 720736\n720801 720720\n",
"720720 727281\n741456 720720\n",
"720720 786256 720720\n727281 720720 786256\n",
"720720 720801\n",
"720720 720736\n",
"720720 720721\n720721 720720\n",
"720720 786256 720720\n786256 720720 786256\n",
"720720 720736\n724816 720720\n",
"720720 720736\n",
"720720 720736\n",
"720720 720736\n720801 720720\n",
"720720 786256 720720\n741456 720720 786256\n",
"720720 720721\n741456 720720\n",
"720720 720976\n",
"720720 720976\n",
"720720 720721\n",
"720720 720736\n",
"720720 720736\n",
"720720 720801\n",
"720720 720801\n",
"720720 720801\n"
]
} | 2CODEFORCES
|
1485_D. Multiples and Power Differences_38223 | You are given a matrix a consisting of positive integers. It has n rows and m columns.
Construct a matrix b consisting of positive integers. It should have the same size as a, and the following conditions should be met:
* 1 ≤ b_{i,j} ≤ 10^6;
* b_{i,j} is a multiple of a_{i,j};
* the absolute value of the difference between numbers in any adjacent pair of cells (two cells that share the same side) in b is equal to k^4 for some integer k ≥ 1 (k is not necessarily the same for all pairs, it is own for each pair).
We can show that the answer always exists.
Input
The first line contains two integers n and m (2 ≤ n,m ≤ 500).
Each of the following n lines contains m integers. The j-th integer in the i-th line is a_{i,j} (1 ≤ a_{i,j} ≤ 16).
Output
The output should contain n lines each containing m integers. The j-th integer in the i-th line should be b_{i,j}.
Examples
Input
2 2
1 2
2 3
Output
1 2
2 3
Input
2 3
16 16 16
16 16 16
Output
16 32 48
32 48 64
Input
2 2
3 11
12 8
Output
327 583
408 664
Note
In the first example, the matrix a can be used as the matrix b, because the absolute value of the difference between numbers in any adjacent pair of cells is 1 = 1^4.
In the third example:
* 327 is a multiple of 3, 583 is a multiple of 11, 408 is a multiple of 12, 664 is a multiple of 8;
* |408 - 327| = 3^4, |583 - 327| = 4^4, |664 - 408| = 4^4, |664 - 583| = 3^4. | #include <bits/stdc++.h>
#define ll long long
#define inf 0x3f3f3f3f
#define INF 0x3f3f3f3f3f3f3f3f
#define PI acos(-1)
#define pb push_back
#define F first
#define S second
#define lson i << 1
#define rson i << 1 | 1
#define mem(x, y) memset(x, y, sizeof(x))
#define fin(x) freopen(x, "r", stdin)
#define fout(x) freopen(x, "w", stdout)
#define fcl fclose(stdin), fclose(stdout)
#define ioss ios::sync_with_stdio(false), cout.tie(NULL)
#define pii pair<int, int>
#define vec vector
#define all(x) x.begin(), x.end()
#define lowbit(x) x &(-x)
const double eps = 1e-6;
const int MAX = 5e2 + 10;
const int MOD = 1e9 + 7;
using namespace std;
int t;
int n, m,a[MAX][MAX];
int main()
{
ioss;
cin >> n >> m;
for (int i = 1; i <= n; i++)
for (int j = 1; j <= m; j++)
cin >> a[i][j];
for (int i = 1; i <= n; i++)
{
for (int j = 1; j <= m; j++)
{
int k = a[i][j];
if ((i + j) & 1)
cout << 720720 << " ";
else
cout << 720720 - k * k * k * k << " ";
}
cout << '\n';
}
return 0;
} | 2C++
| {
"input": [
"2 3\n16 16 16\n16 16 16\n",
"2 2\n1 2\n2 3\n",
"2 2\n3 11\n12 8\n",
"2 3\n16 16 11\n16 16 16\n",
"2 2\n1 2\n3 3\n",
"2 2\n6 11\n12 8\n",
"2 2\n1 2\n2 5\n",
"2 2\n1 2\n4 3\n",
"2 2\n1 1\n4 3\n",
"2 2\n1 1\n8 3\n",
"2 2\n6 10\n12 8\n",
"1 2\n1 2\n2 0\n",
"2 3\n7 16 5\n9 7 16\n",
"2 2\n0 3\n3 3\n",
"2 2\n6 10\n14 8\n",
"2 2\n1 1\n1 5\n",
"2 2\n1 1\n15 4\n",
"2 3\n0 16 5\n16 9 4\n",
"2 2\n0 1\n3 4\n",
"2 2\n4 7\n12 8\n",
"2 3\n7 16 5\n16 9 14\n",
"2 2\n6 9\n12 8\n",
"2 2\n1 1\n14 5\n",
"2 3\n0 16 5\n16 9 7\n",
"2 3\n12 16 16\n13 14 16\n",
"2 3\n16 16 17\n1 21 16\n",
"2 2\n3 11\n10 0\n",
"2 2\n4 7\n2 8\n",
"2 2\n1 2\n8 2\n",
"2 3\n16 16 15\n12 21 16\n",
"2 2\n6 1\n12 8\n",
"2 3\n12 16 16\n13 14 2\n",
"2 2\n1 2\n5 2\n",
"1 2\n1 4\n0 0\n",
"2 3\n12 15 16\n13 14 2\n",
"1 2\n0 3\n22 2\n",
"2 2\n1 4\n2 0\n",
"1 3\n7 16 5\n16 7 16\n",
"2 3\n16 3 11\n16 21 16\n",
"2 2\n6 10\n8 8\n",
"1 2\n1 1\n8 5\n",
"2 3\n0 16 5\n15 9 16\n",
"2 2\n1 1\n2 5\n",
"2 3\n0 16 5\n16 9 1\n",
"2 3\n3 16 24\n16 16 5\n",
"2 2\n1 1\n16 2\n",
"2 3\n12 4 16\n13 14 16\n",
"2 3\n16 16 15\n8 21 16\n",
"2 3\n12 15 16\n3 14 2\n",
"2 2\n0 2\n15 2\n",
"2 2\n4 11\n13 0\n",
"1 3\n7 11 5\n16 7 16\n",
"2 2\n5 7\n14 8\n",
"2 3\n0 16 5\n13 9 1\n",
"2 2\n1 2\n6 1\n",
"2 2\n5 9\n15 8\n",
"2 3\n7 16 10\n9 1 6\n",
"2 3\n3 9 30\n16 29 16\n",
"2 2\n1 4\n8 1\n",
"2 3\n16 16 15\n5 21 16\n",
"2 2\n0 2\n14 2\n",
"2 3\n0 16 16\n16 4 6\n",
"1 3\n0 14 5\n15 9 16\n",
"2 3\n16 10 14\n16 41 16\n",
"2 2\n5 7\n4 8\n",
"2 3\n24 16 1\n2 16 16\n",
"2 3\n3 14 30\n16 29 16\n",
"2 2\n-1 2\n7 2\n",
"2 2\n0 3\n14 2\n",
"2 3\n3 14 30\n9 29 16\n",
"2 3\n9 15 3\n16 8 16\n",
"2 3\n2 14 30\n3 22 16\n",
"2 3\n9 6 3\n16 8 16\n",
"2 3\n9 5 3\n16 8 16\n",
"2 3\n9 7 3\n16 8 16\n",
"2 2\n1 1\n6 4\n",
"2 3\n7 16 5\n3 7 16\n",
"2 3\n16 16 16\n16 14 11\n",
"2 3\n12 16 16\n16 14 8\n",
"2 2\n6 10\n9 8\n",
"2 2\n3 11\n16 0\n",
"2 2\n4 3\n12 8\n",
"2 3\n7 16 5\n16 9 3\n",
"2 2\n6 13\n12 8\n",
"2 3\n7 16 10\n9 7 2\n",
"2 2\n1 3\n4 3\n",
"2 2\n1 2\n1 1\n",
"2 3\n16 13 31\n1 21 16\n",
"2 2\n0 2\n10 2\n",
"2 2\n1 4\n5 3\n",
"2 3\n7 16 14\n16 9 9\n",
"2 3\n7 10 10\n9 1 16\n",
"1 2\n1 7\n0 0\n",
"1 2\n1 6\n35 0\n",
"2 3\n16 10 28\n16 16 7\n",
"2 2\n4 11\n15 0\n",
"2 2\n5 12\n14 8\n",
"2 3\n7 3 10\n9 1 6\n",
"2 2\n1 4\n1 1\n",
"2 3\n7 16 11\n16 16 16\n",
"2 3\n3 16 16\n16 16 16\n",
"2 2\n1 2\n2 0\n",
"2 2\n4 11\n12 8\n",
"2 3\n7 16 11\n16 9 16\n",
"2 3\n7 16 4\n16 9 16\n",
"2 3\n7 16 5\n16 9 16\n",
"2 3\n7 16 5\n16 7 16\n",
"2 3\n16 16 16\n16 14 16\n",
"2 3\n16 16 11\n16 21 16\n",
"2 2\n0 2\n3 3\n",
"2 2\n4 11\n12 4\n",
"2 2\n1 1\n8 5\n",
"2 2\n1 1\n8 4\n",
"2 3\n0 16 5\n16 9 16\n",
"2 3\n12 16 16\n16 14 16\n",
"2 3\n16 16 17\n16 21 16\n",
"1 2\n1 2\n2 -1\n",
"2 2\n0 3\n3 4\n",
"2 3\n16 16 0\n16 16 16\n",
"2 2\n3 11\n12 0\n",
"2 3\n3 16 24\n16 16 16\n",
"2 2\n1 2\n2 1\n",
"1 2\n1 2\n4 3\n",
"2 3\n7 16 4\n16 4 16\n",
"2 2\n1 1\n8 2\n",
"2 3\n16 16 15\n16 21 16\n",
"2 2\n0 2\n3 2\n",
"1 2\n1 2\n1 0\n",
"2 3\n7 16 10\n9 7 16\n",
"2 2\n1 3\n3 3\n",
"1 2\n1 2\n3 -1\n",
"2 2\n1 1\n1 4\n",
"2 3\n0 16 5\n16 13 4\n",
"2 3\n3 16 30\n16 16 16\n",
"2 2\n0 2\n2 1\n",
"1 2\n2 2\n4 3\n",
"2 3\n7 16 4\n16 9 14\n",
"1 2\n1 2\n0 0\n",
"2 3\n16 16 31\n1 21 16\n",
"2 3\n5 16 30\n16 16 16\n",
"1 2\n0 2\n2 1\n",
"1 2\n2 2\n4 5\n",
"2 3\n7 16 0\n16 9 14\n",
"2 3\n14 16 15\n12 21 16\n",
"2 2\n11 1\n12 8\n",
"2 3\n16 16 45\n1 21 16\n",
"1 2\n1 2\n2 1\n",
"2 2\n0 2\n5 2\n",
"2 3\n7 16 0\n16 1 14\n",
"1 2\n2 2\n2 1\n",
"1 2\n0 2\n5 2\n",
"1 2\n2 2\n1 1\n",
"1 2\n0 2\n9 2\n",
"1 2\n0 2\n15 2\n",
"1 2\n0 2\n22 2\n",
"1 2\n0 3\n22 0\n",
"1 2\n0 3\n35 0\n",
"2 3\n16 16 28\n16 16 16\n",
"2 3\n16 16 11\n16 14 16\n",
"2 3\n7 16 3\n16 16 16\n",
"2 3\n3 16 16\n16 4 16\n",
"2 2\n0 2\n2 5\n",
"2 2\n1 2\n5 3\n",
"2 2\n4 11\n12 0\n",
"2 3\n7 16 14\n16 9 16\n",
"2 2\n2 1\n8 3\n",
"2 3\n7 16 3\n16 9 16\n",
"2 3\n18 16 16\n16 14 16\n",
"1 2\n0 2\n3 3\n",
"1 2\n0 2\n2 -1\n",
"2 2\n1 1\n8 6\n",
"2 3\n16 16 14\n16 21 16\n",
"2 2\n5 10\n14 8\n",
"1 2\n1 2\n0 -1\n",
"2 2\n0 3\n3 2\n",
"1 2\n0 1\n3 4\n",
"2 3\n16 16 1\n16 16 16\n",
"2 2\n5 11\n12 0\n",
"2 2\n1 2\n3 1\n",
"1 2\n0 2\n4 3\n",
"2 3\n7 16 4\n16 1 16\n",
"2 3\n12 16 5\n16 9 14\n",
"2 2\n0 2\n3 4\n",
"2 2\n5 9\n12 8\n",
"2 3\n7 16 10\n9 1 16\n",
"1 2\n1 3\n3 3\n",
"1 2\n1 2\n4 -1\n",
"2 2\n2 1\n1 4\n",
"2 3\n3 16 30\n16 29 16\n",
"2 2\n1 2\n8 1\n",
"1 2\n1 2\n-1 0\n",
"1 2\n0 2\n4 5\n",
"2 2\n1 2\n3 2\n",
"2 3\n14 16 9\n12 21 16\n",
"2 2\n11 1\n12 12\n",
"1 2\n1 4\n0 1\n",
"1 2\n1 4\n2 1\n",
"1 2\n2 1\n2 1\n",
"1 2\n0 2\n7 2\n",
"1 2\n0 2\n14 2\n",
"1 2\n0 3\n29 2\n",
"1 2\n-1 3\n22 0\n",
"1 2\n1 3\n35 0\n"
],
"output": [
"\n16 32 48\n32 48 64\n",
"\n1 2\n2 3\n",
"\n327 583\n408 664\n",
"720720 786256 720720\n786256 720720 786256\n",
"720720 720736\n720801 720720\n",
"720720 735361\n741456 720720\n",
"720720 720736\n720736 720720\n",
"720720 720736\n720976 720720\n",
"720720 720721\n720976 720720\n",
"720720 720721\n724816 720720\n",
"720720 730720\n741456 720720\n",
"720720 720736\n",
"720720 786256 720720\n727281 720720 786256\n",
"720720 720801\n720801 720720\n",
"720720 730720\n759136 720720\n",
"720720 720721\n720721 720720\n",
"720720 720721\n771345 720720\n",
"720720 786256 720720\n786256 720720 720976\n",
"720720 720721\n720801 720720\n",
"720720 723121\n741456 720720\n",
"720720 786256 720720\n786256 720720 759136\n",
"720720 727281\n741456 720720\n",
"720720 720721\n759136 720720\n",
"720720 786256 720720\n786256 720720 723121\n",
"720720 786256 720720\n749281 720720 786256\n",
"720720 786256 720720\n720721 720720 786256\n",
"720720 735361\n730720 720720\n",
"720720 723121\n720736 720720\n",
"720720 720736\n724816 720720\n",
"720720 786256 720720\n741456 720720 786256\n",
"720720 720721\n741456 720720\n",
"720720 786256 720720\n749281 720720 720736\n",
"720720 720736\n721345 720720\n",
"720720 720976\n",
"720720 771345 720720\n749281 720720 720736\n",
"720720 720801\n",
"720720 720976\n720736 720720\n",
"720720 786256 720720\n",
"720720 720801 720720\n786256 720720 786256\n",
"720720 730720\n724816 720720\n",
"720720 720721\n",
"720720 786256 720720\n771345 720720 786256\n",
"720720 720721\n720736 720720\n",
"720720 786256 720720\n786256 720720 720721\n",
"720720 786256 720720\n786256 720720 721345\n",
"720720 720721\n786256 720720\n",
"720720 720976 720720\n749281 720720 786256\n",
"720720 786256 720720\n724816 720720 786256\n",
"720720 771345 720720\n720801 720720 720736\n",
"720720 720736\n771345 720720\n",
"720720 735361\n749281 720720\n",
"720720 735361 720720\n",
"720720 723121\n759136 720720\n",
"720720 786256 720720\n749281 720720 720721\n",
"720720 720736\n722016 720720\n",
"720720 727281\n771345 720720\n",
"720720 786256 720720\n727281 720720 722016\n",
"720720 727281 720720\n786256 720720 786256\n",
"720720 720976\n724816 720720\n",
"720720 786256 720720\n721345 720720 786256\n",
"720720 720736\n759136 720720\n",
"720720 786256 720720\n786256 720720 722016\n",
"720720 759136 720720\n",
"720720 730720 720720\n786256 720720 786256\n",
"720720 723121\n720976 720720\n",
"720720 786256 720720\n720736 720720 786256\n",
"720720 759136 720720\n786256 720720 786256\n",
"720720 720736\n723121 720720\n",
"720720 720801\n759136 720720\n",
"720720 759136 720720\n727281 720720 786256\n",
"720720 771345 720720\n786256 720720 786256\n",
"720720 759136 720720\n720801 720720 786256\n",
"720720 722016 720720\n786256 720720 786256\n",
"720720 721345 720720\n786256 720720 786256\n",
"720720 723121 720720\n786256 720720 786256\n",
"720720 720721\n722016 720720\n",
"720720 786256 720720\n720801 720720 786256\n",
"720720 786256 720720\n786256 720720 735361\n",
"720720 786256 720720\n786256 720720 724816\n",
"720720 730720\n727281 720720\n",
"720720 735361\n786256 720720\n",
"720720 720801\n741456 720720\n",
"720720 786256 720720\n786256 720720 720801\n",
"720720 749281\n741456 720720\n",
"720720 786256 720720\n727281 720720 720736\n",
"720720 720801\n720976 720720\n",
"720720 720736\n720721 720720\n",
"720720 749281 720720\n720721 720720 786256\n",
"720720 720736\n730720 720720\n",
"720720 720976\n721345 720720\n",
"720720 786256 720720\n786256 720720 727281\n",
"720720 730720 720720\n727281 720720 786256\n",
"720720 723121\n",
"720720 722016\n",
"720720 730720 720720\n786256 720720 723121\n",
"720720 735361\n771345 720720\n",
"720720 741456\n759136 720720\n",
"720720 720801 720720\n727281 720720 722016\n",
"720720 720976\n720721 720720\n",
"720720 786256 720720\n786256 720720 786256\n",
"720720 786256 720720\n786256 720720 786256\n",
"720720 720736\n720736 720720\n",
"720720 735361\n741456 720720\n",
"720720 786256 720720\n786256 720720 786256\n",
"720720 786256 720720\n786256 720720 786256\n",
"720720 786256 720720\n786256 720720 786256\n",
"720720 786256 720720\n786256 720720 786256\n",
"720720 786256 720720\n786256 720720 786256\n",
"720720 786256 720720\n786256 720720 786256\n",
"720720 720736\n720801 720720\n",
"720720 735361\n741456 720720\n",
"720720 720721\n724816 720720\n",
"720720 720721\n724816 720720\n",
"720720 786256 720720\n786256 720720 786256\n",
"720720 786256 720720\n786256 720720 786256\n",
"720720 786256 720720\n786256 720720 786256\n",
"720720 720736\n",
"720720 720801\n720801 720720\n",
"720720 786256 720720\n786256 720720 786256\n",
"720720 735361\n741456 720720\n",
"720720 786256 720720\n786256 720720 786256\n",
"720720 720736\n720736 720720\n",
"720720 720736\n",
"720720 786256 720720\n786256 720720 786256\n",
"720720 720721\n724816 720720\n",
"720720 786256 720720\n786256 720720 786256\n",
"720720 720736\n720801 720720\n",
"720720 720736\n",
"720720 786256 720720\n727281 720720 786256\n",
"720720 720801\n720801 720720\n",
"720720 720736\n",
"720720 720721\n720721 720720\n",
"720720 786256 720720\n786256 720720 720976\n",
"720720 786256 720720\n786256 720720 786256\n",
"720720 720736\n720736 720720\n",
"720720 720736\n",
"720720 786256 720720\n786256 720720 759136\n",
"720720 720736\n",
"720720 786256 720720\n720721 720720 786256\n",
"720720 786256 720720\n786256 720720 786256\n",
"720720 720736\n",
"720720 720736\n",
"720720 786256 720720\n786256 720720 759136\n",
"720720 786256 720720\n741456 720720 786256\n",
"720720 720721\n741456 720720\n",
"720720 786256 720720\n720721 720720 786256\n",
"720720 720736\n",
"720720 720736\n721345 720720\n",
"720720 786256 720720\n786256 720720 759136\n",
"720720 720736\n",
"720720 720736\n",
"720720 720736\n",
"720720 720736\n",
"720720 720736\n",
"720720 720736\n",
"720720 720801\n",
"720720 720801\n",
"720720 786256 720720\n786256 720720 786256\n",
"720720 786256 720720\n786256 720720 786256\n",
"720720 786256 720720\n786256 720720 786256\n",
"720720 786256 720720\n786256 720720 786256\n",
"720720 720736\n720736 720720\n",
"720720 720736\n721345 720720\n",
"720720 735361\n741456 720720\n",
"720720 786256 720720\n786256 720720 786256\n",
"720720 720721\n724816 720720\n",
"720720 786256 720720\n786256 720720 786256\n",
"720720 786256 720720\n786256 720720 786256\n",
"720720 720736\n",
"720720 720736\n",
"720720 720721\n724816 720720\n",
"720720 786256 720720\n786256 720720 786256\n",
"720720 730720\n759136 720720\n",
"720720 720736\n",
"720720 720801\n720801 720720\n",
"720720 720721\n",
"720720 786256 720720\n786256 720720 786256\n",
"720720 735361\n741456 720720\n",
"720720 720736\n720801 720720\n",
"720720 720736\n",
"720720 786256 720720\n786256 720720 786256\n",
"720720 786256 720720\n786256 720720 759136\n",
"720720 720736\n720801 720720\n",
"720720 727281\n741456 720720\n",
"720720 786256 720720\n727281 720720 786256\n",
"720720 720801\n",
"720720 720736\n",
"720720 720721\n720721 720720\n",
"720720 786256 720720\n786256 720720 786256\n",
"720720 720736\n724816 720720\n",
"720720 720736\n",
"720720 720736\n",
"720720 720736\n720801 720720\n",
"720720 786256 720720\n741456 720720 786256\n",
"720720 720721\n741456 720720\n",
"720720 720976\n",
"720720 720976\n",
"720720 720721\n",
"720720 720736\n",
"720720 720736\n",
"720720 720801\n",
"720720 720801\n",
"720720 720801\n"
]
} | 2CODEFORCES
|
1485_D. Multiples and Power Differences_38224 | You are given a matrix a consisting of positive integers. It has n rows and m columns.
Construct a matrix b consisting of positive integers. It should have the same size as a, and the following conditions should be met:
* 1 ≤ b_{i,j} ≤ 10^6;
* b_{i,j} is a multiple of a_{i,j};
* the absolute value of the difference between numbers in any adjacent pair of cells (two cells that share the same side) in b is equal to k^4 for some integer k ≥ 1 (k is not necessarily the same for all pairs, it is own for each pair).
We can show that the answer always exists.
Input
The first line contains two integers n and m (2 ≤ n,m ≤ 500).
Each of the following n lines contains m integers. The j-th integer in the i-th line is a_{i,j} (1 ≤ a_{i,j} ≤ 16).
Output
The output should contain n lines each containing m integers. The j-th integer in the i-th line should be b_{i,j}.
Examples
Input
2 2
1 2
2 3
Output
1 2
2 3
Input
2 3
16 16 16
16 16 16
Output
16 32 48
32 48 64
Input
2 2
3 11
12 8
Output
327 583
408 664
Note
In the first example, the matrix a can be used as the matrix b, because the absolute value of the difference between numbers in any adjacent pair of cells is 1 = 1^4.
In the third example:
* 327 is a multiple of 3, 583 is a multiple of 11, 408 is a multiple of 12, 664 is a multiple of 8;
* |408 - 327| = 3^4, |583 - 327| = 4^4, |664 - 408| = 4^4, |664 - 583| = 3^4. |
n, m = list(map(int, input().split()))
matrix = []
for i in range(n):
row = list(map(int, input().split()))
matrix.append(row)
#print(matrix)
res = [ [ 0 for i in range(m) ] for j in range(n) ]
for i in range(n):
for j in range(m):
if (i + j) % 2:
res[i][j] = 720720 + matrix[i][j] ** 4
else:
res[i][j] = 720720
print(res[i][j], end=" ")
print() | 3Python3
| {
"input": [
"2 3\n16 16 16\n16 16 16\n",
"2 2\n1 2\n2 3\n",
"2 2\n3 11\n12 8\n",
"2 3\n16 16 11\n16 16 16\n",
"2 2\n1 2\n3 3\n",
"2 2\n6 11\n12 8\n",
"2 2\n1 2\n2 5\n",
"2 2\n1 2\n4 3\n",
"2 2\n1 1\n4 3\n",
"2 2\n1 1\n8 3\n",
"2 2\n6 10\n12 8\n",
"1 2\n1 2\n2 0\n",
"2 3\n7 16 5\n9 7 16\n",
"2 2\n0 3\n3 3\n",
"2 2\n6 10\n14 8\n",
"2 2\n1 1\n1 5\n",
"2 2\n1 1\n15 4\n",
"2 3\n0 16 5\n16 9 4\n",
"2 2\n0 1\n3 4\n",
"2 2\n4 7\n12 8\n",
"2 3\n7 16 5\n16 9 14\n",
"2 2\n6 9\n12 8\n",
"2 2\n1 1\n14 5\n",
"2 3\n0 16 5\n16 9 7\n",
"2 3\n12 16 16\n13 14 16\n",
"2 3\n16 16 17\n1 21 16\n",
"2 2\n3 11\n10 0\n",
"2 2\n4 7\n2 8\n",
"2 2\n1 2\n8 2\n",
"2 3\n16 16 15\n12 21 16\n",
"2 2\n6 1\n12 8\n",
"2 3\n12 16 16\n13 14 2\n",
"2 2\n1 2\n5 2\n",
"1 2\n1 4\n0 0\n",
"2 3\n12 15 16\n13 14 2\n",
"1 2\n0 3\n22 2\n",
"2 2\n1 4\n2 0\n",
"1 3\n7 16 5\n16 7 16\n",
"2 3\n16 3 11\n16 21 16\n",
"2 2\n6 10\n8 8\n",
"1 2\n1 1\n8 5\n",
"2 3\n0 16 5\n15 9 16\n",
"2 2\n1 1\n2 5\n",
"2 3\n0 16 5\n16 9 1\n",
"2 3\n3 16 24\n16 16 5\n",
"2 2\n1 1\n16 2\n",
"2 3\n12 4 16\n13 14 16\n",
"2 3\n16 16 15\n8 21 16\n",
"2 3\n12 15 16\n3 14 2\n",
"2 2\n0 2\n15 2\n",
"2 2\n4 11\n13 0\n",
"1 3\n7 11 5\n16 7 16\n",
"2 2\n5 7\n14 8\n",
"2 3\n0 16 5\n13 9 1\n",
"2 2\n1 2\n6 1\n",
"2 2\n5 9\n15 8\n",
"2 3\n7 16 10\n9 1 6\n",
"2 3\n3 9 30\n16 29 16\n",
"2 2\n1 4\n8 1\n",
"2 3\n16 16 15\n5 21 16\n",
"2 2\n0 2\n14 2\n",
"2 3\n0 16 16\n16 4 6\n",
"1 3\n0 14 5\n15 9 16\n",
"2 3\n16 10 14\n16 41 16\n",
"2 2\n5 7\n4 8\n",
"2 3\n24 16 1\n2 16 16\n",
"2 3\n3 14 30\n16 29 16\n",
"2 2\n-1 2\n7 2\n",
"2 2\n0 3\n14 2\n",
"2 3\n3 14 30\n9 29 16\n",
"2 3\n9 15 3\n16 8 16\n",
"2 3\n2 14 30\n3 22 16\n",
"2 3\n9 6 3\n16 8 16\n",
"2 3\n9 5 3\n16 8 16\n",
"2 3\n9 7 3\n16 8 16\n",
"2 2\n1 1\n6 4\n",
"2 3\n7 16 5\n3 7 16\n",
"2 3\n16 16 16\n16 14 11\n",
"2 3\n12 16 16\n16 14 8\n",
"2 2\n6 10\n9 8\n",
"2 2\n3 11\n16 0\n",
"2 2\n4 3\n12 8\n",
"2 3\n7 16 5\n16 9 3\n",
"2 2\n6 13\n12 8\n",
"2 3\n7 16 10\n9 7 2\n",
"2 2\n1 3\n4 3\n",
"2 2\n1 2\n1 1\n",
"2 3\n16 13 31\n1 21 16\n",
"2 2\n0 2\n10 2\n",
"2 2\n1 4\n5 3\n",
"2 3\n7 16 14\n16 9 9\n",
"2 3\n7 10 10\n9 1 16\n",
"1 2\n1 7\n0 0\n",
"1 2\n1 6\n35 0\n",
"2 3\n16 10 28\n16 16 7\n",
"2 2\n4 11\n15 0\n",
"2 2\n5 12\n14 8\n",
"2 3\n7 3 10\n9 1 6\n",
"2 2\n1 4\n1 1\n",
"2 3\n7 16 11\n16 16 16\n",
"2 3\n3 16 16\n16 16 16\n",
"2 2\n1 2\n2 0\n",
"2 2\n4 11\n12 8\n",
"2 3\n7 16 11\n16 9 16\n",
"2 3\n7 16 4\n16 9 16\n",
"2 3\n7 16 5\n16 9 16\n",
"2 3\n7 16 5\n16 7 16\n",
"2 3\n16 16 16\n16 14 16\n",
"2 3\n16 16 11\n16 21 16\n",
"2 2\n0 2\n3 3\n",
"2 2\n4 11\n12 4\n",
"2 2\n1 1\n8 5\n",
"2 2\n1 1\n8 4\n",
"2 3\n0 16 5\n16 9 16\n",
"2 3\n12 16 16\n16 14 16\n",
"2 3\n16 16 17\n16 21 16\n",
"1 2\n1 2\n2 -1\n",
"2 2\n0 3\n3 4\n",
"2 3\n16 16 0\n16 16 16\n",
"2 2\n3 11\n12 0\n",
"2 3\n3 16 24\n16 16 16\n",
"2 2\n1 2\n2 1\n",
"1 2\n1 2\n4 3\n",
"2 3\n7 16 4\n16 4 16\n",
"2 2\n1 1\n8 2\n",
"2 3\n16 16 15\n16 21 16\n",
"2 2\n0 2\n3 2\n",
"1 2\n1 2\n1 0\n",
"2 3\n7 16 10\n9 7 16\n",
"2 2\n1 3\n3 3\n",
"1 2\n1 2\n3 -1\n",
"2 2\n1 1\n1 4\n",
"2 3\n0 16 5\n16 13 4\n",
"2 3\n3 16 30\n16 16 16\n",
"2 2\n0 2\n2 1\n",
"1 2\n2 2\n4 3\n",
"2 3\n7 16 4\n16 9 14\n",
"1 2\n1 2\n0 0\n",
"2 3\n16 16 31\n1 21 16\n",
"2 3\n5 16 30\n16 16 16\n",
"1 2\n0 2\n2 1\n",
"1 2\n2 2\n4 5\n",
"2 3\n7 16 0\n16 9 14\n",
"2 3\n14 16 15\n12 21 16\n",
"2 2\n11 1\n12 8\n",
"2 3\n16 16 45\n1 21 16\n",
"1 2\n1 2\n2 1\n",
"2 2\n0 2\n5 2\n",
"2 3\n7 16 0\n16 1 14\n",
"1 2\n2 2\n2 1\n",
"1 2\n0 2\n5 2\n",
"1 2\n2 2\n1 1\n",
"1 2\n0 2\n9 2\n",
"1 2\n0 2\n15 2\n",
"1 2\n0 2\n22 2\n",
"1 2\n0 3\n22 0\n",
"1 2\n0 3\n35 0\n",
"2 3\n16 16 28\n16 16 16\n",
"2 3\n16 16 11\n16 14 16\n",
"2 3\n7 16 3\n16 16 16\n",
"2 3\n3 16 16\n16 4 16\n",
"2 2\n0 2\n2 5\n",
"2 2\n1 2\n5 3\n",
"2 2\n4 11\n12 0\n",
"2 3\n7 16 14\n16 9 16\n",
"2 2\n2 1\n8 3\n",
"2 3\n7 16 3\n16 9 16\n",
"2 3\n18 16 16\n16 14 16\n",
"1 2\n0 2\n3 3\n",
"1 2\n0 2\n2 -1\n",
"2 2\n1 1\n8 6\n",
"2 3\n16 16 14\n16 21 16\n",
"2 2\n5 10\n14 8\n",
"1 2\n1 2\n0 -1\n",
"2 2\n0 3\n3 2\n",
"1 2\n0 1\n3 4\n",
"2 3\n16 16 1\n16 16 16\n",
"2 2\n5 11\n12 0\n",
"2 2\n1 2\n3 1\n",
"1 2\n0 2\n4 3\n",
"2 3\n7 16 4\n16 1 16\n",
"2 3\n12 16 5\n16 9 14\n",
"2 2\n0 2\n3 4\n",
"2 2\n5 9\n12 8\n",
"2 3\n7 16 10\n9 1 16\n",
"1 2\n1 3\n3 3\n",
"1 2\n1 2\n4 -1\n",
"2 2\n2 1\n1 4\n",
"2 3\n3 16 30\n16 29 16\n",
"2 2\n1 2\n8 1\n",
"1 2\n1 2\n-1 0\n",
"1 2\n0 2\n4 5\n",
"2 2\n1 2\n3 2\n",
"2 3\n14 16 9\n12 21 16\n",
"2 2\n11 1\n12 12\n",
"1 2\n1 4\n0 1\n",
"1 2\n1 4\n2 1\n",
"1 2\n2 1\n2 1\n",
"1 2\n0 2\n7 2\n",
"1 2\n0 2\n14 2\n",
"1 2\n0 3\n29 2\n",
"1 2\n-1 3\n22 0\n",
"1 2\n1 3\n35 0\n"
],
"output": [
"\n16 32 48\n32 48 64\n",
"\n1 2\n2 3\n",
"\n327 583\n408 664\n",
"720720 786256 720720\n786256 720720 786256\n",
"720720 720736\n720801 720720\n",
"720720 735361\n741456 720720\n",
"720720 720736\n720736 720720\n",
"720720 720736\n720976 720720\n",
"720720 720721\n720976 720720\n",
"720720 720721\n724816 720720\n",
"720720 730720\n741456 720720\n",
"720720 720736\n",
"720720 786256 720720\n727281 720720 786256\n",
"720720 720801\n720801 720720\n",
"720720 730720\n759136 720720\n",
"720720 720721\n720721 720720\n",
"720720 720721\n771345 720720\n",
"720720 786256 720720\n786256 720720 720976\n",
"720720 720721\n720801 720720\n",
"720720 723121\n741456 720720\n",
"720720 786256 720720\n786256 720720 759136\n",
"720720 727281\n741456 720720\n",
"720720 720721\n759136 720720\n",
"720720 786256 720720\n786256 720720 723121\n",
"720720 786256 720720\n749281 720720 786256\n",
"720720 786256 720720\n720721 720720 786256\n",
"720720 735361\n730720 720720\n",
"720720 723121\n720736 720720\n",
"720720 720736\n724816 720720\n",
"720720 786256 720720\n741456 720720 786256\n",
"720720 720721\n741456 720720\n",
"720720 786256 720720\n749281 720720 720736\n",
"720720 720736\n721345 720720\n",
"720720 720976\n",
"720720 771345 720720\n749281 720720 720736\n",
"720720 720801\n",
"720720 720976\n720736 720720\n",
"720720 786256 720720\n",
"720720 720801 720720\n786256 720720 786256\n",
"720720 730720\n724816 720720\n",
"720720 720721\n",
"720720 786256 720720\n771345 720720 786256\n",
"720720 720721\n720736 720720\n",
"720720 786256 720720\n786256 720720 720721\n",
"720720 786256 720720\n786256 720720 721345\n",
"720720 720721\n786256 720720\n",
"720720 720976 720720\n749281 720720 786256\n",
"720720 786256 720720\n724816 720720 786256\n",
"720720 771345 720720\n720801 720720 720736\n",
"720720 720736\n771345 720720\n",
"720720 735361\n749281 720720\n",
"720720 735361 720720\n",
"720720 723121\n759136 720720\n",
"720720 786256 720720\n749281 720720 720721\n",
"720720 720736\n722016 720720\n",
"720720 727281\n771345 720720\n",
"720720 786256 720720\n727281 720720 722016\n",
"720720 727281 720720\n786256 720720 786256\n",
"720720 720976\n724816 720720\n",
"720720 786256 720720\n721345 720720 786256\n",
"720720 720736\n759136 720720\n",
"720720 786256 720720\n786256 720720 722016\n",
"720720 759136 720720\n",
"720720 730720 720720\n786256 720720 786256\n",
"720720 723121\n720976 720720\n",
"720720 786256 720720\n720736 720720 786256\n",
"720720 759136 720720\n786256 720720 786256\n",
"720720 720736\n723121 720720\n",
"720720 720801\n759136 720720\n",
"720720 759136 720720\n727281 720720 786256\n",
"720720 771345 720720\n786256 720720 786256\n",
"720720 759136 720720\n720801 720720 786256\n",
"720720 722016 720720\n786256 720720 786256\n",
"720720 721345 720720\n786256 720720 786256\n",
"720720 723121 720720\n786256 720720 786256\n",
"720720 720721\n722016 720720\n",
"720720 786256 720720\n720801 720720 786256\n",
"720720 786256 720720\n786256 720720 735361\n",
"720720 786256 720720\n786256 720720 724816\n",
"720720 730720\n727281 720720\n",
"720720 735361\n786256 720720\n",
"720720 720801\n741456 720720\n",
"720720 786256 720720\n786256 720720 720801\n",
"720720 749281\n741456 720720\n",
"720720 786256 720720\n727281 720720 720736\n",
"720720 720801\n720976 720720\n",
"720720 720736\n720721 720720\n",
"720720 749281 720720\n720721 720720 786256\n",
"720720 720736\n730720 720720\n",
"720720 720976\n721345 720720\n",
"720720 786256 720720\n786256 720720 727281\n",
"720720 730720 720720\n727281 720720 786256\n",
"720720 723121\n",
"720720 722016\n",
"720720 730720 720720\n786256 720720 723121\n",
"720720 735361\n771345 720720\n",
"720720 741456\n759136 720720\n",
"720720 720801 720720\n727281 720720 722016\n",
"720720 720976\n720721 720720\n",
"720720 786256 720720\n786256 720720 786256\n",
"720720 786256 720720\n786256 720720 786256\n",
"720720 720736\n720736 720720\n",
"720720 735361\n741456 720720\n",
"720720 786256 720720\n786256 720720 786256\n",
"720720 786256 720720\n786256 720720 786256\n",
"720720 786256 720720\n786256 720720 786256\n",
"720720 786256 720720\n786256 720720 786256\n",
"720720 786256 720720\n786256 720720 786256\n",
"720720 786256 720720\n786256 720720 786256\n",
"720720 720736\n720801 720720\n",
"720720 735361\n741456 720720\n",
"720720 720721\n724816 720720\n",
"720720 720721\n724816 720720\n",
"720720 786256 720720\n786256 720720 786256\n",
"720720 786256 720720\n786256 720720 786256\n",
"720720 786256 720720\n786256 720720 786256\n",
"720720 720736\n",
"720720 720801\n720801 720720\n",
"720720 786256 720720\n786256 720720 786256\n",
"720720 735361\n741456 720720\n",
"720720 786256 720720\n786256 720720 786256\n",
"720720 720736\n720736 720720\n",
"720720 720736\n",
"720720 786256 720720\n786256 720720 786256\n",
"720720 720721\n724816 720720\n",
"720720 786256 720720\n786256 720720 786256\n",
"720720 720736\n720801 720720\n",
"720720 720736\n",
"720720 786256 720720\n727281 720720 786256\n",
"720720 720801\n720801 720720\n",
"720720 720736\n",
"720720 720721\n720721 720720\n",
"720720 786256 720720\n786256 720720 720976\n",
"720720 786256 720720\n786256 720720 786256\n",
"720720 720736\n720736 720720\n",
"720720 720736\n",
"720720 786256 720720\n786256 720720 759136\n",
"720720 720736\n",
"720720 786256 720720\n720721 720720 786256\n",
"720720 786256 720720\n786256 720720 786256\n",
"720720 720736\n",
"720720 720736\n",
"720720 786256 720720\n786256 720720 759136\n",
"720720 786256 720720\n741456 720720 786256\n",
"720720 720721\n741456 720720\n",
"720720 786256 720720\n720721 720720 786256\n",
"720720 720736\n",
"720720 720736\n721345 720720\n",
"720720 786256 720720\n786256 720720 759136\n",
"720720 720736\n",
"720720 720736\n",
"720720 720736\n",
"720720 720736\n",
"720720 720736\n",
"720720 720736\n",
"720720 720801\n",
"720720 720801\n",
"720720 786256 720720\n786256 720720 786256\n",
"720720 786256 720720\n786256 720720 786256\n",
"720720 786256 720720\n786256 720720 786256\n",
"720720 786256 720720\n786256 720720 786256\n",
"720720 720736\n720736 720720\n",
"720720 720736\n721345 720720\n",
"720720 735361\n741456 720720\n",
"720720 786256 720720\n786256 720720 786256\n",
"720720 720721\n724816 720720\n",
"720720 786256 720720\n786256 720720 786256\n",
"720720 786256 720720\n786256 720720 786256\n",
"720720 720736\n",
"720720 720736\n",
"720720 720721\n724816 720720\n",
"720720 786256 720720\n786256 720720 786256\n",
"720720 730720\n759136 720720\n",
"720720 720736\n",
"720720 720801\n720801 720720\n",
"720720 720721\n",
"720720 786256 720720\n786256 720720 786256\n",
"720720 735361\n741456 720720\n",
"720720 720736\n720801 720720\n",
"720720 720736\n",
"720720 786256 720720\n786256 720720 786256\n",
"720720 786256 720720\n786256 720720 759136\n",
"720720 720736\n720801 720720\n",
"720720 727281\n741456 720720\n",
"720720 786256 720720\n727281 720720 786256\n",
"720720 720801\n",
"720720 720736\n",
"720720 720721\n720721 720720\n",
"720720 786256 720720\n786256 720720 786256\n",
"720720 720736\n724816 720720\n",
"720720 720736\n",
"720720 720736\n",
"720720 720736\n720801 720720\n",
"720720 786256 720720\n741456 720720 786256\n",
"720720 720721\n741456 720720\n",
"720720 720976\n",
"720720 720976\n",
"720720 720721\n",
"720720 720736\n",
"720720 720736\n",
"720720 720801\n",
"720720 720801\n",
"720720 720801\n"
]
} | 2CODEFORCES
|
1485_D. Multiples and Power Differences_38225 | You are given a matrix a consisting of positive integers. It has n rows and m columns.
Construct a matrix b consisting of positive integers. It should have the same size as a, and the following conditions should be met:
* 1 ≤ b_{i,j} ≤ 10^6;
* b_{i,j} is a multiple of a_{i,j};
* the absolute value of the difference between numbers in any adjacent pair of cells (two cells that share the same side) in b is equal to k^4 for some integer k ≥ 1 (k is not necessarily the same for all pairs, it is own for each pair).
We can show that the answer always exists.
Input
The first line contains two integers n and m (2 ≤ n,m ≤ 500).
Each of the following n lines contains m integers. The j-th integer in the i-th line is a_{i,j} (1 ≤ a_{i,j} ≤ 16).
Output
The output should contain n lines each containing m integers. The j-th integer in the i-th line should be b_{i,j}.
Examples
Input
2 2
1 2
2 3
Output
1 2
2 3
Input
2 3
16 16 16
16 16 16
Output
16 32 48
32 48 64
Input
2 2
3 11
12 8
Output
327 583
408 664
Note
In the first example, the matrix a can be used as the matrix b, because the absolute value of the difference between numbers in any adjacent pair of cells is 1 = 1^4.
In the third example:
* 327 is a multiple of 3, 583 is a multiple of 11, 408 is a multiple of 12, 664 is a multiple of 8;
* |408 - 327| = 3^4, |583 - 327| = 4^4, |664 - 408| = 4^4, |664 - 583| = 3^4. | import static java.lang.Math.*;
import static java.util.Arrays.*;
import java.math.*;
import java.util.stream.*;
public class D {
public Object solve () {
int N = sc.nextInt(), M = sc.nextInt();
int [][] A = sc.nextInts(N);
int [][] res = new int [N][M];
int X = (int) lcm(req(1, 16));
for (int [] r : res)
fill(r, X);
for (int r : rep(N))
for (int c : rep(M))
if ((r + c) % 2 == 0)
res[r][c] += power(A[r][c], 4);
for (int [] r : res)
print(r);
return null;
}
private static final int CONTEST_TYPE = 1;
private static void init () {
}
private static final long LINF = (long) 1e18 + 10;
private static long gcd (long x, long y) { return BigInteger.valueOf(x).gcd(BigInteger.valueOf(y)).longValue(); }
private static long lcm (int ... A) {
long res = 1;
for (int a : A)
res = lcm(res, a);
return res;
}
private static long lcm (long x, long y) { return x/gcd(x, y)*y; }
private static long power (long b, int e) {
if (b != 0 && e * log(abs(b)) > 2 * log(LINF)) return power(Long.signum(b), e) * LINF;
else return BigInteger.valueOf(b).pow(e).min(BigInteger.valueOf(LINF)).max(BigInteger.valueOf(-LINF)).longValue();
}
private static int [] rep (int N) { return rep(0, N); }
private static int [] rep (int S, int T) { if (S >= T) return new int [0]; int [] res = new int [T-S]; for (int i = S; i < T; ++i) res[i-S] = i; return res; }
private static int [] req (int S, int T) { return rep(S, T+1); }
//////////////////////////////////////////////////////////////////////////////////// OFF
private static IOUtils.MyScanner sc = new IOUtils.MyScanner();
private static Object print (Object o, Object ... A) { IOUtils.print(o, A); return null; }
private static class IOUtils {
public static class MyScanner {
public String next () { newLine(); return line[index++]; }
public int nextInt () { return Integer.parseInt(next()); }
public String nextLine () { line = null; return readLine(); }
public String [] nextStrings () { return split(nextLine()); }
public int[] nextInts () { return nextStream().mapToInt(Integer::parseInt).toArray(); }
public int[][] nextInts (int N) { return IntStream.range(0, N).mapToObj(i -> nextInts()).toArray(int[][]::new); }
//////////////////////////////////////////////
private boolean eol () { return index == line.length; }
private String readLine () {
try {
return r.readLine();
} catch (Exception e) {
throw new Error (e);
}
}
private final java.io.BufferedReader r;
private MyScanner () { this(new java.io.BufferedReader(new java.io.InputStreamReader(System.in))); }
private MyScanner (java.io.BufferedReader r) {
try {
this.r = r;
while (!r.ready())
Thread.sleep(1);
start();
} catch (Exception e) {
throw new Error(e);
}
}
private String [] line;
private int index;
private void newLine () {
if (line == null || eol()) {
line = split(readLine());
index = 0;
}
}
private java.util.stream.Stream<String> nextStream () { return java.util.Arrays.stream(nextStrings()); }
private String [] split (String s) { return s.length() > 0 ? s.split(" ") : new String [0]; }
}
private static String build (Object o, Object ... A) { return buildDelim(" ", o, A); }
private static String buildDelim (String delim, Object o, Object ... A) {
StringBuilder b = new StringBuilder();
append(b, o, delim);
for (Object p : A)
append(b, p, delim);
return b.substring(min(b.length(), delim.length()));
}
//////////////////////////////////////////////////////////////////////////////////
private static java.text.DecimalFormat formatter = new java.text.DecimalFormat("#.#########");
private static void start () { if (t == 0) t = millis(); }
private static void append (java.util.function.Consumer<Object> f, java.util.function.Consumer<Object> g, final Object o) {
if (o.getClass().isArray()) {
int len = java.lang.reflect.Array.getLength(o);
for (int i = 0; i < len; ++i)
f.accept(java.lang.reflect.Array.get(o, i));
}
else if (o instanceof Iterable<?>)
((Iterable<?>)o).forEach(f::accept);
else
g.accept(o instanceof Double ? formatter.format(o) : o);
}
private static void append (final StringBuilder b, Object o, final String delim) {
append(x -> { append(b, x, delim); }, x -> b.append(delim).append(x), o);
}
private static java.io.PrintWriter pw = new java.io.PrintWriter(System.out);
private static void print (Object o, Object ... A) {
String res = build(o, A);
if (DEBUG == 2)
err(res, '(', time(), ')');
if (res.length() > 0)
pw.println(res);
if (DEBUG == 1) {
pw.flush();
System.out.flush();
}
}
private static void err (Object o, Object ... A) { System.err.println(build(o, A)); }
private static int DEBUG;
private static void exit () {
String end = "------------------" + System.lineSeparator() + time();
switch(DEBUG) {
case 1: print(end); break;
case 2: err(end); break;
}
IOUtils.pw.close();
System.out.flush();
System.exit(0);
}
private static long t;
private static long millis () { return System.currentTimeMillis(); }
private static String time () { return "Time: " + (millis() - t) / 1000.0; }
private static void run (int N) {
try { DEBUG = Integer.parseInt(System.getProperties().get("DEBUG").toString()); }
catch (Throwable t) {}
for (int n = 1; n <= N; ++n) {
Object res = new D().solve();
if (res != null) {
@SuppressWarnings("all")
Object o = CONTEST_TYPE == 0 ? "Case #" + n + ": " + build(res) : res;
print(o);
}
}
exit();
}
}
////////////////////////////////////////////////////////////////////////////////////
public static void main (String[] args) {
init();
@SuppressWarnings("all")
int N = CONTEST_TYPE == 1 ? 1 : sc.nextInt();
IOUtils.run(N);
}
}
| 4JAVA
| {
"input": [
"2 3\n16 16 16\n16 16 16\n",
"2 2\n1 2\n2 3\n",
"2 2\n3 11\n12 8\n",
"2 3\n16 16 11\n16 16 16\n",
"2 2\n1 2\n3 3\n",
"2 2\n6 11\n12 8\n",
"2 2\n1 2\n2 5\n",
"2 2\n1 2\n4 3\n",
"2 2\n1 1\n4 3\n",
"2 2\n1 1\n8 3\n",
"2 2\n6 10\n12 8\n",
"1 2\n1 2\n2 0\n",
"2 3\n7 16 5\n9 7 16\n",
"2 2\n0 3\n3 3\n",
"2 2\n6 10\n14 8\n",
"2 2\n1 1\n1 5\n",
"2 2\n1 1\n15 4\n",
"2 3\n0 16 5\n16 9 4\n",
"2 2\n0 1\n3 4\n",
"2 2\n4 7\n12 8\n",
"2 3\n7 16 5\n16 9 14\n",
"2 2\n6 9\n12 8\n",
"2 2\n1 1\n14 5\n",
"2 3\n0 16 5\n16 9 7\n",
"2 3\n12 16 16\n13 14 16\n",
"2 3\n16 16 17\n1 21 16\n",
"2 2\n3 11\n10 0\n",
"2 2\n4 7\n2 8\n",
"2 2\n1 2\n8 2\n",
"2 3\n16 16 15\n12 21 16\n",
"2 2\n6 1\n12 8\n",
"2 3\n12 16 16\n13 14 2\n",
"2 2\n1 2\n5 2\n",
"1 2\n1 4\n0 0\n",
"2 3\n12 15 16\n13 14 2\n",
"1 2\n0 3\n22 2\n",
"2 2\n1 4\n2 0\n",
"1 3\n7 16 5\n16 7 16\n",
"2 3\n16 3 11\n16 21 16\n",
"2 2\n6 10\n8 8\n",
"1 2\n1 1\n8 5\n",
"2 3\n0 16 5\n15 9 16\n",
"2 2\n1 1\n2 5\n",
"2 3\n0 16 5\n16 9 1\n",
"2 3\n3 16 24\n16 16 5\n",
"2 2\n1 1\n16 2\n",
"2 3\n12 4 16\n13 14 16\n",
"2 3\n16 16 15\n8 21 16\n",
"2 3\n12 15 16\n3 14 2\n",
"2 2\n0 2\n15 2\n",
"2 2\n4 11\n13 0\n",
"1 3\n7 11 5\n16 7 16\n",
"2 2\n5 7\n14 8\n",
"2 3\n0 16 5\n13 9 1\n",
"2 2\n1 2\n6 1\n",
"2 2\n5 9\n15 8\n",
"2 3\n7 16 10\n9 1 6\n",
"2 3\n3 9 30\n16 29 16\n",
"2 2\n1 4\n8 1\n",
"2 3\n16 16 15\n5 21 16\n",
"2 2\n0 2\n14 2\n",
"2 3\n0 16 16\n16 4 6\n",
"1 3\n0 14 5\n15 9 16\n",
"2 3\n16 10 14\n16 41 16\n",
"2 2\n5 7\n4 8\n",
"2 3\n24 16 1\n2 16 16\n",
"2 3\n3 14 30\n16 29 16\n",
"2 2\n-1 2\n7 2\n",
"2 2\n0 3\n14 2\n",
"2 3\n3 14 30\n9 29 16\n",
"2 3\n9 15 3\n16 8 16\n",
"2 3\n2 14 30\n3 22 16\n",
"2 3\n9 6 3\n16 8 16\n",
"2 3\n9 5 3\n16 8 16\n",
"2 3\n9 7 3\n16 8 16\n",
"2 2\n1 1\n6 4\n",
"2 3\n7 16 5\n3 7 16\n",
"2 3\n16 16 16\n16 14 11\n",
"2 3\n12 16 16\n16 14 8\n",
"2 2\n6 10\n9 8\n",
"2 2\n3 11\n16 0\n",
"2 2\n4 3\n12 8\n",
"2 3\n7 16 5\n16 9 3\n",
"2 2\n6 13\n12 8\n",
"2 3\n7 16 10\n9 7 2\n",
"2 2\n1 3\n4 3\n",
"2 2\n1 2\n1 1\n",
"2 3\n16 13 31\n1 21 16\n",
"2 2\n0 2\n10 2\n",
"2 2\n1 4\n5 3\n",
"2 3\n7 16 14\n16 9 9\n",
"2 3\n7 10 10\n9 1 16\n",
"1 2\n1 7\n0 0\n",
"1 2\n1 6\n35 0\n",
"2 3\n16 10 28\n16 16 7\n",
"2 2\n4 11\n15 0\n",
"2 2\n5 12\n14 8\n",
"2 3\n7 3 10\n9 1 6\n",
"2 2\n1 4\n1 1\n",
"2 3\n7 16 11\n16 16 16\n",
"2 3\n3 16 16\n16 16 16\n",
"2 2\n1 2\n2 0\n",
"2 2\n4 11\n12 8\n",
"2 3\n7 16 11\n16 9 16\n",
"2 3\n7 16 4\n16 9 16\n",
"2 3\n7 16 5\n16 9 16\n",
"2 3\n7 16 5\n16 7 16\n",
"2 3\n16 16 16\n16 14 16\n",
"2 3\n16 16 11\n16 21 16\n",
"2 2\n0 2\n3 3\n",
"2 2\n4 11\n12 4\n",
"2 2\n1 1\n8 5\n",
"2 2\n1 1\n8 4\n",
"2 3\n0 16 5\n16 9 16\n",
"2 3\n12 16 16\n16 14 16\n",
"2 3\n16 16 17\n16 21 16\n",
"1 2\n1 2\n2 -1\n",
"2 2\n0 3\n3 4\n",
"2 3\n16 16 0\n16 16 16\n",
"2 2\n3 11\n12 0\n",
"2 3\n3 16 24\n16 16 16\n",
"2 2\n1 2\n2 1\n",
"1 2\n1 2\n4 3\n",
"2 3\n7 16 4\n16 4 16\n",
"2 2\n1 1\n8 2\n",
"2 3\n16 16 15\n16 21 16\n",
"2 2\n0 2\n3 2\n",
"1 2\n1 2\n1 0\n",
"2 3\n7 16 10\n9 7 16\n",
"2 2\n1 3\n3 3\n",
"1 2\n1 2\n3 -1\n",
"2 2\n1 1\n1 4\n",
"2 3\n0 16 5\n16 13 4\n",
"2 3\n3 16 30\n16 16 16\n",
"2 2\n0 2\n2 1\n",
"1 2\n2 2\n4 3\n",
"2 3\n7 16 4\n16 9 14\n",
"1 2\n1 2\n0 0\n",
"2 3\n16 16 31\n1 21 16\n",
"2 3\n5 16 30\n16 16 16\n",
"1 2\n0 2\n2 1\n",
"1 2\n2 2\n4 5\n",
"2 3\n7 16 0\n16 9 14\n",
"2 3\n14 16 15\n12 21 16\n",
"2 2\n11 1\n12 8\n",
"2 3\n16 16 45\n1 21 16\n",
"1 2\n1 2\n2 1\n",
"2 2\n0 2\n5 2\n",
"2 3\n7 16 0\n16 1 14\n",
"1 2\n2 2\n2 1\n",
"1 2\n0 2\n5 2\n",
"1 2\n2 2\n1 1\n",
"1 2\n0 2\n9 2\n",
"1 2\n0 2\n15 2\n",
"1 2\n0 2\n22 2\n",
"1 2\n0 3\n22 0\n",
"1 2\n0 3\n35 0\n",
"2 3\n16 16 28\n16 16 16\n",
"2 3\n16 16 11\n16 14 16\n",
"2 3\n7 16 3\n16 16 16\n",
"2 3\n3 16 16\n16 4 16\n",
"2 2\n0 2\n2 5\n",
"2 2\n1 2\n5 3\n",
"2 2\n4 11\n12 0\n",
"2 3\n7 16 14\n16 9 16\n",
"2 2\n2 1\n8 3\n",
"2 3\n7 16 3\n16 9 16\n",
"2 3\n18 16 16\n16 14 16\n",
"1 2\n0 2\n3 3\n",
"1 2\n0 2\n2 -1\n",
"2 2\n1 1\n8 6\n",
"2 3\n16 16 14\n16 21 16\n",
"2 2\n5 10\n14 8\n",
"1 2\n1 2\n0 -1\n",
"2 2\n0 3\n3 2\n",
"1 2\n0 1\n3 4\n",
"2 3\n16 16 1\n16 16 16\n",
"2 2\n5 11\n12 0\n",
"2 2\n1 2\n3 1\n",
"1 2\n0 2\n4 3\n",
"2 3\n7 16 4\n16 1 16\n",
"2 3\n12 16 5\n16 9 14\n",
"2 2\n0 2\n3 4\n",
"2 2\n5 9\n12 8\n",
"2 3\n7 16 10\n9 1 16\n",
"1 2\n1 3\n3 3\n",
"1 2\n1 2\n4 -1\n",
"2 2\n2 1\n1 4\n",
"2 3\n3 16 30\n16 29 16\n",
"2 2\n1 2\n8 1\n",
"1 2\n1 2\n-1 0\n",
"1 2\n0 2\n4 5\n",
"2 2\n1 2\n3 2\n",
"2 3\n14 16 9\n12 21 16\n",
"2 2\n11 1\n12 12\n",
"1 2\n1 4\n0 1\n",
"1 2\n1 4\n2 1\n",
"1 2\n2 1\n2 1\n",
"1 2\n0 2\n7 2\n",
"1 2\n0 2\n14 2\n",
"1 2\n0 3\n29 2\n",
"1 2\n-1 3\n22 0\n",
"1 2\n1 3\n35 0\n"
],
"output": [
"\n16 32 48\n32 48 64\n",
"\n1 2\n2 3\n",
"\n327 583\n408 664\n",
"720720 786256 720720\n786256 720720 786256\n",
"720720 720736\n720801 720720\n",
"720720 735361\n741456 720720\n",
"720720 720736\n720736 720720\n",
"720720 720736\n720976 720720\n",
"720720 720721\n720976 720720\n",
"720720 720721\n724816 720720\n",
"720720 730720\n741456 720720\n",
"720720 720736\n",
"720720 786256 720720\n727281 720720 786256\n",
"720720 720801\n720801 720720\n",
"720720 730720\n759136 720720\n",
"720720 720721\n720721 720720\n",
"720720 720721\n771345 720720\n",
"720720 786256 720720\n786256 720720 720976\n",
"720720 720721\n720801 720720\n",
"720720 723121\n741456 720720\n",
"720720 786256 720720\n786256 720720 759136\n",
"720720 727281\n741456 720720\n",
"720720 720721\n759136 720720\n",
"720720 786256 720720\n786256 720720 723121\n",
"720720 786256 720720\n749281 720720 786256\n",
"720720 786256 720720\n720721 720720 786256\n",
"720720 735361\n730720 720720\n",
"720720 723121\n720736 720720\n",
"720720 720736\n724816 720720\n",
"720720 786256 720720\n741456 720720 786256\n",
"720720 720721\n741456 720720\n",
"720720 786256 720720\n749281 720720 720736\n",
"720720 720736\n721345 720720\n",
"720720 720976\n",
"720720 771345 720720\n749281 720720 720736\n",
"720720 720801\n",
"720720 720976\n720736 720720\n",
"720720 786256 720720\n",
"720720 720801 720720\n786256 720720 786256\n",
"720720 730720\n724816 720720\n",
"720720 720721\n",
"720720 786256 720720\n771345 720720 786256\n",
"720720 720721\n720736 720720\n",
"720720 786256 720720\n786256 720720 720721\n",
"720720 786256 720720\n786256 720720 721345\n",
"720720 720721\n786256 720720\n",
"720720 720976 720720\n749281 720720 786256\n",
"720720 786256 720720\n724816 720720 786256\n",
"720720 771345 720720\n720801 720720 720736\n",
"720720 720736\n771345 720720\n",
"720720 735361\n749281 720720\n",
"720720 735361 720720\n",
"720720 723121\n759136 720720\n",
"720720 786256 720720\n749281 720720 720721\n",
"720720 720736\n722016 720720\n",
"720720 727281\n771345 720720\n",
"720720 786256 720720\n727281 720720 722016\n",
"720720 727281 720720\n786256 720720 786256\n",
"720720 720976\n724816 720720\n",
"720720 786256 720720\n721345 720720 786256\n",
"720720 720736\n759136 720720\n",
"720720 786256 720720\n786256 720720 722016\n",
"720720 759136 720720\n",
"720720 730720 720720\n786256 720720 786256\n",
"720720 723121\n720976 720720\n",
"720720 786256 720720\n720736 720720 786256\n",
"720720 759136 720720\n786256 720720 786256\n",
"720720 720736\n723121 720720\n",
"720720 720801\n759136 720720\n",
"720720 759136 720720\n727281 720720 786256\n",
"720720 771345 720720\n786256 720720 786256\n",
"720720 759136 720720\n720801 720720 786256\n",
"720720 722016 720720\n786256 720720 786256\n",
"720720 721345 720720\n786256 720720 786256\n",
"720720 723121 720720\n786256 720720 786256\n",
"720720 720721\n722016 720720\n",
"720720 786256 720720\n720801 720720 786256\n",
"720720 786256 720720\n786256 720720 735361\n",
"720720 786256 720720\n786256 720720 724816\n",
"720720 730720\n727281 720720\n",
"720720 735361\n786256 720720\n",
"720720 720801\n741456 720720\n",
"720720 786256 720720\n786256 720720 720801\n",
"720720 749281\n741456 720720\n",
"720720 786256 720720\n727281 720720 720736\n",
"720720 720801\n720976 720720\n",
"720720 720736\n720721 720720\n",
"720720 749281 720720\n720721 720720 786256\n",
"720720 720736\n730720 720720\n",
"720720 720976\n721345 720720\n",
"720720 786256 720720\n786256 720720 727281\n",
"720720 730720 720720\n727281 720720 786256\n",
"720720 723121\n",
"720720 722016\n",
"720720 730720 720720\n786256 720720 723121\n",
"720720 735361\n771345 720720\n",
"720720 741456\n759136 720720\n",
"720720 720801 720720\n727281 720720 722016\n",
"720720 720976\n720721 720720\n",
"720720 786256 720720\n786256 720720 786256\n",
"720720 786256 720720\n786256 720720 786256\n",
"720720 720736\n720736 720720\n",
"720720 735361\n741456 720720\n",
"720720 786256 720720\n786256 720720 786256\n",
"720720 786256 720720\n786256 720720 786256\n",
"720720 786256 720720\n786256 720720 786256\n",
"720720 786256 720720\n786256 720720 786256\n",
"720720 786256 720720\n786256 720720 786256\n",
"720720 786256 720720\n786256 720720 786256\n",
"720720 720736\n720801 720720\n",
"720720 735361\n741456 720720\n",
"720720 720721\n724816 720720\n",
"720720 720721\n724816 720720\n",
"720720 786256 720720\n786256 720720 786256\n",
"720720 786256 720720\n786256 720720 786256\n",
"720720 786256 720720\n786256 720720 786256\n",
"720720 720736\n",
"720720 720801\n720801 720720\n",
"720720 786256 720720\n786256 720720 786256\n",
"720720 735361\n741456 720720\n",
"720720 786256 720720\n786256 720720 786256\n",
"720720 720736\n720736 720720\n",
"720720 720736\n",
"720720 786256 720720\n786256 720720 786256\n",
"720720 720721\n724816 720720\n",
"720720 786256 720720\n786256 720720 786256\n",
"720720 720736\n720801 720720\n",
"720720 720736\n",
"720720 786256 720720\n727281 720720 786256\n",
"720720 720801\n720801 720720\n",
"720720 720736\n",
"720720 720721\n720721 720720\n",
"720720 786256 720720\n786256 720720 720976\n",
"720720 786256 720720\n786256 720720 786256\n",
"720720 720736\n720736 720720\n",
"720720 720736\n",
"720720 786256 720720\n786256 720720 759136\n",
"720720 720736\n",
"720720 786256 720720\n720721 720720 786256\n",
"720720 786256 720720\n786256 720720 786256\n",
"720720 720736\n",
"720720 720736\n",
"720720 786256 720720\n786256 720720 759136\n",
"720720 786256 720720\n741456 720720 786256\n",
"720720 720721\n741456 720720\n",
"720720 786256 720720\n720721 720720 786256\n",
"720720 720736\n",
"720720 720736\n721345 720720\n",
"720720 786256 720720\n786256 720720 759136\n",
"720720 720736\n",
"720720 720736\n",
"720720 720736\n",
"720720 720736\n",
"720720 720736\n",
"720720 720736\n",
"720720 720801\n",
"720720 720801\n",
"720720 786256 720720\n786256 720720 786256\n",
"720720 786256 720720\n786256 720720 786256\n",
"720720 786256 720720\n786256 720720 786256\n",
"720720 786256 720720\n786256 720720 786256\n",
"720720 720736\n720736 720720\n",
"720720 720736\n721345 720720\n",
"720720 735361\n741456 720720\n",
"720720 786256 720720\n786256 720720 786256\n",
"720720 720721\n724816 720720\n",
"720720 786256 720720\n786256 720720 786256\n",
"720720 786256 720720\n786256 720720 786256\n",
"720720 720736\n",
"720720 720736\n",
"720720 720721\n724816 720720\n",
"720720 786256 720720\n786256 720720 786256\n",
"720720 730720\n759136 720720\n",
"720720 720736\n",
"720720 720801\n720801 720720\n",
"720720 720721\n",
"720720 786256 720720\n786256 720720 786256\n",
"720720 735361\n741456 720720\n",
"720720 720736\n720801 720720\n",
"720720 720736\n",
"720720 786256 720720\n786256 720720 786256\n",
"720720 786256 720720\n786256 720720 759136\n",
"720720 720736\n720801 720720\n",
"720720 727281\n741456 720720\n",
"720720 786256 720720\n727281 720720 786256\n",
"720720 720801\n",
"720720 720736\n",
"720720 720721\n720721 720720\n",
"720720 786256 720720\n786256 720720 786256\n",
"720720 720736\n724816 720720\n",
"720720 720736\n",
"720720 720736\n",
"720720 720736\n720801 720720\n",
"720720 786256 720720\n741456 720720 786256\n",
"720720 720721\n741456 720720\n",
"720720 720976\n",
"720720 720976\n",
"720720 720721\n",
"720720 720736\n",
"720720 720736\n",
"720720 720801\n",
"720720 720801\n",
"720720 720801\n"
]
} | 2CODEFORCES
|
150_B. Quantity of Strings_38226 | Just in case somebody missed it: this winter is totally cold in Nvodsk! It is so cold that one gets funny thoughts. For example, let's say there are strings with the length exactly n, based on the alphabet of size m. Any its substring with length equal to k is a palindrome. How many such strings exist? Your task is to find their quantity modulo 1000000007 (109 + 7). Be careful and don't miss a string or two!
Let us remind you that a string is a palindrome if it can be read the same way in either direction, from the left to the right and from the right to the left.
Input
The first and only line contains three integers: n, m and k (1 ≤ n, m, k ≤ 2000).
Output
Print a single integer — the number of strings of the described type modulo 1000000007 (109 + 7).
Examples
Input
1 1 1
Output
1
Input
5 2 4
Output
2
Note
In the first sample only one string is valid: "a" (let's denote the only letter of our alphabet as "a").
In the second sample (if we denote the alphabet letters as "a" and "b") the following strings are valid: "aaaaa" and "bbbbb". | n,m,k = map(int,raw_input().split())
if k==1 or n<k: p=n
elif n==k: p=n//2+n%2
else:
p=1+k%2
r=1
for i in range(p):
r=(r*m)%1000000007
print r
| 1Python2
| {
"input": [
"1 1 1\n",
"5 2 4\n",
"784 1 1999\n",
"1000 2 1\n",
"341 9 342\n",
"4 4 1\n",
"7 10 7\n",
"13 9 1\n",
"100 5 1\n",
"239 123 239\n",
"7 4 20\n",
"1501 893 1501\n",
"10 25 8\n",
"5 4 5\n",
"5 5 5\n",
"345 1777 1\n",
"5 2 5\n",
"10 2 1\n",
"2000 2000 1\n",
"2000 1999 1999\n",
"777 1 777\n",
"1000 1000 1000\n",
"3 1000 3\n",
"100 100 100\n",
"100 10 100\n",
"1451 239 1451\n",
"542 13 542\n",
"7 2 7\n",
"15 1 15\n",
"200 200 200\n",
"10 10 1\n",
"1764 305 843\n",
"10 23 9\n",
"10 10 90\n",
"10 10 10\n",
"4 256 1\n",
"5 2 1\n",
"17 5 1\n",
"1984 1847 1992\n",
"2000 2 10\n",
"1999 98 132\n",
"4 4 4\n",
"1000 1000 1\n",
"100 100 1\n",
"1 2000 2000\n",
"100 1000 1\n",
"11 2 11\n",
"8 13 9\n",
"100 7 3\n",
"1230 987 1\n",
"5 5 1\n",
"20 3 3\n",
"15 5 1\n",
"2000 2000 2000\n",
"2000 2000 1000\n",
"1000 2 1001\n",
"13 13 13\n",
"3 3 3\n",
"11 2 5\n",
"6 6 6\n",
"1678 1999 1234\n",
"1321 95 2\n",
"1999 2000 2000\n",
"2000 1000 3\n",
"1999 1999 1999\n",
"8 2 8\n",
"1769 849 1000\n",
"10 5 1\n",
"997 1752 1000\n",
"3 5 3\n",
"784 1 3780\n",
"1100 2 1\n",
"341 6 342\n",
"4 4 2\n",
"7 6 7\n",
"4 9 1\n",
"100 8 1\n",
"239 120 239\n",
"7 6 20\n",
"1501 893 2123\n",
"10 8 8\n",
"10 4 5\n",
"5 5 4\n",
"5 0 5\n",
"10 4 1\n",
"1065 2000 1\n",
"777 2 777\n",
"1000 1000 1010\n",
"3 1000 2\n",
"110 100 100\n",
"101 10 100\n",
"1451 91 1451\n",
"542 13 171\n",
"7 3 7\n",
"200 372 200\n",
"10 3 1\n",
"1764 305 891\n",
"10 23 14\n",
"10 10 102\n",
"10 8 10\n",
"17 4 1\n",
"1006 2 10\n",
"1999 69 132\n",
"1010 1000 1\n",
"1 2059 2000\n",
"8 2 9\n",
"100 7 4\n",
"1230 343 1\n",
"5 4 1\n",
"30 3 3\n",
"13 5 1\n",
"2000 2000 2872\n",
"2000 1634 1000\n",
"3 3 6\n",
"6 9 6\n",
"1678 2574 1234\n",
"691 95 2\n",
"1999 2000 1034\n",
"2000 1000 1\n",
"1999 1421 1999\n",
"1769 849 1010\n",
"1030 1752 1000\n",
"3 6 3\n",
"5 2 7\n",
"1100 3 1\n",
"341 6 58\n",
"110 8 1\n",
"99 120 239\n",
"11 6 20\n",
"10 5 5\n",
"1010 1000 1010\n",
"3 1001 3\n",
"1451 120 1451\n",
"15 0 15\n",
"7 4 4\n",
"11 0 11\n",
"1000 1 1001\n",
"26 13 13\n",
"13 2 5\n",
"8 3 8\n",
"10 5 2\n",
"1 0 1\n",
"784 1 1498\n",
"7 1 7\n",
"1 9 1\n",
"1501 893 3116\n",
"11 8 8\n",
"6 5 4\n",
"5 0 8\n",
"2 4 1\n",
"777 0 777\n",
"111 100 100\n",
"853 13 171\n"
],
"output": [
"1\n",
"2\n",
"1\n",
"688423210\n",
"320920086\n",
"256\n",
"10000\n",
"865810542\n",
"146981449\n",
"221051222\n",
"16384\n",
"889854713\n",
"25\n",
"64\n",
"125\n",
"756253754\n",
"8\n",
"1024\n",
"596636543\n",
"3996001\n",
"1\n",
"850431726\n",
"1000000\n",
"226732710\n",
"319300014\n",
"968856942\n",
"490685740\n",
"16\n",
"1\n",
"104842676\n",
"999999937\n",
"93025\n",
"529\n",
"999999937\n",
"100000\n",
"294967268\n",
"32\n",
"939447791\n",
"345702953\n",
"2\n",
"98\n",
"16\n",
"524700271\n",
"424090053\n",
"2000\n",
"327648028\n",
"64\n",
"815730721\n",
"49\n",
"890209975\n",
"3125\n",
"9\n",
"517577915\n",
"321179016\n",
"2000\n",
"688423210\n",
"62748517\n",
"9\n",
"4\n",
"216\n",
"1999\n",
"95\n",
"675798323\n",
"1000000\n",
"21610777\n",
"16\n",
"849\n",
"9765625\n",
"184834849\n",
"25\n",
"1\n",
"466428307\n",
"724097405\n",
"4\n",
"1296\n",
"6561\n",
"322050759\n",
"897195944\n",
"279936\n",
"287464081\n",
"8\n",
"16\n",
"5\n",
"0\n",
"1048576\n",
"310373516\n",
"626073719\n",
"524700271\n",
"1000\n",
"100\n",
"10\n",
"510127432\n",
"169\n",
"81\n",
"42374121\n",
"59049\n",
"93025\n",
"510923667\n",
"999999937\n",
"32768\n",
"179869065\n",
"2\n",
"69\n",
"808306811\n",
"2059\n",
"256\n",
"7\n",
"583278788\n",
"1024\n",
"9\n",
"220703118\n",
"596636543\n",
"1634\n",
"27\n",
"729\n",
"2574\n",
"95\n",
"2000\n",
"460300837\n",
"965919596\n",
"849\n",
"1752\n",
"36\n",
"32\n",
"508581046\n",
"6\n",
"968648854\n",
"761320102\n",
"362797056\n",
"25\n",
"959671161\n",
"1002001\n",
"885367366\n",
"0\n",
"4\n",
"0\n",
"1\n",
"169\n",
"4\n",
"81\n",
"5\n",
"0\n",
"1\n",
"1\n",
"9\n",
"287464081\n",
"8\n",
"5\n",
"0\n",
"16\n",
"0\n",
"100\n",
"169\n"
]
} | 2CODEFORCES
|
150_B. Quantity of Strings_38227 | Just in case somebody missed it: this winter is totally cold in Nvodsk! It is so cold that one gets funny thoughts. For example, let's say there are strings with the length exactly n, based on the alphabet of size m. Any its substring with length equal to k is a palindrome. How many such strings exist? Your task is to find their quantity modulo 1000000007 (109 + 7). Be careful and don't miss a string or two!
Let us remind you that a string is a palindrome if it can be read the same way in either direction, from the left to the right and from the right to the left.
Input
The first and only line contains three integers: n, m and k (1 ≤ n, m, k ≤ 2000).
Output
Print a single integer — the number of strings of the described type modulo 1000000007 (109 + 7).
Examples
Input
1 1 1
Output
1
Input
5 2 4
Output
2
Note
In the first sample only one string is valid: "a" (let's denote the only letter of our alphabet as "a").
In the second sample (if we denote the alphabet letters as "a" and "b") the following strings are valid: "aaaaa" and "bbbbb". | #include <bits/stdc++.h>
using namespace std;
long long int N, M, K;
int main(void) {
cin >> N >> M >> K;
if (K > N) {
long long int Sol = 1LL;
for (int i = 0; i < N; i++) Sol = (Sol * M) % 1000000007LL;
cout << Sol << endl;
return 0;
}
if (K == N) {
long long int Sol = 1LL;
for (int i = 0; i < (N + 1) / 2; i++) Sol = (Sol * M) % 1000000007LL;
cout << Sol << endl;
return 0;
}
if (K == 1) {
long long int Sol = 1LL;
for (int i = 0; i < N; i++) Sol = (Sol * M) % 1000000007LL;
cout << Sol << endl;
return 0;
}
if (K % 2 == 1) {
cout << (M * M) % 1000000007LL << endl;
return 0;
}
cout << M << endl;
return 0;
}
| 2C++
| {
"input": [
"1 1 1\n",
"5 2 4\n",
"784 1 1999\n",
"1000 2 1\n",
"341 9 342\n",
"4 4 1\n",
"7 10 7\n",
"13 9 1\n",
"100 5 1\n",
"239 123 239\n",
"7 4 20\n",
"1501 893 1501\n",
"10 25 8\n",
"5 4 5\n",
"5 5 5\n",
"345 1777 1\n",
"5 2 5\n",
"10 2 1\n",
"2000 2000 1\n",
"2000 1999 1999\n",
"777 1 777\n",
"1000 1000 1000\n",
"3 1000 3\n",
"100 100 100\n",
"100 10 100\n",
"1451 239 1451\n",
"542 13 542\n",
"7 2 7\n",
"15 1 15\n",
"200 200 200\n",
"10 10 1\n",
"1764 305 843\n",
"10 23 9\n",
"10 10 90\n",
"10 10 10\n",
"4 256 1\n",
"5 2 1\n",
"17 5 1\n",
"1984 1847 1992\n",
"2000 2 10\n",
"1999 98 132\n",
"4 4 4\n",
"1000 1000 1\n",
"100 100 1\n",
"1 2000 2000\n",
"100 1000 1\n",
"11 2 11\n",
"8 13 9\n",
"100 7 3\n",
"1230 987 1\n",
"5 5 1\n",
"20 3 3\n",
"15 5 1\n",
"2000 2000 2000\n",
"2000 2000 1000\n",
"1000 2 1001\n",
"13 13 13\n",
"3 3 3\n",
"11 2 5\n",
"6 6 6\n",
"1678 1999 1234\n",
"1321 95 2\n",
"1999 2000 2000\n",
"2000 1000 3\n",
"1999 1999 1999\n",
"8 2 8\n",
"1769 849 1000\n",
"10 5 1\n",
"997 1752 1000\n",
"3 5 3\n",
"784 1 3780\n",
"1100 2 1\n",
"341 6 342\n",
"4 4 2\n",
"7 6 7\n",
"4 9 1\n",
"100 8 1\n",
"239 120 239\n",
"7 6 20\n",
"1501 893 2123\n",
"10 8 8\n",
"10 4 5\n",
"5 5 4\n",
"5 0 5\n",
"10 4 1\n",
"1065 2000 1\n",
"777 2 777\n",
"1000 1000 1010\n",
"3 1000 2\n",
"110 100 100\n",
"101 10 100\n",
"1451 91 1451\n",
"542 13 171\n",
"7 3 7\n",
"200 372 200\n",
"10 3 1\n",
"1764 305 891\n",
"10 23 14\n",
"10 10 102\n",
"10 8 10\n",
"17 4 1\n",
"1006 2 10\n",
"1999 69 132\n",
"1010 1000 1\n",
"1 2059 2000\n",
"8 2 9\n",
"100 7 4\n",
"1230 343 1\n",
"5 4 1\n",
"30 3 3\n",
"13 5 1\n",
"2000 2000 2872\n",
"2000 1634 1000\n",
"3 3 6\n",
"6 9 6\n",
"1678 2574 1234\n",
"691 95 2\n",
"1999 2000 1034\n",
"2000 1000 1\n",
"1999 1421 1999\n",
"1769 849 1010\n",
"1030 1752 1000\n",
"3 6 3\n",
"5 2 7\n",
"1100 3 1\n",
"341 6 58\n",
"110 8 1\n",
"99 120 239\n",
"11 6 20\n",
"10 5 5\n",
"1010 1000 1010\n",
"3 1001 3\n",
"1451 120 1451\n",
"15 0 15\n",
"7 4 4\n",
"11 0 11\n",
"1000 1 1001\n",
"26 13 13\n",
"13 2 5\n",
"8 3 8\n",
"10 5 2\n",
"1 0 1\n",
"784 1 1498\n",
"7 1 7\n",
"1 9 1\n",
"1501 893 3116\n",
"11 8 8\n",
"6 5 4\n",
"5 0 8\n",
"2 4 1\n",
"777 0 777\n",
"111 100 100\n",
"853 13 171\n"
],
"output": [
"1\n",
"2\n",
"1\n",
"688423210\n",
"320920086\n",
"256\n",
"10000\n",
"865810542\n",
"146981449\n",
"221051222\n",
"16384\n",
"889854713\n",
"25\n",
"64\n",
"125\n",
"756253754\n",
"8\n",
"1024\n",
"596636543\n",
"3996001\n",
"1\n",
"850431726\n",
"1000000\n",
"226732710\n",
"319300014\n",
"968856942\n",
"490685740\n",
"16\n",
"1\n",
"104842676\n",
"999999937\n",
"93025\n",
"529\n",
"999999937\n",
"100000\n",
"294967268\n",
"32\n",
"939447791\n",
"345702953\n",
"2\n",
"98\n",
"16\n",
"524700271\n",
"424090053\n",
"2000\n",
"327648028\n",
"64\n",
"815730721\n",
"49\n",
"890209975\n",
"3125\n",
"9\n",
"517577915\n",
"321179016\n",
"2000\n",
"688423210\n",
"62748517\n",
"9\n",
"4\n",
"216\n",
"1999\n",
"95\n",
"675798323\n",
"1000000\n",
"21610777\n",
"16\n",
"849\n",
"9765625\n",
"184834849\n",
"25\n",
"1\n",
"466428307\n",
"724097405\n",
"4\n",
"1296\n",
"6561\n",
"322050759\n",
"897195944\n",
"279936\n",
"287464081\n",
"8\n",
"16\n",
"5\n",
"0\n",
"1048576\n",
"310373516\n",
"626073719\n",
"524700271\n",
"1000\n",
"100\n",
"10\n",
"510127432\n",
"169\n",
"81\n",
"42374121\n",
"59049\n",
"93025\n",
"510923667\n",
"999999937\n",
"32768\n",
"179869065\n",
"2\n",
"69\n",
"808306811\n",
"2059\n",
"256\n",
"7\n",
"583278788\n",
"1024\n",
"9\n",
"220703118\n",
"596636543\n",
"1634\n",
"27\n",
"729\n",
"2574\n",
"95\n",
"2000\n",
"460300837\n",
"965919596\n",
"849\n",
"1752\n",
"36\n",
"32\n",
"508581046\n",
"6\n",
"968648854\n",
"761320102\n",
"362797056\n",
"25\n",
"959671161\n",
"1002001\n",
"885367366\n",
"0\n",
"4\n",
"0\n",
"1\n",
"169\n",
"4\n",
"81\n",
"5\n",
"0\n",
"1\n",
"1\n",
"9\n",
"287464081\n",
"8\n",
"5\n",
"0\n",
"16\n",
"0\n",
"100\n",
"169\n"
]
} | 2CODEFORCES
|
150_B. Quantity of Strings_38228 | Just in case somebody missed it: this winter is totally cold in Nvodsk! It is so cold that one gets funny thoughts. For example, let's say there are strings with the length exactly n, based on the alphabet of size m. Any its substring with length equal to k is a palindrome. How many such strings exist? Your task is to find their quantity modulo 1000000007 (109 + 7). Be careful and don't miss a string or two!
Let us remind you that a string is a palindrome if it can be read the same way in either direction, from the left to the right and from the right to the left.
Input
The first and only line contains three integers: n, m and k (1 ≤ n, m, k ≤ 2000).
Output
Print a single integer — the number of strings of the described type modulo 1000000007 (109 + 7).
Examples
Input
1 1 1
Output
1
Input
5 2 4
Output
2
Note
In the first sample only one string is valid: "a" (let's denote the only letter of our alphabet as "a").
In the second sample (if we denote the alphabet letters as "a" and "b") the following strings are valid: "aaaaa" and "bbbbb". |
n,m,k = map(int,input().split())
mod = 10**9 + 7
if k == 1 or k>n:
print(pow(m,n,mod))
elif k == n:
print(pow(m,(n+1)//2,mod))
elif k%2== 0:
print(m%mod)
else:
print(pow(m,2,mod))
| 3Python3
| {
"input": [
"1 1 1\n",
"5 2 4\n",
"784 1 1999\n",
"1000 2 1\n",
"341 9 342\n",
"4 4 1\n",
"7 10 7\n",
"13 9 1\n",
"100 5 1\n",
"239 123 239\n",
"7 4 20\n",
"1501 893 1501\n",
"10 25 8\n",
"5 4 5\n",
"5 5 5\n",
"345 1777 1\n",
"5 2 5\n",
"10 2 1\n",
"2000 2000 1\n",
"2000 1999 1999\n",
"777 1 777\n",
"1000 1000 1000\n",
"3 1000 3\n",
"100 100 100\n",
"100 10 100\n",
"1451 239 1451\n",
"542 13 542\n",
"7 2 7\n",
"15 1 15\n",
"200 200 200\n",
"10 10 1\n",
"1764 305 843\n",
"10 23 9\n",
"10 10 90\n",
"10 10 10\n",
"4 256 1\n",
"5 2 1\n",
"17 5 1\n",
"1984 1847 1992\n",
"2000 2 10\n",
"1999 98 132\n",
"4 4 4\n",
"1000 1000 1\n",
"100 100 1\n",
"1 2000 2000\n",
"100 1000 1\n",
"11 2 11\n",
"8 13 9\n",
"100 7 3\n",
"1230 987 1\n",
"5 5 1\n",
"20 3 3\n",
"15 5 1\n",
"2000 2000 2000\n",
"2000 2000 1000\n",
"1000 2 1001\n",
"13 13 13\n",
"3 3 3\n",
"11 2 5\n",
"6 6 6\n",
"1678 1999 1234\n",
"1321 95 2\n",
"1999 2000 2000\n",
"2000 1000 3\n",
"1999 1999 1999\n",
"8 2 8\n",
"1769 849 1000\n",
"10 5 1\n",
"997 1752 1000\n",
"3 5 3\n",
"784 1 3780\n",
"1100 2 1\n",
"341 6 342\n",
"4 4 2\n",
"7 6 7\n",
"4 9 1\n",
"100 8 1\n",
"239 120 239\n",
"7 6 20\n",
"1501 893 2123\n",
"10 8 8\n",
"10 4 5\n",
"5 5 4\n",
"5 0 5\n",
"10 4 1\n",
"1065 2000 1\n",
"777 2 777\n",
"1000 1000 1010\n",
"3 1000 2\n",
"110 100 100\n",
"101 10 100\n",
"1451 91 1451\n",
"542 13 171\n",
"7 3 7\n",
"200 372 200\n",
"10 3 1\n",
"1764 305 891\n",
"10 23 14\n",
"10 10 102\n",
"10 8 10\n",
"17 4 1\n",
"1006 2 10\n",
"1999 69 132\n",
"1010 1000 1\n",
"1 2059 2000\n",
"8 2 9\n",
"100 7 4\n",
"1230 343 1\n",
"5 4 1\n",
"30 3 3\n",
"13 5 1\n",
"2000 2000 2872\n",
"2000 1634 1000\n",
"3 3 6\n",
"6 9 6\n",
"1678 2574 1234\n",
"691 95 2\n",
"1999 2000 1034\n",
"2000 1000 1\n",
"1999 1421 1999\n",
"1769 849 1010\n",
"1030 1752 1000\n",
"3 6 3\n",
"5 2 7\n",
"1100 3 1\n",
"341 6 58\n",
"110 8 1\n",
"99 120 239\n",
"11 6 20\n",
"10 5 5\n",
"1010 1000 1010\n",
"3 1001 3\n",
"1451 120 1451\n",
"15 0 15\n",
"7 4 4\n",
"11 0 11\n",
"1000 1 1001\n",
"26 13 13\n",
"13 2 5\n",
"8 3 8\n",
"10 5 2\n",
"1 0 1\n",
"784 1 1498\n",
"7 1 7\n",
"1 9 1\n",
"1501 893 3116\n",
"11 8 8\n",
"6 5 4\n",
"5 0 8\n",
"2 4 1\n",
"777 0 777\n",
"111 100 100\n",
"853 13 171\n"
],
"output": [
"1\n",
"2\n",
"1\n",
"688423210\n",
"320920086\n",
"256\n",
"10000\n",
"865810542\n",
"146981449\n",
"221051222\n",
"16384\n",
"889854713\n",
"25\n",
"64\n",
"125\n",
"756253754\n",
"8\n",
"1024\n",
"596636543\n",
"3996001\n",
"1\n",
"850431726\n",
"1000000\n",
"226732710\n",
"319300014\n",
"968856942\n",
"490685740\n",
"16\n",
"1\n",
"104842676\n",
"999999937\n",
"93025\n",
"529\n",
"999999937\n",
"100000\n",
"294967268\n",
"32\n",
"939447791\n",
"345702953\n",
"2\n",
"98\n",
"16\n",
"524700271\n",
"424090053\n",
"2000\n",
"327648028\n",
"64\n",
"815730721\n",
"49\n",
"890209975\n",
"3125\n",
"9\n",
"517577915\n",
"321179016\n",
"2000\n",
"688423210\n",
"62748517\n",
"9\n",
"4\n",
"216\n",
"1999\n",
"95\n",
"675798323\n",
"1000000\n",
"21610777\n",
"16\n",
"849\n",
"9765625\n",
"184834849\n",
"25\n",
"1\n",
"466428307\n",
"724097405\n",
"4\n",
"1296\n",
"6561\n",
"322050759\n",
"897195944\n",
"279936\n",
"287464081\n",
"8\n",
"16\n",
"5\n",
"0\n",
"1048576\n",
"310373516\n",
"626073719\n",
"524700271\n",
"1000\n",
"100\n",
"10\n",
"510127432\n",
"169\n",
"81\n",
"42374121\n",
"59049\n",
"93025\n",
"510923667\n",
"999999937\n",
"32768\n",
"179869065\n",
"2\n",
"69\n",
"808306811\n",
"2059\n",
"256\n",
"7\n",
"583278788\n",
"1024\n",
"9\n",
"220703118\n",
"596636543\n",
"1634\n",
"27\n",
"729\n",
"2574\n",
"95\n",
"2000\n",
"460300837\n",
"965919596\n",
"849\n",
"1752\n",
"36\n",
"32\n",
"508581046\n",
"6\n",
"968648854\n",
"761320102\n",
"362797056\n",
"25\n",
"959671161\n",
"1002001\n",
"885367366\n",
"0\n",
"4\n",
"0\n",
"1\n",
"169\n",
"4\n",
"81\n",
"5\n",
"0\n",
"1\n",
"1\n",
"9\n",
"287464081\n",
"8\n",
"5\n",
"0\n",
"16\n",
"0\n",
"100\n",
"169\n"
]
} | 2CODEFORCES
|
150_B. Quantity of Strings_38229 | Just in case somebody missed it: this winter is totally cold in Nvodsk! It is so cold that one gets funny thoughts. For example, let's say there are strings with the length exactly n, based on the alphabet of size m. Any its substring with length equal to k is a palindrome. How many such strings exist? Your task is to find their quantity modulo 1000000007 (109 + 7). Be careful and don't miss a string or two!
Let us remind you that a string is a palindrome if it can be read the same way in either direction, from the left to the right and from the right to the left.
Input
The first and only line contains three integers: n, m and k (1 ≤ n, m, k ≤ 2000).
Output
Print a single integer — the number of strings of the described type modulo 1000000007 (109 + 7).
Examples
Input
1 1 1
Output
1
Input
5 2 4
Output
2
Note
In the first sample only one string is valid: "a" (let's denote the only letter of our alphabet as "a").
In the second sample (if we denote the alphabet letters as "a" and "b") the following strings are valid: "aaaaa" and "bbbbb". | import java.io.PrintWriter;
import java.util.Scanner;
public class Main {
public static void main(String[] argv) {
new Main().run();
}
void run() {
in = new Scanner(System.in);
out = new PrintWriter(System.out);
try {
solve();
} finally {
out.close();
}
}
PrintWriter out;
Scanner in;
int mod = 1000000007;
long pow(long a, int n) {
long res = 1;
while (n > 0) {
if ((n & 1) == 1) {
res *= a;
res %= mod;
}
a *= a;
a %= mod;
n >>= 1;
}
return res % mod;
}
void solve() {
int n = in.nextInt();
int m = in.nextInt();
int k = in.nextInt();
if (k == 1) {
out.println(pow(m, n));
return;
}
if (k > n) {
out.println(pow(m, n));
return;
}
if (k == n) {
out.println(pow(m, (n - 1) / 2 + 1));
return;
}
if ((k & 1) == 1) {
out.println(pow(m, 2));
} else {
out.println(m);
}
}
} | 4JAVA
| {
"input": [
"1 1 1\n",
"5 2 4\n",
"784 1 1999\n",
"1000 2 1\n",
"341 9 342\n",
"4 4 1\n",
"7 10 7\n",
"13 9 1\n",
"100 5 1\n",
"239 123 239\n",
"7 4 20\n",
"1501 893 1501\n",
"10 25 8\n",
"5 4 5\n",
"5 5 5\n",
"345 1777 1\n",
"5 2 5\n",
"10 2 1\n",
"2000 2000 1\n",
"2000 1999 1999\n",
"777 1 777\n",
"1000 1000 1000\n",
"3 1000 3\n",
"100 100 100\n",
"100 10 100\n",
"1451 239 1451\n",
"542 13 542\n",
"7 2 7\n",
"15 1 15\n",
"200 200 200\n",
"10 10 1\n",
"1764 305 843\n",
"10 23 9\n",
"10 10 90\n",
"10 10 10\n",
"4 256 1\n",
"5 2 1\n",
"17 5 1\n",
"1984 1847 1992\n",
"2000 2 10\n",
"1999 98 132\n",
"4 4 4\n",
"1000 1000 1\n",
"100 100 1\n",
"1 2000 2000\n",
"100 1000 1\n",
"11 2 11\n",
"8 13 9\n",
"100 7 3\n",
"1230 987 1\n",
"5 5 1\n",
"20 3 3\n",
"15 5 1\n",
"2000 2000 2000\n",
"2000 2000 1000\n",
"1000 2 1001\n",
"13 13 13\n",
"3 3 3\n",
"11 2 5\n",
"6 6 6\n",
"1678 1999 1234\n",
"1321 95 2\n",
"1999 2000 2000\n",
"2000 1000 3\n",
"1999 1999 1999\n",
"8 2 8\n",
"1769 849 1000\n",
"10 5 1\n",
"997 1752 1000\n",
"3 5 3\n",
"784 1 3780\n",
"1100 2 1\n",
"341 6 342\n",
"4 4 2\n",
"7 6 7\n",
"4 9 1\n",
"100 8 1\n",
"239 120 239\n",
"7 6 20\n",
"1501 893 2123\n",
"10 8 8\n",
"10 4 5\n",
"5 5 4\n",
"5 0 5\n",
"10 4 1\n",
"1065 2000 1\n",
"777 2 777\n",
"1000 1000 1010\n",
"3 1000 2\n",
"110 100 100\n",
"101 10 100\n",
"1451 91 1451\n",
"542 13 171\n",
"7 3 7\n",
"200 372 200\n",
"10 3 1\n",
"1764 305 891\n",
"10 23 14\n",
"10 10 102\n",
"10 8 10\n",
"17 4 1\n",
"1006 2 10\n",
"1999 69 132\n",
"1010 1000 1\n",
"1 2059 2000\n",
"8 2 9\n",
"100 7 4\n",
"1230 343 1\n",
"5 4 1\n",
"30 3 3\n",
"13 5 1\n",
"2000 2000 2872\n",
"2000 1634 1000\n",
"3 3 6\n",
"6 9 6\n",
"1678 2574 1234\n",
"691 95 2\n",
"1999 2000 1034\n",
"2000 1000 1\n",
"1999 1421 1999\n",
"1769 849 1010\n",
"1030 1752 1000\n",
"3 6 3\n",
"5 2 7\n",
"1100 3 1\n",
"341 6 58\n",
"110 8 1\n",
"99 120 239\n",
"11 6 20\n",
"10 5 5\n",
"1010 1000 1010\n",
"3 1001 3\n",
"1451 120 1451\n",
"15 0 15\n",
"7 4 4\n",
"11 0 11\n",
"1000 1 1001\n",
"26 13 13\n",
"13 2 5\n",
"8 3 8\n",
"10 5 2\n",
"1 0 1\n",
"784 1 1498\n",
"7 1 7\n",
"1 9 1\n",
"1501 893 3116\n",
"11 8 8\n",
"6 5 4\n",
"5 0 8\n",
"2 4 1\n",
"777 0 777\n",
"111 100 100\n",
"853 13 171\n"
],
"output": [
"1\n",
"2\n",
"1\n",
"688423210\n",
"320920086\n",
"256\n",
"10000\n",
"865810542\n",
"146981449\n",
"221051222\n",
"16384\n",
"889854713\n",
"25\n",
"64\n",
"125\n",
"756253754\n",
"8\n",
"1024\n",
"596636543\n",
"3996001\n",
"1\n",
"850431726\n",
"1000000\n",
"226732710\n",
"319300014\n",
"968856942\n",
"490685740\n",
"16\n",
"1\n",
"104842676\n",
"999999937\n",
"93025\n",
"529\n",
"999999937\n",
"100000\n",
"294967268\n",
"32\n",
"939447791\n",
"345702953\n",
"2\n",
"98\n",
"16\n",
"524700271\n",
"424090053\n",
"2000\n",
"327648028\n",
"64\n",
"815730721\n",
"49\n",
"890209975\n",
"3125\n",
"9\n",
"517577915\n",
"321179016\n",
"2000\n",
"688423210\n",
"62748517\n",
"9\n",
"4\n",
"216\n",
"1999\n",
"95\n",
"675798323\n",
"1000000\n",
"21610777\n",
"16\n",
"849\n",
"9765625\n",
"184834849\n",
"25\n",
"1\n",
"466428307\n",
"724097405\n",
"4\n",
"1296\n",
"6561\n",
"322050759\n",
"897195944\n",
"279936\n",
"287464081\n",
"8\n",
"16\n",
"5\n",
"0\n",
"1048576\n",
"310373516\n",
"626073719\n",
"524700271\n",
"1000\n",
"100\n",
"10\n",
"510127432\n",
"169\n",
"81\n",
"42374121\n",
"59049\n",
"93025\n",
"510923667\n",
"999999937\n",
"32768\n",
"179869065\n",
"2\n",
"69\n",
"808306811\n",
"2059\n",
"256\n",
"7\n",
"583278788\n",
"1024\n",
"9\n",
"220703118\n",
"596636543\n",
"1634\n",
"27\n",
"729\n",
"2574\n",
"95\n",
"2000\n",
"460300837\n",
"965919596\n",
"849\n",
"1752\n",
"36\n",
"32\n",
"508581046\n",
"6\n",
"968648854\n",
"761320102\n",
"362797056\n",
"25\n",
"959671161\n",
"1002001\n",
"885367366\n",
"0\n",
"4\n",
"0\n",
"1\n",
"169\n",
"4\n",
"81\n",
"5\n",
"0\n",
"1\n",
"1\n",
"9\n",
"287464081\n",
"8\n",
"5\n",
"0\n",
"16\n",
"0\n",
"100\n",
"169\n"
]
} | 2CODEFORCES
|
1535_F. String Distance_38230 | Suppose you are given two strings a and b. You can apply the following operation any number of times: choose any contiguous substring of a or b, and sort the characters in it in non-descending order. Let f(a, b) the minimum number of operations you have to apply in order to make them equal (or f(a, b) = 1337 if it is impossible to make a and b equal using these operations).
For example:
* f(ab, ab) = 0;
* f(ba, ab) = 1 (in one operation, we can sort the whole first string);
* f(ebcda, ecdba) = 1 (in one operation, we can sort the substring of the second string starting from the 2-nd character and ending with the 4-th character);
* f(a, b) = 1337.
You are given n strings s_1, s_2, ..., s_k having equal length. Calculate ∑ _{i = 1}^{n} ∑_{j = i + 1}^{n} f(s_i, s_j).
Input
The first line contains one integer n (1 ≤ n ≤ 2 ⋅ 10^5) — the number of strings.
Then n lines follow, each line contains one of the strings s_i, consisting of lowercase Latin letters. |s_1| = |s_2| = … = |s_n|, and n ⋅ |s_1| ≤ 2 ⋅ 10^5. All these strings are pairwise distinct.
Output
Print one integer: ∑ _{i = 1}^{n} ∑_{j = i + 1}^{n} f(s_i, s_j).
Examples
Input
4
zzz
bac
abc
acb
Output
4015
Input
2
a
b
Output
1337 | #include <bits/stdc++.h>
const int B=200;
typedef long long ll;
using namespace std;
int T,n,m,l;
map<string,vector<string> >V;
map<string,bool>vis;
string s,t;
int main(){
ios_base::sync_with_stdio(0), cin.tie(0);
cin>>n;
for(int i=1;i<=n;i++){
cin>>s;t=s;
sort(t.begin(),t.end());
V[t].push_back(s);
}
l=s.size();
ll ans=0,sum=0;
for(auto it:V){
auto &v=it.second;
m=v.size(),ans+=sum*m*1337,sum+=m;
if(m<=200*l){
for(int i=0;i<m;i++) for(int j=i+1;j<m;j++){
int L=0,R=l-1;
while(v[i][L]==v[j][L]&&L<=R) L++;
while(v[i][R]==v[j][R]&&L<=R) R--;
int f1=1,f2=1;
for(int k=L;k<R;k++){
f1&=(v[i][k]<=v[i][k+1]);
f2&=(v[j][k]<=v[j][k+1]);
}
if(f1||f2) ans++;
else ans+=2;
}
continue;
}
ll nw=m*(m-1ll);
vis.clear();
for(auto &s:v) vis[s]=true;
for(auto &s:v){
for(int i=0;i<l;i++) for(int j=i+2;j<=l;j++){
t=s,sort(t.begin()+i,t.begin()+j);
if(t[i]!=s[i]&&t[j-1]!=s[j-1]&&vis.count(t)) nw--;
}
}
ans+=nw;
}
cout<<ans<<"\n";
}
| 2C++
| {
"input": [
"4\nzzz\nbac\nabc\nacb\n",
"2\na\nb\n",
"1\na\n",
"6\nacb\nabc\ncba\nbac\ncab\nbca\n",
"24\nbcda\nacdb\nbcad\ncbad\nabcd\nbacd\nadcb\nbdac\ncbda\ndbca\ncdab\ncabd\ndabc\ncdba\nadbc\ndcba\ndcab\ndacb\nbdca\ndbac\ncadb\nbadc\nacbd\nabdc\n",
"2\nba\nab\n",
"2\ncbb\nbcb\n",
"1\nb\n",
"6\nacb\nabc\ncba\nbac\ncab\nbba\n",
"2\nba\naa\n",
"4\nzzz\nbac\nabc\ncab\n",
"6\nbca\nabc\ncba\nbac\ncab\nbba\n",
"4\nzzz\nbac\nabd\ncab\n",
"2\nab\nba\n",
"2\ndcb\ncbd\n",
"24\nbcda\nacdb\nbcad\ncbad\nabcd\nbacd\nadcb\nbdac\ncbda\ndbca\ncdab\ncabd\ndabc\ncdba\nadbc\ndcba\ndcab\ndacb\nbdca\ncbac\ncadb\nbadc\nacbd\nabdc\n",
"4\nzzz\nbac\neba\ncaa\n",
"2\ncab\nbcb\n",
"2\na\nc\n",
"1\nc\n",
"2\nab\naa\n",
"2\nbac\nbcb\n",
"1\nd\n",
"2\ncba\nbcb\n",
"1\ne\n",
"2\nac\naa\n",
"2\ncba\nbdb\n",
"1\nf\n",
"2\ncba\nbda\n",
"1\ng\n",
"2\ncbb\nbda\n",
"1\nh\n",
"2\ndba\nbda\n",
"1\ni\n",
"2\nabd\nbda\n",
"1\nj\n",
"2\nbbd\nbda\n",
"1\nk\n",
"2\ndbb\nbda\n",
"1\nl\n",
"2\ndbb\nbad\n",
"1\nm\n",
"2\ndbb\nbbd\n",
"1\nn\n",
"2\ndcb\nbbd\n",
"1\no\n",
"1\np\n",
"2\ndcb\nbcd\n",
"1\nq\n",
"2\nddb\nbcd\n",
"1\nr\n",
"2\nbdd\nbcd\n",
"1\ns\n",
"2\nbdd\nbce\n",
"1\nt\n",
"2\nbdd\necb\n",
"1\nu\n",
"2\nddb\necb\n",
"1\nv\n",
"2\nbdd\nfcb\n",
"1\nw\n",
"2\nbdd\nfca\n",
"1\nx\n",
"2\nbdd\nacf\n",
"1\ny\n",
"2\nbed\nacf\n",
"1\nz\n",
"2\nbfd\nacf\n",
"2\nbfd\nfca\n",
"2\nbfe\nfca\n",
"2\nbfe\nacf\n",
"2\nbef\nacf\n",
"2\nfeb\nacf\n",
"2\nfeb\nafc\n",
"2\nbef\nafc\n",
"2\ndbb\nbcb\n",
"2\ncab\nbcc\n",
"4\nzzy\nbac\nabc\ncab\n",
"2\nca\naa\n",
"2\nbab\nbcb\n",
"4\nzzz\nbac\ndba\ncab\n",
"2\ncba\nbbb\n",
"2\ncaa\nbda\n",
"2\ncba\nada\n",
"2\ncbb\ndba\n",
"2\nabd\nadb\n",
"2\nabd\ncda\n",
"2\nbbd\ndba\n",
"2\ndbb\nadb\n",
"2\ndbb\ndab\n",
"2\ndbb\nbdb\n",
"2\ndcb\ndbb\n",
"2\ncdb\ncbd\n",
"2\nddb\ndcb\n",
"2\nbdd\nacd\n",
"2\nddb\nbce\n",
"2\nbdd\nceb\n",
"2\nbde\necb\n",
"2\nbdd\nbcf\n",
"2\ncdd\nfca\n",
"2\nbdd\ncaf\n",
"2\nbde\nacf\n",
"2\nbfc\nacf\n",
"2\nafd\nfca\n",
"2\nefb\nfca\n",
"2\nefb\nacf\n",
"2\nbef\nace\n",
"2\nfea\nacf\n",
"2\neeb\nafc\n",
"2\nfeb\nafd\n",
"2\ndbb\nbbc\n",
"2\nbab\nbcc\n",
"2\nda\naa\n",
"2\nabb\nbcb\n",
"4\nzzz\nbac\ndba\ncba\n",
"2\ncba\nabb\n",
"2\naca\nbda\n",
"2\nbca\nada\n",
"2\ncbb\ndaa\n",
"2\nbbd\nadb\n",
"2\ndba\ncda\n",
"2\ndbc\nadb\n",
"2\nbbd\ndab\n",
"2\ndab\nbdb\n",
"2\ndcc\ndbb\n",
"2\ncdb\nccd\n",
"2\nddb\ncbd\n",
"2\ndcb\nbce\n",
"2\nddb\nceb\n",
"2\nedb\necb\n",
"2\nddb\nbcf\n",
"2\ncdc\nfca\n",
"2\nbde\nadf\n",
"2\nbfc\nfca\n",
"2\nafd\nacf\n",
"2\nefb\nbcf\n",
"2\nbef\nade\n",
"2\nfda\nacf\n",
"2\nedb\nafc\n",
"2\nfeb\nagd\n",
"2\ndbb\nbbb\n",
"2\nbbb\nbcc\n",
"2\nbab\nccb\n",
"4\nzzz\nbac\neba\ncba\n",
"2\nabc\nabb\n",
"2\nada\nbda\n",
"2\nbda\nada\n",
"2\ncbb\naad\n",
"2\nabd\naeb\n",
"2\ndbc\nbda\n",
"2\nebb\ndab\n",
"2\nbad\nbdb\n",
"2\ndcc\nbdb\n",
"2\ncdb\nccc\n",
"2\nddb\nccd\n",
"2\nbcd\nbce\n",
"2\ncdb\nceb\n",
"2\nebd\necb\n",
"2\nbdd\nccf\n",
"2\ncdc\nfda\n",
"2\nbde\ndaf\n",
"2\nbfc\neca\n",
"2\nfad\nacf\n",
"2\nebf\nbcf\n",
"2\nbdf\nade\n",
"2\nfda\ncaf\n",
"2\neda\nafc\n",
"2\nfeb\nbgd\n",
"2\nbbd\nbbb\n",
"2\nbcb\nbcc\n",
"2\nbab\ncdb\n",
"4\nzzz\nbac\neba\ncab\n",
"2\nabc\nbba\n",
"2\nadb\nbda\n",
"2\ndba\nada\n",
"2\nbbb\naad\n",
"2\nabd\nbeb\n",
"2\ndbd\nbda\n",
"2\nbbe\ndab\n",
"2\ndab\nbeb\n",
"2\ndbc\nbdb\n",
"2\nddb\nccc\n",
"2\nddb\ndcc\n",
"2\nbcd\nbec\n",
"2\ncdb\nbec\n",
"2\necd\necb\n",
"2\nddb\nccf\n",
"2\ncdc\nadf\n",
"2\nade\ndaf\n",
"2\ncfb\neca\n",
"2\nebf\nfcb\n",
"2\nbdf\naee\n",
"2\nadf\ncaf\n",
"2\neda\nafd\n",
"2\nfbe\nagd\n",
"2\nbbe\nbbb\n",
"2\nbcb\nccb\n",
"2\nbab\nbdc\n",
"2\nabb\nbba\n",
"2\nada\nadb\n",
"2\ndba\ndaa\n",
"2\nabb\naad\n",
"2\nabe\nbeb\n",
"2\ndbd\ncda\n",
"2\nbbe\nbad\n",
"2\ndbb\nbeb\n",
"2\ndbc\nbdc\n"
],
"output": [
"\n4015\n",
"\n1337\n",
"0\n",
"21\n",
"478\n",
"1\n",
"1\n",
"0\n",
"6699\n",
"1337\n",
"4015\n",
"6698\n",
"6687\n",
"1\n",
"2\n",
"31188\n",
"8022\n",
"1337\n",
"1337\n",
"0\n",
"1337\n",
"1337\n",
"0\n",
"1337\n",
"0\n",
"1337\n",
"1337\n",
"0\n",
"1337\n",
"0\n",
"1337\n",
"0\n",
"1\n",
"0\n",
"1\n",
"0\n",
"1337\n",
"0\n",
"1337\n",
"0\n",
"1337\n",
"0\n",
"1\n",
"0\n",
"1337\n",
"0\n",
"0\n",
"1\n",
"0\n",
"1337\n",
"0\n",
"1337\n",
"0\n",
"1337\n",
"0\n",
"1337\n",
"0\n",
"1337\n",
"0\n",
"1337\n",
"0\n",
"1337\n",
"0\n",
"1337\n",
"0\n",
"1337\n",
"0\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"4015\n",
"1337\n",
"1337\n",
"6687\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1\n",
"1337\n",
"1\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"6687\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"6687\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"6687\n",
"1337\n",
"2\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1\n"
]
} | 2CODEFORCES
|
1535_F. String Distance_38231 | Suppose you are given two strings a and b. You can apply the following operation any number of times: choose any contiguous substring of a or b, and sort the characters in it in non-descending order. Let f(a, b) the minimum number of operations you have to apply in order to make them equal (or f(a, b) = 1337 if it is impossible to make a and b equal using these operations).
For example:
* f(ab, ab) = 0;
* f(ba, ab) = 1 (in one operation, we can sort the whole first string);
* f(ebcda, ecdba) = 1 (in one operation, we can sort the substring of the second string starting from the 2-nd character and ending with the 4-th character);
* f(a, b) = 1337.
You are given n strings s_1, s_2, ..., s_k having equal length. Calculate ∑ _{i = 1}^{n} ∑_{j = i + 1}^{n} f(s_i, s_j).
Input
The first line contains one integer n (1 ≤ n ≤ 2 ⋅ 10^5) — the number of strings.
Then n lines follow, each line contains one of the strings s_i, consisting of lowercase Latin letters. |s_1| = |s_2| = … = |s_n|, and n ⋅ |s_1| ≤ 2 ⋅ 10^5. All these strings are pairwise distinct.
Output
Print one integer: ∑ _{i = 1}^{n} ∑_{j = i + 1}^{n} f(s_i, s_j).
Examples
Input
4
zzz
bac
abc
acb
Output
4015
Input
2
a
b
Output
1337 | import java.io.BufferedInputStream;
import java.io.Closeable;
import java.io.IOException;
import java.io.InputStream;
import java.util.ArrayList;
import java.util.Arrays;
import java.util.HashMap;
import java.util.List;
import java.util.Map;
public class P1535F {
private static class LetterHist {
private final int[] counts = new int[26];
private final int length;
private int hash;
public LetterHist(byte[] b) {
this.length = b.length;
for (int i = 0; i < b.length; i++) {
counts[b[i] - (byte) 'a']++;
}
}
@Override
public boolean equals(Object other) {
if (other == this) {
return true;
}
if (! (other instanceof LetterHist)) {
return false;
}
final LetterHist that = (LetterHist) other;
for (int i = 0; i < 26; i++) {
if (this.counts[i] != that.counts[i]) {
return false;
}
}
return true;
}
@Override
public int hashCode() {
if (hash == 0) {
hash = 1;
for (int i = 0; i < 26; i++) {
hash = 31 * hash + counts[i];
}
}
return hash;
}
}
private static class SS {
public final byte[] string;
public final int[] sort;
public SS(byte[] string, int[] sort) {
this.string = string;
this.sort = sort;
}
}
private static long compute2(int n, int m, byte[][] strings) {
long total = 0;
// Create lookup table of sorted runs of length > 1
final SS[] sss = new SS[n];
for (int i = 0; i < n; i++) {
final byte[] string = strings[i];
final int[] sort = new int[m];
int j = 0;
for (int k = 1; k < m; k++) {
if (string[k] < string[k-1]) {
if (k > j+1) {
sort[j] = k;
}
j = k;
}
}
if (m > j+1) {
sort[j] = m;
}
sss[i] = new SS(string, sort);
}
// Sort strings by co-lexicographic order, descending
Arrays.sort(sss, (ss1, ss2) -> {
int c;
for (int j = m-1; j >= 0; j--) {
c = ss2.string[j] - ss1.string[j];
if (c != 0) {
return c;
}
}
return 0;
});
final int[] groups = new int[n];
final int[][] jstack = new int[m][2];
jstack[0][0] = n;
jstack[0][1] = m;
for (int j0 = 0; j0 < m; j0++) {
final int j0_ = j0;
int g = groups[0];
int i0 = 0;
int g1 = 0;
int jsp = 0;
for (int i = 0; i < n; i++) {
final SS ss = sss[i];
final byte[] string = ss.string;
final int[] sort = ss.sort;
while (i >= jstack[jsp][0]) {
jsp--;
}
if (groups[i] != g) {
// Re-collate previous group
Arrays.sort(sss, i0, i, (ss1, ss2) ->
(int) (ss1.string[j0_] - ss2.string[j0_]));
groups[i0++] = g1;
while(i0 < i) {
if (sss[i0-1].string[j0] != sss[i0].string[j0]) {
g1++;
}
groups[i0++] = g1;
}
g1++;
g = groups[i];
i0 = i;
}
if (sort[j0] > 0) {
final int j1 = sort[j0];
final int j2 = jstack[jsp][1];
final int i2 = jstack[jsp][0];
int i_;
outer:
for (i_ = i+1; i_ < i2 && groups[i_] == g; i_++) {
for (int j = j1; j < j2; j++) {
if (string[j] != sss[i_].string[j]) {
break outer;
}
}
}
total += i_ - i - 1;
if (i_ > i+1) {
jsp++;
jstack[jsp][0] = i_;
jstack[jsp][1] = j1;
}
}
}
// Re-collate last group
Arrays.sort(sss, i0, n, (ss1, ss2) ->
(int) (ss1.string[j0_] - ss2.string[j0_]));
groups[i0++] = g1;
while (i0 < n) {
if (sss[i0 - 1].string[j0] != sss[i0].string[j0]) {
g1++;
}
groups[i0++] = g1;
}
}
return total;
}
private static long compute(int n, int m, byte[][] strings) {
final Map<LetterHist, List<byte[]>> groups = new HashMap<>();
for (int i = 0; i < n; i++) {
final LetterHist key = new LetterHist(strings[i]);
groups.computeIfAbsent(key, k -> new ArrayList<>())
.add(strings[i]);
}
long total = 0;
int ps = 0;
for (List<byte[]> group : groups.values()) {
int s = group.size();
total += 1337L * (long) s * (long) ps;
total += (long) s * (long) (s-1)
- compute2(s, m, group.toArray(new byte[0][]));
ps += s;
}
return total;
}
public static void main(String[] args) throws IOException {
try {
final FastReader fr = new FastReader(
new BufferedInputStream(System.in));
final int n = fr.readInt();
byte[] buf = new byte[200000];
final int m = fr.readLine(buf);
byte[][] strings = new byte[n][m];
for (int j = 0; j < m; j++) {
strings[0][j] = buf[j];
}
for (int i = 1; i < n; i++) {
fr.readLine(strings[i]);
}
System.out.println(compute(n, m, strings));
} catch (Throwable t) {
t.printStackTrace(System.out);
System.exit(1);
}
}
private static final void log(Object o) {
System.err.println(o);
}
private static class FastReader implements Closeable {
private static final byte B_SP = ' ';
private static final byte B_CR = '\r';
private static final byte B_LF = '\n';
private static final byte B_0 = '0';
private static final byte B_9 = '9';
private static final byte B_DASH = '-';
private static final byte B_EOF = -1;
private final InputStream in;
private byte prev;
public FastReader(InputStream in) {
this.in = in;
}
public byte read() throws IOException {
return (prev = (byte) in.read());
}
public byte readNonWs() throws IOException {
byte b;
do {
b = read();
} while (b <= B_SP);
return b;
}
public int readInt() throws IOException {
byte b = readNonWs();
final boolean neg = (b == B_DASH);
if (neg) {
b = read();
}
int i = (b - B_0);
b = read();
while (b >= B_0 && b <= B_9) {
i = i * 10 + (b - B_0);
b = read();
}
return neg ? -i : i;
}
public long readLong() throws IOException {
byte b = readNonWs();
final boolean neg = (b == B_DASH);
if (neg) {
b = read();
}
long i = (b - B_0);
b = read();
while (b >= B_0 && b <= B_9) {
i = i * 10 + (b - B_0);
b = read();
}
return neg ? -i : i;
}
public int readToken(byte[] tbuf) throws IOException {
byte b = readNonWs();
int i = 0;
do {
tbuf[i++] = b;
b = read();
} while (b >= B_SP);
return i;
}
public int readLine(byte[] lbuf) throws IOException {
byte b;
if (prev == B_CR) {
b = read();
if (b == B_LF) {
b = read();
}
} else {
b = read();
}
int i = 0;
while (b >= B_SP) {
lbuf[i++] = b;
b = read();
}
return i;
}
@Override
public void close() throws IOException {
in.close();
}
}
}
| 4JAVA
| {
"input": [
"4\nzzz\nbac\nabc\nacb\n",
"2\na\nb\n",
"1\na\n",
"6\nacb\nabc\ncba\nbac\ncab\nbca\n",
"24\nbcda\nacdb\nbcad\ncbad\nabcd\nbacd\nadcb\nbdac\ncbda\ndbca\ncdab\ncabd\ndabc\ncdba\nadbc\ndcba\ndcab\ndacb\nbdca\ndbac\ncadb\nbadc\nacbd\nabdc\n",
"2\nba\nab\n",
"2\ncbb\nbcb\n",
"1\nb\n",
"6\nacb\nabc\ncba\nbac\ncab\nbba\n",
"2\nba\naa\n",
"4\nzzz\nbac\nabc\ncab\n",
"6\nbca\nabc\ncba\nbac\ncab\nbba\n",
"4\nzzz\nbac\nabd\ncab\n",
"2\nab\nba\n",
"2\ndcb\ncbd\n",
"24\nbcda\nacdb\nbcad\ncbad\nabcd\nbacd\nadcb\nbdac\ncbda\ndbca\ncdab\ncabd\ndabc\ncdba\nadbc\ndcba\ndcab\ndacb\nbdca\ncbac\ncadb\nbadc\nacbd\nabdc\n",
"4\nzzz\nbac\neba\ncaa\n",
"2\ncab\nbcb\n",
"2\na\nc\n",
"1\nc\n",
"2\nab\naa\n",
"2\nbac\nbcb\n",
"1\nd\n",
"2\ncba\nbcb\n",
"1\ne\n",
"2\nac\naa\n",
"2\ncba\nbdb\n",
"1\nf\n",
"2\ncba\nbda\n",
"1\ng\n",
"2\ncbb\nbda\n",
"1\nh\n",
"2\ndba\nbda\n",
"1\ni\n",
"2\nabd\nbda\n",
"1\nj\n",
"2\nbbd\nbda\n",
"1\nk\n",
"2\ndbb\nbda\n",
"1\nl\n",
"2\ndbb\nbad\n",
"1\nm\n",
"2\ndbb\nbbd\n",
"1\nn\n",
"2\ndcb\nbbd\n",
"1\no\n",
"1\np\n",
"2\ndcb\nbcd\n",
"1\nq\n",
"2\nddb\nbcd\n",
"1\nr\n",
"2\nbdd\nbcd\n",
"1\ns\n",
"2\nbdd\nbce\n",
"1\nt\n",
"2\nbdd\necb\n",
"1\nu\n",
"2\nddb\necb\n",
"1\nv\n",
"2\nbdd\nfcb\n",
"1\nw\n",
"2\nbdd\nfca\n",
"1\nx\n",
"2\nbdd\nacf\n",
"1\ny\n",
"2\nbed\nacf\n",
"1\nz\n",
"2\nbfd\nacf\n",
"2\nbfd\nfca\n",
"2\nbfe\nfca\n",
"2\nbfe\nacf\n",
"2\nbef\nacf\n",
"2\nfeb\nacf\n",
"2\nfeb\nafc\n",
"2\nbef\nafc\n",
"2\ndbb\nbcb\n",
"2\ncab\nbcc\n",
"4\nzzy\nbac\nabc\ncab\n",
"2\nca\naa\n",
"2\nbab\nbcb\n",
"4\nzzz\nbac\ndba\ncab\n",
"2\ncba\nbbb\n",
"2\ncaa\nbda\n",
"2\ncba\nada\n",
"2\ncbb\ndba\n",
"2\nabd\nadb\n",
"2\nabd\ncda\n",
"2\nbbd\ndba\n",
"2\ndbb\nadb\n",
"2\ndbb\ndab\n",
"2\ndbb\nbdb\n",
"2\ndcb\ndbb\n",
"2\ncdb\ncbd\n",
"2\nddb\ndcb\n",
"2\nbdd\nacd\n",
"2\nddb\nbce\n",
"2\nbdd\nceb\n",
"2\nbde\necb\n",
"2\nbdd\nbcf\n",
"2\ncdd\nfca\n",
"2\nbdd\ncaf\n",
"2\nbde\nacf\n",
"2\nbfc\nacf\n",
"2\nafd\nfca\n",
"2\nefb\nfca\n",
"2\nefb\nacf\n",
"2\nbef\nace\n",
"2\nfea\nacf\n",
"2\neeb\nafc\n",
"2\nfeb\nafd\n",
"2\ndbb\nbbc\n",
"2\nbab\nbcc\n",
"2\nda\naa\n",
"2\nabb\nbcb\n",
"4\nzzz\nbac\ndba\ncba\n",
"2\ncba\nabb\n",
"2\naca\nbda\n",
"2\nbca\nada\n",
"2\ncbb\ndaa\n",
"2\nbbd\nadb\n",
"2\ndba\ncda\n",
"2\ndbc\nadb\n",
"2\nbbd\ndab\n",
"2\ndab\nbdb\n",
"2\ndcc\ndbb\n",
"2\ncdb\nccd\n",
"2\nddb\ncbd\n",
"2\ndcb\nbce\n",
"2\nddb\nceb\n",
"2\nedb\necb\n",
"2\nddb\nbcf\n",
"2\ncdc\nfca\n",
"2\nbde\nadf\n",
"2\nbfc\nfca\n",
"2\nafd\nacf\n",
"2\nefb\nbcf\n",
"2\nbef\nade\n",
"2\nfda\nacf\n",
"2\nedb\nafc\n",
"2\nfeb\nagd\n",
"2\ndbb\nbbb\n",
"2\nbbb\nbcc\n",
"2\nbab\nccb\n",
"4\nzzz\nbac\neba\ncba\n",
"2\nabc\nabb\n",
"2\nada\nbda\n",
"2\nbda\nada\n",
"2\ncbb\naad\n",
"2\nabd\naeb\n",
"2\ndbc\nbda\n",
"2\nebb\ndab\n",
"2\nbad\nbdb\n",
"2\ndcc\nbdb\n",
"2\ncdb\nccc\n",
"2\nddb\nccd\n",
"2\nbcd\nbce\n",
"2\ncdb\nceb\n",
"2\nebd\necb\n",
"2\nbdd\nccf\n",
"2\ncdc\nfda\n",
"2\nbde\ndaf\n",
"2\nbfc\neca\n",
"2\nfad\nacf\n",
"2\nebf\nbcf\n",
"2\nbdf\nade\n",
"2\nfda\ncaf\n",
"2\neda\nafc\n",
"2\nfeb\nbgd\n",
"2\nbbd\nbbb\n",
"2\nbcb\nbcc\n",
"2\nbab\ncdb\n",
"4\nzzz\nbac\neba\ncab\n",
"2\nabc\nbba\n",
"2\nadb\nbda\n",
"2\ndba\nada\n",
"2\nbbb\naad\n",
"2\nabd\nbeb\n",
"2\ndbd\nbda\n",
"2\nbbe\ndab\n",
"2\ndab\nbeb\n",
"2\ndbc\nbdb\n",
"2\nddb\nccc\n",
"2\nddb\ndcc\n",
"2\nbcd\nbec\n",
"2\ncdb\nbec\n",
"2\necd\necb\n",
"2\nddb\nccf\n",
"2\ncdc\nadf\n",
"2\nade\ndaf\n",
"2\ncfb\neca\n",
"2\nebf\nfcb\n",
"2\nbdf\naee\n",
"2\nadf\ncaf\n",
"2\neda\nafd\n",
"2\nfbe\nagd\n",
"2\nbbe\nbbb\n",
"2\nbcb\nccb\n",
"2\nbab\nbdc\n",
"2\nabb\nbba\n",
"2\nada\nadb\n",
"2\ndba\ndaa\n",
"2\nabb\naad\n",
"2\nabe\nbeb\n",
"2\ndbd\ncda\n",
"2\nbbe\nbad\n",
"2\ndbb\nbeb\n",
"2\ndbc\nbdc\n"
],
"output": [
"\n4015\n",
"\n1337\n",
"0\n",
"21\n",
"478\n",
"1\n",
"1\n",
"0\n",
"6699\n",
"1337\n",
"4015\n",
"6698\n",
"6687\n",
"1\n",
"2\n",
"31188\n",
"8022\n",
"1337\n",
"1337\n",
"0\n",
"1337\n",
"1337\n",
"0\n",
"1337\n",
"0\n",
"1337\n",
"1337\n",
"0\n",
"1337\n",
"0\n",
"1337\n",
"0\n",
"1\n",
"0\n",
"1\n",
"0\n",
"1337\n",
"0\n",
"1337\n",
"0\n",
"1337\n",
"0\n",
"1\n",
"0\n",
"1337\n",
"0\n",
"0\n",
"1\n",
"0\n",
"1337\n",
"0\n",
"1337\n",
"0\n",
"1337\n",
"0\n",
"1337\n",
"0\n",
"1337\n",
"0\n",
"1337\n",
"0\n",
"1337\n",
"0\n",
"1337\n",
"0\n",
"1337\n",
"0\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"4015\n",
"1337\n",
"1337\n",
"6687\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1\n",
"1337\n",
"1\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"6687\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"6687\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"6687\n",
"1337\n",
"2\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1337\n",
"1\n"
]
} | 2CODEFORCES
|
182_E. Wooden Fence_38232 | Vasya has recently bought some land and decided to surround it with a wooden fence.
He went to a company called "Wooden board" that produces wooden boards for fences. Vasya read in the catalog of products that the company has at its disposal n different types of wood. The company uses the i-th type of wood to produce a board of this type that is a rectangular ai by bi block.
Vasya decided to order boards in this company and build a fence from them. It turned out that the storehouse of the company is so large that Vasya can order arbitrary number of boards of every type. Note that Vasya is allowed to turn the boards as he builds the fence. However, Vasya cannot turn square boards.
Vasya is required to construct a fence of length l, however, an arbitrary fence won't do. Vasya wants his fence to look beautiful. We'll say that a fence is beautiful if and only if the following two conditions are fulfilled:
* there are no two successive boards of the same type
* the first board of the fence has an arbitrary length, and the length of each subsequent board equals the width of the previous one
In other words, the fence is considered beautiful, if the type of the i-th board in the fence is different from the i - 1-th board's type; besides, the i-th board's length is equal to the i - 1-th board's width (for all i, starting from 2).
Now Vasya wonders, how many variants of arranging a fence for his land exist. Your task is to count the number of different beautiful fences of length l.
Two fences will be considered the same if the corresponding sequences of fence boards types and rotations are the same, otherwise the fences are different. Since the sought number can be large enough, you need to calculate the answer modulo 1000000007 (109 + 7).
Input
The first line contains two integers n and l (1 ≤ n ≤ 100, 1 ≤ l ≤ 3000) — the number of different board types and the fence length, correspondingly. Next n lines contain descriptions of board types: the i-th line contains two integers ai and bi (1 ≤ ai, bi ≤ 100) — the sizes of the board of the i-th type. All numbers on the lines are separated by spaces.
Output
Print a single integer — the sought number of variants modulo 1000000007 (109 + 7).
Examples
Input
2 3
1 2
2 3
Output
2
Input
1 2
2 2
Output
1
Input
6 6
2 1
3 2
2 5
3 3
5 1
2 1
Output
20
Note
In the first sample there are exactly two variants of arranging a beautiful fence of length 3:
* As the first fence board use the board of the first type of length 1 and width 2. As the second board use board of the second type of length 2 and width 3.
* Use one board of the second type after you turn it. That makes its length equal 3, and width — 2. | from sys import stdin
m = 1000000007
n, l = map(int, stdin.readline().split())
e = []
for i in xrange(n):
a, b = map(int, stdin.readline().split())
e.append((a, b, i))
if a != b: e.append((b, a, i))
n = len(e)
e.sort()
u = [[] for i in xrange(101)]
for i in xrange(n):
u[e[i][1]].append((e[i][0], e[i][1], e[i][2], i))
d = [[0] * n for i in xrange(l + 1)]
for i in xrange(l + 1):
for j in reversed(xrange(i)):
r = i - j
if r > 100: break
f = 0
while f < n:
if e[f][0] > r: break
if e[f][0] == r:
if j == 0:
d[i][f] = 1
else:
g = 0
while g < len(u[r]):
if e[f][2] != u[r][g][2]:
d[i][f] = (d[i][f] + d[j][u[r][g][3]]) % m
g += 1
f += 1
print sum(d[-1]) % m
| 1Python2
| {
"input": [
"1 2\n2 2\n",
"2 3\n1 2\n2 3\n",
"6 6\n2 1\n3 2\n2 5\n3 3\n5 1\n2 1\n",
"100 1500\n3 3\n3 2\n1 3\n3 1\n2 3\n3 2\n3 2\n2 1\n3 1\n2 3\n3 3\n3 1\n1 1\n3 1\n3 3\n2 2\n2 2\n1 2\n1 1\n3 1\n2 2\n2 3\n2 3\n2 2\n3 3\n3 2\n1 1\n3 3\n2 2\n1 3\n3 3\n3 1\n1 2\n3 3\n3 3\n2 2\n1 1\n3 3\n1 3\n2 1\n1 2\n2 1\n1 3\n1 3\n1 3\n1 1\n1 3\n3 1\n2 3\n1 3\n2 2\n2 1\n2 1\n2 3\n3 2\n1 2\n2 2\n1 3\n1 1\n1 3\n3 3\n1 3\n3 2\n1 3\n2 1\n2 3\n2 3\n2 3\n3 2\n1 2\n1 3\n2 3\n1 3\n2 1\n3 2\n3 3\n1 1\n3 1\n3 3\n1 3\n3 2\n3 2\n2 2\n1 3\n2 2\n3 2\n1 3\n2 2\n2 1\n3 2\n1 3\n3 2\n1 2\n2 2\n1 3\n1 1\n3 3\n2 2\n3 1\n3 3\n",
"4 3\n1 2\n1 1\n3 1\n2 2\n",
"5 8\n3 1\n2 1\n2 3\n2 1\n3 1\n",
"40 700\n11 14\n4 14\n14 13\n12 9\n14 10\n3 9\n7 7\n5 15\n1 11\n5 7\n2 9\n7 5\n3 10\n5 14\n4 11\n13 6\n4 6\n3 9\n1 11\n8 13\n6 4\n12 10\n10 14\n8 2\n1 15\n13 13\n6 11\n7 2\n7 12\n8 7\n1 13\n13 7\n12 10\n1 7\n7 1\n4 4\n10 7\n1 4\n13 8\n13 10\n",
"50 100\n45 74\n41 31\n84 56\n14 8\n25 94\n71 76\n35 8\n66 67\n27 54\n67 91\n71 20\n71 91\n7 58\n13 34\n47 60\n68 32\n74 58\n78 55\n67 40\n22 67\n27 59\n2 2\n89 62\n90 60\n41 57\n66 24\n65 93\n55 8\n94 2\n82 81\n91 67\n63 68\n24 12\n95 49\n48 63\n30 23\n32 86\n10 98\n89 71\n73 35\n85 60\n22 46\n9 50\n79 75\n24 53\n48 17\n22 61\n26 49\n89 58\n77 56\n",
"1 3\n1 1\n",
"100 2500\n3 1\n3 2\n3 2\n3 1\n1 1\n1 2\n3 3\n1 2\n1 2\n3 1\n3 3\n3 2\n1 3\n2 1\n2 3\n2 2\n1 3\n2 2\n2 2\n1 1\n2 3\n1 3\n1 2\n3 1\n2 3\n2 3\n3 1\n2 3\n2 3\n3 1\n1 1\n3 2\n2 3\n3 3\n3 2\n3 1\n3 2\n3 1\n2 1\n1 3\n2 2\n2 2\n3 2\n1 2\n3 1\n3 2\n3 1\n1 2\n3 1\n3 1\n3 1\n2 3\n1 3\n1 3\n2 2\n1 2\n3 3\n3 2\n3 2\n3 3\n3 3\n2 1\n1 2\n3 2\n1 2\n2 3\n1 2\n2 3\n2 3\n3 2\n3 1\n2 3\n1 2\n1 1\n1 1\n3 1\n2 3\n2 1\n2 3\n3 2\n1 1\n3 3\n1 3\n3 2\n3 2\n2 2\n2 2\n2 2\n1 1\n1 2\n1 2\n3 3\n1 1\n3 2\n1 2\n2 2\n3 3\n2 2\n1 2\n2 3\n",
"100 3000\n3 3\n2 1\n3 3\n4 1\n2 4\n3 1\n3 4\n1 2\n3 4\n4 3\n2 2\n2 3\n4 2\n3 3\n1 3\n4 3\n3 1\n4 3\n2 2\n2 4\n2 2\n3 2\n2 1\n3 4\n1 1\n1 1\n1 2\n1 3\n2 4\n3 4\n2 4\n2 3\n3 1\n4 1\n1 3\n2 2\n3 2\n2 2\n3 3\n2 2\n4 4\n4 3\n1 3\n2 3\n1 3\n1 1\n2 3\n3 3\n4 2\n2 2\n1 1\n1 3\n4 4\n3 3\n4 2\n1 4\n4 4\n2 4\n1 3\n2 3\n1 3\n1 1\n4 4\n3 2\n2 1\n4 4\n2 1\n2 1\n2 3\n3 3\n2 4\n2 1\n4 1\n3 1\n2 3\n1 2\n1 1\n1 1\n2 2\n1 1\n4 1\n4 4\n3 2\n2 2\n1 4\n2 2\n4 3\n2 2\n4 1\n2 1\n4 2\n2 4\n2 1\n3 4\n4 2\n2 4\n3 4\n2 1\n1 1\n1 2\n",
"1 3000\n78 92\n",
"100 3000\n1 4\n2 1\n3 3\n1 1\n5 4\n4 1\n2 1\n5 4\n1 1\n3 3\n4 3\n3 4\n4 2\n2 4\n1 2\n3 4\n5 3\n1 4\n2 4\n4 5\n1 2\n5 2\n2 2\n3 2\n4 4\n1 4\n5 5\n3 4\n4 1\n3 3\n5 2\n3 3\n4 1\n1 5\n4 3\n5 3\n4 2\n3 3\n3 5\n5 1\n5 1\n3 3\n4 3\n1 3\n4 1\n2 3\n1 3\n1 2\n5 5\n5 2\n1 5\n4 2\n1 1\n1 1\n1 2\n4 4\n5 4\n2 5\n1 3\n5 3\n1 1\n3 5\n1 4\n5 2\n2 3\n1 3\n5 1\n3 4\n5 1\n5 3\n3 2\n2 4\n5 2\n2 5\n5 4\n2 4\n1 1\n2 1\n2 3\n4 4\n1 5\n2 2\n1 3\n3 1\n3 2\n5 2\n5 5\n2 5\n2 3\n3 2\n4 1\n2 3\n5 1\n4 2\n2 4\n2 1\n5 3\n5 4\n1 1\n2 3\n",
"100 2000\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n",
"30 2800\n25 12\n43 10\n38 39\n14 8\n35 41\n19 11\n23 5\n28 2\n7 36\n9 36\n38 32\n28 29\n18 31\n22 6\n25 34\n43 25\n36 33\n14 24\n13 40\n1 1\n19 44\n37 18\n7 17\n18 14\n44 35\n15 37\n43 23\n34 29\n3 21\n31 47\n",
"4 6\n2 1\n1 2\n2 1\n2 1\n",
"50 30\n9 35\n1 48\n17 43\n41 39\n28 7\n14 10\n3 45\n35 37\n31 27\n11 16\n40 8\n4 7\n15 33\n29 17\n41 45\n11 24\n6 8\n6 2\n2 42\n19 34\n7 36\n14 15\n26 2\n22 33\n15 22\n49 23\n10 41\n6 17\n21 11\n15 37\n49 26\n49 49\n15 29\n12 49\n22 13\n7 49\n25 32\n7 7\n31 37\n23 14\n5 37\n14 6\n44 21\n8 16\n22 7\n43 44\n36 44\n4 26\n22 46\n4 21\n",
"4 10\n4 5\n5 3\n1 4\n1 2\n",
"10 50\n9 7\n2 2\n7 9\n10 9\n6 1\n8 10\n10 5\n7 5\n4 5\n8 1\n",
"7 4\n1 2\n2 2\n3 3\n3 3\n1 1\n3 3\n3 1\n",
"10 30\n12 21\n2 8\n19 7\n7 1\n27 14\n13 3\n14 7\n19 26\n21 17\n17 30\n",
"4 6\n1 1\n1 2\n3 1\n5 10\n",
"1 4\n4 1\n",
"100 3000\n1 1\n3 3\n3 2\n1 1\n3 2\n1 3\n1 3\n1 1\n2 3\n2 3\n3 2\n1 3\n3 3\n1 1\n3 1\n2 3\n3 1\n2 1\n3 2\n3 2\n2 2\n1 2\n3 3\n3 3\n3 3\n3 3\n1 3\n3 2\n2 3\n3 2\n3 1\n1 1\n3 1\n1 3\n1 2\n2 1\n3 2\n2 3\n3 1\n3 2\n3 1\n2 1\n1 3\n1 1\n3 3\n2 2\n3 2\n3 3\n2 2\n2 3\n3 3\n2 3\n2 2\n3 3\n3 3\n1 1\n2 3\n1 1\n3 3\n3 3\n2 2\n1 2\n3 2\n3 3\n3 3\n3 3\n3 1\n1 2\n1 1\n1 1\n2 1\n1 2\n3 2\n2 3\n3 2\n1 1\n2 1\n2 2\n1 1\n1 2\n1 3\n2 2\n2 3\n2 1\n1 2\n3 1\n3 1\n3 3\n2 3\n1 1\n3 3\n2 2\n1 3\n3 1\n2 3\n2 2\n3 2\n1 1\n3 3\n3 2\n",
"10 5\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n",
"6 7\n3 1\n2 1\n1 2\n4 5\n2 5\n2 1\n",
"100 2000\n2 2\n2 1\n2 2\n1 2\n1 2\n2 2\n1 2\n1 2\n2 2\n2 1\n1 1\n2 2\n2 2\n2 1\n2 2\n2 2\n1 1\n2 2\n1 2\n2 2\n1 1\n2 1\n2 1\n2 1\n1 1\n2 1\n2 1\n1 2\n2 1\n2 1\n1 2\n1 2\n2 2\n1 2\n2 1\n2 2\n2 2\n1 1\n2 2\n2 2\n2 2\n2 1\n2 2\n1 1\n1 2\n1 2\n2 1\n2 1\n1 1\n2 1\n1 1\n2 1\n1 1\n2 2\n2 1\n1 2\n1 1\n1 1\n1 2\n1 2\n2 1\n2 2\n1 2\n2 1\n2 2\n1 2\n2 1\n2 1\n2 2\n1 2\n2 2\n1 1\n2 2\n2 1\n2 2\n1 1\n1 2\n1 1\n1 1\n1 2\n1 1\n2 1\n2 1\n2 2\n2 1\n1 1\n2 1\n1 1\n1 1\n1 1\n1 2\n1 2\n1 1\n2 1\n1 2\n2 1\n2 2\n2 1\n1 1\n2 2\n",
"13 10\n4 2\n1 3\n3 3\n2 2\n3 1\n3 4\n4 1\n1 3\n2 3\n1 3\n3 1\n3 3\n2 1\n",
"5 10\n1 2\n2 3\n1 2\n3 1\n2 4\n",
"10 11\n3 10\n10 2\n2 6\n7 6\n8 1\n2 3\n7 10\n8 2\n6 5\n2 5\n",
"20 20\n2 1\n1 1\n2 3\n2 1\n2 1\n3 3\n2 3\n1 2\n1 1\n1 1\n2 3\n2 3\n1 3\n2 2\n2 1\n3 2\n2 1\n1 1\n1 3\n3 3\n",
"30 80\n27 10\n39 39\n87 45\n70 82\n20 50\n45 51\n67 31\n43 96\n87 26\n59 20\n42 22\n69 71\n10 30\n39 59\n42 100\n4 67\n21 55\n83 69\n33 81\n37 43\n57 12\n30 83\n34 12\n35 32\n11 12\n51 96\n100 68\n96 20\n50 61\n46 61\n",
"50 2000\n12 1\n11 29\n7 4\n18 27\n25 17\n28 5\n1 17\n10 29\n10 21\n8 7\n23 4\n20 7\n8 24\n2 27\n13 13\n14 15\n19 15\n7 26\n24 13\n8 25\n7 11\n18 11\n19 1\n30 15\n3 24\n27 7\n24 25\n7 7\n14 23\n3 24\n25 10\n25 3\n4 11\n22 29\n27 28\n23 5\n3 6\n16 3\n30 18\n16 22\n24 7\n11 1\n10 23\n2 3\n27 28\n28 25\n20 21\n25 3\n10 3\n7 25\n",
"60 900\n38 15\n10 1\n14 37\n13 1\n40 15\n31 26\n31 4\n12 5\n28 34\n37 7\n28 34\n11 30\n30 16\n27 18\n11 18\n17 6\n38 22\n31 37\n20 38\n21 23\n11 12\n24 35\n36 8\n13 13\n34 39\n20 15\n17 3\n23 17\n18 23\n26 18\n11 2\n18 30\n25 25\n32 40\n9 38\n37 39\n39 37\n5 10\n15 19\n14 21\n34 8\n7 36\n29 3\n11 21\n32 2\n21 40\n10 33\n36 39\n15 31\n38 16\n4 14\n6 16\n31 18\n15 23\n1 38\n32 24\n13 12\n15 15\n24 11\n24 27\n",
"8 20\n18 18\n14 15\n8 4\n5 9\n2 7\n9 2\n9 19\n2 11\n",
"100 1500\n3 3\n3 2\n1 3\n3 1\n2 3\n3 2\n3 2\n2 1\n3 1\n2 3\n3 3\n3 1\n1 1\n3 1\n3 3\n2 2\n2 2\n1 2\n1 1\n3 1\n2 2\n2 3\n2 3\n2 2\n3 3\n3 2\n1 1\n3 3\n2 2\n1 3\n3 3\n3 1\n1 2\n3 3\n3 3\n2 2\n1 1\n3 3\n1 3\n2 1\n1 2\n2 1\n1 3\n1 3\n1 3\n1 1\n1 3\n3 1\n2 3\n1 3\n2 2\n2 1\n2 1\n2 3\n3 2\n1 2\n2 2\n1 3\n1 1\n1 3\n3 3\n1 3\n3 2\n1 3\n2 1\n2 3\n2 3\n2 3\n3 2\n1 3\n1 3\n2 3\n1 3\n2 1\n3 2\n3 3\n1 1\n3 1\n3 3\n1 3\n3 2\n3 2\n2 2\n1 3\n2 2\n3 2\n1 3\n2 2\n2 1\n3 2\n1 3\n3 2\n1 2\n2 2\n1 3\n1 1\n3 3\n2 2\n3 1\n3 3\n",
"4 3\n1 2\n1 1\n4 1\n2 2\n",
"50 100\n45 74\n41 31\n84 56\n14 8\n25 94\n71 76\n35 8\n66 67\n27 54\n67 91\n71 20\n71 91\n7 58\n13 34\n47 60\n68 32\n74 58\n78 55\n67 40\n22 67\n27 59\n2 2\n89 62\n90 60\n41 57\n66 24\n65 93\n55 8\n94 2\n82 81\n91 67\n63 30\n24 12\n95 49\n48 63\n30 23\n32 86\n10 98\n89 71\n73 35\n85 60\n22 46\n9 50\n79 75\n24 53\n48 17\n22 61\n26 49\n89 58\n77 56\n",
"1 3\n2 1\n",
"100 2500\n3 1\n3 2\n3 2\n3 1\n1 1\n1 2\n3 3\n1 2\n1 2\n3 1\n3 3\n3 2\n1 3\n2 1\n2 3\n2 2\n1 3\n2 2\n2 2\n1 1\n2 3\n1 3\n1 2\n3 1\n2 3\n2 3\n3 1\n2 3\n2 3\n3 1\n1 1\n3 2\n2 3\n3 3\n3 2\n3 1\n3 2\n3 1\n2 1\n1 3\n2 2\n2 2\n3 2\n1 2\n3 1\n3 2\n3 1\n1 2\n3 1\n3 1\n3 1\n2 3\n1 3\n1 3\n2 2\n1 2\n3 3\n3 2\n3 2\n3 3\n1 3\n2 1\n1 2\n3 2\n1 2\n2 3\n1 2\n2 3\n2 3\n3 2\n3 1\n2 3\n1 2\n1 1\n1 1\n3 1\n2 3\n2 1\n2 3\n3 2\n1 1\n3 3\n1 3\n3 2\n3 2\n2 2\n2 2\n2 2\n1 1\n1 2\n1 2\n3 3\n1 1\n3 2\n1 2\n2 2\n3 3\n2 2\n1 2\n2 3\n",
"100 3000\n3 3\n2 1\n3 3\n4 1\n2 4\n3 1\n3 4\n1 2\n3 4\n4 3\n2 2\n2 3\n4 2\n3 3\n1 3\n4 3\n3 1\n4 3\n2 2\n2 4\n2 2\n3 2\n2 1\n3 4\n1 1\n1 1\n1 2\n1 3\n2 4\n3 4\n2 4\n2 3\n3 1\n4 1\n1 3\n2 2\n3 2\n2 2\n3 3\n2 2\n4 4\n4 3\n1 3\n2 3\n1 3\n1 1\n2 3\n3 3\n4 2\n2 2\n1 1\n1 3\n4 4\n3 3\n4 2\n1 4\n5 4\n2 4\n1 3\n2 3\n1 3\n1 1\n4 4\n3 2\n2 1\n4 4\n2 1\n2 1\n2 3\n3 3\n2 4\n2 1\n4 1\n3 1\n2 3\n1 2\n1 1\n1 1\n2 2\n1 1\n4 1\n4 4\n3 2\n2 2\n1 4\n2 2\n4 3\n2 2\n4 1\n2 1\n4 2\n2 4\n2 1\n3 4\n4 2\n2 4\n3 4\n2 1\n1 1\n1 2\n",
"100 3000\n1 4\n2 1\n3 3\n1 1\n5 4\n4 1\n2 1\n5 4\n1 1\n3 3\n4 3\n3 4\n4 2\n2 4\n1 2\n3 4\n5 3\n1 4\n2 4\n4 5\n1 2\n5 2\n2 2\n3 2\n4 4\n1 4\n5 5\n3 4\n4 1\n3 3\n5 2\n3 3\n4 1\n1 5\n4 3\n5 3\n4 2\n3 3\n3 5\n5 1\n5 1\n3 3\n4 3\n1 3\n4 1\n2 3\n1 3\n1 2\n5 5\n5 2\n1 5\n4 2\n1 1\n1 1\n1 2\n4 4\n5 4\n2 5\n1 3\n5 3\n1 1\n3 5\n1 4\n5 2\n2 3\n1 3\n5 1\n3 4\n10 1\n5 3\n3 2\n2 4\n5 2\n2 5\n5 4\n2 4\n1 1\n2 1\n2 3\n4 4\n1 5\n2 2\n1 3\n3 1\n3 2\n5 2\n5 5\n2 5\n2 3\n3 2\n4 1\n2 3\n5 1\n4 2\n2 4\n2 1\n5 3\n5 4\n1 1\n2 3\n",
"100 2000\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n2 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n",
"4 6\n1 1\n1 2\n2 1\n2 1\n",
"50 30\n9 35\n1 48\n20 43\n41 39\n28 7\n14 10\n3 45\n35 37\n31 27\n11 16\n40 8\n4 7\n15 33\n29 17\n41 45\n11 24\n6 8\n6 2\n2 42\n19 34\n7 36\n14 15\n26 2\n22 33\n15 22\n49 23\n10 41\n6 17\n21 11\n15 37\n49 26\n49 49\n15 29\n12 49\n22 13\n7 49\n25 32\n7 7\n31 37\n23 14\n5 37\n14 6\n44 21\n8 16\n22 7\n43 44\n36 44\n4 26\n22 46\n4 21\n",
"10 50\n9 7\n2 2\n7 18\n10 9\n6 1\n8 10\n10 5\n7 5\n4 5\n8 1\n",
"4 6\n2 1\n1 2\n3 1\n5 10\n",
"100 3000\n1 1\n3 3\n3 2\n1 1\n3 2\n1 3\n1 3\n1 1\n2 3\n2 3\n3 2\n1 3\n3 3\n1 1\n3 1\n2 3\n3 1\n2 1\n3 2\n3 2\n2 2\n1 2\n3 3\n3 3\n3 3\n3 3\n1 3\n3 2\n2 3\n3 2\n5 1\n1 1\n3 1\n1 3\n1 2\n2 1\n3 2\n2 3\n3 1\n3 2\n3 1\n2 1\n1 3\n1 1\n3 3\n2 2\n3 2\n3 3\n2 2\n2 3\n3 3\n2 3\n2 2\n3 3\n3 3\n1 1\n2 3\n1 1\n3 3\n3 3\n2 2\n1 2\n3 2\n3 3\n3 3\n3 3\n3 1\n1 2\n1 1\n1 1\n2 1\n1 2\n3 2\n2 3\n3 2\n1 1\n2 1\n2 2\n1 1\n1 2\n1 3\n2 2\n2 3\n2 1\n1 2\n3 1\n3 1\n3 3\n2 3\n1 1\n3 3\n2 2\n1 3\n3 1\n2 3\n2 2\n3 2\n1 1\n3 3\n3 2\n",
"10 5\n2 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n",
"100 2000\n2 2\n2 1\n2 2\n1 2\n1 2\n2 2\n1 2\n1 2\n2 2\n2 1\n1 1\n2 2\n2 2\n2 1\n2 2\n2 2\n1 1\n2 2\n1 2\n2 2\n1 1\n2 1\n2 1\n2 1\n1 1\n2 1\n2 1\n1 2\n2 1\n2 1\n1 2\n1 2\n2 2\n1 2\n2 1\n2 2\n2 2\n1 1\n2 2\n2 2\n2 2\n2 1\n2 2\n1 1\n1 2\n1 2\n2 1\n2 1\n1 1\n2 1\n1 1\n2 1\n1 1\n2 2\n2 1\n1 2\n1 1\n1 1\n1 2\n1 2\n2 1\n2 2\n1 2\n2 1\n2 2\n1 2\n2 1\n2 1\n2 2\n1 2\n2 2\n1 1\n2 2\n3 1\n2 2\n1 1\n1 2\n1 1\n1 1\n1 2\n1 1\n2 1\n2 1\n2 2\n2 1\n1 1\n2 1\n1 1\n1 1\n1 1\n1 2\n1 2\n1 1\n2 1\n1 2\n2 1\n2 2\n2 1\n1 1\n2 2\n",
"13 10\n4 4\n1 3\n3 3\n2 2\n3 1\n3 4\n4 1\n1 3\n2 3\n1 3\n3 1\n3 3\n2 1\n",
"5 10\n1 2\n2 3\n1 2\n3 1\n2 3\n",
"10 11\n3 12\n10 2\n2 6\n7 6\n8 1\n2 3\n7 10\n8 2\n6 5\n2 5\n",
"30 10\n27 10\n39 39\n87 45\n70 82\n20 50\n45 51\n67 31\n43 96\n87 26\n59 20\n42 22\n69 71\n10 30\n39 59\n42 100\n4 67\n21 55\n83 69\n33 81\n37 43\n57 12\n30 83\n34 12\n35 32\n11 12\n51 96\n100 68\n96 20\n50 61\n46 61\n",
"50 2000\n12 1\n11 29\n7 4\n18 27\n25 17\n28 5\n1 17\n10 29\n10 21\n8 7\n23 4\n20 7\n8 24\n2 27\n13 13\n14 15\n19 15\n7 26\n24 13\n8 25\n7 11\n18 11\n19 1\n30 15\n3 24\n27 7\n24 25\n7 7\n14 23\n3 24\n25 10\n10 3\n4 11\n22 29\n27 28\n23 5\n3 6\n16 3\n30 18\n16 22\n24 7\n11 1\n10 23\n2 3\n27 28\n28 25\n20 21\n25 3\n10 3\n7 25\n",
"60 900\n38 15\n10 1\n14 37\n13 1\n40 15\n31 26\n31 4\n12 5\n28 34\n37 7\n28 34\n11 30\n30 16\n27 18\n11 18\n17 6\n38 22\n31 37\n20 38\n21 23\n11 12\n24 35\n36 8\n13 13\n34 39\n20 15\n17 3\n23 17\n18 23\n26 18\n11 2\n18 30\n25 25\n32 40\n9 38\n37 39\n39 37\n5 10\n27 19\n14 21\n34 8\n7 36\n29 3\n11 21\n32 2\n21 40\n10 33\n36 39\n15 31\n38 16\n4 14\n6 16\n31 18\n15 23\n1 38\n32 24\n13 12\n15 15\n24 11\n24 27\n",
"6 6\n2 1\n3 2\n2 5\n3 5\n5 1\n2 1\n",
"100 1500\n3 3\n3 2\n1 3\n3 1\n2 3\n3 2\n3 2\n2 1\n3 1\n2 3\n3 3\n3 1\n1 1\n3 1\n3 3\n2 2\n2 2\n1 2\n1 1\n3 1\n2 2\n2 3\n2 3\n2 2\n3 3\n3 2\n1 1\n3 3\n2 2\n1 3\n3 3\n3 1\n1 2\n3 3\n3 3\n2 2\n1 1\n3 3\n1 3\n2 1\n1 2\n2 1\n1 3\n1 3\n1 3\n1 1\n1 3\n3 1\n2 3\n1 3\n2 2\n2 1\n2 1\n2 3\n3 2\n1 2\n2 2\n1 3\n1 1\n1 3\n3 3\n1 3\n3 2\n1 3\n2 1\n2 3\n2 3\n2 3\n3 2\n1 3\n1 3\n2 3\n1 3\n2 1\n3 2\n3 3\n1 1\n3 1\n3 3\n1 3\n3 2\n3 2\n2 2\n1 3\n2 2\n3 2\n1 3\n2 2\n2 1\n3 2\n1 3\n3 2\n1 2\n2 2\n1 3\n1 1\n3 3\n2 2\n3 1\n3 2\n",
"4 3\n1 2\n1 1\n4 1\n2 3\n",
"100 2500\n3 1\n3 2\n3 2\n3 1\n1 1\n1 2\n3 3\n1 2\n1 2\n3 1\n3 3\n3 2\n1 3\n2 1\n2 3\n2 2\n1 3\n2 2\n2 2\n2 1\n2 3\n1 3\n1 2\n3 1\n2 3\n2 3\n3 1\n2 3\n2 3\n3 1\n1 1\n3 2\n2 3\n3 3\n3 2\n3 1\n3 2\n3 1\n2 1\n1 3\n2 2\n2 2\n3 2\n1 2\n3 1\n3 2\n3 1\n1 2\n3 1\n3 1\n3 1\n2 3\n1 3\n1 3\n2 2\n1 2\n3 3\n3 2\n3 2\n3 3\n1 3\n2 1\n1 2\n3 2\n1 2\n2 3\n1 2\n2 3\n2 3\n3 2\n3 1\n2 3\n1 2\n1 1\n1 1\n3 1\n2 3\n2 1\n2 3\n3 2\n1 1\n3 3\n1 3\n3 2\n3 2\n2 2\n2 2\n2 2\n1 1\n1 2\n1 2\n3 3\n1 1\n3 2\n1 2\n2 2\n3 3\n2 2\n1 2\n2 3\n",
"100 3000\n3 3\n2 1\n3 3\n4 1\n2 4\n3 1\n3 4\n1 2\n3 4\n4 3\n2 2\n2 3\n4 2\n3 3\n1 3\n4 3\n3 1\n4 3\n3 2\n2 4\n2 2\n3 2\n2 1\n3 4\n1 1\n1 1\n1 2\n1 3\n2 4\n3 4\n2 4\n2 3\n3 1\n4 1\n1 3\n2 2\n3 2\n2 2\n3 3\n2 2\n4 4\n4 3\n1 3\n2 3\n1 3\n1 1\n2 3\n3 3\n4 2\n2 2\n1 1\n1 3\n4 4\n3 3\n4 2\n1 4\n5 4\n2 4\n1 3\n2 3\n1 3\n1 1\n4 4\n3 2\n2 1\n4 4\n2 1\n2 1\n2 3\n3 3\n2 4\n2 1\n4 1\n3 1\n2 3\n1 2\n1 1\n1 1\n2 2\n1 1\n4 1\n4 4\n3 2\n2 2\n1 4\n2 2\n4 3\n2 2\n4 1\n2 1\n4 2\n2 4\n2 1\n3 4\n4 2\n2 4\n3 4\n2 1\n1 1\n1 2\n",
"100 3000\n1 4\n2 1\n3 3\n1 1\n5 4\n4 1\n2 1\n5 4\n1 1\n3 3\n4 3\n3 4\n4 2\n2 4\n1 2\n3 4\n5 3\n1 4\n2 4\n4 2\n1 2\n5 2\n2 2\n3 2\n4 4\n1 4\n5 5\n3 4\n4 1\n3 3\n5 2\n3 3\n4 1\n1 5\n4 3\n5 3\n4 2\n3 3\n3 5\n5 1\n5 1\n3 3\n4 3\n1 3\n4 1\n2 3\n1 3\n1 2\n5 5\n5 2\n1 5\n4 2\n1 1\n1 1\n1 2\n4 4\n5 4\n2 5\n1 3\n5 3\n1 1\n3 5\n1 4\n5 2\n2 3\n1 3\n5 1\n3 4\n10 1\n5 3\n3 2\n2 4\n5 2\n2 5\n5 4\n2 4\n1 1\n2 1\n2 3\n4 4\n1 5\n2 2\n1 3\n3 1\n3 2\n5 2\n5 5\n2 5\n2 3\n3 2\n4 1\n2 3\n5 1\n4 2\n2 4\n2 1\n5 3\n5 4\n1 1\n2 3\n",
"100 3000\n1 1\n3 3\n3 2\n1 1\n3 2\n1 3\n1 3\n1 1\n2 3\n2 3\n3 2\n1 3\n3 3\n1 1\n3 1\n2 3\n3 1\n2 1\n3 2\n3 2\n2 2\n1 2\n3 3\n3 3\n3 3\n3 3\n1 3\n3 2\n2 3\n3 2\n5 1\n1 1\n3 1\n1 3\n1 2\n2 1\n3 2\n2 3\n3 1\n3 2\n3 1\n2 1\n1 3\n1 1\n3 3\n2 2\n3 2\n3 3\n2 2\n2 3\n3 3\n2 3\n2 2\n3 3\n3 3\n1 1\n2 3\n1 1\n3 3\n3 3\n2 2\n1 2\n3 2\n5 3\n3 3\n3 3\n3 1\n1 2\n1 1\n1 1\n2 1\n1 2\n3 2\n2 3\n3 2\n1 1\n2 1\n2 2\n1 1\n1 2\n1 3\n2 2\n2 3\n2 1\n1 2\n3 1\n3 1\n3 3\n2 3\n1 1\n3 3\n2 2\n1 3\n3 1\n2 3\n2 2\n3 2\n1 1\n3 3\n3 2\n",
"100 2000\n2 2\n2 1\n2 2\n1 2\n1 2\n2 2\n1 2\n1 2\n2 2\n2 1\n1 1\n2 2\n2 2\n2 1\n2 2\n2 2\n1 1\n2 2\n1 2\n2 2\n1 1\n2 1\n2 1\n2 1\n1 1\n2 1\n2 1\n1 2\n2 1\n2 1\n1 2\n1 2\n2 2\n1 2\n2 1\n2 2\n2 3\n1 1\n2 2\n2 2\n2 2\n2 1\n2 2\n1 1\n1 2\n1 2\n2 1\n2 1\n1 1\n2 1\n1 1\n2 1\n1 1\n2 2\n2 1\n1 2\n1 1\n1 1\n1 2\n1 2\n2 1\n2 2\n1 2\n2 1\n2 2\n1 2\n2 1\n2 1\n2 2\n1 2\n2 2\n1 1\n2 2\n3 1\n2 2\n1 1\n1 2\n1 1\n1 1\n1 2\n1 1\n2 1\n2 1\n2 2\n2 1\n1 1\n2 1\n1 1\n1 1\n1 1\n1 2\n1 2\n1 1\n2 1\n1 2\n2 1\n2 2\n2 1\n1 1\n2 2\n",
"13 10\n4 4\n1 3\n3 3\n2 2\n3 1\n3 4\n4 1\n1 1\n2 3\n1 3\n3 1\n3 3\n2 1\n",
"5 10\n2 2\n2 3\n1 2\n3 1\n2 3\n",
"10 11\n4 12\n10 2\n2 6\n7 6\n8 1\n2 3\n7 10\n8 2\n6 5\n2 5\n",
"50 2000\n12 1\n11 29\n7 4\n18 27\n25 17\n28 5\n1 17\n10 29\n10 21\n8 7\n23 4\n20 7\n8 24\n2 27\n13 13\n14 15\n19 15\n3 26\n24 13\n8 25\n7 11\n18 11\n19 1\n30 15\n3 24\n27 7\n24 25\n7 7\n14 23\n3 24\n25 10\n10 3\n4 11\n22 29\n27 28\n23 5\n3 6\n16 3\n30 18\n16 22\n24 7\n11 1\n10 23\n2 3\n27 28\n28 25\n20 21\n25 3\n10 3\n7 25\n",
"60 900\n38 15\n10 1\n14 37\n13 1\n40 15\n31 26\n31 4\n12 5\n28 34\n37 7\n28 34\n11 30\n30 16\n27 18\n11 18\n17 6\n38 22\n31 37\n20 38\n21 23\n11 12\n24 35\n36 8\n13 13\n34 39\n20 15\n17 3\n23 17\n18 23\n26 18\n11 2\n18 30\n25 25\n32 67\n9 38\n37 39\n39 37\n5 10\n27 19\n14 21\n34 8\n7 36\n29 3\n11 21\n32 2\n21 40\n10 33\n36 39\n15 31\n38 16\n4 14\n6 16\n31 18\n15 23\n1 38\n32 24\n13 12\n15 15\n24 11\n24 27\n",
"6 6\n2 1\n3 2\n2 5\n3 5\n5 1\n3 1\n",
"100 1500\n3 3\n3 2\n1 3\n3 1\n2 3\n3 2\n3 2\n2 1\n3 1\n2 3\n3 3\n3 1\n1 1\n3 1\n3 3\n2 2\n2 2\n1 2\n1 1\n3 1\n2 2\n2 3\n2 3\n2 2\n3 3\n3 2\n1 1\n3 3\n2 2\n1 3\n3 3\n3 1\n1 2\n3 3\n3 3\n1 2\n1 1\n3 3\n1 3\n2 1\n1 2\n2 1\n1 3\n1 3\n1 3\n1 1\n1 3\n3 1\n2 3\n1 3\n2 2\n2 1\n2 1\n2 3\n3 2\n1 2\n2 2\n1 3\n1 1\n1 3\n3 3\n1 3\n3 2\n1 3\n2 1\n2 3\n2 3\n2 3\n3 2\n1 3\n1 3\n2 3\n1 3\n2 1\n3 2\n3 3\n1 1\n3 1\n3 3\n1 3\n3 2\n3 2\n2 2\n1 3\n2 2\n3 2\n1 3\n2 2\n2 1\n3 2\n1 3\n3 2\n1 2\n2 2\n1 3\n1 1\n3 3\n2 2\n3 1\n3 2\n",
"100 2500\n3 1\n3 2\n3 2\n3 1\n1 1\n1 2\n3 3\n1 2\n1 2\n3 1\n3 3\n3 2\n1 3\n2 1\n2 3\n2 2\n1 3\n2 2\n2 2\n2 1\n2 3\n1 3\n1 2\n3 1\n2 3\n2 3\n3 1\n2 3\n2 3\n3 1\n1 1\n3 2\n2 3\n3 3\n3 2\n3 1\n3 2\n3 1\n2 1\n1 3\n2 2\n2 2\n3 2\n1 2\n3 1\n3 2\n3 1\n1 2\n3 1\n3 1\n3 1\n2 3\n1 3\n1 3\n2 2\n1 2\n3 3\n3 2\n3 2\n3 3\n1 3\n2 1\n1 2\n3 2\n1 2\n2 3\n1 2\n2 3\n1 3\n3 2\n3 1\n2 3\n1 2\n1 1\n1 1\n3 1\n2 3\n2 1\n2 3\n3 2\n1 1\n3 3\n1 3\n3 2\n3 2\n2 2\n2 2\n2 2\n1 1\n1 2\n1 2\n3 3\n1 1\n3 2\n1 2\n2 2\n3 3\n2 2\n1 2\n2 3\n",
"1 1729\n78 92\n",
"30 2800\n25 12\n43 10\n38 39\n14 8\n35 41\n19 11\n23 5\n28 2\n7 36\n9 36\n38 32\n28 29\n18 31\n22 6\n25 40\n43 25\n36 33\n14 24\n13 40\n1 1\n19 44\n37 18\n7 17\n18 14\n44 35\n15 37\n43 23\n34 29\n3 21\n31 47\n",
"10 30\n12 35\n2 8\n19 7\n7 1\n27 14\n13 3\n14 7\n19 26\n21 17\n17 30\n",
"1 4\n0 1\n",
"8 20\n18 18\n14 15\n9 4\n5 9\n2 7\n9 2\n9 19\n2 11\n",
"2 3\n1 4\n2 3\n",
"50 100\n45 74\n41 31\n84 56\n14 8\n25 94\n71 76\n35 8\n66 67\n27 54\n67 91\n71 20\n71 91\n7 58\n13 34\n47 60\n68 32\n74 58\n78 55\n67 40\n22 67\n27 59\n2 2\n89 62\n90 60\n41 57\n66 24\n65 93\n55 8\n94 2\n82 81\n91 67\n63 30\n24 12\n95 49\n48 63\n30 23\n32 86\n10 98\n89 71\n73 35\n85 60\n22 46\n9 50\n79 75\n24 53\n48 17\n22 61\n26 49\n89 58\n77 85\n",
"1 1729\n68 92\n",
"30 2800\n25 12\n43 10\n38 39\n14 8\n35 41\n19 11\n23 5\n28 2\n7 36\n9 36\n38 32\n28 29\n18 31\n22 6\n25 40\n43 25\n36 33\n14 24\n13 40\n1 1\n19 44\n37 18\n7 17\n18 14\n44 35\n15 51\n43 23\n34 29\n3 21\n31 47\n",
"50 30\n9 35\n1 48\n20 43\n41 39\n28 7\n14 10\n3 45\n35 37\n31 27\n11 16\n40 8\n4 7\n15 33\n29 17\n41 45\n11 24\n6 8\n6 2\n2 42\n19 34\n7 36\n14 15\n26 2\n22 33\n15 22\n49 23\n10 41\n6 17\n21 11\n15 37\n49 26\n49 49\n15 29\n12 49\n22 13\n7 49\n25 32\n7 7\n31 37\n23 14\n5 37\n14 6\n44 21\n8 16\n22 7\n43 44\n36 44\n4 49\n22 46\n4 21\n",
"10 50\n9 7\n2 2\n2 18\n10 9\n6 1\n8 10\n10 5\n7 5\n4 5\n8 1\n",
"10 30\n12 35\n2 8\n19 7\n7 1\n27 14\n13 3\n14 12\n19 26\n21 17\n17 30\n",
"4 6\n2 2\n1 2\n3 1\n5 10\n",
"1 4\n0 2\n",
"30 10\n27 10\n39 39\n87 45\n70 82\n20 50\n45 51\n67 31\n43 96\n87 26\n59 20\n42 22\n69 71\n10 30\n39 59\n42 100\n4 67\n21 55\n83 69\n33 81\n37 43\n57 12\n30 83\n34 12\n35 32\n11 12\n51 96\n100 68\n96 20\n50 61\n55 61\n",
"8 20\n18 18\n14 15\n9 4\n5 9\n2 7\n9 4\n9 19\n2 11\n",
"2 3\n1 4\n2 0\n",
"4 3\n2 2\n1 1\n4 1\n2 3\n",
"50 100\n45 74\n41 31\n84 56\n14 8\n25 94\n71 76\n35 8\n66 67\n27 54\n67 91\n71 20\n71 91\n7 58\n13 34\n47 60\n68 32\n74 58\n78 55\n67 40\n22 67\n27 59\n2 2\n89 62\n90 60\n41 57\n66 24\n65 93\n55 8\n94 2\n82 81\n91 67\n51 30\n24 12\n95 49\n48 63\n30 23\n32 86\n10 98\n89 71\n73 35\n85 60\n22 46\n9 50\n79 75\n24 53\n48 17\n22 61\n26 49\n89 58\n77 85\n"
],
"output": [
"1\n",
"2\n",
"20\n",
"548967810\n",
"4\n",
"62\n",
"964762206\n",
"2\n",
"0\n",
"563987225\n",
"822253206\n",
"0\n",
"440706472\n",
"370055910\n",
"0\n",
"216\n",
"12\n",
"2\n",
"42\n",
"9\n",
"1\n",
"0\n",
"1\n",
"936413338\n",
"65610\n",
"94\n",
"842986379\n",
"4551\n",
"50\n",
"10\n",
"379149793\n",
"1\n",
"771010208\n",
"457432849\n",
"0\n",
"510185509\n",
"3\n",
"1\n",
"0\n",
"599013005\n",
"33450069\n",
"168261943\n",
"240581141\n",
"96\n",
"12\n",
"11\n",
"8\n",
"702229178\n",
"42120\n",
"444126391\n",
"4072\n",
"118\n",
"10\n",
"2\n",
"609777220\n",
"522745070\n",
"20\n",
"339606575\n",
"4\n",
"543868255\n",
"868799599\n",
"654961948\n",
"746061043\n",
"107396603\n",
"6413\n",
"66\n",
"9\n",
"960802671\n",
"800064799\n",
"16\n",
"805415018\n",
"738169119\n",
"0\n",
"0\n",
"1\n",
"0\n",
"0\n",
"1\n",
"1\n",
"0\n",
"0\n",
"8\n",
"11\n",
"1\n",
"2\n",
"0\n",
"2\n",
"0\n",
"0\n",
"1\n",
"1\n"
]
} | 2CODEFORCES
|
182_E. Wooden Fence_38233 | Vasya has recently bought some land and decided to surround it with a wooden fence.
He went to a company called "Wooden board" that produces wooden boards for fences. Vasya read in the catalog of products that the company has at its disposal n different types of wood. The company uses the i-th type of wood to produce a board of this type that is a rectangular ai by bi block.
Vasya decided to order boards in this company and build a fence from them. It turned out that the storehouse of the company is so large that Vasya can order arbitrary number of boards of every type. Note that Vasya is allowed to turn the boards as he builds the fence. However, Vasya cannot turn square boards.
Vasya is required to construct a fence of length l, however, an arbitrary fence won't do. Vasya wants his fence to look beautiful. We'll say that a fence is beautiful if and only if the following two conditions are fulfilled:
* there are no two successive boards of the same type
* the first board of the fence has an arbitrary length, and the length of each subsequent board equals the width of the previous one
In other words, the fence is considered beautiful, if the type of the i-th board in the fence is different from the i - 1-th board's type; besides, the i-th board's length is equal to the i - 1-th board's width (for all i, starting from 2).
Now Vasya wonders, how many variants of arranging a fence for his land exist. Your task is to count the number of different beautiful fences of length l.
Two fences will be considered the same if the corresponding sequences of fence boards types and rotations are the same, otherwise the fences are different. Since the sought number can be large enough, you need to calculate the answer modulo 1000000007 (109 + 7).
Input
The first line contains two integers n and l (1 ≤ n ≤ 100, 1 ≤ l ≤ 3000) — the number of different board types and the fence length, correspondingly. Next n lines contain descriptions of board types: the i-th line contains two integers ai and bi (1 ≤ ai, bi ≤ 100) — the sizes of the board of the i-th type. All numbers on the lines are separated by spaces.
Output
Print a single integer — the sought number of variants modulo 1000000007 (109 + 7).
Examples
Input
2 3
1 2
2 3
Output
2
Input
1 2
2 2
Output
1
Input
6 6
2 1
3 2
2 5
3 3
5 1
2 1
Output
20
Note
In the first sample there are exactly two variants of arranging a beautiful fence of length 3:
* As the first fence board use the board of the first type of length 1 and width 2. As the second board use board of the second type of length 2 and width 3.
* Use one board of the second type after you turn it. That makes its length equal 3, and width — 2. | #include <bits/stdc++.h>
using namespace std;
long long d[3030][110][2];
int main() {
int l, n, a[1000], b[1000], i, j, k, len, wid;
long long ans;
cin >> n >> l;
for (i = 0; i < n; i++) cin >> a[i] >> b[i];
for (i = 0; i < n; i++) {
d[a[i]][i][0]++;
d[b[i]][i][1]++;
}
for (i = 0; i <= l; i++) {
for (j = 0; j < n; j++) {
wid = a[j];
len = b[j];
if (i >= wid)
for (k = 0; k < n; k++) {
if (k == j) continue;
if (a[k] == len)
d[i][j][0] += d[i - wid][k][0], d[i][j][0] %= 1000000007;
if (b[k] == len && a[k] != b[k])
d[i][j][0] += d[i - wid][k][1], d[i][j][0] %= 1000000007;
}
swap(len, wid);
if (i >= wid && len != wid)
for (k = 0; k < n; k++) {
if (k == j) continue;
if (a[k] == len)
d[i][j][1] += d[i - wid][k][0], d[i][j][1] %= 1000000007;
if (b[k] == len && a[k] != b[k])
d[i][j][1] += d[i - wid][k][1], d[i][j][1] %= 1000000007;
}
}
}
ans = 0;
for (j = 0; j < n; j++)
if (a[j] != b[j])
ans += d[l][j][0] + d[l][j][1];
else
ans += d[l][j][0];
cout << ans % 1000000007;
return 0;
}
| 2C++
| {
"input": [
"1 2\n2 2\n",
"2 3\n1 2\n2 3\n",
"6 6\n2 1\n3 2\n2 5\n3 3\n5 1\n2 1\n",
"100 1500\n3 3\n3 2\n1 3\n3 1\n2 3\n3 2\n3 2\n2 1\n3 1\n2 3\n3 3\n3 1\n1 1\n3 1\n3 3\n2 2\n2 2\n1 2\n1 1\n3 1\n2 2\n2 3\n2 3\n2 2\n3 3\n3 2\n1 1\n3 3\n2 2\n1 3\n3 3\n3 1\n1 2\n3 3\n3 3\n2 2\n1 1\n3 3\n1 3\n2 1\n1 2\n2 1\n1 3\n1 3\n1 3\n1 1\n1 3\n3 1\n2 3\n1 3\n2 2\n2 1\n2 1\n2 3\n3 2\n1 2\n2 2\n1 3\n1 1\n1 3\n3 3\n1 3\n3 2\n1 3\n2 1\n2 3\n2 3\n2 3\n3 2\n1 2\n1 3\n2 3\n1 3\n2 1\n3 2\n3 3\n1 1\n3 1\n3 3\n1 3\n3 2\n3 2\n2 2\n1 3\n2 2\n3 2\n1 3\n2 2\n2 1\n3 2\n1 3\n3 2\n1 2\n2 2\n1 3\n1 1\n3 3\n2 2\n3 1\n3 3\n",
"4 3\n1 2\n1 1\n3 1\n2 2\n",
"5 8\n3 1\n2 1\n2 3\n2 1\n3 1\n",
"40 700\n11 14\n4 14\n14 13\n12 9\n14 10\n3 9\n7 7\n5 15\n1 11\n5 7\n2 9\n7 5\n3 10\n5 14\n4 11\n13 6\n4 6\n3 9\n1 11\n8 13\n6 4\n12 10\n10 14\n8 2\n1 15\n13 13\n6 11\n7 2\n7 12\n8 7\n1 13\n13 7\n12 10\n1 7\n7 1\n4 4\n10 7\n1 4\n13 8\n13 10\n",
"50 100\n45 74\n41 31\n84 56\n14 8\n25 94\n71 76\n35 8\n66 67\n27 54\n67 91\n71 20\n71 91\n7 58\n13 34\n47 60\n68 32\n74 58\n78 55\n67 40\n22 67\n27 59\n2 2\n89 62\n90 60\n41 57\n66 24\n65 93\n55 8\n94 2\n82 81\n91 67\n63 68\n24 12\n95 49\n48 63\n30 23\n32 86\n10 98\n89 71\n73 35\n85 60\n22 46\n9 50\n79 75\n24 53\n48 17\n22 61\n26 49\n89 58\n77 56\n",
"1 3\n1 1\n",
"100 2500\n3 1\n3 2\n3 2\n3 1\n1 1\n1 2\n3 3\n1 2\n1 2\n3 1\n3 3\n3 2\n1 3\n2 1\n2 3\n2 2\n1 3\n2 2\n2 2\n1 1\n2 3\n1 3\n1 2\n3 1\n2 3\n2 3\n3 1\n2 3\n2 3\n3 1\n1 1\n3 2\n2 3\n3 3\n3 2\n3 1\n3 2\n3 1\n2 1\n1 3\n2 2\n2 2\n3 2\n1 2\n3 1\n3 2\n3 1\n1 2\n3 1\n3 1\n3 1\n2 3\n1 3\n1 3\n2 2\n1 2\n3 3\n3 2\n3 2\n3 3\n3 3\n2 1\n1 2\n3 2\n1 2\n2 3\n1 2\n2 3\n2 3\n3 2\n3 1\n2 3\n1 2\n1 1\n1 1\n3 1\n2 3\n2 1\n2 3\n3 2\n1 1\n3 3\n1 3\n3 2\n3 2\n2 2\n2 2\n2 2\n1 1\n1 2\n1 2\n3 3\n1 1\n3 2\n1 2\n2 2\n3 3\n2 2\n1 2\n2 3\n",
"100 3000\n3 3\n2 1\n3 3\n4 1\n2 4\n3 1\n3 4\n1 2\n3 4\n4 3\n2 2\n2 3\n4 2\n3 3\n1 3\n4 3\n3 1\n4 3\n2 2\n2 4\n2 2\n3 2\n2 1\n3 4\n1 1\n1 1\n1 2\n1 3\n2 4\n3 4\n2 4\n2 3\n3 1\n4 1\n1 3\n2 2\n3 2\n2 2\n3 3\n2 2\n4 4\n4 3\n1 3\n2 3\n1 3\n1 1\n2 3\n3 3\n4 2\n2 2\n1 1\n1 3\n4 4\n3 3\n4 2\n1 4\n4 4\n2 4\n1 3\n2 3\n1 3\n1 1\n4 4\n3 2\n2 1\n4 4\n2 1\n2 1\n2 3\n3 3\n2 4\n2 1\n4 1\n3 1\n2 3\n1 2\n1 1\n1 1\n2 2\n1 1\n4 1\n4 4\n3 2\n2 2\n1 4\n2 2\n4 3\n2 2\n4 1\n2 1\n4 2\n2 4\n2 1\n3 4\n4 2\n2 4\n3 4\n2 1\n1 1\n1 2\n",
"1 3000\n78 92\n",
"100 3000\n1 4\n2 1\n3 3\n1 1\n5 4\n4 1\n2 1\n5 4\n1 1\n3 3\n4 3\n3 4\n4 2\n2 4\n1 2\n3 4\n5 3\n1 4\n2 4\n4 5\n1 2\n5 2\n2 2\n3 2\n4 4\n1 4\n5 5\n3 4\n4 1\n3 3\n5 2\n3 3\n4 1\n1 5\n4 3\n5 3\n4 2\n3 3\n3 5\n5 1\n5 1\n3 3\n4 3\n1 3\n4 1\n2 3\n1 3\n1 2\n5 5\n5 2\n1 5\n4 2\n1 1\n1 1\n1 2\n4 4\n5 4\n2 5\n1 3\n5 3\n1 1\n3 5\n1 4\n5 2\n2 3\n1 3\n5 1\n3 4\n5 1\n5 3\n3 2\n2 4\n5 2\n2 5\n5 4\n2 4\n1 1\n2 1\n2 3\n4 4\n1 5\n2 2\n1 3\n3 1\n3 2\n5 2\n5 5\n2 5\n2 3\n3 2\n4 1\n2 3\n5 1\n4 2\n2 4\n2 1\n5 3\n5 4\n1 1\n2 3\n",
"100 2000\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n",
"30 2800\n25 12\n43 10\n38 39\n14 8\n35 41\n19 11\n23 5\n28 2\n7 36\n9 36\n38 32\n28 29\n18 31\n22 6\n25 34\n43 25\n36 33\n14 24\n13 40\n1 1\n19 44\n37 18\n7 17\n18 14\n44 35\n15 37\n43 23\n34 29\n3 21\n31 47\n",
"4 6\n2 1\n1 2\n2 1\n2 1\n",
"50 30\n9 35\n1 48\n17 43\n41 39\n28 7\n14 10\n3 45\n35 37\n31 27\n11 16\n40 8\n4 7\n15 33\n29 17\n41 45\n11 24\n6 8\n6 2\n2 42\n19 34\n7 36\n14 15\n26 2\n22 33\n15 22\n49 23\n10 41\n6 17\n21 11\n15 37\n49 26\n49 49\n15 29\n12 49\n22 13\n7 49\n25 32\n7 7\n31 37\n23 14\n5 37\n14 6\n44 21\n8 16\n22 7\n43 44\n36 44\n4 26\n22 46\n4 21\n",
"4 10\n4 5\n5 3\n1 4\n1 2\n",
"10 50\n9 7\n2 2\n7 9\n10 9\n6 1\n8 10\n10 5\n7 5\n4 5\n8 1\n",
"7 4\n1 2\n2 2\n3 3\n3 3\n1 1\n3 3\n3 1\n",
"10 30\n12 21\n2 8\n19 7\n7 1\n27 14\n13 3\n14 7\n19 26\n21 17\n17 30\n",
"4 6\n1 1\n1 2\n3 1\n5 10\n",
"1 4\n4 1\n",
"100 3000\n1 1\n3 3\n3 2\n1 1\n3 2\n1 3\n1 3\n1 1\n2 3\n2 3\n3 2\n1 3\n3 3\n1 1\n3 1\n2 3\n3 1\n2 1\n3 2\n3 2\n2 2\n1 2\n3 3\n3 3\n3 3\n3 3\n1 3\n3 2\n2 3\n3 2\n3 1\n1 1\n3 1\n1 3\n1 2\n2 1\n3 2\n2 3\n3 1\n3 2\n3 1\n2 1\n1 3\n1 1\n3 3\n2 2\n3 2\n3 3\n2 2\n2 3\n3 3\n2 3\n2 2\n3 3\n3 3\n1 1\n2 3\n1 1\n3 3\n3 3\n2 2\n1 2\n3 2\n3 3\n3 3\n3 3\n3 1\n1 2\n1 1\n1 1\n2 1\n1 2\n3 2\n2 3\n3 2\n1 1\n2 1\n2 2\n1 1\n1 2\n1 3\n2 2\n2 3\n2 1\n1 2\n3 1\n3 1\n3 3\n2 3\n1 1\n3 3\n2 2\n1 3\n3 1\n2 3\n2 2\n3 2\n1 1\n3 3\n3 2\n",
"10 5\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n",
"6 7\n3 1\n2 1\n1 2\n4 5\n2 5\n2 1\n",
"100 2000\n2 2\n2 1\n2 2\n1 2\n1 2\n2 2\n1 2\n1 2\n2 2\n2 1\n1 1\n2 2\n2 2\n2 1\n2 2\n2 2\n1 1\n2 2\n1 2\n2 2\n1 1\n2 1\n2 1\n2 1\n1 1\n2 1\n2 1\n1 2\n2 1\n2 1\n1 2\n1 2\n2 2\n1 2\n2 1\n2 2\n2 2\n1 1\n2 2\n2 2\n2 2\n2 1\n2 2\n1 1\n1 2\n1 2\n2 1\n2 1\n1 1\n2 1\n1 1\n2 1\n1 1\n2 2\n2 1\n1 2\n1 1\n1 1\n1 2\n1 2\n2 1\n2 2\n1 2\n2 1\n2 2\n1 2\n2 1\n2 1\n2 2\n1 2\n2 2\n1 1\n2 2\n2 1\n2 2\n1 1\n1 2\n1 1\n1 1\n1 2\n1 1\n2 1\n2 1\n2 2\n2 1\n1 1\n2 1\n1 1\n1 1\n1 1\n1 2\n1 2\n1 1\n2 1\n1 2\n2 1\n2 2\n2 1\n1 1\n2 2\n",
"13 10\n4 2\n1 3\n3 3\n2 2\n3 1\n3 4\n4 1\n1 3\n2 3\n1 3\n3 1\n3 3\n2 1\n",
"5 10\n1 2\n2 3\n1 2\n3 1\n2 4\n",
"10 11\n3 10\n10 2\n2 6\n7 6\n8 1\n2 3\n7 10\n8 2\n6 5\n2 5\n",
"20 20\n2 1\n1 1\n2 3\n2 1\n2 1\n3 3\n2 3\n1 2\n1 1\n1 1\n2 3\n2 3\n1 3\n2 2\n2 1\n3 2\n2 1\n1 1\n1 3\n3 3\n",
"30 80\n27 10\n39 39\n87 45\n70 82\n20 50\n45 51\n67 31\n43 96\n87 26\n59 20\n42 22\n69 71\n10 30\n39 59\n42 100\n4 67\n21 55\n83 69\n33 81\n37 43\n57 12\n30 83\n34 12\n35 32\n11 12\n51 96\n100 68\n96 20\n50 61\n46 61\n",
"50 2000\n12 1\n11 29\n7 4\n18 27\n25 17\n28 5\n1 17\n10 29\n10 21\n8 7\n23 4\n20 7\n8 24\n2 27\n13 13\n14 15\n19 15\n7 26\n24 13\n8 25\n7 11\n18 11\n19 1\n30 15\n3 24\n27 7\n24 25\n7 7\n14 23\n3 24\n25 10\n25 3\n4 11\n22 29\n27 28\n23 5\n3 6\n16 3\n30 18\n16 22\n24 7\n11 1\n10 23\n2 3\n27 28\n28 25\n20 21\n25 3\n10 3\n7 25\n",
"60 900\n38 15\n10 1\n14 37\n13 1\n40 15\n31 26\n31 4\n12 5\n28 34\n37 7\n28 34\n11 30\n30 16\n27 18\n11 18\n17 6\n38 22\n31 37\n20 38\n21 23\n11 12\n24 35\n36 8\n13 13\n34 39\n20 15\n17 3\n23 17\n18 23\n26 18\n11 2\n18 30\n25 25\n32 40\n9 38\n37 39\n39 37\n5 10\n15 19\n14 21\n34 8\n7 36\n29 3\n11 21\n32 2\n21 40\n10 33\n36 39\n15 31\n38 16\n4 14\n6 16\n31 18\n15 23\n1 38\n32 24\n13 12\n15 15\n24 11\n24 27\n",
"8 20\n18 18\n14 15\n8 4\n5 9\n2 7\n9 2\n9 19\n2 11\n",
"100 1500\n3 3\n3 2\n1 3\n3 1\n2 3\n3 2\n3 2\n2 1\n3 1\n2 3\n3 3\n3 1\n1 1\n3 1\n3 3\n2 2\n2 2\n1 2\n1 1\n3 1\n2 2\n2 3\n2 3\n2 2\n3 3\n3 2\n1 1\n3 3\n2 2\n1 3\n3 3\n3 1\n1 2\n3 3\n3 3\n2 2\n1 1\n3 3\n1 3\n2 1\n1 2\n2 1\n1 3\n1 3\n1 3\n1 1\n1 3\n3 1\n2 3\n1 3\n2 2\n2 1\n2 1\n2 3\n3 2\n1 2\n2 2\n1 3\n1 1\n1 3\n3 3\n1 3\n3 2\n1 3\n2 1\n2 3\n2 3\n2 3\n3 2\n1 3\n1 3\n2 3\n1 3\n2 1\n3 2\n3 3\n1 1\n3 1\n3 3\n1 3\n3 2\n3 2\n2 2\n1 3\n2 2\n3 2\n1 3\n2 2\n2 1\n3 2\n1 3\n3 2\n1 2\n2 2\n1 3\n1 1\n3 3\n2 2\n3 1\n3 3\n",
"4 3\n1 2\n1 1\n4 1\n2 2\n",
"50 100\n45 74\n41 31\n84 56\n14 8\n25 94\n71 76\n35 8\n66 67\n27 54\n67 91\n71 20\n71 91\n7 58\n13 34\n47 60\n68 32\n74 58\n78 55\n67 40\n22 67\n27 59\n2 2\n89 62\n90 60\n41 57\n66 24\n65 93\n55 8\n94 2\n82 81\n91 67\n63 30\n24 12\n95 49\n48 63\n30 23\n32 86\n10 98\n89 71\n73 35\n85 60\n22 46\n9 50\n79 75\n24 53\n48 17\n22 61\n26 49\n89 58\n77 56\n",
"1 3\n2 1\n",
"100 2500\n3 1\n3 2\n3 2\n3 1\n1 1\n1 2\n3 3\n1 2\n1 2\n3 1\n3 3\n3 2\n1 3\n2 1\n2 3\n2 2\n1 3\n2 2\n2 2\n1 1\n2 3\n1 3\n1 2\n3 1\n2 3\n2 3\n3 1\n2 3\n2 3\n3 1\n1 1\n3 2\n2 3\n3 3\n3 2\n3 1\n3 2\n3 1\n2 1\n1 3\n2 2\n2 2\n3 2\n1 2\n3 1\n3 2\n3 1\n1 2\n3 1\n3 1\n3 1\n2 3\n1 3\n1 3\n2 2\n1 2\n3 3\n3 2\n3 2\n3 3\n1 3\n2 1\n1 2\n3 2\n1 2\n2 3\n1 2\n2 3\n2 3\n3 2\n3 1\n2 3\n1 2\n1 1\n1 1\n3 1\n2 3\n2 1\n2 3\n3 2\n1 1\n3 3\n1 3\n3 2\n3 2\n2 2\n2 2\n2 2\n1 1\n1 2\n1 2\n3 3\n1 1\n3 2\n1 2\n2 2\n3 3\n2 2\n1 2\n2 3\n",
"100 3000\n3 3\n2 1\n3 3\n4 1\n2 4\n3 1\n3 4\n1 2\n3 4\n4 3\n2 2\n2 3\n4 2\n3 3\n1 3\n4 3\n3 1\n4 3\n2 2\n2 4\n2 2\n3 2\n2 1\n3 4\n1 1\n1 1\n1 2\n1 3\n2 4\n3 4\n2 4\n2 3\n3 1\n4 1\n1 3\n2 2\n3 2\n2 2\n3 3\n2 2\n4 4\n4 3\n1 3\n2 3\n1 3\n1 1\n2 3\n3 3\n4 2\n2 2\n1 1\n1 3\n4 4\n3 3\n4 2\n1 4\n5 4\n2 4\n1 3\n2 3\n1 3\n1 1\n4 4\n3 2\n2 1\n4 4\n2 1\n2 1\n2 3\n3 3\n2 4\n2 1\n4 1\n3 1\n2 3\n1 2\n1 1\n1 1\n2 2\n1 1\n4 1\n4 4\n3 2\n2 2\n1 4\n2 2\n4 3\n2 2\n4 1\n2 1\n4 2\n2 4\n2 1\n3 4\n4 2\n2 4\n3 4\n2 1\n1 1\n1 2\n",
"100 3000\n1 4\n2 1\n3 3\n1 1\n5 4\n4 1\n2 1\n5 4\n1 1\n3 3\n4 3\n3 4\n4 2\n2 4\n1 2\n3 4\n5 3\n1 4\n2 4\n4 5\n1 2\n5 2\n2 2\n3 2\n4 4\n1 4\n5 5\n3 4\n4 1\n3 3\n5 2\n3 3\n4 1\n1 5\n4 3\n5 3\n4 2\n3 3\n3 5\n5 1\n5 1\n3 3\n4 3\n1 3\n4 1\n2 3\n1 3\n1 2\n5 5\n5 2\n1 5\n4 2\n1 1\n1 1\n1 2\n4 4\n5 4\n2 5\n1 3\n5 3\n1 1\n3 5\n1 4\n5 2\n2 3\n1 3\n5 1\n3 4\n10 1\n5 3\n3 2\n2 4\n5 2\n2 5\n5 4\n2 4\n1 1\n2 1\n2 3\n4 4\n1 5\n2 2\n1 3\n3 1\n3 2\n5 2\n5 5\n2 5\n2 3\n3 2\n4 1\n2 3\n5 1\n4 2\n2 4\n2 1\n5 3\n5 4\n1 1\n2 3\n",
"100 2000\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n2 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n",
"4 6\n1 1\n1 2\n2 1\n2 1\n",
"50 30\n9 35\n1 48\n20 43\n41 39\n28 7\n14 10\n3 45\n35 37\n31 27\n11 16\n40 8\n4 7\n15 33\n29 17\n41 45\n11 24\n6 8\n6 2\n2 42\n19 34\n7 36\n14 15\n26 2\n22 33\n15 22\n49 23\n10 41\n6 17\n21 11\n15 37\n49 26\n49 49\n15 29\n12 49\n22 13\n7 49\n25 32\n7 7\n31 37\n23 14\n5 37\n14 6\n44 21\n8 16\n22 7\n43 44\n36 44\n4 26\n22 46\n4 21\n",
"10 50\n9 7\n2 2\n7 18\n10 9\n6 1\n8 10\n10 5\n7 5\n4 5\n8 1\n",
"4 6\n2 1\n1 2\n3 1\n5 10\n",
"100 3000\n1 1\n3 3\n3 2\n1 1\n3 2\n1 3\n1 3\n1 1\n2 3\n2 3\n3 2\n1 3\n3 3\n1 1\n3 1\n2 3\n3 1\n2 1\n3 2\n3 2\n2 2\n1 2\n3 3\n3 3\n3 3\n3 3\n1 3\n3 2\n2 3\n3 2\n5 1\n1 1\n3 1\n1 3\n1 2\n2 1\n3 2\n2 3\n3 1\n3 2\n3 1\n2 1\n1 3\n1 1\n3 3\n2 2\n3 2\n3 3\n2 2\n2 3\n3 3\n2 3\n2 2\n3 3\n3 3\n1 1\n2 3\n1 1\n3 3\n3 3\n2 2\n1 2\n3 2\n3 3\n3 3\n3 3\n3 1\n1 2\n1 1\n1 1\n2 1\n1 2\n3 2\n2 3\n3 2\n1 1\n2 1\n2 2\n1 1\n1 2\n1 3\n2 2\n2 3\n2 1\n1 2\n3 1\n3 1\n3 3\n2 3\n1 1\n3 3\n2 2\n1 3\n3 1\n2 3\n2 2\n3 2\n1 1\n3 3\n3 2\n",
"10 5\n2 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n",
"100 2000\n2 2\n2 1\n2 2\n1 2\n1 2\n2 2\n1 2\n1 2\n2 2\n2 1\n1 1\n2 2\n2 2\n2 1\n2 2\n2 2\n1 1\n2 2\n1 2\n2 2\n1 1\n2 1\n2 1\n2 1\n1 1\n2 1\n2 1\n1 2\n2 1\n2 1\n1 2\n1 2\n2 2\n1 2\n2 1\n2 2\n2 2\n1 1\n2 2\n2 2\n2 2\n2 1\n2 2\n1 1\n1 2\n1 2\n2 1\n2 1\n1 1\n2 1\n1 1\n2 1\n1 1\n2 2\n2 1\n1 2\n1 1\n1 1\n1 2\n1 2\n2 1\n2 2\n1 2\n2 1\n2 2\n1 2\n2 1\n2 1\n2 2\n1 2\n2 2\n1 1\n2 2\n3 1\n2 2\n1 1\n1 2\n1 1\n1 1\n1 2\n1 1\n2 1\n2 1\n2 2\n2 1\n1 1\n2 1\n1 1\n1 1\n1 1\n1 2\n1 2\n1 1\n2 1\n1 2\n2 1\n2 2\n2 1\n1 1\n2 2\n",
"13 10\n4 4\n1 3\n3 3\n2 2\n3 1\n3 4\n4 1\n1 3\n2 3\n1 3\n3 1\n3 3\n2 1\n",
"5 10\n1 2\n2 3\n1 2\n3 1\n2 3\n",
"10 11\n3 12\n10 2\n2 6\n7 6\n8 1\n2 3\n7 10\n8 2\n6 5\n2 5\n",
"30 10\n27 10\n39 39\n87 45\n70 82\n20 50\n45 51\n67 31\n43 96\n87 26\n59 20\n42 22\n69 71\n10 30\n39 59\n42 100\n4 67\n21 55\n83 69\n33 81\n37 43\n57 12\n30 83\n34 12\n35 32\n11 12\n51 96\n100 68\n96 20\n50 61\n46 61\n",
"50 2000\n12 1\n11 29\n7 4\n18 27\n25 17\n28 5\n1 17\n10 29\n10 21\n8 7\n23 4\n20 7\n8 24\n2 27\n13 13\n14 15\n19 15\n7 26\n24 13\n8 25\n7 11\n18 11\n19 1\n30 15\n3 24\n27 7\n24 25\n7 7\n14 23\n3 24\n25 10\n10 3\n4 11\n22 29\n27 28\n23 5\n3 6\n16 3\n30 18\n16 22\n24 7\n11 1\n10 23\n2 3\n27 28\n28 25\n20 21\n25 3\n10 3\n7 25\n",
"60 900\n38 15\n10 1\n14 37\n13 1\n40 15\n31 26\n31 4\n12 5\n28 34\n37 7\n28 34\n11 30\n30 16\n27 18\n11 18\n17 6\n38 22\n31 37\n20 38\n21 23\n11 12\n24 35\n36 8\n13 13\n34 39\n20 15\n17 3\n23 17\n18 23\n26 18\n11 2\n18 30\n25 25\n32 40\n9 38\n37 39\n39 37\n5 10\n27 19\n14 21\n34 8\n7 36\n29 3\n11 21\n32 2\n21 40\n10 33\n36 39\n15 31\n38 16\n4 14\n6 16\n31 18\n15 23\n1 38\n32 24\n13 12\n15 15\n24 11\n24 27\n",
"6 6\n2 1\n3 2\n2 5\n3 5\n5 1\n2 1\n",
"100 1500\n3 3\n3 2\n1 3\n3 1\n2 3\n3 2\n3 2\n2 1\n3 1\n2 3\n3 3\n3 1\n1 1\n3 1\n3 3\n2 2\n2 2\n1 2\n1 1\n3 1\n2 2\n2 3\n2 3\n2 2\n3 3\n3 2\n1 1\n3 3\n2 2\n1 3\n3 3\n3 1\n1 2\n3 3\n3 3\n2 2\n1 1\n3 3\n1 3\n2 1\n1 2\n2 1\n1 3\n1 3\n1 3\n1 1\n1 3\n3 1\n2 3\n1 3\n2 2\n2 1\n2 1\n2 3\n3 2\n1 2\n2 2\n1 3\n1 1\n1 3\n3 3\n1 3\n3 2\n1 3\n2 1\n2 3\n2 3\n2 3\n3 2\n1 3\n1 3\n2 3\n1 3\n2 1\n3 2\n3 3\n1 1\n3 1\n3 3\n1 3\n3 2\n3 2\n2 2\n1 3\n2 2\n3 2\n1 3\n2 2\n2 1\n3 2\n1 3\n3 2\n1 2\n2 2\n1 3\n1 1\n3 3\n2 2\n3 1\n3 2\n",
"4 3\n1 2\n1 1\n4 1\n2 3\n",
"100 2500\n3 1\n3 2\n3 2\n3 1\n1 1\n1 2\n3 3\n1 2\n1 2\n3 1\n3 3\n3 2\n1 3\n2 1\n2 3\n2 2\n1 3\n2 2\n2 2\n2 1\n2 3\n1 3\n1 2\n3 1\n2 3\n2 3\n3 1\n2 3\n2 3\n3 1\n1 1\n3 2\n2 3\n3 3\n3 2\n3 1\n3 2\n3 1\n2 1\n1 3\n2 2\n2 2\n3 2\n1 2\n3 1\n3 2\n3 1\n1 2\n3 1\n3 1\n3 1\n2 3\n1 3\n1 3\n2 2\n1 2\n3 3\n3 2\n3 2\n3 3\n1 3\n2 1\n1 2\n3 2\n1 2\n2 3\n1 2\n2 3\n2 3\n3 2\n3 1\n2 3\n1 2\n1 1\n1 1\n3 1\n2 3\n2 1\n2 3\n3 2\n1 1\n3 3\n1 3\n3 2\n3 2\n2 2\n2 2\n2 2\n1 1\n1 2\n1 2\n3 3\n1 1\n3 2\n1 2\n2 2\n3 3\n2 2\n1 2\n2 3\n",
"100 3000\n3 3\n2 1\n3 3\n4 1\n2 4\n3 1\n3 4\n1 2\n3 4\n4 3\n2 2\n2 3\n4 2\n3 3\n1 3\n4 3\n3 1\n4 3\n3 2\n2 4\n2 2\n3 2\n2 1\n3 4\n1 1\n1 1\n1 2\n1 3\n2 4\n3 4\n2 4\n2 3\n3 1\n4 1\n1 3\n2 2\n3 2\n2 2\n3 3\n2 2\n4 4\n4 3\n1 3\n2 3\n1 3\n1 1\n2 3\n3 3\n4 2\n2 2\n1 1\n1 3\n4 4\n3 3\n4 2\n1 4\n5 4\n2 4\n1 3\n2 3\n1 3\n1 1\n4 4\n3 2\n2 1\n4 4\n2 1\n2 1\n2 3\n3 3\n2 4\n2 1\n4 1\n3 1\n2 3\n1 2\n1 1\n1 1\n2 2\n1 1\n4 1\n4 4\n3 2\n2 2\n1 4\n2 2\n4 3\n2 2\n4 1\n2 1\n4 2\n2 4\n2 1\n3 4\n4 2\n2 4\n3 4\n2 1\n1 1\n1 2\n",
"100 3000\n1 4\n2 1\n3 3\n1 1\n5 4\n4 1\n2 1\n5 4\n1 1\n3 3\n4 3\n3 4\n4 2\n2 4\n1 2\n3 4\n5 3\n1 4\n2 4\n4 2\n1 2\n5 2\n2 2\n3 2\n4 4\n1 4\n5 5\n3 4\n4 1\n3 3\n5 2\n3 3\n4 1\n1 5\n4 3\n5 3\n4 2\n3 3\n3 5\n5 1\n5 1\n3 3\n4 3\n1 3\n4 1\n2 3\n1 3\n1 2\n5 5\n5 2\n1 5\n4 2\n1 1\n1 1\n1 2\n4 4\n5 4\n2 5\n1 3\n5 3\n1 1\n3 5\n1 4\n5 2\n2 3\n1 3\n5 1\n3 4\n10 1\n5 3\n3 2\n2 4\n5 2\n2 5\n5 4\n2 4\n1 1\n2 1\n2 3\n4 4\n1 5\n2 2\n1 3\n3 1\n3 2\n5 2\n5 5\n2 5\n2 3\n3 2\n4 1\n2 3\n5 1\n4 2\n2 4\n2 1\n5 3\n5 4\n1 1\n2 3\n",
"100 3000\n1 1\n3 3\n3 2\n1 1\n3 2\n1 3\n1 3\n1 1\n2 3\n2 3\n3 2\n1 3\n3 3\n1 1\n3 1\n2 3\n3 1\n2 1\n3 2\n3 2\n2 2\n1 2\n3 3\n3 3\n3 3\n3 3\n1 3\n3 2\n2 3\n3 2\n5 1\n1 1\n3 1\n1 3\n1 2\n2 1\n3 2\n2 3\n3 1\n3 2\n3 1\n2 1\n1 3\n1 1\n3 3\n2 2\n3 2\n3 3\n2 2\n2 3\n3 3\n2 3\n2 2\n3 3\n3 3\n1 1\n2 3\n1 1\n3 3\n3 3\n2 2\n1 2\n3 2\n5 3\n3 3\n3 3\n3 1\n1 2\n1 1\n1 1\n2 1\n1 2\n3 2\n2 3\n3 2\n1 1\n2 1\n2 2\n1 1\n1 2\n1 3\n2 2\n2 3\n2 1\n1 2\n3 1\n3 1\n3 3\n2 3\n1 1\n3 3\n2 2\n1 3\n3 1\n2 3\n2 2\n3 2\n1 1\n3 3\n3 2\n",
"100 2000\n2 2\n2 1\n2 2\n1 2\n1 2\n2 2\n1 2\n1 2\n2 2\n2 1\n1 1\n2 2\n2 2\n2 1\n2 2\n2 2\n1 1\n2 2\n1 2\n2 2\n1 1\n2 1\n2 1\n2 1\n1 1\n2 1\n2 1\n1 2\n2 1\n2 1\n1 2\n1 2\n2 2\n1 2\n2 1\n2 2\n2 3\n1 1\n2 2\n2 2\n2 2\n2 1\n2 2\n1 1\n1 2\n1 2\n2 1\n2 1\n1 1\n2 1\n1 1\n2 1\n1 1\n2 2\n2 1\n1 2\n1 1\n1 1\n1 2\n1 2\n2 1\n2 2\n1 2\n2 1\n2 2\n1 2\n2 1\n2 1\n2 2\n1 2\n2 2\n1 1\n2 2\n3 1\n2 2\n1 1\n1 2\n1 1\n1 1\n1 2\n1 1\n2 1\n2 1\n2 2\n2 1\n1 1\n2 1\n1 1\n1 1\n1 1\n1 2\n1 2\n1 1\n2 1\n1 2\n2 1\n2 2\n2 1\n1 1\n2 2\n",
"13 10\n4 4\n1 3\n3 3\n2 2\n3 1\n3 4\n4 1\n1 1\n2 3\n1 3\n3 1\n3 3\n2 1\n",
"5 10\n2 2\n2 3\n1 2\n3 1\n2 3\n",
"10 11\n4 12\n10 2\n2 6\n7 6\n8 1\n2 3\n7 10\n8 2\n6 5\n2 5\n",
"50 2000\n12 1\n11 29\n7 4\n18 27\n25 17\n28 5\n1 17\n10 29\n10 21\n8 7\n23 4\n20 7\n8 24\n2 27\n13 13\n14 15\n19 15\n3 26\n24 13\n8 25\n7 11\n18 11\n19 1\n30 15\n3 24\n27 7\n24 25\n7 7\n14 23\n3 24\n25 10\n10 3\n4 11\n22 29\n27 28\n23 5\n3 6\n16 3\n30 18\n16 22\n24 7\n11 1\n10 23\n2 3\n27 28\n28 25\n20 21\n25 3\n10 3\n7 25\n",
"60 900\n38 15\n10 1\n14 37\n13 1\n40 15\n31 26\n31 4\n12 5\n28 34\n37 7\n28 34\n11 30\n30 16\n27 18\n11 18\n17 6\n38 22\n31 37\n20 38\n21 23\n11 12\n24 35\n36 8\n13 13\n34 39\n20 15\n17 3\n23 17\n18 23\n26 18\n11 2\n18 30\n25 25\n32 67\n9 38\n37 39\n39 37\n5 10\n27 19\n14 21\n34 8\n7 36\n29 3\n11 21\n32 2\n21 40\n10 33\n36 39\n15 31\n38 16\n4 14\n6 16\n31 18\n15 23\n1 38\n32 24\n13 12\n15 15\n24 11\n24 27\n",
"6 6\n2 1\n3 2\n2 5\n3 5\n5 1\n3 1\n",
"100 1500\n3 3\n3 2\n1 3\n3 1\n2 3\n3 2\n3 2\n2 1\n3 1\n2 3\n3 3\n3 1\n1 1\n3 1\n3 3\n2 2\n2 2\n1 2\n1 1\n3 1\n2 2\n2 3\n2 3\n2 2\n3 3\n3 2\n1 1\n3 3\n2 2\n1 3\n3 3\n3 1\n1 2\n3 3\n3 3\n1 2\n1 1\n3 3\n1 3\n2 1\n1 2\n2 1\n1 3\n1 3\n1 3\n1 1\n1 3\n3 1\n2 3\n1 3\n2 2\n2 1\n2 1\n2 3\n3 2\n1 2\n2 2\n1 3\n1 1\n1 3\n3 3\n1 3\n3 2\n1 3\n2 1\n2 3\n2 3\n2 3\n3 2\n1 3\n1 3\n2 3\n1 3\n2 1\n3 2\n3 3\n1 1\n3 1\n3 3\n1 3\n3 2\n3 2\n2 2\n1 3\n2 2\n3 2\n1 3\n2 2\n2 1\n3 2\n1 3\n3 2\n1 2\n2 2\n1 3\n1 1\n3 3\n2 2\n3 1\n3 2\n",
"100 2500\n3 1\n3 2\n3 2\n3 1\n1 1\n1 2\n3 3\n1 2\n1 2\n3 1\n3 3\n3 2\n1 3\n2 1\n2 3\n2 2\n1 3\n2 2\n2 2\n2 1\n2 3\n1 3\n1 2\n3 1\n2 3\n2 3\n3 1\n2 3\n2 3\n3 1\n1 1\n3 2\n2 3\n3 3\n3 2\n3 1\n3 2\n3 1\n2 1\n1 3\n2 2\n2 2\n3 2\n1 2\n3 1\n3 2\n3 1\n1 2\n3 1\n3 1\n3 1\n2 3\n1 3\n1 3\n2 2\n1 2\n3 3\n3 2\n3 2\n3 3\n1 3\n2 1\n1 2\n3 2\n1 2\n2 3\n1 2\n2 3\n1 3\n3 2\n3 1\n2 3\n1 2\n1 1\n1 1\n3 1\n2 3\n2 1\n2 3\n3 2\n1 1\n3 3\n1 3\n3 2\n3 2\n2 2\n2 2\n2 2\n1 1\n1 2\n1 2\n3 3\n1 1\n3 2\n1 2\n2 2\n3 3\n2 2\n1 2\n2 3\n",
"1 1729\n78 92\n",
"30 2800\n25 12\n43 10\n38 39\n14 8\n35 41\n19 11\n23 5\n28 2\n7 36\n9 36\n38 32\n28 29\n18 31\n22 6\n25 40\n43 25\n36 33\n14 24\n13 40\n1 1\n19 44\n37 18\n7 17\n18 14\n44 35\n15 37\n43 23\n34 29\n3 21\n31 47\n",
"10 30\n12 35\n2 8\n19 7\n7 1\n27 14\n13 3\n14 7\n19 26\n21 17\n17 30\n",
"1 4\n0 1\n",
"8 20\n18 18\n14 15\n9 4\n5 9\n2 7\n9 2\n9 19\n2 11\n",
"2 3\n1 4\n2 3\n",
"50 100\n45 74\n41 31\n84 56\n14 8\n25 94\n71 76\n35 8\n66 67\n27 54\n67 91\n71 20\n71 91\n7 58\n13 34\n47 60\n68 32\n74 58\n78 55\n67 40\n22 67\n27 59\n2 2\n89 62\n90 60\n41 57\n66 24\n65 93\n55 8\n94 2\n82 81\n91 67\n63 30\n24 12\n95 49\n48 63\n30 23\n32 86\n10 98\n89 71\n73 35\n85 60\n22 46\n9 50\n79 75\n24 53\n48 17\n22 61\n26 49\n89 58\n77 85\n",
"1 1729\n68 92\n",
"30 2800\n25 12\n43 10\n38 39\n14 8\n35 41\n19 11\n23 5\n28 2\n7 36\n9 36\n38 32\n28 29\n18 31\n22 6\n25 40\n43 25\n36 33\n14 24\n13 40\n1 1\n19 44\n37 18\n7 17\n18 14\n44 35\n15 51\n43 23\n34 29\n3 21\n31 47\n",
"50 30\n9 35\n1 48\n20 43\n41 39\n28 7\n14 10\n3 45\n35 37\n31 27\n11 16\n40 8\n4 7\n15 33\n29 17\n41 45\n11 24\n6 8\n6 2\n2 42\n19 34\n7 36\n14 15\n26 2\n22 33\n15 22\n49 23\n10 41\n6 17\n21 11\n15 37\n49 26\n49 49\n15 29\n12 49\n22 13\n7 49\n25 32\n7 7\n31 37\n23 14\n5 37\n14 6\n44 21\n8 16\n22 7\n43 44\n36 44\n4 49\n22 46\n4 21\n",
"10 50\n9 7\n2 2\n2 18\n10 9\n6 1\n8 10\n10 5\n7 5\n4 5\n8 1\n",
"10 30\n12 35\n2 8\n19 7\n7 1\n27 14\n13 3\n14 12\n19 26\n21 17\n17 30\n",
"4 6\n2 2\n1 2\n3 1\n5 10\n",
"1 4\n0 2\n",
"30 10\n27 10\n39 39\n87 45\n70 82\n20 50\n45 51\n67 31\n43 96\n87 26\n59 20\n42 22\n69 71\n10 30\n39 59\n42 100\n4 67\n21 55\n83 69\n33 81\n37 43\n57 12\n30 83\n34 12\n35 32\n11 12\n51 96\n100 68\n96 20\n50 61\n55 61\n",
"8 20\n18 18\n14 15\n9 4\n5 9\n2 7\n9 4\n9 19\n2 11\n",
"2 3\n1 4\n2 0\n",
"4 3\n2 2\n1 1\n4 1\n2 3\n",
"50 100\n45 74\n41 31\n84 56\n14 8\n25 94\n71 76\n35 8\n66 67\n27 54\n67 91\n71 20\n71 91\n7 58\n13 34\n47 60\n68 32\n74 58\n78 55\n67 40\n22 67\n27 59\n2 2\n89 62\n90 60\n41 57\n66 24\n65 93\n55 8\n94 2\n82 81\n91 67\n51 30\n24 12\n95 49\n48 63\n30 23\n32 86\n10 98\n89 71\n73 35\n85 60\n22 46\n9 50\n79 75\n24 53\n48 17\n22 61\n26 49\n89 58\n77 85\n"
],
"output": [
"1\n",
"2\n",
"20\n",
"548967810\n",
"4\n",
"62\n",
"964762206\n",
"2\n",
"0\n",
"563987225\n",
"822253206\n",
"0\n",
"440706472\n",
"370055910\n",
"0\n",
"216\n",
"12\n",
"2\n",
"42\n",
"9\n",
"1\n",
"0\n",
"1\n",
"936413338\n",
"65610\n",
"94\n",
"842986379\n",
"4551\n",
"50\n",
"10\n",
"379149793\n",
"1\n",
"771010208\n",
"457432849\n",
"0\n",
"510185509\n",
"3\n",
"1\n",
"0\n",
"599013005\n",
"33450069\n",
"168261943\n",
"240581141\n",
"96\n",
"12\n",
"11\n",
"8\n",
"702229178\n",
"42120\n",
"444126391\n",
"4072\n",
"118\n",
"10\n",
"2\n",
"609777220\n",
"522745070\n",
"20\n",
"339606575\n",
"4\n",
"543868255\n",
"868799599\n",
"654961948\n",
"746061043\n",
"107396603\n",
"6413\n",
"66\n",
"9\n",
"960802671\n",
"800064799\n",
"16\n",
"805415018\n",
"738169119\n",
"0\n",
"0\n",
"1\n",
"0\n",
"0\n",
"1\n",
"1\n",
"0\n",
"0\n",
"8\n",
"11\n",
"1\n",
"2\n",
"0\n",
"2\n",
"0\n",
"0\n",
"1\n",
"1\n"
]
} | 2CODEFORCES
|
182_E. Wooden Fence_38234 | Vasya has recently bought some land and decided to surround it with a wooden fence.
He went to a company called "Wooden board" that produces wooden boards for fences. Vasya read in the catalog of products that the company has at its disposal n different types of wood. The company uses the i-th type of wood to produce a board of this type that is a rectangular ai by bi block.
Vasya decided to order boards in this company and build a fence from them. It turned out that the storehouse of the company is so large that Vasya can order arbitrary number of boards of every type. Note that Vasya is allowed to turn the boards as he builds the fence. However, Vasya cannot turn square boards.
Vasya is required to construct a fence of length l, however, an arbitrary fence won't do. Vasya wants his fence to look beautiful. We'll say that a fence is beautiful if and only if the following two conditions are fulfilled:
* there are no two successive boards of the same type
* the first board of the fence has an arbitrary length, and the length of each subsequent board equals the width of the previous one
In other words, the fence is considered beautiful, if the type of the i-th board in the fence is different from the i - 1-th board's type; besides, the i-th board's length is equal to the i - 1-th board's width (for all i, starting from 2).
Now Vasya wonders, how many variants of arranging a fence for his land exist. Your task is to count the number of different beautiful fences of length l.
Two fences will be considered the same if the corresponding sequences of fence boards types and rotations are the same, otherwise the fences are different. Since the sought number can be large enough, you need to calculate the answer modulo 1000000007 (109 + 7).
Input
The first line contains two integers n and l (1 ≤ n ≤ 100, 1 ≤ l ≤ 3000) — the number of different board types and the fence length, correspondingly. Next n lines contain descriptions of board types: the i-th line contains two integers ai and bi (1 ≤ ai, bi ≤ 100) — the sizes of the board of the i-th type. All numbers on the lines are separated by spaces.
Output
Print a single integer — the sought number of variants modulo 1000000007 (109 + 7).
Examples
Input
2 3
1 2
2 3
Output
2
Input
1 2
2 2
Output
1
Input
6 6
2 1
3 2
2 5
3 3
5 1
2 1
Output
20
Note
In the first sample there are exactly two variants of arranging a beautiful fence of length 3:
* As the first fence board use the board of the first type of length 1 and width 2. As the second board use board of the second type of length 2 and width 3.
* Use one board of the second type after you turn it. That makes its length equal 3, and width — 2. | from sys import stdin, stdout
MOD = 10 ** 9 + 7
sze = 101
n, l = map(int, stdin.readline().split())
dp = [[[0, 0] for j in range(l + sze + 1)] for i in range(n)]
bars = []
challengers = [[] for i in range(sze)]
for i in range(n):
a, b = map(int, stdin.readline().split())
bars.append((a, b))
if a != b:
dp[i][a][1] = 1
dp[i][b][0] = 1
else:
dp[i][a][1] = 1
if a == b:
challengers[a].append((a, i))
else:
challengers[a].append((b, i))
challengers[b].append((a, i))
for j in range(l + 1):
for i in range(n):
for z in range(2):
if dp[i][j][z]:
for a, ind in challengers[bars[i][z]]:
if ind != i:
dp[ind][j + bars[i][z]][bars[ind].index(a)] = (dp[ind][j + bars[i][z]][bars[ind].index(a)] + dp[i][j][z]) % MOD
cnt = 0
for i in range(n):
cnt = (cnt + dp[i][l][0] + dp[i][l][1]) % MOD
stdout.write(str(cnt)) | 3Python3
| {
"input": [
"1 2\n2 2\n",
"2 3\n1 2\n2 3\n",
"6 6\n2 1\n3 2\n2 5\n3 3\n5 1\n2 1\n",
"100 1500\n3 3\n3 2\n1 3\n3 1\n2 3\n3 2\n3 2\n2 1\n3 1\n2 3\n3 3\n3 1\n1 1\n3 1\n3 3\n2 2\n2 2\n1 2\n1 1\n3 1\n2 2\n2 3\n2 3\n2 2\n3 3\n3 2\n1 1\n3 3\n2 2\n1 3\n3 3\n3 1\n1 2\n3 3\n3 3\n2 2\n1 1\n3 3\n1 3\n2 1\n1 2\n2 1\n1 3\n1 3\n1 3\n1 1\n1 3\n3 1\n2 3\n1 3\n2 2\n2 1\n2 1\n2 3\n3 2\n1 2\n2 2\n1 3\n1 1\n1 3\n3 3\n1 3\n3 2\n1 3\n2 1\n2 3\n2 3\n2 3\n3 2\n1 2\n1 3\n2 3\n1 3\n2 1\n3 2\n3 3\n1 1\n3 1\n3 3\n1 3\n3 2\n3 2\n2 2\n1 3\n2 2\n3 2\n1 3\n2 2\n2 1\n3 2\n1 3\n3 2\n1 2\n2 2\n1 3\n1 1\n3 3\n2 2\n3 1\n3 3\n",
"4 3\n1 2\n1 1\n3 1\n2 2\n",
"5 8\n3 1\n2 1\n2 3\n2 1\n3 1\n",
"40 700\n11 14\n4 14\n14 13\n12 9\n14 10\n3 9\n7 7\n5 15\n1 11\n5 7\n2 9\n7 5\n3 10\n5 14\n4 11\n13 6\n4 6\n3 9\n1 11\n8 13\n6 4\n12 10\n10 14\n8 2\n1 15\n13 13\n6 11\n7 2\n7 12\n8 7\n1 13\n13 7\n12 10\n1 7\n7 1\n4 4\n10 7\n1 4\n13 8\n13 10\n",
"50 100\n45 74\n41 31\n84 56\n14 8\n25 94\n71 76\n35 8\n66 67\n27 54\n67 91\n71 20\n71 91\n7 58\n13 34\n47 60\n68 32\n74 58\n78 55\n67 40\n22 67\n27 59\n2 2\n89 62\n90 60\n41 57\n66 24\n65 93\n55 8\n94 2\n82 81\n91 67\n63 68\n24 12\n95 49\n48 63\n30 23\n32 86\n10 98\n89 71\n73 35\n85 60\n22 46\n9 50\n79 75\n24 53\n48 17\n22 61\n26 49\n89 58\n77 56\n",
"1 3\n1 1\n",
"100 2500\n3 1\n3 2\n3 2\n3 1\n1 1\n1 2\n3 3\n1 2\n1 2\n3 1\n3 3\n3 2\n1 3\n2 1\n2 3\n2 2\n1 3\n2 2\n2 2\n1 1\n2 3\n1 3\n1 2\n3 1\n2 3\n2 3\n3 1\n2 3\n2 3\n3 1\n1 1\n3 2\n2 3\n3 3\n3 2\n3 1\n3 2\n3 1\n2 1\n1 3\n2 2\n2 2\n3 2\n1 2\n3 1\n3 2\n3 1\n1 2\n3 1\n3 1\n3 1\n2 3\n1 3\n1 3\n2 2\n1 2\n3 3\n3 2\n3 2\n3 3\n3 3\n2 1\n1 2\n3 2\n1 2\n2 3\n1 2\n2 3\n2 3\n3 2\n3 1\n2 3\n1 2\n1 1\n1 1\n3 1\n2 3\n2 1\n2 3\n3 2\n1 1\n3 3\n1 3\n3 2\n3 2\n2 2\n2 2\n2 2\n1 1\n1 2\n1 2\n3 3\n1 1\n3 2\n1 2\n2 2\n3 3\n2 2\n1 2\n2 3\n",
"100 3000\n3 3\n2 1\n3 3\n4 1\n2 4\n3 1\n3 4\n1 2\n3 4\n4 3\n2 2\n2 3\n4 2\n3 3\n1 3\n4 3\n3 1\n4 3\n2 2\n2 4\n2 2\n3 2\n2 1\n3 4\n1 1\n1 1\n1 2\n1 3\n2 4\n3 4\n2 4\n2 3\n3 1\n4 1\n1 3\n2 2\n3 2\n2 2\n3 3\n2 2\n4 4\n4 3\n1 3\n2 3\n1 3\n1 1\n2 3\n3 3\n4 2\n2 2\n1 1\n1 3\n4 4\n3 3\n4 2\n1 4\n4 4\n2 4\n1 3\n2 3\n1 3\n1 1\n4 4\n3 2\n2 1\n4 4\n2 1\n2 1\n2 3\n3 3\n2 4\n2 1\n4 1\n3 1\n2 3\n1 2\n1 1\n1 1\n2 2\n1 1\n4 1\n4 4\n3 2\n2 2\n1 4\n2 2\n4 3\n2 2\n4 1\n2 1\n4 2\n2 4\n2 1\n3 4\n4 2\n2 4\n3 4\n2 1\n1 1\n1 2\n",
"1 3000\n78 92\n",
"100 3000\n1 4\n2 1\n3 3\n1 1\n5 4\n4 1\n2 1\n5 4\n1 1\n3 3\n4 3\n3 4\n4 2\n2 4\n1 2\n3 4\n5 3\n1 4\n2 4\n4 5\n1 2\n5 2\n2 2\n3 2\n4 4\n1 4\n5 5\n3 4\n4 1\n3 3\n5 2\n3 3\n4 1\n1 5\n4 3\n5 3\n4 2\n3 3\n3 5\n5 1\n5 1\n3 3\n4 3\n1 3\n4 1\n2 3\n1 3\n1 2\n5 5\n5 2\n1 5\n4 2\n1 1\n1 1\n1 2\n4 4\n5 4\n2 5\n1 3\n5 3\n1 1\n3 5\n1 4\n5 2\n2 3\n1 3\n5 1\n3 4\n5 1\n5 3\n3 2\n2 4\n5 2\n2 5\n5 4\n2 4\n1 1\n2 1\n2 3\n4 4\n1 5\n2 2\n1 3\n3 1\n3 2\n5 2\n5 5\n2 5\n2 3\n3 2\n4 1\n2 3\n5 1\n4 2\n2 4\n2 1\n5 3\n5 4\n1 1\n2 3\n",
"100 2000\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n",
"30 2800\n25 12\n43 10\n38 39\n14 8\n35 41\n19 11\n23 5\n28 2\n7 36\n9 36\n38 32\n28 29\n18 31\n22 6\n25 34\n43 25\n36 33\n14 24\n13 40\n1 1\n19 44\n37 18\n7 17\n18 14\n44 35\n15 37\n43 23\n34 29\n3 21\n31 47\n",
"4 6\n2 1\n1 2\n2 1\n2 1\n",
"50 30\n9 35\n1 48\n17 43\n41 39\n28 7\n14 10\n3 45\n35 37\n31 27\n11 16\n40 8\n4 7\n15 33\n29 17\n41 45\n11 24\n6 8\n6 2\n2 42\n19 34\n7 36\n14 15\n26 2\n22 33\n15 22\n49 23\n10 41\n6 17\n21 11\n15 37\n49 26\n49 49\n15 29\n12 49\n22 13\n7 49\n25 32\n7 7\n31 37\n23 14\n5 37\n14 6\n44 21\n8 16\n22 7\n43 44\n36 44\n4 26\n22 46\n4 21\n",
"4 10\n4 5\n5 3\n1 4\n1 2\n",
"10 50\n9 7\n2 2\n7 9\n10 9\n6 1\n8 10\n10 5\n7 5\n4 5\n8 1\n",
"7 4\n1 2\n2 2\n3 3\n3 3\n1 1\n3 3\n3 1\n",
"10 30\n12 21\n2 8\n19 7\n7 1\n27 14\n13 3\n14 7\n19 26\n21 17\n17 30\n",
"4 6\n1 1\n1 2\n3 1\n5 10\n",
"1 4\n4 1\n",
"100 3000\n1 1\n3 3\n3 2\n1 1\n3 2\n1 3\n1 3\n1 1\n2 3\n2 3\n3 2\n1 3\n3 3\n1 1\n3 1\n2 3\n3 1\n2 1\n3 2\n3 2\n2 2\n1 2\n3 3\n3 3\n3 3\n3 3\n1 3\n3 2\n2 3\n3 2\n3 1\n1 1\n3 1\n1 3\n1 2\n2 1\n3 2\n2 3\n3 1\n3 2\n3 1\n2 1\n1 3\n1 1\n3 3\n2 2\n3 2\n3 3\n2 2\n2 3\n3 3\n2 3\n2 2\n3 3\n3 3\n1 1\n2 3\n1 1\n3 3\n3 3\n2 2\n1 2\n3 2\n3 3\n3 3\n3 3\n3 1\n1 2\n1 1\n1 1\n2 1\n1 2\n3 2\n2 3\n3 2\n1 1\n2 1\n2 2\n1 1\n1 2\n1 3\n2 2\n2 3\n2 1\n1 2\n3 1\n3 1\n3 3\n2 3\n1 1\n3 3\n2 2\n1 3\n3 1\n2 3\n2 2\n3 2\n1 1\n3 3\n3 2\n",
"10 5\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n",
"6 7\n3 1\n2 1\n1 2\n4 5\n2 5\n2 1\n",
"100 2000\n2 2\n2 1\n2 2\n1 2\n1 2\n2 2\n1 2\n1 2\n2 2\n2 1\n1 1\n2 2\n2 2\n2 1\n2 2\n2 2\n1 1\n2 2\n1 2\n2 2\n1 1\n2 1\n2 1\n2 1\n1 1\n2 1\n2 1\n1 2\n2 1\n2 1\n1 2\n1 2\n2 2\n1 2\n2 1\n2 2\n2 2\n1 1\n2 2\n2 2\n2 2\n2 1\n2 2\n1 1\n1 2\n1 2\n2 1\n2 1\n1 1\n2 1\n1 1\n2 1\n1 1\n2 2\n2 1\n1 2\n1 1\n1 1\n1 2\n1 2\n2 1\n2 2\n1 2\n2 1\n2 2\n1 2\n2 1\n2 1\n2 2\n1 2\n2 2\n1 1\n2 2\n2 1\n2 2\n1 1\n1 2\n1 1\n1 1\n1 2\n1 1\n2 1\n2 1\n2 2\n2 1\n1 1\n2 1\n1 1\n1 1\n1 1\n1 2\n1 2\n1 1\n2 1\n1 2\n2 1\n2 2\n2 1\n1 1\n2 2\n",
"13 10\n4 2\n1 3\n3 3\n2 2\n3 1\n3 4\n4 1\n1 3\n2 3\n1 3\n3 1\n3 3\n2 1\n",
"5 10\n1 2\n2 3\n1 2\n3 1\n2 4\n",
"10 11\n3 10\n10 2\n2 6\n7 6\n8 1\n2 3\n7 10\n8 2\n6 5\n2 5\n",
"20 20\n2 1\n1 1\n2 3\n2 1\n2 1\n3 3\n2 3\n1 2\n1 1\n1 1\n2 3\n2 3\n1 3\n2 2\n2 1\n3 2\n2 1\n1 1\n1 3\n3 3\n",
"30 80\n27 10\n39 39\n87 45\n70 82\n20 50\n45 51\n67 31\n43 96\n87 26\n59 20\n42 22\n69 71\n10 30\n39 59\n42 100\n4 67\n21 55\n83 69\n33 81\n37 43\n57 12\n30 83\n34 12\n35 32\n11 12\n51 96\n100 68\n96 20\n50 61\n46 61\n",
"50 2000\n12 1\n11 29\n7 4\n18 27\n25 17\n28 5\n1 17\n10 29\n10 21\n8 7\n23 4\n20 7\n8 24\n2 27\n13 13\n14 15\n19 15\n7 26\n24 13\n8 25\n7 11\n18 11\n19 1\n30 15\n3 24\n27 7\n24 25\n7 7\n14 23\n3 24\n25 10\n25 3\n4 11\n22 29\n27 28\n23 5\n3 6\n16 3\n30 18\n16 22\n24 7\n11 1\n10 23\n2 3\n27 28\n28 25\n20 21\n25 3\n10 3\n7 25\n",
"60 900\n38 15\n10 1\n14 37\n13 1\n40 15\n31 26\n31 4\n12 5\n28 34\n37 7\n28 34\n11 30\n30 16\n27 18\n11 18\n17 6\n38 22\n31 37\n20 38\n21 23\n11 12\n24 35\n36 8\n13 13\n34 39\n20 15\n17 3\n23 17\n18 23\n26 18\n11 2\n18 30\n25 25\n32 40\n9 38\n37 39\n39 37\n5 10\n15 19\n14 21\n34 8\n7 36\n29 3\n11 21\n32 2\n21 40\n10 33\n36 39\n15 31\n38 16\n4 14\n6 16\n31 18\n15 23\n1 38\n32 24\n13 12\n15 15\n24 11\n24 27\n",
"8 20\n18 18\n14 15\n8 4\n5 9\n2 7\n9 2\n9 19\n2 11\n",
"100 1500\n3 3\n3 2\n1 3\n3 1\n2 3\n3 2\n3 2\n2 1\n3 1\n2 3\n3 3\n3 1\n1 1\n3 1\n3 3\n2 2\n2 2\n1 2\n1 1\n3 1\n2 2\n2 3\n2 3\n2 2\n3 3\n3 2\n1 1\n3 3\n2 2\n1 3\n3 3\n3 1\n1 2\n3 3\n3 3\n2 2\n1 1\n3 3\n1 3\n2 1\n1 2\n2 1\n1 3\n1 3\n1 3\n1 1\n1 3\n3 1\n2 3\n1 3\n2 2\n2 1\n2 1\n2 3\n3 2\n1 2\n2 2\n1 3\n1 1\n1 3\n3 3\n1 3\n3 2\n1 3\n2 1\n2 3\n2 3\n2 3\n3 2\n1 3\n1 3\n2 3\n1 3\n2 1\n3 2\n3 3\n1 1\n3 1\n3 3\n1 3\n3 2\n3 2\n2 2\n1 3\n2 2\n3 2\n1 3\n2 2\n2 1\n3 2\n1 3\n3 2\n1 2\n2 2\n1 3\n1 1\n3 3\n2 2\n3 1\n3 3\n",
"4 3\n1 2\n1 1\n4 1\n2 2\n",
"50 100\n45 74\n41 31\n84 56\n14 8\n25 94\n71 76\n35 8\n66 67\n27 54\n67 91\n71 20\n71 91\n7 58\n13 34\n47 60\n68 32\n74 58\n78 55\n67 40\n22 67\n27 59\n2 2\n89 62\n90 60\n41 57\n66 24\n65 93\n55 8\n94 2\n82 81\n91 67\n63 30\n24 12\n95 49\n48 63\n30 23\n32 86\n10 98\n89 71\n73 35\n85 60\n22 46\n9 50\n79 75\n24 53\n48 17\n22 61\n26 49\n89 58\n77 56\n",
"1 3\n2 1\n",
"100 2500\n3 1\n3 2\n3 2\n3 1\n1 1\n1 2\n3 3\n1 2\n1 2\n3 1\n3 3\n3 2\n1 3\n2 1\n2 3\n2 2\n1 3\n2 2\n2 2\n1 1\n2 3\n1 3\n1 2\n3 1\n2 3\n2 3\n3 1\n2 3\n2 3\n3 1\n1 1\n3 2\n2 3\n3 3\n3 2\n3 1\n3 2\n3 1\n2 1\n1 3\n2 2\n2 2\n3 2\n1 2\n3 1\n3 2\n3 1\n1 2\n3 1\n3 1\n3 1\n2 3\n1 3\n1 3\n2 2\n1 2\n3 3\n3 2\n3 2\n3 3\n1 3\n2 1\n1 2\n3 2\n1 2\n2 3\n1 2\n2 3\n2 3\n3 2\n3 1\n2 3\n1 2\n1 1\n1 1\n3 1\n2 3\n2 1\n2 3\n3 2\n1 1\n3 3\n1 3\n3 2\n3 2\n2 2\n2 2\n2 2\n1 1\n1 2\n1 2\n3 3\n1 1\n3 2\n1 2\n2 2\n3 3\n2 2\n1 2\n2 3\n",
"100 3000\n3 3\n2 1\n3 3\n4 1\n2 4\n3 1\n3 4\n1 2\n3 4\n4 3\n2 2\n2 3\n4 2\n3 3\n1 3\n4 3\n3 1\n4 3\n2 2\n2 4\n2 2\n3 2\n2 1\n3 4\n1 1\n1 1\n1 2\n1 3\n2 4\n3 4\n2 4\n2 3\n3 1\n4 1\n1 3\n2 2\n3 2\n2 2\n3 3\n2 2\n4 4\n4 3\n1 3\n2 3\n1 3\n1 1\n2 3\n3 3\n4 2\n2 2\n1 1\n1 3\n4 4\n3 3\n4 2\n1 4\n5 4\n2 4\n1 3\n2 3\n1 3\n1 1\n4 4\n3 2\n2 1\n4 4\n2 1\n2 1\n2 3\n3 3\n2 4\n2 1\n4 1\n3 1\n2 3\n1 2\n1 1\n1 1\n2 2\n1 1\n4 1\n4 4\n3 2\n2 2\n1 4\n2 2\n4 3\n2 2\n4 1\n2 1\n4 2\n2 4\n2 1\n3 4\n4 2\n2 4\n3 4\n2 1\n1 1\n1 2\n",
"100 3000\n1 4\n2 1\n3 3\n1 1\n5 4\n4 1\n2 1\n5 4\n1 1\n3 3\n4 3\n3 4\n4 2\n2 4\n1 2\n3 4\n5 3\n1 4\n2 4\n4 5\n1 2\n5 2\n2 2\n3 2\n4 4\n1 4\n5 5\n3 4\n4 1\n3 3\n5 2\n3 3\n4 1\n1 5\n4 3\n5 3\n4 2\n3 3\n3 5\n5 1\n5 1\n3 3\n4 3\n1 3\n4 1\n2 3\n1 3\n1 2\n5 5\n5 2\n1 5\n4 2\n1 1\n1 1\n1 2\n4 4\n5 4\n2 5\n1 3\n5 3\n1 1\n3 5\n1 4\n5 2\n2 3\n1 3\n5 1\n3 4\n10 1\n5 3\n3 2\n2 4\n5 2\n2 5\n5 4\n2 4\n1 1\n2 1\n2 3\n4 4\n1 5\n2 2\n1 3\n3 1\n3 2\n5 2\n5 5\n2 5\n2 3\n3 2\n4 1\n2 3\n5 1\n4 2\n2 4\n2 1\n5 3\n5 4\n1 1\n2 3\n",
"100 2000\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n2 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n",
"4 6\n1 1\n1 2\n2 1\n2 1\n",
"50 30\n9 35\n1 48\n20 43\n41 39\n28 7\n14 10\n3 45\n35 37\n31 27\n11 16\n40 8\n4 7\n15 33\n29 17\n41 45\n11 24\n6 8\n6 2\n2 42\n19 34\n7 36\n14 15\n26 2\n22 33\n15 22\n49 23\n10 41\n6 17\n21 11\n15 37\n49 26\n49 49\n15 29\n12 49\n22 13\n7 49\n25 32\n7 7\n31 37\n23 14\n5 37\n14 6\n44 21\n8 16\n22 7\n43 44\n36 44\n4 26\n22 46\n4 21\n",
"10 50\n9 7\n2 2\n7 18\n10 9\n6 1\n8 10\n10 5\n7 5\n4 5\n8 1\n",
"4 6\n2 1\n1 2\n3 1\n5 10\n",
"100 3000\n1 1\n3 3\n3 2\n1 1\n3 2\n1 3\n1 3\n1 1\n2 3\n2 3\n3 2\n1 3\n3 3\n1 1\n3 1\n2 3\n3 1\n2 1\n3 2\n3 2\n2 2\n1 2\n3 3\n3 3\n3 3\n3 3\n1 3\n3 2\n2 3\n3 2\n5 1\n1 1\n3 1\n1 3\n1 2\n2 1\n3 2\n2 3\n3 1\n3 2\n3 1\n2 1\n1 3\n1 1\n3 3\n2 2\n3 2\n3 3\n2 2\n2 3\n3 3\n2 3\n2 2\n3 3\n3 3\n1 1\n2 3\n1 1\n3 3\n3 3\n2 2\n1 2\n3 2\n3 3\n3 3\n3 3\n3 1\n1 2\n1 1\n1 1\n2 1\n1 2\n3 2\n2 3\n3 2\n1 1\n2 1\n2 2\n1 1\n1 2\n1 3\n2 2\n2 3\n2 1\n1 2\n3 1\n3 1\n3 3\n2 3\n1 1\n3 3\n2 2\n1 3\n3 1\n2 3\n2 2\n3 2\n1 1\n3 3\n3 2\n",
"10 5\n2 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n",
"100 2000\n2 2\n2 1\n2 2\n1 2\n1 2\n2 2\n1 2\n1 2\n2 2\n2 1\n1 1\n2 2\n2 2\n2 1\n2 2\n2 2\n1 1\n2 2\n1 2\n2 2\n1 1\n2 1\n2 1\n2 1\n1 1\n2 1\n2 1\n1 2\n2 1\n2 1\n1 2\n1 2\n2 2\n1 2\n2 1\n2 2\n2 2\n1 1\n2 2\n2 2\n2 2\n2 1\n2 2\n1 1\n1 2\n1 2\n2 1\n2 1\n1 1\n2 1\n1 1\n2 1\n1 1\n2 2\n2 1\n1 2\n1 1\n1 1\n1 2\n1 2\n2 1\n2 2\n1 2\n2 1\n2 2\n1 2\n2 1\n2 1\n2 2\n1 2\n2 2\n1 1\n2 2\n3 1\n2 2\n1 1\n1 2\n1 1\n1 1\n1 2\n1 1\n2 1\n2 1\n2 2\n2 1\n1 1\n2 1\n1 1\n1 1\n1 1\n1 2\n1 2\n1 1\n2 1\n1 2\n2 1\n2 2\n2 1\n1 1\n2 2\n",
"13 10\n4 4\n1 3\n3 3\n2 2\n3 1\n3 4\n4 1\n1 3\n2 3\n1 3\n3 1\n3 3\n2 1\n",
"5 10\n1 2\n2 3\n1 2\n3 1\n2 3\n",
"10 11\n3 12\n10 2\n2 6\n7 6\n8 1\n2 3\n7 10\n8 2\n6 5\n2 5\n",
"30 10\n27 10\n39 39\n87 45\n70 82\n20 50\n45 51\n67 31\n43 96\n87 26\n59 20\n42 22\n69 71\n10 30\n39 59\n42 100\n4 67\n21 55\n83 69\n33 81\n37 43\n57 12\n30 83\n34 12\n35 32\n11 12\n51 96\n100 68\n96 20\n50 61\n46 61\n",
"50 2000\n12 1\n11 29\n7 4\n18 27\n25 17\n28 5\n1 17\n10 29\n10 21\n8 7\n23 4\n20 7\n8 24\n2 27\n13 13\n14 15\n19 15\n7 26\n24 13\n8 25\n7 11\n18 11\n19 1\n30 15\n3 24\n27 7\n24 25\n7 7\n14 23\n3 24\n25 10\n10 3\n4 11\n22 29\n27 28\n23 5\n3 6\n16 3\n30 18\n16 22\n24 7\n11 1\n10 23\n2 3\n27 28\n28 25\n20 21\n25 3\n10 3\n7 25\n",
"60 900\n38 15\n10 1\n14 37\n13 1\n40 15\n31 26\n31 4\n12 5\n28 34\n37 7\n28 34\n11 30\n30 16\n27 18\n11 18\n17 6\n38 22\n31 37\n20 38\n21 23\n11 12\n24 35\n36 8\n13 13\n34 39\n20 15\n17 3\n23 17\n18 23\n26 18\n11 2\n18 30\n25 25\n32 40\n9 38\n37 39\n39 37\n5 10\n27 19\n14 21\n34 8\n7 36\n29 3\n11 21\n32 2\n21 40\n10 33\n36 39\n15 31\n38 16\n4 14\n6 16\n31 18\n15 23\n1 38\n32 24\n13 12\n15 15\n24 11\n24 27\n",
"6 6\n2 1\n3 2\n2 5\n3 5\n5 1\n2 1\n",
"100 1500\n3 3\n3 2\n1 3\n3 1\n2 3\n3 2\n3 2\n2 1\n3 1\n2 3\n3 3\n3 1\n1 1\n3 1\n3 3\n2 2\n2 2\n1 2\n1 1\n3 1\n2 2\n2 3\n2 3\n2 2\n3 3\n3 2\n1 1\n3 3\n2 2\n1 3\n3 3\n3 1\n1 2\n3 3\n3 3\n2 2\n1 1\n3 3\n1 3\n2 1\n1 2\n2 1\n1 3\n1 3\n1 3\n1 1\n1 3\n3 1\n2 3\n1 3\n2 2\n2 1\n2 1\n2 3\n3 2\n1 2\n2 2\n1 3\n1 1\n1 3\n3 3\n1 3\n3 2\n1 3\n2 1\n2 3\n2 3\n2 3\n3 2\n1 3\n1 3\n2 3\n1 3\n2 1\n3 2\n3 3\n1 1\n3 1\n3 3\n1 3\n3 2\n3 2\n2 2\n1 3\n2 2\n3 2\n1 3\n2 2\n2 1\n3 2\n1 3\n3 2\n1 2\n2 2\n1 3\n1 1\n3 3\n2 2\n3 1\n3 2\n",
"4 3\n1 2\n1 1\n4 1\n2 3\n",
"100 2500\n3 1\n3 2\n3 2\n3 1\n1 1\n1 2\n3 3\n1 2\n1 2\n3 1\n3 3\n3 2\n1 3\n2 1\n2 3\n2 2\n1 3\n2 2\n2 2\n2 1\n2 3\n1 3\n1 2\n3 1\n2 3\n2 3\n3 1\n2 3\n2 3\n3 1\n1 1\n3 2\n2 3\n3 3\n3 2\n3 1\n3 2\n3 1\n2 1\n1 3\n2 2\n2 2\n3 2\n1 2\n3 1\n3 2\n3 1\n1 2\n3 1\n3 1\n3 1\n2 3\n1 3\n1 3\n2 2\n1 2\n3 3\n3 2\n3 2\n3 3\n1 3\n2 1\n1 2\n3 2\n1 2\n2 3\n1 2\n2 3\n2 3\n3 2\n3 1\n2 3\n1 2\n1 1\n1 1\n3 1\n2 3\n2 1\n2 3\n3 2\n1 1\n3 3\n1 3\n3 2\n3 2\n2 2\n2 2\n2 2\n1 1\n1 2\n1 2\n3 3\n1 1\n3 2\n1 2\n2 2\n3 3\n2 2\n1 2\n2 3\n",
"100 3000\n3 3\n2 1\n3 3\n4 1\n2 4\n3 1\n3 4\n1 2\n3 4\n4 3\n2 2\n2 3\n4 2\n3 3\n1 3\n4 3\n3 1\n4 3\n3 2\n2 4\n2 2\n3 2\n2 1\n3 4\n1 1\n1 1\n1 2\n1 3\n2 4\n3 4\n2 4\n2 3\n3 1\n4 1\n1 3\n2 2\n3 2\n2 2\n3 3\n2 2\n4 4\n4 3\n1 3\n2 3\n1 3\n1 1\n2 3\n3 3\n4 2\n2 2\n1 1\n1 3\n4 4\n3 3\n4 2\n1 4\n5 4\n2 4\n1 3\n2 3\n1 3\n1 1\n4 4\n3 2\n2 1\n4 4\n2 1\n2 1\n2 3\n3 3\n2 4\n2 1\n4 1\n3 1\n2 3\n1 2\n1 1\n1 1\n2 2\n1 1\n4 1\n4 4\n3 2\n2 2\n1 4\n2 2\n4 3\n2 2\n4 1\n2 1\n4 2\n2 4\n2 1\n3 4\n4 2\n2 4\n3 4\n2 1\n1 1\n1 2\n",
"100 3000\n1 4\n2 1\n3 3\n1 1\n5 4\n4 1\n2 1\n5 4\n1 1\n3 3\n4 3\n3 4\n4 2\n2 4\n1 2\n3 4\n5 3\n1 4\n2 4\n4 2\n1 2\n5 2\n2 2\n3 2\n4 4\n1 4\n5 5\n3 4\n4 1\n3 3\n5 2\n3 3\n4 1\n1 5\n4 3\n5 3\n4 2\n3 3\n3 5\n5 1\n5 1\n3 3\n4 3\n1 3\n4 1\n2 3\n1 3\n1 2\n5 5\n5 2\n1 5\n4 2\n1 1\n1 1\n1 2\n4 4\n5 4\n2 5\n1 3\n5 3\n1 1\n3 5\n1 4\n5 2\n2 3\n1 3\n5 1\n3 4\n10 1\n5 3\n3 2\n2 4\n5 2\n2 5\n5 4\n2 4\n1 1\n2 1\n2 3\n4 4\n1 5\n2 2\n1 3\n3 1\n3 2\n5 2\n5 5\n2 5\n2 3\n3 2\n4 1\n2 3\n5 1\n4 2\n2 4\n2 1\n5 3\n5 4\n1 1\n2 3\n",
"100 3000\n1 1\n3 3\n3 2\n1 1\n3 2\n1 3\n1 3\n1 1\n2 3\n2 3\n3 2\n1 3\n3 3\n1 1\n3 1\n2 3\n3 1\n2 1\n3 2\n3 2\n2 2\n1 2\n3 3\n3 3\n3 3\n3 3\n1 3\n3 2\n2 3\n3 2\n5 1\n1 1\n3 1\n1 3\n1 2\n2 1\n3 2\n2 3\n3 1\n3 2\n3 1\n2 1\n1 3\n1 1\n3 3\n2 2\n3 2\n3 3\n2 2\n2 3\n3 3\n2 3\n2 2\n3 3\n3 3\n1 1\n2 3\n1 1\n3 3\n3 3\n2 2\n1 2\n3 2\n5 3\n3 3\n3 3\n3 1\n1 2\n1 1\n1 1\n2 1\n1 2\n3 2\n2 3\n3 2\n1 1\n2 1\n2 2\n1 1\n1 2\n1 3\n2 2\n2 3\n2 1\n1 2\n3 1\n3 1\n3 3\n2 3\n1 1\n3 3\n2 2\n1 3\n3 1\n2 3\n2 2\n3 2\n1 1\n3 3\n3 2\n",
"100 2000\n2 2\n2 1\n2 2\n1 2\n1 2\n2 2\n1 2\n1 2\n2 2\n2 1\n1 1\n2 2\n2 2\n2 1\n2 2\n2 2\n1 1\n2 2\n1 2\n2 2\n1 1\n2 1\n2 1\n2 1\n1 1\n2 1\n2 1\n1 2\n2 1\n2 1\n1 2\n1 2\n2 2\n1 2\n2 1\n2 2\n2 3\n1 1\n2 2\n2 2\n2 2\n2 1\n2 2\n1 1\n1 2\n1 2\n2 1\n2 1\n1 1\n2 1\n1 1\n2 1\n1 1\n2 2\n2 1\n1 2\n1 1\n1 1\n1 2\n1 2\n2 1\n2 2\n1 2\n2 1\n2 2\n1 2\n2 1\n2 1\n2 2\n1 2\n2 2\n1 1\n2 2\n3 1\n2 2\n1 1\n1 2\n1 1\n1 1\n1 2\n1 1\n2 1\n2 1\n2 2\n2 1\n1 1\n2 1\n1 1\n1 1\n1 1\n1 2\n1 2\n1 1\n2 1\n1 2\n2 1\n2 2\n2 1\n1 1\n2 2\n",
"13 10\n4 4\n1 3\n3 3\n2 2\n3 1\n3 4\n4 1\n1 1\n2 3\n1 3\n3 1\n3 3\n2 1\n",
"5 10\n2 2\n2 3\n1 2\n3 1\n2 3\n",
"10 11\n4 12\n10 2\n2 6\n7 6\n8 1\n2 3\n7 10\n8 2\n6 5\n2 5\n",
"50 2000\n12 1\n11 29\n7 4\n18 27\n25 17\n28 5\n1 17\n10 29\n10 21\n8 7\n23 4\n20 7\n8 24\n2 27\n13 13\n14 15\n19 15\n3 26\n24 13\n8 25\n7 11\n18 11\n19 1\n30 15\n3 24\n27 7\n24 25\n7 7\n14 23\n3 24\n25 10\n10 3\n4 11\n22 29\n27 28\n23 5\n3 6\n16 3\n30 18\n16 22\n24 7\n11 1\n10 23\n2 3\n27 28\n28 25\n20 21\n25 3\n10 3\n7 25\n",
"60 900\n38 15\n10 1\n14 37\n13 1\n40 15\n31 26\n31 4\n12 5\n28 34\n37 7\n28 34\n11 30\n30 16\n27 18\n11 18\n17 6\n38 22\n31 37\n20 38\n21 23\n11 12\n24 35\n36 8\n13 13\n34 39\n20 15\n17 3\n23 17\n18 23\n26 18\n11 2\n18 30\n25 25\n32 67\n9 38\n37 39\n39 37\n5 10\n27 19\n14 21\n34 8\n7 36\n29 3\n11 21\n32 2\n21 40\n10 33\n36 39\n15 31\n38 16\n4 14\n6 16\n31 18\n15 23\n1 38\n32 24\n13 12\n15 15\n24 11\n24 27\n",
"6 6\n2 1\n3 2\n2 5\n3 5\n5 1\n3 1\n",
"100 1500\n3 3\n3 2\n1 3\n3 1\n2 3\n3 2\n3 2\n2 1\n3 1\n2 3\n3 3\n3 1\n1 1\n3 1\n3 3\n2 2\n2 2\n1 2\n1 1\n3 1\n2 2\n2 3\n2 3\n2 2\n3 3\n3 2\n1 1\n3 3\n2 2\n1 3\n3 3\n3 1\n1 2\n3 3\n3 3\n1 2\n1 1\n3 3\n1 3\n2 1\n1 2\n2 1\n1 3\n1 3\n1 3\n1 1\n1 3\n3 1\n2 3\n1 3\n2 2\n2 1\n2 1\n2 3\n3 2\n1 2\n2 2\n1 3\n1 1\n1 3\n3 3\n1 3\n3 2\n1 3\n2 1\n2 3\n2 3\n2 3\n3 2\n1 3\n1 3\n2 3\n1 3\n2 1\n3 2\n3 3\n1 1\n3 1\n3 3\n1 3\n3 2\n3 2\n2 2\n1 3\n2 2\n3 2\n1 3\n2 2\n2 1\n3 2\n1 3\n3 2\n1 2\n2 2\n1 3\n1 1\n3 3\n2 2\n3 1\n3 2\n",
"100 2500\n3 1\n3 2\n3 2\n3 1\n1 1\n1 2\n3 3\n1 2\n1 2\n3 1\n3 3\n3 2\n1 3\n2 1\n2 3\n2 2\n1 3\n2 2\n2 2\n2 1\n2 3\n1 3\n1 2\n3 1\n2 3\n2 3\n3 1\n2 3\n2 3\n3 1\n1 1\n3 2\n2 3\n3 3\n3 2\n3 1\n3 2\n3 1\n2 1\n1 3\n2 2\n2 2\n3 2\n1 2\n3 1\n3 2\n3 1\n1 2\n3 1\n3 1\n3 1\n2 3\n1 3\n1 3\n2 2\n1 2\n3 3\n3 2\n3 2\n3 3\n1 3\n2 1\n1 2\n3 2\n1 2\n2 3\n1 2\n2 3\n1 3\n3 2\n3 1\n2 3\n1 2\n1 1\n1 1\n3 1\n2 3\n2 1\n2 3\n3 2\n1 1\n3 3\n1 3\n3 2\n3 2\n2 2\n2 2\n2 2\n1 1\n1 2\n1 2\n3 3\n1 1\n3 2\n1 2\n2 2\n3 3\n2 2\n1 2\n2 3\n",
"1 1729\n78 92\n",
"30 2800\n25 12\n43 10\n38 39\n14 8\n35 41\n19 11\n23 5\n28 2\n7 36\n9 36\n38 32\n28 29\n18 31\n22 6\n25 40\n43 25\n36 33\n14 24\n13 40\n1 1\n19 44\n37 18\n7 17\n18 14\n44 35\n15 37\n43 23\n34 29\n3 21\n31 47\n",
"10 30\n12 35\n2 8\n19 7\n7 1\n27 14\n13 3\n14 7\n19 26\n21 17\n17 30\n",
"1 4\n0 1\n",
"8 20\n18 18\n14 15\n9 4\n5 9\n2 7\n9 2\n9 19\n2 11\n",
"2 3\n1 4\n2 3\n",
"50 100\n45 74\n41 31\n84 56\n14 8\n25 94\n71 76\n35 8\n66 67\n27 54\n67 91\n71 20\n71 91\n7 58\n13 34\n47 60\n68 32\n74 58\n78 55\n67 40\n22 67\n27 59\n2 2\n89 62\n90 60\n41 57\n66 24\n65 93\n55 8\n94 2\n82 81\n91 67\n63 30\n24 12\n95 49\n48 63\n30 23\n32 86\n10 98\n89 71\n73 35\n85 60\n22 46\n9 50\n79 75\n24 53\n48 17\n22 61\n26 49\n89 58\n77 85\n",
"1 1729\n68 92\n",
"30 2800\n25 12\n43 10\n38 39\n14 8\n35 41\n19 11\n23 5\n28 2\n7 36\n9 36\n38 32\n28 29\n18 31\n22 6\n25 40\n43 25\n36 33\n14 24\n13 40\n1 1\n19 44\n37 18\n7 17\n18 14\n44 35\n15 51\n43 23\n34 29\n3 21\n31 47\n",
"50 30\n9 35\n1 48\n20 43\n41 39\n28 7\n14 10\n3 45\n35 37\n31 27\n11 16\n40 8\n4 7\n15 33\n29 17\n41 45\n11 24\n6 8\n6 2\n2 42\n19 34\n7 36\n14 15\n26 2\n22 33\n15 22\n49 23\n10 41\n6 17\n21 11\n15 37\n49 26\n49 49\n15 29\n12 49\n22 13\n7 49\n25 32\n7 7\n31 37\n23 14\n5 37\n14 6\n44 21\n8 16\n22 7\n43 44\n36 44\n4 49\n22 46\n4 21\n",
"10 50\n9 7\n2 2\n2 18\n10 9\n6 1\n8 10\n10 5\n7 5\n4 5\n8 1\n",
"10 30\n12 35\n2 8\n19 7\n7 1\n27 14\n13 3\n14 12\n19 26\n21 17\n17 30\n",
"4 6\n2 2\n1 2\n3 1\n5 10\n",
"1 4\n0 2\n",
"30 10\n27 10\n39 39\n87 45\n70 82\n20 50\n45 51\n67 31\n43 96\n87 26\n59 20\n42 22\n69 71\n10 30\n39 59\n42 100\n4 67\n21 55\n83 69\n33 81\n37 43\n57 12\n30 83\n34 12\n35 32\n11 12\n51 96\n100 68\n96 20\n50 61\n55 61\n",
"8 20\n18 18\n14 15\n9 4\n5 9\n2 7\n9 4\n9 19\n2 11\n",
"2 3\n1 4\n2 0\n",
"4 3\n2 2\n1 1\n4 1\n2 3\n",
"50 100\n45 74\n41 31\n84 56\n14 8\n25 94\n71 76\n35 8\n66 67\n27 54\n67 91\n71 20\n71 91\n7 58\n13 34\n47 60\n68 32\n74 58\n78 55\n67 40\n22 67\n27 59\n2 2\n89 62\n90 60\n41 57\n66 24\n65 93\n55 8\n94 2\n82 81\n91 67\n51 30\n24 12\n95 49\n48 63\n30 23\n32 86\n10 98\n89 71\n73 35\n85 60\n22 46\n9 50\n79 75\n24 53\n48 17\n22 61\n26 49\n89 58\n77 85\n"
],
"output": [
"1\n",
"2\n",
"20\n",
"548967810\n",
"4\n",
"62\n",
"964762206\n",
"2\n",
"0\n",
"563987225\n",
"822253206\n",
"0\n",
"440706472\n",
"370055910\n",
"0\n",
"216\n",
"12\n",
"2\n",
"42\n",
"9\n",
"1\n",
"0\n",
"1\n",
"936413338\n",
"65610\n",
"94\n",
"842986379\n",
"4551\n",
"50\n",
"10\n",
"379149793\n",
"1\n",
"771010208\n",
"457432849\n",
"0\n",
"510185509\n",
"3\n",
"1\n",
"0\n",
"599013005\n",
"33450069\n",
"168261943\n",
"240581141\n",
"96\n",
"12\n",
"11\n",
"8\n",
"702229178\n",
"42120\n",
"444126391\n",
"4072\n",
"118\n",
"10\n",
"2\n",
"609777220\n",
"522745070\n",
"20\n",
"339606575\n",
"4\n",
"543868255\n",
"868799599\n",
"654961948\n",
"746061043\n",
"107396603\n",
"6413\n",
"66\n",
"9\n",
"960802671\n",
"800064799\n",
"16\n",
"805415018\n",
"738169119\n",
"0\n",
"0\n",
"1\n",
"0\n",
"0\n",
"1\n",
"1\n",
"0\n",
"0\n",
"8\n",
"11\n",
"1\n",
"2\n",
"0\n",
"2\n",
"0\n",
"0\n",
"1\n",
"1\n"
]
} | 2CODEFORCES
|
182_E. Wooden Fence_38235 | Vasya has recently bought some land and decided to surround it with a wooden fence.
He went to a company called "Wooden board" that produces wooden boards for fences. Vasya read in the catalog of products that the company has at its disposal n different types of wood. The company uses the i-th type of wood to produce a board of this type that is a rectangular ai by bi block.
Vasya decided to order boards in this company and build a fence from them. It turned out that the storehouse of the company is so large that Vasya can order arbitrary number of boards of every type. Note that Vasya is allowed to turn the boards as he builds the fence. However, Vasya cannot turn square boards.
Vasya is required to construct a fence of length l, however, an arbitrary fence won't do. Vasya wants his fence to look beautiful. We'll say that a fence is beautiful if and only if the following two conditions are fulfilled:
* there are no two successive boards of the same type
* the first board of the fence has an arbitrary length, and the length of each subsequent board equals the width of the previous one
In other words, the fence is considered beautiful, if the type of the i-th board in the fence is different from the i - 1-th board's type; besides, the i-th board's length is equal to the i - 1-th board's width (for all i, starting from 2).
Now Vasya wonders, how many variants of arranging a fence for his land exist. Your task is to count the number of different beautiful fences of length l.
Two fences will be considered the same if the corresponding sequences of fence boards types and rotations are the same, otherwise the fences are different. Since the sought number can be large enough, you need to calculate the answer modulo 1000000007 (109 + 7).
Input
The first line contains two integers n and l (1 ≤ n ≤ 100, 1 ≤ l ≤ 3000) — the number of different board types and the fence length, correspondingly. Next n lines contain descriptions of board types: the i-th line contains two integers ai and bi (1 ≤ ai, bi ≤ 100) — the sizes of the board of the i-th type. All numbers on the lines are separated by spaces.
Output
Print a single integer — the sought number of variants modulo 1000000007 (109 + 7).
Examples
Input
2 3
1 2
2 3
Output
2
Input
1 2
2 2
Output
1
Input
6 6
2 1
3 2
2 5
3 3
5 1
2 1
Output
20
Note
In the first sample there are exactly two variants of arranging a beautiful fence of length 3:
* As the first fence board use the board of the first type of length 1 and width 2. As the second board use board of the second type of length 2 and width 3.
* Use one board of the second type after you turn it. That makes its length equal 3, and width — 2. |
import java.io.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;
import java.util.Arrays;
public class E {
public static void main(String[] args) throws IOException {
BufferedReader buf = new BufferedReader(
new InputStreamReader(System.in));
String[] in = buf.readLine().split(" ");
int n = Integer.parseInt(in[0]);
int l = Integer.parseInt(in[1]);
int[][] array = new int[n][2];
for (int i = 0; i < n; i++) {
in = buf.readLine().split(" ");
array[i][0] = Integer.parseInt(in[0]);
array[i][1] = Integer.parseInt(in[1]);
}
long[][][] dp = new long[n + 1][l + 1][2];
for (int i = 0; i < dp.length; i++)
for (int j = 0; j < dp[0].length; j++)
Arrays.fill(dp[i][j], -1);
long sum = 0;
for (int i = 0; i < n; i++) {
sum += go(dp, i, l - array[i][0], 0, array) % 1000000007;
if (array[i][0] != array[i][1])
sum += go(dp, i, l - array[i][1], 1, array) % 1000000007;
sum %= 1000000007;
}
System.out.println(sum % 1000000007);
}
private static long go(long[][][] dp, int type, int rem, int orien,
int[][] array) {
if (rem == 0)
return 1;
else if (rem < 0)
return 0;
else if (dp[type][rem][orien] != -1)
return dp[type][rem][orien];
else {
long sum = 0;
for (int i = 0; i < array.length; i++)
if (type != i) {
if (orien == 0) {
if (array[type][0] == array[i][0]) {
sum += go(dp, i, rem - array[i][1], 1, array) % 1000000007;
} else if (array[type][0] == array[i][1])
sum += go(dp, i, rem - array[i][0], 0, array) % 1000000007;
} else {
if (array[type][1] == array[i][0]) {
sum += go(dp, i, rem - array[i][1], 1, array) % 1000000007;
} else if (array[type][1] == array[i][1])
sum += go(dp, i, rem - array[i][0], 0, array) % 1000000007;
}
}
return dp[type][rem][orien] = sum % 1000000007;
}
}
}
| 4JAVA
| {
"input": [
"1 2\n2 2\n",
"2 3\n1 2\n2 3\n",
"6 6\n2 1\n3 2\n2 5\n3 3\n5 1\n2 1\n",
"100 1500\n3 3\n3 2\n1 3\n3 1\n2 3\n3 2\n3 2\n2 1\n3 1\n2 3\n3 3\n3 1\n1 1\n3 1\n3 3\n2 2\n2 2\n1 2\n1 1\n3 1\n2 2\n2 3\n2 3\n2 2\n3 3\n3 2\n1 1\n3 3\n2 2\n1 3\n3 3\n3 1\n1 2\n3 3\n3 3\n2 2\n1 1\n3 3\n1 3\n2 1\n1 2\n2 1\n1 3\n1 3\n1 3\n1 1\n1 3\n3 1\n2 3\n1 3\n2 2\n2 1\n2 1\n2 3\n3 2\n1 2\n2 2\n1 3\n1 1\n1 3\n3 3\n1 3\n3 2\n1 3\n2 1\n2 3\n2 3\n2 3\n3 2\n1 2\n1 3\n2 3\n1 3\n2 1\n3 2\n3 3\n1 1\n3 1\n3 3\n1 3\n3 2\n3 2\n2 2\n1 3\n2 2\n3 2\n1 3\n2 2\n2 1\n3 2\n1 3\n3 2\n1 2\n2 2\n1 3\n1 1\n3 3\n2 2\n3 1\n3 3\n",
"4 3\n1 2\n1 1\n3 1\n2 2\n",
"5 8\n3 1\n2 1\n2 3\n2 1\n3 1\n",
"40 700\n11 14\n4 14\n14 13\n12 9\n14 10\n3 9\n7 7\n5 15\n1 11\n5 7\n2 9\n7 5\n3 10\n5 14\n4 11\n13 6\n4 6\n3 9\n1 11\n8 13\n6 4\n12 10\n10 14\n8 2\n1 15\n13 13\n6 11\n7 2\n7 12\n8 7\n1 13\n13 7\n12 10\n1 7\n7 1\n4 4\n10 7\n1 4\n13 8\n13 10\n",
"50 100\n45 74\n41 31\n84 56\n14 8\n25 94\n71 76\n35 8\n66 67\n27 54\n67 91\n71 20\n71 91\n7 58\n13 34\n47 60\n68 32\n74 58\n78 55\n67 40\n22 67\n27 59\n2 2\n89 62\n90 60\n41 57\n66 24\n65 93\n55 8\n94 2\n82 81\n91 67\n63 68\n24 12\n95 49\n48 63\n30 23\n32 86\n10 98\n89 71\n73 35\n85 60\n22 46\n9 50\n79 75\n24 53\n48 17\n22 61\n26 49\n89 58\n77 56\n",
"1 3\n1 1\n",
"100 2500\n3 1\n3 2\n3 2\n3 1\n1 1\n1 2\n3 3\n1 2\n1 2\n3 1\n3 3\n3 2\n1 3\n2 1\n2 3\n2 2\n1 3\n2 2\n2 2\n1 1\n2 3\n1 3\n1 2\n3 1\n2 3\n2 3\n3 1\n2 3\n2 3\n3 1\n1 1\n3 2\n2 3\n3 3\n3 2\n3 1\n3 2\n3 1\n2 1\n1 3\n2 2\n2 2\n3 2\n1 2\n3 1\n3 2\n3 1\n1 2\n3 1\n3 1\n3 1\n2 3\n1 3\n1 3\n2 2\n1 2\n3 3\n3 2\n3 2\n3 3\n3 3\n2 1\n1 2\n3 2\n1 2\n2 3\n1 2\n2 3\n2 3\n3 2\n3 1\n2 3\n1 2\n1 1\n1 1\n3 1\n2 3\n2 1\n2 3\n3 2\n1 1\n3 3\n1 3\n3 2\n3 2\n2 2\n2 2\n2 2\n1 1\n1 2\n1 2\n3 3\n1 1\n3 2\n1 2\n2 2\n3 3\n2 2\n1 2\n2 3\n",
"100 3000\n3 3\n2 1\n3 3\n4 1\n2 4\n3 1\n3 4\n1 2\n3 4\n4 3\n2 2\n2 3\n4 2\n3 3\n1 3\n4 3\n3 1\n4 3\n2 2\n2 4\n2 2\n3 2\n2 1\n3 4\n1 1\n1 1\n1 2\n1 3\n2 4\n3 4\n2 4\n2 3\n3 1\n4 1\n1 3\n2 2\n3 2\n2 2\n3 3\n2 2\n4 4\n4 3\n1 3\n2 3\n1 3\n1 1\n2 3\n3 3\n4 2\n2 2\n1 1\n1 3\n4 4\n3 3\n4 2\n1 4\n4 4\n2 4\n1 3\n2 3\n1 3\n1 1\n4 4\n3 2\n2 1\n4 4\n2 1\n2 1\n2 3\n3 3\n2 4\n2 1\n4 1\n3 1\n2 3\n1 2\n1 1\n1 1\n2 2\n1 1\n4 1\n4 4\n3 2\n2 2\n1 4\n2 2\n4 3\n2 2\n4 1\n2 1\n4 2\n2 4\n2 1\n3 4\n4 2\n2 4\n3 4\n2 1\n1 1\n1 2\n",
"1 3000\n78 92\n",
"100 3000\n1 4\n2 1\n3 3\n1 1\n5 4\n4 1\n2 1\n5 4\n1 1\n3 3\n4 3\n3 4\n4 2\n2 4\n1 2\n3 4\n5 3\n1 4\n2 4\n4 5\n1 2\n5 2\n2 2\n3 2\n4 4\n1 4\n5 5\n3 4\n4 1\n3 3\n5 2\n3 3\n4 1\n1 5\n4 3\n5 3\n4 2\n3 3\n3 5\n5 1\n5 1\n3 3\n4 3\n1 3\n4 1\n2 3\n1 3\n1 2\n5 5\n5 2\n1 5\n4 2\n1 1\n1 1\n1 2\n4 4\n5 4\n2 5\n1 3\n5 3\n1 1\n3 5\n1 4\n5 2\n2 3\n1 3\n5 1\n3 4\n5 1\n5 3\n3 2\n2 4\n5 2\n2 5\n5 4\n2 4\n1 1\n2 1\n2 3\n4 4\n1 5\n2 2\n1 3\n3 1\n3 2\n5 2\n5 5\n2 5\n2 3\n3 2\n4 1\n2 3\n5 1\n4 2\n2 4\n2 1\n5 3\n5 4\n1 1\n2 3\n",
"100 2000\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n",
"30 2800\n25 12\n43 10\n38 39\n14 8\n35 41\n19 11\n23 5\n28 2\n7 36\n9 36\n38 32\n28 29\n18 31\n22 6\n25 34\n43 25\n36 33\n14 24\n13 40\n1 1\n19 44\n37 18\n7 17\n18 14\n44 35\n15 37\n43 23\n34 29\n3 21\n31 47\n",
"4 6\n2 1\n1 2\n2 1\n2 1\n",
"50 30\n9 35\n1 48\n17 43\n41 39\n28 7\n14 10\n3 45\n35 37\n31 27\n11 16\n40 8\n4 7\n15 33\n29 17\n41 45\n11 24\n6 8\n6 2\n2 42\n19 34\n7 36\n14 15\n26 2\n22 33\n15 22\n49 23\n10 41\n6 17\n21 11\n15 37\n49 26\n49 49\n15 29\n12 49\n22 13\n7 49\n25 32\n7 7\n31 37\n23 14\n5 37\n14 6\n44 21\n8 16\n22 7\n43 44\n36 44\n4 26\n22 46\n4 21\n",
"4 10\n4 5\n5 3\n1 4\n1 2\n",
"10 50\n9 7\n2 2\n7 9\n10 9\n6 1\n8 10\n10 5\n7 5\n4 5\n8 1\n",
"7 4\n1 2\n2 2\n3 3\n3 3\n1 1\n3 3\n3 1\n",
"10 30\n12 21\n2 8\n19 7\n7 1\n27 14\n13 3\n14 7\n19 26\n21 17\n17 30\n",
"4 6\n1 1\n1 2\n3 1\n5 10\n",
"1 4\n4 1\n",
"100 3000\n1 1\n3 3\n3 2\n1 1\n3 2\n1 3\n1 3\n1 1\n2 3\n2 3\n3 2\n1 3\n3 3\n1 1\n3 1\n2 3\n3 1\n2 1\n3 2\n3 2\n2 2\n1 2\n3 3\n3 3\n3 3\n3 3\n1 3\n3 2\n2 3\n3 2\n3 1\n1 1\n3 1\n1 3\n1 2\n2 1\n3 2\n2 3\n3 1\n3 2\n3 1\n2 1\n1 3\n1 1\n3 3\n2 2\n3 2\n3 3\n2 2\n2 3\n3 3\n2 3\n2 2\n3 3\n3 3\n1 1\n2 3\n1 1\n3 3\n3 3\n2 2\n1 2\n3 2\n3 3\n3 3\n3 3\n3 1\n1 2\n1 1\n1 1\n2 1\n1 2\n3 2\n2 3\n3 2\n1 1\n2 1\n2 2\n1 1\n1 2\n1 3\n2 2\n2 3\n2 1\n1 2\n3 1\n3 1\n3 3\n2 3\n1 1\n3 3\n2 2\n1 3\n3 1\n2 3\n2 2\n3 2\n1 1\n3 3\n3 2\n",
"10 5\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n",
"6 7\n3 1\n2 1\n1 2\n4 5\n2 5\n2 1\n",
"100 2000\n2 2\n2 1\n2 2\n1 2\n1 2\n2 2\n1 2\n1 2\n2 2\n2 1\n1 1\n2 2\n2 2\n2 1\n2 2\n2 2\n1 1\n2 2\n1 2\n2 2\n1 1\n2 1\n2 1\n2 1\n1 1\n2 1\n2 1\n1 2\n2 1\n2 1\n1 2\n1 2\n2 2\n1 2\n2 1\n2 2\n2 2\n1 1\n2 2\n2 2\n2 2\n2 1\n2 2\n1 1\n1 2\n1 2\n2 1\n2 1\n1 1\n2 1\n1 1\n2 1\n1 1\n2 2\n2 1\n1 2\n1 1\n1 1\n1 2\n1 2\n2 1\n2 2\n1 2\n2 1\n2 2\n1 2\n2 1\n2 1\n2 2\n1 2\n2 2\n1 1\n2 2\n2 1\n2 2\n1 1\n1 2\n1 1\n1 1\n1 2\n1 1\n2 1\n2 1\n2 2\n2 1\n1 1\n2 1\n1 1\n1 1\n1 1\n1 2\n1 2\n1 1\n2 1\n1 2\n2 1\n2 2\n2 1\n1 1\n2 2\n",
"13 10\n4 2\n1 3\n3 3\n2 2\n3 1\n3 4\n4 1\n1 3\n2 3\n1 3\n3 1\n3 3\n2 1\n",
"5 10\n1 2\n2 3\n1 2\n3 1\n2 4\n",
"10 11\n3 10\n10 2\n2 6\n7 6\n8 1\n2 3\n7 10\n8 2\n6 5\n2 5\n",
"20 20\n2 1\n1 1\n2 3\n2 1\n2 1\n3 3\n2 3\n1 2\n1 1\n1 1\n2 3\n2 3\n1 3\n2 2\n2 1\n3 2\n2 1\n1 1\n1 3\n3 3\n",
"30 80\n27 10\n39 39\n87 45\n70 82\n20 50\n45 51\n67 31\n43 96\n87 26\n59 20\n42 22\n69 71\n10 30\n39 59\n42 100\n4 67\n21 55\n83 69\n33 81\n37 43\n57 12\n30 83\n34 12\n35 32\n11 12\n51 96\n100 68\n96 20\n50 61\n46 61\n",
"50 2000\n12 1\n11 29\n7 4\n18 27\n25 17\n28 5\n1 17\n10 29\n10 21\n8 7\n23 4\n20 7\n8 24\n2 27\n13 13\n14 15\n19 15\n7 26\n24 13\n8 25\n7 11\n18 11\n19 1\n30 15\n3 24\n27 7\n24 25\n7 7\n14 23\n3 24\n25 10\n25 3\n4 11\n22 29\n27 28\n23 5\n3 6\n16 3\n30 18\n16 22\n24 7\n11 1\n10 23\n2 3\n27 28\n28 25\n20 21\n25 3\n10 3\n7 25\n",
"60 900\n38 15\n10 1\n14 37\n13 1\n40 15\n31 26\n31 4\n12 5\n28 34\n37 7\n28 34\n11 30\n30 16\n27 18\n11 18\n17 6\n38 22\n31 37\n20 38\n21 23\n11 12\n24 35\n36 8\n13 13\n34 39\n20 15\n17 3\n23 17\n18 23\n26 18\n11 2\n18 30\n25 25\n32 40\n9 38\n37 39\n39 37\n5 10\n15 19\n14 21\n34 8\n7 36\n29 3\n11 21\n32 2\n21 40\n10 33\n36 39\n15 31\n38 16\n4 14\n6 16\n31 18\n15 23\n1 38\n32 24\n13 12\n15 15\n24 11\n24 27\n",
"8 20\n18 18\n14 15\n8 4\n5 9\n2 7\n9 2\n9 19\n2 11\n",
"100 1500\n3 3\n3 2\n1 3\n3 1\n2 3\n3 2\n3 2\n2 1\n3 1\n2 3\n3 3\n3 1\n1 1\n3 1\n3 3\n2 2\n2 2\n1 2\n1 1\n3 1\n2 2\n2 3\n2 3\n2 2\n3 3\n3 2\n1 1\n3 3\n2 2\n1 3\n3 3\n3 1\n1 2\n3 3\n3 3\n2 2\n1 1\n3 3\n1 3\n2 1\n1 2\n2 1\n1 3\n1 3\n1 3\n1 1\n1 3\n3 1\n2 3\n1 3\n2 2\n2 1\n2 1\n2 3\n3 2\n1 2\n2 2\n1 3\n1 1\n1 3\n3 3\n1 3\n3 2\n1 3\n2 1\n2 3\n2 3\n2 3\n3 2\n1 3\n1 3\n2 3\n1 3\n2 1\n3 2\n3 3\n1 1\n3 1\n3 3\n1 3\n3 2\n3 2\n2 2\n1 3\n2 2\n3 2\n1 3\n2 2\n2 1\n3 2\n1 3\n3 2\n1 2\n2 2\n1 3\n1 1\n3 3\n2 2\n3 1\n3 3\n",
"4 3\n1 2\n1 1\n4 1\n2 2\n",
"50 100\n45 74\n41 31\n84 56\n14 8\n25 94\n71 76\n35 8\n66 67\n27 54\n67 91\n71 20\n71 91\n7 58\n13 34\n47 60\n68 32\n74 58\n78 55\n67 40\n22 67\n27 59\n2 2\n89 62\n90 60\n41 57\n66 24\n65 93\n55 8\n94 2\n82 81\n91 67\n63 30\n24 12\n95 49\n48 63\n30 23\n32 86\n10 98\n89 71\n73 35\n85 60\n22 46\n9 50\n79 75\n24 53\n48 17\n22 61\n26 49\n89 58\n77 56\n",
"1 3\n2 1\n",
"100 2500\n3 1\n3 2\n3 2\n3 1\n1 1\n1 2\n3 3\n1 2\n1 2\n3 1\n3 3\n3 2\n1 3\n2 1\n2 3\n2 2\n1 3\n2 2\n2 2\n1 1\n2 3\n1 3\n1 2\n3 1\n2 3\n2 3\n3 1\n2 3\n2 3\n3 1\n1 1\n3 2\n2 3\n3 3\n3 2\n3 1\n3 2\n3 1\n2 1\n1 3\n2 2\n2 2\n3 2\n1 2\n3 1\n3 2\n3 1\n1 2\n3 1\n3 1\n3 1\n2 3\n1 3\n1 3\n2 2\n1 2\n3 3\n3 2\n3 2\n3 3\n1 3\n2 1\n1 2\n3 2\n1 2\n2 3\n1 2\n2 3\n2 3\n3 2\n3 1\n2 3\n1 2\n1 1\n1 1\n3 1\n2 3\n2 1\n2 3\n3 2\n1 1\n3 3\n1 3\n3 2\n3 2\n2 2\n2 2\n2 2\n1 1\n1 2\n1 2\n3 3\n1 1\n3 2\n1 2\n2 2\n3 3\n2 2\n1 2\n2 3\n",
"100 3000\n3 3\n2 1\n3 3\n4 1\n2 4\n3 1\n3 4\n1 2\n3 4\n4 3\n2 2\n2 3\n4 2\n3 3\n1 3\n4 3\n3 1\n4 3\n2 2\n2 4\n2 2\n3 2\n2 1\n3 4\n1 1\n1 1\n1 2\n1 3\n2 4\n3 4\n2 4\n2 3\n3 1\n4 1\n1 3\n2 2\n3 2\n2 2\n3 3\n2 2\n4 4\n4 3\n1 3\n2 3\n1 3\n1 1\n2 3\n3 3\n4 2\n2 2\n1 1\n1 3\n4 4\n3 3\n4 2\n1 4\n5 4\n2 4\n1 3\n2 3\n1 3\n1 1\n4 4\n3 2\n2 1\n4 4\n2 1\n2 1\n2 3\n3 3\n2 4\n2 1\n4 1\n3 1\n2 3\n1 2\n1 1\n1 1\n2 2\n1 1\n4 1\n4 4\n3 2\n2 2\n1 4\n2 2\n4 3\n2 2\n4 1\n2 1\n4 2\n2 4\n2 1\n3 4\n4 2\n2 4\n3 4\n2 1\n1 1\n1 2\n",
"100 3000\n1 4\n2 1\n3 3\n1 1\n5 4\n4 1\n2 1\n5 4\n1 1\n3 3\n4 3\n3 4\n4 2\n2 4\n1 2\n3 4\n5 3\n1 4\n2 4\n4 5\n1 2\n5 2\n2 2\n3 2\n4 4\n1 4\n5 5\n3 4\n4 1\n3 3\n5 2\n3 3\n4 1\n1 5\n4 3\n5 3\n4 2\n3 3\n3 5\n5 1\n5 1\n3 3\n4 3\n1 3\n4 1\n2 3\n1 3\n1 2\n5 5\n5 2\n1 5\n4 2\n1 1\n1 1\n1 2\n4 4\n5 4\n2 5\n1 3\n5 3\n1 1\n3 5\n1 4\n5 2\n2 3\n1 3\n5 1\n3 4\n10 1\n5 3\n3 2\n2 4\n5 2\n2 5\n5 4\n2 4\n1 1\n2 1\n2 3\n4 4\n1 5\n2 2\n1 3\n3 1\n3 2\n5 2\n5 5\n2 5\n2 3\n3 2\n4 1\n2 3\n5 1\n4 2\n2 4\n2 1\n5 3\n5 4\n1 1\n2 3\n",
"100 2000\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n2 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n",
"4 6\n1 1\n1 2\n2 1\n2 1\n",
"50 30\n9 35\n1 48\n20 43\n41 39\n28 7\n14 10\n3 45\n35 37\n31 27\n11 16\n40 8\n4 7\n15 33\n29 17\n41 45\n11 24\n6 8\n6 2\n2 42\n19 34\n7 36\n14 15\n26 2\n22 33\n15 22\n49 23\n10 41\n6 17\n21 11\n15 37\n49 26\n49 49\n15 29\n12 49\n22 13\n7 49\n25 32\n7 7\n31 37\n23 14\n5 37\n14 6\n44 21\n8 16\n22 7\n43 44\n36 44\n4 26\n22 46\n4 21\n",
"10 50\n9 7\n2 2\n7 18\n10 9\n6 1\n8 10\n10 5\n7 5\n4 5\n8 1\n",
"4 6\n2 1\n1 2\n3 1\n5 10\n",
"100 3000\n1 1\n3 3\n3 2\n1 1\n3 2\n1 3\n1 3\n1 1\n2 3\n2 3\n3 2\n1 3\n3 3\n1 1\n3 1\n2 3\n3 1\n2 1\n3 2\n3 2\n2 2\n1 2\n3 3\n3 3\n3 3\n3 3\n1 3\n3 2\n2 3\n3 2\n5 1\n1 1\n3 1\n1 3\n1 2\n2 1\n3 2\n2 3\n3 1\n3 2\n3 1\n2 1\n1 3\n1 1\n3 3\n2 2\n3 2\n3 3\n2 2\n2 3\n3 3\n2 3\n2 2\n3 3\n3 3\n1 1\n2 3\n1 1\n3 3\n3 3\n2 2\n1 2\n3 2\n3 3\n3 3\n3 3\n3 1\n1 2\n1 1\n1 1\n2 1\n1 2\n3 2\n2 3\n3 2\n1 1\n2 1\n2 2\n1 1\n1 2\n1 3\n2 2\n2 3\n2 1\n1 2\n3 1\n3 1\n3 3\n2 3\n1 1\n3 3\n2 2\n1 3\n3 1\n2 3\n2 2\n3 2\n1 1\n3 3\n3 2\n",
"10 5\n2 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n",
"100 2000\n2 2\n2 1\n2 2\n1 2\n1 2\n2 2\n1 2\n1 2\n2 2\n2 1\n1 1\n2 2\n2 2\n2 1\n2 2\n2 2\n1 1\n2 2\n1 2\n2 2\n1 1\n2 1\n2 1\n2 1\n1 1\n2 1\n2 1\n1 2\n2 1\n2 1\n1 2\n1 2\n2 2\n1 2\n2 1\n2 2\n2 2\n1 1\n2 2\n2 2\n2 2\n2 1\n2 2\n1 1\n1 2\n1 2\n2 1\n2 1\n1 1\n2 1\n1 1\n2 1\n1 1\n2 2\n2 1\n1 2\n1 1\n1 1\n1 2\n1 2\n2 1\n2 2\n1 2\n2 1\n2 2\n1 2\n2 1\n2 1\n2 2\n1 2\n2 2\n1 1\n2 2\n3 1\n2 2\n1 1\n1 2\n1 1\n1 1\n1 2\n1 1\n2 1\n2 1\n2 2\n2 1\n1 1\n2 1\n1 1\n1 1\n1 1\n1 2\n1 2\n1 1\n2 1\n1 2\n2 1\n2 2\n2 1\n1 1\n2 2\n",
"13 10\n4 4\n1 3\n3 3\n2 2\n3 1\n3 4\n4 1\n1 3\n2 3\n1 3\n3 1\n3 3\n2 1\n",
"5 10\n1 2\n2 3\n1 2\n3 1\n2 3\n",
"10 11\n3 12\n10 2\n2 6\n7 6\n8 1\n2 3\n7 10\n8 2\n6 5\n2 5\n",
"30 10\n27 10\n39 39\n87 45\n70 82\n20 50\n45 51\n67 31\n43 96\n87 26\n59 20\n42 22\n69 71\n10 30\n39 59\n42 100\n4 67\n21 55\n83 69\n33 81\n37 43\n57 12\n30 83\n34 12\n35 32\n11 12\n51 96\n100 68\n96 20\n50 61\n46 61\n",
"50 2000\n12 1\n11 29\n7 4\n18 27\n25 17\n28 5\n1 17\n10 29\n10 21\n8 7\n23 4\n20 7\n8 24\n2 27\n13 13\n14 15\n19 15\n7 26\n24 13\n8 25\n7 11\n18 11\n19 1\n30 15\n3 24\n27 7\n24 25\n7 7\n14 23\n3 24\n25 10\n10 3\n4 11\n22 29\n27 28\n23 5\n3 6\n16 3\n30 18\n16 22\n24 7\n11 1\n10 23\n2 3\n27 28\n28 25\n20 21\n25 3\n10 3\n7 25\n",
"60 900\n38 15\n10 1\n14 37\n13 1\n40 15\n31 26\n31 4\n12 5\n28 34\n37 7\n28 34\n11 30\n30 16\n27 18\n11 18\n17 6\n38 22\n31 37\n20 38\n21 23\n11 12\n24 35\n36 8\n13 13\n34 39\n20 15\n17 3\n23 17\n18 23\n26 18\n11 2\n18 30\n25 25\n32 40\n9 38\n37 39\n39 37\n5 10\n27 19\n14 21\n34 8\n7 36\n29 3\n11 21\n32 2\n21 40\n10 33\n36 39\n15 31\n38 16\n4 14\n6 16\n31 18\n15 23\n1 38\n32 24\n13 12\n15 15\n24 11\n24 27\n",
"6 6\n2 1\n3 2\n2 5\n3 5\n5 1\n2 1\n",
"100 1500\n3 3\n3 2\n1 3\n3 1\n2 3\n3 2\n3 2\n2 1\n3 1\n2 3\n3 3\n3 1\n1 1\n3 1\n3 3\n2 2\n2 2\n1 2\n1 1\n3 1\n2 2\n2 3\n2 3\n2 2\n3 3\n3 2\n1 1\n3 3\n2 2\n1 3\n3 3\n3 1\n1 2\n3 3\n3 3\n2 2\n1 1\n3 3\n1 3\n2 1\n1 2\n2 1\n1 3\n1 3\n1 3\n1 1\n1 3\n3 1\n2 3\n1 3\n2 2\n2 1\n2 1\n2 3\n3 2\n1 2\n2 2\n1 3\n1 1\n1 3\n3 3\n1 3\n3 2\n1 3\n2 1\n2 3\n2 3\n2 3\n3 2\n1 3\n1 3\n2 3\n1 3\n2 1\n3 2\n3 3\n1 1\n3 1\n3 3\n1 3\n3 2\n3 2\n2 2\n1 3\n2 2\n3 2\n1 3\n2 2\n2 1\n3 2\n1 3\n3 2\n1 2\n2 2\n1 3\n1 1\n3 3\n2 2\n3 1\n3 2\n",
"4 3\n1 2\n1 1\n4 1\n2 3\n",
"100 2500\n3 1\n3 2\n3 2\n3 1\n1 1\n1 2\n3 3\n1 2\n1 2\n3 1\n3 3\n3 2\n1 3\n2 1\n2 3\n2 2\n1 3\n2 2\n2 2\n2 1\n2 3\n1 3\n1 2\n3 1\n2 3\n2 3\n3 1\n2 3\n2 3\n3 1\n1 1\n3 2\n2 3\n3 3\n3 2\n3 1\n3 2\n3 1\n2 1\n1 3\n2 2\n2 2\n3 2\n1 2\n3 1\n3 2\n3 1\n1 2\n3 1\n3 1\n3 1\n2 3\n1 3\n1 3\n2 2\n1 2\n3 3\n3 2\n3 2\n3 3\n1 3\n2 1\n1 2\n3 2\n1 2\n2 3\n1 2\n2 3\n2 3\n3 2\n3 1\n2 3\n1 2\n1 1\n1 1\n3 1\n2 3\n2 1\n2 3\n3 2\n1 1\n3 3\n1 3\n3 2\n3 2\n2 2\n2 2\n2 2\n1 1\n1 2\n1 2\n3 3\n1 1\n3 2\n1 2\n2 2\n3 3\n2 2\n1 2\n2 3\n",
"100 3000\n3 3\n2 1\n3 3\n4 1\n2 4\n3 1\n3 4\n1 2\n3 4\n4 3\n2 2\n2 3\n4 2\n3 3\n1 3\n4 3\n3 1\n4 3\n3 2\n2 4\n2 2\n3 2\n2 1\n3 4\n1 1\n1 1\n1 2\n1 3\n2 4\n3 4\n2 4\n2 3\n3 1\n4 1\n1 3\n2 2\n3 2\n2 2\n3 3\n2 2\n4 4\n4 3\n1 3\n2 3\n1 3\n1 1\n2 3\n3 3\n4 2\n2 2\n1 1\n1 3\n4 4\n3 3\n4 2\n1 4\n5 4\n2 4\n1 3\n2 3\n1 3\n1 1\n4 4\n3 2\n2 1\n4 4\n2 1\n2 1\n2 3\n3 3\n2 4\n2 1\n4 1\n3 1\n2 3\n1 2\n1 1\n1 1\n2 2\n1 1\n4 1\n4 4\n3 2\n2 2\n1 4\n2 2\n4 3\n2 2\n4 1\n2 1\n4 2\n2 4\n2 1\n3 4\n4 2\n2 4\n3 4\n2 1\n1 1\n1 2\n",
"100 3000\n1 4\n2 1\n3 3\n1 1\n5 4\n4 1\n2 1\n5 4\n1 1\n3 3\n4 3\n3 4\n4 2\n2 4\n1 2\n3 4\n5 3\n1 4\n2 4\n4 2\n1 2\n5 2\n2 2\n3 2\n4 4\n1 4\n5 5\n3 4\n4 1\n3 3\n5 2\n3 3\n4 1\n1 5\n4 3\n5 3\n4 2\n3 3\n3 5\n5 1\n5 1\n3 3\n4 3\n1 3\n4 1\n2 3\n1 3\n1 2\n5 5\n5 2\n1 5\n4 2\n1 1\n1 1\n1 2\n4 4\n5 4\n2 5\n1 3\n5 3\n1 1\n3 5\n1 4\n5 2\n2 3\n1 3\n5 1\n3 4\n10 1\n5 3\n3 2\n2 4\n5 2\n2 5\n5 4\n2 4\n1 1\n2 1\n2 3\n4 4\n1 5\n2 2\n1 3\n3 1\n3 2\n5 2\n5 5\n2 5\n2 3\n3 2\n4 1\n2 3\n5 1\n4 2\n2 4\n2 1\n5 3\n5 4\n1 1\n2 3\n",
"100 3000\n1 1\n3 3\n3 2\n1 1\n3 2\n1 3\n1 3\n1 1\n2 3\n2 3\n3 2\n1 3\n3 3\n1 1\n3 1\n2 3\n3 1\n2 1\n3 2\n3 2\n2 2\n1 2\n3 3\n3 3\n3 3\n3 3\n1 3\n3 2\n2 3\n3 2\n5 1\n1 1\n3 1\n1 3\n1 2\n2 1\n3 2\n2 3\n3 1\n3 2\n3 1\n2 1\n1 3\n1 1\n3 3\n2 2\n3 2\n3 3\n2 2\n2 3\n3 3\n2 3\n2 2\n3 3\n3 3\n1 1\n2 3\n1 1\n3 3\n3 3\n2 2\n1 2\n3 2\n5 3\n3 3\n3 3\n3 1\n1 2\n1 1\n1 1\n2 1\n1 2\n3 2\n2 3\n3 2\n1 1\n2 1\n2 2\n1 1\n1 2\n1 3\n2 2\n2 3\n2 1\n1 2\n3 1\n3 1\n3 3\n2 3\n1 1\n3 3\n2 2\n1 3\n3 1\n2 3\n2 2\n3 2\n1 1\n3 3\n3 2\n",
"100 2000\n2 2\n2 1\n2 2\n1 2\n1 2\n2 2\n1 2\n1 2\n2 2\n2 1\n1 1\n2 2\n2 2\n2 1\n2 2\n2 2\n1 1\n2 2\n1 2\n2 2\n1 1\n2 1\n2 1\n2 1\n1 1\n2 1\n2 1\n1 2\n2 1\n2 1\n1 2\n1 2\n2 2\n1 2\n2 1\n2 2\n2 3\n1 1\n2 2\n2 2\n2 2\n2 1\n2 2\n1 1\n1 2\n1 2\n2 1\n2 1\n1 1\n2 1\n1 1\n2 1\n1 1\n2 2\n2 1\n1 2\n1 1\n1 1\n1 2\n1 2\n2 1\n2 2\n1 2\n2 1\n2 2\n1 2\n2 1\n2 1\n2 2\n1 2\n2 2\n1 1\n2 2\n3 1\n2 2\n1 1\n1 2\n1 1\n1 1\n1 2\n1 1\n2 1\n2 1\n2 2\n2 1\n1 1\n2 1\n1 1\n1 1\n1 1\n1 2\n1 2\n1 1\n2 1\n1 2\n2 1\n2 2\n2 1\n1 1\n2 2\n",
"13 10\n4 4\n1 3\n3 3\n2 2\n3 1\n3 4\n4 1\n1 1\n2 3\n1 3\n3 1\n3 3\n2 1\n",
"5 10\n2 2\n2 3\n1 2\n3 1\n2 3\n",
"10 11\n4 12\n10 2\n2 6\n7 6\n8 1\n2 3\n7 10\n8 2\n6 5\n2 5\n",
"50 2000\n12 1\n11 29\n7 4\n18 27\n25 17\n28 5\n1 17\n10 29\n10 21\n8 7\n23 4\n20 7\n8 24\n2 27\n13 13\n14 15\n19 15\n3 26\n24 13\n8 25\n7 11\n18 11\n19 1\n30 15\n3 24\n27 7\n24 25\n7 7\n14 23\n3 24\n25 10\n10 3\n4 11\n22 29\n27 28\n23 5\n3 6\n16 3\n30 18\n16 22\n24 7\n11 1\n10 23\n2 3\n27 28\n28 25\n20 21\n25 3\n10 3\n7 25\n",
"60 900\n38 15\n10 1\n14 37\n13 1\n40 15\n31 26\n31 4\n12 5\n28 34\n37 7\n28 34\n11 30\n30 16\n27 18\n11 18\n17 6\n38 22\n31 37\n20 38\n21 23\n11 12\n24 35\n36 8\n13 13\n34 39\n20 15\n17 3\n23 17\n18 23\n26 18\n11 2\n18 30\n25 25\n32 67\n9 38\n37 39\n39 37\n5 10\n27 19\n14 21\n34 8\n7 36\n29 3\n11 21\n32 2\n21 40\n10 33\n36 39\n15 31\n38 16\n4 14\n6 16\n31 18\n15 23\n1 38\n32 24\n13 12\n15 15\n24 11\n24 27\n",
"6 6\n2 1\n3 2\n2 5\n3 5\n5 1\n3 1\n",
"100 1500\n3 3\n3 2\n1 3\n3 1\n2 3\n3 2\n3 2\n2 1\n3 1\n2 3\n3 3\n3 1\n1 1\n3 1\n3 3\n2 2\n2 2\n1 2\n1 1\n3 1\n2 2\n2 3\n2 3\n2 2\n3 3\n3 2\n1 1\n3 3\n2 2\n1 3\n3 3\n3 1\n1 2\n3 3\n3 3\n1 2\n1 1\n3 3\n1 3\n2 1\n1 2\n2 1\n1 3\n1 3\n1 3\n1 1\n1 3\n3 1\n2 3\n1 3\n2 2\n2 1\n2 1\n2 3\n3 2\n1 2\n2 2\n1 3\n1 1\n1 3\n3 3\n1 3\n3 2\n1 3\n2 1\n2 3\n2 3\n2 3\n3 2\n1 3\n1 3\n2 3\n1 3\n2 1\n3 2\n3 3\n1 1\n3 1\n3 3\n1 3\n3 2\n3 2\n2 2\n1 3\n2 2\n3 2\n1 3\n2 2\n2 1\n3 2\n1 3\n3 2\n1 2\n2 2\n1 3\n1 1\n3 3\n2 2\n3 1\n3 2\n",
"100 2500\n3 1\n3 2\n3 2\n3 1\n1 1\n1 2\n3 3\n1 2\n1 2\n3 1\n3 3\n3 2\n1 3\n2 1\n2 3\n2 2\n1 3\n2 2\n2 2\n2 1\n2 3\n1 3\n1 2\n3 1\n2 3\n2 3\n3 1\n2 3\n2 3\n3 1\n1 1\n3 2\n2 3\n3 3\n3 2\n3 1\n3 2\n3 1\n2 1\n1 3\n2 2\n2 2\n3 2\n1 2\n3 1\n3 2\n3 1\n1 2\n3 1\n3 1\n3 1\n2 3\n1 3\n1 3\n2 2\n1 2\n3 3\n3 2\n3 2\n3 3\n1 3\n2 1\n1 2\n3 2\n1 2\n2 3\n1 2\n2 3\n1 3\n3 2\n3 1\n2 3\n1 2\n1 1\n1 1\n3 1\n2 3\n2 1\n2 3\n3 2\n1 1\n3 3\n1 3\n3 2\n3 2\n2 2\n2 2\n2 2\n1 1\n1 2\n1 2\n3 3\n1 1\n3 2\n1 2\n2 2\n3 3\n2 2\n1 2\n2 3\n",
"1 1729\n78 92\n",
"30 2800\n25 12\n43 10\n38 39\n14 8\n35 41\n19 11\n23 5\n28 2\n7 36\n9 36\n38 32\n28 29\n18 31\n22 6\n25 40\n43 25\n36 33\n14 24\n13 40\n1 1\n19 44\n37 18\n7 17\n18 14\n44 35\n15 37\n43 23\n34 29\n3 21\n31 47\n",
"10 30\n12 35\n2 8\n19 7\n7 1\n27 14\n13 3\n14 7\n19 26\n21 17\n17 30\n",
"1 4\n0 1\n",
"8 20\n18 18\n14 15\n9 4\n5 9\n2 7\n9 2\n9 19\n2 11\n",
"2 3\n1 4\n2 3\n",
"50 100\n45 74\n41 31\n84 56\n14 8\n25 94\n71 76\n35 8\n66 67\n27 54\n67 91\n71 20\n71 91\n7 58\n13 34\n47 60\n68 32\n74 58\n78 55\n67 40\n22 67\n27 59\n2 2\n89 62\n90 60\n41 57\n66 24\n65 93\n55 8\n94 2\n82 81\n91 67\n63 30\n24 12\n95 49\n48 63\n30 23\n32 86\n10 98\n89 71\n73 35\n85 60\n22 46\n9 50\n79 75\n24 53\n48 17\n22 61\n26 49\n89 58\n77 85\n",
"1 1729\n68 92\n",
"30 2800\n25 12\n43 10\n38 39\n14 8\n35 41\n19 11\n23 5\n28 2\n7 36\n9 36\n38 32\n28 29\n18 31\n22 6\n25 40\n43 25\n36 33\n14 24\n13 40\n1 1\n19 44\n37 18\n7 17\n18 14\n44 35\n15 51\n43 23\n34 29\n3 21\n31 47\n",
"50 30\n9 35\n1 48\n20 43\n41 39\n28 7\n14 10\n3 45\n35 37\n31 27\n11 16\n40 8\n4 7\n15 33\n29 17\n41 45\n11 24\n6 8\n6 2\n2 42\n19 34\n7 36\n14 15\n26 2\n22 33\n15 22\n49 23\n10 41\n6 17\n21 11\n15 37\n49 26\n49 49\n15 29\n12 49\n22 13\n7 49\n25 32\n7 7\n31 37\n23 14\n5 37\n14 6\n44 21\n8 16\n22 7\n43 44\n36 44\n4 49\n22 46\n4 21\n",
"10 50\n9 7\n2 2\n2 18\n10 9\n6 1\n8 10\n10 5\n7 5\n4 5\n8 1\n",
"10 30\n12 35\n2 8\n19 7\n7 1\n27 14\n13 3\n14 12\n19 26\n21 17\n17 30\n",
"4 6\n2 2\n1 2\n3 1\n5 10\n",
"1 4\n0 2\n",
"30 10\n27 10\n39 39\n87 45\n70 82\n20 50\n45 51\n67 31\n43 96\n87 26\n59 20\n42 22\n69 71\n10 30\n39 59\n42 100\n4 67\n21 55\n83 69\n33 81\n37 43\n57 12\n30 83\n34 12\n35 32\n11 12\n51 96\n100 68\n96 20\n50 61\n55 61\n",
"8 20\n18 18\n14 15\n9 4\n5 9\n2 7\n9 4\n9 19\n2 11\n",
"2 3\n1 4\n2 0\n",
"4 3\n2 2\n1 1\n4 1\n2 3\n",
"50 100\n45 74\n41 31\n84 56\n14 8\n25 94\n71 76\n35 8\n66 67\n27 54\n67 91\n71 20\n71 91\n7 58\n13 34\n47 60\n68 32\n74 58\n78 55\n67 40\n22 67\n27 59\n2 2\n89 62\n90 60\n41 57\n66 24\n65 93\n55 8\n94 2\n82 81\n91 67\n51 30\n24 12\n95 49\n48 63\n30 23\n32 86\n10 98\n89 71\n73 35\n85 60\n22 46\n9 50\n79 75\n24 53\n48 17\n22 61\n26 49\n89 58\n77 85\n"
],
"output": [
"1\n",
"2\n",
"20\n",
"548967810\n",
"4\n",
"62\n",
"964762206\n",
"2\n",
"0\n",
"563987225\n",
"822253206\n",
"0\n",
"440706472\n",
"370055910\n",
"0\n",
"216\n",
"12\n",
"2\n",
"42\n",
"9\n",
"1\n",
"0\n",
"1\n",
"936413338\n",
"65610\n",
"94\n",
"842986379\n",
"4551\n",
"50\n",
"10\n",
"379149793\n",
"1\n",
"771010208\n",
"457432849\n",
"0\n",
"510185509\n",
"3\n",
"1\n",
"0\n",
"599013005\n",
"33450069\n",
"168261943\n",
"240581141\n",
"96\n",
"12\n",
"11\n",
"8\n",
"702229178\n",
"42120\n",
"444126391\n",
"4072\n",
"118\n",
"10\n",
"2\n",
"609777220\n",
"522745070\n",
"20\n",
"339606575\n",
"4\n",
"543868255\n",
"868799599\n",
"654961948\n",
"746061043\n",
"107396603\n",
"6413\n",
"66\n",
"9\n",
"960802671\n",
"800064799\n",
"16\n",
"805415018\n",
"738169119\n",
"0\n",
"0\n",
"1\n",
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"0\n",
"1\n",
"1\n",
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"8\n",
"11\n",
"1\n",
"2\n",
"0\n",
"2\n",
"0\n",
"0\n",
"1\n",
"1\n"
]
} | 2CODEFORCES
|
207_A2. Beaver's Calculator 1.0_38236 | The Smart Beaver from ABBYY has once again surprised us! He has developed a new calculating device, which he called the "Beaver's Calculator 1.0". It is very peculiar and it is planned to be used in a variety of scientific problems.
To test it, the Smart Beaver invited n scientists, numbered from 1 to n. The i-th scientist brought ki calculating problems for the device developed by the Smart Beaver from ABBYY. The problems of the i-th scientist are numbered from 1 to ki, and they must be calculated sequentially in the described order, since calculating each problem heavily depends on the results of calculating of the previous ones.
Each problem of each of the n scientists is described by one integer ai, j, where i (1 ≤ i ≤ n) is the number of the scientist, j (1 ≤ j ≤ ki) is the number of the problem, and ai, j is the number of resource units the calculating device needs to solve this problem.
The calculating device that is developed by the Smart Beaver is pretty unusual. It solves problems sequentially, one after another. After some problem is solved and before the next one is considered, the calculating device allocates or frees resources.
The most expensive operation for the calculating device is freeing resources, which works much slower than allocating them. It is therefore desirable that each next problem for the calculating device requires no less resources than the previous one.
You are given the information about the problems the scientists offered for the testing. You need to arrange these problems in such an order that the number of adjacent "bad" pairs of problems in this list is minimum possible. We will call two consecutive problems in this list a "bad pair" if the problem that is performed first requires more resources than the one that goes after it. Do not forget that the problems of the same scientist must be solved in a fixed order.
Input
The first line contains integer n — the number of scientists. To lessen the size of the input, each of the next n lines contains five integers ki, ai, 1, xi, yi, mi (0 ≤ ai, 1 < mi ≤ 109, 1 ≤ xi, yi ≤ 109) — the number of problems of the i-th scientist, the resources the first problem requires and three parameters that generate the subsequent values of ai, j. For all j from 2 to ki, inclusive, you should calculate value ai, j by formula ai, j = (ai, j - 1 * xi + yi) mod mi, where a mod b is the operation of taking the remainder of division of number a by number b.
To get the full points for the first group of tests it is sufficient to solve the problem with n = 2, 1 ≤ ki ≤ 2000.
To get the full points for the second group of tests it is sufficient to solve the problem with n = 2, 1 ≤ ki ≤ 200000.
To get the full points for the third group of tests it is sufficient to solve the problem with 1 ≤ n ≤ 5000, 1 ≤ ki ≤ 5000.
Output
On the first line print a single number — the number of "bad" pairs in the optimal order.
If the total number of problems does not exceed 200000, also print <image> lines — the optimal order of the problems. On each of these lines print two integers separated by a single space — the required number of resources for the problem and the number of the scientist who offered this problem, respectively. The scientists are numbered from 1 to n in the order of input.
Examples
Input
2
2 1 1 1 10
2 3 1 1 10
Output
0
1 1
2 1
3 2
4 2
Input
2
3 10 2 3 1000
3 100 1 999 1000
Output
2
10 1
23 1
49 1
100 2
99 2
98 2
Note
In the first sample n = 2, k1 = 2, a1, 1 = 1, a1, 2 = 2, k2 = 2, a2, 1 = 3, a2, 2 = 4. We've got two scientists, each of them has two calculating problems. The problems of the first scientist require 1 and 2 resource units, the problems of the second one require 3 and 4 resource units. Let's list all possible variants of the calculating order (each problem is characterized only by the number of resource units it requires): (1, 2, 3, 4), (1, 3, 2, 4), (3, 1, 2, 4), (1, 3, 4, 2), (3, 4, 1, 2), (3, 1, 4, 2).
Sequence of problems (1, 3, 2, 4) has one "bad" pair (3 and 2), (3, 1, 4, 2) has two "bad" pairs (3 and 1, 4 and 2), and (1, 2, 3, 4) has no "bad" pairs. | #include <bits/stdc++.h>
using namespace std;
int *pa = new int[200005];
int *na = new int[200005];
int *p1 = new int[200005];
int *p2 = new int[200005];
int main() {
int m1 = 1, m2 = 1, c1, c2, fs[5005], ls[5005], n, k[5005], x[5005], y[5005],
m[5005], i, j;
long long all = 0, q, nn, xx, yy, ans = 0;
cin >> n;
for (i = 1; i <= n; i++) {
cin >> k[i] >> fs[i] >> x[i] >> y[i] >> m[i];
all += k[i];
}
q = fs[1];
p1[1] = fs[1];
for (i = 2; i <= k[1]; i++) {
xx = x[1];
yy = y[1];
nn = (q * xx + yy) % m[1];
p1[i] = nn;
q = nn;
}
q = fs[2];
p2[1] = fs[2];
for (i = 2; i <= k[2]; i++) {
xx = x[2];
yy = y[2];
nn = (q * xx + yy) % m[2];
p2[i] = nn;
q = nn;
}
q = -1;
for (i = 1; i <= all; i++) {
if (m1 <= k[1])
c1 = p1[m1];
else
c1 = 2000000000;
if (m2 <= k[2])
c2 = p2[m2];
else
c2 = 2000000000;
if ((c1 != 2000000000) &&
(((c1 >= c2) && (c1 >= q) && (c2 < q)) || (c2 == 2000000000) ||
((c1 <= c2) && (c1 >= q)) || ((c1 <= c2) && (c2 < q)))) {
if (c1 < q) ans++;
q = c1;
if (all <= 200000) {
pa[i] = p1[m1];
na[i] = 1;
}
m1++;
} else {
if (c2 < q) ans++;
q = c2;
if (all <= 200000) {
pa[i] = p2[m2];
na[i] = 2;
}
m2++;
}
}
cout << ans << endl;
if (all <= 200000) {
for (i = 1; i <= all; i++) cout << pa[i] << " " << na[i] << endl;
}
}
| 2C++
| {
"input": [
"2\n2 1 1 1 10\n2 3 1 1 10\n",
"2\n3 10 2 3 1000\n3 100 1 999 1000\n",
"2\n199259 641597876 874636940 764816019 656105016\n51285 310517513 469223007 415463849 968409867\n",
"2\n5 737247526 385663770 400009853 926128972\n5 134299091 206672784 206760990 541043536\n",
"2\n76545 44608612 589345778 6920255 654664883\n123456 61295902 391408811 636222520 386531264\n",
"2\n42 677392091 863654695 46248153 938590074\n17 425637526 954080044 368105815 652517923\n",
"2\n99 175270701 829482881 147949455 566425370\n123 100351999 897892314 104698948 684030659\n",
"2\n12 103331584 83190780 257226870 965727680\n23 412354004 294233930 431595244 480491361\n",
"2\n1 123 999 123 19999\n1 456 1925 91285 98259128\n",
"2\n4 1 1 2 4\n3 2 1 2 7\n",
"2\n12 103331584 83190780 257226870 965727680\n23 412354004 294233930 431595244 480491361\n",
"2\n200000 178462071 1 453732541 491259366\n200000 231385928 1 242542063 254641752\n",
"2\n99 175270701 829482881 147949455 566425370\n123 100351999 897892314 104698948 684030659\n",
"2\n200000 596139600 721828529 162089919 884793357\n200000 82866203 974141290 760973131 266072600\n",
"2\n95823 569910999 797163896 149950733 920802531\n129893 50778580 468222081 947168081 211361337\n",
"2\n200000 361194717 1 31742964 989672650\n10000 868472256 1 7588303 965600016\n",
"2\n200000 364522930 471220742 3323454 898470369\n1 455449111 241916205 932024383 843764754\n",
"2\n200000 244644091 1 28513600 392966151\n200000 164724505 1 79354821 795427903\n",
"2\n1 644201782 61555067 825933028 769955674\n200000 513059522 978111349 145745825 792683341\n",
"2\n199581 189325457 172437388 975655236 197578293\n420 138568681 827248635 161099789 339689120\n",
"2\n77777 145184541 194793384 339601722 348499667\n122265 175505092 592656277 474753343 412812910\n",
"2\n42 677392091 863654695 46248153 938590074\n17 425637526 954080044 368105815 652517923\n",
"2\n199994 79428345 1 876640837 876641858\n200000 73442706 1 620545151 620545186\n",
"2\n123456 508797064 754997283 381963459 812482957\n192929 127476548 756426200 227737142 482639687\n",
"2\n10000 794234172 1 832139239 832255495\n200000 326347845 1 723997111 803708338\n",
"2\n200000 45440119 1 389 465390917\n199990 18589376 1 407 356819626\n",
"2\n2000 271409792 1 19778541 957727212\n2000 667886041 1 44842085 791543289\n",
"2\n1999 358871397 530769598 305679662 803927388\n2000 715959740 14972813 580734726 891135984\n",
"2\n199 436532744 984089024 369858140 969252147\n2000 207924341 347625287 885830816 733509605\n",
"2\n1987 476389660 61264430 754400667 728121495\n1234 863799353 122821586 907438041 990713389\n",
"2\n1987 476389660 61264430 754400667 728121495\n1234 863799353 122821586 907438041 990713389\n",
"2\n2000 123 987654321 999999942 124\n2000 128 987654231 999994242 129\n",
"2\n2000 4234567 1 12345678 12345678\n2000 1234567 1 12345678 12345678\n",
"2\n1234 209084967 1 12085265 503516736\n1789 617525355 1 52057914 823372076\n",
"2\n2000 1234567 1 12345678 12345678\n2000 1234567 1 12345678 12345678\n",
"2\n199 436532744 984089024 369858140 969252147\n2000 207924341 347625287 885830816 733509605\n",
"2\n924 370426904 394349353 790033845 431931588\n444 747017304 214654349 731107589 923664607\n",
"2\n2000 1234567 1 12345678 12345678\n2000 1234567 1 12345678 12345678\n",
"2\n1234 209084967 1 12085265 503516736\n1789 617525355 1 52057914 823372076\n",
"2\n2000 123 987654321 999999942 124\n2000 128 987654231 999994242 129\n",
"2\n2000 46170716 798614358 808143265 229385097\n1999 478239914 103577644 424246364 595644479\n",
"2\n2000 23476337 51578965 761670528 741348701\n123 42464463 82411126 377029312 470836756\n",
"2\n2000 271409792 1 19778541 957727212\n2000 667886041 1 44842085 791543289\n",
"2\n2000 164790513 537018007 475630969 457584037\n1 123 1 1 1000\n",
"2\n2000 46170716 798614358 808143265 229385097\n1999 478239914 103577644 424246364 595644479\n",
"2\n2000 358175848 101930911 130017820 489406814\n2000 38616403 135262480 885795952 675204408\n",
"2\n1567 212356557 218777480 599320863 679473225\n1765 123442486 564740151 381944659 180451814\n",
"2\n924 370426904 394349353 790033845 431931588\n444 747017304 214654349 731107589 923664607\n",
"2\n1 12323 1 1 102100\n2000 164290513 537018007 475630969 457584037\n",
"2\n1 12323 1 1 102100\n2000 164290513 537018007 475630969 457584037\n",
"2\n2000 641449478 1 708087562 744141132\n2000 119553728 1 366448636 368015326\n",
"2\n1234 757164650 63227802 21015842 834095005\n1234 89432840 284012356 456549685 554006644\n",
"2\n2000 358175848 101930911 130017820 489406814\n2000 38616403 135262480 885795952 675204408\n",
"2\n1999 358871397 530769598 305679662 803927388\n2000 715959740 14972813 580734726 891135984\n",
"2\n1994 73930424 1 667145849 720279733\n942 194368514 1 486729813 515120682\n",
"2\n2000 164790513 537018007 475630969 457584037\n1 123 1 1 1000\n",
"2\n2000 4234567 1 12345678 12345678\n2000 1234567 1 12345678 12345678\n",
"2\n2000 23476337 51578965 761670528 741348701\n123 42464463 82411126 377029312 470836756\n",
"2\n1234 757164650 63227802 21015842 834095005\n1234 89432840 284012356 456549685 554006644\n",
"2\n2000 641449478 1 708087562 744141132\n2000 119553728 1 366448636 368015326\n",
"2\n1567 212356557 218777480 599320863 679473225\n1765 123442486 564740151 381944659 180451814\n",
"2\n1994 73930424 1 667145849 720279733\n942 194368514 1 486729813 515120682\n",
"2\n199259 641597876 874636940 764816019 726929685\n51285 310517513 469223007 415463849 968409867\n",
"2\n5 737247526 385663770 400009853 926128972\n5 134299091 206672784 206760990 779942281\n",
"2\n76545 44608612 589345778 6920255 654664883\n123456 61295902 670056773 636222520 386531264\n",
"2\n63 677392091 863654695 46248153 938590074\n17 425637526 954080044 368105815 652517923\n",
"2\n12 103331584 83190780 257226870 965727680\n9 412354004 294233930 431595244 480491361\n",
"2\n1 123 1856 123 19999\n1 456 1925 91285 98259128\n",
"2\n4 1 0 2 4\n3 2 1 2 7\n",
"2\n12 103331584 83190780 257226870 965727680\n23 412354004 294233930 668889337 480491361\n",
"2\n200000 178462071 1 260091107 491259366\n200000 231385928 1 242542063 254641752\n",
"2\n99 175270701 829482881 147949455 566425370\n123 66394663 897892314 104698948 684030659\n",
"2\n200000 675809358 721828529 162089919 884793357\n200000 82866203 974141290 760973131 266072600\n",
"2\n95823 569910999 797163896 149950733 920802531\n129893 50778580 468222081 947168081 280108984\n",
"2\n200000 385756680 1 28513600 392966151\n200000 164724505 1 79354821 795427903\n",
"2\n1 644201782 61555067 825933028 769955674\n200000 513059522 978111349 145745825 879866717\n",
"2\n77777 145184541 194793384 339601722 348499667\n122265 175505092 592656277 474753343 577300547\n",
"2\n42 677392091 863654695 46248153 938590074\n17 425637526 954080044 368105815 158566860\n",
"2\n199994 79428345 1 876640837 876641858\n200000 73442706 1 793341877 620545186\n",
"2\n123456 508797064 754997283 381963459 812482957\n192929 31097924 756426200 227737142 482639687\n",
"2\n10000 794234172 2 832139239 832255495\n200000 326347845 1 723997111 803708338\n",
"2\n200000 45440119 1 705 465390917\n199990 18589376 1 407 356819626\n",
"2\n2000 271409792 1 14970168 957727212\n2000 667886041 1 44842085 791543289\n",
"2\n1999 358871397 530769598 305679662 803927388\n2000 715959740 14972813 583010895 891135984\n",
"2\n199 436532744 242864909 369858140 969252147\n2000 207924341 347625287 885830816 733509605\n",
"2\n1987 476389660 61264430 1293094465 728121495\n1234 863799353 122821586 907438041 990713389\n",
"2\n3400 476389660 61264430 754400667 728121495\n1234 863799353 122821586 907438041 990713389\n",
"2\n2000 123 987654321 999999942 124\n2000 128 588705209 999994242 129\n",
"2\n2000 4234567 1 19643156 12345678\n2000 1234567 1 12345678 12345678\n",
"2\n1234 286239089 1 12085265 503516736\n1789 617525355 1 52057914 823372076\n",
"2\n2000 1234567 1 12345678 12345678\n2000 701927 1 12345678 12345678\n",
"2\n924 370426904 394349353 790033845 431931588\n444 747017304 51706799 731107589 923664607\n",
"2\n2000 122371 1 12345678 12345678\n2000 1234567 1 12345678 12345678\n",
"2\n1234 209084967 1 12085265 503516736\n1789 617525355 1 16785626 823372076\n",
"2\n2000 123 987654321 999999942 124\n2000 128 987654231 999994242 85\n",
"2\n2000 86979745 798614358 808143265 229385097\n1999 478239914 103577644 424246364 595644479\n",
"2\n2000 23476337 51578965 761670528 986282962\n123 42464463 82411126 377029312 470836756\n",
"2\n2000 164790513 537018007 475630969 457584037\n1 123 1 1 1010\n",
"2\n2000 9783128 798614358 808143265 229385097\n1999 478239914 103577644 424246364 595644479\n",
"2\n2000 358175848 101930911 130017820 489406814\n2000 67329947 135262480 885795952 675204408\n",
"2\n1567 212356557 382447072 599320863 679473225\n1765 123442486 564740151 381944659 180451814\n",
"2\n924 370426904 394349353 59947301 431931588\n444 747017304 214654349 731107589 923664607\n",
"2\n1 12323 1 0 102100\n2000 164290513 537018007 475630969 457584037\n",
"2\n2000 641449478 1 708087562 744141132\n2608 119553728 1 366448636 368015326\n",
"2\n3600 358175848 101930911 130017820 489406814\n2000 38616403 135262480 885795952 675204408\n",
"2\n1999 358871397 530769598 537462076 803927388\n2000 715959740 14972813 580734726 891135984\n",
"2\n1994 73930424 1 207082266 720279733\n942 194368514 1 486729813 515120682\n",
"2\n2000 164790513 953968058 475630969 457584037\n1 123 1 1 1000\n",
"2\n2000 4234567 1 12345678 16360285\n2000 1234567 1 12345678 12345678\n",
"2\n1234 757164650 63227802 21015842 834095005\n1234 89432840 284012356 553732343 554006644\n",
"2\n2000 641449478 1 708087562 744141132\n2000 119553728 1 149762568 368015326\n",
"2\n1567 331983163 218777480 599320863 679473225\n1765 123442486 564740151 381944659 180451814\n",
"2\n1994 73930424 1 667145849 720279733\n942 194368514 1 509763782 515120682\n",
"2\n2 1 1 1 10\n2 4 1 1 10\n",
"2\n3 4 2 3 1000\n3 100 1 999 1000\n",
"2\n199259 641597876 874636940 764816019 989589230\n51285 310517513 469223007 415463849 968409867\n",
"2\n5 737247526 64488468 400009853 926128972\n5 134299091 206672784 206760990 779942281\n",
"2\n76545 44608612 589345778 6920255 654664883\n123456 61295902 851986123 636222520 386531264\n",
"2\n63 677392091 863654695 46248153 938590074\n17 425637526 1334710846 368105815 652517923\n",
"2\n12 103331584 15201938 257226870 965727680\n9 412354004 294233930 431595244 480491361\n",
"2\n1 123 1856 123 19999\n1 782 1925 91285 98259128\n",
"2\n12 103331584 83190780 257226870 965727680\n23 412354004 233497602 668889337 480491361\n",
"2\n99 175270701 829482881 147949455 566425370\n123 66394663 939266757 104698948 684030659\n",
"2\n1 644201782 61555067 825933028 769955674\n200000 381960549 978111349 145745825 879866717\n",
"2\n1 12323 1 2 102100\n2000 164290513 537018007 475630969 457584037\n",
"2\n4 1 0 2 8\n3 2 1 2 7\n",
"2\n200000 344502885 1 260091107 491259366\n200000 231385928 1 242542063 254641752\n",
"2\n200000 675809358 721828529 162089919 884793357\n200000 41233491 974141290 760973131 266072600\n",
"2\n95823 569910999 1411289731 149950733 920802531\n129893 50778580 468222081 947168081 280108984\n",
"2\n77777 145184541 194793384 339601722 308042632\n122265 175505092 592656277 474753343 577300547\n"
],
"output": [
"0\n1 1\n2 1\n3 2\n4 2\n",
"2\n10 1\n23 1\n49 1\n100 2\n99 2\n98 2\n",
"99509\n",
"3\n134299091 2\n459727998 2\n737247526 1\n323142350 2\n639125725 1\n35294494 2\n347009055 1\n369253646 2\n290041467 1\n865957427 1\n",
"61685\n",
"25\n425637526 2\n677392091 1\n130893272 1\n192754308 2\n289379059 2\n458113797 2\n562166711 2\n626209451 1\n3245264 1\n399285321 2\n566464756 2\n830856275 1\n294323562 2\n828088550 1\n39058130 2\n162689471 1\n639212989 2\n112917878 1\n445445886 2\n446914601 1\n64945519 2\n146314124 1\n932853419 1\n4297050 2\n367078241 2\n454613102 1\n208719803 2\n337450683 2\n366280235 1\n437432945 2\n910608668 1\n224756063 1\n648770822 1\n811883969 1\n366173540 1\n292030667 1\n707156270 1\n461552111 1\n120796676 1\n108378305 1\n931057874 1\n596821535 1\n446490782 1\n111372587 1\n740465288 1\n130864931 1\n340448228 1\n871488053 1\n247978394 1\n628920593 1\n187239968 1\n623339621 1\n167025806 1\n721381157 1\n524115998 1\n509057837 1\n567641798 1\n284501339 1\n41858036 1\n",
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"99436\n",
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"61666\n",
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"0\n123 1\n456 2\n",
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2\n19 1\n61 1\n76 2\n119 1\n23 2\n50 2\n81 1\n123 1\n17 2\n29 2\n57 1\n71 2\n19 1\n48 2\n61 1\n119 1\n10 2\n47 2\n49 2\n56 2\n81 1\n123 1\n38 2\n57 1\n60 2\n19 1\n52 2\n61 1\n119 1\n24 2\n81 1\n123 1\n11 2\n57 1\n8 2\n19 1\n40 2\n61 1\n67 2\n119 1\n34 2\n46 2\n81 1\n123 1\n3 2\n57 1\n65 2\n19 1\n27 2\n61 1\n64 2\n66 2\n73 2\n119 1\n55 2\n77 2\n81 1\n123 1\n57 1\n69 2\n19 1\n41 2\n61 1\n119 1\n28 2\n81 1\n123 1\n25 2\n57 1\n57 2\n84 2\n19 1\n51 2\n61 1\n63 2\n119 1\n20 2\n81 1\n82 2\n123 1\n44 2\n57 1\n81 2\n83 2\n5 2\n19 1\n61 1\n72 2\n119 1\n9 2\n81 1\n123 1\n1 2\n57 1\n58 2\n19 1\n45 2\n61 1\n119 1\n42 2\n74 2\n81 1\n123 1\n16 2\n57 1\n68 2\n80 2\n19 1\n37 2\n61 1\n119 1\n14 2\n61 2\n81 1\n123 1\n13 2\n15 2\n22 2\n57 1\n4 2\n19 1\n26 2\n61 1\n119 1\n18 2\n75 2\n81 1\n123 1\n57 1\n62 2\n19 1\n59 2\n61 1\n119 1\n6 2\n33 2\n81 1\n123 1\n0 2\n12 2\n54 2\n57 1\n19 1\n31 2\n61 1\n78 2\n119 1\n30 2\n32 2\n39 2\n81 1\n123 1\n21 2\n43 2\n57 1\n19 1\n35 2\n61 1\n119 1\n7 2\n79 2\n81 1\n123 1\n57 1\n76 2\n19 1\n23 2\n50 2\n61 1\n119 1\n17 2\n29 2\n71 2\n81 1\n123 1\n48 2\n57 1\n10 2\n19 1\n47 2\n49 2\n56 2\n61 1\n119 1\n38 2\n60 2\n81 1\n123 1\n52 2\n57 1\n19 1\n24 2\n61 1\n119 1\n11 2\n81 1\n123 1\n8 2\n40 2\n57 1\n67 2\n19 1\n34 2\n46 2\n61 1\n119 1\n3 2\n65 2\n81 1\n123 1\n27 2\n57 1\n64 2\n66 2\n73 2\n19 1\n55 2\n61 1\n77 2\n119 1\n69 2\n81 1\n123 1\n41 2\n57 1\n19 1\n28 2\n61 1\n119 1\n25 2\n57 2\n81 1\n84 2\n123 1\n51 2\n57 1\n63 2\n19 1\n20 2\n61 1\n82 2\n119 1\n44 2\n81 1\n81 2\n83 2\n123 1\n5 2\n57 1\n72 2\n9 2\n19 1\n61 1\n119 1\n1 2\n58 2\n81 1\n123 1\n45 2\n57 1\n19 1\n42 2\n61 1\n74 2\n119 1\n16 2\n68 2\n80 2\n81 1\n123 1\n37 2\n57 1\n14 2\n19 1\n61 1\n61 2\n119 1\n13 2\n15 2\n22 2\n81 1\n123 1\n4 2\n26 2\n57 1\n18 2\n19 1\n61 1\n75 2\n119 1\n62 2\n81 1\n123 1\n57 1\n59 2\n6 2\n19 1\n33 2\n61 1\n119 1\n0 2\n12 2\n54 2\n81 1\n123 1\n31 2\n57 1\n78 2\n19 1\n30 2\n32 2\n39 2\n61 1\n119 1\n21 2\n43 2\n81 1\n123 1\n35 2\n57 1\n7 2\n19 1\n61 1\n79 2\n119 1\n76 2\n81 1\n123 1\n23 2\n50 2\n57 1\n17 2\n19 1\n29 2\n61 1\n71 2\n119 1\n48 2\n81 1\n123 1\n10 2\n47 2\n49 2\n56 2\n57 1\n19 1\n38 2\n60 2\n61 1\n119 1\n52 2\n81 1\n123 1\n24 2\n57 1\n11 2\n19 1\n61 1\n119 1\n8 2\n40 2\n67 2\n81 1\n123 1\n34 2\n46 2\n57 1\n3 2\n19 1\n61 1\n65 2\n119 1\n27 2\n64 2\n66 2\n73 2\n81 1\n123 1\n55 2\n57 1\n77 2\n19 1\n61 1\n69 2\n119 1\n41 2\n81 1\n123 1\n28 2\n57 1\n19 1\n25 2\n57 2\n61 1\n84 2\n119 1\n51 2\n63 2\n81 1\n123 1\n20 2\n57 1\n82 2\n19 1\n44 2\n61 1\n81 2\n83 2\n119 1\n5 2\n72 2\n81 1\n123 1\n9 2\n57 1\n1 2\n19 1\n58 2\n61 1\n119 1\n45 2\n81 1\n123 1\n42 2\n57 1\n74 2\n16 2\n19 1\n61 1\n68 2\n80 2\n119 1\n37 2\n81 1\n123 1\n14 2\n57 1\n61 2\n13 2\n15 2\n19 1\n22 2\n61 1\n119 1\n4 2\n26 2\n81 1\n123 1\n18 2\n57 1\n75 2\n19 1\n61 1\n62 2\n119 1\n59 2\n81 1\n123 1\n6 2\n33 2\n57 1\n0 2\n12 2\n19 1\n54 2\n61 1\n119 1\n31 2\n78 2\n81 1\n123 1\n30 2\n32 2\n39 2\n57 1\n19 1\n21 2\n43 2\n61 1\n119 1\n35 2\n81 1\n123 1\n7 2\n57 1\n79 2\n19 1\n61 1\n76 2\n119 1\n23 2\n50 2\n81 1\n123 1\n17 2\n29 2\n57 1\n71 2\n19 1\n48 2\n61 1\n119 1\n10 2\n47 2\n49 2\n56 2\n81 1\n123 1\n38 2\n57 1\n60 2\n19 1\n52 2\n61 1\n119 1\n24 2\n81 1\n123 1\n11 2\n57 1\n8 2\n19 1\n40 2\n61 1\n67 2\n119 1\n34 2\n46 2\n81 1\n123 1\n3 2\n57 1\n65 2\n19 1\n27 2\n61 1\n64 2\n66 2\n73 2\n119 1\n55 2\n77 2\n81 1\n123 1\n57 1\n69 2\n19 1\n41 2\n61 1\n119 1\n28 2\n81 1\n123 1\n25 2\n57 1\n57 2\n84 2\n19 1\n51 2\n61 1\n63 2\n119 1\n20 2\n81 1\n82 2\n123 1\n44 2\n57 1\n81 2\n83 2\n5 2\n19 1\n61 1\n72 2\n119 1\n9 2\n81 1\n123 1\n1 2\n57 1\n58 2\n19 1\n45 2\n61 1\n119 1\n42 2\n74 2\n81 1\n123 1\n16 2\n57 1\n68 2\n80 2\n19 1\n37 2\n61 1\n119 1\n14 2\n61 2\n81 1\n123 1\n13 2\n15 2\n22 2\n57 1\n4 2\n19 1\n26 2\n61 1\n119 1\n18 2\n75 2\n81 1\n123 1\n57 1\n62 2\n19 1\n59 2\n61 1\n119 1\n6 2\n33 2\n81 1\n123 1\n0 2\n12 2\n54 2\n57 1\n19 1\n31 2\n61 1\n78 2\n119 1\n30 2\n32 2\n39 2\n81 1\n123 1\n21 2\n43 2\n57 1\n19 1\n35 2\n61 1\n119 1\n7 2\n79 2\n81 1\n123 1\n57 1\n76 2\n19 1\n23 2\n50 2\n61 1\n119 1\n17 2\n29 2\n71 2\n81 1\n123 1\n48 2\n57 1\n10 2\n19 1\n47 2\n49 2\n56 2\n61 1\n119 1\n38 2\n60 2\n81 1\n123 1\n52 2\n57 1\n19 1\n24 2\n61 1\n119 1\n11 2\n81 1\n123 1\n8 2\n40 2\n57 1\n67 2\n19 1\n34 2\n46 2\n61 1\n119 1\n3 2\n65 2\n81 1\n123 1\n27 2\n57 1\n64 2\n66 2\n73 2\n19 1\n55 2\n61 1\n77 2\n119 1\n69 2\n81 1\n123 1\n41 2\n57 1\n19 1\n28 2\n61 1\n119 1\n25 2\n57 2\n81 1\n84 2\n123 1\n51 2\n57 1\n63 2\n19 1\n20 2\n61 1\n82 2\n119 1\n44 2\n81 1\n81 2\n83 2\n123 1\n5 2\n57 1\n72 2\n9 2\n19 1\n61 1\n119 1\n1 2\n58 2\n81 1\n123 1\n45 2\n57 1\n19 1\n42 2\n61 1\n74 2\n119 1\n16 2\n68 2\n80 2\n81 1\n123 1\n37 2\n57 1\n14 2\n19 1\n61 1\n61 2\n119 1\n13 2\n15 2\n22 2\n81 1\n123 1\n4 2\n26 2\n57 1\n18 2\n19 1\n61 1\n75 2\n119 1\n62 2\n81 1\n123 1\n57 1\n59 2\n6 2\n19 1\n33 2\n61 1\n119 1\n0 2\n12 2\n54 2\n81 1\n123 1\n31 2\n57 1\n78 2\n19 1\n30 2\n32 2\n39 2\n61 1\n119 1\n21 2\n43 2\n81 1\n123 1\n35 2\n57 1\n7 2\n19 1\n61 1\n79 2\n119 1\n76 2\n81 1\n123 1\n23 2\n50 2\n57 1\n17 2\n19 1\n29 2\n61 1\n71 2\n119 1\n48 2\n81 1\n123 1\n10 2\n47 2\n49 2\n56 2\n57 1\n19 1\n38 2\n60 2\n61 1\n119 1\n52 2\n81 1\n123 1\n24 2\n57 1\n11 2\n19 1\n61 1\n119 1\n8 2\n40 2\n67 2\n81 1\n123 1\n34 2\n46 2\n57 1\n3 2\n19 1\n61 1\n65 2\n119 1\n27 2\n64 2\n66 2\n73 2\n81 1\n123 1\n55 2\n57 1\n77 2\n19 1\n61 1\n69 2\n119 1\n41 2\n81 1\n123 1\n28 2\n57 1\n19 1\n25 2\n57 2\n61 1\n84 2\n119 1\n51 2\n63 2\n81 1\n123 1\n20 2\n57 1\n82 2\n19 1\n44 2\n61 1\n81 2\n83 2\n119 1\n5 2\n72 2\n81 1\n123 1\n9 2\n57 1\n1 2\n19 1\n58 2\n61 1\n119 1\n45 2\n81 1\n123 1\n42 2\n57 1\n74 2\n16 2\n19 1\n61 1\n68 2\n80 2\n119 1\n37 2\n81 1\n123 1\n14 2\n57 1\n61 2\n13 2\n15 2\n19 1\n22 2\n61 1\n119 1\n4 2\n26 2\n81 1\n123 1\n18 2\n57 1\n75 2\n19 1\n61 1\n62 2\n119 1\n59 2\n81 1\n123 1\n6 2\n33 2\n57 1\n0 2\n12 2\n19 1\n54 2\n61 1\n119 1\n31 2\n78 2\n81 1\n123 1\n30 2\n32 2\n39 2\n57 1\n19 1\n21 2\n43 2\n61 1\n119 1\n35 2\n81 1\n123 1\n7 2\n57 1\n79 2\n19 1\n61 1\n76 2\n119 1\n23 2\n50 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2\n19 1\n48 2\n61 1\n119 1\n10 2\n47 2\n49 2\n56 2\n81 1\n123 1\n38 2\n57 1\n60 2\n19 1\n52 2\n61 1\n119 1\n24 2\n81 1\n123 1\n11 2\n57 1\n8 2\n19 1\n40 2\n61 1\n67 2\n119 1\n34 2\n46 2\n81 1\n123 1\n3 2\n57 1\n65 2\n19 1\n27 2\n61 1\n64 2\n66 2\n73 2\n119 1\n55 2\n77 2\n81 1\n123 1\n57 1\n69 2\n19 1\n41 2\n61 1\n119 1\n28 2\n81 1\n123 1\n25 2\n57 1\n57 2\n84 2\n19 1\n51 2\n61 1\n63 2\n119 1\n20 2\n81 1\n82 2\n123 1\n44 2\n57 1\n81 2\n83 2\n5 2\n19 1\n61 1\n72 2\n119 1\n9 2\n81 1\n123 1\n1 2\n57 1\n58 2\n19 1\n45 2\n61 1\n119 1\n42 2\n74 2\n81 1\n123 1\n16 2\n57 1\n68 2\n80 2\n19 1\n37 2\n61 1\n119 1\n14 2\n61 2\n81 1\n123 1\n13 2\n15 2\n22 2\n57 1\n4 2\n19 1\n26 2\n61 1\n119 1\n18 2\n75 2\n81 1\n123 1\n57 1\n62 2\n19 1\n59 2\n61 1\n119 1\n6 2\n33 2\n81 1\n123 1\n0 2\n12 2\n54 2\n57 1\n19 1\n31 2\n61 1\n78 2\n119 1\n30 2\n32 2\n39 2\n81 1\n123 1\n21 2\n43 2\n57 1\n19 1\n35 2\n61 1\n119 1\n7 2\n79 2\n81 1\n123 1\n57 1\n76 2\n19 1\n23 2\n50 2\n61 1\n119 1\n17 2\n29 2\n71 2\n81 1\n123 1\n48 2\n57 1\n10 2\n19 1\n47 2\n49 2\n56 2\n61 1\n119 1\n38 2\n60 2\n81 1\n123 1\n52 2\n57 1\n19 1\n24 2\n61 1\n119 1\n11 2\n81 1\n123 1\n8 2\n40 2\n57 1\n67 2\n19 1\n34 2\n46 2\n61 1\n119 1\n3 2\n65 2\n81 1\n123 1\n27 2\n57 1\n64 2\n66 2\n73 2\n19 1\n55 2\n61 1\n77 2\n119 1\n69 2\n81 1\n123 1\n41 2\n57 1\n19 1\n28 2\n61 1\n119 1\n25 2\n57 2\n81 1\n84 2\n123 1\n51 2\n57 1\n63 2\n19 1\n20 2\n61 1\n82 2\n119 1\n44 2\n81 1\n81 2\n83 2\n123 1\n5 2\n57 1\n72 2\n9 2\n19 1\n61 1\n119 1\n1 2\n58 2\n81 1\n123 1\n45 2\n57 1\n19 1\n42 2\n61 1\n74 2\n119 1\n16 2\n68 2\n80 2\n81 1\n123 1\n37 2\n57 1\n14 2\n19 1\n61 1\n61 2\n119 1\n13 2\n15 2\n22 2\n81 1\n123 1\n4 2\n26 2\n57 1\n18 2\n19 1\n61 1\n75 2\n119 1\n62 2\n81 1\n123 1\n57 1\n59 2\n6 2\n19 1\n33 2\n61 1\n119 1\n0 2\n12 2\n54 2\n81 1\n123 1\n31 2\n57 1\n78 2\n19 1\n30 2\n32 2\n39 2\n61 1\n119 1\n21 2\n43 2\n81 1\n123 1\n35 2\n57 1\n7 2\n19 1\n61 1\n79 2\n119 1\n76 2\n81 1\n123 1\n23 2\n50 2\n57 1\n17 2\n19 1\n29 2\n61 1\n71 2\n119 1\n48 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"0\n1 1\n2 1\n4 2\n5 2\n",
"2\n4 1\n11 1\n25 1\n100 2\n99 2\n98 2\n",
"99714\n",
"2\n134299091 2\n610343448 2\n737247526 1\n455187265 1\n492206737 2\n561925173 1\n617242176 2\n50361429 1\n87705191 2\n319951493 1\n",
"62431\n",
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"0\n123 1\n782 2\n",
"12\n103331584 1\n412354004 2\n633655350 1\n964448030 1\n64380451 2\n234949310 1\n43340179 2\n97212919 2\n114688830 1\n460449985 2\n77046910 1\n240895870 1\n246687230 1\n426952849 2\n948711230 1\n335319907 2\n366685510 2\n428623870 1\n461190577 2\n857782270 1\n444646138 2\n563490110 1\n248799847 2\n431621842 2\n143317768 2\n197151880 2\n318356221 2\n389618221 2\n339536353 2\n234519475 2\n77490328 2\n432377752 2\n99587209 2\n69089404 2\n234266062 2\n",
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"99836\n",
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2\n96143500 2\n180989375 2\n324727079 2\n224794368 2\n362316337 2\n252133268 2\n167983888 2\n274019775 2\n330601914 2\n102813312 2\n268318898 2\n46802867 2\n407568689 2\n399059395 2\n61173283 2\n395451195 2\n120786714 2\n141421878 2\n311739556 2\n378896778 2\n98938048 2\n427707606 2\n276933848 2\n53816645 2\n279389925 2\n12952978 2\n406504798 2\n221155470 2\n423251881 2\n112566654 2\n429085050 2\n131199 2\n199034287 2\n72789441 2\n188511992 2\n442836898 2\n49951805 2\n231374943 2\n434782137 2\n319480292 2\n135548022 2\n410290952 2\n68168415 2\n340995580 2\n72184935 2\n288301915 2\n223131688 2\n27260084 2\n278313234 2\n289547304 2\n407468914 2\n230223485 2\n197373659 2\n293906493 2\n69816197 2\n123502418 2\n448923848 2\n362690922 2\n166195756 2\n53716868 2\n409270112 2\n76598459 2\n62772164 2\n208281156 2\n318584860 2\n194802336 2\n313707762 2\n57332808 2\n175638753 2\n161472708 2\n7008386 2\n338144597 2\n377764280 2\n20535003 2\n16146759 2\n453683754 2\n106412901 2\n290925112 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2\n49879395 2\n248952333 2\n117181042 2\n130719226 2\n250290119 2\n114090878 2\n229136241 2\n43654322 2\n228014092 2\n206476355 2\n261639101 2\n262003052 2\n175360862 2\n30060318 2\n93556329 2\n144919871 2\n112806182 2\n287208713 2\n401297386 2\n257584979 2\n89566276 2\n435431548 2\n334544804 2\n166069481 2\n228830195 2\n119589438 2\n21806238 2\n71298586 2\n236279390 2\n402889519 2\n338476744 2\n294608487 2\n134235483 2\n291987535 2\n12018377 2\n230455745 2\n200458056 2\n141405525 2\n409109189 2\n391501781 2\n273024186 2\n77790220 2\n11966663 2\n114031314 2\n243089741 2\n383178183 2\n284198499 2\n436766378 2\n265250301 2\n103016344 2\n356731873 2\n256864135 2\n367365591 2\n67612334 2\n121783694 2\n151548888 2\n301479589 2\n126381415 2\n175408152 2\n155141885 2\n171493891 2\n14348956 2\n311055100 2\n84050687 2\n122515756 2\n47904994 2\n379911928 2\n204247260 2\n200071397 2\n237730809 2\n417398503 2\n148704175 2\n349034541 2\n356527976 2\n95672660 2\n121818770 2\n148279315 2\n228021202 2\n323301397 2\n116893958 2\n66943678 2\n188234149 2\n5998735 2\n47481080 2\n359652141 2\n170683241 2\n380175281 2\n9129141 2\n306386360 2\n292668166 2\n307729786 2\n322396579 2\n13302125 2\n370345818 2\n228181574 2\n168348157 2\n280258010 2\n281928750 2\n237131403 2\n210978644 2\n80030267 2\n167119470 2\n265964461 2\n143628506 2\n308047570 2\n86133917 2\n33450287 2\n192893536 2\n425519971 2\n315448055 2\n13788133 2\n7619925 2\n187356507 2\n176073093 2\n133196745 2\n304825478 2\n209372146 2\n144747730 2\n253554083 2\n329263573 2\n405701715 2\n398408167 2\n311140973 2\n112116938 2\n372433046 2\n152806487 2\n296432075 2\n335630975 2\n197769890 2\n34872555 2\n2970270 2\n417376855 2\n162932661 2\n229058553 2\n413299981 2\n165756595 2\n128662430 2\n243772775 2\n288592036 2\n381086627 2\n214963213 2\n251214371 2\n48914853 2\n262231836 2\n446723887 2\n70346052 2\n29953508 2\n274434683 2\n172377712 2\n136687564 2\n396301426 2\n228592769 2\n213497210 2\n374468591 2\n135539854 2\n447788458 2\n268433211 2\n84585249 2\n78505407 2\n181307429 2\n29186578 2\n430588578 2\n391768248 2\n339908667 2\n128819559 2\n104267656 2\n174499336 2\n37859670 2\n34216618 2\n44531459 2\n211180140 2\n332803201 2\n22689855 2\n4548609 2\n242271018 2\n96216498 2\n197014571 2\n9433528 2\n233697670 2\n29307446 2\n427410204 2\n146466107 2\n442383673 2\n385761641 2\n66057221 2\n251439567 2\n386048569 2\n92902448 2\n145222171 2\n364427533 2\n42973184 2\n384259186 2\n254023137 2\n370415228 2\n309977461 2\n101023521 2\n51262417 2\n113486528 2\n365856485 2\n449806515 2\n335035550 2\n27415034 2\n18953471 2\n60142884 2\n226479392 2\n143934710 2\n427910715 2\n75585995 2\n82945130 2\n411741469 2\n273930268 2\n375016030 2\n262438500 2\n303788555 2\n255893984 2\n64775365 2\n313056598 2\n357650171 2\n383724988 2\n384204235 2\n172066610 2\n353254846 2\n262517849 2\n89764410 2\n402690913 2\n400274573 2\n36532867 2\n305424770 2\n54416128 2\n196048956 2\n358278140 2\n303390474 2\n446559299 2\n283196856 2\n211523191 2\n191074247 2\n353069907 2\n101463867 2\n300843720 2\n26067656 2\n426409037 2\n209901606 2\n248079223 2\n163370321 2\n353157678 2\n350057005 2\n310166778 2\n260130043 2\n338771460 2\n299594050 2\n227428388 2\n269473450 2\n330286656 2\n109891951 2\n368195721 2\n441476549 2\n141049788 2\n451544197 2\n174963966 2\n87668461 2\n59061611 2\n315932593 2\n24639812 2\n176279362 2\n187141816 2\n117094776 2\n817281 2\n157233127 2\n8000595 2\n248383373 2\n25776258 2\n414930622 2\n140677775 2\n301588010 2\n247682408 2\n248953516 2\n282839967 2\n262832159 2\n280648316 2\n230596635 2\n62114410 2\n57290510 2\n317159384 2\n434858451 2\n170144696 2\n229252687 2\n208001024 2\n175836093 2\n204756999 2\n96239171 2\n152646749 2\n20694188 2\n292966788 2\n339825083 2\n264247949 2\n299509015 2\n415343632 2\n219510723 2\n118472457 2\n246504042 2\n434901142 2\n130459759 2\n256590683 2\n46053504 2\n348960724 2\n261014604 2\n213907095 2\n232693343 2\n295034058 2\n449964941 2\n264981196 2\n62807949 2\n240859762 2\n112338660 2\n221545256 2\n248818696 2\n291806515 2\n453131702 2\n75424282 2\n334025221 2\n333020260 2\n114269925 2\n16124797 2\n235183658 2\n34919323 2\n303666864 2\n319432339 2\n425492637 2\n303567640 2\n448230384 2\n188076939 2\n117528802 2\n197396773 2\n45948592 2\n292781928 2\n47878213 2\n366949371 2\n337628332 2\n80638170 2\n387527844 2\n401260857 2\n154473466 2\n302849719 2\n1249176 2\n386116239 2\n149969709 2\n101735991 2\n378172157 2\n72176908 2\n86388266 2\n276300156 2\n372073627 2\n115563598 2\n120871369 2\n426728513 2\n303793343 2\n333407597 2\n336843972 2\n351990927 2\n214563552 2\n314233224 2\n146973919 2\n102359615 2\n175601891 2\n146723331 2\n265878792 2\n304650840 2\n137384978 2\n432447527 2\n349373767 2\n215664340 2\n83987217 2\n109359522 2\n81186353 2\n127375360 2\n250223711 2\n91789654 2\n296357466 2\n17426432 2\n412060236 2\n331973826 2\n135548180 2\n148505176 2\n308996676 2\n255312654 2\n265673157 2\n277598679 2\n445815545 2\n82874583 2\n157576981 2\n47568408 2\n195383381 2\n353330370 2\n49359022 2\n352079881 2\n171231578 2\n455669215 2\n411394503 2\n131227795 2\n98272504 2\n139708684 2\n3543176 2\n52577877 2\n263309556 2\n142068 2\n105776398 2\n163718443 2\n347138034 2\n8214400 2\n396805968 2\n47219827 2\n347933755 2\n288057886 2\n205841952 2\n385179964 2\n158409643 2\n211268383 2\n94755108 2\n224358764 2\n196958323 2\n315610273 2\n67051673 2\n331882660 2\n183208722 2\n296145827 2\n328968982 2\n263113588 2\n35263811 2\n370127587 2\n387132212 2\n194918940 2\n216268688 2\n245983070 2\n88236471 2\n189561000 2\n344532884 2\n406161780 2\n238701212 2\n146067504 2\n351079978 2\n428301054 2\n357654705 2\n418707849 2\n135897880 2\n111264054 2\n14961601 2\n158102726 2\n195405216 2\n92981053 2\n318249156 2\n60677668 2\n428616977 2\n94417824 2\n420171671 2\n191505113 2\n294356475 2\n207038519 2\n11363388 2\n74054389 2\n66478796 2\n254762546 2\n448501749 2\n376115030 2\n312889640 2\n379031282 2\n155959015 2\n213335578 2\n195939697 2\n20995652 2\n29890547 2\n425773923 2\n138726350 2\n204718732 2\n127266972 2\n4739506 2\n71439965 2\n46503929 2\n441460907 2\n433135540 2\n403916282 2\n421060974 2\n150864037 2\n203513901 2\n234264526 2\n9812855 2\n231983447 2\n348682596 2\n64696841 2\n168004665 2\n167993006 2\n197427664 2\n275109468 2\n87314019 2\n12079444 2\n176325498 2\n162229403 2\n428589327 2\n148524924 2\n372957400 2\n85743942 2\n295136363 2\n249768671 2\n393915595 2\n408365878 2\n146457369 2\n45753905 2\n41578990 2\n338859894 2\n133161006 2\n265537196 2\n254044783 2\n197318802 2\n357398554 2\n259647621 2\n19274685 2\n19895307 2\n215414415 2\n290064249 2\n267194221 2\n279940983 2\n248613818 2\n452760797 2\n82171751 2\n334760237 2\n136712765 2\n281617521 2\n432433309 2\n274591623 2\n120125484 2\n258709860 2\n45516745 2\n216057080 2\n274474468 2\n377514640 2\n443675672 2\n217413163 2\n387831882 2\n61158857 2\n271428623 2\n258467407 2\n295721628 2\n91645558 2\n186117864 2\n22390160 2\n308018421 2\n40569607 2\n287634635 2\n228140020 2\n380401695 2\n89022473 2\n394920475 2\n141557124 2\n280425490 2\n84932612 2\n183195417 2\n446300447 2\n179897011 2\n261290235 2\n197489789 2\n66656673 2\n451149750 2\n293148914 2\n354131511 2\n274741091 2\n23745405 2\n205394340 2\n439427335 2\n222300292 2\n216062026 2\n90202305 2\n432827471 2\n396927075 2\n267814766 2\n307636882 2\n46612398 2\n257336127 2\n417662236 2\n395532251 2\n55674407 2\n211184676 2\n69069965 2\n304522432 2\n185933985 2\n323465607 2\n78548936 2\n357603987 2\n256479137 2\n161728352 2\n160441080 2\n136671371 2\n390753223 2\n96996891 2\n86504317 2\n179943224 2\n404201031 2\n328051557 2\n386918958 2\n344130300 2\n278793082 2\n228485801 2\n198577303 2\n161098171 2\n245104162 2\n363392949 2\n106431830 2\n275397660 2\n307793223 2\n2151988 2\n384409128 2\n287453804 2\n124416417 2\n446839273 2\n230147362 2\n418324304 2\n36641727 2\n64267744 2\n267111668 2\n404249820 2\n95220497 2\n163457901 2\n72551730 2\n65356127 2\n294483509 2\n378799575 2\n151792476 2\n64775367 2\n14340501 2\n430205066 2\n168328883 2\n346108032 2\n258814171 2\n408203456 2\n361689281 2\n99820509 2\n52095709 2\n443927570 2\n240818287 2\n193499310 2\n379515868 2\n318968958 2\n292976347 2\n59642893 2\n420460574 2\n149116399 2\n224196101 2\n29548982 2\n92116714 2\n179300954 2\n222910409 2\n133425735 2\n8976954 2\n401467473 2\n316963907 2\n119832282 2\n172153146 2\n423878952 2\n83636852 2\n402758886 2\n273880783 2\n231888410 2\n403918132 2\n31845560 2\n456872510 2\n11172871 2\n229247600 2\n174100305 2\n267619590 2\n107865759 2\n214907676 2\n294523198 2\n279619975 2\n179233883 2\n158051330 2\n171861210 2\n",
"0\n1 1\n2 1\n2 1\n2 1\n2 2\n4 2\n6 2\n",
"190496\n",
"100120\n",
"64852\n",
"61204\n"
]
} | 2CODEFORCES
|
207_A2. Beaver's Calculator 1.0_38237 | The Smart Beaver from ABBYY has once again surprised us! He has developed a new calculating device, which he called the "Beaver's Calculator 1.0". It is very peculiar and it is planned to be used in a variety of scientific problems.
To test it, the Smart Beaver invited n scientists, numbered from 1 to n. The i-th scientist brought ki calculating problems for the device developed by the Smart Beaver from ABBYY. The problems of the i-th scientist are numbered from 1 to ki, and they must be calculated sequentially in the described order, since calculating each problem heavily depends on the results of calculating of the previous ones.
Each problem of each of the n scientists is described by one integer ai, j, where i (1 ≤ i ≤ n) is the number of the scientist, j (1 ≤ j ≤ ki) is the number of the problem, and ai, j is the number of resource units the calculating device needs to solve this problem.
The calculating device that is developed by the Smart Beaver is pretty unusual. It solves problems sequentially, one after another. After some problem is solved and before the next one is considered, the calculating device allocates or frees resources.
The most expensive operation for the calculating device is freeing resources, which works much slower than allocating them. It is therefore desirable that each next problem for the calculating device requires no less resources than the previous one.
You are given the information about the problems the scientists offered for the testing. You need to arrange these problems in such an order that the number of adjacent "bad" pairs of problems in this list is minimum possible. We will call two consecutive problems in this list a "bad pair" if the problem that is performed first requires more resources than the one that goes after it. Do not forget that the problems of the same scientist must be solved in a fixed order.
Input
The first line contains integer n — the number of scientists. To lessen the size of the input, each of the next n lines contains five integers ki, ai, 1, xi, yi, mi (0 ≤ ai, 1 < mi ≤ 109, 1 ≤ xi, yi ≤ 109) — the number of problems of the i-th scientist, the resources the first problem requires and three parameters that generate the subsequent values of ai, j. For all j from 2 to ki, inclusive, you should calculate value ai, j by formula ai, j = (ai, j - 1 * xi + yi) mod mi, where a mod b is the operation of taking the remainder of division of number a by number b.
To get the full points for the first group of tests it is sufficient to solve the problem with n = 2, 1 ≤ ki ≤ 2000.
To get the full points for the second group of tests it is sufficient to solve the problem with n = 2, 1 ≤ ki ≤ 200000.
To get the full points for the third group of tests it is sufficient to solve the problem with 1 ≤ n ≤ 5000, 1 ≤ ki ≤ 5000.
Output
On the first line print a single number — the number of "bad" pairs in the optimal order.
If the total number of problems does not exceed 200000, also print <image> lines — the optimal order of the problems. On each of these lines print two integers separated by a single space — the required number of resources for the problem and the number of the scientist who offered this problem, respectively. The scientists are numbered from 1 to n in the order of input.
Examples
Input
2
2 1 1 1 10
2 3 1 1 10
Output
0
1 1
2 1
3 2
4 2
Input
2
3 10 2 3 1000
3 100 1 999 1000
Output
2
10 1
23 1
49 1
100 2
99 2
98 2
Note
In the first sample n = 2, k1 = 2, a1, 1 = 1, a1, 2 = 2, k2 = 2, a2, 1 = 3, a2, 2 = 4. We've got two scientists, each of them has two calculating problems. The problems of the first scientist require 1 and 2 resource units, the problems of the second one require 3 and 4 resource units. Let's list all possible variants of the calculating order (each problem is characterized only by the number of resource units it requires): (1, 2, 3, 4), (1, 3, 2, 4), (3, 1, 2, 4), (1, 3, 4, 2), (3, 4, 1, 2), (3, 1, 4, 2).
Sequence of problems (1, 3, 2, 4) has one "bad" pair (3 and 2), (3, 1, 4, 2) has two "bad" pairs (3 and 1, 4 and 2), and (1, 2, 3, 4) has no "bad" pairs. | import java.io.IOException;
import java.io.InputStreamReader;
import java.io.Closeable;
import java.util.Iterator;
import java.io.BufferedReader;
import java.io.OutputStream;
import java.io.PrintWriter;
import java.util.NoSuchElementException;
import java.io.Writer;
import java.util.StringTokenizer;
import java.io.InputStream;
/**
* Built using CHelper plug-in
* Actual solution is at the top
* @author Jacob Jiang
*/
public class Main {
public static void main(String[] args) {
InputStream inputStream = System.in;
OutputStream outputStream = System.out;
QuickScanner in = new QuickScanner(inputStream);
ExtendedPrintWriter out = new ExtendedPrintWriter(outputStream);
TaskA1 solver = new TaskA1();
solver.solve(1, in, out);
out.close();
}
}
class TaskA1 {
public void solve(int testNumber, QuickScanner in, ExtendedPrintWriter out) {
in.next();
int[][] a = new int[2][];
for (int i = 0; i < 2; i++) {
a[i] = read(in);
}
int answer = 0;
int[] index = new int[2];
int[] recordFirst = new int[a[0].length + a[1].length];
int[] recordSecond = new int[a[0].length + a[1].length];
int recordIndex = 0;
int previous = Integer.MIN_VALUE;
while (index[0] < a[0].length || index[1] < a[1].length) {
if (index[0] == a[0].length) {
previous = a[1][index[1]++];
recordFirst[recordIndex] = 2;
recordSecond[recordIndex++] = previous;
} else if (index[1] == a[1].length) {
previous = a[0][index[0]++];
recordFirst[recordIndex] = 1;
recordSecond[recordIndex++] = previous;
} else {
if (a[0][index[0]] <= a[1][index[1]]) {
// if (a[0][index[0]] < previous) {
// answer++;
// }
// previous = a[0][index[0]++];
// recordFirst[recordIndex] = 1;
// recordSecond[recordIndex++] = previous;
if (a[0][index[0]] >= previous) {
previous = a[0][index[0]++];
recordFirst[recordIndex] = 1;
recordSecond[recordIndex++] = previous;
}
else if (a[1][index[1]] >= previous) {
previous = a[1][index[1]++];
recordFirst[recordIndex] = 2;
recordSecond[recordIndex++] = previous;
} else {
previous = a[0][index[0]++];
recordFirst[recordIndex] = 1;
recordSecond[recordIndex++] = previous;
}
} else {
if (a[1][index[1]] >= previous) {
previous = a[1][index[1]++];
recordFirst[recordIndex] = 2;
recordSecond[recordIndex++] = previous;
}
else if (a[0][index[0]] >= previous) {
previous = a[0][index[0]++];
recordFirst[recordIndex] = 1;
recordSecond[recordIndex++] = previous;
} else {
previous = a[1][index[1]++];
recordFirst[recordIndex] = 2;
recordSecond[recordIndex++] = previous;
}
}
}
}
for (int i = 0; i < recordSecond.length - 1; i++) {
if (recordSecond[i] > recordSecond[i + 1]) {
answer++;
}
}
out.println(answer);
if (recordFirst.length <= 200000) {
for (int i = 0; i < recordFirst.length; i++) {
out.printLine(recordSecond[i], recordFirst[i]);
}
}
}
private int[] read(QuickScanner in) {
int n = in.nextInt();
int[] result = new int[n];
result[0] = in.nextInt();
int x = in.nextInt();
int y = in.nextInt();
int m = in.nextInt();
for (int i = 1; i < n; i++) {
result[i] = (int) (((long) result[i - 1] * x + y) % m);
}
return result;
}
}
class ExtendedPrintWriter extends PrintWriter {
public ExtendedPrintWriter(Writer out) {
super(out);
}
public ExtendedPrintWriter(OutputStream out) {
super(out);
}
public void printItems(Object... items) {
for (int i = 0; i < items.length; i++) {
if (i != 0) {
print(' ');
}
print(items[i]);
}
}
public void printLine(Object... items) {
printItems(items);
println();
}
}
class QuickScanner implements Iterator<String>, Closeable {
BufferedReader reader;
StringTokenizer tokenizer;
boolean endOfFile = false;
public QuickScanner(InputStream inputStream) {
reader = new BufferedReader(new InputStreamReader(inputStream));
tokenizer = null;
}
public boolean hasNext() {
if (tokenizer == null || !tokenizer.hasMoreTokens()) {
try {
checkNext();
} catch (NoSuchElementException ignored) {
}
}
return !endOfFile;
}
private void checkNext() {
if (endOfFile) {
throw new NoSuchElementException();
}
try {
while (tokenizer == null || !tokenizer.hasMoreTokens()) {
tokenizer = new StringTokenizer(reader.readLine());
}
} catch (Exception e) {
endOfFile = true;
throw new NoSuchElementException();
}
}
public String next() {
checkNext();
return tokenizer.nextToken();
}
public void remove() {
throw new UnsupportedOperationException();
}
public int nextInt() {
return Integer.parseInt(next());
}
public void close() {
try {
reader.close();
} catch (Exception e) {
throw new RuntimeException(e);
}
}
}
| 4JAVA
| {
"input": [
"2\n2 1 1 1 10\n2 3 1 1 10\n",
"2\n3 10 2 3 1000\n3 100 1 999 1000\n",
"2\n199259 641597876 874636940 764816019 656105016\n51285 310517513 469223007 415463849 968409867\n",
"2\n5 737247526 385663770 400009853 926128972\n5 134299091 206672784 206760990 541043536\n",
"2\n76545 44608612 589345778 6920255 654664883\n123456 61295902 391408811 636222520 386531264\n",
"2\n42 677392091 863654695 46248153 938590074\n17 425637526 954080044 368105815 652517923\n",
"2\n99 175270701 829482881 147949455 566425370\n123 100351999 897892314 104698948 684030659\n",
"2\n12 103331584 83190780 257226870 965727680\n23 412354004 294233930 431595244 480491361\n",
"2\n1 123 999 123 19999\n1 456 1925 91285 98259128\n",
"2\n4 1 1 2 4\n3 2 1 2 7\n",
"2\n12 103331584 83190780 257226870 965727680\n23 412354004 294233930 431595244 480491361\n",
"2\n200000 178462071 1 453732541 491259366\n200000 231385928 1 242542063 254641752\n",
"2\n99 175270701 829482881 147949455 566425370\n123 100351999 897892314 104698948 684030659\n",
"2\n200000 596139600 721828529 162089919 884793357\n200000 82866203 974141290 760973131 266072600\n",
"2\n95823 569910999 797163896 149950733 920802531\n129893 50778580 468222081 947168081 211361337\n",
"2\n200000 361194717 1 31742964 989672650\n10000 868472256 1 7588303 965600016\n",
"2\n200000 364522930 471220742 3323454 898470369\n1 455449111 241916205 932024383 843764754\n",
"2\n200000 244644091 1 28513600 392966151\n200000 164724505 1 79354821 795427903\n",
"2\n1 644201782 61555067 825933028 769955674\n200000 513059522 978111349 145745825 792683341\n",
"2\n199581 189325457 172437388 975655236 197578293\n420 138568681 827248635 161099789 339689120\n",
"2\n77777 145184541 194793384 339601722 348499667\n122265 175505092 592656277 474753343 412812910\n",
"2\n42 677392091 863654695 46248153 938590074\n17 425637526 954080044 368105815 652517923\n",
"2\n199994 79428345 1 876640837 876641858\n200000 73442706 1 620545151 620545186\n",
"2\n123456 508797064 754997283 381963459 812482957\n192929 127476548 756426200 227737142 482639687\n",
"2\n10000 794234172 1 832139239 832255495\n200000 326347845 1 723997111 803708338\n",
"2\n200000 45440119 1 389 465390917\n199990 18589376 1 407 356819626\n",
"2\n2000 271409792 1 19778541 957727212\n2000 667886041 1 44842085 791543289\n",
"2\n1999 358871397 530769598 305679662 803927388\n2000 715959740 14972813 580734726 891135984\n",
"2\n199 436532744 984089024 369858140 969252147\n2000 207924341 347625287 885830816 733509605\n",
"2\n1987 476389660 61264430 754400667 728121495\n1234 863799353 122821586 907438041 990713389\n",
"2\n1987 476389660 61264430 754400667 728121495\n1234 863799353 122821586 907438041 990713389\n",
"2\n2000 123 987654321 999999942 124\n2000 128 987654231 999994242 129\n",
"2\n2000 4234567 1 12345678 12345678\n2000 1234567 1 12345678 12345678\n",
"2\n1234 209084967 1 12085265 503516736\n1789 617525355 1 52057914 823372076\n",
"2\n2000 1234567 1 12345678 12345678\n2000 1234567 1 12345678 12345678\n",
"2\n199 436532744 984089024 369858140 969252147\n2000 207924341 347625287 885830816 733509605\n",
"2\n924 370426904 394349353 790033845 431931588\n444 747017304 214654349 731107589 923664607\n",
"2\n2000 1234567 1 12345678 12345678\n2000 1234567 1 12345678 12345678\n",
"2\n1234 209084967 1 12085265 503516736\n1789 617525355 1 52057914 823372076\n",
"2\n2000 123 987654321 999999942 124\n2000 128 987654231 999994242 129\n",
"2\n2000 46170716 798614358 808143265 229385097\n1999 478239914 103577644 424246364 595644479\n",
"2\n2000 23476337 51578965 761670528 741348701\n123 42464463 82411126 377029312 470836756\n",
"2\n2000 271409792 1 19778541 957727212\n2000 667886041 1 44842085 791543289\n",
"2\n2000 164790513 537018007 475630969 457584037\n1 123 1 1 1000\n",
"2\n2000 46170716 798614358 808143265 229385097\n1999 478239914 103577644 424246364 595644479\n",
"2\n2000 358175848 101930911 130017820 489406814\n2000 38616403 135262480 885795952 675204408\n",
"2\n1567 212356557 218777480 599320863 679473225\n1765 123442486 564740151 381944659 180451814\n",
"2\n924 370426904 394349353 790033845 431931588\n444 747017304 214654349 731107589 923664607\n",
"2\n1 12323 1 1 102100\n2000 164290513 537018007 475630969 457584037\n",
"2\n1 12323 1 1 102100\n2000 164290513 537018007 475630969 457584037\n",
"2\n2000 641449478 1 708087562 744141132\n2000 119553728 1 366448636 368015326\n",
"2\n1234 757164650 63227802 21015842 834095005\n1234 89432840 284012356 456549685 554006644\n",
"2\n2000 358175848 101930911 130017820 489406814\n2000 38616403 135262480 885795952 675204408\n",
"2\n1999 358871397 530769598 305679662 803927388\n2000 715959740 14972813 580734726 891135984\n",
"2\n1994 73930424 1 667145849 720279733\n942 194368514 1 486729813 515120682\n",
"2\n2000 164790513 537018007 475630969 457584037\n1 123 1 1 1000\n",
"2\n2000 4234567 1 12345678 12345678\n2000 1234567 1 12345678 12345678\n",
"2\n2000 23476337 51578965 761670528 741348701\n123 42464463 82411126 377029312 470836756\n",
"2\n1234 757164650 63227802 21015842 834095005\n1234 89432840 284012356 456549685 554006644\n",
"2\n2000 641449478 1 708087562 744141132\n2000 119553728 1 366448636 368015326\n",
"2\n1567 212356557 218777480 599320863 679473225\n1765 123442486 564740151 381944659 180451814\n",
"2\n1994 73930424 1 667145849 720279733\n942 194368514 1 486729813 515120682\n",
"2\n199259 641597876 874636940 764816019 726929685\n51285 310517513 469223007 415463849 968409867\n",
"2\n5 737247526 385663770 400009853 926128972\n5 134299091 206672784 206760990 779942281\n",
"2\n76545 44608612 589345778 6920255 654664883\n123456 61295902 670056773 636222520 386531264\n",
"2\n63 677392091 863654695 46248153 938590074\n17 425637526 954080044 368105815 652517923\n",
"2\n12 103331584 83190780 257226870 965727680\n9 412354004 294233930 431595244 480491361\n",
"2\n1 123 1856 123 19999\n1 456 1925 91285 98259128\n",
"2\n4 1 0 2 4\n3 2 1 2 7\n",
"2\n12 103331584 83190780 257226870 965727680\n23 412354004 294233930 668889337 480491361\n",
"2\n200000 178462071 1 260091107 491259366\n200000 231385928 1 242542063 254641752\n",
"2\n99 175270701 829482881 147949455 566425370\n123 66394663 897892314 104698948 684030659\n",
"2\n200000 675809358 721828529 162089919 884793357\n200000 82866203 974141290 760973131 266072600\n",
"2\n95823 569910999 797163896 149950733 920802531\n129893 50778580 468222081 947168081 280108984\n",
"2\n200000 385756680 1 28513600 392966151\n200000 164724505 1 79354821 795427903\n",
"2\n1 644201782 61555067 825933028 769955674\n200000 513059522 978111349 145745825 879866717\n",
"2\n77777 145184541 194793384 339601722 348499667\n122265 175505092 592656277 474753343 577300547\n",
"2\n42 677392091 863654695 46248153 938590074\n17 425637526 954080044 368105815 158566860\n",
"2\n199994 79428345 1 876640837 876641858\n200000 73442706 1 793341877 620545186\n",
"2\n123456 508797064 754997283 381963459 812482957\n192929 31097924 756426200 227737142 482639687\n",
"2\n10000 794234172 2 832139239 832255495\n200000 326347845 1 723997111 803708338\n",
"2\n200000 45440119 1 705 465390917\n199990 18589376 1 407 356819626\n",
"2\n2000 271409792 1 14970168 957727212\n2000 667886041 1 44842085 791543289\n",
"2\n1999 358871397 530769598 305679662 803927388\n2000 715959740 14972813 583010895 891135984\n",
"2\n199 436532744 242864909 369858140 969252147\n2000 207924341 347625287 885830816 733509605\n",
"2\n1987 476389660 61264430 1293094465 728121495\n1234 863799353 122821586 907438041 990713389\n",
"2\n3400 476389660 61264430 754400667 728121495\n1234 863799353 122821586 907438041 990713389\n",
"2\n2000 123 987654321 999999942 124\n2000 128 588705209 999994242 129\n",
"2\n2000 4234567 1 19643156 12345678\n2000 1234567 1 12345678 12345678\n",
"2\n1234 286239089 1 12085265 503516736\n1789 617525355 1 52057914 823372076\n",
"2\n2000 1234567 1 12345678 12345678\n2000 701927 1 12345678 12345678\n",
"2\n924 370426904 394349353 790033845 431931588\n444 747017304 51706799 731107589 923664607\n",
"2\n2000 122371 1 12345678 12345678\n2000 1234567 1 12345678 12345678\n",
"2\n1234 209084967 1 12085265 503516736\n1789 617525355 1 16785626 823372076\n",
"2\n2000 123 987654321 999999942 124\n2000 128 987654231 999994242 85\n",
"2\n2000 86979745 798614358 808143265 229385097\n1999 478239914 103577644 424246364 595644479\n",
"2\n2000 23476337 51578965 761670528 986282962\n123 42464463 82411126 377029312 470836756\n",
"2\n2000 164790513 537018007 475630969 457584037\n1 123 1 1 1010\n",
"2\n2000 9783128 798614358 808143265 229385097\n1999 478239914 103577644 424246364 595644479\n",
"2\n2000 358175848 101930911 130017820 489406814\n2000 67329947 135262480 885795952 675204408\n",
"2\n1567 212356557 382447072 599320863 679473225\n1765 123442486 564740151 381944659 180451814\n",
"2\n924 370426904 394349353 59947301 431931588\n444 747017304 214654349 731107589 923664607\n",
"2\n1 12323 1 0 102100\n2000 164290513 537018007 475630969 457584037\n",
"2\n2000 641449478 1 708087562 744141132\n2608 119553728 1 366448636 368015326\n",
"2\n3600 358175848 101930911 130017820 489406814\n2000 38616403 135262480 885795952 675204408\n",
"2\n1999 358871397 530769598 537462076 803927388\n2000 715959740 14972813 580734726 891135984\n",
"2\n1994 73930424 1 207082266 720279733\n942 194368514 1 486729813 515120682\n",
"2\n2000 164790513 953968058 475630969 457584037\n1 123 1 1 1000\n",
"2\n2000 4234567 1 12345678 16360285\n2000 1234567 1 12345678 12345678\n",
"2\n1234 757164650 63227802 21015842 834095005\n1234 89432840 284012356 553732343 554006644\n",
"2\n2000 641449478 1 708087562 744141132\n2000 119553728 1 149762568 368015326\n",
"2\n1567 331983163 218777480 599320863 679473225\n1765 123442486 564740151 381944659 180451814\n",
"2\n1994 73930424 1 667145849 720279733\n942 194368514 1 509763782 515120682\n",
"2\n2 1 1 1 10\n2 4 1 1 10\n",
"2\n3 4 2 3 1000\n3 100 1 999 1000\n",
"2\n199259 641597876 874636940 764816019 989589230\n51285 310517513 469223007 415463849 968409867\n",
"2\n5 737247526 64488468 400009853 926128972\n5 134299091 206672784 206760990 779942281\n",
"2\n76545 44608612 589345778 6920255 654664883\n123456 61295902 851986123 636222520 386531264\n",
"2\n63 677392091 863654695 46248153 938590074\n17 425637526 1334710846 368105815 652517923\n",
"2\n12 103331584 15201938 257226870 965727680\n9 412354004 294233930 431595244 480491361\n",
"2\n1 123 1856 123 19999\n1 782 1925 91285 98259128\n",
"2\n12 103331584 83190780 257226870 965727680\n23 412354004 233497602 668889337 480491361\n",
"2\n99 175270701 829482881 147949455 566425370\n123 66394663 939266757 104698948 684030659\n",
"2\n1 644201782 61555067 825933028 769955674\n200000 381960549 978111349 145745825 879866717\n",
"2\n1 12323 1 2 102100\n2000 164290513 537018007 475630969 457584037\n",
"2\n4 1 0 2 8\n3 2 1 2 7\n",
"2\n200000 344502885 1 260091107 491259366\n200000 231385928 1 242542063 254641752\n",
"2\n200000 675809358 721828529 162089919 884793357\n200000 41233491 974141290 760973131 266072600\n",
"2\n95823 569910999 1411289731 149950733 920802531\n129893 50778580 468222081 947168081 280108984\n",
"2\n77777 145184541 194793384 339601722 308042632\n122265 175505092 592656277 474753343 577300547\n"
],
"output": [
"0\n1 1\n2 1\n3 2\n4 2\n",
"2\n10 1\n23 1\n49 1\n100 2\n99 2\n98 2\n",
"99509\n",
"3\n134299091 2\n459727998 2\n737247526 1\n323142350 2\n639125725 1\n35294494 2\n347009055 1\n369253646 2\n290041467 1\n865957427 1\n",
"61685\n",
"25\n425637526 2\n677392091 1\n130893272 1\n192754308 2\n289379059 2\n458113797 2\n562166711 2\n626209451 1\n3245264 1\n399285321 2\n566464756 2\n830856275 1\n294323562 2\n828088550 1\n39058130 2\n162689471 1\n639212989 2\n112917878 1\n445445886 2\n446914601 1\n64945519 2\n146314124 1\n932853419 1\n4297050 2\n367078241 2\n454613102 1\n208719803 2\n337450683 2\n366280235 1\n437432945 2\n910608668 1\n224756063 1\n648770822 1\n811883969 1\n366173540 1\n292030667 1\n707156270 1\n461552111 1\n120796676 1\n108378305 1\n931057874 1\n596821535 1\n446490782 1\n111372587 1\n740465288 1\n130864931 1\n340448228 1\n871488053 1\n247978394 1\n628920593 1\n187239968 1\n623339621 1\n167025806 1\n721381157 1\n524115998 1\n509057837 1\n567641798 1\n284501339 1\n41858036 1\n",
"58\n100351999 2\n175270701 1\n466275286 1\n552069427 2\n180858201 1\n217393231 2\n123613686 1\n146609578 2\n206879921 1\n337779986 1\n2673049 2\n115453461 1\n581211609 2\n627490921 2\n629145412 2\n9435966 1\n160017941 1\n169423133 2\n191796814 2\n199698743 2\n226316356 1\n181290650 2\n181923619 2\n208922941 1\n339317396 1\n364503191 2\n74819293 2\n215685341 1\n228166786 1\n54333017 2\n182360401 1\n531663758 2\n156533496 1\n500480439 2\n156021911 1\n158828454 2\n316489906 1\n74086531 2\n214052591 1\n407369026 1\n416207489 2\n531534511 2\n8402281 1\n286307476 1\n518056185 2\n557871331 1\n21489326 1\n167424821 1\n341636436 1\n401724747 2\n416079411 1\n494980363 2\n503905779 2\n544786886 1\n86523284 2\n414478991 1\n496389206 1\n538966985 2\n676374792 2\n187032122 2\n289383511 1\n342876906 1\n543219431 1\n23020626 2\n84516726 1\n361635291 1\n485191096 1\n11690899 2\n26272971 1\n450032943 2\n480513566 1\n502785063 2\n52305021 1\n94615973 2\n369843236 1\n497333273 2\n101584661 1\n152707705 2\n465640968 2\n565064386 1\n169462311 1\n215488176 1\n365865261 1\n441643855 2\n600877301 2\n183573405 2\n218391866 1\n578824185 2\n190752341 1\n448338935 2\n558222376 1\n150941851 1\n306247993 2\n436135540 2\n494137666 1\n168483181 1\n318726006 2\n491115996 1\n495279236 2\n101451657 2\n397321361 1\n19073945 2\n180241737 2\n294166382 2\n364723686 1\n379408831 1\n55621826 1\n225033989 2\n526174991 1\n150096506 1\n189364125 2\n211360411 1\n478963826 1\n658650009 2\n371056501 1\n421277017 2\n529658895 2\n533687876 1\n555905041 1\n594895895 2\n220030513 2\n264136792 2\n421136366 1\n167567571 1\n209674291 2\n417372417 2\n419133325 2\n65002166 1\n91095592 2\n167719801 1\n169093436 1\n231087114 2\n339103491 1\n77475205 2\n161476056 1\n361889111 1\n619934865 2\n86442886 1\n500117881 1\n596381037 2\n97997236 1\n125607411 1\n530833366 1\n558228371 2\n177532771 1\n196281776 1\n261652400 2\n7711981 1\n51049168 2\n296556366 1\n365523661 1\n639134350 2\n660726776 2\n142057702 2\n325457916 1\n344038188 2\n411889551 1\n543223840 2\n110134596 1\n143829221 1\n192491986 1\n275614740 2\n290590201 1\n468499906 1\n578959942 2\n667746174 2\n243538151 1\n374924061 2\n516181146 1\n22176400 2\n282487942 2\n459536781 1\n82642834 2\n428903266 1\n492559241 1\n34885396 1\n71903556 2\n114804659 2\n292478021 1\n510665760 2\n645094021 2\n185723606 1\n281077521 1\n299189556 1\n320791491 1\n329526148 2\n508737942 2\n96174301 2\n525074723 2\n33784418 2\n162429890 2\n191818337 2\n301794897 2\n428909023 2\n363091906 2\n648958460 2\n231079667 2\n557135231 2\n6401471 2\n65810968 2\n174473056 2\n540114593 2\n506127491 2\n451544700 2\n265786548 2\n164421566 2\n162165453 2\n176118586 2\n320008377 2\n15458394 2\n32547773 2\n93955539 2\n375667959 2\n112968029 2\n548284749 2\n462760684 2\n59515197 2\n229106563 2\n259407962 2\n187919076 2\n351475501 2\n639703925 2\n",
"11\n103331584 1\n412354004 2\n435628220 2\n633655350 1\n964448030 1\n216327929 2\n234949310 1\n304722095 2\n114688830 1\n149234819 2\n77046910 1\n123716165 2\n240895870 1\n246687230 1\n258650321 2\n362553134 2\n948711230 1\n124930805 2\n428623870 1\n857782270 1\n46056443 2\n170793167 2\n563490110 1\n7158164 2\n376393667 2\n464252900 2\n385994426 2\n262575284 2\n28423751 2\n128998211 2\n416654825 2\n386313017 2\n43476341 2\n386818340 2\n449429252 2\n",
"0\n123 1\n456 2\n",
"1\n1 1\n2 2\n3 1\n4 2\n6 2\n1 1\n3 1\n",
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"99436\n",
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"61666\n",
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"0\n123 1\n456 2\n",
"0\n1 1\n2 1\n2 1\n2 1\n2 2\n4 2\n6 2\n",
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2\n19 1\n61 1\n76 2\n119 1\n23 2\n50 2\n81 1\n123 1\n17 2\n29 2\n57 1\n71 2\n19 1\n48 2\n61 1\n119 1\n10 2\n47 2\n49 2\n56 2\n81 1\n123 1\n38 2\n57 1\n60 2\n19 1\n52 2\n61 1\n119 1\n24 2\n81 1\n123 1\n11 2\n57 1\n8 2\n19 1\n40 2\n61 1\n67 2\n119 1\n34 2\n46 2\n81 1\n123 1\n3 2\n57 1\n65 2\n19 1\n27 2\n61 1\n64 2\n66 2\n73 2\n119 1\n55 2\n77 2\n81 1\n123 1\n57 1\n69 2\n19 1\n41 2\n61 1\n119 1\n28 2\n81 1\n123 1\n25 2\n57 1\n57 2\n84 2\n19 1\n51 2\n61 1\n63 2\n119 1\n20 2\n81 1\n82 2\n123 1\n44 2\n57 1\n81 2\n83 2\n5 2\n19 1\n61 1\n72 2\n119 1\n9 2\n81 1\n123 1\n1 2\n57 1\n58 2\n19 1\n45 2\n61 1\n119 1\n42 2\n74 2\n81 1\n123 1\n16 2\n57 1\n68 2\n80 2\n19 1\n37 2\n61 1\n119 1\n14 2\n61 2\n81 1\n123 1\n13 2\n15 2\n22 2\n57 1\n4 2\n19 1\n26 2\n61 1\n119 1\n18 2\n75 2\n81 1\n123 1\n57 1\n62 2\n19 1\n59 2\n61 1\n119 1\n6 2\n33 2\n81 1\n123 1\n0 2\n12 2\n54 2\n57 1\n19 1\n31 2\n61 1\n78 2\n119 1\n30 2\n32 2\n39 2\n81 1\n123 1\n21 2\n43 2\n57 1\n19 1\n35 2\n61 1\n119 1\n7 2\n79 2\n81 1\n123 1\n57 1\n76 2\n19 1\n23 2\n50 2\n61 1\n119 1\n17 2\n29 2\n71 2\n81 1\n123 1\n48 2\n57 1\n10 2\n19 1\n47 2\n49 2\n56 2\n61 1\n119 1\n38 2\n60 2\n81 1\n123 1\n52 2\n57 1\n19 1\n24 2\n61 1\n119 1\n11 2\n81 1\n123 1\n8 2\n40 2\n57 1\n67 2\n19 1\n34 2\n46 2\n61 1\n119 1\n3 2\n65 2\n81 1\n123 1\n27 2\n57 1\n64 2\n66 2\n73 2\n19 1\n55 2\n61 1\n77 2\n119 1\n69 2\n81 1\n123 1\n41 2\n57 1\n19 1\n28 2\n61 1\n119 1\n25 2\n57 2\n81 1\n84 2\n123 1\n51 2\n57 1\n63 2\n19 1\n20 2\n61 1\n82 2\n119 1\n44 2\n81 1\n81 2\n83 2\n123 1\n5 2\n57 1\n72 2\n9 2\n19 1\n61 1\n119 1\n1 2\n58 2\n81 1\n123 1\n45 2\n57 1\n19 1\n42 2\n61 1\n74 2\n119 1\n16 2\n68 2\n80 2\n81 1\n123 1\n37 2\n57 1\n14 2\n19 1\n61 1\n61 2\n119 1\n13 2\n15 2\n22 2\n81 1\n123 1\n4 2\n26 2\n57 1\n18 2\n19 1\n61 1\n75 2\n119 1\n62 2\n81 1\n123 1\n57 1\n59 2\n6 2\n19 1\n33 2\n61 1\n119 1\n0 2\n12 2\n54 2\n81 1\n123 1\n31 2\n57 1\n78 2\n19 1\n30 2\n32 2\n39 2\n61 1\n119 1\n21 2\n43 2\n81 1\n123 1\n35 2\n57 1\n7 2\n19 1\n61 1\n79 2\n119 1\n76 2\n81 1\n123 1\n23 2\n50 2\n57 1\n17 2\n19 1\n29 2\n61 1\n71 2\n119 1\n48 2\n81 1\n123 1\n10 2\n47 2\n49 2\n56 2\n57 1\n19 1\n38 2\n60 2\n61 1\n119 1\n52 2\n81 1\n123 1\n24 2\n57 1\n11 2\n19 1\n61 1\n119 1\n8 2\n40 2\n67 2\n81 1\n123 1\n34 2\n46 2\n57 1\n3 2\n19 1\n61 1\n65 2\n119 1\n27 2\n64 2\n66 2\n73 2\n81 1\n123 1\n55 2\n57 1\n77 2\n19 1\n61 1\n69 2\n119 1\n41 2\n81 1\n123 1\n28 2\n57 1\n19 1\n25 2\n57 2\n61 1\n84 2\n119 1\n51 2\n63 2\n81 1\n123 1\n20 2\n57 1\n82 2\n19 1\n44 2\n61 1\n81 2\n83 2\n119 1\n5 2\n72 2\n81 1\n123 1\n9 2\n57 1\n1 2\n19 1\n58 2\n61 1\n119 1\n45 2\n81 1\n123 1\n42 2\n57 1\n74 2\n16 2\n19 1\n61 1\n68 2\n80 2\n119 1\n37 2\n81 1\n123 1\n14 2\n57 1\n61 2\n13 2\n15 2\n19 1\n22 2\n61 1\n119 1\n4 2\n26 2\n81 1\n123 1\n18 2\n57 1\n75 2\n19 1\n61 1\n62 2\n119 1\n59 2\n81 1\n123 1\n6 2\n33 2\n57 1\n0 2\n12 2\n19 1\n54 2\n61 1\n119 1\n31 2\n78 2\n81 1\n123 1\n30 2\n32 2\n39 2\n57 1\n19 1\n21 2\n43 2\n61 1\n119 1\n35 2\n81 1\n123 1\n7 2\n57 1\n79 2\n19 1\n61 1\n76 2\n119 1\n23 2\n50 2\n81 1\n123 1\n17 2\n29 2\n57 1\n71 2\n19 1\n48 2\n61 1\n119 1\n10 2\n47 2\n49 2\n56 2\n81 1\n123 1\n38 2\n57 1\n60 2\n19 1\n52 2\n61 1\n119 1\n24 2\n81 1\n123 1\n11 2\n57 1\n8 2\n19 1\n40 2\n61 1\n67 2\n119 1\n34 2\n46 2\n81 1\n123 1\n3 2\n57 1\n65 2\n19 1\n27 2\n61 1\n64 2\n66 2\n73 2\n119 1\n55 2\n77 2\n81 1\n123 1\n57 1\n69 2\n19 1\n41 2\n61 1\n119 1\n28 2\n81 1\n123 1\n25 2\n57 1\n57 2\n84 2\n19 1\n51 2\n61 1\n63 2\n119 1\n20 2\n81 1\n82 2\n123 1\n44 2\n57 1\n81 2\n83 2\n5 2\n19 1\n61 1\n72 2\n119 1\n9 2\n81 1\n123 1\n1 2\n57 1\n58 2\n19 1\n45 2\n61 1\n119 1\n42 2\n74 2\n81 1\n123 1\n16 2\n57 1\n68 2\n80 2\n19 1\n37 2\n61 1\n119 1\n14 2\n61 2\n81 1\n123 1\n13 2\n15 2\n22 2\n57 1\n4 2\n19 1\n26 2\n61 1\n119 1\n18 2\n75 2\n81 1\n123 1\n57 1\n62 2\n19 1\n59 2\n61 1\n119 1\n6 2\n33 2\n81 1\n123 1\n0 2\n12 2\n54 2\n57 1\n19 1\n31 2\n61 1\n78 2\n119 1\n30 2\n32 2\n39 2\n81 1\n123 1\n21 2\n43 2\n57 1\n19 1\n35 2\n61 1\n119 1\n7 2\n79 2\n81 1\n123 1\n57 1\n76 2\n19 1\n23 2\n50 2\n61 1\n119 1\n17 2\n29 2\n71 2\n81 1\n123 1\n48 2\n57 1\n10 2\n19 1\n47 2\n49 2\n56 2\n61 1\n119 1\n38 2\n60 2\n81 1\n123 1\n52 2\n57 1\n19 1\n24 2\n61 1\n119 1\n11 2\n81 1\n123 1\n8 2\n40 2\n57 1\n67 2\n19 1\n34 2\n46 2\n61 1\n119 1\n3 2\n65 2\n81 1\n123 1\n27 2\n57 1\n64 2\n66 2\n73 2\n19 1\n55 2\n61 1\n77 2\n119 1\n69 2\n81 1\n123 1\n41 2\n57 1\n19 1\n28 2\n61 1\n119 1\n25 2\n57 2\n81 1\n84 2\n123 1\n51 2\n57 1\n63 2\n19 1\n20 2\n61 1\n82 2\n119 1\n44 2\n81 1\n81 2\n83 2\n123 1\n5 2\n57 1\n72 2\n9 2\n19 1\n61 1\n119 1\n1 2\n58 2\n81 1\n123 1\n45 2\n57 1\n19 1\n42 2\n61 1\n74 2\n119 1\n16 2\n68 2\n80 2\n81 1\n123 1\n37 2\n57 1\n14 2\n19 1\n61 1\n61 2\n119 1\n13 2\n15 2\n22 2\n81 1\n123 1\n4 2\n26 2\n57 1\n18 2\n19 1\n61 1\n75 2\n119 1\n62 2\n81 1\n123 1\n57 1\n59 2\n6 2\n19 1\n33 2\n61 1\n119 1\n0 2\n12 2\n54 2\n81 1\n123 1\n31 2\n57 1\n78 2\n19 1\n30 2\n32 2\n39 2\n61 1\n119 1\n21 2\n43 2\n81 1\n123 1\n35 2\n57 1\n7 2\n19 1\n61 1\n79 2\n119 1\n76 2\n81 1\n123 1\n23 2\n50 2\n57 1\n17 2\n19 1\n29 2\n61 1\n71 2\n119 1\n48 2\n81 1\n123 1\n10 2\n47 2\n49 2\n56 2\n57 1\n19 1\n38 2\n60 2\n61 1\n119 1\n52 2\n81 1\n123 1\n24 2\n57 1\n11 2\n19 1\n61 1\n119 1\n8 2\n40 2\n67 2\n81 1\n123 1\n34 2\n46 2\n57 1\n3 2\n19 1\n61 1\n65 2\n119 1\n27 2\n64 2\n66 2\n73 2\n81 1\n123 1\n55 2\n57 1\n77 2\n19 1\n61 1\n69 2\n119 1\n41 2\n81 1\n123 1\n28 2\n57 1\n19 1\n25 2\n57 2\n61 1\n84 2\n119 1\n51 2\n63 2\n81 1\n123 1\n20 2\n57 1\n82 2\n19 1\n44 2\n61 1\n81 2\n83 2\n119 1\n5 2\n72 2\n81 1\n123 1\n9 2\n57 1\n1 2\n19 1\n58 2\n61 1\n119 1\n45 2\n81 1\n123 1\n42 2\n57 1\n74 2\n16 2\n19 1\n61 1\n68 2\n80 2\n119 1\n37 2\n81 1\n123 1\n14 2\n57 1\n61 2\n13 2\n15 2\n19 1\n22 2\n61 1\n119 1\n4 2\n26 2\n81 1\n123 1\n18 2\n57 1\n75 2\n19 1\n61 1\n62 2\n119 1\n59 2\n81 1\n123 1\n6 2\n33 2\n57 1\n0 2\n12 2\n19 1\n54 2\n61 1\n119 1\n31 2\n78 2\n81 1\n123 1\n30 2\n32 2\n39 2\n57 1\n19 1\n21 2\n43 2\n61 1\n119 1\n35 2\n81 1\n123 1\n7 2\n57 1\n79 2\n19 1\n61 1\n76 2\n119 1\n23 2\n50 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2\n19 1\n48 2\n61 1\n119 1\n10 2\n47 2\n49 2\n56 2\n81 1\n123 1\n38 2\n57 1\n60 2\n19 1\n52 2\n61 1\n119 1\n24 2\n81 1\n123 1\n11 2\n57 1\n8 2\n19 1\n40 2\n61 1\n67 2\n119 1\n34 2\n46 2\n81 1\n123 1\n3 2\n57 1\n65 2\n19 1\n27 2\n61 1\n64 2\n66 2\n73 2\n119 1\n55 2\n77 2\n81 1\n123 1\n57 1\n69 2\n19 1\n41 2\n61 1\n119 1\n28 2\n81 1\n123 1\n25 2\n57 1\n57 2\n84 2\n19 1\n51 2\n61 1\n63 2\n119 1\n20 2\n81 1\n82 2\n123 1\n44 2\n57 1\n81 2\n83 2\n5 2\n19 1\n61 1\n72 2\n119 1\n9 2\n81 1\n123 1\n1 2\n57 1\n58 2\n19 1\n45 2\n61 1\n119 1\n42 2\n74 2\n81 1\n123 1\n16 2\n57 1\n68 2\n80 2\n19 1\n37 2\n61 1\n119 1\n14 2\n61 2\n81 1\n123 1\n13 2\n15 2\n22 2\n57 1\n4 2\n19 1\n26 2\n61 1\n119 1\n18 2\n75 2\n81 1\n123 1\n57 1\n62 2\n19 1\n59 2\n61 1\n119 1\n6 2\n33 2\n81 1\n123 1\n0 2\n12 2\n54 2\n57 1\n19 1\n31 2\n61 1\n78 2\n119 1\n30 2\n32 2\n39 2\n81 1\n123 1\n21 2\n43 2\n57 1\n19 1\n35 2\n61 1\n119 1\n7 2\n79 2\n81 1\n123 1\n57 1\n76 2\n19 1\n23 2\n50 2\n61 1\n119 1\n17 2\n29 2\n71 2\n81 1\n123 1\n48 2\n57 1\n10 2\n19 1\n47 2\n49 2\n56 2\n61 1\n119 1\n38 2\n60 2\n81 1\n123 1\n52 2\n57 1\n19 1\n24 2\n61 1\n119 1\n11 2\n81 1\n123 1\n8 2\n40 2\n57 1\n67 2\n19 1\n34 2\n46 2\n61 1\n119 1\n3 2\n65 2\n81 1\n123 1\n27 2\n57 1\n64 2\n66 2\n73 2\n19 1\n55 2\n61 1\n77 2\n119 1\n69 2\n81 1\n123 1\n41 2\n57 1\n19 1\n28 2\n61 1\n119 1\n25 2\n57 2\n81 1\n84 2\n123 1\n51 2\n57 1\n63 2\n19 1\n20 2\n61 1\n82 2\n119 1\n44 2\n81 1\n81 2\n83 2\n123 1\n5 2\n57 1\n72 2\n9 2\n19 1\n61 1\n119 1\n1 2\n58 2\n81 1\n123 1\n45 2\n57 1\n19 1\n42 2\n61 1\n74 2\n119 1\n16 2\n68 2\n80 2\n81 1\n123 1\n37 2\n57 1\n14 2\n19 1\n61 1\n61 2\n119 1\n13 2\n15 2\n22 2\n81 1\n123 1\n4 2\n26 2\n57 1\n18 2\n19 1\n61 1\n75 2\n119 1\n62 2\n81 1\n123 1\n57 1\n59 2\n6 2\n19 1\n33 2\n61 1\n119 1\n0 2\n12 2\n54 2\n81 1\n123 1\n31 2\n57 1\n78 2\n19 1\n30 2\n32 2\n39 2\n61 1\n119 1\n21 2\n43 2\n81 1\n123 1\n35 2\n57 1\n7 2\n19 1\n61 1\n79 2\n119 1\n76 2\n81 1\n123 1\n23 2\n50 2\n57 1\n17 2\n19 1\n29 2\n61 1\n71 2\n119 1\n48 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"0\n1 1\n2 1\n4 2\n5 2\n",
"2\n4 1\n11 1\n25 1\n100 2\n99 2\n98 2\n",
"99714\n",
"2\n134299091 2\n610343448 2\n737247526 1\n455187265 1\n492206737 2\n561925173 1\n617242176 2\n50361429 1\n87705191 2\n319951493 1\n",
"62431\n",
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"0\n123 1\n782 2\n",
"12\n103331584 1\n412354004 2\n633655350 1\n964448030 1\n64380451 2\n234949310 1\n43340179 2\n97212919 2\n114688830 1\n460449985 2\n77046910 1\n240895870 1\n246687230 1\n426952849 2\n948711230 1\n335319907 2\n366685510 2\n428623870 1\n461190577 2\n857782270 1\n444646138 2\n563490110 1\n248799847 2\n431621842 2\n143317768 2\n197151880 2\n318356221 2\n389618221 2\n339536353 2\n234519475 2\n77490328 2\n432377752 2\n99587209 2\n69089404 2\n234266062 2\n",
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"99836\n",
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2\n96143500 2\n180989375 2\n324727079 2\n224794368 2\n362316337 2\n252133268 2\n167983888 2\n274019775 2\n330601914 2\n102813312 2\n268318898 2\n46802867 2\n407568689 2\n399059395 2\n61173283 2\n395451195 2\n120786714 2\n141421878 2\n311739556 2\n378896778 2\n98938048 2\n427707606 2\n276933848 2\n53816645 2\n279389925 2\n12952978 2\n406504798 2\n221155470 2\n423251881 2\n112566654 2\n429085050 2\n131199 2\n199034287 2\n72789441 2\n188511992 2\n442836898 2\n49951805 2\n231374943 2\n434782137 2\n319480292 2\n135548022 2\n410290952 2\n68168415 2\n340995580 2\n72184935 2\n288301915 2\n223131688 2\n27260084 2\n278313234 2\n289547304 2\n407468914 2\n230223485 2\n197373659 2\n293906493 2\n69816197 2\n123502418 2\n448923848 2\n362690922 2\n166195756 2\n53716868 2\n409270112 2\n76598459 2\n62772164 2\n208281156 2\n318584860 2\n194802336 2\n313707762 2\n57332808 2\n175638753 2\n161472708 2\n7008386 2\n338144597 2\n377764280 2\n20535003 2\n16146759 2\n453683754 2\n106412901 2\n290925112 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2\n49879395 2\n248952333 2\n117181042 2\n130719226 2\n250290119 2\n114090878 2\n229136241 2\n43654322 2\n228014092 2\n206476355 2\n261639101 2\n262003052 2\n175360862 2\n30060318 2\n93556329 2\n144919871 2\n112806182 2\n287208713 2\n401297386 2\n257584979 2\n89566276 2\n435431548 2\n334544804 2\n166069481 2\n228830195 2\n119589438 2\n21806238 2\n71298586 2\n236279390 2\n402889519 2\n338476744 2\n294608487 2\n134235483 2\n291987535 2\n12018377 2\n230455745 2\n200458056 2\n141405525 2\n409109189 2\n391501781 2\n273024186 2\n77790220 2\n11966663 2\n114031314 2\n243089741 2\n383178183 2\n284198499 2\n436766378 2\n265250301 2\n103016344 2\n356731873 2\n256864135 2\n367365591 2\n67612334 2\n121783694 2\n151548888 2\n301479589 2\n126381415 2\n175408152 2\n155141885 2\n171493891 2\n14348956 2\n311055100 2\n84050687 2\n122515756 2\n47904994 2\n379911928 2\n204247260 2\n200071397 2\n237730809 2\n417398503 2\n148704175 2\n349034541 2\n356527976 2\n95672660 2\n121818770 2\n148279315 2\n228021202 2\n323301397 2\n116893958 2\n66943678 2\n188234149 2\n5998735 2\n47481080 2\n359652141 2\n170683241 2\n380175281 2\n9129141 2\n306386360 2\n292668166 2\n307729786 2\n322396579 2\n13302125 2\n370345818 2\n228181574 2\n168348157 2\n280258010 2\n281928750 2\n237131403 2\n210978644 2\n80030267 2\n167119470 2\n265964461 2\n143628506 2\n308047570 2\n86133917 2\n33450287 2\n192893536 2\n425519971 2\n315448055 2\n13788133 2\n7619925 2\n187356507 2\n176073093 2\n133196745 2\n304825478 2\n209372146 2\n144747730 2\n253554083 2\n329263573 2\n405701715 2\n398408167 2\n311140973 2\n112116938 2\n372433046 2\n152806487 2\n296432075 2\n335630975 2\n197769890 2\n34872555 2\n2970270 2\n417376855 2\n162932661 2\n229058553 2\n413299981 2\n165756595 2\n128662430 2\n243772775 2\n288592036 2\n381086627 2\n214963213 2\n251214371 2\n48914853 2\n262231836 2\n446723887 2\n70346052 2\n29953508 2\n274434683 2\n172377712 2\n136687564 2\n396301426 2\n228592769 2\n213497210 2\n374468591 2\n135539854 2\n447788458 2\n268433211 2\n84585249 2\n78505407 2\n181307429 2\n29186578 2\n430588578 2\n391768248 2\n339908667 2\n128819559 2\n104267656 2\n174499336 2\n37859670 2\n34216618 2\n44531459 2\n211180140 2\n332803201 2\n22689855 2\n4548609 2\n242271018 2\n96216498 2\n197014571 2\n9433528 2\n233697670 2\n29307446 2\n427410204 2\n146466107 2\n442383673 2\n385761641 2\n66057221 2\n251439567 2\n386048569 2\n92902448 2\n145222171 2\n364427533 2\n42973184 2\n384259186 2\n254023137 2\n370415228 2\n309977461 2\n101023521 2\n51262417 2\n113486528 2\n365856485 2\n449806515 2\n335035550 2\n27415034 2\n18953471 2\n60142884 2\n226479392 2\n143934710 2\n427910715 2\n75585995 2\n82945130 2\n411741469 2\n273930268 2\n375016030 2\n262438500 2\n303788555 2\n255893984 2\n64775365 2\n313056598 2\n357650171 2\n383724988 2\n384204235 2\n172066610 2\n353254846 2\n262517849 2\n89764410 2\n402690913 2\n400274573 2\n36532867 2\n305424770 2\n54416128 2\n196048956 2\n358278140 2\n303390474 2\n446559299 2\n283196856 2\n211523191 2\n191074247 2\n353069907 2\n101463867 2\n300843720 2\n26067656 2\n426409037 2\n209901606 2\n248079223 2\n163370321 2\n353157678 2\n350057005 2\n310166778 2\n260130043 2\n338771460 2\n299594050 2\n227428388 2\n269473450 2\n330286656 2\n109891951 2\n368195721 2\n441476549 2\n141049788 2\n451544197 2\n174963966 2\n87668461 2\n59061611 2\n315932593 2\n24639812 2\n176279362 2\n187141816 2\n117094776 2\n817281 2\n157233127 2\n8000595 2\n248383373 2\n25776258 2\n414930622 2\n140677775 2\n301588010 2\n247682408 2\n248953516 2\n282839967 2\n262832159 2\n280648316 2\n230596635 2\n62114410 2\n57290510 2\n317159384 2\n434858451 2\n170144696 2\n229252687 2\n208001024 2\n175836093 2\n204756999 2\n96239171 2\n152646749 2\n20694188 2\n292966788 2\n339825083 2\n264247949 2\n299509015 2\n415343632 2\n219510723 2\n118472457 2\n246504042 2\n434901142 2\n130459759 2\n256590683 2\n46053504 2\n348960724 2\n261014604 2\n213907095 2\n232693343 2\n295034058 2\n449964941 2\n264981196 2\n62807949 2\n240859762 2\n112338660 2\n221545256 2\n248818696 2\n291806515 2\n453131702 2\n75424282 2\n334025221 2\n333020260 2\n114269925 2\n16124797 2\n235183658 2\n34919323 2\n303666864 2\n319432339 2\n425492637 2\n303567640 2\n448230384 2\n188076939 2\n117528802 2\n197396773 2\n45948592 2\n292781928 2\n47878213 2\n366949371 2\n337628332 2\n80638170 2\n387527844 2\n401260857 2\n154473466 2\n302849719 2\n1249176 2\n386116239 2\n149969709 2\n101735991 2\n378172157 2\n72176908 2\n86388266 2\n276300156 2\n372073627 2\n115563598 2\n120871369 2\n426728513 2\n303793343 2\n333407597 2\n336843972 2\n351990927 2\n214563552 2\n314233224 2\n146973919 2\n102359615 2\n175601891 2\n146723331 2\n265878792 2\n304650840 2\n137384978 2\n432447527 2\n349373767 2\n215664340 2\n83987217 2\n109359522 2\n81186353 2\n127375360 2\n250223711 2\n91789654 2\n296357466 2\n17426432 2\n412060236 2\n331973826 2\n135548180 2\n148505176 2\n308996676 2\n255312654 2\n265673157 2\n277598679 2\n445815545 2\n82874583 2\n157576981 2\n47568408 2\n195383381 2\n353330370 2\n49359022 2\n352079881 2\n171231578 2\n455669215 2\n411394503 2\n131227795 2\n98272504 2\n139708684 2\n3543176 2\n52577877 2\n263309556 2\n142068 2\n105776398 2\n163718443 2\n347138034 2\n8214400 2\n396805968 2\n47219827 2\n347933755 2\n288057886 2\n205841952 2\n385179964 2\n158409643 2\n211268383 2\n94755108 2\n224358764 2\n196958323 2\n315610273 2\n67051673 2\n331882660 2\n183208722 2\n296145827 2\n328968982 2\n263113588 2\n35263811 2\n370127587 2\n387132212 2\n194918940 2\n216268688 2\n245983070 2\n88236471 2\n189561000 2\n344532884 2\n406161780 2\n238701212 2\n146067504 2\n351079978 2\n428301054 2\n357654705 2\n418707849 2\n135897880 2\n111264054 2\n14961601 2\n158102726 2\n195405216 2\n92981053 2\n318249156 2\n60677668 2\n428616977 2\n94417824 2\n420171671 2\n191505113 2\n294356475 2\n207038519 2\n11363388 2\n74054389 2\n66478796 2\n254762546 2\n448501749 2\n376115030 2\n312889640 2\n379031282 2\n155959015 2\n213335578 2\n195939697 2\n20995652 2\n29890547 2\n425773923 2\n138726350 2\n204718732 2\n127266972 2\n4739506 2\n71439965 2\n46503929 2\n441460907 2\n433135540 2\n403916282 2\n421060974 2\n150864037 2\n203513901 2\n234264526 2\n9812855 2\n231983447 2\n348682596 2\n64696841 2\n168004665 2\n167993006 2\n197427664 2\n275109468 2\n87314019 2\n12079444 2\n176325498 2\n162229403 2\n428589327 2\n148524924 2\n372957400 2\n85743942 2\n295136363 2\n249768671 2\n393915595 2\n408365878 2\n146457369 2\n45753905 2\n41578990 2\n338859894 2\n133161006 2\n265537196 2\n254044783 2\n197318802 2\n357398554 2\n259647621 2\n19274685 2\n19895307 2\n215414415 2\n290064249 2\n267194221 2\n279940983 2\n248613818 2\n452760797 2\n82171751 2\n334760237 2\n136712765 2\n281617521 2\n432433309 2\n274591623 2\n120125484 2\n258709860 2\n45516745 2\n216057080 2\n274474468 2\n377514640 2\n443675672 2\n217413163 2\n387831882 2\n61158857 2\n271428623 2\n258467407 2\n295721628 2\n91645558 2\n186117864 2\n22390160 2\n308018421 2\n40569607 2\n287634635 2\n228140020 2\n380401695 2\n89022473 2\n394920475 2\n141557124 2\n280425490 2\n84932612 2\n183195417 2\n446300447 2\n179897011 2\n261290235 2\n197489789 2\n66656673 2\n451149750 2\n293148914 2\n354131511 2\n274741091 2\n23745405 2\n205394340 2\n439427335 2\n222300292 2\n216062026 2\n90202305 2\n432827471 2\n396927075 2\n267814766 2\n307636882 2\n46612398 2\n257336127 2\n417662236 2\n395532251 2\n55674407 2\n211184676 2\n69069965 2\n304522432 2\n185933985 2\n323465607 2\n78548936 2\n357603987 2\n256479137 2\n161728352 2\n160441080 2\n136671371 2\n390753223 2\n96996891 2\n86504317 2\n179943224 2\n404201031 2\n328051557 2\n386918958 2\n344130300 2\n278793082 2\n228485801 2\n198577303 2\n161098171 2\n245104162 2\n363392949 2\n106431830 2\n275397660 2\n307793223 2\n2151988 2\n384409128 2\n287453804 2\n124416417 2\n446839273 2\n230147362 2\n418324304 2\n36641727 2\n64267744 2\n267111668 2\n404249820 2\n95220497 2\n163457901 2\n72551730 2\n65356127 2\n294483509 2\n378799575 2\n151792476 2\n64775367 2\n14340501 2\n430205066 2\n168328883 2\n346108032 2\n258814171 2\n408203456 2\n361689281 2\n99820509 2\n52095709 2\n443927570 2\n240818287 2\n193499310 2\n379515868 2\n318968958 2\n292976347 2\n59642893 2\n420460574 2\n149116399 2\n224196101 2\n29548982 2\n92116714 2\n179300954 2\n222910409 2\n133425735 2\n8976954 2\n401467473 2\n316963907 2\n119832282 2\n172153146 2\n423878952 2\n83636852 2\n402758886 2\n273880783 2\n231888410 2\n403918132 2\n31845560 2\n456872510 2\n11172871 2\n229247600 2\n174100305 2\n267619590 2\n107865759 2\n214907676 2\n294523198 2\n279619975 2\n179233883 2\n158051330 2\n171861210 2\n",
"0\n1 1\n2 1\n2 1\n2 1\n2 2\n4 2\n6 2\n",
"190496\n",
"100120\n",
"64852\n",
"61204\n"
]
} | 2CODEFORCES
|
230_A. Dragons_38238 | Kirito is stuck on a level of the MMORPG he is playing now. To move on in the game, he's got to defeat all n dragons that live on this level. Kirito and the dragons have strength, which is represented by an integer. In the duel between two opponents the duel's outcome is determined by their strength. Initially, Kirito's strength equals s.
If Kirito starts duelling with the i-th (1 ≤ i ≤ n) dragon and Kirito's strength is not greater than the dragon's strength xi, then Kirito loses the duel and dies. But if Kirito's strength is greater than the dragon's strength, then he defeats the dragon and gets a bonus strength increase by yi.
Kirito can fight the dragons in any order. Determine whether he can move on to the next level of the game, that is, defeat all dragons without a single loss.
Input
The first line contains two space-separated integers s and n (1 ≤ s ≤ 104, 1 ≤ n ≤ 103). Then n lines follow: the i-th line contains space-separated integers xi and yi (1 ≤ xi ≤ 104, 0 ≤ yi ≤ 104) — the i-th dragon's strength and the bonus for defeating it.
Output
On a single line print "YES" (without the quotes), if Kirito can move on to the next level and print "NO" (without the quotes), if he can't.
Examples
Input
2 2
1 99
100 0
Output
YES
Input
10 1
100 100
Output
NO
Note
In the first sample Kirito's strength initially equals 2. As the first dragon's strength is less than 2, Kirito can fight it and defeat it. After that he gets the bonus and his strength increases to 2 + 99 = 101. Now he can defeat the second dragon and move on to the next level.
In the second sample Kirito's strength is too small to defeat the only dragon and win. | s, n = map(int,raw_input().split())
x=[]
win=True
for i in range(n):
x.append(map(int,raw_input().split()))
x=sorted(x)
for i in range(n):
if(s>x[i][0]):
s+=x[i][1]
else:
win=False
print "YES" if win else "NO" | 1Python2
| {
"input": [
"2 2\n1 99\n100 0\n",
"10 1\n100 100\n",
"10 1\n10 10\n",
"4 2\n2 1\n10 3\n",
"2 5\n5 1\n2 1\n3 1\n1 1\n4 1\n",
"1 2\n100 1\n100 1\n",
"2 3\n1 1\n1 10\n17 2\n",
"10 10\n2 10\n3 10\n4 10\n2 20\n3 20\n3 20\n100 50\n100 30\n150 30\n200 10\n",
"6 2\n496 0\n28 8128\n",
"50 3\n39 0\n38 0\n37 0\n",
"10 1\n1 1\n",
"2 2\n3 5\n1 2\n",
"999 2\n1010 10\n67 89\n",
"123 2\n78 10\n130 0\n",
"2 2\n1 98\n100 0\n",
"4 1\n100 1000\n",
"1 2\n1 0\n1 0\n",
"9983 34\n6626 5976\n4448 3568\n2794 2309\n3741 8806\n4754 129\n2780 9275\n5785 9243\n3915 6159\n2609 4331\n238 6756\n6987 3887\n3384 5711\n4349 5563\n1135 4483\n9151 1584\n1500 766\n1608 4440\n7768 5005\n7205 2360\n9088 2933\n3923 7814\n7538 9372\n7504 165\n5277 1636\n2061 4384\n7668 1422\n9582 2121\n5483 7967\n487 2944\n7432 5794\n8208 8970\n5747 3800\n4322 3920\n8261 9319\n",
"2 5\n1 1\n2 1\n3 1\n4 1\n5 1\n",
"10 3\n12 0\n13 0\n14 0\n",
"5 1\n6 7\n",
"5 10\n20 1\n4 3\n5 1\n100 1\n4 2\n101 1\n10 0\n10 2\n17 3\n12 84\n",
"5 10\n7 0\n7 0\n10 0\n10 0\n7 2\n4 2\n9 0\n6 1\n7 0\n7 0\n",
"5 3\n13 20\n3 10\n15 5\n",
"11 2\n22 0\n33 0\n",
"100 5\n99 100\n199 1\n199 1\n199 1\n202 1\n",
"10 4\n20 1\n3 5\n2 4\n1 3\n",
"1 3\n1 10\n1 11\n1 9\n",
"1 1\n10000 1\n",
"14 3\n1 5\n1 6\n1 7\n",
"3 3\n1 1\n1 2\n4 0\n",
"1 10\n8 8\n54 3\n1 8\n26 3\n16 1\n29 9\n38 10\n57 8\n48 6\n17 9\n",
"2 2\n1 2\n3 5\n",
"10 1\n10 0\n",
"2 5\n5 1\n2 1\n3 2\n1 1\n4 1\n",
"1 2\n100 1\n101 1\n",
"2 3\n1 1\n1 10\n20 2\n",
"10 10\n2 10\n3 10\n4 10\n3 20\n3 20\n3 20\n100 50\n100 30\n150 30\n200 10\n",
"6 2\n880 0\n28 8128\n",
"50 3\n39 1\n38 0\n37 0\n",
"10 1\n1 2\n",
"999 2\n1110 10\n67 89\n",
"123 2\n78 10\n130 1\n",
"2 2\n1 98\n101 0\n",
"4 1\n100 1001\n",
"9983 34\n6626 5976\n4448 3568\n2794 2309\n3741 8806\n4754 129\n2780 9275\n5785 9243\n3915 6159\n2609 4331\n238 6756\n6987 3887\n3384 5711\n4349 5563\n1135 4483\n9151 1584\n1500 766\n1608 4440\n7768 5005\n7205 2360\n9088 2933\n3923 7814\n7538 9372\n7504 165\n5277 155\n2061 4384\n7668 1422\n9582 2121\n5483 7967\n487 2944\n7432 5794\n8208 8970\n5747 3800\n4322 3920\n8261 9319\n",
"10 3\n12 0\n13 0\n8 0\n",
"5 10\n7 0\n7 0\n10 0\n10 0\n7 2\n1 2\n9 0\n6 1\n7 0\n7 0\n",
"5 3\n13 20\n3 10\n15 8\n",
"101 5\n99 100\n199 1\n199 1\n199 1\n202 1\n",
"10 4\n20 1\n3 7\n2 4\n1 3\n",
"1 3\n1 10\n1 16\n1 9\n",
"1 1\n10010 1\n",
"14 3\n1 5\n2 6\n1 7\n",
"3 3\n1 1\n2 2\n4 0\n",
"1 10\n8 8\n54 3\n1 8\n26 3\n16 1\n29 9\n63 10\n57 8\n48 6\n17 9\n",
"4 2\n1 2\n3 5\n",
"2 2\n1 99\n101 0\n",
"10 1\n110 100\n",
"10 1\n14 0\n",
"1 5\n5 1\n2 1\n3 2\n1 1\n4 1\n",
"1 2\n100 2\n101 1\n",
"2 3\n1 1\n1 10\n24 2\n",
"10 10\n2 10\n3 10\n0 10\n3 20\n3 20\n3 20\n100 50\n100 30\n150 30\n200 10\n",
"6 2\n880 -1\n28 8128\n",
"50 3\n8 1\n38 0\n37 0\n",
"11 1\n1 2\n",
"999 2\n1110 10\n67 55\n",
"123 2\n78 4\n130 1\n",
"2 2\n1 53\n101 0\n",
"7 1\n100 1001\n",
"9983 34\n6626 5976\n4448 3568\n2794 2309\n3741 8806\n4754 129\n2780 9275\n5785 9243\n3915 6159\n2609 4331\n238 6756\n6987 3887\n3384 5711\n4349 5563\n1135 4483\n9151 1584\n1500 766\n1608 4440\n7768 5005\n7205 2360\n9088 2933\n3923 6845\n7538 9372\n7504 165\n5277 155\n2061 4384\n7668 1422\n9582 2121\n5483 7967\n487 2944\n7432 5794\n8208 8970\n5747 3800\n4322 3920\n8261 9319\n",
"0 10\n7 0\n7 0\n10 0\n10 0\n7 2\n1 2\n9 0\n6 1\n7 0\n7 0\n",
"5 3\n13 20\n5 10\n15 8\n",
"101 5\n99 100\n199 2\n199 1\n199 1\n202 1\n",
"10 4\n40 1\n3 7\n2 4\n1 3\n",
"0 3\n1 10\n1 16\n1 9\n",
"2 1\n10010 1\n",
"14 3\n2 5\n2 6\n1 7\n",
"3 3\n1 2\n2 2\n4 0\n",
"1 10\n8 8\n54 3\n1 8\n26 3\n16 2\n29 9\n63 10\n57 8\n48 6\n17 9\n",
"4 2\n1 2\n5 5\n",
"2 2\n1 99\n111 0\n",
"10 1\n110 110\n",
"1 5\n4 1\n2 1\n3 2\n1 1\n4 1\n",
"1 2\n101 2\n101 1\n",
"10 10\n2 10\n1 10\n0 10\n3 20\n3 20\n3 20\n100 50\n100 30\n150 30\n200 10\n",
"50 3\n8 1\n38 0\n37 -1\n",
"11 1\n2 2\n",
"999 2\n1110 10\n67 56\n",
"7 1\n110 1001\n",
"9983 34\n6626 5976\n4448 3568\n2794 2309\n3741 8806\n4754 129\n2780 9275\n5785 9243\n3915 6159\n2609 4331\n238 6756\n6987 3887\n3384 5711\n4349 5563\n1135 4483\n9151 1584\n1500 766\n1608 4440\n7768 5005\n7205 2360\n9088 2933\n3923 6845\n7538 9372\n7504 165\n5277 155\n2061 4384\n7668 1422\n3922 2121\n5483 7967\n487 2944\n7432 5794\n8208 8970\n5747 3800\n4322 3920\n8261 9319\n",
"0 10\n7 0\n7 0\n10 0\n10 0\n7 2\n1 2\n9 0\n6 0\n7 0\n7 0\n",
"5 3\n13 20\n6 10\n15 8\n",
"10 4\n43 1\n3 7\n2 4\n1 3\n",
"0 3\n1 10\n1 16\n1 15\n",
"2 1\n10000 1\n",
"14 3\n2 5\n2 7\n1 7\n",
"3 3\n0 2\n2 2\n4 0\n",
"1 10\n8 8\n54 3\n1 8\n26 3\n16 2\n29 9\n63 10\n57 8\n48 0\n17 9\n",
"4 2\n1 2\n5 10\n",
"17 1\n110 110\n",
"2 5\n4 1\n2 1\n3 2\n1 1\n4 1\n"
],
"output": [
"YES\n",
"NO\n",
"NO\n",
"NO\n",
"YES\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"YES\n",
"YES\n",
"YES\n",
"YES\n",
"YES\n",
"NO\n",
"NO\n",
"NO\n",
"YES\n",
"YES\n",
"NO\n",
"NO\n",
"YES\n",
"NO\n",
"YES\n",
"NO\n",
"YES\n",
"YES\n",
"NO\n",
"NO\n",
"YES\n",
"YES\n",
"NO\n",
"YES\n",
"NO\n",
"YES\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"YES\n",
"YES\n",
"NO\n",
"YES\n",
"NO\n",
"NO\n",
"YES\n",
"NO\n",
"NO\n",
"YES\n",
"YES\n",
"YES\n",
"NO\n",
"NO\n",
"YES\n",
"YES\n",
"NO\n",
"YES\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"YES\n",
"YES\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"YES\n",
"NO\n",
"NO\n",
"YES\n",
"NO\n",
"NO\n",
"NO\n",
"YES\n",
"YES\n",
"NO\n",
"YES\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"YES\n",
"YES\n",
"NO\n",
"NO\n",
"YES\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"YES\n",
"YES\n",
"NO\n",
"YES\n",
"NO\n",
"YES\n"
]
} | 2CODEFORCES
|
230_A. Dragons_38239 | Kirito is stuck on a level of the MMORPG he is playing now. To move on in the game, he's got to defeat all n dragons that live on this level. Kirito and the dragons have strength, which is represented by an integer. In the duel between two opponents the duel's outcome is determined by their strength. Initially, Kirito's strength equals s.
If Kirito starts duelling with the i-th (1 ≤ i ≤ n) dragon and Kirito's strength is not greater than the dragon's strength xi, then Kirito loses the duel and dies. But if Kirito's strength is greater than the dragon's strength, then he defeats the dragon and gets a bonus strength increase by yi.
Kirito can fight the dragons in any order. Determine whether he can move on to the next level of the game, that is, defeat all dragons without a single loss.
Input
The first line contains two space-separated integers s and n (1 ≤ s ≤ 104, 1 ≤ n ≤ 103). Then n lines follow: the i-th line contains space-separated integers xi and yi (1 ≤ xi ≤ 104, 0 ≤ yi ≤ 104) — the i-th dragon's strength and the bonus for defeating it.
Output
On a single line print "YES" (without the quotes), if Kirito can move on to the next level and print "NO" (without the quotes), if he can't.
Examples
Input
2 2
1 99
100 0
Output
YES
Input
10 1
100 100
Output
NO
Note
In the first sample Kirito's strength initially equals 2. As the first dragon's strength is less than 2, Kirito can fight it and defeat it. After that he gets the bonus and his strength increases to 2 + 99 = 101. Now he can defeat the second dragon and move on to the next level.
In the second sample Kirito's strength is too small to defeat the only dragon and win. | #include <bits/stdc++.h>
using namespace std;
int main() {
int S, n;
cin >> S >> n;
pair<int, int> p[n];
bool f = 0;
for (int i = 0; i < n; i++) {
cin >> p[i].first >> p[i].second;
}
sort(p, p + n);
for (int i = 0; i < n; i++) {
if (S > p[i].first)
S += p[i].second;
else
f = 1;
}
if (f)
printf("NO");
else
printf("YES");
}
| 2C++
| {
"input": [
"2 2\n1 99\n100 0\n",
"10 1\n100 100\n",
"10 1\n10 10\n",
"4 2\n2 1\n10 3\n",
"2 5\n5 1\n2 1\n3 1\n1 1\n4 1\n",
"1 2\n100 1\n100 1\n",
"2 3\n1 1\n1 10\n17 2\n",
"10 10\n2 10\n3 10\n4 10\n2 20\n3 20\n3 20\n100 50\n100 30\n150 30\n200 10\n",
"6 2\n496 0\n28 8128\n",
"50 3\n39 0\n38 0\n37 0\n",
"10 1\n1 1\n",
"2 2\n3 5\n1 2\n",
"999 2\n1010 10\n67 89\n",
"123 2\n78 10\n130 0\n",
"2 2\n1 98\n100 0\n",
"4 1\n100 1000\n",
"1 2\n1 0\n1 0\n",
"9983 34\n6626 5976\n4448 3568\n2794 2309\n3741 8806\n4754 129\n2780 9275\n5785 9243\n3915 6159\n2609 4331\n238 6756\n6987 3887\n3384 5711\n4349 5563\n1135 4483\n9151 1584\n1500 766\n1608 4440\n7768 5005\n7205 2360\n9088 2933\n3923 7814\n7538 9372\n7504 165\n5277 1636\n2061 4384\n7668 1422\n9582 2121\n5483 7967\n487 2944\n7432 5794\n8208 8970\n5747 3800\n4322 3920\n8261 9319\n",
"2 5\n1 1\n2 1\n3 1\n4 1\n5 1\n",
"10 3\n12 0\n13 0\n14 0\n",
"5 1\n6 7\n",
"5 10\n20 1\n4 3\n5 1\n100 1\n4 2\n101 1\n10 0\n10 2\n17 3\n12 84\n",
"5 10\n7 0\n7 0\n10 0\n10 0\n7 2\n4 2\n9 0\n6 1\n7 0\n7 0\n",
"5 3\n13 20\n3 10\n15 5\n",
"11 2\n22 0\n33 0\n",
"100 5\n99 100\n199 1\n199 1\n199 1\n202 1\n",
"10 4\n20 1\n3 5\n2 4\n1 3\n",
"1 3\n1 10\n1 11\n1 9\n",
"1 1\n10000 1\n",
"14 3\n1 5\n1 6\n1 7\n",
"3 3\n1 1\n1 2\n4 0\n",
"1 10\n8 8\n54 3\n1 8\n26 3\n16 1\n29 9\n38 10\n57 8\n48 6\n17 9\n",
"2 2\n1 2\n3 5\n",
"10 1\n10 0\n",
"2 5\n5 1\n2 1\n3 2\n1 1\n4 1\n",
"1 2\n100 1\n101 1\n",
"2 3\n1 1\n1 10\n20 2\n",
"10 10\n2 10\n3 10\n4 10\n3 20\n3 20\n3 20\n100 50\n100 30\n150 30\n200 10\n",
"6 2\n880 0\n28 8128\n",
"50 3\n39 1\n38 0\n37 0\n",
"10 1\n1 2\n",
"999 2\n1110 10\n67 89\n",
"123 2\n78 10\n130 1\n",
"2 2\n1 98\n101 0\n",
"4 1\n100 1001\n",
"9983 34\n6626 5976\n4448 3568\n2794 2309\n3741 8806\n4754 129\n2780 9275\n5785 9243\n3915 6159\n2609 4331\n238 6756\n6987 3887\n3384 5711\n4349 5563\n1135 4483\n9151 1584\n1500 766\n1608 4440\n7768 5005\n7205 2360\n9088 2933\n3923 7814\n7538 9372\n7504 165\n5277 155\n2061 4384\n7668 1422\n9582 2121\n5483 7967\n487 2944\n7432 5794\n8208 8970\n5747 3800\n4322 3920\n8261 9319\n",
"10 3\n12 0\n13 0\n8 0\n",
"5 10\n7 0\n7 0\n10 0\n10 0\n7 2\n1 2\n9 0\n6 1\n7 0\n7 0\n",
"5 3\n13 20\n3 10\n15 8\n",
"101 5\n99 100\n199 1\n199 1\n199 1\n202 1\n",
"10 4\n20 1\n3 7\n2 4\n1 3\n",
"1 3\n1 10\n1 16\n1 9\n",
"1 1\n10010 1\n",
"14 3\n1 5\n2 6\n1 7\n",
"3 3\n1 1\n2 2\n4 0\n",
"1 10\n8 8\n54 3\n1 8\n26 3\n16 1\n29 9\n63 10\n57 8\n48 6\n17 9\n",
"4 2\n1 2\n3 5\n",
"2 2\n1 99\n101 0\n",
"10 1\n110 100\n",
"10 1\n14 0\n",
"1 5\n5 1\n2 1\n3 2\n1 1\n4 1\n",
"1 2\n100 2\n101 1\n",
"2 3\n1 1\n1 10\n24 2\n",
"10 10\n2 10\n3 10\n0 10\n3 20\n3 20\n3 20\n100 50\n100 30\n150 30\n200 10\n",
"6 2\n880 -1\n28 8128\n",
"50 3\n8 1\n38 0\n37 0\n",
"11 1\n1 2\n",
"999 2\n1110 10\n67 55\n",
"123 2\n78 4\n130 1\n",
"2 2\n1 53\n101 0\n",
"7 1\n100 1001\n",
"9983 34\n6626 5976\n4448 3568\n2794 2309\n3741 8806\n4754 129\n2780 9275\n5785 9243\n3915 6159\n2609 4331\n238 6756\n6987 3887\n3384 5711\n4349 5563\n1135 4483\n9151 1584\n1500 766\n1608 4440\n7768 5005\n7205 2360\n9088 2933\n3923 6845\n7538 9372\n7504 165\n5277 155\n2061 4384\n7668 1422\n9582 2121\n5483 7967\n487 2944\n7432 5794\n8208 8970\n5747 3800\n4322 3920\n8261 9319\n",
"0 10\n7 0\n7 0\n10 0\n10 0\n7 2\n1 2\n9 0\n6 1\n7 0\n7 0\n",
"5 3\n13 20\n5 10\n15 8\n",
"101 5\n99 100\n199 2\n199 1\n199 1\n202 1\n",
"10 4\n40 1\n3 7\n2 4\n1 3\n",
"0 3\n1 10\n1 16\n1 9\n",
"2 1\n10010 1\n",
"14 3\n2 5\n2 6\n1 7\n",
"3 3\n1 2\n2 2\n4 0\n",
"1 10\n8 8\n54 3\n1 8\n26 3\n16 2\n29 9\n63 10\n57 8\n48 6\n17 9\n",
"4 2\n1 2\n5 5\n",
"2 2\n1 99\n111 0\n",
"10 1\n110 110\n",
"1 5\n4 1\n2 1\n3 2\n1 1\n4 1\n",
"1 2\n101 2\n101 1\n",
"10 10\n2 10\n1 10\n0 10\n3 20\n3 20\n3 20\n100 50\n100 30\n150 30\n200 10\n",
"50 3\n8 1\n38 0\n37 -1\n",
"11 1\n2 2\n",
"999 2\n1110 10\n67 56\n",
"7 1\n110 1001\n",
"9983 34\n6626 5976\n4448 3568\n2794 2309\n3741 8806\n4754 129\n2780 9275\n5785 9243\n3915 6159\n2609 4331\n238 6756\n6987 3887\n3384 5711\n4349 5563\n1135 4483\n9151 1584\n1500 766\n1608 4440\n7768 5005\n7205 2360\n9088 2933\n3923 6845\n7538 9372\n7504 165\n5277 155\n2061 4384\n7668 1422\n3922 2121\n5483 7967\n487 2944\n7432 5794\n8208 8970\n5747 3800\n4322 3920\n8261 9319\n",
"0 10\n7 0\n7 0\n10 0\n10 0\n7 2\n1 2\n9 0\n6 0\n7 0\n7 0\n",
"5 3\n13 20\n6 10\n15 8\n",
"10 4\n43 1\n3 7\n2 4\n1 3\n",
"0 3\n1 10\n1 16\n1 15\n",
"2 1\n10000 1\n",
"14 3\n2 5\n2 7\n1 7\n",
"3 3\n0 2\n2 2\n4 0\n",
"1 10\n8 8\n54 3\n1 8\n26 3\n16 2\n29 9\n63 10\n57 8\n48 0\n17 9\n",
"4 2\n1 2\n5 10\n",
"17 1\n110 110\n",
"2 5\n4 1\n2 1\n3 2\n1 1\n4 1\n"
],
"output": [
"YES\n",
"NO\n",
"NO\n",
"NO\n",
"YES\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"YES\n",
"YES\n",
"YES\n",
"YES\n",
"YES\n",
"NO\n",
"NO\n",
"NO\n",
"YES\n",
"YES\n",
"NO\n",
"NO\n",
"YES\n",
"NO\n",
"YES\n",
"NO\n",
"YES\n",
"YES\n",
"NO\n",
"NO\n",
"YES\n",
"YES\n",
"NO\n",
"YES\n",
"NO\n",
"YES\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"YES\n",
"YES\n",
"NO\n",
"YES\n",
"NO\n",
"NO\n",
"YES\n",
"NO\n",
"NO\n",
"YES\n",
"YES\n",
"YES\n",
"NO\n",
"NO\n",
"YES\n",
"YES\n",
"NO\n",
"YES\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"YES\n",
"YES\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"YES\n",
"NO\n",
"NO\n",
"YES\n",
"NO\n",
"NO\n",
"NO\n",
"YES\n",
"YES\n",
"NO\n",
"YES\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"YES\n",
"YES\n",
"NO\n",
"NO\n",
"YES\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"YES\n",
"YES\n",
"NO\n",
"YES\n",
"NO\n",
"YES\n"
]
} | 2CODEFORCES
|
230_A. Dragons_38240 | Kirito is stuck on a level of the MMORPG he is playing now. To move on in the game, he's got to defeat all n dragons that live on this level. Kirito and the dragons have strength, which is represented by an integer. In the duel between two opponents the duel's outcome is determined by their strength. Initially, Kirito's strength equals s.
If Kirito starts duelling with the i-th (1 ≤ i ≤ n) dragon and Kirito's strength is not greater than the dragon's strength xi, then Kirito loses the duel and dies. But if Kirito's strength is greater than the dragon's strength, then he defeats the dragon and gets a bonus strength increase by yi.
Kirito can fight the dragons in any order. Determine whether he can move on to the next level of the game, that is, defeat all dragons without a single loss.
Input
The first line contains two space-separated integers s and n (1 ≤ s ≤ 104, 1 ≤ n ≤ 103). Then n lines follow: the i-th line contains space-separated integers xi and yi (1 ≤ xi ≤ 104, 0 ≤ yi ≤ 104) — the i-th dragon's strength and the bonus for defeating it.
Output
On a single line print "YES" (without the quotes), if Kirito can move on to the next level and print "NO" (without the quotes), if he can't.
Examples
Input
2 2
1 99
100 0
Output
YES
Input
10 1
100 100
Output
NO
Note
In the first sample Kirito's strength initially equals 2. As the first dragon's strength is less than 2, Kirito can fight it and defeat it. After that he gets the bonus and his strength increases to 2 + 99 = 101. Now he can defeat the second dragon and move on to the next level.
In the second sample Kirito's strength is too small to defeat the only dragon and win. | n,m=map(int, input().split())
r=3
ar=[]
for i in range (m):
q=list(map(int, input().split()))
ar.append (q)
ar.sort()
for i in range (m):
if n>ar[i][0]:
n+=ar[i][1]
else:
r=5
print ('NO')
break
if r!=5:
print ('YES') | 3Python3
| {
"input": [
"2 2\n1 99\n100 0\n",
"10 1\n100 100\n",
"10 1\n10 10\n",
"4 2\n2 1\n10 3\n",
"2 5\n5 1\n2 1\n3 1\n1 1\n4 1\n",
"1 2\n100 1\n100 1\n",
"2 3\n1 1\n1 10\n17 2\n",
"10 10\n2 10\n3 10\n4 10\n2 20\n3 20\n3 20\n100 50\n100 30\n150 30\n200 10\n",
"6 2\n496 0\n28 8128\n",
"50 3\n39 0\n38 0\n37 0\n",
"10 1\n1 1\n",
"2 2\n3 5\n1 2\n",
"999 2\n1010 10\n67 89\n",
"123 2\n78 10\n130 0\n",
"2 2\n1 98\n100 0\n",
"4 1\n100 1000\n",
"1 2\n1 0\n1 0\n",
"9983 34\n6626 5976\n4448 3568\n2794 2309\n3741 8806\n4754 129\n2780 9275\n5785 9243\n3915 6159\n2609 4331\n238 6756\n6987 3887\n3384 5711\n4349 5563\n1135 4483\n9151 1584\n1500 766\n1608 4440\n7768 5005\n7205 2360\n9088 2933\n3923 7814\n7538 9372\n7504 165\n5277 1636\n2061 4384\n7668 1422\n9582 2121\n5483 7967\n487 2944\n7432 5794\n8208 8970\n5747 3800\n4322 3920\n8261 9319\n",
"2 5\n1 1\n2 1\n3 1\n4 1\n5 1\n",
"10 3\n12 0\n13 0\n14 0\n",
"5 1\n6 7\n",
"5 10\n20 1\n4 3\n5 1\n100 1\n4 2\n101 1\n10 0\n10 2\n17 3\n12 84\n",
"5 10\n7 0\n7 0\n10 0\n10 0\n7 2\n4 2\n9 0\n6 1\n7 0\n7 0\n",
"5 3\n13 20\n3 10\n15 5\n",
"11 2\n22 0\n33 0\n",
"100 5\n99 100\n199 1\n199 1\n199 1\n202 1\n",
"10 4\n20 1\n3 5\n2 4\n1 3\n",
"1 3\n1 10\n1 11\n1 9\n",
"1 1\n10000 1\n",
"14 3\n1 5\n1 6\n1 7\n",
"3 3\n1 1\n1 2\n4 0\n",
"1 10\n8 8\n54 3\n1 8\n26 3\n16 1\n29 9\n38 10\n57 8\n48 6\n17 9\n",
"2 2\n1 2\n3 5\n",
"10 1\n10 0\n",
"2 5\n5 1\n2 1\n3 2\n1 1\n4 1\n",
"1 2\n100 1\n101 1\n",
"2 3\n1 1\n1 10\n20 2\n",
"10 10\n2 10\n3 10\n4 10\n3 20\n3 20\n3 20\n100 50\n100 30\n150 30\n200 10\n",
"6 2\n880 0\n28 8128\n",
"50 3\n39 1\n38 0\n37 0\n",
"10 1\n1 2\n",
"999 2\n1110 10\n67 89\n",
"123 2\n78 10\n130 1\n",
"2 2\n1 98\n101 0\n",
"4 1\n100 1001\n",
"9983 34\n6626 5976\n4448 3568\n2794 2309\n3741 8806\n4754 129\n2780 9275\n5785 9243\n3915 6159\n2609 4331\n238 6756\n6987 3887\n3384 5711\n4349 5563\n1135 4483\n9151 1584\n1500 766\n1608 4440\n7768 5005\n7205 2360\n9088 2933\n3923 7814\n7538 9372\n7504 165\n5277 155\n2061 4384\n7668 1422\n9582 2121\n5483 7967\n487 2944\n7432 5794\n8208 8970\n5747 3800\n4322 3920\n8261 9319\n",
"10 3\n12 0\n13 0\n8 0\n",
"5 10\n7 0\n7 0\n10 0\n10 0\n7 2\n1 2\n9 0\n6 1\n7 0\n7 0\n",
"5 3\n13 20\n3 10\n15 8\n",
"101 5\n99 100\n199 1\n199 1\n199 1\n202 1\n",
"10 4\n20 1\n3 7\n2 4\n1 3\n",
"1 3\n1 10\n1 16\n1 9\n",
"1 1\n10010 1\n",
"14 3\n1 5\n2 6\n1 7\n",
"3 3\n1 1\n2 2\n4 0\n",
"1 10\n8 8\n54 3\n1 8\n26 3\n16 1\n29 9\n63 10\n57 8\n48 6\n17 9\n",
"4 2\n1 2\n3 5\n",
"2 2\n1 99\n101 0\n",
"10 1\n110 100\n",
"10 1\n14 0\n",
"1 5\n5 1\n2 1\n3 2\n1 1\n4 1\n",
"1 2\n100 2\n101 1\n",
"2 3\n1 1\n1 10\n24 2\n",
"10 10\n2 10\n3 10\n0 10\n3 20\n3 20\n3 20\n100 50\n100 30\n150 30\n200 10\n",
"6 2\n880 -1\n28 8128\n",
"50 3\n8 1\n38 0\n37 0\n",
"11 1\n1 2\n",
"999 2\n1110 10\n67 55\n",
"123 2\n78 4\n130 1\n",
"2 2\n1 53\n101 0\n",
"7 1\n100 1001\n",
"9983 34\n6626 5976\n4448 3568\n2794 2309\n3741 8806\n4754 129\n2780 9275\n5785 9243\n3915 6159\n2609 4331\n238 6756\n6987 3887\n3384 5711\n4349 5563\n1135 4483\n9151 1584\n1500 766\n1608 4440\n7768 5005\n7205 2360\n9088 2933\n3923 6845\n7538 9372\n7504 165\n5277 155\n2061 4384\n7668 1422\n9582 2121\n5483 7967\n487 2944\n7432 5794\n8208 8970\n5747 3800\n4322 3920\n8261 9319\n",
"0 10\n7 0\n7 0\n10 0\n10 0\n7 2\n1 2\n9 0\n6 1\n7 0\n7 0\n",
"5 3\n13 20\n5 10\n15 8\n",
"101 5\n99 100\n199 2\n199 1\n199 1\n202 1\n",
"10 4\n40 1\n3 7\n2 4\n1 3\n",
"0 3\n1 10\n1 16\n1 9\n",
"2 1\n10010 1\n",
"14 3\n2 5\n2 6\n1 7\n",
"3 3\n1 2\n2 2\n4 0\n",
"1 10\n8 8\n54 3\n1 8\n26 3\n16 2\n29 9\n63 10\n57 8\n48 6\n17 9\n",
"4 2\n1 2\n5 5\n",
"2 2\n1 99\n111 0\n",
"10 1\n110 110\n",
"1 5\n4 1\n2 1\n3 2\n1 1\n4 1\n",
"1 2\n101 2\n101 1\n",
"10 10\n2 10\n1 10\n0 10\n3 20\n3 20\n3 20\n100 50\n100 30\n150 30\n200 10\n",
"50 3\n8 1\n38 0\n37 -1\n",
"11 1\n2 2\n",
"999 2\n1110 10\n67 56\n",
"7 1\n110 1001\n",
"9983 34\n6626 5976\n4448 3568\n2794 2309\n3741 8806\n4754 129\n2780 9275\n5785 9243\n3915 6159\n2609 4331\n238 6756\n6987 3887\n3384 5711\n4349 5563\n1135 4483\n9151 1584\n1500 766\n1608 4440\n7768 5005\n7205 2360\n9088 2933\n3923 6845\n7538 9372\n7504 165\n5277 155\n2061 4384\n7668 1422\n3922 2121\n5483 7967\n487 2944\n7432 5794\n8208 8970\n5747 3800\n4322 3920\n8261 9319\n",
"0 10\n7 0\n7 0\n10 0\n10 0\n7 2\n1 2\n9 0\n6 0\n7 0\n7 0\n",
"5 3\n13 20\n6 10\n15 8\n",
"10 4\n43 1\n3 7\n2 4\n1 3\n",
"0 3\n1 10\n1 16\n1 15\n",
"2 1\n10000 1\n",
"14 3\n2 5\n2 7\n1 7\n",
"3 3\n0 2\n2 2\n4 0\n",
"1 10\n8 8\n54 3\n1 8\n26 3\n16 2\n29 9\n63 10\n57 8\n48 0\n17 9\n",
"4 2\n1 2\n5 10\n",
"17 1\n110 110\n",
"2 5\n4 1\n2 1\n3 2\n1 1\n4 1\n"
],
"output": [
"YES\n",
"NO\n",
"NO\n",
"NO\n",
"YES\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"YES\n",
"YES\n",
"YES\n",
"YES\n",
"YES\n",
"NO\n",
"NO\n",
"NO\n",
"YES\n",
"YES\n",
"NO\n",
"NO\n",
"YES\n",
"NO\n",
"YES\n",
"NO\n",
"YES\n",
"YES\n",
"NO\n",
"NO\n",
"YES\n",
"YES\n",
"NO\n",
"YES\n",
"NO\n",
"YES\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"YES\n",
"YES\n",
"NO\n",
"YES\n",
"NO\n",
"NO\n",
"YES\n",
"NO\n",
"NO\n",
"YES\n",
"YES\n",
"YES\n",
"NO\n",
"NO\n",
"YES\n",
"YES\n",
"NO\n",
"YES\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"YES\n",
"YES\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"YES\n",
"NO\n",
"NO\n",
"YES\n",
"NO\n",
"NO\n",
"NO\n",
"YES\n",
"YES\n",
"NO\n",
"YES\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"YES\n",
"YES\n",
"NO\n",
"NO\n",
"YES\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"YES\n",
"YES\n",
"NO\n",
"YES\n",
"NO\n",
"YES\n"
]
} | 2CODEFORCES
|
230_A. Dragons_38241 | Kirito is stuck on a level of the MMORPG he is playing now. To move on in the game, he's got to defeat all n dragons that live on this level. Kirito and the dragons have strength, which is represented by an integer. In the duel between two opponents the duel's outcome is determined by their strength. Initially, Kirito's strength equals s.
If Kirito starts duelling with the i-th (1 ≤ i ≤ n) dragon and Kirito's strength is not greater than the dragon's strength xi, then Kirito loses the duel and dies. But if Kirito's strength is greater than the dragon's strength, then he defeats the dragon and gets a bonus strength increase by yi.
Kirito can fight the dragons in any order. Determine whether he can move on to the next level of the game, that is, defeat all dragons without a single loss.
Input
The first line contains two space-separated integers s and n (1 ≤ s ≤ 104, 1 ≤ n ≤ 103). Then n lines follow: the i-th line contains space-separated integers xi and yi (1 ≤ xi ≤ 104, 0 ≤ yi ≤ 104) — the i-th dragon's strength and the bonus for defeating it.
Output
On a single line print "YES" (without the quotes), if Kirito can move on to the next level and print "NO" (without the quotes), if he can't.
Examples
Input
2 2
1 99
100 0
Output
YES
Input
10 1
100 100
Output
NO
Note
In the first sample Kirito's strength initially equals 2. As the first dragon's strength is less than 2, Kirito can fight it and defeat it. After that he gets the bonus and his strength increases to 2 + 99 = 101. Now he can defeat the second dragon and move on to the next level.
In the second sample Kirito's strength is too small to defeat the only dragon and win. | import java.util.*;
public class Main
{
public static void main(String[] args)
{
Scanner sc = new Scanner(System.in);
int s = sc.nextInt();
int n = sc.nextInt();
int[] reqS = new int[n];
int[] gainS = new int[n];
int ctr = 1;
for(int i = 0; i < n; i++)
{
reqS[i] = sc.nextInt();
gainS[i] = sc.nextInt();
}
while(ctr != 0)
{
ctr = 0;
for(int i = 0; i < n; i++)
{
if(reqS[i] < s)
{
s += gainS[i];
reqS[i] = 10000000;
ctr++;
}
}
}
if(win(reqS))
{
System.out.println("YES");
}
else
{
System.out.println("NO");
}
}
static boolean win(int[] x)
{
for(int i = 0; i < x.length; i++)
{
if(x[i] != 10000000)
{
return false;
}
}
return true;
}
} | 4JAVA
| {
"input": [
"2 2\n1 99\n100 0\n",
"10 1\n100 100\n",
"10 1\n10 10\n",
"4 2\n2 1\n10 3\n",
"2 5\n5 1\n2 1\n3 1\n1 1\n4 1\n",
"1 2\n100 1\n100 1\n",
"2 3\n1 1\n1 10\n17 2\n",
"10 10\n2 10\n3 10\n4 10\n2 20\n3 20\n3 20\n100 50\n100 30\n150 30\n200 10\n",
"6 2\n496 0\n28 8128\n",
"50 3\n39 0\n38 0\n37 0\n",
"10 1\n1 1\n",
"2 2\n3 5\n1 2\n",
"999 2\n1010 10\n67 89\n",
"123 2\n78 10\n130 0\n",
"2 2\n1 98\n100 0\n",
"4 1\n100 1000\n",
"1 2\n1 0\n1 0\n",
"9983 34\n6626 5976\n4448 3568\n2794 2309\n3741 8806\n4754 129\n2780 9275\n5785 9243\n3915 6159\n2609 4331\n238 6756\n6987 3887\n3384 5711\n4349 5563\n1135 4483\n9151 1584\n1500 766\n1608 4440\n7768 5005\n7205 2360\n9088 2933\n3923 7814\n7538 9372\n7504 165\n5277 1636\n2061 4384\n7668 1422\n9582 2121\n5483 7967\n487 2944\n7432 5794\n8208 8970\n5747 3800\n4322 3920\n8261 9319\n",
"2 5\n1 1\n2 1\n3 1\n4 1\n5 1\n",
"10 3\n12 0\n13 0\n14 0\n",
"5 1\n6 7\n",
"5 10\n20 1\n4 3\n5 1\n100 1\n4 2\n101 1\n10 0\n10 2\n17 3\n12 84\n",
"5 10\n7 0\n7 0\n10 0\n10 0\n7 2\n4 2\n9 0\n6 1\n7 0\n7 0\n",
"5 3\n13 20\n3 10\n15 5\n",
"11 2\n22 0\n33 0\n",
"100 5\n99 100\n199 1\n199 1\n199 1\n202 1\n",
"10 4\n20 1\n3 5\n2 4\n1 3\n",
"1 3\n1 10\n1 11\n1 9\n",
"1 1\n10000 1\n",
"14 3\n1 5\n1 6\n1 7\n",
"3 3\n1 1\n1 2\n4 0\n",
"1 10\n8 8\n54 3\n1 8\n26 3\n16 1\n29 9\n38 10\n57 8\n48 6\n17 9\n",
"2 2\n1 2\n3 5\n",
"10 1\n10 0\n",
"2 5\n5 1\n2 1\n3 2\n1 1\n4 1\n",
"1 2\n100 1\n101 1\n",
"2 3\n1 1\n1 10\n20 2\n",
"10 10\n2 10\n3 10\n4 10\n3 20\n3 20\n3 20\n100 50\n100 30\n150 30\n200 10\n",
"6 2\n880 0\n28 8128\n",
"50 3\n39 1\n38 0\n37 0\n",
"10 1\n1 2\n",
"999 2\n1110 10\n67 89\n",
"123 2\n78 10\n130 1\n",
"2 2\n1 98\n101 0\n",
"4 1\n100 1001\n",
"9983 34\n6626 5976\n4448 3568\n2794 2309\n3741 8806\n4754 129\n2780 9275\n5785 9243\n3915 6159\n2609 4331\n238 6756\n6987 3887\n3384 5711\n4349 5563\n1135 4483\n9151 1584\n1500 766\n1608 4440\n7768 5005\n7205 2360\n9088 2933\n3923 7814\n7538 9372\n7504 165\n5277 155\n2061 4384\n7668 1422\n9582 2121\n5483 7967\n487 2944\n7432 5794\n8208 8970\n5747 3800\n4322 3920\n8261 9319\n",
"10 3\n12 0\n13 0\n8 0\n",
"5 10\n7 0\n7 0\n10 0\n10 0\n7 2\n1 2\n9 0\n6 1\n7 0\n7 0\n",
"5 3\n13 20\n3 10\n15 8\n",
"101 5\n99 100\n199 1\n199 1\n199 1\n202 1\n",
"10 4\n20 1\n3 7\n2 4\n1 3\n",
"1 3\n1 10\n1 16\n1 9\n",
"1 1\n10010 1\n",
"14 3\n1 5\n2 6\n1 7\n",
"3 3\n1 1\n2 2\n4 0\n",
"1 10\n8 8\n54 3\n1 8\n26 3\n16 1\n29 9\n63 10\n57 8\n48 6\n17 9\n",
"4 2\n1 2\n3 5\n",
"2 2\n1 99\n101 0\n",
"10 1\n110 100\n",
"10 1\n14 0\n",
"1 5\n5 1\n2 1\n3 2\n1 1\n4 1\n",
"1 2\n100 2\n101 1\n",
"2 3\n1 1\n1 10\n24 2\n",
"10 10\n2 10\n3 10\n0 10\n3 20\n3 20\n3 20\n100 50\n100 30\n150 30\n200 10\n",
"6 2\n880 -1\n28 8128\n",
"50 3\n8 1\n38 0\n37 0\n",
"11 1\n1 2\n",
"999 2\n1110 10\n67 55\n",
"123 2\n78 4\n130 1\n",
"2 2\n1 53\n101 0\n",
"7 1\n100 1001\n",
"9983 34\n6626 5976\n4448 3568\n2794 2309\n3741 8806\n4754 129\n2780 9275\n5785 9243\n3915 6159\n2609 4331\n238 6756\n6987 3887\n3384 5711\n4349 5563\n1135 4483\n9151 1584\n1500 766\n1608 4440\n7768 5005\n7205 2360\n9088 2933\n3923 6845\n7538 9372\n7504 165\n5277 155\n2061 4384\n7668 1422\n9582 2121\n5483 7967\n487 2944\n7432 5794\n8208 8970\n5747 3800\n4322 3920\n8261 9319\n",
"0 10\n7 0\n7 0\n10 0\n10 0\n7 2\n1 2\n9 0\n6 1\n7 0\n7 0\n",
"5 3\n13 20\n5 10\n15 8\n",
"101 5\n99 100\n199 2\n199 1\n199 1\n202 1\n",
"10 4\n40 1\n3 7\n2 4\n1 3\n",
"0 3\n1 10\n1 16\n1 9\n",
"2 1\n10010 1\n",
"14 3\n2 5\n2 6\n1 7\n",
"3 3\n1 2\n2 2\n4 0\n",
"1 10\n8 8\n54 3\n1 8\n26 3\n16 2\n29 9\n63 10\n57 8\n48 6\n17 9\n",
"4 2\n1 2\n5 5\n",
"2 2\n1 99\n111 0\n",
"10 1\n110 110\n",
"1 5\n4 1\n2 1\n3 2\n1 1\n4 1\n",
"1 2\n101 2\n101 1\n",
"10 10\n2 10\n1 10\n0 10\n3 20\n3 20\n3 20\n100 50\n100 30\n150 30\n200 10\n",
"50 3\n8 1\n38 0\n37 -1\n",
"11 1\n2 2\n",
"999 2\n1110 10\n67 56\n",
"7 1\n110 1001\n",
"9983 34\n6626 5976\n4448 3568\n2794 2309\n3741 8806\n4754 129\n2780 9275\n5785 9243\n3915 6159\n2609 4331\n238 6756\n6987 3887\n3384 5711\n4349 5563\n1135 4483\n9151 1584\n1500 766\n1608 4440\n7768 5005\n7205 2360\n9088 2933\n3923 6845\n7538 9372\n7504 165\n5277 155\n2061 4384\n7668 1422\n3922 2121\n5483 7967\n487 2944\n7432 5794\n8208 8970\n5747 3800\n4322 3920\n8261 9319\n",
"0 10\n7 0\n7 0\n10 0\n10 0\n7 2\n1 2\n9 0\n6 0\n7 0\n7 0\n",
"5 3\n13 20\n6 10\n15 8\n",
"10 4\n43 1\n3 7\n2 4\n1 3\n",
"0 3\n1 10\n1 16\n1 15\n",
"2 1\n10000 1\n",
"14 3\n2 5\n2 7\n1 7\n",
"3 3\n0 2\n2 2\n4 0\n",
"1 10\n8 8\n54 3\n1 8\n26 3\n16 2\n29 9\n63 10\n57 8\n48 0\n17 9\n",
"4 2\n1 2\n5 10\n",
"17 1\n110 110\n",
"2 5\n4 1\n2 1\n3 2\n1 1\n4 1\n"
],
"output": [
"YES\n",
"NO\n",
"NO\n",
"NO\n",
"YES\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"YES\n",
"YES\n",
"YES\n",
"YES\n",
"YES\n",
"NO\n",
"NO\n",
"NO\n",
"YES\n",
"YES\n",
"NO\n",
"NO\n",
"YES\n",
"NO\n",
"YES\n",
"NO\n",
"YES\n",
"YES\n",
"NO\n",
"NO\n",
"YES\n",
"YES\n",
"NO\n",
"YES\n",
"NO\n",
"YES\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"YES\n",
"YES\n",
"NO\n",
"YES\n",
"NO\n",
"NO\n",
"YES\n",
"NO\n",
"NO\n",
"YES\n",
"YES\n",
"YES\n",
"NO\n",
"NO\n",
"YES\n",
"YES\n",
"NO\n",
"YES\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"YES\n",
"YES\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"YES\n",
"NO\n",
"NO\n",
"YES\n",
"NO\n",
"NO\n",
"NO\n",
"YES\n",
"YES\n",
"NO\n",
"YES\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"YES\n",
"YES\n",
"NO\n",
"NO\n",
"YES\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"NO\n",
"YES\n",
"YES\n",
"NO\n",
"YES\n",
"NO\n",
"YES\n"
]
} | 2CODEFORCES
|
255_E. Furlo and Rublo and Game_38242 | Furlo and Rublo play a game. The table has n piles of coins lying on it, the i-th pile has ai coins. Furlo and Rublo move in turns, Furlo moves first. In one move you are allowed to:
* choose some pile, let's denote the current number of coins in it as x;
* choose some integer y (0 ≤ y < x; x1 / 4 ≤ y ≤ x1 / 2) and decrease the number of coins in this pile to y. In other words, after the described move the pile will have y coins left.
The player who can't make a move, loses.
Your task is to find out, who wins in the given game if both Furlo and Rublo play optimally well.
Input
The first line contains integer n (1 ≤ n ≤ 77777) — the number of piles. The next line contains n integers a1, a2, ..., an (1 ≤ ai ≤ 777777777777) — the sizes of piles. The numbers are separated by single spaces.
Please, do not use the %lld specifier to read or write 64-bit integers in С++. It is preferred to use the cin, cout streams or the %I64d specifier.
Output
If both players play optimally well and Furlo wins, print "Furlo", otherwise print "Rublo". Print the answers without the quotes.
Examples
Input
1
1
Output
Rublo
Input
2
1 2
Output
Rublo
Input
10
1 2 3 4 5 6 7 8 9 10
Output
Furlo | #!/usr/bin/python
import bisect
a = [0,4,16,82,6724,15**4+1,15**8+1]
b = [0,1,2,0,3,1,2]
def sg(x) :
i = bisect.bisect_right(a,x)
return b[i-1]
n = input()
num = map(int,raw_input().split())
ans = 0
for x in num:
ans ^= sg(x)
if ans :
print "Furlo"
else :
print "Rublo"
| 1Python2
| {
"input": [
"10\n1 2 3 4 5 6 7 8 9 10\n",
"1\n1\n",
"2\n1 2\n",
"3\n2500000000 3000000000 1000\n",
"40\n20390340 659951276 660648687 283496822 238806569 452159719 595601864 88859363 448128137 173415523 155896972 382680284 143902331 67085579 251233672 507418836 451689775 116050106 716427523 453853727 199456738 546229940 582869263 697618351 329747900 595175666 532075062 296917140 143304338 761085644 190058541 514062581 467268828 71166480 353247339 637946561 480459037 610259332 639281418 540727759\n",
"2\n50626 300000\n",
"5\n1000000000 100000000 10000000 1000000 100000\n",
"2\n2562991876 16\n",
"50\n153423475 640900906 773155924 97361082 413127059 154467262 26144388 172617533 117328815 312150912 45081238 438413693 686165576 490651756 383872273 601349776 181594954 624158354 48886108 767778455 631306840 58389993 403293668 405970047 308352764 293917056 430837844 571889516 676319197 27534222 91629265 481065958 347353980 687386676 398523806 42942805 5170734 720798096 577222949 560221824 427579517 165689347 516312275 38449250 384820273 545718776 677096599 604431275 422347009 96033594\n",
"3\n10 100 10000\n",
"2\n100 777777777777\n",
"4\n2 3 9 10\n",
"2\n2500000000 3000000000\n",
"3\n10 10000 100000000000\n",
"3\n2 3 10\n",
"3\n2500000000 3000000000 1001\n",
"40\n20390340 659951276 660648687 283496822 238806569 452159719 595601864 88859363 279265318 173415523 155896972 382680284 143902331 67085579 251233672 507418836 451689775 116050106 716427523 453853727 199456738 546229940 582869263 697618351 329747900 595175666 532075062 296917140 143304338 761085644 190058541 514062581 467268828 71166480 353247339 637946561 480459037 610259332 639281418 540727759\n",
"2\n50626 74912\n",
"5\n1000001000 100000000 10000000 1000000 100000\n",
"2\n2562991876 31\n",
"50\n153423475 640900906 773155924 97361082 413127059 154467262 26144388 172617533 117328815 312150912 45081238 438413693 686165576 490651756 383872273 601349776 181594954 624158354 48886108 767778455 631306840 58389993 403293668 405970047 308352764 293917056 524282771 571889516 676319197 27534222 91629265 481065958 347353980 687386676 398523806 42942805 5170734 720798096 577222949 560221824 427579517 165689347 516312275 38449250 384820273 545718776 677096599 604431275 422347009 96033594\n",
"2\n101 777777777777\n",
"4\n2 3 2 10\n",
"2\n2500000000 650939923\n",
"3\n11 10000 100000000000\n",
"3\n2 3 15\n",
"10\n1 2 3 4 5 6 2 8 9 10\n",
"1\n2\n",
"2\n1 3\n",
"3\n2500000000 4627996199 1001\n",
"40\n20390340 659951276 660648687 283496822 401165372 452159719 595601864 88859363 279265318 173415523 155896972 382680284 143902331 67085579 251233672 507418836 451689775 116050106 716427523 453853727 199456738 546229940 582869263 697618351 329747900 595175666 532075062 296917140 143304338 761085644 190058541 514062581 467268828 71166480 353247339 637946561 480459037 610259332 639281418 540727759\n",
"2\n50626 68856\n",
"5\n1000001000 100000000 10000010 1000000 100000\n",
"2\n1831967450 31\n",
"50\n153423475 640900906 773155924 97361082 413127059 154467262 26144388 172617533 117328815 312150912 45081238 438413693 686165576 490651756 383872273 601349776 181594954 624158354 48886108 767778455 631306840 58389993 403293668 405970047 308352764 375064482 524282771 571889516 676319197 27534222 91629265 481065958 347353980 687386676 398523806 42942805 5170734 720798096 577222949 560221824 427579517 165689347 516312275 38449250 384820273 545718776 677096599 604431275 422347009 96033594\n",
"2\n001 777777777777\n",
"2\n3699378272 650939923\n",
"3\n11 10001 100000000000\n",
"3\n4 3 15\n",
"10\n1 2 3 4 7 6 2 8 9 10\n",
"1\n4\n",
"2\n2 3\n",
"3\n480483433 4627996199 1001\n",
"40\n20390340 659951276 660648687 283496822 253780334 452159719 595601864 88859363 279265318 173415523 155896972 382680284 143902331 67085579 251233672 507418836 451689775 116050106 716427523 453853727 199456738 546229940 582869263 697618351 329747900 595175666 532075062 296917140 143304338 761085644 190058541 514062581 467268828 71166480 353247339 637946561 480459037 610259332 639281418 540727759\n",
"2\n73625 68856\n",
"5\n1000001000 100000000 10000010 1000000 100010\n",
"2\n1311723747 31\n",
"50\n153423475 640900906 773155924 97361082 413127059 154467262 26144388 172617533 117328815 312150912 45081238 438413693 686165576 490651756 383872273 601349776 181594954 624158354 48886108 767778455 631306840 58389993 403293668 405970047 308352764 375064482 524282771 571889516 676319197 27534222 91629265 481065958 347353980 687386676 398523806 947896 5170734 720798096 577222949 560221824 427579517 165689347 516312275 38449250 384820273 545718776 677096599 604431275 422347009 96033594\n",
"2\n011 777777777777\n",
"2\n6352485103 650939923\n",
"3\n11 10001 100001000000\n",
"3\n4 2 15\n",
"10\n1 2 4 4 7 6 2 8 9 10\n",
"1\n8\n",
"2\n3 3\n",
"3\n480483433 4627996199 1011\n",
"40\n20390340 659951276 660648687 283496822 253780334 452159719 595601864 53347450 279265318 173415523 155896972 382680284 143902331 67085579 251233672 507418836 451689775 116050106 716427523 453853727 199456738 546229940 582869263 697618351 329747900 595175666 532075062 296917140 143304338 761085644 190058541 514062581 467268828 71166480 353247339 637946561 480459037 610259332 639281418 540727759\n",
"2\n73625 22126\n",
"5\n1000000000 100000000 10000010 1000000 100010\n",
"2\n2212954546 31\n",
"50\n153423475 640900906 773155924 97361082 413127059 154467262 26144388 172617533 117328815 312150912 45081238 438413693 686165576 490651756 383872273 601349776 181594954 624158354 48886108 767778455 631306840 58389993 403293668 405970047 308352764 375064482 524282771 571889516 676319197 40325259 91629265 481065958 347353980 687386676 398523806 947896 5170734 720798096 577222949 560221824 427579517 165689347 516312275 38449250 384820273 545718776 677096599 604431275 422347009 96033594\n",
"2\n6352485103 347804955\n",
"3\n13 10001 100001000000\n",
"3\n4 2 4\n",
"10\n1 2 5 4 7 6 2 8 9 10\n",
"1\n5\n",
"2\n3 5\n",
"3\n480483433 7241518991 1011\n",
"40\n20390340 659951276 660648687 283496822 253780334 452159719 595601864 53347450 279265318 173415523 155896972 382680284 143902331 67085579 251233672 507418836 451689775 116050106 716427523 453853727 199456738 546229940 582869263 697618351 329747900 595175666 532075062 296917140 143304338 761085644 190058541 7682274 467268828 71166480 353247339 637946561 480459037 610259332 639281418 540727759\n",
"2\n106418 22126\n",
"5\n1000000000 100000000 10000010 1000000 101010\n",
"2\n3278738 31\n",
"50\n153423475 640900906 773155924 97361082 413127059 154467262 26144388 172617533 117328815 312150912 45081238 438413693 686165576 490651756 383872273 601349776 181594954 624158354 77338561 767778455 631306840 58389993 403293668 405970047 308352764 375064482 524282771 571889516 676319197 40325259 91629265 481065958 347353980 687386676 398523806 947896 5170734 720798096 577222949 560221824 427579517 165689347 516312275 38449250 384820273 545718776 677096599 604431275 422347009 96033594\n",
"2\n6352485103 344611455\n",
"3\n25 10001 100001000000\n",
"3\n4 2 5\n",
"10\n1 2 5 4 7 3 2 8 9 10\n",
"3\n923135682 7241518991 1011\n",
"40\n20390340 659951276 660648687 283496822 253780334 452159719 595601864 53347450 279265318 138412055 155896972 382680284 143902331 67085579 251233672 507418836 451689775 116050106 716427523 453853727 199456738 546229940 582869263 697618351 329747900 595175666 532075062 296917140 143304338 761085644 190058541 7682274 467268828 71166480 353247339 637946561 480459037 610259332 639281418 540727759\n",
"2\n106418 13697\n",
"2\n3278738 58\n",
"50\n153423475 640900906 773155924 97361082 413127059 154467262 26144388 172617533 117328815 312150912 45081238 438413693 686165576 490651756 383872273 358406779 181594954 624158354 77338561 767778455 631306840 58389993 403293668 405970047 308352764 375064482 524282771 571889516 676319197 40325259 91629265 481065958 347353980 687386676 398523806 947896 5170734 720798096 577222949 560221824 427579517 165689347 516312275 38449250 384820273 545718776 677096599 604431275 422347009 96033594\n",
"2\n10543927250 344611455\n",
"3\n44 10001 100001000000\n",
"3\n4 4 5\n",
"10\n1 1 5 4 7 3 2 8 9 10\n",
"3\n923135682 12194846381 1011\n",
"40\n20390340 659951276 660648687 283496822 253780334 452159719 595601864 53347450 279265318 138412055 155896972 382680284 143902331 67085579 251233672 507418836 451689775 116050106 716427523 453853727 199456738 546229940 582869263 697618351 329747900 595175666 532075062 296917140 143304338 761085644 190058541 7682274 467268828 71166480 353247339 424062399 480459037 610259332 639281418 540727759\n"
],
"output": [
"Furlo\n",
"Rublo\n",
"Rublo\n",
"Furlo\n",
"Rublo\n",
"Rublo\n",
"Furlo\n",
"Rublo\n",
"Rublo\n",
"Furlo\n",
"Furlo\n",
"Rublo\n",
"Furlo\n",
"Rublo\n",
"Furlo\n",
"Furlo",
"Rublo",
"Rublo",
"Furlo",
"Rublo",
"Rublo",
"Furlo",
"Furlo",
"Rublo",
"Rublo",
"Furlo",
"Rublo",
"Rublo",
"Rublo",
"Furlo",
"Rublo",
"Rublo",
"Furlo",
"Furlo",
"Rublo",
"Furlo",
"Furlo",
"Rublo",
"Rublo",
"Rublo",
"Furlo",
"Rublo",
"Furlo",
"Rublo",
"Rublo",
"Furlo",
"Furlo",
"Rublo",
"Furlo",
"Furlo",
"Rublo",
"Rublo",
"Furlo",
"Furlo",
"Rublo",
"Furlo",
"Rublo",
"Furlo",
"Furlo",
"Furlo",
"Rublo",
"Furlo",
"Rublo",
"Rublo",
"Furlo",
"Furlo",
"Furlo",
"Furlo",
"Rublo",
"Furlo",
"Furlo",
"Furlo",
"Rublo",
"Furlo",
"Furlo",
"Rublo",
"Rublo",
"Furlo",
"Rublo",
"Furlo",
"Furlo",
"Rublo",
"Furlo",
"Furlo",
"Furlo",
"Rublo",
"Furlo",
"Rublo"
]
} | 2CODEFORCES
|
255_E. Furlo and Rublo and Game_38243 | Furlo and Rublo play a game. The table has n piles of coins lying on it, the i-th pile has ai coins. Furlo and Rublo move in turns, Furlo moves first. In one move you are allowed to:
* choose some pile, let's denote the current number of coins in it as x;
* choose some integer y (0 ≤ y < x; x1 / 4 ≤ y ≤ x1 / 2) and decrease the number of coins in this pile to y. In other words, after the described move the pile will have y coins left.
The player who can't make a move, loses.
Your task is to find out, who wins in the given game if both Furlo and Rublo play optimally well.
Input
The first line contains integer n (1 ≤ n ≤ 77777) — the number of piles. The next line contains n integers a1, a2, ..., an (1 ≤ ai ≤ 777777777777) — the sizes of piles. The numbers are separated by single spaces.
Please, do not use the %lld specifier to read or write 64-bit integers in С++. It is preferred to use the cin, cout streams or the %I64d specifier.
Output
If both players play optimally well and Furlo wins, print "Furlo", otherwise print "Rublo". Print the answers without the quotes.
Examples
Input
1
1
Output
Rublo
Input
2
1 2
Output
Rublo
Input
10
1 2 3 4 5 6 7 8 9 10
Output
Furlo | #include <bits/stdc++.h>
using namespace std;
int get_nim(long long x) {
if (x < 4) return 0;
if (x < 16) return 1;
if (x < 82) return 2;
if (x < 6724) return 0;
if (x < 50626) return 3;
if (x < 2562991876LL) return 1;
return 2;
}
int main() {
int n, ans = 0;
long long a;
cin >> n;
for (int i = 0; i < n; ++i) {
cin >> a;
ans ^= get_nim(a);
}
if (ans)
cout << "Furlo" << endl;
else
cout << "Rublo" << endl;
return 0;
}
| 2C++
| {
"input": [
"10\n1 2 3 4 5 6 7 8 9 10\n",
"1\n1\n",
"2\n1 2\n",
"3\n2500000000 3000000000 1000\n",
"40\n20390340 659951276 660648687 283496822 238806569 452159719 595601864 88859363 448128137 173415523 155896972 382680284 143902331 67085579 251233672 507418836 451689775 116050106 716427523 453853727 199456738 546229940 582869263 697618351 329747900 595175666 532075062 296917140 143304338 761085644 190058541 514062581 467268828 71166480 353247339 637946561 480459037 610259332 639281418 540727759\n",
"2\n50626 300000\n",
"5\n1000000000 100000000 10000000 1000000 100000\n",
"2\n2562991876 16\n",
"50\n153423475 640900906 773155924 97361082 413127059 154467262 26144388 172617533 117328815 312150912 45081238 438413693 686165576 490651756 383872273 601349776 181594954 624158354 48886108 767778455 631306840 58389993 403293668 405970047 308352764 293917056 430837844 571889516 676319197 27534222 91629265 481065958 347353980 687386676 398523806 42942805 5170734 720798096 577222949 560221824 427579517 165689347 516312275 38449250 384820273 545718776 677096599 604431275 422347009 96033594\n",
"3\n10 100 10000\n",
"2\n100 777777777777\n",
"4\n2 3 9 10\n",
"2\n2500000000 3000000000\n",
"3\n10 10000 100000000000\n",
"3\n2 3 10\n",
"3\n2500000000 3000000000 1001\n",
"40\n20390340 659951276 660648687 283496822 238806569 452159719 595601864 88859363 279265318 173415523 155896972 382680284 143902331 67085579 251233672 507418836 451689775 116050106 716427523 453853727 199456738 546229940 582869263 697618351 329747900 595175666 532075062 296917140 143304338 761085644 190058541 514062581 467268828 71166480 353247339 637946561 480459037 610259332 639281418 540727759\n",
"2\n50626 74912\n",
"5\n1000001000 100000000 10000000 1000000 100000\n",
"2\n2562991876 31\n",
"50\n153423475 640900906 773155924 97361082 413127059 154467262 26144388 172617533 117328815 312150912 45081238 438413693 686165576 490651756 383872273 601349776 181594954 624158354 48886108 767778455 631306840 58389993 403293668 405970047 308352764 293917056 524282771 571889516 676319197 27534222 91629265 481065958 347353980 687386676 398523806 42942805 5170734 720798096 577222949 560221824 427579517 165689347 516312275 38449250 384820273 545718776 677096599 604431275 422347009 96033594\n",
"2\n101 777777777777\n",
"4\n2 3 2 10\n",
"2\n2500000000 650939923\n",
"3\n11 10000 100000000000\n",
"3\n2 3 15\n",
"10\n1 2 3 4 5 6 2 8 9 10\n",
"1\n2\n",
"2\n1 3\n",
"3\n2500000000 4627996199 1001\n",
"40\n20390340 659951276 660648687 283496822 401165372 452159719 595601864 88859363 279265318 173415523 155896972 382680284 143902331 67085579 251233672 507418836 451689775 116050106 716427523 453853727 199456738 546229940 582869263 697618351 329747900 595175666 532075062 296917140 143304338 761085644 190058541 514062581 467268828 71166480 353247339 637946561 480459037 610259332 639281418 540727759\n",
"2\n50626 68856\n",
"5\n1000001000 100000000 10000010 1000000 100000\n",
"2\n1831967450 31\n",
"50\n153423475 640900906 773155924 97361082 413127059 154467262 26144388 172617533 117328815 312150912 45081238 438413693 686165576 490651756 383872273 601349776 181594954 624158354 48886108 767778455 631306840 58389993 403293668 405970047 308352764 375064482 524282771 571889516 676319197 27534222 91629265 481065958 347353980 687386676 398523806 42942805 5170734 720798096 577222949 560221824 427579517 165689347 516312275 38449250 384820273 545718776 677096599 604431275 422347009 96033594\n",
"2\n001 777777777777\n",
"2\n3699378272 650939923\n",
"3\n11 10001 100000000000\n",
"3\n4 3 15\n",
"10\n1 2 3 4 7 6 2 8 9 10\n",
"1\n4\n",
"2\n2 3\n",
"3\n480483433 4627996199 1001\n",
"40\n20390340 659951276 660648687 283496822 253780334 452159719 595601864 88859363 279265318 173415523 155896972 382680284 143902331 67085579 251233672 507418836 451689775 116050106 716427523 453853727 199456738 546229940 582869263 697618351 329747900 595175666 532075062 296917140 143304338 761085644 190058541 514062581 467268828 71166480 353247339 637946561 480459037 610259332 639281418 540727759\n",
"2\n73625 68856\n",
"5\n1000001000 100000000 10000010 1000000 100010\n",
"2\n1311723747 31\n",
"50\n153423475 640900906 773155924 97361082 413127059 154467262 26144388 172617533 117328815 312150912 45081238 438413693 686165576 490651756 383872273 601349776 181594954 624158354 48886108 767778455 631306840 58389993 403293668 405970047 308352764 375064482 524282771 571889516 676319197 27534222 91629265 481065958 347353980 687386676 398523806 947896 5170734 720798096 577222949 560221824 427579517 165689347 516312275 38449250 384820273 545718776 677096599 604431275 422347009 96033594\n",
"2\n011 777777777777\n",
"2\n6352485103 650939923\n",
"3\n11 10001 100001000000\n",
"3\n4 2 15\n",
"10\n1 2 4 4 7 6 2 8 9 10\n",
"1\n8\n",
"2\n3 3\n",
"3\n480483433 4627996199 1011\n",
"40\n20390340 659951276 660648687 283496822 253780334 452159719 595601864 53347450 279265318 173415523 155896972 382680284 143902331 67085579 251233672 507418836 451689775 116050106 716427523 453853727 199456738 546229940 582869263 697618351 329747900 595175666 532075062 296917140 143304338 761085644 190058541 514062581 467268828 71166480 353247339 637946561 480459037 610259332 639281418 540727759\n",
"2\n73625 22126\n",
"5\n1000000000 100000000 10000010 1000000 100010\n",
"2\n2212954546 31\n",
"50\n153423475 640900906 773155924 97361082 413127059 154467262 26144388 172617533 117328815 312150912 45081238 438413693 686165576 490651756 383872273 601349776 181594954 624158354 48886108 767778455 631306840 58389993 403293668 405970047 308352764 375064482 524282771 571889516 676319197 40325259 91629265 481065958 347353980 687386676 398523806 947896 5170734 720798096 577222949 560221824 427579517 165689347 516312275 38449250 384820273 545718776 677096599 604431275 422347009 96033594\n",
"2\n6352485103 347804955\n",
"3\n13 10001 100001000000\n",
"3\n4 2 4\n",
"10\n1 2 5 4 7 6 2 8 9 10\n",
"1\n5\n",
"2\n3 5\n",
"3\n480483433 7241518991 1011\n",
"40\n20390340 659951276 660648687 283496822 253780334 452159719 595601864 53347450 279265318 173415523 155896972 382680284 143902331 67085579 251233672 507418836 451689775 116050106 716427523 453853727 199456738 546229940 582869263 697618351 329747900 595175666 532075062 296917140 143304338 761085644 190058541 7682274 467268828 71166480 353247339 637946561 480459037 610259332 639281418 540727759\n",
"2\n106418 22126\n",
"5\n1000000000 100000000 10000010 1000000 101010\n",
"2\n3278738 31\n",
"50\n153423475 640900906 773155924 97361082 413127059 154467262 26144388 172617533 117328815 312150912 45081238 438413693 686165576 490651756 383872273 601349776 181594954 624158354 77338561 767778455 631306840 58389993 403293668 405970047 308352764 375064482 524282771 571889516 676319197 40325259 91629265 481065958 347353980 687386676 398523806 947896 5170734 720798096 577222949 560221824 427579517 165689347 516312275 38449250 384820273 545718776 677096599 604431275 422347009 96033594\n",
"2\n6352485103 344611455\n",
"3\n25 10001 100001000000\n",
"3\n4 2 5\n",
"10\n1 2 5 4 7 3 2 8 9 10\n",
"3\n923135682 7241518991 1011\n",
"40\n20390340 659951276 660648687 283496822 253780334 452159719 595601864 53347450 279265318 138412055 155896972 382680284 143902331 67085579 251233672 507418836 451689775 116050106 716427523 453853727 199456738 546229940 582869263 697618351 329747900 595175666 532075062 296917140 143304338 761085644 190058541 7682274 467268828 71166480 353247339 637946561 480459037 610259332 639281418 540727759\n",
"2\n106418 13697\n",
"2\n3278738 58\n",
"50\n153423475 640900906 773155924 97361082 413127059 154467262 26144388 172617533 117328815 312150912 45081238 438413693 686165576 490651756 383872273 358406779 181594954 624158354 77338561 767778455 631306840 58389993 403293668 405970047 308352764 375064482 524282771 571889516 676319197 40325259 91629265 481065958 347353980 687386676 398523806 947896 5170734 720798096 577222949 560221824 427579517 165689347 516312275 38449250 384820273 545718776 677096599 604431275 422347009 96033594\n",
"2\n10543927250 344611455\n",
"3\n44 10001 100001000000\n",
"3\n4 4 5\n",
"10\n1 1 5 4 7 3 2 8 9 10\n",
"3\n923135682 12194846381 1011\n",
"40\n20390340 659951276 660648687 283496822 253780334 452159719 595601864 53347450 279265318 138412055 155896972 382680284 143902331 67085579 251233672 507418836 451689775 116050106 716427523 453853727 199456738 546229940 582869263 697618351 329747900 595175666 532075062 296917140 143304338 761085644 190058541 7682274 467268828 71166480 353247339 424062399 480459037 610259332 639281418 540727759\n"
],
"output": [
"Furlo\n",
"Rublo\n",
"Rublo\n",
"Furlo\n",
"Rublo\n",
"Rublo\n",
"Furlo\n",
"Rublo\n",
"Rublo\n",
"Furlo\n",
"Furlo\n",
"Rublo\n",
"Furlo\n",
"Rublo\n",
"Furlo\n",
"Furlo",
"Rublo",
"Rublo",
"Furlo",
"Rublo",
"Rublo",
"Furlo",
"Furlo",
"Rublo",
"Rublo",
"Furlo",
"Rublo",
"Rublo",
"Rublo",
"Furlo",
"Rublo",
"Rublo",
"Furlo",
"Furlo",
"Rublo",
"Furlo",
"Furlo",
"Rublo",
"Rublo",
"Rublo",
"Furlo",
"Rublo",
"Furlo",
"Rublo",
"Rublo",
"Furlo",
"Furlo",
"Rublo",
"Furlo",
"Furlo",
"Rublo",
"Rublo",
"Furlo",
"Furlo",
"Rublo",
"Furlo",
"Rublo",
"Furlo",
"Furlo",
"Furlo",
"Rublo",
"Furlo",
"Rublo",
"Rublo",
"Furlo",
"Furlo",
"Furlo",
"Furlo",
"Rublo",
"Furlo",
"Furlo",
"Furlo",
"Rublo",
"Furlo",
"Furlo",
"Rublo",
"Rublo",
"Furlo",
"Rublo",
"Furlo",
"Furlo",
"Rublo",
"Furlo",
"Furlo",
"Furlo",
"Rublo",
"Furlo",
"Rublo"
]
} | 2CODEFORCES
|
255_E. Furlo and Rublo and Game_38244 | Furlo and Rublo play a game. The table has n piles of coins lying on it, the i-th pile has ai coins. Furlo and Rublo move in turns, Furlo moves first. In one move you are allowed to:
* choose some pile, let's denote the current number of coins in it as x;
* choose some integer y (0 ≤ y < x; x1 / 4 ≤ y ≤ x1 / 2) and decrease the number of coins in this pile to y. In other words, after the described move the pile will have y coins left.
The player who can't make a move, loses.
Your task is to find out, who wins in the given game if both Furlo and Rublo play optimally well.
Input
The first line contains integer n (1 ≤ n ≤ 77777) — the number of piles. The next line contains n integers a1, a2, ..., an (1 ≤ ai ≤ 777777777777) — the sizes of piles. The numbers are separated by single spaces.
Please, do not use the %lld specifier to read or write 64-bit integers in С++. It is preferred to use the cin, cout streams or the %I64d specifier.
Output
If both players play optimally well and Furlo wins, print "Furlo", otherwise print "Rublo". Print the answers without the quotes.
Examples
Input
1
1
Output
Rublo
Input
2
1 2
Output
Rublo
Input
10
1 2 3 4 5 6 7 8 9 10
Output
Furlo | import java.io.*;
import java.util.*;
public class E {
public static void main(String[] args) {
try {
new E().solve();
} catch (Exception e) {
e.printStackTrace();
}
}
int[] grundy = new int[1 << 20];
int[][] seg = new int[25][];
int find(int s, int d, int i0, int i1) {
int len = grundy.length >> d;
int e = s + len;
if (e - 1 < i0 || i1 < s) {
return 0;
} else if (i0 <= s && e - 1 <= i1) {
return seg[d][s / len];
} else {
return find(s, d + 1, i0, i1) | find((s + e) / 2, d + 1, i0, i1);
}
}
void add(int idx) {
int s = 0;
int d = 0;
int gm = 1 << grundy[idx];
while (true) {
int len = grundy.length >> d;
if (seg[d] == null) {
seg[d] = new int[grundy.length / len];
}
seg[d][s / len] |= gm;
d++;
len /= 2;
if (len == 0) {
break;
}
int e = s + len;
if (e <= idx) {
s = e;
e = s + len;
}
}
}
void solve() throws IOException {
Scanner sc = new Scanner(System.in);
// BufferedReader in = new BufferedReader(new
// InputStreamReader(System.in));
// String[] sp;
int n = sc.nextInt();
long[] a = new long[n];
for (int i = 0; i < n; i++) {
a[i] = sc.nextLong();
}
for (int i = 0; i < 4; i++) {
grundy[i] = 0;
add(i);
}
for (int i = 4; i < grundy.length; i++) {
int i0 = (int) Math.ceil(Math.sqrt(Math.sqrt(i)));
int i1 = (int) Math.floor(Math.sqrt(i));
int mask = find(0, 0, i0, i1);
for (int jj = 0;; jj++) {
if ((mask >> jj & 1) == 0) {
grundy[i] = jj;
break;
}
}
add(i);
}
int xor = 0;
for (int i = 0; i < n; i++) {
int g;
if (a[i] < grundy.length) {
g = grundy[(int) a[i]];
} else {
int i0 = (int) Math.ceil(Math.sqrt(Math.sqrt(a[i])));
int i1 = (int) Math.floor(Math.sqrt(a[i]));
int mask = find(0, 0, i0, i1);
for (int jj = 0;; jj++) {
if ((mask >> jj & 1) == 0) {
g = jj;
break;
}
}
}
xor ^= g;
}
if (xor == 0) {
System.out.println("Rublo");
} else {
System.out.println("Furlo");
}
}
}
//
//
//
//
//
//
//
//
//
//
//
//
//
//
//
//
//
//
//
//
//
//
//
//
//
| 4JAVA
| {
"input": [
"10\n1 2 3 4 5 6 7 8 9 10\n",
"1\n1\n",
"2\n1 2\n",
"3\n2500000000 3000000000 1000\n",
"40\n20390340 659951276 660648687 283496822 238806569 452159719 595601864 88859363 448128137 173415523 155896972 382680284 143902331 67085579 251233672 507418836 451689775 116050106 716427523 453853727 199456738 546229940 582869263 697618351 329747900 595175666 532075062 296917140 143304338 761085644 190058541 514062581 467268828 71166480 353247339 637946561 480459037 610259332 639281418 540727759\n",
"2\n50626 300000\n",
"5\n1000000000 100000000 10000000 1000000 100000\n",
"2\n2562991876 16\n",
"50\n153423475 640900906 773155924 97361082 413127059 154467262 26144388 172617533 117328815 312150912 45081238 438413693 686165576 490651756 383872273 601349776 181594954 624158354 48886108 767778455 631306840 58389993 403293668 405970047 308352764 293917056 430837844 571889516 676319197 27534222 91629265 481065958 347353980 687386676 398523806 42942805 5170734 720798096 577222949 560221824 427579517 165689347 516312275 38449250 384820273 545718776 677096599 604431275 422347009 96033594\n",
"3\n10 100 10000\n",
"2\n100 777777777777\n",
"4\n2 3 9 10\n",
"2\n2500000000 3000000000\n",
"3\n10 10000 100000000000\n",
"3\n2 3 10\n",
"3\n2500000000 3000000000 1001\n",
"40\n20390340 659951276 660648687 283496822 238806569 452159719 595601864 88859363 279265318 173415523 155896972 382680284 143902331 67085579 251233672 507418836 451689775 116050106 716427523 453853727 199456738 546229940 582869263 697618351 329747900 595175666 532075062 296917140 143304338 761085644 190058541 514062581 467268828 71166480 353247339 637946561 480459037 610259332 639281418 540727759\n",
"2\n50626 74912\n",
"5\n1000001000 100000000 10000000 1000000 100000\n",
"2\n2562991876 31\n",
"50\n153423475 640900906 773155924 97361082 413127059 154467262 26144388 172617533 117328815 312150912 45081238 438413693 686165576 490651756 383872273 601349776 181594954 624158354 48886108 767778455 631306840 58389993 403293668 405970047 308352764 293917056 524282771 571889516 676319197 27534222 91629265 481065958 347353980 687386676 398523806 42942805 5170734 720798096 577222949 560221824 427579517 165689347 516312275 38449250 384820273 545718776 677096599 604431275 422347009 96033594\n",
"2\n101 777777777777\n",
"4\n2 3 2 10\n",
"2\n2500000000 650939923\n",
"3\n11 10000 100000000000\n",
"3\n2 3 15\n",
"10\n1 2 3 4 5 6 2 8 9 10\n",
"1\n2\n",
"2\n1 3\n",
"3\n2500000000 4627996199 1001\n",
"40\n20390340 659951276 660648687 283496822 401165372 452159719 595601864 88859363 279265318 173415523 155896972 382680284 143902331 67085579 251233672 507418836 451689775 116050106 716427523 453853727 199456738 546229940 582869263 697618351 329747900 595175666 532075062 296917140 143304338 761085644 190058541 514062581 467268828 71166480 353247339 637946561 480459037 610259332 639281418 540727759\n",
"2\n50626 68856\n",
"5\n1000001000 100000000 10000010 1000000 100000\n",
"2\n1831967450 31\n",
"50\n153423475 640900906 773155924 97361082 413127059 154467262 26144388 172617533 117328815 312150912 45081238 438413693 686165576 490651756 383872273 601349776 181594954 624158354 48886108 767778455 631306840 58389993 403293668 405970047 308352764 375064482 524282771 571889516 676319197 27534222 91629265 481065958 347353980 687386676 398523806 42942805 5170734 720798096 577222949 560221824 427579517 165689347 516312275 38449250 384820273 545718776 677096599 604431275 422347009 96033594\n",
"2\n001 777777777777\n",
"2\n3699378272 650939923\n",
"3\n11 10001 100000000000\n",
"3\n4 3 15\n",
"10\n1 2 3 4 7 6 2 8 9 10\n",
"1\n4\n",
"2\n2 3\n",
"3\n480483433 4627996199 1001\n",
"40\n20390340 659951276 660648687 283496822 253780334 452159719 595601864 88859363 279265318 173415523 155896972 382680284 143902331 67085579 251233672 507418836 451689775 116050106 716427523 453853727 199456738 546229940 582869263 697618351 329747900 595175666 532075062 296917140 143304338 761085644 190058541 514062581 467268828 71166480 353247339 637946561 480459037 610259332 639281418 540727759\n",
"2\n73625 68856\n",
"5\n1000001000 100000000 10000010 1000000 100010\n",
"2\n1311723747 31\n",
"50\n153423475 640900906 773155924 97361082 413127059 154467262 26144388 172617533 117328815 312150912 45081238 438413693 686165576 490651756 383872273 601349776 181594954 624158354 48886108 767778455 631306840 58389993 403293668 405970047 308352764 375064482 524282771 571889516 676319197 27534222 91629265 481065958 347353980 687386676 398523806 947896 5170734 720798096 577222949 560221824 427579517 165689347 516312275 38449250 384820273 545718776 677096599 604431275 422347009 96033594\n",
"2\n011 777777777777\n",
"2\n6352485103 650939923\n",
"3\n11 10001 100001000000\n",
"3\n4 2 15\n",
"10\n1 2 4 4 7 6 2 8 9 10\n",
"1\n8\n",
"2\n3 3\n",
"3\n480483433 4627996199 1011\n",
"40\n20390340 659951276 660648687 283496822 253780334 452159719 595601864 53347450 279265318 173415523 155896972 382680284 143902331 67085579 251233672 507418836 451689775 116050106 716427523 453853727 199456738 546229940 582869263 697618351 329747900 595175666 532075062 296917140 143304338 761085644 190058541 514062581 467268828 71166480 353247339 637946561 480459037 610259332 639281418 540727759\n",
"2\n73625 22126\n",
"5\n1000000000 100000000 10000010 1000000 100010\n",
"2\n2212954546 31\n",
"50\n153423475 640900906 773155924 97361082 413127059 154467262 26144388 172617533 117328815 312150912 45081238 438413693 686165576 490651756 383872273 601349776 181594954 624158354 48886108 767778455 631306840 58389993 403293668 405970047 308352764 375064482 524282771 571889516 676319197 40325259 91629265 481065958 347353980 687386676 398523806 947896 5170734 720798096 577222949 560221824 427579517 165689347 516312275 38449250 384820273 545718776 677096599 604431275 422347009 96033594\n",
"2\n6352485103 347804955\n",
"3\n13 10001 100001000000\n",
"3\n4 2 4\n",
"10\n1 2 5 4 7 6 2 8 9 10\n",
"1\n5\n",
"2\n3 5\n",
"3\n480483433 7241518991 1011\n",
"40\n20390340 659951276 660648687 283496822 253780334 452159719 595601864 53347450 279265318 173415523 155896972 382680284 143902331 67085579 251233672 507418836 451689775 116050106 716427523 453853727 199456738 546229940 582869263 697618351 329747900 595175666 532075062 296917140 143304338 761085644 190058541 7682274 467268828 71166480 353247339 637946561 480459037 610259332 639281418 540727759\n",
"2\n106418 22126\n",
"5\n1000000000 100000000 10000010 1000000 101010\n",
"2\n3278738 31\n",
"50\n153423475 640900906 773155924 97361082 413127059 154467262 26144388 172617533 117328815 312150912 45081238 438413693 686165576 490651756 383872273 601349776 181594954 624158354 77338561 767778455 631306840 58389993 403293668 405970047 308352764 375064482 524282771 571889516 676319197 40325259 91629265 481065958 347353980 687386676 398523806 947896 5170734 720798096 577222949 560221824 427579517 165689347 516312275 38449250 384820273 545718776 677096599 604431275 422347009 96033594\n",
"2\n6352485103 344611455\n",
"3\n25 10001 100001000000\n",
"3\n4 2 5\n",
"10\n1 2 5 4 7 3 2 8 9 10\n",
"3\n923135682 7241518991 1011\n",
"40\n20390340 659951276 660648687 283496822 253780334 452159719 595601864 53347450 279265318 138412055 155896972 382680284 143902331 67085579 251233672 507418836 451689775 116050106 716427523 453853727 199456738 546229940 582869263 697618351 329747900 595175666 532075062 296917140 143304338 761085644 190058541 7682274 467268828 71166480 353247339 637946561 480459037 610259332 639281418 540727759\n",
"2\n106418 13697\n",
"2\n3278738 58\n",
"50\n153423475 640900906 773155924 97361082 413127059 154467262 26144388 172617533 117328815 312150912 45081238 438413693 686165576 490651756 383872273 358406779 181594954 624158354 77338561 767778455 631306840 58389993 403293668 405970047 308352764 375064482 524282771 571889516 676319197 40325259 91629265 481065958 347353980 687386676 398523806 947896 5170734 720798096 577222949 560221824 427579517 165689347 516312275 38449250 384820273 545718776 677096599 604431275 422347009 96033594\n",
"2\n10543927250 344611455\n",
"3\n44 10001 100001000000\n",
"3\n4 4 5\n",
"10\n1 1 5 4 7 3 2 8 9 10\n",
"3\n923135682 12194846381 1011\n",
"40\n20390340 659951276 660648687 283496822 253780334 452159719 595601864 53347450 279265318 138412055 155896972 382680284 143902331 67085579 251233672 507418836 451689775 116050106 716427523 453853727 199456738 546229940 582869263 697618351 329747900 595175666 532075062 296917140 143304338 761085644 190058541 7682274 467268828 71166480 353247339 424062399 480459037 610259332 639281418 540727759\n"
],
"output": [
"Furlo\n",
"Rublo\n",
"Rublo\n",
"Furlo\n",
"Rublo\n",
"Rublo\n",
"Furlo\n",
"Rublo\n",
"Rublo\n",
"Furlo\n",
"Furlo\n",
"Rublo\n",
"Furlo\n",
"Rublo\n",
"Furlo\n",
"Furlo",
"Rublo",
"Rublo",
"Furlo",
"Rublo",
"Rublo",
"Furlo",
"Furlo",
"Rublo",
"Rublo",
"Furlo",
"Rublo",
"Rublo",
"Rublo",
"Furlo",
"Rublo",
"Rublo",
"Furlo",
"Furlo",
"Rublo",
"Furlo",
"Furlo",
"Rublo",
"Rublo",
"Rublo",
"Furlo",
"Rublo",
"Furlo",
"Rublo",
"Rublo",
"Furlo",
"Furlo",
"Rublo",
"Furlo",
"Furlo",
"Rublo",
"Rublo",
"Furlo",
"Furlo",
"Rublo",
"Furlo",
"Rublo",
"Furlo",
"Furlo",
"Furlo",
"Rublo",
"Furlo",
"Rublo",
"Rublo",
"Furlo",
"Furlo",
"Furlo",
"Furlo",
"Rublo",
"Furlo",
"Furlo",
"Furlo",
"Rublo",
"Furlo",
"Furlo",
"Rublo",
"Rublo",
"Furlo",
"Rublo",
"Furlo",
"Furlo",
"Rublo",
"Furlo",
"Furlo",
"Furlo",
"Rublo",
"Furlo",
"Rublo"
]
} | 2CODEFORCES
|
279_E. Beautiful Decomposition_38245 | Valera considers a number beautiful, if it equals 2k or -2k for some integer k (k ≥ 0). Recently, the math teacher asked Valera to represent number n as the sum of beautiful numbers. As Valera is really greedy, he wants to complete the task using as few beautiful numbers as possible.
Help Valera and find, how many numbers he is going to need. In other words, if you look at all decompositions of the number n into beautiful summands, you need to find the size of the decomposition which has the fewest summands.
Input
The first line contains string s (1 ≤ |s| ≤ 106), that is the binary representation of number n without leading zeroes (n > 0).
Output
Print a single integer — the minimum amount of beautiful numbers that give a total of n.
Examples
Input
10
Output
1
Input
111
Output
2
Input
1101101
Output
4
Note
In the first sample n = 2 is a beautiful number.
In the second sample n = 7 and Valera can decompose it into sum 23 + ( - 20).
In the third sample n = 109 can be decomposed into the sum of four summands as follows: 27 + ( - 24) + ( - 22) + 20. | x = 0
y = 1
for c in raw_input():
if c == '0':
x, y = min(x, y + 1), min(x, y) + 1
else:
x, y = min(x, y) + 1, min(x + 1, y)
print min(x, y + 1) | 1Python2
| {
"input": [
"1101101\n",
"10\n",
"111\n",
"1001110101111000111010100110111000000110011011100111001111100001110011011001101110000000\n",
"1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111\n",
"110\n",
"110110011010110101101010111010010010101001001010000110111111000100\n",
"1010111\n",
"1011101\n",
"1101011001101110000000010000011111110100010000100011101010110100010010011110101001011111111001100011\n",
"1010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010\n",
"10101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010\n",
"10001100101100101000100101000100100111100001111001000011101001010001100111001010011111100101110101010011101101110000111111010100100111110000011111000100011000000010111011000110010110001100010011111100110011100001110011011110000011101111000110100010000111011010011101100101010010110011111101001000011101110111001001100011101100001001010000001110111011111000010101011110011100100000010110110000110000001000111001010101100110000110111100100111000001000101010101101000101111100111011110001000001110011001\n",
"10110100101\n",
"1100\n",
"1011001\n",
"101111110100100010101000110011010110001101011111100111001011011011010001010010100100101011100000001010000111001000110101001011000010011101010010110101000000101011000000001101000001010000000000001011000000101110001010110110010111010010110100010111100010110110100110101001000010101101011011000011111001110001000000110101010100001001110\n",
"111100010110110001011000100110100101100011101111111111000011100101110001000101101100110111101101110\n",
"10101010101010101010101010101010101010101010101010\n",
"110100\n",
"1111111111\n",
"1\n",
"11\n",
"11110010111010111000000111010101011100001100100100110100101110011111001100010\n",
"11010\n",
"1001110101111000111010100110111000000110011011100111001111100001100011011001101110000000\n",
"1111111111111111111111111111111111111111111111111111111111110111111111111111111111111111111111111111\n",
"110110011010110101101010111010010000101001001010000110111111000100\n",
"1101011001101110000100010000011111110100010000100011101010110100010010011110101001011111111001100011\n",
"1010101010101010101010101010101010101010101010101010101011101010101010101010101010101010101010101010\n",
"10101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101000101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010\n",
"10001100101100101000100101000100100111100001111001000011101001010001100111001010011111100101110101010011101101110000111111011100100111110000011111000100011000000010111011000110010110001100010011111100110011100001110011011110000011101111000110100010000111011010011101100101010010110011111101001000011101110111001001100011101100001001010000001110111011111000010101011110011100100000010110110000110000001000111001010101100110000110111100100111000001000101010101101000101111100111011110001000001110011001\n",
"10110100100\n",
"1000\n",
"101111110100100010101000110011010110001101011111100111001011011011010001010010100100101011100000001010000111001000110101001011000010011101010010110101000000101011000000001101000001010000000000001011000000101110001010110110010111010010110100010111100010110110100110101001000010101101011011000011111001110001000100110101010100001001110\n",
"111100010110110001011000100110100101100011101111111111000011100100110001000101101100110111101101110\n",
"10101010101010101010101010101010101010101010101110\n",
"111100\n",
"11110010111010111000000111010101011100001100100100110100111110011111001100010\n",
"1111111111111111111111111111111111111111111111111111111111110101111111111111111111111111111111111111\n",
"110110011010110101101010111000010000101001001010000110111111000100\n",
"1010101010101010101010101010101010101110101010101010101011101010101010101010101010101010101010101010\n",
"10101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010001010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101000101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010\n",
"10001100101100101000100101000100100111100001111001000011101001010001100111001010011111100101110101010011101101110000111111011100100111110000011111000100011000000010111011000100010110001100010011111100110011100001110011011110000011101111000110100010000111011010011101100101010010110011111101001000011101110111001001100011101100001001010000001110111011111000010101011110011100100000010110110000110000001000111001010101100110000110111100100111000001000101010101101000101111100111011110001000001110011001\n",
"101111110100100010101000110011010110001101011111100111001011011011010001010010100100101011100000001010000111001000100101001011000010011101010010110101000000101011000000001101000001010000000000001011000000101110001010110110010111010010110100010111100010110110100110101001000010101101011011000011111001110001000100110101010100001001110\n",
"110100010110110001011000100110100101100011101111111111000011100100110001000101101100110111101101110\n",
"10101010101110101010101010101010101010101010101110\n",
"1010101010101011101010101010101010101110101010101010101011101010101010101010101010101010101010101010\n",
"10101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010001010101010101010101010101010101010100010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101000101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010\n",
"101111110100100010101000110011110110001101011111100111001011011011010001010010100100101011100000001010000111001000100101001011000010011101010010110101000000101011000000001101000001010000000000001011000000101110001010110110010111010010110100010111100010110110100110101001000010101101011011000011111001110001000100110101010100001001110\n",
"1001110101111000111010100110111000000110011011100111001111100001000011011001101111000000\n",
"1111111111111111111111111111111111111111111111111111111110110101111111110111111111111111111111111111\n",
"1000111\n",
"1111101\n",
"1111001\n",
"1111011111\n",
"1101111\n",
"101\n",
"1011110101111000111010100110111000000110011011100111001111100001100011011001101110000000\n",
"1000011\n",
"1101011001101110000100010000011111110100010000110011101010110100010010011110101001011111111001100011\n",
"10110100000\n",
"1101\n",
"1101001\n",
"111110\n",
"11110010111010111000000111010101011100011100100100110100111110011111001100010\n",
"1101110\n",
"100\n",
"1001110101111000111010100110111000000110011011100111001111100001100011011001101111000000\n",
"1111111111111111111111111111111111111111111111111111111111110101111111110111111111111111111111111111\n",
"110110001010110101101010111000010000101001001010000110111111000100\n",
"1000010\n",
"1101011000101110000100010000011111110100010000110011101010110100010010011110101001011111111001100011\n",
"10001100101100101000100101000100100111100001111001000011101001010001100111001010011111100101110101010011101101110000111111011100100111110000011111000100011000000010111011010100010110001100010011111100110011100001110011011110000011101111000110100010000111011010011101100101010010110011111101001000011101110111001001100011101100001001010000001110111011111000010101011110011100100000010110110000110000001000111001010101100110000110111100100111000001000101010101101000101111100111011110001000001110011001\n",
"10111100000\n",
"1111\n",
"1101011\n",
"110100010110110001011000100110100101100011101111111111000111100100110001000101101100110111101101110\n",
"10101010101110101010101110101010101010101010101110\n",
"101110\n",
"11100010111010111000000111010101011100011100100100110100111110011111001100010\n",
"1111110\n",
"110110001010110101101010110000010000101001001010000110111111000100\n",
"1101011000101110000100010000010111110100010000110011101010110100010010011110101001011111111001100011\n"
],
"output": [
"4\n",
"1\n",
"2\n",
"29\n",
"2\n",
"2\n",
"24\n",
"4\n",
"4\n",
"32\n",
"50\n",
"250\n",
"167\n",
"6\n",
"2\n",
"4\n",
"119\n",
"34\n",
"25\n",
"3\n",
"2\n",
"1\n",
"2\n",
"28\n",
"3\n",
"29\n",
"3\n",
"23\n",
"33\n",
"50\n",
"249\n",
"166\n",
"5\n",
"1\n",
"120\n",
"34\n",
"25\n",
"2\n",
"27\n",
"4\n",
"22\n",
"49\n",
"248\n",
"165\n",
"119\n",
"35\n",
"24\n",
"48\n",
"247\n",
"118\n",
"28\n",
"6\n",
"3\n",
"3\n",
"3\n",
"3\n",
"3\n",
"2\n",
"29\n",
"3\n",
"34\n",
"4\n",
"3\n",
"4\n",
"2\n",
"27\n",
"3\n",
"1\n",
"29\n",
"5\n",
"22\n",
"2\n",
"34\n",
"166\n",
"3\n",
"2\n",
"4\n",
"35\n",
"23\n",
"3\n",
"27\n",
"2\n",
"22\n",
"35\n"
]
} | 2CODEFORCES
|
279_E. Beautiful Decomposition_38246 | Valera considers a number beautiful, if it equals 2k or -2k for some integer k (k ≥ 0). Recently, the math teacher asked Valera to represent number n as the sum of beautiful numbers. As Valera is really greedy, he wants to complete the task using as few beautiful numbers as possible.
Help Valera and find, how many numbers he is going to need. In other words, if you look at all decompositions of the number n into beautiful summands, you need to find the size of the decomposition which has the fewest summands.
Input
The first line contains string s (1 ≤ |s| ≤ 106), that is the binary representation of number n without leading zeroes (n > 0).
Output
Print a single integer — the minimum amount of beautiful numbers that give a total of n.
Examples
Input
10
Output
1
Input
111
Output
2
Input
1101101
Output
4
Note
In the first sample n = 2 is a beautiful number.
In the second sample n = 7 and Valera can decompose it into sum 23 + ( - 20).
In the third sample n = 109 can be decomposed into the sum of four summands as follows: 27 + ( - 24) + ( - 22) + 20. | #include <bits/stdc++.h>
using namespace std;
char s[1000005];
int n;
int main() {
scanf("%s", s + 2);
n = strlen(s + 2);
int now = n + 1, ans = 0;
while (1) {
while (s[now] == '0') now--;
if (s[now] == 0) break;
int m = now;
while (s[m] == '1') m--;
if (m + 1 == now)
ans++, now = m;
else {
s[m] = '1';
now = m;
ans++;
}
}
cout << ans << endl;
return 0;
}
| 2C++
| {
"input": [
"1101101\n",
"10\n",
"111\n",
"1001110101111000111010100110111000000110011011100111001111100001110011011001101110000000\n",
"1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111\n",
"110\n",
"110110011010110101101010111010010010101001001010000110111111000100\n",
"1010111\n",
"1011101\n",
"1101011001101110000000010000011111110100010000100011101010110100010010011110101001011111111001100011\n",
"1010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010\n",
"10101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010\n",
"10001100101100101000100101000100100111100001111001000011101001010001100111001010011111100101110101010011101101110000111111010100100111110000011111000100011000000010111011000110010110001100010011111100110011100001110011011110000011101111000110100010000111011010011101100101010010110011111101001000011101110111001001100011101100001001010000001110111011111000010101011110011100100000010110110000110000001000111001010101100110000110111100100111000001000101010101101000101111100111011110001000001110011001\n",
"10110100101\n",
"1100\n",
"1011001\n",
"101111110100100010101000110011010110001101011111100111001011011011010001010010100100101011100000001010000111001000110101001011000010011101010010110101000000101011000000001101000001010000000000001011000000101110001010110110010111010010110100010111100010110110100110101001000010101101011011000011111001110001000000110101010100001001110\n",
"111100010110110001011000100110100101100011101111111111000011100101110001000101101100110111101101110\n",
"10101010101010101010101010101010101010101010101010\n",
"110100\n",
"1111111111\n",
"1\n",
"11\n",
"11110010111010111000000111010101011100001100100100110100101110011111001100010\n",
"11010\n",
"1001110101111000111010100110111000000110011011100111001111100001100011011001101110000000\n",
"1111111111111111111111111111111111111111111111111111111111110111111111111111111111111111111111111111\n",
"110110011010110101101010111010010000101001001010000110111111000100\n",
"1101011001101110000100010000011111110100010000100011101010110100010010011110101001011111111001100011\n",
"1010101010101010101010101010101010101010101010101010101011101010101010101010101010101010101010101010\n",
"10101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101000101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010\n",
"10001100101100101000100101000100100111100001111001000011101001010001100111001010011111100101110101010011101101110000111111011100100111110000011111000100011000000010111011000110010110001100010011111100110011100001110011011110000011101111000110100010000111011010011101100101010010110011111101001000011101110111001001100011101100001001010000001110111011111000010101011110011100100000010110110000110000001000111001010101100110000110111100100111000001000101010101101000101111100111011110001000001110011001\n",
"10110100100\n",
"1000\n",
"101111110100100010101000110011010110001101011111100111001011011011010001010010100100101011100000001010000111001000110101001011000010011101010010110101000000101011000000001101000001010000000000001011000000101110001010110110010111010010110100010111100010110110100110101001000010101101011011000011111001110001000100110101010100001001110\n",
"111100010110110001011000100110100101100011101111111111000011100100110001000101101100110111101101110\n",
"10101010101010101010101010101010101010101010101110\n",
"111100\n",
"11110010111010111000000111010101011100001100100100110100111110011111001100010\n",
"1111111111111111111111111111111111111111111111111111111111110101111111111111111111111111111111111111\n",
"110110011010110101101010111000010000101001001010000110111111000100\n",
"1010101010101010101010101010101010101110101010101010101011101010101010101010101010101010101010101010\n",
"10101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010001010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101000101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010\n",
"10001100101100101000100101000100100111100001111001000011101001010001100111001010011111100101110101010011101101110000111111011100100111110000011111000100011000000010111011000100010110001100010011111100110011100001110011011110000011101111000110100010000111011010011101100101010010110011111101001000011101110111001001100011101100001001010000001110111011111000010101011110011100100000010110110000110000001000111001010101100110000110111100100111000001000101010101101000101111100111011110001000001110011001\n",
"101111110100100010101000110011010110001101011111100111001011011011010001010010100100101011100000001010000111001000100101001011000010011101010010110101000000101011000000001101000001010000000000001011000000101110001010110110010111010010110100010111100010110110100110101001000010101101011011000011111001110001000100110101010100001001110\n",
"110100010110110001011000100110100101100011101111111111000011100100110001000101101100110111101101110\n",
"10101010101110101010101010101010101010101010101110\n",
"1010101010101011101010101010101010101110101010101010101011101010101010101010101010101010101010101010\n",
"10101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010001010101010101010101010101010101010100010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101000101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010\n",
"101111110100100010101000110011110110001101011111100111001011011011010001010010100100101011100000001010000111001000100101001011000010011101010010110101000000101011000000001101000001010000000000001011000000101110001010110110010111010010110100010111100010110110100110101001000010101101011011000011111001110001000100110101010100001001110\n",
"1001110101111000111010100110111000000110011011100111001111100001000011011001101111000000\n",
"1111111111111111111111111111111111111111111111111111111110110101111111110111111111111111111111111111\n",
"1000111\n",
"1111101\n",
"1111001\n",
"1111011111\n",
"1101111\n",
"101\n",
"1011110101111000111010100110111000000110011011100111001111100001100011011001101110000000\n",
"1000011\n",
"1101011001101110000100010000011111110100010000110011101010110100010010011110101001011111111001100011\n",
"10110100000\n",
"1101\n",
"1101001\n",
"111110\n",
"11110010111010111000000111010101011100011100100100110100111110011111001100010\n",
"1101110\n",
"100\n",
"1001110101111000111010100110111000000110011011100111001111100001100011011001101111000000\n",
"1111111111111111111111111111111111111111111111111111111111110101111111110111111111111111111111111111\n",
"110110001010110101101010111000010000101001001010000110111111000100\n",
"1000010\n",
"1101011000101110000100010000011111110100010000110011101010110100010010011110101001011111111001100011\n",
"10001100101100101000100101000100100111100001111001000011101001010001100111001010011111100101110101010011101101110000111111011100100111110000011111000100011000000010111011010100010110001100010011111100110011100001110011011110000011101111000110100010000111011010011101100101010010110011111101001000011101110111001001100011101100001001010000001110111011111000010101011110011100100000010110110000110000001000111001010101100110000110111100100111000001000101010101101000101111100111011110001000001110011001\n",
"10111100000\n",
"1111\n",
"1101011\n",
"110100010110110001011000100110100101100011101111111111000111100100110001000101101100110111101101110\n",
"10101010101110101010101110101010101010101010101110\n",
"101110\n",
"11100010111010111000000111010101011100011100100100110100111110011111001100010\n",
"1111110\n",
"110110001010110101101010110000010000101001001010000110111111000100\n",
"1101011000101110000100010000010111110100010000110011101010110100010010011110101001011111111001100011\n"
],
"output": [
"4\n",
"1\n",
"2\n",
"29\n",
"2\n",
"2\n",
"24\n",
"4\n",
"4\n",
"32\n",
"50\n",
"250\n",
"167\n",
"6\n",
"2\n",
"4\n",
"119\n",
"34\n",
"25\n",
"3\n",
"2\n",
"1\n",
"2\n",
"28\n",
"3\n",
"29\n",
"3\n",
"23\n",
"33\n",
"50\n",
"249\n",
"166\n",
"5\n",
"1\n",
"120\n",
"34\n",
"25\n",
"2\n",
"27\n",
"4\n",
"22\n",
"49\n",
"248\n",
"165\n",
"119\n",
"35\n",
"24\n",
"48\n",
"247\n",
"118\n",
"28\n",
"6\n",
"3\n",
"3\n",
"3\n",
"3\n",
"3\n",
"2\n",
"29\n",
"3\n",
"34\n",
"4\n",
"3\n",
"4\n",
"2\n",
"27\n",
"3\n",
"1\n",
"29\n",
"5\n",
"22\n",
"2\n",
"34\n",
"166\n",
"3\n",
"2\n",
"4\n",
"35\n",
"23\n",
"3\n",
"27\n",
"2\n",
"22\n",
"35\n"
]
} | 2CODEFORCES
|
279_E. Beautiful Decomposition_38247 | Valera considers a number beautiful, if it equals 2k or -2k for some integer k (k ≥ 0). Recently, the math teacher asked Valera to represent number n as the sum of beautiful numbers. As Valera is really greedy, he wants to complete the task using as few beautiful numbers as possible.
Help Valera and find, how many numbers he is going to need. In other words, if you look at all decompositions of the number n into beautiful summands, you need to find the size of the decomposition which has the fewest summands.
Input
The first line contains string s (1 ≤ |s| ≤ 106), that is the binary representation of number n without leading zeroes (n > 0).
Output
Print a single integer — the minimum amount of beautiful numbers that give a total of n.
Examples
Input
10
Output
1
Input
111
Output
2
Input
1101101
Output
4
Note
In the first sample n = 2 is a beautiful number.
In the second sample n = 7 and Valera can decompose it into sum 23 + ( - 20).
In the third sample n = 109 can be decomposed into the sum of four summands as follows: 27 + ( - 24) + ( - 22) + 20. | t = input()
j = t[0]
d, s = 0, int(j)
for i in t[1: ]:
if j != i:
if d == 1: d, s = 0, s + 1
else: d = 1
j = i
else: d = 1
print(s + (d and j == '1')) | 3Python3
| {
"input": [
"1101101\n",
"10\n",
"111\n",
"1001110101111000111010100110111000000110011011100111001111100001110011011001101110000000\n",
"1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111\n",
"110\n",
"110110011010110101101010111010010010101001001010000110111111000100\n",
"1010111\n",
"1011101\n",
"1101011001101110000000010000011111110100010000100011101010110100010010011110101001011111111001100011\n",
"1010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010\n",
"10101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010\n",
"10001100101100101000100101000100100111100001111001000011101001010001100111001010011111100101110101010011101101110000111111010100100111110000011111000100011000000010111011000110010110001100010011111100110011100001110011011110000011101111000110100010000111011010011101100101010010110011111101001000011101110111001001100011101100001001010000001110111011111000010101011110011100100000010110110000110000001000111001010101100110000110111100100111000001000101010101101000101111100111011110001000001110011001\n",
"10110100101\n",
"1100\n",
"1011001\n",
"101111110100100010101000110011010110001101011111100111001011011011010001010010100100101011100000001010000111001000110101001011000010011101010010110101000000101011000000001101000001010000000000001011000000101110001010110110010111010010110100010111100010110110100110101001000010101101011011000011111001110001000000110101010100001001110\n",
"111100010110110001011000100110100101100011101111111111000011100101110001000101101100110111101101110\n",
"10101010101010101010101010101010101010101010101010\n",
"110100\n",
"1111111111\n",
"1\n",
"11\n",
"11110010111010111000000111010101011100001100100100110100101110011111001100010\n",
"11010\n",
"1001110101111000111010100110111000000110011011100111001111100001100011011001101110000000\n",
"1111111111111111111111111111111111111111111111111111111111110111111111111111111111111111111111111111\n",
"110110011010110101101010111010010000101001001010000110111111000100\n",
"1101011001101110000100010000011111110100010000100011101010110100010010011110101001011111111001100011\n",
"1010101010101010101010101010101010101010101010101010101011101010101010101010101010101010101010101010\n",
"10101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101000101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010\n",
"10001100101100101000100101000100100111100001111001000011101001010001100111001010011111100101110101010011101101110000111111011100100111110000011111000100011000000010111011000110010110001100010011111100110011100001110011011110000011101111000110100010000111011010011101100101010010110011111101001000011101110111001001100011101100001001010000001110111011111000010101011110011100100000010110110000110000001000111001010101100110000110111100100111000001000101010101101000101111100111011110001000001110011001\n",
"10110100100\n",
"1000\n",
"101111110100100010101000110011010110001101011111100111001011011011010001010010100100101011100000001010000111001000110101001011000010011101010010110101000000101011000000001101000001010000000000001011000000101110001010110110010111010010110100010111100010110110100110101001000010101101011011000011111001110001000100110101010100001001110\n",
"111100010110110001011000100110100101100011101111111111000011100100110001000101101100110111101101110\n",
"10101010101010101010101010101010101010101010101110\n",
"111100\n",
"11110010111010111000000111010101011100001100100100110100111110011111001100010\n",
"1111111111111111111111111111111111111111111111111111111111110101111111111111111111111111111111111111\n",
"110110011010110101101010111000010000101001001010000110111111000100\n",
"1010101010101010101010101010101010101110101010101010101011101010101010101010101010101010101010101010\n",
"10101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010001010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101000101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010\n",
"10001100101100101000100101000100100111100001111001000011101001010001100111001010011111100101110101010011101101110000111111011100100111110000011111000100011000000010111011000100010110001100010011111100110011100001110011011110000011101111000110100010000111011010011101100101010010110011111101001000011101110111001001100011101100001001010000001110111011111000010101011110011100100000010110110000110000001000111001010101100110000110111100100111000001000101010101101000101111100111011110001000001110011001\n",
"101111110100100010101000110011010110001101011111100111001011011011010001010010100100101011100000001010000111001000100101001011000010011101010010110101000000101011000000001101000001010000000000001011000000101110001010110110010111010010110100010111100010110110100110101001000010101101011011000011111001110001000100110101010100001001110\n",
"110100010110110001011000100110100101100011101111111111000011100100110001000101101100110111101101110\n",
"10101010101110101010101010101010101010101010101110\n",
"1010101010101011101010101010101010101110101010101010101011101010101010101010101010101010101010101010\n",
"10101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010001010101010101010101010101010101010100010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101000101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010\n",
"101111110100100010101000110011110110001101011111100111001011011011010001010010100100101011100000001010000111001000100101001011000010011101010010110101000000101011000000001101000001010000000000001011000000101110001010110110010111010010110100010111100010110110100110101001000010101101011011000011111001110001000100110101010100001001110\n",
"1001110101111000111010100110111000000110011011100111001111100001000011011001101111000000\n",
"1111111111111111111111111111111111111111111111111111111110110101111111110111111111111111111111111111\n",
"1000111\n",
"1111101\n",
"1111001\n",
"1111011111\n",
"1101111\n",
"101\n",
"1011110101111000111010100110111000000110011011100111001111100001100011011001101110000000\n",
"1000011\n",
"1101011001101110000100010000011111110100010000110011101010110100010010011110101001011111111001100011\n",
"10110100000\n",
"1101\n",
"1101001\n",
"111110\n",
"11110010111010111000000111010101011100011100100100110100111110011111001100010\n",
"1101110\n",
"100\n",
"1001110101111000111010100110111000000110011011100111001111100001100011011001101111000000\n",
"1111111111111111111111111111111111111111111111111111111111110101111111110111111111111111111111111111\n",
"110110001010110101101010111000010000101001001010000110111111000100\n",
"1000010\n",
"1101011000101110000100010000011111110100010000110011101010110100010010011110101001011111111001100011\n",
"10001100101100101000100101000100100111100001111001000011101001010001100111001010011111100101110101010011101101110000111111011100100111110000011111000100011000000010111011010100010110001100010011111100110011100001110011011110000011101111000110100010000111011010011101100101010010110011111101001000011101110111001001100011101100001001010000001110111011111000010101011110011100100000010110110000110000001000111001010101100110000110111100100111000001000101010101101000101111100111011110001000001110011001\n",
"10111100000\n",
"1111\n",
"1101011\n",
"110100010110110001011000100110100101100011101111111111000111100100110001000101101100110111101101110\n",
"10101010101110101010101110101010101010101010101110\n",
"101110\n",
"11100010111010111000000111010101011100011100100100110100111110011111001100010\n",
"1111110\n",
"110110001010110101101010110000010000101001001010000110111111000100\n",
"1101011000101110000100010000010111110100010000110011101010110100010010011110101001011111111001100011\n"
],
"output": [
"4\n",
"1\n",
"2\n",
"29\n",
"2\n",
"2\n",
"24\n",
"4\n",
"4\n",
"32\n",
"50\n",
"250\n",
"167\n",
"6\n",
"2\n",
"4\n",
"119\n",
"34\n",
"25\n",
"3\n",
"2\n",
"1\n",
"2\n",
"28\n",
"3\n",
"29\n",
"3\n",
"23\n",
"33\n",
"50\n",
"249\n",
"166\n",
"5\n",
"1\n",
"120\n",
"34\n",
"25\n",
"2\n",
"27\n",
"4\n",
"22\n",
"49\n",
"248\n",
"165\n",
"119\n",
"35\n",
"24\n",
"48\n",
"247\n",
"118\n",
"28\n",
"6\n",
"3\n",
"3\n",
"3\n",
"3\n",
"3\n",
"2\n",
"29\n",
"3\n",
"34\n",
"4\n",
"3\n",
"4\n",
"2\n",
"27\n",
"3\n",
"1\n",
"29\n",
"5\n",
"22\n",
"2\n",
"34\n",
"166\n",
"3\n",
"2\n",
"4\n",
"35\n",
"23\n",
"3\n",
"27\n",
"2\n",
"22\n",
"35\n"
]
} | 2CODEFORCES
|
279_E. Beautiful Decomposition_38248 | Valera considers a number beautiful, if it equals 2k or -2k for some integer k (k ≥ 0). Recently, the math teacher asked Valera to represent number n as the sum of beautiful numbers. As Valera is really greedy, he wants to complete the task using as few beautiful numbers as possible.
Help Valera and find, how many numbers he is going to need. In other words, if you look at all decompositions of the number n into beautiful summands, you need to find the size of the decomposition which has the fewest summands.
Input
The first line contains string s (1 ≤ |s| ≤ 106), that is the binary representation of number n without leading zeroes (n > 0).
Output
Print a single integer — the minimum amount of beautiful numbers that give a total of n.
Examples
Input
10
Output
1
Input
111
Output
2
Input
1101101
Output
4
Note
In the first sample n = 2 is a beautiful number.
In the second sample n = 7 and Valera can decompose it into sum 23 + ( - 20).
In the third sample n = 109 can be decomposed into the sum of four summands as follows: 27 + ( - 24) + ( - 22) + 20. | import java.awt.*;
import java.awt.event.*;
import java.awt.geom.*;
import java.io.*;
import java.math.*;
import java.text.*;
import java.util.*;
/*
br = new BufferedReader(new FileReader("input.txt"));
pw = new PrintWriter(new BufferedWriter(new FileWriter("output.txt")));
br = new BufferedReader(new InputStreamReader(System.in));
pw = new PrintWriter(new BufferedWriter(new OutputStreamWriter(System.out)));
*/
public class Main {
private static BufferedReader br;
private static StringTokenizer st;
private static PrintWriter pw;
public static void main(String[] args) throws IOException {
br = new BufferedReader(new InputStreamReader(System.in));
pw = new PrintWriter(new BufferedWriter(new OutputStreamWriter(System.out)));
//int qq = 1;
int qq = Integer.MAX_VALUE;
//int qq = readInt();
for(int casenum = 1; casenum <= qq; casenum++) {
String str = nextToken();
Stack<State> stack = new Stack<State>();
for(int i = 0; i < str.length();) {
if(str.charAt(i) == '0') {
i++;
continue;
}
int j = i+1;
while(j < str.length() && str.charAt(j) == '1') {
j++;
}
stack.push(new State(i,j-1));
i=j;
}
int ret = 0;
while(!stack.isEmpty()) {
State curr = stack.pop();
if(curr.a == curr.b) {
ret++;
}
else {
if(stack.isEmpty()) {
ret += 2;
}
else {
if(stack.peek().b + 2 == curr.a) {
stack.peek().b++;
ret++;
}
else {
ret += 2;
}
}
}
}
pw.println(ret);
}
pw.close();
}
static class State {
public int a,b;
public State(int a, int b) {
super();
this.a = a;
this.b = b;
}
}
private static void exitImmediately() {
pw.close();
System.exit(0);
}
private static long readLong() throws IOException {
return Long.parseLong(nextToken());
}
private static double readDouble() throws IOException {
return Double.parseDouble(nextToken());
}
private static int readInt() throws IOException {
return Integer.parseInt(nextToken());
}
private static String nextToken() throws IOException {
while(st == null || !st.hasMoreTokens()) {
if(!br.ready()) {
exitImmediately();
}
st = new StringTokenizer(br.readLine().trim());
}
return st.nextToken();
}
}
| 4JAVA
| {
"input": [
"1101101\n",
"10\n",
"111\n",
"1001110101111000111010100110111000000110011011100111001111100001110011011001101110000000\n",
"1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111\n",
"110\n",
"110110011010110101101010111010010010101001001010000110111111000100\n",
"1010111\n",
"1011101\n",
"1101011001101110000000010000011111110100010000100011101010110100010010011110101001011111111001100011\n",
"1010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010\n",
"10101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010\n",
"10001100101100101000100101000100100111100001111001000011101001010001100111001010011111100101110101010011101101110000111111010100100111110000011111000100011000000010111011000110010110001100010011111100110011100001110011011110000011101111000110100010000111011010011101100101010010110011111101001000011101110111001001100011101100001001010000001110111011111000010101011110011100100000010110110000110000001000111001010101100110000110111100100111000001000101010101101000101111100111011110001000001110011001\n",
"10110100101\n",
"1100\n",
"1011001\n",
"101111110100100010101000110011010110001101011111100111001011011011010001010010100100101011100000001010000111001000110101001011000010011101010010110101000000101011000000001101000001010000000000001011000000101110001010110110010111010010110100010111100010110110100110101001000010101101011011000011111001110001000000110101010100001001110\n",
"111100010110110001011000100110100101100011101111111111000011100101110001000101101100110111101101110\n",
"10101010101010101010101010101010101010101010101010\n",
"110100\n",
"1111111111\n",
"1\n",
"11\n",
"11110010111010111000000111010101011100001100100100110100101110011111001100010\n",
"11010\n",
"1001110101111000111010100110111000000110011011100111001111100001100011011001101110000000\n",
"1111111111111111111111111111111111111111111111111111111111110111111111111111111111111111111111111111\n",
"110110011010110101101010111010010000101001001010000110111111000100\n",
"1101011001101110000100010000011111110100010000100011101010110100010010011110101001011111111001100011\n",
"1010101010101010101010101010101010101010101010101010101011101010101010101010101010101010101010101010\n",
"10101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101000101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010\n",
"10001100101100101000100101000100100111100001111001000011101001010001100111001010011111100101110101010011101101110000111111011100100111110000011111000100011000000010111011000110010110001100010011111100110011100001110011011110000011101111000110100010000111011010011101100101010010110011111101001000011101110111001001100011101100001001010000001110111011111000010101011110011100100000010110110000110000001000111001010101100110000110111100100111000001000101010101101000101111100111011110001000001110011001\n",
"10110100100\n",
"1000\n",
"101111110100100010101000110011010110001101011111100111001011011011010001010010100100101011100000001010000111001000110101001011000010011101010010110101000000101011000000001101000001010000000000001011000000101110001010110110010111010010110100010111100010110110100110101001000010101101011011000011111001110001000100110101010100001001110\n",
"111100010110110001011000100110100101100011101111111111000011100100110001000101101100110111101101110\n",
"10101010101010101010101010101010101010101010101110\n",
"111100\n",
"11110010111010111000000111010101011100001100100100110100111110011111001100010\n",
"1111111111111111111111111111111111111111111111111111111111110101111111111111111111111111111111111111\n",
"110110011010110101101010111000010000101001001010000110111111000100\n",
"1010101010101010101010101010101010101110101010101010101011101010101010101010101010101010101010101010\n",
"10101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010001010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101000101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010\n",
"10001100101100101000100101000100100111100001111001000011101001010001100111001010011111100101110101010011101101110000111111011100100111110000011111000100011000000010111011000100010110001100010011111100110011100001110011011110000011101111000110100010000111011010011101100101010010110011111101001000011101110111001001100011101100001001010000001110111011111000010101011110011100100000010110110000110000001000111001010101100110000110111100100111000001000101010101101000101111100111011110001000001110011001\n",
"101111110100100010101000110011010110001101011111100111001011011011010001010010100100101011100000001010000111001000100101001011000010011101010010110101000000101011000000001101000001010000000000001011000000101110001010110110010111010010110100010111100010110110100110101001000010101101011011000011111001110001000100110101010100001001110\n",
"110100010110110001011000100110100101100011101111111111000011100100110001000101101100110111101101110\n",
"10101010101110101010101010101010101010101010101110\n",
"1010101010101011101010101010101010101110101010101010101011101010101010101010101010101010101010101010\n",
"10101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010001010101010101010101010101010101010100010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101000101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010\n",
"101111110100100010101000110011110110001101011111100111001011011011010001010010100100101011100000001010000111001000100101001011000010011101010010110101000000101011000000001101000001010000000000001011000000101110001010110110010111010010110100010111100010110110100110101001000010101101011011000011111001110001000100110101010100001001110\n",
"1001110101111000111010100110111000000110011011100111001111100001000011011001101111000000\n",
"1111111111111111111111111111111111111111111111111111111110110101111111110111111111111111111111111111\n",
"1000111\n",
"1111101\n",
"1111001\n",
"1111011111\n",
"1101111\n",
"101\n",
"1011110101111000111010100110111000000110011011100111001111100001100011011001101110000000\n",
"1000011\n",
"1101011001101110000100010000011111110100010000110011101010110100010010011110101001011111111001100011\n",
"10110100000\n",
"1101\n",
"1101001\n",
"111110\n",
"11110010111010111000000111010101011100011100100100110100111110011111001100010\n",
"1101110\n",
"100\n",
"1001110101111000111010100110111000000110011011100111001111100001100011011001101111000000\n",
"1111111111111111111111111111111111111111111111111111111111110101111111110111111111111111111111111111\n",
"110110001010110101101010111000010000101001001010000110111111000100\n",
"1000010\n",
"1101011000101110000100010000011111110100010000110011101010110100010010011110101001011111111001100011\n",
"10001100101100101000100101000100100111100001111001000011101001010001100111001010011111100101110101010011101101110000111111011100100111110000011111000100011000000010111011010100010110001100010011111100110011100001110011011110000011101111000110100010000111011010011101100101010010110011111101001000011101110111001001100011101100001001010000001110111011111000010101011110011100100000010110110000110000001000111001010101100110000110111100100111000001000101010101101000101111100111011110001000001110011001\n",
"10111100000\n",
"1111\n",
"1101011\n",
"110100010110110001011000100110100101100011101111111111000111100100110001000101101100110111101101110\n",
"10101010101110101010101110101010101010101010101110\n",
"101110\n",
"11100010111010111000000111010101011100011100100100110100111110011111001100010\n",
"1111110\n",
"110110001010110101101010110000010000101001001010000110111111000100\n",
"1101011000101110000100010000010111110100010000110011101010110100010010011110101001011111111001100011\n"
],
"output": [
"4\n",
"1\n",
"2\n",
"29\n",
"2\n",
"2\n",
"24\n",
"4\n",
"4\n",
"32\n",
"50\n",
"250\n",
"167\n",
"6\n",
"2\n",
"4\n",
"119\n",
"34\n",
"25\n",
"3\n",
"2\n",
"1\n",
"2\n",
"28\n",
"3\n",
"29\n",
"3\n",
"23\n",
"33\n",
"50\n",
"249\n",
"166\n",
"5\n",
"1\n",
"120\n",
"34\n",
"25\n",
"2\n",
"27\n",
"4\n",
"22\n",
"49\n",
"248\n",
"165\n",
"119\n",
"35\n",
"24\n",
"48\n",
"247\n",
"118\n",
"28\n",
"6\n",
"3\n",
"3\n",
"3\n",
"3\n",
"3\n",
"2\n",
"29\n",
"3\n",
"34\n",
"4\n",
"3\n",
"4\n",
"2\n",
"27\n",
"3\n",
"1\n",
"29\n",
"5\n",
"22\n",
"2\n",
"34\n",
"166\n",
"3\n",
"2\n",
"4\n",
"35\n",
"23\n",
"3\n",
"27\n",
"2\n",
"22\n",
"35\n"
]
} | 2CODEFORCES
|
301_D. Yaroslav and Divisors_38249 | Yaroslav has an array p = p1, p2, ..., pn (1 ≤ pi ≤ n), consisting of n distinct integers. Also, he has m queries:
* Query number i is represented as a pair of integers li, ri (1 ≤ li ≤ ri ≤ n).
* The answer to the query li, ri is the number of pairs of integers q, w (li ≤ q, w ≤ ri) such that pq is the divisor of pw.
Help Yaroslav, answer all his queries.
Input
The first line contains the integers n and m (1 ≤ n, m ≤ 2·105). The second line contains n distinct integers p1, p2, ..., pn (1 ≤ pi ≤ n). The following m lines contain Yaroslav's queries. The i-th line contains integers li, ri (1 ≤ li ≤ ri ≤ n).
Output
Print m integers — the answers to Yaroslav's queries in the order they appear in the input.
Please, do not use the %lld specifier to read or write 64-bit integers in C++. It is preferred to use the cin, cout streams or the %I64d specifier.
Examples
Input
1 1
1
1 1
Output
1
Input
10 9
1 2 3 4 5 6 7 8 9 10
1 10
2 9
3 8
4 7
5 6
2 2
9 10
5 10
4 10
Output
27
14
8
4
2
1
2
7
9 | #include <bits/stdc++.h>
using namespace std;
const int N = 201000;
int n, a[N], pos[N], l[N], r[N], C[N], idx[N], ans[N];
vector<int> nu[N];
void bitModify(int p) {
for (int i = p; i > 0; i -= i & -i) C[i]++;
}
int bitQuery(int p) {
int ret = 0;
for (int i = p; i <= n; i += i & -i) ret += C[i];
return ret;
}
bool cmp(int a, int b) { return r[a] < r[b]; }
int main() {
int nq;
scanf("%d%d", &n, &nq);
for (int i = 1; i <= n; i++) {
scanf("%d", &a[i]);
pos[a[i]] = i;
}
for (int i = 1; i <= n; i++) {
for (int j = 1; i * j <= n; j++) {
int a = pos[i];
int b = pos[i * j];
if (a > b) swap(a, b);
nu[b].push_back(a);
}
}
for (int i = 0; i < nq; i++) {
scanf("%d%d", &l[i], &r[i]);
idx[i] = i;
}
sort(idx, idx + nq, cmp);
int p = 0;
for (int i = 0; i < nq; i++) {
int ll = l[idx[i]];
int rr = r[idx[i]];
while (p < rr) {
p++;
for (int i = 0; i < (int)nu[p].size(); i++) {
bitModify(nu[p][i]);
}
}
ans[idx[i]] = bitQuery(ll);
}
for (int i = 0; i < nq; i++) {
printf("%d%c", ans[i], " \n"[i == nq - 1]);
}
return 0;
}
| 2C++
| {
"input": [
"1 1\n1\n1 1\n",
"10 9\n1 2 3 4 5 6 7 8 9 10\n1 10\n2 9\n3 8\n4 7\n5 6\n2 2\n9 10\n5 10\n4 10\n",
"8 8\n1 2 3 4 5 6 7 8\n5 6\n4 8\n3 8\n2 4\n3 5\n5 7\n4 4\n4 8\n",
"3 3\n1 2 3\n1 1\n2 3\n1 1\n",
"3 3\n3 2 1\n1 3\n1 3\n1 3\n",
"4 4\n4 2 3 1\n3 4\n1 4\n1 2\n4 4\n",
"5 5\n1 2 3 4 5\n1 5\n1 5\n1 2\n1 5\n1 5\n",
"10 10\n1 2 3 4 5 6 7 8 9 10\n4 8\n5 10\n1 10\n9 10\n1 2\n4 8\n3 5\n3 7\n3 8\n5 9\n",
"2 2\n1 2\n1 2\n2 2\n",
"9 9\n1 2 3 4 5 6 7 8 9\n1 9\n1 1\n4 5\n1 7\n2 3\n3 5\n1 7\n6 8\n1 1\n",
"6 6\n1 2 3 4 5 6\n2 5\n1 3\n1 4\n1 6\n3 4\n1 3\n",
"7 7\n1 2 3 4 5 6 7\n1 7\n1 7\n1 7\n1 7\n1 7\n1 7\n1 1\n",
"2 2\n1 2\n2 2\n2 2\n",
"6 6\n1 2 3 4 5 6\n2 5\n2 3\n1 4\n1 6\n3 4\n1 3\n",
"3 3\n1 2 3\n1 1\n2 3\n1 2\n",
"6 6\n1 2 3 4 5 6\n2 5\n2 3\n1 4\n1 6\n3 4\n1 4\n",
"3 3\n3 2 1\n1 3\n2 3\n1 3\n",
"5 5\n1 2 3 4 5\n1 5\n2 5\n1 2\n1 5\n1 5\n",
"2 2\n1 2\n1 2\n1 2\n",
"5 5\n1 2 3 4 5\n1 5\n2 5\n1 2\n2 5\n1 5\n",
"2 2\n1 2\n1 2\n1 1\n",
"5 5\n1 2 3 4 5\n1 1\n2 5\n1 2\n2 5\n1 5\n",
"5 5\n1 2 3 4 5\n1 1\n2 2\n1 2\n2 5\n1 5\n",
"3 3\n3 2 1\n1 3\n1 3\n2 3\n",
"5 5\n1 2 3 4 5\n1 5\n1 5\n1 2\n2 5\n1 5\n",
"6 6\n1 2 3 4 5 6\n2 5\n2 4\n1 4\n1 6\n3 4\n1 3\n",
"5 5\n1 2 3 4 5\n1 1\n2 5\n1 2\n2 5\n2 5\n",
"5 5\n1 2 3 4 5\n1 1\n2 2\n1 2\n1 5\n1 5\n",
"3 3\n3 2 1\n1 1\n1 3\n2 3\n",
"5 5\n1 2 3 4 5\n1 5\n1 5\n1 4\n2 5\n1 5\n",
"5 5\n1 2 3 4 5\n1 2\n2 2\n1 2\n1 5\n1 5\n",
"3 3\n3 2 1\n1 1\n1 3\n2 2\n",
"4 4\n4 2 3 1\n3 4\n1 4\n1 2\n1 4\n",
"6 6\n1 2 3 4 5 6\n2 5\n2 3\n1 2\n1 6\n3 4\n1 4\n",
"5 5\n1 2 3 4 5\n1 1\n2 5\n1 3\n2 5\n1 5\n",
"5 5\n1 2 3 4 5\n1 5\n1 5\n1 2\n2 5\n1 3\n",
"5 5\n1 2 3 4 5\n1 1\n4 5\n1 2\n2 5\n2 5\n",
"5 5\n1 2 3 4 5\n2 5\n1 5\n1 2\n2 5\n1 3\n",
"5 5\n1 2 3 4 5\n1 1\n4 5\n1 2\n2 5\n3 5\n",
"8 8\n1 2 3 4 5 6 7 8\n5 6\n7 8\n3 8\n2 4\n3 5\n5 7\n4 4\n4 8\n",
"5 5\n1 2 3 4 5\n1 5\n1 5\n1 2\n1 5\n1 1\n",
"6 6\n1 2 3 4 5 6\n2 5\n1 3\n2 4\n1 6\n3 4\n1 3\n",
"6 6\n1 2 3 4 5 6\n2 5\n2 3\n1 4\n1 6\n2 4\n1 3\n",
"6 6\n1 2 3 4 5 6\n2 5\n3 3\n1 4\n1 6\n3 4\n1 4\n",
"5 5\n1 2 3 4 5\n1 5\n2 5\n1 2\n2 5\n1 2\n",
"5 5\n1 2 3 4 5\n1 1\n2 2\n1 4\n1 5\n1 5\n",
"5 5\n1 2 3 4 5\n1 1\n2 5\n1 3\n4 5\n1 5\n",
"5 5\n1 2 3 4 5\n1 1\n4 5\n1 2\n2 5\n2 2\n",
"5 5\n1 2 3 4 5\n1 1\n4 5\n1 4\n2 5\n3 5\n",
"5 5\n1 2 3 4 5\n1 1\n4 5\n1 3\n4 5\n1 5\n",
"3 3\n1 2 3\n1 1\n1 3\n1 1\n",
"2 2\n2 1\n2 2\n2 2\n"
],
"output": [
"1\n",
"27\n14\n8\n4\n2\n1\n2\n7\n9\n",
"2\n6\n8\n4\n3\n3\n1\n6\n",
"1\n2\n1\n",
"5\n5\n5\n",
"3\n8\n3\n1\n",
"10\n10\n3\n10\n10\n",
"6\n7\n27\n2\n3\n6\n3\n6\n8\n5\n",
"3\n1\n",
"23\n1\n2\n16\n2\n3\n16\n3\n1\n",
"5\n5\n8\n14\n2\n5\n",
"16\n16\n16\n16\n16\n16\n1\n",
"1\n1\n",
"5\n2\n8\n14\n2\n5\n",
"1\n2\n3\n",
"5\n2\n8\n14\n2\n8\n",
"5\n3\n5\n",
"10\n5\n3\n10\n10\n",
"3\n3\n",
"10\n5\n3\n5\n10\n",
"3\n1\n",
"1\n5\n3\n5\n10\n",
"1\n1\n3\n5\n10\n",
"5\n5\n3\n",
"10\n10\n3\n5\n10\n",
"5\n4\n8\n14\n2\n5\n",
"1\n5\n3\n5\n5\n",
"1\n1\n3\n10\n10\n",
"1\n5\n3\n",
"10\n10\n8\n5\n10\n",
"3\n1\n3\n10\n10\n",
"1\n5\n1\n",
"3\n8\n3\n8\n",
"5\n2\n3\n14\n2\n8\n",
"1\n5\n5\n5\n10\n",
"10\n10\n3\n5\n5\n",
"1\n2\n3\n5\n5\n",
"5\n10\n3\n5\n5\n",
"1\n2\n3\n5\n3\n",
"2\n2\n8\n4\n3\n3\n1\n6\n",
"10\n10\n3\n10\n1\n",
"5\n5\n4\n14\n2\n5\n",
"5\n2\n8\n14\n4\n5\n",
"5\n1\n8\n14\n2\n8\n",
"10\n5\n3\n5\n3\n",
"1\n1\n8\n10\n10\n",
"1\n5\n5\n2\n10\n",
"1\n2\n3\n5\n1\n",
"1\n2\n8\n5\n3\n",
"1\n2\n5\n2\n10\n",
"1\n5\n1\n",
"1\n1\n"
]
} | 2CODEFORCES
|
301_D. Yaroslav and Divisors_38250 | Yaroslav has an array p = p1, p2, ..., pn (1 ≤ pi ≤ n), consisting of n distinct integers. Also, he has m queries:
* Query number i is represented as a pair of integers li, ri (1 ≤ li ≤ ri ≤ n).
* The answer to the query li, ri is the number of pairs of integers q, w (li ≤ q, w ≤ ri) such that pq is the divisor of pw.
Help Yaroslav, answer all his queries.
Input
The first line contains the integers n and m (1 ≤ n, m ≤ 2·105). The second line contains n distinct integers p1, p2, ..., pn (1 ≤ pi ≤ n). The following m lines contain Yaroslav's queries. The i-th line contains integers li, ri (1 ≤ li ≤ ri ≤ n).
Output
Print m integers — the answers to Yaroslav's queries in the order they appear in the input.
Please, do not use the %lld specifier to read or write 64-bit integers in C++. It is preferred to use the cin, cout streams or the %I64d specifier.
Examples
Input
1 1
1
1 1
Output
1
Input
10 9
1 2 3 4 5 6 7 8 9 10
1 10
2 9
3 8
4 7
5 6
2 2
9 10
5 10
4 10
Output
27
14
8
4
2
1
2
7
9 | import static java.util.Arrays.*;
import java.util.*;
public class D {
private final static boolean autoflush = false;
public D () {
int N = sc.nextInt(), M = sc.nextInt();
Integer [] P = invert(dec(sc.nextInts()));
int [][] Q = new int [M][];
for (int i = 0; i < M; ++i)
Q[i] = new int [] { sc.nextInt(), sc.nextInt(), i };
@SuppressWarnings("unchecked")
List<Integer> [] D = new List [N];
for (int i = 2; i <= N; ++i) {
int p = P[i-1];
for (int j = 2; j <= N/i; ++j) {
int q = P[i*j - 1];
int s = p < q ? p : q, t = p + q - s;
if (D[t] == null)
D[t] = new ArrayList<Integer>();
D[t].add(s);
}
}
Comparator<int[]> cmp = new Comparator<int[]>() {
public int compare(int[] x, int[] y) {
return Integer.compare(x[1], y[1]);
}
};
sort(Q, cmp);
Fenwick S = new Fenwick(N);
long [] res = new long [M];
int q = 0, x = P[0];
for (int i = 0; i < M; ++i) {
int L = Q[i][0], R = Q[i][1];
for (; q < R; ++q)
if (D[q] != null)
for (int p : D[q])
S.add(1, p);
int j = Q[i][2];
res[j] = (S.get(R) - S.get(L-1)) + (R - L + 1);
if (x >= L-1 && x < R)
res[j] += (R - L);
}
for (long r : res)
pw.println(r);
}
private static Integer [] dec(Integer [] A) {
for (int i = 0; i < A.length; ++i)
--A[i];
return A;
}
private static class Fenwick {
private final long [] X;
public Fenwick(int N) {
X = new long [N];
}
public void add(long x, int i) {
++i; assert(i <= X.length);
while (i <= X.length) {
X[i-1] += x;
i += (i & (-i));
}
}
public long get(int to) {
assert(to <= X.length);
long res = 0;
for (; to > 0; res += X[to-1], to -= (to & (-to)));
return res;
}
}
private static Integer [] invert(Integer [] J) {
int N = J.length;
Integer [] res = new Integer [N];
for (int i = 0; i < N; ++i)
res[J[i]] = i;
return res;
}
////////////////////////////////////////////////////////////////////////////////////
private final static MyScanner sc = new MyScanner();
private static class MyScanner {
public String next() { newLine(); return line[index++]; }
public int nextInt() { return Integer.parseInt(next()); }
public String nextLine() { line = null; return readLine(); }
public String [] nextStrings() { return nextLine().split(" "); }
public Integer [] nextInts() {
String [] L = nextStrings();
Integer [] res = new Integer [L.length];
for (int i = 0; i < L.length; ++i)
res[i] = Integer.parseInt(L[i]);
return res;
}
//////////////////////////////////////////////
private boolean eol() { return index == line.length; }
private String readLine() {
try {
return r.readLine();
} catch (Exception e) {
throw new Error (e);
}
}
private final java.io.BufferedReader r;
private MyScanner () { this(new java.io.BufferedReader(new java.io.InputStreamReader(System.in))); }
private MyScanner (java.io.BufferedReader r) {
try {
this.r = r;
while (!r.ready())
Thread.sleep(1);
start();
} catch (Exception e) {
throw new Error(e);
}
}
private String [] line;
private int index;
private void newLine() {
if (line == null || eol()) {
line = readLine().split(" ");
index = 0;
}
}
}
private static void exit() {
pw.close();
System.out.flush();
System.err.println("------------------");
System.err.println("Time: " + ((millis() - t) / 1000.0));
System.exit(0);
}
////////////////////////////////////////////////////////////////////////////////////
private static void start() { t = millis(); }
private static java.io.PrintWriter pw = new java.io.PrintWriter(System.out, autoflush);
private static long t;
private static long millis() { return System.currentTimeMillis(); }
public static void main (String[] args) { new D(); exit(); }
} | 4JAVA
| {
"input": [
"1 1\n1\n1 1\n",
"10 9\n1 2 3 4 5 6 7 8 9 10\n1 10\n2 9\n3 8\n4 7\n5 6\n2 2\n9 10\n5 10\n4 10\n",
"8 8\n1 2 3 4 5 6 7 8\n5 6\n4 8\n3 8\n2 4\n3 5\n5 7\n4 4\n4 8\n",
"3 3\n1 2 3\n1 1\n2 3\n1 1\n",
"3 3\n3 2 1\n1 3\n1 3\n1 3\n",
"4 4\n4 2 3 1\n3 4\n1 4\n1 2\n4 4\n",
"5 5\n1 2 3 4 5\n1 5\n1 5\n1 2\n1 5\n1 5\n",
"10 10\n1 2 3 4 5 6 7 8 9 10\n4 8\n5 10\n1 10\n9 10\n1 2\n4 8\n3 5\n3 7\n3 8\n5 9\n",
"2 2\n1 2\n1 2\n2 2\n",
"9 9\n1 2 3 4 5 6 7 8 9\n1 9\n1 1\n4 5\n1 7\n2 3\n3 5\n1 7\n6 8\n1 1\n",
"6 6\n1 2 3 4 5 6\n2 5\n1 3\n1 4\n1 6\n3 4\n1 3\n",
"7 7\n1 2 3 4 5 6 7\n1 7\n1 7\n1 7\n1 7\n1 7\n1 7\n1 1\n",
"2 2\n1 2\n2 2\n2 2\n",
"6 6\n1 2 3 4 5 6\n2 5\n2 3\n1 4\n1 6\n3 4\n1 3\n",
"3 3\n1 2 3\n1 1\n2 3\n1 2\n",
"6 6\n1 2 3 4 5 6\n2 5\n2 3\n1 4\n1 6\n3 4\n1 4\n",
"3 3\n3 2 1\n1 3\n2 3\n1 3\n",
"5 5\n1 2 3 4 5\n1 5\n2 5\n1 2\n1 5\n1 5\n",
"2 2\n1 2\n1 2\n1 2\n",
"5 5\n1 2 3 4 5\n1 5\n2 5\n1 2\n2 5\n1 5\n",
"2 2\n1 2\n1 2\n1 1\n",
"5 5\n1 2 3 4 5\n1 1\n2 5\n1 2\n2 5\n1 5\n",
"5 5\n1 2 3 4 5\n1 1\n2 2\n1 2\n2 5\n1 5\n",
"3 3\n3 2 1\n1 3\n1 3\n2 3\n",
"5 5\n1 2 3 4 5\n1 5\n1 5\n1 2\n2 5\n1 5\n",
"6 6\n1 2 3 4 5 6\n2 5\n2 4\n1 4\n1 6\n3 4\n1 3\n",
"5 5\n1 2 3 4 5\n1 1\n2 5\n1 2\n2 5\n2 5\n",
"5 5\n1 2 3 4 5\n1 1\n2 2\n1 2\n1 5\n1 5\n",
"3 3\n3 2 1\n1 1\n1 3\n2 3\n",
"5 5\n1 2 3 4 5\n1 5\n1 5\n1 4\n2 5\n1 5\n",
"5 5\n1 2 3 4 5\n1 2\n2 2\n1 2\n1 5\n1 5\n",
"3 3\n3 2 1\n1 1\n1 3\n2 2\n",
"4 4\n4 2 3 1\n3 4\n1 4\n1 2\n1 4\n",
"6 6\n1 2 3 4 5 6\n2 5\n2 3\n1 2\n1 6\n3 4\n1 4\n",
"5 5\n1 2 3 4 5\n1 1\n2 5\n1 3\n2 5\n1 5\n",
"5 5\n1 2 3 4 5\n1 5\n1 5\n1 2\n2 5\n1 3\n",
"5 5\n1 2 3 4 5\n1 1\n4 5\n1 2\n2 5\n2 5\n",
"5 5\n1 2 3 4 5\n2 5\n1 5\n1 2\n2 5\n1 3\n",
"5 5\n1 2 3 4 5\n1 1\n4 5\n1 2\n2 5\n3 5\n",
"8 8\n1 2 3 4 5 6 7 8\n5 6\n7 8\n3 8\n2 4\n3 5\n5 7\n4 4\n4 8\n",
"5 5\n1 2 3 4 5\n1 5\n1 5\n1 2\n1 5\n1 1\n",
"6 6\n1 2 3 4 5 6\n2 5\n1 3\n2 4\n1 6\n3 4\n1 3\n",
"6 6\n1 2 3 4 5 6\n2 5\n2 3\n1 4\n1 6\n2 4\n1 3\n",
"6 6\n1 2 3 4 5 6\n2 5\n3 3\n1 4\n1 6\n3 4\n1 4\n",
"5 5\n1 2 3 4 5\n1 5\n2 5\n1 2\n2 5\n1 2\n",
"5 5\n1 2 3 4 5\n1 1\n2 2\n1 4\n1 5\n1 5\n",
"5 5\n1 2 3 4 5\n1 1\n2 5\n1 3\n4 5\n1 5\n",
"5 5\n1 2 3 4 5\n1 1\n4 5\n1 2\n2 5\n2 2\n",
"5 5\n1 2 3 4 5\n1 1\n4 5\n1 4\n2 5\n3 5\n",
"5 5\n1 2 3 4 5\n1 1\n4 5\n1 3\n4 5\n1 5\n",
"3 3\n1 2 3\n1 1\n1 3\n1 1\n",
"2 2\n2 1\n2 2\n2 2\n"
],
"output": [
"1\n",
"27\n14\n8\n4\n2\n1\n2\n7\n9\n",
"2\n6\n8\n4\n3\n3\n1\n6\n",
"1\n2\n1\n",
"5\n5\n5\n",
"3\n8\n3\n1\n",
"10\n10\n3\n10\n10\n",
"6\n7\n27\n2\n3\n6\n3\n6\n8\n5\n",
"3\n1\n",
"23\n1\n2\n16\n2\n3\n16\n3\n1\n",
"5\n5\n8\n14\n2\n5\n",
"16\n16\n16\n16\n16\n16\n1\n",
"1\n1\n",
"5\n2\n8\n14\n2\n5\n",
"1\n2\n3\n",
"5\n2\n8\n14\n2\n8\n",
"5\n3\n5\n",
"10\n5\n3\n10\n10\n",
"3\n3\n",
"10\n5\n3\n5\n10\n",
"3\n1\n",
"1\n5\n3\n5\n10\n",
"1\n1\n3\n5\n10\n",
"5\n5\n3\n",
"10\n10\n3\n5\n10\n",
"5\n4\n8\n14\n2\n5\n",
"1\n5\n3\n5\n5\n",
"1\n1\n3\n10\n10\n",
"1\n5\n3\n",
"10\n10\n8\n5\n10\n",
"3\n1\n3\n10\n10\n",
"1\n5\n1\n",
"3\n8\n3\n8\n",
"5\n2\n3\n14\n2\n8\n",
"1\n5\n5\n5\n10\n",
"10\n10\n3\n5\n5\n",
"1\n2\n3\n5\n5\n",
"5\n10\n3\n5\n5\n",
"1\n2\n3\n5\n3\n",
"2\n2\n8\n4\n3\n3\n1\n6\n",
"10\n10\n3\n10\n1\n",
"5\n5\n4\n14\n2\n5\n",
"5\n2\n8\n14\n4\n5\n",
"5\n1\n8\n14\n2\n8\n",
"10\n5\n3\n5\n3\n",
"1\n1\n8\n10\n10\n",
"1\n5\n5\n2\n10\n",
"1\n2\n3\n5\n1\n",
"1\n2\n8\n5\n3\n",
"1\n2\n5\n2\n10\n",
"1\n5\n1\n",
"1\n1\n"
]
} | 2CODEFORCES
|
328_B. Sheldon and Ice Pieces_38251 | Do you remember how Kai constructed the word "eternity" using pieces of ice as components?
Little Sheldon plays with pieces of ice, each piece has exactly one digit between 0 and 9. He wants to construct his favourite number t. He realized that digits 6 and 9 are very similar, so he can rotate piece of ice with 6 to use as 9 (and vice versa). Similary, 2 and 5 work the same. There is no other pair of digits with similar effect. He called this effect "Digital Mimicry".
Sheldon favourite number is t. He wants to have as many instances of t as possible. How many instances he can construct using the given sequence of ice pieces. He can use any piece at most once.
Input
The first line contains integer t (1 ≤ t ≤ 10000). The second line contains the sequence of digits on the pieces. The length of line is equal to the number of pieces and between 1 and 200, inclusive. It contains digits between 0 and 9.
Output
Print the required number of instances.
Examples
Input
42
23454
Output
2
Input
169
12118999
Output
1
Note
This problem contains very weak pretests. | t, s = [raw_input().replace('6', '9').replace('2', '5') for i in range(2)]
print min([s.count(i)/t.count(i) for i in t]) | 1Python2
| {
"input": [
"42\n23454\n",
"169\n12118999\n",
"5518\n9827108589585181118358352282425981568508825302611217254345831149357236227288533838583629451589201341265988858338548185158221291825821019993179835186961954871454\n",
"533\n355233333332\n",
"9\n666969\n",
"2559\n5252555622565626\n",
"2569\n9592525295556669222269569596622566529699\n",
"11\n1\n",
"9697\n76694996266995167659667796999669903799299696697971977966766996767667996967697669766777697969669669297966667776967677699767966667666769699790768276666766\n",
"2559\n52555995269265555695922255525995255259555259252562655622526292929555265526255252526255555296956995596262965522222225655655262255226222259622295225295525265995566255556225522559559295225625559595222652\n",
"5\n2\n",
"555\n225225252222255\n",
"33\n33333333\n",
"25\n52\n",
"100\n11111000000000001010110010101100011011110101000000000001100110007111110010100000011000010011000011000010010000111101000010000000801000100111000410010100100000001011000000000101100010110001001100010001\n",
"266\n26266956652996996666662666992669966292555295699956956255562529696222966929669665256625596629565696225696662556996969659952659665522965269529566599526566699292225569566599656596562966965669929996226599\n",
"9697\n979966799976\n",
"18\n8118\n",
"7\n777\n",
"2569\n2569256925692569256925692569256925692569\n",
"6\n9669969\n",
"1\n1\n",
"5518\n22882121\n",
"2591\n5291\n",
"1780\n8170880870810081711018110878070777078711\n",
"22\n25552222222255\n",
"5\n22252\n",
"555\n25225222525252252255252525552255255522522522225252252525225555225552525255255252252225225255225552522252552252252522555255522225555252255555222225252525522252252255522522225252255522525552525225522552\n",
"9\n99669996666966699999666999999666999699966669696969999696666669696967969666969696696696699669696999669669966696699666669996696666996699999696666696996666666969996996696696969666999999996666699966996696\n",
"2\n5255\n",
"22\n35354953025524221524235223225255512262254275553262592555522123522225045753552560550228255220622552552252517202252456715552032250226729355222227262525262552362252277292927052612301558753527582221622055\n",
"52\n222222222222222\n",
"99\n966969969696699969\n",
"266\n565596629695965699\n",
"2569\n09629965966225566262579565696595696954525955599926383255926955906666526913925296256629966292216925259225261263256229509529259756291959568892569599592218262625256926619266669279659295979299556965525222\n",
"2591\n95195222396509125191259289255559161259521226176117\n",
"9\n1178263\n",
"2569\n12687990117657438775903332794212730347567\n",
"9697\n126972072629057708380892077150586442702211079062622768297593630827097408755879669047000363344790409627751632102489460658059082365856765058433321796883434\n",
"2559\n47586110869884297571181627810326188098267146037437994407647985995641052619326459527860368682268999054656294528136045716076587499539162106236898410199122194714268150137703293440784412716256983740127401\n",
"266\n33078609529900981760806663496065705573537646989453663576760358103283660581437036731534240930507539795698970669471687852051836909461663584282848874393996875823647997166687422813409128500544828043896898\n",
"1780\n1943608316423166319989074672999617645627\n",
"555\n26116679321621886824225122316132204276055583923033131705570376492493124462565943546202097037799509292338340532492323959449103366043457102359559674982979069857300578460734259940492532955543486054737505\n",
"9\n158688233798092460703535125410853542871810354045136991820211402212580627457582182580676981602929173714976711430400026565923483963770124037786590287560731905903867456067909100166900536197831119800810139\n",
"22\n34976017947206371815775023229448382718181798943559886241613101952824542410662326283086225707573595164417068469606887398689158155107574624046095059568907593880969963022214754432833047930406077155608610\n",
"99\n667764860664399730\n",
"2569\n22260214657964421826321347467902804799829\n",
"9697\n247413139714774869116810249639616212175638729704813549093523689360958801747422633912055720318725487858436408507797037967471004106743888137624176513338600\n",
"2559\n94119935392617103050285912498380272459376573672999325734793242170027028840948875496473208999441341790962313785611542206222397355863581540092066757222793769942122846647660934138761290583990188854841009\n",
"100\n37733549349126025727821227839900385006476032813696108316948761119397979111203493210570333334735946613365664785885029198270498566479571226733995954920599928857461753588507814971253815472804331564393494\n",
"555\n9649494242966005701063126970126036467670242151045444987652434056160373299303771384051965786320871923368930269460224254278969901288349978135596762962075535790066431370231107755237027589107834348854058\n",
"9\n143287287099411514941567198878779210274203095846103518420710076606730587422114269061470031477912984526415183331565530814031268539448423481991241736455384984349367588434520037245927542056958451318349237\n",
"22\n7057027738611223497118880229082224245277193083249154115971198752733146806146713110707102350698830100819124913803606810033230991242755393689637199563206798778888431840460319927695454133558294437767790\n",
"2559\n27451748028827002824527350033566573764525264144653313875689870376473093473726912794999998034743118014394520024438085225175988326504841356016178844795695402690543199213493523961431987034294074613198039\n",
"9\n105117322917603332719876764078347680190661101095029308205585563645909525149454753787229638368128993506850948431386367806226621632958281248832910268525369055851986901113625051509519192863816000026976400\n",
"22\n2256095964918082754782808885949050608951711724476270154824672696341270387418433790338325889690420387829672313645612147418105380904054522467635301465889261585227563089985954917894148938495059999421935\n",
"266\n30025007243647050225764458686858354661283246567225509752261111699041868771868081213653969869249825308736032340695194971954308527015682596296663634759616597814926717624844673825583027817111684294907403\n",
"555\n17001180100283959638851109492216927026457332397368952105718593515880823214582024157633315080945251303057106313753963615551462997570345800561287433098800745392712002454490436896409084604945575236209424\n",
"9\n93517522835973416023478148119027841968283443921373754072940142266392240509172234215901983698371530797202993995411786088350221069734993133966834762461597982133951661304205585829761967061775872753750720\n",
"22\n3958429471478430203587105749705398909513801482260856716310824465496156135435384879740032621803826752009303041050941980922699572170003783989558804866583171467039092420377616357104313028301628154509375\n",
"9697\n948006532706505316467811625520457266460863733957063621861114036775046687252027714345852068911730337522361863222178640459410142107474109921448030873402767\n",
"266\n34832616781632517042690485424471570246064157764459539358284485155981163836773029941189368175532477684009524191729583166839671514607567374096399379017566905727467793578092544385866745792519077531063459\n",
"2559\n4149523190371965\n",
"555\n186877331227356\n",
"33\n31744823\n",
"100\n19673053386549103186424939846568403930976116396229344851170078661846053921022524093640765056619960669129090332556641872373816457296432361743236341057248039747183021359953617850800893926013867246094357\n",
"7\n769\n",
"2569\n813449578351217387329427215789180120828\n",
"6\n11601471\n",
"52\n274605947877978\n",
"266\n1097954168113261071\n",
"2569\n4750742951628955517803990592584845318248130141734342365903452277985034983294858240213621295210870412745597143149488923403701787079691815361196138269899320924183396391997422632247174848441160643043384\n",
"2591\n161523230274458492695824859901482848294309607823643\n",
"555\n305895097942266\n",
"266\n18481938613945544307623852243973719712551622624582898560718475000698244154411186368475300479960247371502772614839190284946594855353675889751151288648022169487229216579842137575282765651627366687439994\n",
"7\n878\n",
"2569\n1067600690286262853981364329703830514593\n",
"52\n371476509783622\n",
"99\n556997207023072934\n",
"266\n1662600278409124562\n",
"2569\n2416151626462923093531839114691039408440860342521471792807993457247056040244670225116790005941397366383677562574420993306548049214191444322755766893692116120495928518598213080035152807249618127706847\n",
"2591\n7011719356990851756081497633620817703758179571369\n",
"2569\n19704272278315158220329258732594469611045\n",
"9697\n484991028961821055656024564110911422590957008096700674343204686263681185104322823301858372246787707207202874352243565952549629176166053375241280518724162\n",
"555\n372502796203578\n",
"100\n18327191800779544561854546996812601764886503886219342235714597696296170672241686628981845161136686014097112115953799165576648544047492033749190020171962479642280459351489729156194953503361257214910299\n",
"266\n17379069325322549087615738691300377745367538847554147360977384212319546006103206758063253735617492116309589360163879888901867387660812205078433589509346631570063740450067676810855878939039532390949214\n",
"2569\n1075759078832178993597823899179655800102\n",
"555\n8554217035112627926773496974032355057552875531802619880278708280280086574325084412680871423512446303228145507989901011771213370920220307969930334768415468576820528495281414708147992229368775050969423\n",
"99\n892653766004310406\n",
"266\n2383786323909673311\n",
"2569\n1711184056492879129935672561157729620729718765248182190327186766476115695244633663206294866237154163141364100660203338539436786216107275505105098825324630016863304828151937157052896652624247347964749\n",
"2591\n201846284115134330742335888783907885353814777508\n",
"2569\n8120683179672563401528366258473652935664\n",
"9697\n665944826673784175923222754867545275212350997889924256667703391060493977725164943553891539933644078310874816186071369786112779869600881851751832768144900\n",
"2559\n31508987523936867798413132700552802675051155133800499597415232268298217113360759698738604155174800719638747756848961331125698996603065378573778868126454676249283218675391306859758622997550194097995283\n",
"555\n563460514965477\n",
"100\n18373776256712967920744434880633665580054812643356496072936047524778113821777954843770928711160520592166826127157380437624750789317571533746226884877110863202696307606297122117987160760320355152847338\n",
"2569\n56177594686745803266824815523416346622\n",
"99\n1608914419940428454\n",
"266\n1930754734632739640\n",
"2569\n809047830812802542955131155921739844972251035577351768741391193362372478191570154055382370950340575677026880340898662798612982136706507057869876228698414279877649208408649612748808330118032289942807\n",
"2591\n39736573870923756503382373513965484779223640000\n",
"2569\n10116663615622734590429000235327649978477\n",
"2559\n19929582732058876275953866789324547518680119116717678839185404102942186643708721832184166538045491601352731000758412727290435513754575481501414983891280874381032094412160911411860412611204713430529201\n",
"555\n125610656001956\n",
"100\n26367732229739425460445971632773112729408718006768586492049547578606069214049029836638885313215959887013035165910417558175235721471159274899102631400305219834204687998386050390592489726568787483647097\n"
],
"output": [
"2\n",
"1\n",
"23\n",
"4\n",
"6\n",
"4\n",
"10\n",
"0\n",
"34\n",
"48\n",
"1\n",
"5\n",
"4\n",
"1\n",
"63\n",
"62\n",
"3\n",
"2\n",
"3\n",
"10\n",
"7\n",
"1\n",
"2\n",
"1\n",
"10\n",
"7\n",
"5\n",
"66\n",
"199\n",
"4\n",
"66\n",
"7\n",
"9\n",
"6\n",
"44\n",
"10\n",
"1\n",
"3\n",
"10\n",
"11\n",
"26\n",
"2\n",
"17\n",
"38\n",
"20\n",
"4\n",
"5\n",
"9\n",
"14\n",
"7\n",
"13\n",
"30\n",
"16\n",
"12\n",
"46\n",
"21\n",
"23\n",
"15\n",
"41\n",
"18\n",
"8\n",
"22\n",
"1\n",
"1\n",
"1\n",
"11\n",
"1\n",
"1\n",
"1\n",
"1\n",
"2\n",
"17\n",
"3\n",
"1\n",
"20\n",
"1\n",
"3\n",
"1\n",
"2\n",
"2\n",
"20\n",
"3\n",
"3\n",
"9\n",
"1\n",
"7\n",
"20\n",
"4\n",
"16\n",
"2\n",
"2\n",
"20\n",
"2\n",
"5\n",
"11\n",
"13\n",
"1\n",
"9\n",
"4\n",
"2\n",
"2\n",
"17\n",
"1\n",
"4\n",
"12\n",
"1\n",
"10\n"
]
} | 2CODEFORCES
|
328_B. Sheldon and Ice Pieces_38252 | Do you remember how Kai constructed the word "eternity" using pieces of ice as components?
Little Sheldon plays with pieces of ice, each piece has exactly one digit between 0 and 9. He wants to construct his favourite number t. He realized that digits 6 and 9 are very similar, so he can rotate piece of ice with 6 to use as 9 (and vice versa). Similary, 2 and 5 work the same. There is no other pair of digits with similar effect. He called this effect "Digital Mimicry".
Sheldon favourite number is t. He wants to have as many instances of t as possible. How many instances he can construct using the given sequence of ice pieces. He can use any piece at most once.
Input
The first line contains integer t (1 ≤ t ≤ 10000). The second line contains the sequence of digits on the pieces. The length of line is equal to the number of pieces and between 1 and 200, inclusive. It contains digits between 0 and 9.
Output
Print the required number of instances.
Examples
Input
42
23454
Output
2
Input
169
12118999
Output
1
Note
This problem contains very weak pretests. | #include <bits/stdc++.h>
using namespace std;
int main() {
int n, k;
cin >> n;
k = n;
int a[10] = {0};
int b[10] = {0};
while (k) {
a[k % 10]++;
k = k / 10;
}
string s;
cin >> s;
for (int i = 0; i < s.size(); ++i) {
b[(s[i] - '0') % 10]++;
}
int count, ans = 99999999;
for (int i = 0; i < 10; ++i) {
if (a[i] != 0) {
if (i == 2 || i == 5)
count = (b[2] + b[5]) / (a[2] + a[5]);
else if (i == 6 || i == 9)
count = (b[6] + b[9]) / (a[6] + a[9]);
else
count = b[i] / a[i];
ans = min(ans, count);
}
}
cout << ans << '\n';
return 0;
}
| 2C++
| {
"input": [
"42\n23454\n",
"169\n12118999\n",
"5518\n9827108589585181118358352282425981568508825302611217254345831149357236227288533838583629451589201341265988858338548185158221291825821019993179835186961954871454\n",
"533\n355233333332\n",
"9\n666969\n",
"2559\n5252555622565626\n",
"2569\n9592525295556669222269569596622566529699\n",
"11\n1\n",
"9697\n76694996266995167659667796999669903799299696697971977966766996767667996967697669766777697969669669297966667776967677699767966667666769699790768276666766\n",
"2559\n52555995269265555695922255525995255259555259252562655622526292929555265526255252526255555296956995596262965522222225655655262255226222259622295225295525265995566255556225522559559295225625559595222652\n",
"5\n2\n",
"555\n225225252222255\n",
"33\n33333333\n",
"25\n52\n",
"100\n11111000000000001010110010101100011011110101000000000001100110007111110010100000011000010011000011000010010000111101000010000000801000100111000410010100100000001011000000000101100010110001001100010001\n",
"266\n26266956652996996666662666992669966292555295699956956255562529696222966929669665256625596629565696225696662556996969659952659665522965269529566599526566699292225569566599656596562966965669929996226599\n",
"9697\n979966799976\n",
"18\n8118\n",
"7\n777\n",
"2569\n2569256925692569256925692569256925692569\n",
"6\n9669969\n",
"1\n1\n",
"5518\n22882121\n",
"2591\n5291\n",
"1780\n8170880870810081711018110878070777078711\n",
"22\n25552222222255\n",
"5\n22252\n",
"555\n25225222525252252255252525552255255522522522225252252525225555225552525255255252252225225255225552522252552252252522555255522225555252255555222225252525522252252255522522225252255522525552525225522552\n",
"9\n99669996666966699999666999999666999699966669696969999696666669696967969666969696696696699669696999669669966696699666669996696666996699999696666696996666666969996996696696969666999999996666699966996696\n",
"2\n5255\n",
"22\n35354953025524221524235223225255512262254275553262592555522123522225045753552560550228255220622552552252517202252456715552032250226729355222227262525262552362252277292927052612301558753527582221622055\n",
"52\n222222222222222\n",
"99\n966969969696699969\n",
"266\n565596629695965699\n",
"2569\n09629965966225566262579565696595696954525955599926383255926955906666526913925296256629966292216925259225261263256229509529259756291959568892569599592218262625256926619266669279659295979299556965525222\n",
"2591\n95195222396509125191259289255559161259521226176117\n",
"9\n1178263\n",
"2569\n12687990117657438775903332794212730347567\n",
"9697\n126972072629057708380892077150586442702211079062622768297593630827097408755879669047000363344790409627751632102489460658059082365856765058433321796883434\n",
"2559\n47586110869884297571181627810326188098267146037437994407647985995641052619326459527860368682268999054656294528136045716076587499539162106236898410199122194714268150137703293440784412716256983740127401\n",
"266\n33078609529900981760806663496065705573537646989453663576760358103283660581437036731534240930507539795698970669471687852051836909461663584282848874393996875823647997166687422813409128500544828043896898\n",
"1780\n1943608316423166319989074672999617645627\n",
"555\n26116679321621886824225122316132204276055583923033131705570376492493124462565943546202097037799509292338340532492323959449103366043457102359559674982979069857300578460734259940492532955543486054737505\n",
"9\n158688233798092460703535125410853542871810354045136991820211402212580627457582182580676981602929173714976711430400026565923483963770124037786590287560731905903867456067909100166900536197831119800810139\n",
"22\n34976017947206371815775023229448382718181798943559886241613101952824542410662326283086225707573595164417068469606887398689158155107574624046095059568907593880969963022214754432833047930406077155608610\n",
"99\n667764860664399730\n",
"2569\n22260214657964421826321347467902804799829\n",
"9697\n247413139714774869116810249639616212175638729704813549093523689360958801747422633912055720318725487858436408507797037967471004106743888137624176513338600\n",
"2559\n94119935392617103050285912498380272459376573672999325734793242170027028840948875496473208999441341790962313785611542206222397355863581540092066757222793769942122846647660934138761290583990188854841009\n",
"100\n37733549349126025727821227839900385006476032813696108316948761119397979111203493210570333334735946613365664785885029198270498566479571226733995954920599928857461753588507814971253815472804331564393494\n",
"555\n9649494242966005701063126970126036467670242151045444987652434056160373299303771384051965786320871923368930269460224254278969901288349978135596762962075535790066431370231107755237027589107834348854058\n",
"9\n143287287099411514941567198878779210274203095846103518420710076606730587422114269061470031477912984526415183331565530814031268539448423481991241736455384984349367588434520037245927542056958451318349237\n",
"22\n7057027738611223497118880229082224245277193083249154115971198752733146806146713110707102350698830100819124913803606810033230991242755393689637199563206798778888431840460319927695454133558294437767790\n",
"2559\n27451748028827002824527350033566573764525264144653313875689870376473093473726912794999998034743118014394520024438085225175988326504841356016178844795695402690543199213493523961431987034294074613198039\n",
"9\n105117322917603332719876764078347680190661101095029308205585563645909525149454753787229638368128993506850948431386367806226621632958281248832910268525369055851986901113625051509519192863816000026976400\n",
"22\n2256095964918082754782808885949050608951711724476270154824672696341270387418433790338325889690420387829672313645612147418105380904054522467635301465889261585227563089985954917894148938495059999421935\n",
"266\n30025007243647050225764458686858354661283246567225509752261111699041868771868081213653969869249825308736032340695194971954308527015682596296663634759616597814926717624844673825583027817111684294907403\n",
"555\n17001180100283959638851109492216927026457332397368952105718593515880823214582024157633315080945251303057106313753963615551462997570345800561287433098800745392712002454490436896409084604945575236209424\n",
"9\n93517522835973416023478148119027841968283443921373754072940142266392240509172234215901983698371530797202993995411786088350221069734993133966834762461597982133951661304205585829761967061775872753750720\n",
"22\n3958429471478430203587105749705398909513801482260856716310824465496156135435384879740032621803826752009303041050941980922699572170003783989558804866583171467039092420377616357104313028301628154509375\n",
"9697\n948006532706505316467811625520457266460863733957063621861114036775046687252027714345852068911730337522361863222178640459410142107474109921448030873402767\n",
"266\n34832616781632517042690485424471570246064157764459539358284485155981163836773029941189368175532477684009524191729583166839671514607567374096399379017566905727467793578092544385866745792519077531063459\n",
"2559\n4149523190371965\n",
"555\n186877331227356\n",
"33\n31744823\n",
"100\n19673053386549103186424939846568403930976116396229344851170078661846053921022524093640765056619960669129090332556641872373816457296432361743236341057248039747183021359953617850800893926013867246094357\n",
"7\n769\n",
"2569\n813449578351217387329427215789180120828\n",
"6\n11601471\n",
"52\n274605947877978\n",
"266\n1097954168113261071\n",
"2569\n4750742951628955517803990592584845318248130141734342365903452277985034983294858240213621295210870412745597143149488923403701787079691815361196138269899320924183396391997422632247174848441160643043384\n",
"2591\n161523230274458492695824859901482848294309607823643\n",
"555\n305895097942266\n",
"266\n18481938613945544307623852243973719712551622624582898560718475000698244154411186368475300479960247371502772614839190284946594855353675889751151288648022169487229216579842137575282765651627366687439994\n",
"7\n878\n",
"2569\n1067600690286262853981364329703830514593\n",
"52\n371476509783622\n",
"99\n556997207023072934\n",
"266\n1662600278409124562\n",
"2569\n2416151626462923093531839114691039408440860342521471792807993457247056040244670225116790005941397366383677562574420993306548049214191444322755766893692116120495928518598213080035152807249618127706847\n",
"2591\n7011719356990851756081497633620817703758179571369\n",
"2569\n19704272278315158220329258732594469611045\n",
"9697\n484991028961821055656024564110911422590957008096700674343204686263681185104322823301858372246787707207202874352243565952549629176166053375241280518724162\n",
"555\n372502796203578\n",
"100\n18327191800779544561854546996812601764886503886219342235714597696296170672241686628981845161136686014097112115953799165576648544047492033749190020171962479642280459351489729156194953503361257214910299\n",
"266\n17379069325322549087615738691300377745367538847554147360977384212319546006103206758063253735617492116309589360163879888901867387660812205078433589509346631570063740450067676810855878939039532390949214\n",
"2569\n1075759078832178993597823899179655800102\n",
"555\n8554217035112627926773496974032355057552875531802619880278708280280086574325084412680871423512446303228145507989901011771213370920220307969930334768415468576820528495281414708147992229368775050969423\n",
"99\n892653766004310406\n",
"266\n2383786323909673311\n",
"2569\n1711184056492879129935672561157729620729718765248182190327186766476115695244633663206294866237154163141364100660203338539436786216107275505105098825324630016863304828151937157052896652624247347964749\n",
"2591\n201846284115134330742335888783907885353814777508\n",
"2569\n8120683179672563401528366258473652935664\n",
"9697\n665944826673784175923222754867545275212350997889924256667703391060493977725164943553891539933644078310874816186071369786112779869600881851751832768144900\n",
"2559\n31508987523936867798413132700552802675051155133800499597415232268298217113360759698738604155174800719638747756848961331125698996603065378573778868126454676249283218675391306859758622997550194097995283\n",
"555\n563460514965477\n",
"100\n18373776256712967920744434880633665580054812643356496072936047524778113821777954843770928711160520592166826127157380437624750789317571533746226884877110863202696307606297122117987160760320355152847338\n",
"2569\n56177594686745803266824815523416346622\n",
"99\n1608914419940428454\n",
"266\n1930754734632739640\n",
"2569\n809047830812802542955131155921739844972251035577351768741391193362372478191570154055382370950340575677026880340898662798612982136706507057869876228698414279877649208408649612748808330118032289942807\n",
"2591\n39736573870923756503382373513965484779223640000\n",
"2569\n10116663615622734590429000235327649978477\n",
"2559\n19929582732058876275953866789324547518680119116717678839185404102942186643708721832184166538045491601352731000758412727290435513754575481501414983891280874381032094412160911411860412611204713430529201\n",
"555\n125610656001956\n",
"100\n26367732229739425460445971632773112729408718006768586492049547578606069214049029836638885313215959887013035165910417558175235721471159274899102631400305219834204687998386050390592489726568787483647097\n"
],
"output": [
"2\n",
"1\n",
"23\n",
"4\n",
"6\n",
"4\n",
"10\n",
"0\n",
"34\n",
"48\n",
"1\n",
"5\n",
"4\n",
"1\n",
"63\n",
"62\n",
"3\n",
"2\n",
"3\n",
"10\n",
"7\n",
"1\n",
"2\n",
"1\n",
"10\n",
"7\n",
"5\n",
"66\n",
"199\n",
"4\n",
"66\n",
"7\n",
"9\n",
"6\n",
"44\n",
"10\n",
"1\n",
"3\n",
"10\n",
"11\n",
"26\n",
"2\n",
"17\n",
"38\n",
"20\n",
"4\n",
"5\n",
"9\n",
"14\n",
"7\n",
"13\n",
"30\n",
"16\n",
"12\n",
"46\n",
"21\n",
"23\n",
"15\n",
"41\n",
"18\n",
"8\n",
"22\n",
"1\n",
"1\n",
"1\n",
"11\n",
"1\n",
"1\n",
"1\n",
"1\n",
"2\n",
"17\n",
"3\n",
"1\n",
"20\n",
"1\n",
"3\n",
"1\n",
"2\n",
"2\n",
"20\n",
"3\n",
"3\n",
"9\n",
"1\n",
"7\n",
"20\n",
"4\n",
"16\n",
"2\n",
"2\n",
"20\n",
"2\n",
"5\n",
"11\n",
"13\n",
"1\n",
"9\n",
"4\n",
"2\n",
"2\n",
"17\n",
"1\n",
"4\n",
"12\n",
"1\n",
"10\n"
]
} | 2CODEFORCES
|
328_B. Sheldon and Ice Pieces_38253 | Do you remember how Kai constructed the word "eternity" using pieces of ice as components?
Little Sheldon plays with pieces of ice, each piece has exactly one digit between 0 and 9. He wants to construct his favourite number t. He realized that digits 6 and 9 are very similar, so he can rotate piece of ice with 6 to use as 9 (and vice versa). Similary, 2 and 5 work the same. There is no other pair of digits with similar effect. He called this effect "Digital Mimicry".
Sheldon favourite number is t. He wants to have as many instances of t as possible. How many instances he can construct using the given sequence of ice pieces. He can use any piece at most once.
Input
The first line contains integer t (1 ≤ t ≤ 10000). The second line contains the sequence of digits on the pieces. The length of line is equal to the number of pieces and between 1 and 200, inclusive. It contains digits between 0 and 9.
Output
Print the required number of instances.
Examples
Input
42
23454
Output
2
Input
169
12118999
Output
1
Note
This problem contains very weak pretests. | def c(a, b):
a = a.replace('6', '9')
a = a.replace('2', '5')
b = b.replace('6', '9')
b = b.replace('2', '5')
n = 10000
for i in '01345789':
t = a.count(i)
if t != 0:
n = min(n, b.count(i)//t)
return n
a = input()
b = input()
print(c(a, b)) | 3Python3
| {
"input": [
"42\n23454\n",
"169\n12118999\n",
"5518\n9827108589585181118358352282425981568508825302611217254345831149357236227288533838583629451589201341265988858338548185158221291825821019993179835186961954871454\n",
"533\n355233333332\n",
"9\n666969\n",
"2559\n5252555622565626\n",
"2569\n9592525295556669222269569596622566529699\n",
"11\n1\n",
"9697\n76694996266995167659667796999669903799299696697971977966766996767667996967697669766777697969669669297966667776967677699767966667666769699790768276666766\n",
"2559\n52555995269265555695922255525995255259555259252562655622526292929555265526255252526255555296956995596262965522222225655655262255226222259622295225295525265995566255556225522559559295225625559595222652\n",
"5\n2\n",
"555\n225225252222255\n",
"33\n33333333\n",
"25\n52\n",
"100\n11111000000000001010110010101100011011110101000000000001100110007111110010100000011000010011000011000010010000111101000010000000801000100111000410010100100000001011000000000101100010110001001100010001\n",
"266\n26266956652996996666662666992669966292555295699956956255562529696222966929669665256625596629565696225696662556996969659952659665522965269529566599526566699292225569566599656596562966965669929996226599\n",
"9697\n979966799976\n",
"18\n8118\n",
"7\n777\n",
"2569\n2569256925692569256925692569256925692569\n",
"6\n9669969\n",
"1\n1\n",
"5518\n22882121\n",
"2591\n5291\n",
"1780\n8170880870810081711018110878070777078711\n",
"22\n25552222222255\n",
"5\n22252\n",
"555\n25225222525252252255252525552255255522522522225252252525225555225552525255255252252225225255225552522252552252252522555255522225555252255555222225252525522252252255522522225252255522525552525225522552\n",
"9\n99669996666966699999666999999666999699966669696969999696666669696967969666969696696696699669696999669669966696699666669996696666996699999696666696996666666969996996696696969666999999996666699966996696\n",
"2\n5255\n",
"22\n35354953025524221524235223225255512262254275553262592555522123522225045753552560550228255220622552552252517202252456715552032250226729355222227262525262552362252277292927052612301558753527582221622055\n",
"52\n222222222222222\n",
"99\n966969969696699969\n",
"266\n565596629695965699\n",
"2569\n09629965966225566262579565696595696954525955599926383255926955906666526913925296256629966292216925259225261263256229509529259756291959568892569599592218262625256926619266669279659295979299556965525222\n",
"2591\n95195222396509125191259289255559161259521226176117\n",
"9\n1178263\n",
"2569\n12687990117657438775903332794212730347567\n",
"9697\n126972072629057708380892077150586442702211079062622768297593630827097408755879669047000363344790409627751632102489460658059082365856765058433321796883434\n",
"2559\n47586110869884297571181627810326188098267146037437994407647985995641052619326459527860368682268999054656294528136045716076587499539162106236898410199122194714268150137703293440784412716256983740127401\n",
"266\n33078609529900981760806663496065705573537646989453663576760358103283660581437036731534240930507539795698970669471687852051836909461663584282848874393996875823647997166687422813409128500544828043896898\n",
"1780\n1943608316423166319989074672999617645627\n",
"555\n26116679321621886824225122316132204276055583923033131705570376492493124462565943546202097037799509292338340532492323959449103366043457102359559674982979069857300578460734259940492532955543486054737505\n",
"9\n158688233798092460703535125410853542871810354045136991820211402212580627457582182580676981602929173714976711430400026565923483963770124037786590287560731905903867456067909100166900536197831119800810139\n",
"22\n34976017947206371815775023229448382718181798943559886241613101952824542410662326283086225707573595164417068469606887398689158155107574624046095059568907593880969963022214754432833047930406077155608610\n",
"99\n667764860664399730\n",
"2569\n22260214657964421826321347467902804799829\n",
"9697\n247413139714774869116810249639616212175638729704813549093523689360958801747422633912055720318725487858436408507797037967471004106743888137624176513338600\n",
"2559\n94119935392617103050285912498380272459376573672999325734793242170027028840948875496473208999441341790962313785611542206222397355863581540092066757222793769942122846647660934138761290583990188854841009\n",
"100\n37733549349126025727821227839900385006476032813696108316948761119397979111203493210570333334735946613365664785885029198270498566479571226733995954920599928857461753588507814971253815472804331564393494\n",
"555\n9649494242966005701063126970126036467670242151045444987652434056160373299303771384051965786320871923368930269460224254278969901288349978135596762962075535790066431370231107755237027589107834348854058\n",
"9\n143287287099411514941567198878779210274203095846103518420710076606730587422114269061470031477912984526415183331565530814031268539448423481991241736455384984349367588434520037245927542056958451318349237\n",
"22\n7057027738611223497118880229082224245277193083249154115971198752733146806146713110707102350698830100819124913803606810033230991242755393689637199563206798778888431840460319927695454133558294437767790\n",
"2559\n27451748028827002824527350033566573764525264144653313875689870376473093473726912794999998034743118014394520024438085225175988326504841356016178844795695402690543199213493523961431987034294074613198039\n",
"9\n105117322917603332719876764078347680190661101095029308205585563645909525149454753787229638368128993506850948431386367806226621632958281248832910268525369055851986901113625051509519192863816000026976400\n",
"22\n2256095964918082754782808885949050608951711724476270154824672696341270387418433790338325889690420387829672313645612147418105380904054522467635301465889261585227563089985954917894148938495059999421935\n",
"266\n30025007243647050225764458686858354661283246567225509752261111699041868771868081213653969869249825308736032340695194971954308527015682596296663634759616597814926717624844673825583027817111684294907403\n",
"555\n17001180100283959638851109492216927026457332397368952105718593515880823214582024157633315080945251303057106313753963615551462997570345800561287433098800745392712002454490436896409084604945575236209424\n",
"9\n93517522835973416023478148119027841968283443921373754072940142266392240509172234215901983698371530797202993995411786088350221069734993133966834762461597982133951661304205585829761967061775872753750720\n",
"22\n3958429471478430203587105749705398909513801482260856716310824465496156135435384879740032621803826752009303041050941980922699572170003783989558804866583171467039092420377616357104313028301628154509375\n",
"9697\n948006532706505316467811625520457266460863733957063621861114036775046687252027714345852068911730337522361863222178640459410142107474109921448030873402767\n",
"266\n34832616781632517042690485424471570246064157764459539358284485155981163836773029941189368175532477684009524191729583166839671514607567374096399379017566905727467793578092544385866745792519077531063459\n",
"2559\n4149523190371965\n",
"555\n186877331227356\n",
"33\n31744823\n",
"100\n19673053386549103186424939846568403930976116396229344851170078661846053921022524093640765056619960669129090332556641872373816457296432361743236341057248039747183021359953617850800893926013867246094357\n",
"7\n769\n",
"2569\n813449578351217387329427215789180120828\n",
"6\n11601471\n",
"52\n274605947877978\n",
"266\n1097954168113261071\n",
"2569\n4750742951628955517803990592584845318248130141734342365903452277985034983294858240213621295210870412745597143149488923403701787079691815361196138269899320924183396391997422632247174848441160643043384\n",
"2591\n161523230274458492695824859901482848294309607823643\n",
"555\n305895097942266\n",
"266\n18481938613945544307623852243973719712551622624582898560718475000698244154411186368475300479960247371502772614839190284946594855353675889751151288648022169487229216579842137575282765651627366687439994\n",
"7\n878\n",
"2569\n1067600690286262853981364329703830514593\n",
"52\n371476509783622\n",
"99\n556997207023072934\n",
"266\n1662600278409124562\n",
"2569\n2416151626462923093531839114691039408440860342521471792807993457247056040244670225116790005941397366383677562574420993306548049214191444322755766893692116120495928518598213080035152807249618127706847\n",
"2591\n7011719356990851756081497633620817703758179571369\n",
"2569\n19704272278315158220329258732594469611045\n",
"9697\n484991028961821055656024564110911422590957008096700674343204686263681185104322823301858372246787707207202874352243565952549629176166053375241280518724162\n",
"555\n372502796203578\n",
"100\n18327191800779544561854546996812601764886503886219342235714597696296170672241686628981845161136686014097112115953799165576648544047492033749190020171962479642280459351489729156194953503361257214910299\n",
"266\n17379069325322549087615738691300377745367538847554147360977384212319546006103206758063253735617492116309589360163879888901867387660812205078433589509346631570063740450067676810855878939039532390949214\n",
"2569\n1075759078832178993597823899179655800102\n",
"555\n8554217035112627926773496974032355057552875531802619880278708280280086574325084412680871423512446303228145507989901011771213370920220307969930334768415468576820528495281414708147992229368775050969423\n",
"99\n892653766004310406\n",
"266\n2383786323909673311\n",
"2569\n1711184056492879129935672561157729620729718765248182190327186766476115695244633663206294866237154163141364100660203338539436786216107275505105098825324630016863304828151937157052896652624247347964749\n",
"2591\n201846284115134330742335888783907885353814777508\n",
"2569\n8120683179672563401528366258473652935664\n",
"9697\n665944826673784175923222754867545275212350997889924256667703391060493977725164943553891539933644078310874816186071369786112779869600881851751832768144900\n",
"2559\n31508987523936867798413132700552802675051155133800499597415232268298217113360759698738604155174800719638747756848961331125698996603065378573778868126454676249283218675391306859758622997550194097995283\n",
"555\n563460514965477\n",
"100\n18373776256712967920744434880633665580054812643356496072936047524778113821777954843770928711160520592166826127157380437624750789317571533746226884877110863202696307606297122117987160760320355152847338\n",
"2569\n56177594686745803266824815523416346622\n",
"99\n1608914419940428454\n",
"266\n1930754734632739640\n",
"2569\n809047830812802542955131155921739844972251035577351768741391193362372478191570154055382370950340575677026880340898662798612982136706507057869876228698414279877649208408649612748808330118032289942807\n",
"2591\n39736573870923756503382373513965484779223640000\n",
"2569\n10116663615622734590429000235327649978477\n",
"2559\n19929582732058876275953866789324547518680119116717678839185404102942186643708721832184166538045491601352731000758412727290435513754575481501414983891280874381032094412160911411860412611204713430529201\n",
"555\n125610656001956\n",
"100\n26367732229739425460445971632773112729408718006768586492049547578606069214049029836638885313215959887013035165910417558175235721471159274899102631400305219834204687998386050390592489726568787483647097\n"
],
"output": [
"2\n",
"1\n",
"23\n",
"4\n",
"6\n",
"4\n",
"10\n",
"0\n",
"34\n",
"48\n",
"1\n",
"5\n",
"4\n",
"1\n",
"63\n",
"62\n",
"3\n",
"2\n",
"3\n",
"10\n",
"7\n",
"1\n",
"2\n",
"1\n",
"10\n",
"7\n",
"5\n",
"66\n",
"199\n",
"4\n",
"66\n",
"7\n",
"9\n",
"6\n",
"44\n",
"10\n",
"1\n",
"3\n",
"10\n",
"11\n",
"26\n",
"2\n",
"17\n",
"38\n",
"20\n",
"4\n",
"5\n",
"9\n",
"14\n",
"7\n",
"13\n",
"30\n",
"16\n",
"12\n",
"46\n",
"21\n",
"23\n",
"15\n",
"41\n",
"18\n",
"8\n",
"22\n",
"1\n",
"1\n",
"1\n",
"11\n",
"1\n",
"1\n",
"1\n",
"1\n",
"2\n",
"17\n",
"3\n",
"1\n",
"20\n",
"1\n",
"3\n",
"1\n",
"2\n",
"2\n",
"20\n",
"3\n",
"3\n",
"9\n",
"1\n",
"7\n",
"20\n",
"4\n",
"16\n",
"2\n",
"2\n",
"20\n",
"2\n",
"5\n",
"11\n",
"13\n",
"1\n",
"9\n",
"4\n",
"2\n",
"2\n",
"17\n",
"1\n",
"4\n",
"12\n",
"1\n",
"10\n"
]
} | 2CODEFORCES
|
328_B. Sheldon and Ice Pieces_38254 | Do you remember how Kai constructed the word "eternity" using pieces of ice as components?
Little Sheldon plays with pieces of ice, each piece has exactly one digit between 0 and 9. He wants to construct his favourite number t. He realized that digits 6 and 9 are very similar, so he can rotate piece of ice with 6 to use as 9 (and vice versa). Similary, 2 and 5 work the same. There is no other pair of digits with similar effect. He called this effect "Digital Mimicry".
Sheldon favourite number is t. He wants to have as many instances of t as possible. How many instances he can construct using the given sequence of ice pieces. He can use any piece at most once.
Input
The first line contains integer t (1 ≤ t ≤ 10000). The second line contains the sequence of digits on the pieces. The length of line is equal to the number of pieces and between 1 and 200, inclusive. It contains digits between 0 and 9.
Output
Print the required number of instances.
Examples
Input
42
23454
Output
2
Input
169
12118999
Output
1
Note
This problem contains very weak pretests. | import java.util.Scanner;
public class IcePEace {
public static int searchstring(String s,String S){
if (s.length()>S.length())
return -1;
for(int i=0;i<=(S.length()-s.length());i++){
if (s.equals(S.substring(i,i+s.length())))
return i;
}
return -1;
}
public static String removestring(String s, int i){
if (i == (s.length()-1)){
s=s.substring(0, i);
return s;
}
if (i==0){
s=s.substring(1,s.length());
return s;
}
if (i>=s.length()){
return s;
}
s=s.substring(0,i)+s.substring(i+1, s.length());
return s;
}
public static void main(String[] args){
Scanner sc = new Scanner(System.in);
String t = sc.nextLine();
String ice = sc.nextLine();
int Boole = 0;
int possibilities = 0;
int i = 0;
int j = 0;
String na = "";
while (ice.length()>0){
//System.out.println("start of outer loop");
if (ice.length()<t.length())
break;
j=0;
while ((Boole>-1)&&(j<t.length())&&(ice.length()>0)){
//System.out.println("Start of inner loop");
na = t.substring(j,j+1);
if ((na.equals("2")) || (na.equals("5"))){
Boole = searchstring("2",ice);
//System.out.println("searching for 2");
if (Boole == -1){
//System.out.println("searching for 5");
Boole = searchstring("5",ice);
}
if (Boole != -1){
ice=removestring(ice,Boole);
}
}
else if (na.equals("6")||na.equals("9")){
Boole = searchstring("6",ice);
if (Boole == -1){
Boole = searchstring("9",ice);
}
if (Boole != -1){
ice=removestring(ice,Boole);
}
}
else {
//System.out.println("search the char");
Boole = searchstring(na,ice);
if (Boole != -1){
//System.out.println(ice + " before edit");
ice=removestring(ice,Boole);
//System.out.println( ice+ " after edit");
}
}
++j;
}
if (Boole != -1){
++possibilities;
}
else
break;
//System.out.println("end of outer loop , ice = " + ice);
}
System.out.println(possibilities);
}
} | 4JAVA
| {
"input": [
"42\n23454\n",
"169\n12118999\n",
"5518\n9827108589585181118358352282425981568508825302611217254345831149357236227288533838583629451589201341265988858338548185158221291825821019993179835186961954871454\n",
"533\n355233333332\n",
"9\n666969\n",
"2559\n5252555622565626\n",
"2569\n9592525295556669222269569596622566529699\n",
"11\n1\n",
"9697\n76694996266995167659667796999669903799299696697971977966766996767667996967697669766777697969669669297966667776967677699767966667666769699790768276666766\n",
"2559\n52555995269265555695922255525995255259555259252562655622526292929555265526255252526255555296956995596262965522222225655655262255226222259622295225295525265995566255556225522559559295225625559595222652\n",
"5\n2\n",
"555\n225225252222255\n",
"33\n33333333\n",
"25\n52\n",
"100\n11111000000000001010110010101100011011110101000000000001100110007111110010100000011000010011000011000010010000111101000010000000801000100111000410010100100000001011000000000101100010110001001100010001\n",
"266\n26266956652996996666662666992669966292555295699956956255562529696222966929669665256625596629565696225696662556996969659952659665522965269529566599526566699292225569566599656596562966965669929996226599\n",
"9697\n979966799976\n",
"18\n8118\n",
"7\n777\n",
"2569\n2569256925692569256925692569256925692569\n",
"6\n9669969\n",
"1\n1\n",
"5518\n22882121\n",
"2591\n5291\n",
"1780\n8170880870810081711018110878070777078711\n",
"22\n25552222222255\n",
"5\n22252\n",
"555\n25225222525252252255252525552255255522522522225252252525225555225552525255255252252225225255225552522252552252252522555255522225555252255555222225252525522252252255522522225252255522525552525225522552\n",
"9\n99669996666966699999666999999666999699966669696969999696666669696967969666969696696696699669696999669669966696699666669996696666996699999696666696996666666969996996696696969666999999996666699966996696\n",
"2\n5255\n",
"22\n35354953025524221524235223225255512262254275553262592555522123522225045753552560550228255220622552552252517202252456715552032250226729355222227262525262552362252277292927052612301558753527582221622055\n",
"52\n222222222222222\n",
"99\n966969969696699969\n",
"266\n565596629695965699\n",
"2569\n09629965966225566262579565696595696954525955599926383255926955906666526913925296256629966292216925259225261263256229509529259756291959568892569599592218262625256926619266669279659295979299556965525222\n",
"2591\n95195222396509125191259289255559161259521226176117\n",
"9\n1178263\n",
"2569\n12687990117657438775903332794212730347567\n",
"9697\n126972072629057708380892077150586442702211079062622768297593630827097408755879669047000363344790409627751632102489460658059082365856765058433321796883434\n",
"2559\n47586110869884297571181627810326188098267146037437994407647985995641052619326459527860368682268999054656294528136045716076587499539162106236898410199122194714268150137703293440784412716256983740127401\n",
"266\n33078609529900981760806663496065705573537646989453663576760358103283660581437036731534240930507539795698970669471687852051836909461663584282848874393996875823647997166687422813409128500544828043896898\n",
"1780\n1943608316423166319989074672999617645627\n",
"555\n26116679321621886824225122316132204276055583923033131705570376492493124462565943546202097037799509292338340532492323959449103366043457102359559674982979069857300578460734259940492532955543486054737505\n",
"9\n158688233798092460703535125410853542871810354045136991820211402212580627457582182580676981602929173714976711430400026565923483963770124037786590287560731905903867456067909100166900536197831119800810139\n",
"22\n34976017947206371815775023229448382718181798943559886241613101952824542410662326283086225707573595164417068469606887398689158155107574624046095059568907593880969963022214754432833047930406077155608610\n",
"99\n667764860664399730\n",
"2569\n22260214657964421826321347467902804799829\n",
"9697\n247413139714774869116810249639616212175638729704813549093523689360958801747422633912055720318725487858436408507797037967471004106743888137624176513338600\n",
"2559\n94119935392617103050285912498380272459376573672999325734793242170027028840948875496473208999441341790962313785611542206222397355863581540092066757222793769942122846647660934138761290583990188854841009\n",
"100\n37733549349126025727821227839900385006476032813696108316948761119397979111203493210570333334735946613365664785885029198270498566479571226733995954920599928857461753588507814971253815472804331564393494\n",
"555\n9649494242966005701063126970126036467670242151045444987652434056160373299303771384051965786320871923368930269460224254278969901288349978135596762962075535790066431370231107755237027589107834348854058\n",
"9\n143287287099411514941567198878779210274203095846103518420710076606730587422114269061470031477912984526415183331565530814031268539448423481991241736455384984349367588434520037245927542056958451318349237\n",
"22\n7057027738611223497118880229082224245277193083249154115971198752733146806146713110707102350698830100819124913803606810033230991242755393689637199563206798778888431840460319927695454133558294437767790\n",
"2559\n27451748028827002824527350033566573764525264144653313875689870376473093473726912794999998034743118014394520024438085225175988326504841356016178844795695402690543199213493523961431987034294074613198039\n",
"9\n105117322917603332719876764078347680190661101095029308205585563645909525149454753787229638368128993506850948431386367806226621632958281248832910268525369055851986901113625051509519192863816000026976400\n",
"22\n2256095964918082754782808885949050608951711724476270154824672696341270387418433790338325889690420387829672313645612147418105380904054522467635301465889261585227563089985954917894148938495059999421935\n",
"266\n30025007243647050225764458686858354661283246567225509752261111699041868771868081213653969869249825308736032340695194971954308527015682596296663634759616597814926717624844673825583027817111684294907403\n",
"555\n17001180100283959638851109492216927026457332397368952105718593515880823214582024157633315080945251303057106313753963615551462997570345800561287433098800745392712002454490436896409084604945575236209424\n",
"9\n93517522835973416023478148119027841968283443921373754072940142266392240509172234215901983698371530797202993995411786088350221069734993133966834762461597982133951661304205585829761967061775872753750720\n",
"22\n3958429471478430203587105749705398909513801482260856716310824465496156135435384879740032621803826752009303041050941980922699572170003783989558804866583171467039092420377616357104313028301628154509375\n",
"9697\n948006532706505316467811625520457266460863733957063621861114036775046687252027714345852068911730337522361863222178640459410142107474109921448030873402767\n",
"266\n34832616781632517042690485424471570246064157764459539358284485155981163836773029941189368175532477684009524191729583166839671514607567374096399379017566905727467793578092544385866745792519077531063459\n",
"2559\n4149523190371965\n",
"555\n186877331227356\n",
"33\n31744823\n",
"100\n19673053386549103186424939846568403930976116396229344851170078661846053921022524093640765056619960669129090332556641872373816457296432361743236341057248039747183021359953617850800893926013867246094357\n",
"7\n769\n",
"2569\n813449578351217387329427215789180120828\n",
"6\n11601471\n",
"52\n274605947877978\n",
"266\n1097954168113261071\n",
"2569\n4750742951628955517803990592584845318248130141734342365903452277985034983294858240213621295210870412745597143149488923403701787079691815361196138269899320924183396391997422632247174848441160643043384\n",
"2591\n161523230274458492695824859901482848294309607823643\n",
"555\n305895097942266\n",
"266\n18481938613945544307623852243973719712551622624582898560718475000698244154411186368475300479960247371502772614839190284946594855353675889751151288648022169487229216579842137575282765651627366687439994\n",
"7\n878\n",
"2569\n1067600690286262853981364329703830514593\n",
"52\n371476509783622\n",
"99\n556997207023072934\n",
"266\n1662600278409124562\n",
"2569\n2416151626462923093531839114691039408440860342521471792807993457247056040244670225116790005941397366383677562574420993306548049214191444322755766893692116120495928518598213080035152807249618127706847\n",
"2591\n7011719356990851756081497633620817703758179571369\n",
"2569\n19704272278315158220329258732594469611045\n",
"9697\n484991028961821055656024564110911422590957008096700674343204686263681185104322823301858372246787707207202874352243565952549629176166053375241280518724162\n",
"555\n372502796203578\n",
"100\n18327191800779544561854546996812601764886503886219342235714597696296170672241686628981845161136686014097112115953799165576648544047492033749190020171962479642280459351489729156194953503361257214910299\n",
"266\n17379069325322549087615738691300377745367538847554147360977384212319546006103206758063253735617492116309589360163879888901867387660812205078433589509346631570063740450067676810855878939039532390949214\n",
"2569\n1075759078832178993597823899179655800102\n",
"555\n8554217035112627926773496974032355057552875531802619880278708280280086574325084412680871423512446303228145507989901011771213370920220307969930334768415468576820528495281414708147992229368775050969423\n",
"99\n892653766004310406\n",
"266\n2383786323909673311\n",
"2569\n1711184056492879129935672561157729620729718765248182190327186766476115695244633663206294866237154163141364100660203338539436786216107275505105098825324630016863304828151937157052896652624247347964749\n",
"2591\n201846284115134330742335888783907885353814777508\n",
"2569\n8120683179672563401528366258473652935664\n",
"9697\n665944826673784175923222754867545275212350997889924256667703391060493977725164943553891539933644078310874816186071369786112779869600881851751832768144900\n",
"2559\n31508987523936867798413132700552802675051155133800499597415232268298217113360759698738604155174800719638747756848961331125698996603065378573778868126454676249283218675391306859758622997550194097995283\n",
"555\n563460514965477\n",
"100\n18373776256712967920744434880633665580054812643356496072936047524778113821777954843770928711160520592166826127157380437624750789317571533746226884877110863202696307606297122117987160760320355152847338\n",
"2569\n56177594686745803266824815523416346622\n",
"99\n1608914419940428454\n",
"266\n1930754734632739640\n",
"2569\n809047830812802542955131155921739844972251035577351768741391193362372478191570154055382370950340575677026880340898662798612982136706507057869876228698414279877649208408649612748808330118032289942807\n",
"2591\n39736573870923756503382373513965484779223640000\n",
"2569\n10116663615622734590429000235327649978477\n",
"2559\n19929582732058876275953866789324547518680119116717678839185404102942186643708721832184166538045491601352731000758412727290435513754575481501414983891280874381032094412160911411860412611204713430529201\n",
"555\n125610656001956\n",
"100\n26367732229739425460445971632773112729408718006768586492049547578606069214049029836638885313215959887013035165910417558175235721471159274899102631400305219834204687998386050390592489726568787483647097\n"
],
"output": [
"2\n",
"1\n",
"23\n",
"4\n",
"6\n",
"4\n",
"10\n",
"0\n",
"34\n",
"48\n",
"1\n",
"5\n",
"4\n",
"1\n",
"63\n",
"62\n",
"3\n",
"2\n",
"3\n",
"10\n",
"7\n",
"1\n",
"2\n",
"1\n",
"10\n",
"7\n",
"5\n",
"66\n",
"199\n",
"4\n",
"66\n",
"7\n",
"9\n",
"6\n",
"44\n",
"10\n",
"1\n",
"3\n",
"10\n",
"11\n",
"26\n",
"2\n",
"17\n",
"38\n",
"20\n",
"4\n",
"5\n",
"9\n",
"14\n",
"7\n",
"13\n",
"30\n",
"16\n",
"12\n",
"46\n",
"21\n",
"23\n",
"15\n",
"41\n",
"18\n",
"8\n",
"22\n",
"1\n",
"1\n",
"1\n",
"11\n",
"1\n",
"1\n",
"1\n",
"1\n",
"2\n",
"17\n",
"3\n",
"1\n",
"20\n",
"1\n",
"3\n",
"1\n",
"2\n",
"2\n",
"20\n",
"3\n",
"3\n",
"9\n",
"1\n",
"7\n",
"20\n",
"4\n",
"16\n",
"2\n",
"2\n",
"20\n",
"2\n",
"5\n",
"11\n",
"13\n",
"1\n",
"9\n",
"4\n",
"2\n",
"2\n",
"17\n",
"1\n",
"4\n",
"12\n",
"1\n",
"10\n"
]
} | 2CODEFORCES
|
34_C. Page Numbers_38255 | «Bersoft» company is working on a new version of its most popular text editor — Bord 2010. Bord, like many other text editors, should be able to print out multipage documents. A user keys a sequence of the document page numbers that he wants to print out (separates them with a comma, without spaces).
Your task is to write a part of the program, responsible for «standardization» of this sequence. Your program gets the sequence, keyed by the user, as input. The program should output this sequence in format l1-r1,l2-r2,...,lk-rk, where ri + 1 < li + 1 for all i from 1 to k - 1, and li ≤ ri. The new sequence should contain all the page numbers, keyed by the user, and nothing else. If some page number appears in the input sequence several times, its appearances, starting from the second one, should be ignored. If for some element i from the new sequence li = ri, this element should be output as li, and not as «li - li».
For example, sequence 1,2,3,1,1,2,6,6,2 should be output as 1-3,6.
Input
The only line contains the sequence, keyed by the user. The sequence contains at least one and at most 100 positive integer numbers. It's guaranteed, that this sequence consists of positive integer numbers, not exceeding 1000, separated with a comma, doesn't contain any other characters, apart from digits and commas, can't end with a comma, and the numbers don't contain leading zeroes. Also it doesn't start with a comma or contain more than one comma in a row.
Output
Output the sequence in the required format.
Examples
Input
1,2,3,1,1,2,6,6,2
Output
1-3,6
Input
3,2,1
Output
1-3
Input
30,20,10
Output
10,20,30 | a=sorted(set(map(int,raw_input().split(','))))
b=[[-2,-2]]
for i in range(len(a)):
if a[i]==b[-1][1]+1:
b[-1][1]=a[i]
else:
b.append([a[i],a[i]])
print ','.join(map(lambda x:str(x[0]) if x[0]==x[1] else str(x[0])+'-'+str(x[1]),b[1:])) | 1Python2
| {
"input": [
"30,20,10\n",
"3,2,1\n",
"1,2,3,1,1,2,6,6,2\n",
"511,32\n",
"684,698,429,694,956,812,594,170,937,764\n",
"744,359,230,586,944,442\n",
"37\n",
"996,999,998,984,989,1000,996,993,1000,983,992,999,999,1000,979,992,987,1000,996,1000,1000,989,981,996,995,999,999,989,999,1000\n",
"1000\n",
"2\n",
"93,27,28,4,5,78,59,24,19,134,31,128,118,36,90,32,32,1,44,32,33,13,31,10,12,25,38,50,25,12,4,22,28,53,48,83,4,25,57,31,71,24,8,7,28,86,23,80,101,58\n",
"646,840,437,946,640,564,936,917,487,752,844,734,468,969,674,646,728,642,514,695\n",
"4,24,6,1,15\n",
"303,872,764,401\n",
"48,108,63,21,27,8,49,21,75,8,24,42,149,18,8,28,21,18,25,35,59,70,59,33,40,1,67,34,120,82,4,115,72,87,3,15,15,63,37,12,40,27,83,14,38,20,14,58,93,10,31,3,39,6,197,77,54,16,31,146,9,49,14,8,77,82,5,11,80,116,8,61,50,24,7,103,29,11,3,3,1,12,46,24,21,131,39,29,36,2,107,40,16,99,31,41,29,48,17,17\n",
"31,75,86,68,111,27,22,22,26,30,54,163,107,75,160,122,14,23,17,26,27,20,43,58,59,71,21,148,9,32,43,91,133,286,132,70,90,156,84,14,77,93,23,18,13,72,18,131,33,28,72,175,30,86,249,20,14,208,28,57,63,199,6,10,24,30,62,267,43,479,60,28,138,1,45,3,19,47,7,166,116,117,50,140,28,14,95,85,93,43,61,15,2,70,10,51,7,95,9,25\n",
"1000,1000,1000,1000,1000,998,998,1000,1000,1000,1000,999,999,1000,1000,1000,999,1000,997,999,997,1000,999,998,1000,999,1000,1000,1000,999,1000,999,999,1000,1000,999,1000,999,1000,1000,998,1000,1000,1000,998,998,1000,1000,999,1000,1000,1000,1000,1000,1000,1000,998,1000,1000,1000,999,1000,1000,999,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,998,1000,1000,1000,998,1000,1000,998,1000,999,1000,1000,1000,1000\n",
"896,898,967,979,973,709,961,968,806,967,896,967,826,975,936,903,986,856,851,931,852,971,786,837,949,978,686,936,952,909,965,749,908,916,943,973,983,975,939,886,964,928,960,976,907,788,994,773,949,871,947,980,945,985,726,981,887,943,907,990,931,874,840,867,948,951,961,904,888,901,976,967,994,921,828,970,972,722,755,970,860,855,914,869,714,899,969,978,898,862,642,939,904,936,819,934,884,983,955,964\n",
"826,747,849,687,437\n",
"907,452,355\n",
"999\n",
"4,4,21,6,5,3,13,2,6,1,3,4,1,3,1,9,11,1,6,17,4,5,20,4,1,9,5,11,3,4,14,1,3,3,1,4,3,5,27,1,1,2,10,7,11,4,19,7,11,6,11,13,3,1,10,7,2,1,16,1,9,4,29,13,2,12,14,2,21,1,9,8,26,12,12,5,2,14,7,8,8,8,9,4,12,2,6,6,7,16,8,14,2,10,20,15,3,7,4\n",
"994,927,872,970,815,986,952,996,965,1000,877,986,978,999,950,990,936,997,993,960,921,860,895,869,943,998,983,968,973,953,999,990,995,871,853,979,973,963,953,938,997,989,993,964,960,973,946,975,1000,962,920,746,989,957,904,965,920,979,966,961,1000,993,975,952,846,971,991,979,985,969,984,973,956,1000,952,778,983,974,956,927,995,997,980,997,1000,970,960,970,988,983,947,904,935,972,1000,863,992,996,932,967\n",
"713,572,318,890,577,657,646,146,373,783,392,229,455,871,20,593,573,336,26,381,280,916,907,732,820,713,111,840,570,446,184,711,481,399,788,647,492,15,40,530,549,506,719,782,126,20,778,996,712,761,9,74,812,418,488,175,103,585,900,3,604,521,109,513,145,708,990,361,682,827,791,22,596,780,596,385,450,643,158,496,876,975,319,783,654,895,891,361,397,81,682,899,347,623,809,557,435,279,513,438\n",
"999,999,993,969,999\n",
"1\n",
"411,32\n",
"684,699,429,694,956,812,594,170,937,764\n",
"244,449,685,032,953,447\n",
"19\n",
"0001,999,989,999,999,599,699,189,989,0001,0001,699,0001,789,299,979,0001,999,999,299,389,0001,399,699,0001,989,489,899,999,699\n",
"3\n",
"596,415,246,827,646,476,969,864,437,448,257,784,719,639,465,046,649,734,048,646\n",
"3,24,6,1,15\n",
"31,75,86,78,111,27,22,22,26,30,54,163,107,75,160,122,14,23,17,26,27,20,43,58,59,71,21,148,9,32,43,91,133,286,132,70,90,156,84,14,77,93,23,18,13,72,18,131,33,28,72,175,30,86,249,20,14,208,28,57,63,199,6,10,24,30,62,267,43,479,60,28,138,1,45,3,19,47,7,166,116,117,50,140,28,14,95,85,93,43,61,15,2,70,10,51,7,95,9,25\n",
"734,786,948,747,628\n",
"907,352,355\n",
"550\n",
"4,4,21,6,5,3,13,2,6,1,3,4,1,3,1,9,11,1,6,17,4,5,20,4,1,9,6,11,3,4,14,1,3,3,1,4,3,5,27,1,1,2,10,7,11,4,19,7,11,6,11,13,3,1,10,7,2,1,16,1,9,4,29,13,2,12,14,2,21,1,9,8,26,12,12,5,2,14,7,8,8,8,9,4,12,2,6,6,7,16,8,14,2,10,20,15,3,7,4\n",
"713,572,318,890,577,657,646,146,373,783,392,229,455,871,20,593,573,336,26,381,280,916,907,732,820,713,111,840,570,446,184,711,481,399,788,647,492,15,40,530,549,506,719,782,126,20,778,996,712,761,9,74,812,418,488,175,103,585,900,3,604,521,509,513,145,708,990,361,682,827,791,22,596,780,596,385,450,643,118,496,876,975,319,783,654,895,891,361,397,81,682,899,347,623,809,557,435,279,513,438\n",
"999,999,983,969,999\n",
"30,10,10\n",
"114,32\n",
"684,699,429,694,956,811,594,170,937,764\n",
"244,449,685,032,953,457\n",
"30\n",
"0001,999,989,999,999,599,699,189,989,0001,0001,699,0001,789,299,979,0001,999,999,299,489,0001,399,699,0001,989,489,899,999,699\n",
"566,415,246,827,646,476,969,864,437,448,257,784,719,939,465,046,649,734,048,646\n",
"3,24,6,1,16\n",
"553,253,709\n",
"730\n",
"01,01,03\n",
"114,42\n",
"684,699,429,694,856,911,594,170,937,764\n",
"43\n",
"0001,999,989,999,999,599,699,189,989,0001,0101,699,0001,789,299,979,0001,999,999,299,489,0001,399,699,0001,989,489,899,999,699\n",
"566,415,246,824,646,476,969,864,437,448,257,784,719,939,465,046,649,737,048,646\n",
"553,253,609\n",
"01,01,13\n",
"684,699,429,694,856,911,594,170,837,764\n",
"78\n",
"0001,999,989,999,999,699,699,189,989,0001,0101,699,0001,789,299,979,0001,999,999,299,489,0001,399,699,0001,989,489,899,999,699\n",
"646,840,737,946,640,564,939,917,487,752,844,734,468,969,674,646,428,642,514,665\n",
"553,252,609\n",
"467,738,071,495,119,658,496,924,996,486\n",
"85\n",
"646,840,737,946,640,564,939,817,487,752,844,734,468,969,674,646,428,642,514,665\n",
"555,232,609\n",
"467,738,671,495,119,658,490,924,996,486\n",
"99\n",
"545,232,609\n",
"467,738,672,495,119,658,490,924,996,486\n",
"61\n",
"906,232,545\n",
"684,699,429,094,856,911,594,276,837,764\n",
"93\n",
"906,132,545\n",
"49\n",
"545,231,609\n",
"97\n",
"546,231,609\n",
"511,31\n",
"684,698,429,694,956,812,594,160,937,764\n",
"744,359,234,586,940,442\n",
"69\n",
"646,840,437,946,640,564,936,917,587,752,844,734,468,969,674,646,728,642,514,695\n",
"0001,0001,0001,0001,999,0001,899,0001,0001,899,0001,0001,0001,899,0001,0001,0001,0001,0001,0001,0001,0001,0001,0001,999,0001,0001,999,0001,0001,0001,899,0001,0001,0001,0001,0001,0001,0001,999,0001,0001,899,899,0001,0001,0001,899,0001,0001,999,0001,999,0001,0001,999,999,0001,999,0001,0001,0001,999,0001,899,999,0001,799,999,799,0001,999,0001,0001,0001,999,999,0001,0001,0001,0001,899,899,0001,0001,0001,0001,0001\n",
"469,559,389,488,439,918,639,409,939,246,268,898,879,969,998,417,968,419,558,068,079,557,227,279,079,828,129,499,769,679,109,888,409,169,159,849,768,048,478,139,099,709,349,788,189,627,589,549,089,749,178,949,377,499,887,709,679,069,829,469,688,939,579,389,379,349,619,809,947,569,909,259,639,686,879,949,738,687,179,258,139,158,658,689,309,639,579,628,769,698,769,608,869,169,907,379,979,769,898,698\n",
"907,453,355\n",
"994,927,872,970,815,986,952,996,965,1000,877,986,978,999,950,990,936,997,993,960,920,860,895,869,943,998,983,968,973,953,999,990,995,871,853,979,973,963,953,938,997,989,993,964,960,973,946,975,1000,962,920,746,989,957,904,965,920,979,966,961,1000,993,975,952,846,971,991,979,985,969,984,973,956,1000,952,778,983,974,956,927,995,997,980,997,1000,970,960,970,988,983,947,904,935,972,1000,863,992,996,932,967\n",
"999,989,993,969,999\n",
"01,02,03\n",
"410,32\n",
"684,699,429,694,956,812,594,070,937,764\n",
"744,359,230,576,944,442\n",
"5\n",
"7\n",
"598,415,246,827,646,476,969,864,437,448,257,764,719,639,465,046,649,734,048,646\n",
"51,1,6,42,3\n",
"826,747,849,786,437\n",
"907,342,355\n",
"500\n",
"4,4,21,6,5,3,13,2,6,1,3,4,1,3,1,9,11,1,6,17,4,5,20,4,1,9,6,11,3,4,14,1,3,3,1,4,3,5,27,1,1,2,10,7,11,4,19,7,11,6,11,13,3,1,10,7,2,1,16,1,9,4,29,13,2,12,24,2,21,1,9,8,26,12,12,5,2,14,7,8,8,8,9,4,12,2,6,6,7,16,8,14,2,10,20,15,3,7,4\n",
"996,999,983,999,999\n",
"114,24\n",
"244,449,686,032,953,457\n",
"54\n",
"566,415,246,827,646,476,969,864,437,448,257,784,719,939,465,046,649,734,048,746\n",
"3,14,6,1,16\n",
"557,253,309\n",
"419\n",
"01,11,03\n",
"684,699,429,694,856,911,594,270,937,764\n",
"22\n",
"0001,999,989,999,999,599,699,189,988,0001,0101,699,0001,789,299,979,0001,999,999,299,489,0001,399,699,0001,989,489,899,999,699\n",
"966,415,246,824,646,476,969,864,437,448,257,784,719,939,465,046,645,737,048,646\n",
"684,699,429,694,855,911,594,170,837,764\n",
"104\n",
"553,252,690\n",
"684,699,429,694,856,911,594,170,837,763\n",
"36\n",
"566,415,246,824,646,476,969,864,437,448,257,784,718,939,465,046,649,737,048,646\n",
"555,230,629\n",
"684,699,429,094,856,911,594,176,837,764\n",
"84\n",
"906,032,545\n"
],
"output": [
"10,20,30",
"1-3",
"1-3,6",
"32,511",
"170,429,594,684,694,698,764,812,937,956",
"230,359,442,586,744,944",
"37",
"979,981,983-984,987,989,992-993,995-996,998-1000",
"1000",
"2",
"1,4-5,7-8,10,12-13,19,22-25,27-28,31-33,36,38,44,48,50,53,57-59,71,78,80,83,86,90,93,101,118,128,134",
"437,468,487,514,564,640,642,646,674,695,728,734,752,840,844,917,936,946,969",
"1,4,6,15,24",
"303,401,764,872",
"1-12,14-18,20-21,24-25,27-29,31,33-42,46,48-50,54,58-59,61,63,67,70,72,75,77,80,82-83,87,93,99,103,107-108,115-116,120,131,146,149,197",
"1-3,6-7,9-10,13-15,17-28,30-33,43,45,47,50-51,54,57-63,68,70-72,75,77,84-86,90-91,93,95,107,111,116-117,122,131-133,138,140,148,156,160,163,166,175,199,208,249,267,286,479",
"997-1000",
"642,686,709,714,722,726,749,755,773,786,788,806,819,826,828,837,840,851-852,855-856,860,862,867,869,871,874,884,886-888,896,898-899,901,903-904,907-909,914,916,921,928,931,934,936,939,943,945,947-949,951-952,955,960-961,964-965,967-973,975-976,978-981,983,985-986,990,994",
"437,687,747,826,849",
"355,452,907",
"999",
"1-17,19-21,26-27,29",
"746,778,815,846,853,860,863,869,871-872,877,895,904,920-921,927,932,935-936,938,943,946-947,950,952-953,956-957,960-975,978-980,983-986,988-1000",
"3,9,15,20,22,26,40,74,81,103,109,111,126,145-146,158,175,184,229,279-280,318-319,336,347,361,373,381,385,392,397,399,418,435,438,446,450,455,481,488,492,496,506,513,521,530,549,557,570,572-573,577,585,593,596,604,623,643,646-647,654,657,682,708,711-713,719,732,761,778,780,782-783,788,791,809,812,820,827,840,871,876,890-891,895,899-900,907,916,975,990,996",
"969,993,999",
"1",
"32,411\n",
"170,429,594,684,694,699,764,812,937,956\n",
"32,244,447,449,685,953\n",
"19\n",
"1,189,299,389,399,489,599,699,789,899,979,989,999\n",
"3\n",
"46,48,246,257,415,437,448,465,476,596,639,646,649,719,734,784,827,864,969\n",
"1,3,6,15,24\n",
"1-3,6-7,9-10,13-15,17-28,30-33,43,45,47,50-51,54,57-63,70-72,75,77-78,84-86,90-91,93,95,107,111,116-117,122,131-133,138,140,148,156,160,163,166,175,199,208,249,267,286,479\n",
"628,734,747,786,948\n",
"352,355,907\n",
"550\n",
"1-17,19-21,26-27,29\n",
"3,9,15,20,22,26,40,74,81,103,111,118,126,145-146,175,184,229,279-280,318-319,336,347,361,373,381,385,392,397,399,418,435,438,446,450,455,481,488,492,496,506,509,513,521,530,549,557,570,572-573,577,585,593,596,604,623,643,646-647,654,657,682,708,711-713,719,732,761,778,780,782-783,788,791,809,812,820,827,840,871,876,890-891,895,899-900,907,916,975,990,996\n",
"969,983,999\n",
"10,30\n",
"32,114\n",
"170,429,594,684,694,699,764,811,937,956\n",
"32,244,449,457,685,953\n",
"30\n",
"1,189,299,399,489,599,699,789,899,979,989,999\n",
"46,48,246,257,415,437,448,465,476,566,646,649,719,734,784,827,864,939,969\n",
"1,3,6,16,24\n",
"253,553,709\n",
"730\n",
"1,3\n",
"42,114\n",
"170,429,594,684,694,699,764,856,911,937\n",
"43\n",
"1,101,189,299,399,489,599,699,789,899,979,989,999\n",
"46,48,246,257,415,437,448,465,476,566,646,649,719,737,784,824,864,939,969\n",
"253,553,609\n",
"1,13\n",
"170,429,594,684,694,699,764,837,856,911\n",
"78\n",
"1,101,189,299,399,489,699,789,899,979,989,999\n",
"428,468,487,514,564,640,642,646,665,674,734,737,752,840,844,917,939,946,969\n",
"252,553,609\n",
"71,119,467,486,495-496,658,738,924,996\n",
"85\n",
"428,468,487,514,564,640,642,646,665,674,734,737,752,817,840,844,939,946,969\n",
"232,555,609\n",
"119,467,486,490,495,658,671,738,924,996\n",
"99\n",
"232,545,609\n",
"119,467,486,490,495,658,672,738,924,996\n",
"61\n",
"232,545,906\n",
"94,276,429,594,684,699,764,837,856,911\n",
"93\n",
"132,545,906\n",
"49\n",
"231,545,609\n",
"97\n",
"231,546,609\n",
"31,511\n",
"160,429,594,684,694,698,764,812,937,956\n",
"234,359,442,586,744,940\n",
"69\n",
"437,468,514,564,587,640,642,646,674,695,728,734,752,840,844,917,936,946,969\n",
"1,799,899,999\n",
"48,68-69,79,89,99,109,129,139,158-159,169,178-179,189,227,246,258-259,268,279,309,349,377,379,389,409,417,419,439,469,478,488,499,549,557-559,569,579,589,608,619,627-628,639,658,679,686-689,698,709,738,749,768-769,788,809,828-829,849,869,879,887-888,898,907,909,918,939,947,949,968-969,979,998\n",
"355,453,907\n",
"746,778,815,846,853,860,863,869,871-872,877,895,904,920,927,932,935-936,938,943,946-947,950,952-953,956-957,960-975,978-980,983-986,988-1000\n",
"969,989,993,999\n",
"1-3\n",
"32,410\n",
"70,429,594,684,694,699,764,812,937,956\n",
"230,359,442,576,744,944\n",
"5\n",
"7\n",
"46,48,246,257,415,437,448,465,476,598,639,646,649,719,734,764,827,864,969\n",
"1,3,6,42,51\n",
"437,747,786,826,849\n",
"342,355,907\n",
"500\n",
"1-17,19-21,24,26-27,29\n",
"983,996,999\n",
"24,114\n",
"32,244,449,457,686,953\n",
"54\n",
"46,48,246,257,415,437,448,465,476,566,646,649,719,734,746,784,827,864,939,969\n",
"1,3,6,14,16\n",
"253,309,557\n",
"419\n",
"1,3,11\n",
"270,429,594,684,694,699,764,856,911,937\n",
"22\n",
"1,101,189,299,399,489,599,699,789,899,979,988-989,999\n",
"46,48,246,257,415,437,448,465,476,645-646,719,737,784,824,864,939,966,969\n",
"170,429,594,684,694,699,764,837,855,911\n",
"104\n",
"252,553,690\n",
"170,429,594,684,694,699,763,837,856,911\n",
"36\n",
"46,48,246,257,415,437,448,465,476,566,646,649,718,737,784,824,864,939,969\n",
"230,555,629\n",
"94,176,429,594,684,699,764,837,856,911\n",
"84\n",
"32,545,906\n"
]
} | 2CODEFORCES
|
34_C. Page Numbers_38256 | «Bersoft» company is working on a new version of its most popular text editor — Bord 2010. Bord, like many other text editors, should be able to print out multipage documents. A user keys a sequence of the document page numbers that he wants to print out (separates them with a comma, without spaces).
Your task is to write a part of the program, responsible for «standardization» of this sequence. Your program gets the sequence, keyed by the user, as input. The program should output this sequence in format l1-r1,l2-r2,...,lk-rk, where ri + 1 < li + 1 for all i from 1 to k - 1, and li ≤ ri. The new sequence should contain all the page numbers, keyed by the user, and nothing else. If some page number appears in the input sequence several times, its appearances, starting from the second one, should be ignored. If for some element i from the new sequence li = ri, this element should be output as li, and not as «li - li».
For example, sequence 1,2,3,1,1,2,6,6,2 should be output as 1-3,6.
Input
The only line contains the sequence, keyed by the user. The sequence contains at least one and at most 100 positive integer numbers. It's guaranteed, that this sequence consists of positive integer numbers, not exceeding 1000, separated with a comma, doesn't contain any other characters, apart from digits and commas, can't end with a comma, and the numbers don't contain leading zeroes. Also it doesn't start with a comma or contain more than one comma in a row.
Output
Output the sequence in the required format.
Examples
Input
1,2,3,1,1,2,6,6,2
Output
1-3,6
Input
3,2,1
Output
1-3
Input
30,20,10
Output
10,20,30 | #include <bits/stdc++.h>
using namespace std;
const long long mod = 1000000007;
int main() {
ios_base::sync_with_stdio(false);
cin.tie(NULL);
cout.tie(NULL);
set<int> s;
string t, k;
cin >> t;
int jj;
for (int i = 0; i < t.length(); i++) {
if (t[i] != ',') {
k += t[i];
} else {
jj = stoi(k);
s.insert(jj);
k.clear();
}
}
jj = stoi(k);
s.insert(jj);
vector<int> v(s.begin(), s.end());
int l = 0, sz = v.size();
for (int i = 1; i < sz; i++) {
if (v[i] - v[l] != i - l) {
if (i - l == 1)
cout << v[l] << ",";
else
cout << v[l] << "-" << v[i - 1] << ",";
l = i;
}
}
if (l == sz - 1)
cout << v[sz - 1];
else
cout << v[l] << "-" << v[sz - 1];
return 0;
}
| 2C++
| {
"input": [
"30,20,10\n",
"3,2,1\n",
"1,2,3,1,1,2,6,6,2\n",
"511,32\n",
"684,698,429,694,956,812,594,170,937,764\n",
"744,359,230,586,944,442\n",
"37\n",
"996,999,998,984,989,1000,996,993,1000,983,992,999,999,1000,979,992,987,1000,996,1000,1000,989,981,996,995,999,999,989,999,1000\n",
"1000\n",
"2\n",
"93,27,28,4,5,78,59,24,19,134,31,128,118,36,90,32,32,1,44,32,33,13,31,10,12,25,38,50,25,12,4,22,28,53,48,83,4,25,57,31,71,24,8,7,28,86,23,80,101,58\n",
"646,840,437,946,640,564,936,917,487,752,844,734,468,969,674,646,728,642,514,695\n",
"4,24,6,1,15\n",
"303,872,764,401\n",
"48,108,63,21,27,8,49,21,75,8,24,42,149,18,8,28,21,18,25,35,59,70,59,33,40,1,67,34,120,82,4,115,72,87,3,15,15,63,37,12,40,27,83,14,38,20,14,58,93,10,31,3,39,6,197,77,54,16,31,146,9,49,14,8,77,82,5,11,80,116,8,61,50,24,7,103,29,11,3,3,1,12,46,24,21,131,39,29,36,2,107,40,16,99,31,41,29,48,17,17\n",
"31,75,86,68,111,27,22,22,26,30,54,163,107,75,160,122,14,23,17,26,27,20,43,58,59,71,21,148,9,32,43,91,133,286,132,70,90,156,84,14,77,93,23,18,13,72,18,131,33,28,72,175,30,86,249,20,14,208,28,57,63,199,6,10,24,30,62,267,43,479,60,28,138,1,45,3,19,47,7,166,116,117,50,140,28,14,95,85,93,43,61,15,2,70,10,51,7,95,9,25\n",
"1000,1000,1000,1000,1000,998,998,1000,1000,1000,1000,999,999,1000,1000,1000,999,1000,997,999,997,1000,999,998,1000,999,1000,1000,1000,999,1000,999,999,1000,1000,999,1000,999,1000,1000,998,1000,1000,1000,998,998,1000,1000,999,1000,1000,1000,1000,1000,1000,1000,998,1000,1000,1000,999,1000,1000,999,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,998,1000,1000,1000,998,1000,1000,998,1000,999,1000,1000,1000,1000\n",
"896,898,967,979,973,709,961,968,806,967,896,967,826,975,936,903,986,856,851,931,852,971,786,837,949,978,686,936,952,909,965,749,908,916,943,973,983,975,939,886,964,928,960,976,907,788,994,773,949,871,947,980,945,985,726,981,887,943,907,990,931,874,840,867,948,951,961,904,888,901,976,967,994,921,828,970,972,722,755,970,860,855,914,869,714,899,969,978,898,862,642,939,904,936,819,934,884,983,955,964\n",
"826,747,849,687,437\n",
"907,452,355\n",
"999\n",
"4,4,21,6,5,3,13,2,6,1,3,4,1,3,1,9,11,1,6,17,4,5,20,4,1,9,5,11,3,4,14,1,3,3,1,4,3,5,27,1,1,2,10,7,11,4,19,7,11,6,11,13,3,1,10,7,2,1,16,1,9,4,29,13,2,12,14,2,21,1,9,8,26,12,12,5,2,14,7,8,8,8,9,4,12,2,6,6,7,16,8,14,2,10,20,15,3,7,4\n",
"994,927,872,970,815,986,952,996,965,1000,877,986,978,999,950,990,936,997,993,960,921,860,895,869,943,998,983,968,973,953,999,990,995,871,853,979,973,963,953,938,997,989,993,964,960,973,946,975,1000,962,920,746,989,957,904,965,920,979,966,961,1000,993,975,952,846,971,991,979,985,969,984,973,956,1000,952,778,983,974,956,927,995,997,980,997,1000,970,960,970,988,983,947,904,935,972,1000,863,992,996,932,967\n",
"713,572,318,890,577,657,646,146,373,783,392,229,455,871,20,593,573,336,26,381,280,916,907,732,820,713,111,840,570,446,184,711,481,399,788,647,492,15,40,530,549,506,719,782,126,20,778,996,712,761,9,74,812,418,488,175,103,585,900,3,604,521,109,513,145,708,990,361,682,827,791,22,596,780,596,385,450,643,158,496,876,975,319,783,654,895,891,361,397,81,682,899,347,623,809,557,435,279,513,438\n",
"999,999,993,969,999\n",
"1\n",
"411,32\n",
"684,699,429,694,956,812,594,170,937,764\n",
"244,449,685,032,953,447\n",
"19\n",
"0001,999,989,999,999,599,699,189,989,0001,0001,699,0001,789,299,979,0001,999,999,299,389,0001,399,699,0001,989,489,899,999,699\n",
"3\n",
"596,415,246,827,646,476,969,864,437,448,257,784,719,639,465,046,649,734,048,646\n",
"3,24,6,1,15\n",
"31,75,86,78,111,27,22,22,26,30,54,163,107,75,160,122,14,23,17,26,27,20,43,58,59,71,21,148,9,32,43,91,133,286,132,70,90,156,84,14,77,93,23,18,13,72,18,131,33,28,72,175,30,86,249,20,14,208,28,57,63,199,6,10,24,30,62,267,43,479,60,28,138,1,45,3,19,47,7,166,116,117,50,140,28,14,95,85,93,43,61,15,2,70,10,51,7,95,9,25\n",
"734,786,948,747,628\n",
"907,352,355\n",
"550\n",
"4,4,21,6,5,3,13,2,6,1,3,4,1,3,1,9,11,1,6,17,4,5,20,4,1,9,6,11,3,4,14,1,3,3,1,4,3,5,27,1,1,2,10,7,11,4,19,7,11,6,11,13,3,1,10,7,2,1,16,1,9,4,29,13,2,12,14,2,21,1,9,8,26,12,12,5,2,14,7,8,8,8,9,4,12,2,6,6,7,16,8,14,2,10,20,15,3,7,4\n",
"713,572,318,890,577,657,646,146,373,783,392,229,455,871,20,593,573,336,26,381,280,916,907,732,820,713,111,840,570,446,184,711,481,399,788,647,492,15,40,530,549,506,719,782,126,20,778,996,712,761,9,74,812,418,488,175,103,585,900,3,604,521,509,513,145,708,990,361,682,827,791,22,596,780,596,385,450,643,118,496,876,975,319,783,654,895,891,361,397,81,682,899,347,623,809,557,435,279,513,438\n",
"999,999,983,969,999\n",
"30,10,10\n",
"114,32\n",
"684,699,429,694,956,811,594,170,937,764\n",
"244,449,685,032,953,457\n",
"30\n",
"0001,999,989,999,999,599,699,189,989,0001,0001,699,0001,789,299,979,0001,999,999,299,489,0001,399,699,0001,989,489,899,999,699\n",
"566,415,246,827,646,476,969,864,437,448,257,784,719,939,465,046,649,734,048,646\n",
"3,24,6,1,16\n",
"553,253,709\n",
"730\n",
"01,01,03\n",
"114,42\n",
"684,699,429,694,856,911,594,170,937,764\n",
"43\n",
"0001,999,989,999,999,599,699,189,989,0001,0101,699,0001,789,299,979,0001,999,999,299,489,0001,399,699,0001,989,489,899,999,699\n",
"566,415,246,824,646,476,969,864,437,448,257,784,719,939,465,046,649,737,048,646\n",
"553,253,609\n",
"01,01,13\n",
"684,699,429,694,856,911,594,170,837,764\n",
"78\n",
"0001,999,989,999,999,699,699,189,989,0001,0101,699,0001,789,299,979,0001,999,999,299,489,0001,399,699,0001,989,489,899,999,699\n",
"646,840,737,946,640,564,939,917,487,752,844,734,468,969,674,646,428,642,514,665\n",
"553,252,609\n",
"467,738,071,495,119,658,496,924,996,486\n",
"85\n",
"646,840,737,946,640,564,939,817,487,752,844,734,468,969,674,646,428,642,514,665\n",
"555,232,609\n",
"467,738,671,495,119,658,490,924,996,486\n",
"99\n",
"545,232,609\n",
"467,738,672,495,119,658,490,924,996,486\n",
"61\n",
"906,232,545\n",
"684,699,429,094,856,911,594,276,837,764\n",
"93\n",
"906,132,545\n",
"49\n",
"545,231,609\n",
"97\n",
"546,231,609\n",
"511,31\n",
"684,698,429,694,956,812,594,160,937,764\n",
"744,359,234,586,940,442\n",
"69\n",
"646,840,437,946,640,564,936,917,587,752,844,734,468,969,674,646,728,642,514,695\n",
"0001,0001,0001,0001,999,0001,899,0001,0001,899,0001,0001,0001,899,0001,0001,0001,0001,0001,0001,0001,0001,0001,0001,999,0001,0001,999,0001,0001,0001,899,0001,0001,0001,0001,0001,0001,0001,999,0001,0001,899,899,0001,0001,0001,899,0001,0001,999,0001,999,0001,0001,999,999,0001,999,0001,0001,0001,999,0001,899,999,0001,799,999,799,0001,999,0001,0001,0001,999,999,0001,0001,0001,0001,899,899,0001,0001,0001,0001,0001\n",
"469,559,389,488,439,918,639,409,939,246,268,898,879,969,998,417,968,419,558,068,079,557,227,279,079,828,129,499,769,679,109,888,409,169,159,849,768,048,478,139,099,709,349,788,189,627,589,549,089,749,178,949,377,499,887,709,679,069,829,469,688,939,579,389,379,349,619,809,947,569,909,259,639,686,879,949,738,687,179,258,139,158,658,689,309,639,579,628,769,698,769,608,869,169,907,379,979,769,898,698\n",
"907,453,355\n",
"994,927,872,970,815,986,952,996,965,1000,877,986,978,999,950,990,936,997,993,960,920,860,895,869,943,998,983,968,973,953,999,990,995,871,853,979,973,963,953,938,997,989,993,964,960,973,946,975,1000,962,920,746,989,957,904,965,920,979,966,961,1000,993,975,952,846,971,991,979,985,969,984,973,956,1000,952,778,983,974,956,927,995,997,980,997,1000,970,960,970,988,983,947,904,935,972,1000,863,992,996,932,967\n",
"999,989,993,969,999\n",
"01,02,03\n",
"410,32\n",
"684,699,429,694,956,812,594,070,937,764\n",
"744,359,230,576,944,442\n",
"5\n",
"7\n",
"598,415,246,827,646,476,969,864,437,448,257,764,719,639,465,046,649,734,048,646\n",
"51,1,6,42,3\n",
"826,747,849,786,437\n",
"907,342,355\n",
"500\n",
"4,4,21,6,5,3,13,2,6,1,3,4,1,3,1,9,11,1,6,17,4,5,20,4,1,9,6,11,3,4,14,1,3,3,1,4,3,5,27,1,1,2,10,7,11,4,19,7,11,6,11,13,3,1,10,7,2,1,16,1,9,4,29,13,2,12,24,2,21,1,9,8,26,12,12,5,2,14,7,8,8,8,9,4,12,2,6,6,7,16,8,14,2,10,20,15,3,7,4\n",
"996,999,983,999,999\n",
"114,24\n",
"244,449,686,032,953,457\n",
"54\n",
"566,415,246,827,646,476,969,864,437,448,257,784,719,939,465,046,649,734,048,746\n",
"3,14,6,1,16\n",
"557,253,309\n",
"419\n",
"01,11,03\n",
"684,699,429,694,856,911,594,270,937,764\n",
"22\n",
"0001,999,989,999,999,599,699,189,988,0001,0101,699,0001,789,299,979,0001,999,999,299,489,0001,399,699,0001,989,489,899,999,699\n",
"966,415,246,824,646,476,969,864,437,448,257,784,719,939,465,046,645,737,048,646\n",
"684,699,429,694,855,911,594,170,837,764\n",
"104\n",
"553,252,690\n",
"684,699,429,694,856,911,594,170,837,763\n",
"36\n",
"566,415,246,824,646,476,969,864,437,448,257,784,718,939,465,046,649,737,048,646\n",
"555,230,629\n",
"684,699,429,094,856,911,594,176,837,764\n",
"84\n",
"906,032,545\n"
],
"output": [
"10,20,30",
"1-3",
"1-3,6",
"32,511",
"170,429,594,684,694,698,764,812,937,956",
"230,359,442,586,744,944",
"37",
"979,981,983-984,987,989,992-993,995-996,998-1000",
"1000",
"2",
"1,4-5,7-8,10,12-13,19,22-25,27-28,31-33,36,38,44,48,50,53,57-59,71,78,80,83,86,90,93,101,118,128,134",
"437,468,487,514,564,640,642,646,674,695,728,734,752,840,844,917,936,946,969",
"1,4,6,15,24",
"303,401,764,872",
"1-12,14-18,20-21,24-25,27-29,31,33-42,46,48-50,54,58-59,61,63,67,70,72,75,77,80,82-83,87,93,99,103,107-108,115-116,120,131,146,149,197",
"1-3,6-7,9-10,13-15,17-28,30-33,43,45,47,50-51,54,57-63,68,70-72,75,77,84-86,90-91,93,95,107,111,116-117,122,131-133,138,140,148,156,160,163,166,175,199,208,249,267,286,479",
"997-1000",
"642,686,709,714,722,726,749,755,773,786,788,806,819,826,828,837,840,851-852,855-856,860,862,867,869,871,874,884,886-888,896,898-899,901,903-904,907-909,914,916,921,928,931,934,936,939,943,945,947-949,951-952,955,960-961,964-965,967-973,975-976,978-981,983,985-986,990,994",
"437,687,747,826,849",
"355,452,907",
"999",
"1-17,19-21,26-27,29",
"746,778,815,846,853,860,863,869,871-872,877,895,904,920-921,927,932,935-936,938,943,946-947,950,952-953,956-957,960-975,978-980,983-986,988-1000",
"3,9,15,20,22,26,40,74,81,103,109,111,126,145-146,158,175,184,229,279-280,318-319,336,347,361,373,381,385,392,397,399,418,435,438,446,450,455,481,488,492,496,506,513,521,530,549,557,570,572-573,577,585,593,596,604,623,643,646-647,654,657,682,708,711-713,719,732,761,778,780,782-783,788,791,809,812,820,827,840,871,876,890-891,895,899-900,907,916,975,990,996",
"969,993,999",
"1",
"32,411\n",
"170,429,594,684,694,699,764,812,937,956\n",
"32,244,447,449,685,953\n",
"19\n",
"1,189,299,389,399,489,599,699,789,899,979,989,999\n",
"3\n",
"46,48,246,257,415,437,448,465,476,596,639,646,649,719,734,784,827,864,969\n",
"1,3,6,15,24\n",
"1-3,6-7,9-10,13-15,17-28,30-33,43,45,47,50-51,54,57-63,70-72,75,77-78,84-86,90-91,93,95,107,111,116-117,122,131-133,138,140,148,156,160,163,166,175,199,208,249,267,286,479\n",
"628,734,747,786,948\n",
"352,355,907\n",
"550\n",
"1-17,19-21,26-27,29\n",
"3,9,15,20,22,26,40,74,81,103,111,118,126,145-146,175,184,229,279-280,318-319,336,347,361,373,381,385,392,397,399,418,435,438,446,450,455,481,488,492,496,506,509,513,521,530,549,557,570,572-573,577,585,593,596,604,623,643,646-647,654,657,682,708,711-713,719,732,761,778,780,782-783,788,791,809,812,820,827,840,871,876,890-891,895,899-900,907,916,975,990,996\n",
"969,983,999\n",
"10,30\n",
"32,114\n",
"170,429,594,684,694,699,764,811,937,956\n",
"32,244,449,457,685,953\n",
"30\n",
"1,189,299,399,489,599,699,789,899,979,989,999\n",
"46,48,246,257,415,437,448,465,476,566,646,649,719,734,784,827,864,939,969\n",
"1,3,6,16,24\n",
"253,553,709\n",
"730\n",
"1,3\n",
"42,114\n",
"170,429,594,684,694,699,764,856,911,937\n",
"43\n",
"1,101,189,299,399,489,599,699,789,899,979,989,999\n",
"46,48,246,257,415,437,448,465,476,566,646,649,719,737,784,824,864,939,969\n",
"253,553,609\n",
"1,13\n",
"170,429,594,684,694,699,764,837,856,911\n",
"78\n",
"1,101,189,299,399,489,699,789,899,979,989,999\n",
"428,468,487,514,564,640,642,646,665,674,734,737,752,840,844,917,939,946,969\n",
"252,553,609\n",
"71,119,467,486,495-496,658,738,924,996\n",
"85\n",
"428,468,487,514,564,640,642,646,665,674,734,737,752,817,840,844,939,946,969\n",
"232,555,609\n",
"119,467,486,490,495,658,671,738,924,996\n",
"99\n",
"232,545,609\n",
"119,467,486,490,495,658,672,738,924,996\n",
"61\n",
"232,545,906\n",
"94,276,429,594,684,699,764,837,856,911\n",
"93\n",
"132,545,906\n",
"49\n",
"231,545,609\n",
"97\n",
"231,546,609\n",
"31,511\n",
"160,429,594,684,694,698,764,812,937,956\n",
"234,359,442,586,744,940\n",
"69\n",
"437,468,514,564,587,640,642,646,674,695,728,734,752,840,844,917,936,946,969\n",
"1,799,899,999\n",
"48,68-69,79,89,99,109,129,139,158-159,169,178-179,189,227,246,258-259,268,279,309,349,377,379,389,409,417,419,439,469,478,488,499,549,557-559,569,579,589,608,619,627-628,639,658,679,686-689,698,709,738,749,768-769,788,809,828-829,849,869,879,887-888,898,907,909,918,939,947,949,968-969,979,998\n",
"355,453,907\n",
"746,778,815,846,853,860,863,869,871-872,877,895,904,920,927,932,935-936,938,943,946-947,950,952-953,956-957,960-975,978-980,983-986,988-1000\n",
"969,989,993,999\n",
"1-3\n",
"32,410\n",
"70,429,594,684,694,699,764,812,937,956\n",
"230,359,442,576,744,944\n",
"5\n",
"7\n",
"46,48,246,257,415,437,448,465,476,598,639,646,649,719,734,764,827,864,969\n",
"1,3,6,42,51\n",
"437,747,786,826,849\n",
"342,355,907\n",
"500\n",
"1-17,19-21,24,26-27,29\n",
"983,996,999\n",
"24,114\n",
"32,244,449,457,686,953\n",
"54\n",
"46,48,246,257,415,437,448,465,476,566,646,649,719,734,746,784,827,864,939,969\n",
"1,3,6,14,16\n",
"253,309,557\n",
"419\n",
"1,3,11\n",
"270,429,594,684,694,699,764,856,911,937\n",
"22\n",
"1,101,189,299,399,489,599,699,789,899,979,988-989,999\n",
"46,48,246,257,415,437,448,465,476,645-646,719,737,784,824,864,939,966,969\n",
"170,429,594,684,694,699,764,837,855,911\n",
"104\n",
"252,553,690\n",
"170,429,594,684,694,699,763,837,856,911\n",
"36\n",
"46,48,246,257,415,437,448,465,476,566,646,649,718,737,784,824,864,939,969\n",
"230,555,629\n",
"94,176,429,594,684,699,764,837,856,911\n",
"84\n",
"32,545,906\n"
]
} | 2CODEFORCES
|
34_C. Page Numbers_38257 | «Bersoft» company is working on a new version of its most popular text editor — Bord 2010. Bord, like many other text editors, should be able to print out multipage documents. A user keys a sequence of the document page numbers that he wants to print out (separates them with a comma, without spaces).
Your task is to write a part of the program, responsible for «standardization» of this sequence. Your program gets the sequence, keyed by the user, as input. The program should output this sequence in format l1-r1,l2-r2,...,lk-rk, where ri + 1 < li + 1 for all i from 1 to k - 1, and li ≤ ri. The new sequence should contain all the page numbers, keyed by the user, and nothing else. If some page number appears in the input sequence several times, its appearances, starting from the second one, should be ignored. If for some element i from the new sequence li = ri, this element should be output as li, and not as «li - li».
For example, sequence 1,2,3,1,1,2,6,6,2 should be output as 1-3,6.
Input
The only line contains the sequence, keyed by the user. The sequence contains at least one and at most 100 positive integer numbers. It's guaranteed, that this sequence consists of positive integer numbers, not exceeding 1000, separated with a comma, doesn't contain any other characters, apart from digits and commas, can't end with a comma, and the numbers don't contain leading zeroes. Also it doesn't start with a comma or contain more than one comma in a row.
Output
Output the sequence in the required format.
Examples
Input
1,2,3,1,1,2,6,6,2
Output
1-3,6
Input
3,2,1
Output
1-3
Input
30,20,10
Output
10,20,30 | A=[int(num) for num in input().split(',')]
s_a=sorted(set(A))
prev=None
string=""
count=0
for i in s_a:
if prev is None:
prev=i
string+=str(prev)
count+=1
else:
if i-(prev+count)==0:
count+=1
else:
if count>1:
string+='-'+str(prev+count-1)+','+str(i)
else:
string+=','+str(i)
count=1
prev=i
if count>1:
string+='-'+str(prev+count-1)
print(string)
| 3Python3
| {
"input": [
"30,20,10\n",
"3,2,1\n",
"1,2,3,1,1,2,6,6,2\n",
"511,32\n",
"684,698,429,694,956,812,594,170,937,764\n",
"744,359,230,586,944,442\n",
"37\n",
"996,999,998,984,989,1000,996,993,1000,983,992,999,999,1000,979,992,987,1000,996,1000,1000,989,981,996,995,999,999,989,999,1000\n",
"1000\n",
"2\n",
"93,27,28,4,5,78,59,24,19,134,31,128,118,36,90,32,32,1,44,32,33,13,31,10,12,25,38,50,25,12,4,22,28,53,48,83,4,25,57,31,71,24,8,7,28,86,23,80,101,58\n",
"646,840,437,946,640,564,936,917,487,752,844,734,468,969,674,646,728,642,514,695\n",
"4,24,6,1,15\n",
"303,872,764,401\n",
"48,108,63,21,27,8,49,21,75,8,24,42,149,18,8,28,21,18,25,35,59,70,59,33,40,1,67,34,120,82,4,115,72,87,3,15,15,63,37,12,40,27,83,14,38,20,14,58,93,10,31,3,39,6,197,77,54,16,31,146,9,49,14,8,77,82,5,11,80,116,8,61,50,24,7,103,29,11,3,3,1,12,46,24,21,131,39,29,36,2,107,40,16,99,31,41,29,48,17,17\n",
"31,75,86,68,111,27,22,22,26,30,54,163,107,75,160,122,14,23,17,26,27,20,43,58,59,71,21,148,9,32,43,91,133,286,132,70,90,156,84,14,77,93,23,18,13,72,18,131,33,28,72,175,30,86,249,20,14,208,28,57,63,199,6,10,24,30,62,267,43,479,60,28,138,1,45,3,19,47,7,166,116,117,50,140,28,14,95,85,93,43,61,15,2,70,10,51,7,95,9,25\n",
"1000,1000,1000,1000,1000,998,998,1000,1000,1000,1000,999,999,1000,1000,1000,999,1000,997,999,997,1000,999,998,1000,999,1000,1000,1000,999,1000,999,999,1000,1000,999,1000,999,1000,1000,998,1000,1000,1000,998,998,1000,1000,999,1000,1000,1000,1000,1000,1000,1000,998,1000,1000,1000,999,1000,1000,999,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,998,1000,1000,1000,998,1000,1000,998,1000,999,1000,1000,1000,1000\n",
"896,898,967,979,973,709,961,968,806,967,896,967,826,975,936,903,986,856,851,931,852,971,786,837,949,978,686,936,952,909,965,749,908,916,943,973,983,975,939,886,964,928,960,976,907,788,994,773,949,871,947,980,945,985,726,981,887,943,907,990,931,874,840,867,948,951,961,904,888,901,976,967,994,921,828,970,972,722,755,970,860,855,914,869,714,899,969,978,898,862,642,939,904,936,819,934,884,983,955,964\n",
"826,747,849,687,437\n",
"907,452,355\n",
"999\n",
"4,4,21,6,5,3,13,2,6,1,3,4,1,3,1,9,11,1,6,17,4,5,20,4,1,9,5,11,3,4,14,1,3,3,1,4,3,5,27,1,1,2,10,7,11,4,19,7,11,6,11,13,3,1,10,7,2,1,16,1,9,4,29,13,2,12,14,2,21,1,9,8,26,12,12,5,2,14,7,8,8,8,9,4,12,2,6,6,7,16,8,14,2,10,20,15,3,7,4\n",
"994,927,872,970,815,986,952,996,965,1000,877,986,978,999,950,990,936,997,993,960,921,860,895,869,943,998,983,968,973,953,999,990,995,871,853,979,973,963,953,938,997,989,993,964,960,973,946,975,1000,962,920,746,989,957,904,965,920,979,966,961,1000,993,975,952,846,971,991,979,985,969,984,973,956,1000,952,778,983,974,956,927,995,997,980,997,1000,970,960,970,988,983,947,904,935,972,1000,863,992,996,932,967\n",
"713,572,318,890,577,657,646,146,373,783,392,229,455,871,20,593,573,336,26,381,280,916,907,732,820,713,111,840,570,446,184,711,481,399,788,647,492,15,40,530,549,506,719,782,126,20,778,996,712,761,9,74,812,418,488,175,103,585,900,3,604,521,109,513,145,708,990,361,682,827,791,22,596,780,596,385,450,643,158,496,876,975,319,783,654,895,891,361,397,81,682,899,347,623,809,557,435,279,513,438\n",
"999,999,993,969,999\n",
"1\n",
"411,32\n",
"684,699,429,694,956,812,594,170,937,764\n",
"244,449,685,032,953,447\n",
"19\n",
"0001,999,989,999,999,599,699,189,989,0001,0001,699,0001,789,299,979,0001,999,999,299,389,0001,399,699,0001,989,489,899,999,699\n",
"3\n",
"596,415,246,827,646,476,969,864,437,448,257,784,719,639,465,046,649,734,048,646\n",
"3,24,6,1,15\n",
"31,75,86,78,111,27,22,22,26,30,54,163,107,75,160,122,14,23,17,26,27,20,43,58,59,71,21,148,9,32,43,91,133,286,132,70,90,156,84,14,77,93,23,18,13,72,18,131,33,28,72,175,30,86,249,20,14,208,28,57,63,199,6,10,24,30,62,267,43,479,60,28,138,1,45,3,19,47,7,166,116,117,50,140,28,14,95,85,93,43,61,15,2,70,10,51,7,95,9,25\n",
"734,786,948,747,628\n",
"907,352,355\n",
"550\n",
"4,4,21,6,5,3,13,2,6,1,3,4,1,3,1,9,11,1,6,17,4,5,20,4,1,9,6,11,3,4,14,1,3,3,1,4,3,5,27,1,1,2,10,7,11,4,19,7,11,6,11,13,3,1,10,7,2,1,16,1,9,4,29,13,2,12,14,2,21,1,9,8,26,12,12,5,2,14,7,8,8,8,9,4,12,2,6,6,7,16,8,14,2,10,20,15,3,7,4\n",
"713,572,318,890,577,657,646,146,373,783,392,229,455,871,20,593,573,336,26,381,280,916,907,732,820,713,111,840,570,446,184,711,481,399,788,647,492,15,40,530,549,506,719,782,126,20,778,996,712,761,9,74,812,418,488,175,103,585,900,3,604,521,509,513,145,708,990,361,682,827,791,22,596,780,596,385,450,643,118,496,876,975,319,783,654,895,891,361,397,81,682,899,347,623,809,557,435,279,513,438\n",
"999,999,983,969,999\n",
"30,10,10\n",
"114,32\n",
"684,699,429,694,956,811,594,170,937,764\n",
"244,449,685,032,953,457\n",
"30\n",
"0001,999,989,999,999,599,699,189,989,0001,0001,699,0001,789,299,979,0001,999,999,299,489,0001,399,699,0001,989,489,899,999,699\n",
"566,415,246,827,646,476,969,864,437,448,257,784,719,939,465,046,649,734,048,646\n",
"3,24,6,1,16\n",
"553,253,709\n",
"730\n",
"01,01,03\n",
"114,42\n",
"684,699,429,694,856,911,594,170,937,764\n",
"43\n",
"0001,999,989,999,999,599,699,189,989,0001,0101,699,0001,789,299,979,0001,999,999,299,489,0001,399,699,0001,989,489,899,999,699\n",
"566,415,246,824,646,476,969,864,437,448,257,784,719,939,465,046,649,737,048,646\n",
"553,253,609\n",
"01,01,13\n",
"684,699,429,694,856,911,594,170,837,764\n",
"78\n",
"0001,999,989,999,999,699,699,189,989,0001,0101,699,0001,789,299,979,0001,999,999,299,489,0001,399,699,0001,989,489,899,999,699\n",
"646,840,737,946,640,564,939,917,487,752,844,734,468,969,674,646,428,642,514,665\n",
"553,252,609\n",
"467,738,071,495,119,658,496,924,996,486\n",
"85\n",
"646,840,737,946,640,564,939,817,487,752,844,734,468,969,674,646,428,642,514,665\n",
"555,232,609\n",
"467,738,671,495,119,658,490,924,996,486\n",
"99\n",
"545,232,609\n",
"467,738,672,495,119,658,490,924,996,486\n",
"61\n",
"906,232,545\n",
"684,699,429,094,856,911,594,276,837,764\n",
"93\n",
"906,132,545\n",
"49\n",
"545,231,609\n",
"97\n",
"546,231,609\n",
"511,31\n",
"684,698,429,694,956,812,594,160,937,764\n",
"744,359,234,586,940,442\n",
"69\n",
"646,840,437,946,640,564,936,917,587,752,844,734,468,969,674,646,728,642,514,695\n",
"0001,0001,0001,0001,999,0001,899,0001,0001,899,0001,0001,0001,899,0001,0001,0001,0001,0001,0001,0001,0001,0001,0001,999,0001,0001,999,0001,0001,0001,899,0001,0001,0001,0001,0001,0001,0001,999,0001,0001,899,899,0001,0001,0001,899,0001,0001,999,0001,999,0001,0001,999,999,0001,999,0001,0001,0001,999,0001,899,999,0001,799,999,799,0001,999,0001,0001,0001,999,999,0001,0001,0001,0001,899,899,0001,0001,0001,0001,0001\n",
"469,559,389,488,439,918,639,409,939,246,268,898,879,969,998,417,968,419,558,068,079,557,227,279,079,828,129,499,769,679,109,888,409,169,159,849,768,048,478,139,099,709,349,788,189,627,589,549,089,749,178,949,377,499,887,709,679,069,829,469,688,939,579,389,379,349,619,809,947,569,909,259,639,686,879,949,738,687,179,258,139,158,658,689,309,639,579,628,769,698,769,608,869,169,907,379,979,769,898,698\n",
"907,453,355\n",
"994,927,872,970,815,986,952,996,965,1000,877,986,978,999,950,990,936,997,993,960,920,860,895,869,943,998,983,968,973,953,999,990,995,871,853,979,973,963,953,938,997,989,993,964,960,973,946,975,1000,962,920,746,989,957,904,965,920,979,966,961,1000,993,975,952,846,971,991,979,985,969,984,973,956,1000,952,778,983,974,956,927,995,997,980,997,1000,970,960,970,988,983,947,904,935,972,1000,863,992,996,932,967\n",
"999,989,993,969,999\n",
"01,02,03\n",
"410,32\n",
"684,699,429,694,956,812,594,070,937,764\n",
"744,359,230,576,944,442\n",
"5\n",
"7\n",
"598,415,246,827,646,476,969,864,437,448,257,764,719,639,465,046,649,734,048,646\n",
"51,1,6,42,3\n",
"826,747,849,786,437\n",
"907,342,355\n",
"500\n",
"4,4,21,6,5,3,13,2,6,1,3,4,1,3,1,9,11,1,6,17,4,5,20,4,1,9,6,11,3,4,14,1,3,3,1,4,3,5,27,1,1,2,10,7,11,4,19,7,11,6,11,13,3,1,10,7,2,1,16,1,9,4,29,13,2,12,24,2,21,1,9,8,26,12,12,5,2,14,7,8,8,8,9,4,12,2,6,6,7,16,8,14,2,10,20,15,3,7,4\n",
"996,999,983,999,999\n",
"114,24\n",
"244,449,686,032,953,457\n",
"54\n",
"566,415,246,827,646,476,969,864,437,448,257,784,719,939,465,046,649,734,048,746\n",
"3,14,6,1,16\n",
"557,253,309\n",
"419\n",
"01,11,03\n",
"684,699,429,694,856,911,594,270,937,764\n",
"22\n",
"0001,999,989,999,999,599,699,189,988,0001,0101,699,0001,789,299,979,0001,999,999,299,489,0001,399,699,0001,989,489,899,999,699\n",
"966,415,246,824,646,476,969,864,437,448,257,784,719,939,465,046,645,737,048,646\n",
"684,699,429,694,855,911,594,170,837,764\n",
"104\n",
"553,252,690\n",
"684,699,429,694,856,911,594,170,837,763\n",
"36\n",
"566,415,246,824,646,476,969,864,437,448,257,784,718,939,465,046,649,737,048,646\n",
"555,230,629\n",
"684,699,429,094,856,911,594,176,837,764\n",
"84\n",
"906,032,545\n"
],
"output": [
"10,20,30",
"1-3",
"1-3,6",
"32,511",
"170,429,594,684,694,698,764,812,937,956",
"230,359,442,586,744,944",
"37",
"979,981,983-984,987,989,992-993,995-996,998-1000",
"1000",
"2",
"1,4-5,7-8,10,12-13,19,22-25,27-28,31-33,36,38,44,48,50,53,57-59,71,78,80,83,86,90,93,101,118,128,134",
"437,468,487,514,564,640,642,646,674,695,728,734,752,840,844,917,936,946,969",
"1,4,6,15,24",
"303,401,764,872",
"1-12,14-18,20-21,24-25,27-29,31,33-42,46,48-50,54,58-59,61,63,67,70,72,75,77,80,82-83,87,93,99,103,107-108,115-116,120,131,146,149,197",
"1-3,6-7,9-10,13-15,17-28,30-33,43,45,47,50-51,54,57-63,68,70-72,75,77,84-86,90-91,93,95,107,111,116-117,122,131-133,138,140,148,156,160,163,166,175,199,208,249,267,286,479",
"997-1000",
"642,686,709,714,722,726,749,755,773,786,788,806,819,826,828,837,840,851-852,855-856,860,862,867,869,871,874,884,886-888,896,898-899,901,903-904,907-909,914,916,921,928,931,934,936,939,943,945,947-949,951-952,955,960-961,964-965,967-973,975-976,978-981,983,985-986,990,994",
"437,687,747,826,849",
"355,452,907",
"999",
"1-17,19-21,26-27,29",
"746,778,815,846,853,860,863,869,871-872,877,895,904,920-921,927,932,935-936,938,943,946-947,950,952-953,956-957,960-975,978-980,983-986,988-1000",
"3,9,15,20,22,26,40,74,81,103,109,111,126,145-146,158,175,184,229,279-280,318-319,336,347,361,373,381,385,392,397,399,418,435,438,446,450,455,481,488,492,496,506,513,521,530,549,557,570,572-573,577,585,593,596,604,623,643,646-647,654,657,682,708,711-713,719,732,761,778,780,782-783,788,791,809,812,820,827,840,871,876,890-891,895,899-900,907,916,975,990,996",
"969,993,999",
"1",
"32,411\n",
"170,429,594,684,694,699,764,812,937,956\n",
"32,244,447,449,685,953\n",
"19\n",
"1,189,299,389,399,489,599,699,789,899,979,989,999\n",
"3\n",
"46,48,246,257,415,437,448,465,476,596,639,646,649,719,734,784,827,864,969\n",
"1,3,6,15,24\n",
"1-3,6-7,9-10,13-15,17-28,30-33,43,45,47,50-51,54,57-63,70-72,75,77-78,84-86,90-91,93,95,107,111,116-117,122,131-133,138,140,148,156,160,163,166,175,199,208,249,267,286,479\n",
"628,734,747,786,948\n",
"352,355,907\n",
"550\n",
"1-17,19-21,26-27,29\n",
"3,9,15,20,22,26,40,74,81,103,111,118,126,145-146,175,184,229,279-280,318-319,336,347,361,373,381,385,392,397,399,418,435,438,446,450,455,481,488,492,496,506,509,513,521,530,549,557,570,572-573,577,585,593,596,604,623,643,646-647,654,657,682,708,711-713,719,732,761,778,780,782-783,788,791,809,812,820,827,840,871,876,890-891,895,899-900,907,916,975,990,996\n",
"969,983,999\n",
"10,30\n",
"32,114\n",
"170,429,594,684,694,699,764,811,937,956\n",
"32,244,449,457,685,953\n",
"30\n",
"1,189,299,399,489,599,699,789,899,979,989,999\n",
"46,48,246,257,415,437,448,465,476,566,646,649,719,734,784,827,864,939,969\n",
"1,3,6,16,24\n",
"253,553,709\n",
"730\n",
"1,3\n",
"42,114\n",
"170,429,594,684,694,699,764,856,911,937\n",
"43\n",
"1,101,189,299,399,489,599,699,789,899,979,989,999\n",
"46,48,246,257,415,437,448,465,476,566,646,649,719,737,784,824,864,939,969\n",
"253,553,609\n",
"1,13\n",
"170,429,594,684,694,699,764,837,856,911\n",
"78\n",
"1,101,189,299,399,489,699,789,899,979,989,999\n",
"428,468,487,514,564,640,642,646,665,674,734,737,752,840,844,917,939,946,969\n",
"252,553,609\n",
"71,119,467,486,495-496,658,738,924,996\n",
"85\n",
"428,468,487,514,564,640,642,646,665,674,734,737,752,817,840,844,939,946,969\n",
"232,555,609\n",
"119,467,486,490,495,658,671,738,924,996\n",
"99\n",
"232,545,609\n",
"119,467,486,490,495,658,672,738,924,996\n",
"61\n",
"232,545,906\n",
"94,276,429,594,684,699,764,837,856,911\n",
"93\n",
"132,545,906\n",
"49\n",
"231,545,609\n",
"97\n",
"231,546,609\n",
"31,511\n",
"160,429,594,684,694,698,764,812,937,956\n",
"234,359,442,586,744,940\n",
"69\n",
"437,468,514,564,587,640,642,646,674,695,728,734,752,840,844,917,936,946,969\n",
"1,799,899,999\n",
"48,68-69,79,89,99,109,129,139,158-159,169,178-179,189,227,246,258-259,268,279,309,349,377,379,389,409,417,419,439,469,478,488,499,549,557-559,569,579,589,608,619,627-628,639,658,679,686-689,698,709,738,749,768-769,788,809,828-829,849,869,879,887-888,898,907,909,918,939,947,949,968-969,979,998\n",
"355,453,907\n",
"746,778,815,846,853,860,863,869,871-872,877,895,904,920,927,932,935-936,938,943,946-947,950,952-953,956-957,960-975,978-980,983-986,988-1000\n",
"969,989,993,999\n",
"1-3\n",
"32,410\n",
"70,429,594,684,694,699,764,812,937,956\n",
"230,359,442,576,744,944\n",
"5\n",
"7\n",
"46,48,246,257,415,437,448,465,476,598,639,646,649,719,734,764,827,864,969\n",
"1,3,6,42,51\n",
"437,747,786,826,849\n",
"342,355,907\n",
"500\n",
"1-17,19-21,24,26-27,29\n",
"983,996,999\n",
"24,114\n",
"32,244,449,457,686,953\n",
"54\n",
"46,48,246,257,415,437,448,465,476,566,646,649,719,734,746,784,827,864,939,969\n",
"1,3,6,14,16\n",
"253,309,557\n",
"419\n",
"1,3,11\n",
"270,429,594,684,694,699,764,856,911,937\n",
"22\n",
"1,101,189,299,399,489,599,699,789,899,979,988-989,999\n",
"46,48,246,257,415,437,448,465,476,645-646,719,737,784,824,864,939,966,969\n",
"170,429,594,684,694,699,764,837,855,911\n",
"104\n",
"252,553,690\n",
"170,429,594,684,694,699,763,837,856,911\n",
"36\n",
"46,48,246,257,415,437,448,465,476,566,646,649,718,737,784,824,864,939,969\n",
"230,555,629\n",
"94,176,429,594,684,699,764,837,856,911\n",
"84\n",
"32,545,906\n"
]
} | 2CODEFORCES
|
34_C. Page Numbers_38258 | «Bersoft» company is working on a new version of its most popular text editor — Bord 2010. Bord, like many other text editors, should be able to print out multipage documents. A user keys a sequence of the document page numbers that he wants to print out (separates them with a comma, without spaces).
Your task is to write a part of the program, responsible for «standardization» of this sequence. Your program gets the sequence, keyed by the user, as input. The program should output this sequence in format l1-r1,l2-r2,...,lk-rk, where ri + 1 < li + 1 for all i from 1 to k - 1, and li ≤ ri. The new sequence should contain all the page numbers, keyed by the user, and nothing else. If some page number appears in the input sequence several times, its appearances, starting from the second one, should be ignored. If for some element i from the new sequence li = ri, this element should be output as li, and not as «li - li».
For example, sequence 1,2,3,1,1,2,6,6,2 should be output as 1-3,6.
Input
The only line contains the sequence, keyed by the user. The sequence contains at least one and at most 100 positive integer numbers. It's guaranteed, that this sequence consists of positive integer numbers, not exceeding 1000, separated with a comma, doesn't contain any other characters, apart from digits and commas, can't end with a comma, and the numbers don't contain leading zeroes. Also it doesn't start with a comma or contain more than one comma in a row.
Output
Output the sequence in the required format.
Examples
Input
1,2,3,1,1,2,6,6,2
Output
1-3,6
Input
3,2,1
Output
1-3
Input
30,20,10
Output
10,20,30 | import java.io.BufferedInputStream;
import java.util.ArrayList;
import java.util.Collections;
import java.util.Iterator;
import java.util.Scanner;
public class PageNumbers { //Round #34 - Page Numbers
public static void main(String[] args) {
Scanner sc = new Scanner(new BufferedInputStream(System.in));
String input = sc.next();
String[] splitted = input.split(",");
ArrayList<Integer> numbers = new ArrayList<Integer>();
for(int i = 0; i < splitted.length; i++) {
numbers.add(Integer.valueOf(splitted[i]));
}
Collections.sort(numbers);
//Remove duplicates
int previousNum, num = Integer.MIN_VALUE;
for(Iterator<Integer> it = numbers.iterator(); it.hasNext(); ) {
previousNum = num;
num = it.next();
if(num == previousNum) {
it.remove();
}
}
StringBuilder sb = new StringBuilder();
int sequenceStartPos = 0;
for(int i = 1; i < numbers.size(); i++) {
if(numbers.get(i) != numbers.get(i - 1) + 1) {
if(sequenceStartPos == i - 1) {
sb.append(numbers.get(i - 1) + ",");
} else {
sb.append(numbers.get(sequenceStartPos) + "-" + numbers.get(i - 1) + ",");
}
sequenceStartPos = i;
} else if(i == numbers.size() - 1) {
sb.append(numbers.get(sequenceStartPos) + "-" + numbers.get(i) + ",");
}
}
//Handle last number and when we only have one number in the array
if(sequenceStartPos == numbers.size() - 1) {
sb.append(numbers.get(sequenceStartPos));
}
//Handle the case where the whole array is a sequence
if(sb.length() == 0) {
sb.append(numbers.get(0) + "-" + numbers.get(numbers.size() - 1));
}
if(sb.toString().endsWith(",")) {
System.out.println(sb.substring(0, sb.length() - 1));
} else {
System.out.println(sb);
}
}
}
| 4JAVA
| {
"input": [
"30,20,10\n",
"3,2,1\n",
"1,2,3,1,1,2,6,6,2\n",
"511,32\n",
"684,698,429,694,956,812,594,170,937,764\n",
"744,359,230,586,944,442\n",
"37\n",
"996,999,998,984,989,1000,996,993,1000,983,992,999,999,1000,979,992,987,1000,996,1000,1000,989,981,996,995,999,999,989,999,1000\n",
"1000\n",
"2\n",
"93,27,28,4,5,78,59,24,19,134,31,128,118,36,90,32,32,1,44,32,33,13,31,10,12,25,38,50,25,12,4,22,28,53,48,83,4,25,57,31,71,24,8,7,28,86,23,80,101,58\n",
"646,840,437,946,640,564,936,917,487,752,844,734,468,969,674,646,728,642,514,695\n",
"4,24,6,1,15\n",
"303,872,764,401\n",
"48,108,63,21,27,8,49,21,75,8,24,42,149,18,8,28,21,18,25,35,59,70,59,33,40,1,67,34,120,82,4,115,72,87,3,15,15,63,37,12,40,27,83,14,38,20,14,58,93,10,31,3,39,6,197,77,54,16,31,146,9,49,14,8,77,82,5,11,80,116,8,61,50,24,7,103,29,11,3,3,1,12,46,24,21,131,39,29,36,2,107,40,16,99,31,41,29,48,17,17\n",
"31,75,86,68,111,27,22,22,26,30,54,163,107,75,160,122,14,23,17,26,27,20,43,58,59,71,21,148,9,32,43,91,133,286,132,70,90,156,84,14,77,93,23,18,13,72,18,131,33,28,72,175,30,86,249,20,14,208,28,57,63,199,6,10,24,30,62,267,43,479,60,28,138,1,45,3,19,47,7,166,116,117,50,140,28,14,95,85,93,43,61,15,2,70,10,51,7,95,9,25\n",
"1000,1000,1000,1000,1000,998,998,1000,1000,1000,1000,999,999,1000,1000,1000,999,1000,997,999,997,1000,999,998,1000,999,1000,1000,1000,999,1000,999,999,1000,1000,999,1000,999,1000,1000,998,1000,1000,1000,998,998,1000,1000,999,1000,1000,1000,1000,1000,1000,1000,998,1000,1000,1000,999,1000,1000,999,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,998,1000,1000,1000,998,1000,1000,998,1000,999,1000,1000,1000,1000\n",
"896,898,967,979,973,709,961,968,806,967,896,967,826,975,936,903,986,856,851,931,852,971,786,837,949,978,686,936,952,909,965,749,908,916,943,973,983,975,939,886,964,928,960,976,907,788,994,773,949,871,947,980,945,985,726,981,887,943,907,990,931,874,840,867,948,951,961,904,888,901,976,967,994,921,828,970,972,722,755,970,860,855,914,869,714,899,969,978,898,862,642,939,904,936,819,934,884,983,955,964\n",
"826,747,849,687,437\n",
"907,452,355\n",
"999\n",
"4,4,21,6,5,3,13,2,6,1,3,4,1,3,1,9,11,1,6,17,4,5,20,4,1,9,5,11,3,4,14,1,3,3,1,4,3,5,27,1,1,2,10,7,11,4,19,7,11,6,11,13,3,1,10,7,2,1,16,1,9,4,29,13,2,12,14,2,21,1,9,8,26,12,12,5,2,14,7,8,8,8,9,4,12,2,6,6,7,16,8,14,2,10,20,15,3,7,4\n",
"994,927,872,970,815,986,952,996,965,1000,877,986,978,999,950,990,936,997,993,960,921,860,895,869,943,998,983,968,973,953,999,990,995,871,853,979,973,963,953,938,997,989,993,964,960,973,946,975,1000,962,920,746,989,957,904,965,920,979,966,961,1000,993,975,952,846,971,991,979,985,969,984,973,956,1000,952,778,983,974,956,927,995,997,980,997,1000,970,960,970,988,983,947,904,935,972,1000,863,992,996,932,967\n",
"713,572,318,890,577,657,646,146,373,783,392,229,455,871,20,593,573,336,26,381,280,916,907,732,820,713,111,840,570,446,184,711,481,399,788,647,492,15,40,530,549,506,719,782,126,20,778,996,712,761,9,74,812,418,488,175,103,585,900,3,604,521,109,513,145,708,990,361,682,827,791,22,596,780,596,385,450,643,158,496,876,975,319,783,654,895,891,361,397,81,682,899,347,623,809,557,435,279,513,438\n",
"999,999,993,969,999\n",
"1\n",
"411,32\n",
"684,699,429,694,956,812,594,170,937,764\n",
"244,449,685,032,953,447\n",
"19\n",
"0001,999,989,999,999,599,699,189,989,0001,0001,699,0001,789,299,979,0001,999,999,299,389,0001,399,699,0001,989,489,899,999,699\n",
"3\n",
"596,415,246,827,646,476,969,864,437,448,257,784,719,639,465,046,649,734,048,646\n",
"3,24,6,1,15\n",
"31,75,86,78,111,27,22,22,26,30,54,163,107,75,160,122,14,23,17,26,27,20,43,58,59,71,21,148,9,32,43,91,133,286,132,70,90,156,84,14,77,93,23,18,13,72,18,131,33,28,72,175,30,86,249,20,14,208,28,57,63,199,6,10,24,30,62,267,43,479,60,28,138,1,45,3,19,47,7,166,116,117,50,140,28,14,95,85,93,43,61,15,2,70,10,51,7,95,9,25\n",
"734,786,948,747,628\n",
"907,352,355\n",
"550\n",
"4,4,21,6,5,3,13,2,6,1,3,4,1,3,1,9,11,1,6,17,4,5,20,4,1,9,6,11,3,4,14,1,3,3,1,4,3,5,27,1,1,2,10,7,11,4,19,7,11,6,11,13,3,1,10,7,2,1,16,1,9,4,29,13,2,12,14,2,21,1,9,8,26,12,12,5,2,14,7,8,8,8,9,4,12,2,6,6,7,16,8,14,2,10,20,15,3,7,4\n",
"713,572,318,890,577,657,646,146,373,783,392,229,455,871,20,593,573,336,26,381,280,916,907,732,820,713,111,840,570,446,184,711,481,399,788,647,492,15,40,530,549,506,719,782,126,20,778,996,712,761,9,74,812,418,488,175,103,585,900,3,604,521,509,513,145,708,990,361,682,827,791,22,596,780,596,385,450,643,118,496,876,975,319,783,654,895,891,361,397,81,682,899,347,623,809,557,435,279,513,438\n",
"999,999,983,969,999\n",
"30,10,10\n",
"114,32\n",
"684,699,429,694,956,811,594,170,937,764\n",
"244,449,685,032,953,457\n",
"30\n",
"0001,999,989,999,999,599,699,189,989,0001,0001,699,0001,789,299,979,0001,999,999,299,489,0001,399,699,0001,989,489,899,999,699\n",
"566,415,246,827,646,476,969,864,437,448,257,784,719,939,465,046,649,734,048,646\n",
"3,24,6,1,16\n",
"553,253,709\n",
"730\n",
"01,01,03\n",
"114,42\n",
"684,699,429,694,856,911,594,170,937,764\n",
"43\n",
"0001,999,989,999,999,599,699,189,989,0001,0101,699,0001,789,299,979,0001,999,999,299,489,0001,399,699,0001,989,489,899,999,699\n",
"566,415,246,824,646,476,969,864,437,448,257,784,719,939,465,046,649,737,048,646\n",
"553,253,609\n",
"01,01,13\n",
"684,699,429,694,856,911,594,170,837,764\n",
"78\n",
"0001,999,989,999,999,699,699,189,989,0001,0101,699,0001,789,299,979,0001,999,999,299,489,0001,399,699,0001,989,489,899,999,699\n",
"646,840,737,946,640,564,939,917,487,752,844,734,468,969,674,646,428,642,514,665\n",
"553,252,609\n",
"467,738,071,495,119,658,496,924,996,486\n",
"85\n",
"646,840,737,946,640,564,939,817,487,752,844,734,468,969,674,646,428,642,514,665\n",
"555,232,609\n",
"467,738,671,495,119,658,490,924,996,486\n",
"99\n",
"545,232,609\n",
"467,738,672,495,119,658,490,924,996,486\n",
"61\n",
"906,232,545\n",
"684,699,429,094,856,911,594,276,837,764\n",
"93\n",
"906,132,545\n",
"49\n",
"545,231,609\n",
"97\n",
"546,231,609\n",
"511,31\n",
"684,698,429,694,956,812,594,160,937,764\n",
"744,359,234,586,940,442\n",
"69\n",
"646,840,437,946,640,564,936,917,587,752,844,734,468,969,674,646,728,642,514,695\n",
"0001,0001,0001,0001,999,0001,899,0001,0001,899,0001,0001,0001,899,0001,0001,0001,0001,0001,0001,0001,0001,0001,0001,999,0001,0001,999,0001,0001,0001,899,0001,0001,0001,0001,0001,0001,0001,999,0001,0001,899,899,0001,0001,0001,899,0001,0001,999,0001,999,0001,0001,999,999,0001,999,0001,0001,0001,999,0001,899,999,0001,799,999,799,0001,999,0001,0001,0001,999,999,0001,0001,0001,0001,899,899,0001,0001,0001,0001,0001\n",
"469,559,389,488,439,918,639,409,939,246,268,898,879,969,998,417,968,419,558,068,079,557,227,279,079,828,129,499,769,679,109,888,409,169,159,849,768,048,478,139,099,709,349,788,189,627,589,549,089,749,178,949,377,499,887,709,679,069,829,469,688,939,579,389,379,349,619,809,947,569,909,259,639,686,879,949,738,687,179,258,139,158,658,689,309,639,579,628,769,698,769,608,869,169,907,379,979,769,898,698\n",
"907,453,355\n",
"994,927,872,970,815,986,952,996,965,1000,877,986,978,999,950,990,936,997,993,960,920,860,895,869,943,998,983,968,973,953,999,990,995,871,853,979,973,963,953,938,997,989,993,964,960,973,946,975,1000,962,920,746,989,957,904,965,920,979,966,961,1000,993,975,952,846,971,991,979,985,969,984,973,956,1000,952,778,983,974,956,927,995,997,980,997,1000,970,960,970,988,983,947,904,935,972,1000,863,992,996,932,967\n",
"999,989,993,969,999\n",
"01,02,03\n",
"410,32\n",
"684,699,429,694,956,812,594,070,937,764\n",
"744,359,230,576,944,442\n",
"5\n",
"7\n",
"598,415,246,827,646,476,969,864,437,448,257,764,719,639,465,046,649,734,048,646\n",
"51,1,6,42,3\n",
"826,747,849,786,437\n",
"907,342,355\n",
"500\n",
"4,4,21,6,5,3,13,2,6,1,3,4,1,3,1,9,11,1,6,17,4,5,20,4,1,9,6,11,3,4,14,1,3,3,1,4,3,5,27,1,1,2,10,7,11,4,19,7,11,6,11,13,3,1,10,7,2,1,16,1,9,4,29,13,2,12,24,2,21,1,9,8,26,12,12,5,2,14,7,8,8,8,9,4,12,2,6,6,7,16,8,14,2,10,20,15,3,7,4\n",
"996,999,983,999,999\n",
"114,24\n",
"244,449,686,032,953,457\n",
"54\n",
"566,415,246,827,646,476,969,864,437,448,257,784,719,939,465,046,649,734,048,746\n",
"3,14,6,1,16\n",
"557,253,309\n",
"419\n",
"01,11,03\n",
"684,699,429,694,856,911,594,270,937,764\n",
"22\n",
"0001,999,989,999,999,599,699,189,988,0001,0101,699,0001,789,299,979,0001,999,999,299,489,0001,399,699,0001,989,489,899,999,699\n",
"966,415,246,824,646,476,969,864,437,448,257,784,719,939,465,046,645,737,048,646\n",
"684,699,429,694,855,911,594,170,837,764\n",
"104\n",
"553,252,690\n",
"684,699,429,694,856,911,594,170,837,763\n",
"36\n",
"566,415,246,824,646,476,969,864,437,448,257,784,718,939,465,046,649,737,048,646\n",
"555,230,629\n",
"684,699,429,094,856,911,594,176,837,764\n",
"84\n",
"906,032,545\n"
],
"output": [
"10,20,30",
"1-3",
"1-3,6",
"32,511",
"170,429,594,684,694,698,764,812,937,956",
"230,359,442,586,744,944",
"37",
"979,981,983-984,987,989,992-993,995-996,998-1000",
"1000",
"2",
"1,4-5,7-8,10,12-13,19,22-25,27-28,31-33,36,38,44,48,50,53,57-59,71,78,80,83,86,90,93,101,118,128,134",
"437,468,487,514,564,640,642,646,674,695,728,734,752,840,844,917,936,946,969",
"1,4,6,15,24",
"303,401,764,872",
"1-12,14-18,20-21,24-25,27-29,31,33-42,46,48-50,54,58-59,61,63,67,70,72,75,77,80,82-83,87,93,99,103,107-108,115-116,120,131,146,149,197",
"1-3,6-7,9-10,13-15,17-28,30-33,43,45,47,50-51,54,57-63,68,70-72,75,77,84-86,90-91,93,95,107,111,116-117,122,131-133,138,140,148,156,160,163,166,175,199,208,249,267,286,479",
"997-1000",
"642,686,709,714,722,726,749,755,773,786,788,806,819,826,828,837,840,851-852,855-856,860,862,867,869,871,874,884,886-888,896,898-899,901,903-904,907-909,914,916,921,928,931,934,936,939,943,945,947-949,951-952,955,960-961,964-965,967-973,975-976,978-981,983,985-986,990,994",
"437,687,747,826,849",
"355,452,907",
"999",
"1-17,19-21,26-27,29",
"746,778,815,846,853,860,863,869,871-872,877,895,904,920-921,927,932,935-936,938,943,946-947,950,952-953,956-957,960-975,978-980,983-986,988-1000",
"3,9,15,20,22,26,40,74,81,103,109,111,126,145-146,158,175,184,229,279-280,318-319,336,347,361,373,381,385,392,397,399,418,435,438,446,450,455,481,488,492,496,506,513,521,530,549,557,570,572-573,577,585,593,596,604,623,643,646-647,654,657,682,708,711-713,719,732,761,778,780,782-783,788,791,809,812,820,827,840,871,876,890-891,895,899-900,907,916,975,990,996",
"969,993,999",
"1",
"32,411\n",
"170,429,594,684,694,699,764,812,937,956\n",
"32,244,447,449,685,953\n",
"19\n",
"1,189,299,389,399,489,599,699,789,899,979,989,999\n",
"3\n",
"46,48,246,257,415,437,448,465,476,596,639,646,649,719,734,784,827,864,969\n",
"1,3,6,15,24\n",
"1-3,6-7,9-10,13-15,17-28,30-33,43,45,47,50-51,54,57-63,70-72,75,77-78,84-86,90-91,93,95,107,111,116-117,122,131-133,138,140,148,156,160,163,166,175,199,208,249,267,286,479\n",
"628,734,747,786,948\n",
"352,355,907\n",
"550\n",
"1-17,19-21,26-27,29\n",
"3,9,15,20,22,26,40,74,81,103,111,118,126,145-146,175,184,229,279-280,318-319,336,347,361,373,381,385,392,397,399,418,435,438,446,450,455,481,488,492,496,506,509,513,521,530,549,557,570,572-573,577,585,593,596,604,623,643,646-647,654,657,682,708,711-713,719,732,761,778,780,782-783,788,791,809,812,820,827,840,871,876,890-891,895,899-900,907,916,975,990,996\n",
"969,983,999\n",
"10,30\n",
"32,114\n",
"170,429,594,684,694,699,764,811,937,956\n",
"32,244,449,457,685,953\n",
"30\n",
"1,189,299,399,489,599,699,789,899,979,989,999\n",
"46,48,246,257,415,437,448,465,476,566,646,649,719,734,784,827,864,939,969\n",
"1,3,6,16,24\n",
"253,553,709\n",
"730\n",
"1,3\n",
"42,114\n",
"170,429,594,684,694,699,764,856,911,937\n",
"43\n",
"1,101,189,299,399,489,599,699,789,899,979,989,999\n",
"46,48,246,257,415,437,448,465,476,566,646,649,719,737,784,824,864,939,969\n",
"253,553,609\n",
"1,13\n",
"170,429,594,684,694,699,764,837,856,911\n",
"78\n",
"1,101,189,299,399,489,699,789,899,979,989,999\n",
"428,468,487,514,564,640,642,646,665,674,734,737,752,840,844,917,939,946,969\n",
"252,553,609\n",
"71,119,467,486,495-496,658,738,924,996\n",
"85\n",
"428,468,487,514,564,640,642,646,665,674,734,737,752,817,840,844,939,946,969\n",
"232,555,609\n",
"119,467,486,490,495,658,671,738,924,996\n",
"99\n",
"232,545,609\n",
"119,467,486,490,495,658,672,738,924,996\n",
"61\n",
"232,545,906\n",
"94,276,429,594,684,699,764,837,856,911\n",
"93\n",
"132,545,906\n",
"49\n",
"231,545,609\n",
"97\n",
"231,546,609\n",
"31,511\n",
"160,429,594,684,694,698,764,812,937,956\n",
"234,359,442,586,744,940\n",
"69\n",
"437,468,514,564,587,640,642,646,674,695,728,734,752,840,844,917,936,946,969\n",
"1,799,899,999\n",
"48,68-69,79,89,99,109,129,139,158-159,169,178-179,189,227,246,258-259,268,279,309,349,377,379,389,409,417,419,439,469,478,488,499,549,557-559,569,579,589,608,619,627-628,639,658,679,686-689,698,709,738,749,768-769,788,809,828-829,849,869,879,887-888,898,907,909,918,939,947,949,968-969,979,998\n",
"355,453,907\n",
"746,778,815,846,853,860,863,869,871-872,877,895,904,920,927,932,935-936,938,943,946-947,950,952-953,956-957,960-975,978-980,983-986,988-1000\n",
"969,989,993,999\n",
"1-3\n",
"32,410\n",
"70,429,594,684,694,699,764,812,937,956\n",
"230,359,442,576,744,944\n",
"5\n",
"7\n",
"46,48,246,257,415,437,448,465,476,598,639,646,649,719,734,764,827,864,969\n",
"1,3,6,42,51\n",
"437,747,786,826,849\n",
"342,355,907\n",
"500\n",
"1-17,19-21,24,26-27,29\n",
"983,996,999\n",
"24,114\n",
"32,244,449,457,686,953\n",
"54\n",
"46,48,246,257,415,437,448,465,476,566,646,649,719,734,746,784,827,864,939,969\n",
"1,3,6,14,16\n",
"253,309,557\n",
"419\n",
"1,3,11\n",
"270,429,594,684,694,699,764,856,911,937\n",
"22\n",
"1,101,189,299,399,489,599,699,789,899,979,988-989,999\n",
"46,48,246,257,415,437,448,465,476,645-646,719,737,784,824,864,939,966,969\n",
"170,429,594,684,694,699,764,837,855,911\n",
"104\n",
"252,553,690\n",
"170,429,594,684,694,699,763,837,856,911\n",
"36\n",
"46,48,246,257,415,437,448,465,476,566,646,649,718,737,784,824,864,939,969\n",
"230,555,629\n",
"94,176,429,594,684,699,764,837,856,911\n",
"84\n",
"32,545,906\n"
]
} | 2CODEFORCES
|
373_D. Counting Rectangles is Fun_38259 | There is an n × m rectangular grid, each cell of the grid contains a single integer: zero or one. Let's call the cell on the i-th row and the j-th column as (i, j).
Let's define a "rectangle" as four integers a, b, c, d (1 ≤ a ≤ c ≤ n; 1 ≤ b ≤ d ≤ m). Rectangle denotes a set of cells of the grid {(x, y) : a ≤ x ≤ c, b ≤ y ≤ d}. Let's define a "good rectangle" as a rectangle that includes only the cells with zeros.
You should answer the following q queries: calculate the number of good rectangles all of which cells are in the given rectangle.
Input
There are three integers in the first line: n, m and q (1 ≤ n, m ≤ 40, 1 ≤ q ≤ 3·105). Each of the next n lines contains m characters — the grid. Consider grid rows are numbered from top to bottom, and grid columns are numbered from left to right. Both columns and rows are numbered starting from 1.
Each of the next q lines contains a query — four integers that describe the current rectangle, a, b, c, d (1 ≤ a ≤ c ≤ n; 1 ≤ b ≤ d ≤ m).
Output
For each query output an answer — a single integer in a separate line.
Examples
Input
5 5 5
00101
00000
00001
01000
00001
1 2 2 4
4 5 4 5
1 2 5 2
2 2 4 5
4 2 5 3
Output
10
1
7
34
5
Input
4 7 5
0000100
0000010
0011000
0000000
1 7 2 7
3 1 3 1
2 3 4 5
1 2 2 7
2 2 4 7
Output
3
1
16
27
52
Note
For the first example, there is a 5 × 5 rectangular grid, and the first, the second, and the third queries are represented in the following image.
<image>
* For the first query, there are 10 good rectangles, five 1 × 1, two 2 × 1, two 1 × 2, and one 1 × 3.
* For the second query, there is only one 1 × 1 good rectangle.
* For the third query, there are 7 good rectangles, four 1 × 1, two 2 × 1, and one 3 × 1. | #include <bits/stdc++.h>
using namespace std;
bool a[41][41];
long long d[41][41][41][41];
long long cld[41][41][41][41];
int cldh[41][41][41][41];
int lines_x[41][41];
int lines_y[41][41];
void print(int w, int e, int n, int m) {
for (int i = 0; i < n; ++i) {
for (int j = 0; j < m; ++j) {
printf("%d ", d[w][e][i][j]);
}
printf("\n");
}
}
int main() {
int n, m, q;
scanf("%d %d %d\n", &n, &m, &q);
char ch;
for (int i = 0; i < n; ++i) {
for (int j = 0; j < m; ++j) {
scanf("%c", &(ch));
a[i][j] = ch == '0';
}
scanf("%c", &(ch));
}
for (int i = 0; i < n; ++i) {
lines_x[i][0] = a[i][0] ? 1 : 0;
for (int j = 1; j < m; ++j) {
if (!a[i][j])
lines_x[i][j] = 0;
else
lines_x[i][j] = lines_x[i][j - 1] + 1;
}
}
for (int j = 0; j < m; ++j) {
lines_y[0][j] = a[0][j] ? 1 : 0;
for (int i = 1; i < n; ++i) {
if (!a[i][j])
lines_y[i][j] = 0;
else
lines_y[i][j] = lines_y[i - 1][j] + 1;
}
}
for (int h = 0; h < n; ++h) {
for (int w = 0; w < m; ++w) {
for (int i = n - h - 1; i >= 0; --i) {
for (int j = m - w - 1; j >= 0; --j) {
if (h == 0 && w == 0) {
d[i][j][h][w] = a[i][j];
cld[i][j][h][w] = a[i][j];
cldh[i][j][h][w] = a[i][j];
} else {
long long c1 = h > 0 ? d[i][j][h - 1][w] : 0;
long long c2 = w > 0 ? d[i][j][h][w - 1] : 0;
long long c3 = w > 0 && h > 0 ? d[i][j][h - 1][w - 1] : 0;
if (!a[i + h][j + w]) {
d[i][j][h][w] = c1 + c2 - c3;
cld[i][j][h][w] = 0;
} else {
long long cy = max(min(lines_y[i + h][j + w] - 1, h), 0) + 1;
long long c4 = cy;
if (w > 0) {
if (cy < cldh[i][j][h][w - 1]) {
c4 += cld[i + h - cy + 1][j][cy - 1][w - 1];
} else
c4 += cld[i][j][h][w - 1];
}
cldh[i][j][h][w] = cy;
cld[i][j][h][w] = c4;
d[i][j][h][w] = c1 + c2 - c3 + c4;
}
}
}
}
}
}
int x1, y1, x2, y2;
for (int t = 0; t < q; ++t) {
scanf("%d %d %d %d", &x1, &y1, &x2, &y2);
x1 -= 1, y1 -= 1, x2 -= 1, y2 -= 1;
printf("%I64d\n", d[x1][y1][x2 - x1][y2 - y1]);
}
return 0;
}
| 2C++
| {
"input": [
"5 5 5\n00101\n00000\n00001\n01000\n00001\n1 2 2 4\n4 5 4 5\n1 2 5 2\n2 2 4 5\n4 2 5 3\n",
"4 7 5\n0000100\n0000010\n0011000\n0000000\n1 7 2 7\n3 1 3 1\n2 3 4 5\n1 2 2 7\n2 2 4 7\n",
"2 3 8\n000\n001\n1 1 2 2\n1 3 2 3\n2 2 2 3\n1 1 2 2\n2 3 2 3\n2 1 2 2\n1 2 1 3\n1 2 2 2\n",
"10 10 10\n0010001010\n0011011010\n0100001110\n0010100000\n0000100011\n0100000001\n0000010100\n1000000010\n0000010000\n0110010000\n1 1 4 6\n2 6 3 10\n1 6 3 9\n6 5 8 5\n2 3 6 8\n4 7 5 8\n3 1 9 5\n2 5 4 10\n2 3 3 6\n7 4 9 5\n",
"10 10 10\n0001000111\n1101000111\n1100101111\n1011101011\n1011110101\n1110101110\n1101101111\n1111111100\n0110101110\n1011101011\n6 3 7 9\n2 6 8 7\n9 7 10 8\n3 1 5 9\n1 6 9 10\n6 3 8 8\n1 6 9 10\n5 6 8 10\n8 8 10 8\n9 6 9 10\n",
"3 2 8\n01\n00\n00\n3 2 3 2\n1 1 2 1\n2 1 3 1\n2 2 3 2\n1 1 2 2\n1 1 1 2\n1 1 3 1\n1 1 2 2\n",
"10 10 10\n0010001010\n0011011010\n0100001110\n0010100000\n0000100111\n0100000001\n0000010100\n1000000010\n0000010000\n0110010000\n1 1 4 6\n2 6 3 10\n1 6 3 9\n6 5 8 5\n2 3 6 8\n4 7 5 8\n3 1 9 5\n2 5 4 10\n2 3 3 6\n7 4 9 5\n",
"5 5 5\n00101\n00000\n00001\n01000\n01001\n1 2 2 4\n4 5 4 5\n1 2 5 2\n2 2 4 5\n4 2 5 3\n",
"4 7 5\n0000100\n0000010\n0011000\n0000000\n1 7 2 7\n3 1 3 1\n2 5 4 5\n1 2 2 7\n2 2 4 7\n",
"4 7 5\n0000100\n0000010\n0011000\n0000000\n1 7 2 7\n3 1 3 1\n4 5 4 5\n1 2 2 7\n2 2 4 7\n",
"10 10 10\n0010001011\n0011011010\n0100001110\n0010100000\n0000100111\n0100000001\n0000010100\n1000000010\n0000010000\n0110010000\n1 1 4 6\n2 6 3 10\n1 6 3 9\n6 5 8 5\n2 3 6 8\n4 7 5 8\n3 2 9 5\n2 5 4 10\n2 3 3 6\n7 4 9 5\n",
"5 5 5\n00101\n00000\n00001\n01000\n01001\n1 2 2 4\n4 5 4 5\n1 2 4 2\n2 2 4 5\n3 2 5 3\n",
"4 7 5\n0000100\n0000010\n0011000\n0000100\n1 7 2 7\n3 1 3 1\n4 5 4 5\n1 2 2 7\n2 2 4 7\n",
"5 5 5\n00101\n00000\n00001\n01000\n01001\n1 2 2 4\n4 5 4 5\n2 2 4 2\n2 2 4 5\n3 2 5 3\n",
"2 3 8\n000\n001\n1 1 2 2\n1 3 2 3\n2 2 2 3\n1 1 2 2\n2 3 2 3\n2 1 2 2\n1 2 1 3\n1 2 2 3\n",
"10 10 10\n0010001010\n1011011010\n0100001110\n0010100000\n0000100011\n0100000001\n0000010100\n1000000010\n0000010000\n0110010000\n1 1 4 6\n2 6 3 10\n1 6 3 9\n6 5 8 5\n2 3 6 8\n4 7 5 8\n3 1 9 5\n2 5 4 10\n2 3 3 6\n7 4 9 5\n",
"10 10 10\n0001000111\n1101000111\n1100101111\n1011101011\n1011110101\n1110101110\n1101101111\n1111111100\n0110101110\n1011101011\n6 3 7 9\n2 6 8 7\n9 7 10 8\n3 1 5 9\n1 3 9 10\n6 3 8 8\n1 6 9 10\n5 6 8 10\n8 8 10 8\n9 6 9 10\n",
"5 5 5\n00101\n10000\n00001\n01000\n00001\n1 2 2 4\n4 5 4 5\n1 2 5 2\n2 2 4 5\n4 2 5 3\n",
"10 10 10\n0010001010\n0011011010\n0100001110\n0010100000\n0000100111\n0100000001\n0000010100\n1000000010\n0000010000\n0110010000\n1 1 4 6\n2 6 3 10\n1 6 3 9\n6 5 8 5\n2 3 6 8\n4 7 9 8\n3 1 9 5\n2 5 4 10\n2 3 3 6\n7 4 9 5\n",
"10 10 10\n0010001011\n0011011010\n0100001110\n0010100000\n0000100111\n0100000001\n0000010100\n1000000010\n0000010000\n0110010000\n1 1 4 6\n2 6 3 10\n1 6 3 9\n6 5 8 5\n2 3 6 8\n4 7 5 8\n3 1 5 5\n2 5 4 10\n2 3 3 6\n7 4 9 5\n",
"10 10 10\n0010001011\n0011011010\n0100001110\n0010100000\n0000100111\n0100000001\n0000010100\n1000000010\n0000010000\n0110010000\n1 1 4 6\n2 6 3 10\n1 6 3 9\n6 5 8 5\n2 3 6 8\n5 7 5 8\n3 2 9 5\n2 5 4 10\n2 3 3 6\n7 4 9 5\n",
"2 3 8\n000\n001\n1 1 2 2\n1 3 2 3\n2 2 2 3\n1 1 2 3\n2 3 2 3\n2 1 2 2\n1 2 1 3\n1 2 2 3\n",
"10 10 10\n0010001010\n1011011010\n0100001110\n0010100000\n0000100011\n0100000001\n0000010100\n1000000010\n0000010000\n0110010000\n1 1 4 6\n2 6 3 10\n1 6 3 9\n6 5 10 5\n2 3 6 8\n4 7 5 8\n3 1 9 5\n2 5 4 10\n2 3 3 6\n7 4 9 5\n",
"10 10 10\n0010001011\n0011011010\n0100001110\n0010100000\n0000100111\n0100000001\n0000010100\n1000000010\n0000010000\n0110010000\n1 1 4 6\n2 6 3 10\n1 6 3 9\n6 5 8 5\n2 3 6 8\n4 7 5 8\n3 1 5 5\n2 9 4 10\n2 3 3 6\n7 4 9 5\n",
"10 10 10\n0010001011\n0011011010\n0100000110\n0010100000\n0000100111\n0100000001\n0000010100\n1000000010\n0000010000\n0110010000\n1 1 4 6\n2 6 3 10\n1 6 3 9\n6 5 8 5\n2 3 6 8\n5 7 5 8\n3 2 9 5\n2 5 4 10\n2 3 3 6\n7 4 9 5\n",
"2 3 8\n000\n001\n1 1 2 2\n1 3 2 3\n2 2 2 3\n1 1 2 3\n2 1 2 3\n2 1 2 2\n1 2 1 3\n1 2 2 3\n",
"10 10 10\n0010001011\n0011011010\n0100001110\n0010100000\n0000100111\n0100000001\n0000010100\n1000000010\n0000010000\n0110010000\n1 1 4 6\n2 6 3 10\n1 6 3 9\n6 5 8 5\n2 3 6 8\n4 7 5 8\n3 1 5 5\n2 8 4 10\n2 3 3 6\n7 4 9 5\n",
"10 10 10\n0010001011\n0011011010\n0100001110\n0010100000\n0000100111\n0100000001\n0000010100\n1000000010\n0000010000\n0110010000\n1 1 4 6\n2 6 3 10\n1 6 3 9\n6 5 8 5\n2 1 6 8\n4 7 5 8\n3 1 5 5\n2 8 4 10\n2 3 3 6\n7 4 9 5\n",
"10 10 10\n0010001011\n0011011010\n0100001110\n0010100000\n0000100111\n1100000001\n0000010100\n1000000010\n0000010000\n0110010000\n1 1 4 6\n2 6 3 10\n1 6 3 9\n6 5 8 5\n2 1 6 8\n4 7 5 8\n3 1 5 5\n2 8 4 10\n2 3 3 6\n7 4 9 5\n",
"10 10 10\n0010001011\n0011011010\n0100001110\n0010000000\n0000100111\n1100000001\n0000010100\n1000000010\n0000010000\n0110010000\n1 1 4 6\n2 6 3 10\n1 6 3 9\n6 5 8 5\n2 1 6 8\n4 7 5 8\n3 1 5 5\n2 8 4 10\n2 3 3 6\n7 4 9 5\n",
"10 10 10\n0010001011\n0011011010\n0100001110\n0010000000\n0000100111\n1100000001\n0000010100\n1000000010\n0000010000\n0110010000\n1 1 4 6\n2 6 3 10\n1 6 3 9\n6 5 8 5\n2 1 6 8\n4 7 5 8\n3 1 5 2\n2 8 4 10\n2 3 3 6\n7 4 9 5\n",
"10 10 10\n0010001011\n0011011010\n0100001110\n0010000000\n0000100111\n1100000101\n0000010100\n1000000110\n0000010000\n0110010000\n1 1 4 6\n2 6 3 10\n1 6 3 9\n6 5 8 5\n2 1 6 8\n4 7 5 8\n3 1 5 2\n2 8 4 10\n2 3 3 6\n7 4 9 5\n",
"10 10 10\n0010001011\n0011001010\n0100001110\n0010000000\n0000100111\n1100000101\n0000010100\n1000000100\n0000010000\n0110010000\n1 1 4 6\n2 6 3 10\n1 6 3 9\n6 5 8 5\n2 1 6 8\n4 7 5 8\n3 1 5 2\n2 8 4 10\n2 3 3 6\n7 4 9 5\n",
"2 3 8\n100\n001\n1 1 2 2\n1 3 2 3\n2 2 2 3\n1 1 2 2\n2 3 2 3\n2 1 2 2\n1 2 1 3\n1 2 2 2\n",
"3 2 8\n01\n00\n00\n3 2 3 2\n1 1 2 1\n2 1 3 1\n2 2 3 2\n1 1 2 2\n1 1 1 1\n1 1 3 1\n1 1 2 2\n",
"4 7 5\n0000100\n0000010\n0011000\n0000000\n1 7 2 7\n3 1 3 1\n2 2 4 5\n1 2 2 7\n2 2 4 7\n",
"10 10 10\n0010001010\n0011011010\n0100001110\n0010100000\n0000100111\n0100000001\n0000010100\n1000000010\n0000010000\n0110010000\n1 1 4 6\n2 6 3 10\n1 6 3 9\n6 5 8 5\n2 3 6 8\n4 7 5 8\n3 1 9 5\n2 5 4 10\n2 3 3 6\n7 2 9 5\n",
"4 7 5\n0000100\n0000010\n0011000\n0010000\n1 7 2 7\n3 1 3 1\n2 5 4 5\n1 2 2 7\n2 2 4 7\n",
"10 10 10\n0010001011\n0011011010\n0100001110\n0010100000\n0000100111\n0100000001\n0000010100\n1000000010\n0000010000\n0110010000\n1 1 4 6\n2 6 3 10\n1 6 3 9\n6 5 8 5\n2 3 6 8\n4 7 5 8\n3 2 9 5\n2 5 4 10\n2 3 3 6\n7 4 9 8\n",
"4 7 5\n0000100\n0000010\n0011001\n0000000\n1 7 2 7\n3 1 3 1\n4 5 4 5\n1 2 2 7\n2 2 4 7\n",
"10 10 10\n0010001011\n0011001010\n0100001110\n0010100000\n0000100111\n0100000001\n0000010100\n1000000010\n0000010000\n0110010000\n1 1 4 6\n2 6 3 10\n1 6 3 9\n6 5 8 5\n2 3 6 8\n4 7 5 8\n3 2 9 5\n2 5 4 10\n2 3 3 6\n7 4 9 5\n",
"2 3 8\n000\n001\n1 1 2 2\n1 3 2 3\n2 3 2 3\n1 1 2 2\n2 3 2 3\n2 1 2 2\n1 2 1 3\n1 2 2 3\n",
"10 10 10\n0010001010\n1011011010\n0100001110\n0010100000\n0000100011\n0100000001\n0000010100\n1000000010\n0000010000\n0110010000\n1 1 4 6\n2 6 3 10\n1 6 3 9\n6 5 8 5\n2 3 6 8\n4 7 5 8\n3 1 9 5\n4 5 4 10\n2 3 3 6\n7 4 9 5\n",
"10 10 10\n0001000111\n1101000111\n1100101111\n1011101011\n1011110101\n1110101110\n1101101111\n1111111100\n0110101110\n1011101011\n7 3 7 9\n2 6 8 7\n9 7 10 8\n3 1 5 9\n1 3 9 10\n6 3 8 8\n1 6 9 10\n5 6 8 10\n8 8 10 8\n9 6 9 10\n",
"10 10 10\n0010001011\n0011011010\n0100001110\n0010100000\n0000100111\n0100000001\n0000010100\n1000000010\n0000010000\n0110010000\n1 1 4 5\n2 6 3 10\n1 6 3 9\n6 5 8 5\n2 3 6 8\n4 7 5 8\n3 1 5 5\n2 5 4 10\n2 3 3 6\n7 4 9 5\n",
"10 10 10\n0010001011\n0011011010\n0100001110\n0010100000\n0000100111\n0100000001\n0000010100\n1000000010\n0000010000\n0110010000\n1 1 4 6\n2 6 3 10\n1 6 3 9\n6 5 8 5\n2 3 6 8\n1 7 5 8\n3 2 9 5\n2 5 4 10\n2 3 3 6\n7 4 9 5\n",
"2 3 8\n000\n001\n1 1 2 2\n1 3 2 3\n2 2 2 3\n1 1 2 3\n2 3 2 3\n1 1 2 2\n1 2 1 3\n1 2 2 3\n",
"10 10 10\n0010001010\n1011011010\n0100001110\n0010100000\n0000100011\n0100000001\n0000010100\n1000000010\n0000010000\n0110010000\n1 1 4 6\n2 6 3 10\n1 6 3 9\n6 5 10 5\n2 3 6 8\n4 7 5 8\n3 1 9 5\n2 5 4 10\n2 3 3 6\n1 4 9 5\n",
"10 10 10\n0010001010\n0011011010\n0100001110\n0010100000\n0000100101\n0100000001\n0000010100\n1000000010\n0000010000\n0110010000\n1 1 4 6\n2 6 3 10\n1 6 3 9\n6 5 8 5\n2 3 5 8\n4 7 9 8\n3 1 9 5\n2 5 4 10\n2 3 3 6\n7 4 9 5\n",
"10 10 10\n0010001011\n0011011010\n0100001110\n0010100000\n0000100111\n0100000001\n0000010100\n1000000010\n0000010000\n0110010000\n1 1 4 6\n2 6 3 10\n1 6 3 9\n6 5 8 5\n2 3 6 8\n4 7 5 8\n3 1 9 5\n2 5 4 10\n2 3 3 6\n7 4 9 5\n",
"5 5 5\n00101\n00000\n00001\n01000\n01001\n1 2 2 4\n4 5 4 5\n1 2 4 2\n2 2 4 5\n4 2 5 3\n",
"5 5 5\n00101\n10000\n00001\n01000\n01001\n1 2 2 4\n4 5 4 5\n2 2 4 2\n2 2 4 5\n3 2 5 3\n",
"10 10 10\n0010001010\n0011011010\n0100001110\n0010100000\n0000100101\n0100000001\n0000010100\n1000000010\n0000010000\n0110010000\n1 1 4 6\n2 6 3 10\n1 6 3 9\n6 5 8 5\n2 3 6 8\n4 7 9 8\n3 1 9 5\n2 5 4 10\n2 3 3 6\n7 4 9 5\n",
"10 10 10\n0010001011\n0011011010\n0100001110\n0010000000\n0000100111\n1100000001\n0000010100\n1000000110\n0000010000\n0110010000\n1 1 4 6\n2 6 3 10\n1 6 3 9\n6 5 8 5\n2 1 6 8\n4 7 5 8\n3 1 5 2\n2 8 4 10\n2 3 3 6\n7 4 9 5\n",
"10 10 10\n0010001011\n0011011010\n0100001110\n0010000000\n0000100111\n1100000101\n0000010100\n1000000100\n0000010000\n0110010000\n1 1 4 6\n2 6 3 10\n1 6 3 9\n6 5 8 5\n2 1 6 8\n4 7 5 8\n3 1 5 2\n2 8 4 10\n2 3 3 6\n7 4 9 5\n",
"5 5 5\n00101\n00000\n00001\n01000\n01001\n1 2 2 4\n4 5 4 5\n1 2 4 2\n2 2 4 5\n4 3 5 3\n",
"5 5 5\n00101\n00000\n10001\n01000\n01001\n1 2 2 4\n4 5 4 5\n2 2 4 2\n2 2 4 5\n3 2 5 3\n"
],
"output": [
"10\n1\n7\n34\n5\n",
"3\n1\n16\n27\n52\n",
"9\n1\n1\n9\n0\n3\n3\n3\n",
"42\n5\n5\n6\n79\n9\n151\n27\n12\n18\n",
"5\n12\n1\n12\n29\n5\n29\n9\n1\n2\n",
"1\n3\n3\n3\n5\n1\n6\n5\n",
"42\n5\n5\n6\n67\n5\n151\n27\n12\n18\n",
"10\n1\n6\n34\n3\n",
"3\n1\n6\n27\n52\n",
"3\n1\n1\n27\n52\n",
"42\n5\n5\n6\n67\n5\n122\n27\n12\n18\n",
"10\n1\n6\n34\n8\n",
"3\n1\n0\n27\n36\n",
"10\n1\n3\n34\n8\n",
"9\n1\n1\n9\n0\n3\n3\n5\n",
"34\n5\n5\n6\n79\n9\n151\n27\n12\n18\n",
"5\n12\n1\n12\n49\n5\n29\n9\n1\n2\n",
"10\n1\n7\n34\n5\n",
"42\n5\n5\n6\n67\n31\n151\n27\n12\n18\n",
"42\n5\n5\n6\n67\n5\n29\n27\n12\n18\n",
"42\n5\n5\n6\n67\n1\n122\n27\n12\n18\n",
"9\n1\n1\n12\n0\n3\n3\n5\n",
"34\n5\n5\n15\n79\n9\n151\n27\n12\n18\n",
"42\n5\n5\n6\n67\n5\n29\n8\n12\n18\n",
"42\n7\n7\n6\n78\n1\n122\n32\n12\n18\n",
"9\n1\n1\n12\n3\n3\n3\n5\n",
"42\n5\n5\n6\n67\n5\n29\n12\n12\n18\n",
"42\n5\n5\n6\n94\n5\n29\n12\n12\n18\n",
"42\n5\n5\n6\n89\n5\n29\n12\n12\n18\n",
"52\n5\n5\n6\n102\n5\n33\n12\n12\n18\n",
"52\n5\n5\n6\n102\n5\n12\n12\n12\n18\n",
"52\n5\n5\n6\n96\n5\n12\n12\n12\n18\n",
"64\n7\n9\n6\n104\n5\n12\n12\n16\n18\n",
"5\n1\n1\n5\n0\n3\n3\n3\n",
"1\n3\n3\n3\n5\n1\n6\n5\n",
"3\n1\n28\n27\n52\n",
"42\n5\n5\n6\n67\n5\n151\n27\n12\n60\n",
"3\n1\n6\n27\n42\n",
"42\n5\n5\n6\n67\n5\n122\n27\n12\n39\n",
"3\n1\n1\n27\n44\n",
"52\n7\n9\n6\n74\n5\n122\n32\n16\n18\n",
"9\n1\n0\n9\n0\n3\n3\n5\n",
"34\n5\n5\n6\n79\n9\n151\n15\n12\n18\n",
"2\n12\n1\n12\n49\n5\n29\n9\n1\n2\n",
"33\n5\n5\n6\n67\n5\n29\n27\n12\n18\n",
"42\n5\n5\n6\n67\n8\n122\n27\n12\n18\n",
"9\n1\n1\n12\n0\n9\n3\n5\n",
"34\n5\n5\n15\n79\n9\n151\n27\n12\n57\n",
"42\n5\n5\n6\n34\n31\n151\n27\n12\n18\n",
"42\n5\n5\n6\n67\n5\n151\n27\n12\n18\n",
"10\n1\n6\n34\n3\n",
"10\n1\n3\n34\n8\n",
"42\n5\n5\n6\n67\n31\n151\n27\n12\n18\n",
"52\n5\n5\n6\n102\n5\n12\n12\n12\n18\n",
"52\n5\n5\n6\n96\n5\n12\n12\n12\n18\n",
"10\n1\n6\n34\n3\n",
"10\n1\n3\n34\n8\n"
]
} | 2CODEFORCES
|
373_D. Counting Rectangles is Fun_38260 | There is an n × m rectangular grid, each cell of the grid contains a single integer: zero or one. Let's call the cell on the i-th row and the j-th column as (i, j).
Let's define a "rectangle" as four integers a, b, c, d (1 ≤ a ≤ c ≤ n; 1 ≤ b ≤ d ≤ m). Rectangle denotes a set of cells of the grid {(x, y) : a ≤ x ≤ c, b ≤ y ≤ d}. Let's define a "good rectangle" as a rectangle that includes only the cells with zeros.
You should answer the following q queries: calculate the number of good rectangles all of which cells are in the given rectangle.
Input
There are three integers in the first line: n, m and q (1 ≤ n, m ≤ 40, 1 ≤ q ≤ 3·105). Each of the next n lines contains m characters — the grid. Consider grid rows are numbered from top to bottom, and grid columns are numbered from left to right. Both columns and rows are numbered starting from 1.
Each of the next q lines contains a query — four integers that describe the current rectangle, a, b, c, d (1 ≤ a ≤ c ≤ n; 1 ≤ b ≤ d ≤ m).
Output
For each query output an answer — a single integer in a separate line.
Examples
Input
5 5 5
00101
00000
00001
01000
00001
1 2 2 4
4 5 4 5
1 2 5 2
2 2 4 5
4 2 5 3
Output
10
1
7
34
5
Input
4 7 5
0000100
0000010
0011000
0000000
1 7 2 7
3 1 3 1
2 3 4 5
1 2 2 7
2 2 4 7
Output
3
1
16
27
52
Note
For the first example, there is a 5 × 5 rectangular grid, and the first, the second, and the third queries are represented in the following image.
<image>
* For the first query, there are 10 good rectangles, five 1 × 1, two 2 × 1, two 1 × 2, and one 1 × 3.
* For the second query, there is only one 1 × 1 good rectangle.
* For the third query, there are 7 good rectangles, four 1 × 1, two 2 × 1, and one 3 × 1. |
import java.io.*;
import java.util.*;
import java.math.*;
import static java.lang.Math.*;
import static java.lang.Integer.*;
import static java.lang.Long.*;
public class D219new {
int INF = Integer.MAX_VALUE / 100;
static Scanner sc = null;
static BufferedReader br = null;
static PrintStream out = null;
static BufferedWriter bw = null;
int N = 0;
public void solve() throws Exception{
int[] tm = nextInts();
int n = tm[0];
int m = tm[1];
int Q = tm[2];
boolean[][] d = new boolean[n][m];
for(int i = 0; i < n; i++){
String s = nextS();
for(int j = 0; j < m; j++){
char c = s.charAt(j);
if(c == '0'){
d[i][j] = true;
}
}
}
boolean[][][][] f = new boolean[n][m][n][m];
for(int i = 0; i < n; i++){
for(int j = 0; j < m; j++){
if(d[i][j]){
int r = i;
for(int k = j; k < m; k++){
if(d[i][k]){
r = k;
f[i][j][i][k] = true;
}
else{
break;
}
}
for(int k = i; k < n; k++){
if(!d[k][j]){
break;
}
for(int p = j; p <= r; p++){
if(d[k][p]){
f[i][j][k][p] = true;
}
else{
r = p-1;
break;
}
}
}
}
}
}
int[][][][] fwd = new int[n][m][n][m];
for(int i = 0; i < n; i++){
for(int j = 0; j < m; j++){
for(int k = i; k < n; k++){
for(int p = j; p < m; p++){
if(f[i][j][k][p]){
fwd[i][j][k][p]++;
}
if(k > i && p > j){
fwd[i][j][k][p] += fwd[i][j][k-1][p] + fwd[i][j][k][p-1] - fwd[i][j][k-1][p-1];
}
else if(k > i){
fwd[i][j][k][p] += fwd[i][j][k-1][p];
}
else if(p > j){
fwd[i][j][k][p] += fwd[i][j][k][p-1];
}
}
}
}
}
int[][][][] dp = new int[n][m][n][m];
for(int i = n-1; i >= 0; i--){
for(int j = m-1; j >= 0; j--){
for(int k = i; k >= 0; k--){
for(int p = j; p >= 0; p--){
dp[k][p][i][j] += fwd[k][p][i][j];
if(k < i && p < j ){
dp[k][p][i][j] += dp[k+1][p][i][j] + dp[k][p+1][i][j] - dp[k+1][p+1][i][j];
}
else if(k < i){
dp[k][p][i][j] += dp[k+1][p][i][j];
}
else if(p < j){
dp[k][p][i][j] += dp[k][p+1][i][j];
}
}
}
}
}
for(int q = 0; q < Q; q++){
tm = nextInts();
int i = tm[0]-1;
int j = tm[1]-1;
int k = tm[2]-1;
int p = tm[3]-1;
out.println(dp[i][j][k][p]);
}
}
public int[] readIntArray(int n) {
int[] ret = new int[n];
for (int i = 0; i < n; i++) {
ret[i] = sc.nextInt();
}
return ret;
}
private String nextS() throws IOException{
String s = br.readLine();
return s;
}
private int nextInt() throws IOException{
String s = br.readLine();
return parseInt(s);
}
private long nextLong() throws IOException{
String s = br.readLine();
return parseLong(s);
}
private int[] nextInts() throws IOException{
String s = br.readLine();
String[] sp = s.split(" ");
int[] r = new int[sp.length];
for(int i = 0;i < sp.length; i++){
r[i] = parseInt(sp[i]);
}
return r;
}
private long[] nextLongs() throws IOException{
String s = br.readLine();
String[] sp = s.split(" ");
long[] r = new long[sp.length];
for(int i = 0;i < sp.length; i++){
r[i] = parseLong(sp[i]);
}
return r;
}
/**
* @param args
*/
public static void main(String[] args) throws Exception{
File file = new File("input.txt");
if(file.exists()){
System.setIn(new BufferedInputStream(new FileInputStream("input.txt")));
}
out = System.out;
bw = new BufferedWriter(new PrintWriter(out));
//sc = new Scanner(System.in);
br = new BufferedReader(new InputStreamReader(System.in));
D219new t = new D219new();
t.solve();
bw.close();
}
}
| 4JAVA
| {
"input": [
"5 5 5\n00101\n00000\n00001\n01000\n00001\n1 2 2 4\n4 5 4 5\n1 2 5 2\n2 2 4 5\n4 2 5 3\n",
"4 7 5\n0000100\n0000010\n0011000\n0000000\n1 7 2 7\n3 1 3 1\n2 3 4 5\n1 2 2 7\n2 2 4 7\n",
"2 3 8\n000\n001\n1 1 2 2\n1 3 2 3\n2 2 2 3\n1 1 2 2\n2 3 2 3\n2 1 2 2\n1 2 1 3\n1 2 2 2\n",
"10 10 10\n0010001010\n0011011010\n0100001110\n0010100000\n0000100011\n0100000001\n0000010100\n1000000010\n0000010000\n0110010000\n1 1 4 6\n2 6 3 10\n1 6 3 9\n6 5 8 5\n2 3 6 8\n4 7 5 8\n3 1 9 5\n2 5 4 10\n2 3 3 6\n7 4 9 5\n",
"10 10 10\n0001000111\n1101000111\n1100101111\n1011101011\n1011110101\n1110101110\n1101101111\n1111111100\n0110101110\n1011101011\n6 3 7 9\n2 6 8 7\n9 7 10 8\n3 1 5 9\n1 6 9 10\n6 3 8 8\n1 6 9 10\n5 6 8 10\n8 8 10 8\n9 6 9 10\n",
"3 2 8\n01\n00\n00\n3 2 3 2\n1 1 2 1\n2 1 3 1\n2 2 3 2\n1 1 2 2\n1 1 1 2\n1 1 3 1\n1 1 2 2\n",
"10 10 10\n0010001010\n0011011010\n0100001110\n0010100000\n0000100111\n0100000001\n0000010100\n1000000010\n0000010000\n0110010000\n1 1 4 6\n2 6 3 10\n1 6 3 9\n6 5 8 5\n2 3 6 8\n4 7 5 8\n3 1 9 5\n2 5 4 10\n2 3 3 6\n7 4 9 5\n",
"5 5 5\n00101\n00000\n00001\n01000\n01001\n1 2 2 4\n4 5 4 5\n1 2 5 2\n2 2 4 5\n4 2 5 3\n",
"4 7 5\n0000100\n0000010\n0011000\n0000000\n1 7 2 7\n3 1 3 1\n2 5 4 5\n1 2 2 7\n2 2 4 7\n",
"4 7 5\n0000100\n0000010\n0011000\n0000000\n1 7 2 7\n3 1 3 1\n4 5 4 5\n1 2 2 7\n2 2 4 7\n",
"10 10 10\n0010001011\n0011011010\n0100001110\n0010100000\n0000100111\n0100000001\n0000010100\n1000000010\n0000010000\n0110010000\n1 1 4 6\n2 6 3 10\n1 6 3 9\n6 5 8 5\n2 3 6 8\n4 7 5 8\n3 2 9 5\n2 5 4 10\n2 3 3 6\n7 4 9 5\n",
"5 5 5\n00101\n00000\n00001\n01000\n01001\n1 2 2 4\n4 5 4 5\n1 2 4 2\n2 2 4 5\n3 2 5 3\n",
"4 7 5\n0000100\n0000010\n0011000\n0000100\n1 7 2 7\n3 1 3 1\n4 5 4 5\n1 2 2 7\n2 2 4 7\n",
"5 5 5\n00101\n00000\n00001\n01000\n01001\n1 2 2 4\n4 5 4 5\n2 2 4 2\n2 2 4 5\n3 2 5 3\n",
"2 3 8\n000\n001\n1 1 2 2\n1 3 2 3\n2 2 2 3\n1 1 2 2\n2 3 2 3\n2 1 2 2\n1 2 1 3\n1 2 2 3\n",
"10 10 10\n0010001010\n1011011010\n0100001110\n0010100000\n0000100011\n0100000001\n0000010100\n1000000010\n0000010000\n0110010000\n1 1 4 6\n2 6 3 10\n1 6 3 9\n6 5 8 5\n2 3 6 8\n4 7 5 8\n3 1 9 5\n2 5 4 10\n2 3 3 6\n7 4 9 5\n",
"10 10 10\n0001000111\n1101000111\n1100101111\n1011101011\n1011110101\n1110101110\n1101101111\n1111111100\n0110101110\n1011101011\n6 3 7 9\n2 6 8 7\n9 7 10 8\n3 1 5 9\n1 3 9 10\n6 3 8 8\n1 6 9 10\n5 6 8 10\n8 8 10 8\n9 6 9 10\n",
"5 5 5\n00101\n10000\n00001\n01000\n00001\n1 2 2 4\n4 5 4 5\n1 2 5 2\n2 2 4 5\n4 2 5 3\n",
"10 10 10\n0010001010\n0011011010\n0100001110\n0010100000\n0000100111\n0100000001\n0000010100\n1000000010\n0000010000\n0110010000\n1 1 4 6\n2 6 3 10\n1 6 3 9\n6 5 8 5\n2 3 6 8\n4 7 9 8\n3 1 9 5\n2 5 4 10\n2 3 3 6\n7 4 9 5\n",
"10 10 10\n0010001011\n0011011010\n0100001110\n0010100000\n0000100111\n0100000001\n0000010100\n1000000010\n0000010000\n0110010000\n1 1 4 6\n2 6 3 10\n1 6 3 9\n6 5 8 5\n2 3 6 8\n4 7 5 8\n3 1 5 5\n2 5 4 10\n2 3 3 6\n7 4 9 5\n",
"10 10 10\n0010001011\n0011011010\n0100001110\n0010100000\n0000100111\n0100000001\n0000010100\n1000000010\n0000010000\n0110010000\n1 1 4 6\n2 6 3 10\n1 6 3 9\n6 5 8 5\n2 3 6 8\n5 7 5 8\n3 2 9 5\n2 5 4 10\n2 3 3 6\n7 4 9 5\n",
"2 3 8\n000\n001\n1 1 2 2\n1 3 2 3\n2 2 2 3\n1 1 2 3\n2 3 2 3\n2 1 2 2\n1 2 1 3\n1 2 2 3\n",
"10 10 10\n0010001010\n1011011010\n0100001110\n0010100000\n0000100011\n0100000001\n0000010100\n1000000010\n0000010000\n0110010000\n1 1 4 6\n2 6 3 10\n1 6 3 9\n6 5 10 5\n2 3 6 8\n4 7 5 8\n3 1 9 5\n2 5 4 10\n2 3 3 6\n7 4 9 5\n",
"10 10 10\n0010001011\n0011011010\n0100001110\n0010100000\n0000100111\n0100000001\n0000010100\n1000000010\n0000010000\n0110010000\n1 1 4 6\n2 6 3 10\n1 6 3 9\n6 5 8 5\n2 3 6 8\n4 7 5 8\n3 1 5 5\n2 9 4 10\n2 3 3 6\n7 4 9 5\n",
"10 10 10\n0010001011\n0011011010\n0100000110\n0010100000\n0000100111\n0100000001\n0000010100\n1000000010\n0000010000\n0110010000\n1 1 4 6\n2 6 3 10\n1 6 3 9\n6 5 8 5\n2 3 6 8\n5 7 5 8\n3 2 9 5\n2 5 4 10\n2 3 3 6\n7 4 9 5\n",
"2 3 8\n000\n001\n1 1 2 2\n1 3 2 3\n2 2 2 3\n1 1 2 3\n2 1 2 3\n2 1 2 2\n1 2 1 3\n1 2 2 3\n",
"10 10 10\n0010001011\n0011011010\n0100001110\n0010100000\n0000100111\n0100000001\n0000010100\n1000000010\n0000010000\n0110010000\n1 1 4 6\n2 6 3 10\n1 6 3 9\n6 5 8 5\n2 3 6 8\n4 7 5 8\n3 1 5 5\n2 8 4 10\n2 3 3 6\n7 4 9 5\n",
"10 10 10\n0010001011\n0011011010\n0100001110\n0010100000\n0000100111\n0100000001\n0000010100\n1000000010\n0000010000\n0110010000\n1 1 4 6\n2 6 3 10\n1 6 3 9\n6 5 8 5\n2 1 6 8\n4 7 5 8\n3 1 5 5\n2 8 4 10\n2 3 3 6\n7 4 9 5\n",
"10 10 10\n0010001011\n0011011010\n0100001110\n0010100000\n0000100111\n1100000001\n0000010100\n1000000010\n0000010000\n0110010000\n1 1 4 6\n2 6 3 10\n1 6 3 9\n6 5 8 5\n2 1 6 8\n4 7 5 8\n3 1 5 5\n2 8 4 10\n2 3 3 6\n7 4 9 5\n",
"10 10 10\n0010001011\n0011011010\n0100001110\n0010000000\n0000100111\n1100000001\n0000010100\n1000000010\n0000010000\n0110010000\n1 1 4 6\n2 6 3 10\n1 6 3 9\n6 5 8 5\n2 1 6 8\n4 7 5 8\n3 1 5 5\n2 8 4 10\n2 3 3 6\n7 4 9 5\n",
"10 10 10\n0010001011\n0011011010\n0100001110\n0010000000\n0000100111\n1100000001\n0000010100\n1000000010\n0000010000\n0110010000\n1 1 4 6\n2 6 3 10\n1 6 3 9\n6 5 8 5\n2 1 6 8\n4 7 5 8\n3 1 5 2\n2 8 4 10\n2 3 3 6\n7 4 9 5\n",
"10 10 10\n0010001011\n0011011010\n0100001110\n0010000000\n0000100111\n1100000101\n0000010100\n1000000110\n0000010000\n0110010000\n1 1 4 6\n2 6 3 10\n1 6 3 9\n6 5 8 5\n2 1 6 8\n4 7 5 8\n3 1 5 2\n2 8 4 10\n2 3 3 6\n7 4 9 5\n",
"10 10 10\n0010001011\n0011001010\n0100001110\n0010000000\n0000100111\n1100000101\n0000010100\n1000000100\n0000010000\n0110010000\n1 1 4 6\n2 6 3 10\n1 6 3 9\n6 5 8 5\n2 1 6 8\n4 7 5 8\n3 1 5 2\n2 8 4 10\n2 3 3 6\n7 4 9 5\n",
"2 3 8\n100\n001\n1 1 2 2\n1 3 2 3\n2 2 2 3\n1 1 2 2\n2 3 2 3\n2 1 2 2\n1 2 1 3\n1 2 2 2\n",
"3 2 8\n01\n00\n00\n3 2 3 2\n1 1 2 1\n2 1 3 1\n2 2 3 2\n1 1 2 2\n1 1 1 1\n1 1 3 1\n1 1 2 2\n",
"4 7 5\n0000100\n0000010\n0011000\n0000000\n1 7 2 7\n3 1 3 1\n2 2 4 5\n1 2 2 7\n2 2 4 7\n",
"10 10 10\n0010001010\n0011011010\n0100001110\n0010100000\n0000100111\n0100000001\n0000010100\n1000000010\n0000010000\n0110010000\n1 1 4 6\n2 6 3 10\n1 6 3 9\n6 5 8 5\n2 3 6 8\n4 7 5 8\n3 1 9 5\n2 5 4 10\n2 3 3 6\n7 2 9 5\n",
"4 7 5\n0000100\n0000010\n0011000\n0010000\n1 7 2 7\n3 1 3 1\n2 5 4 5\n1 2 2 7\n2 2 4 7\n",
"10 10 10\n0010001011\n0011011010\n0100001110\n0010100000\n0000100111\n0100000001\n0000010100\n1000000010\n0000010000\n0110010000\n1 1 4 6\n2 6 3 10\n1 6 3 9\n6 5 8 5\n2 3 6 8\n4 7 5 8\n3 2 9 5\n2 5 4 10\n2 3 3 6\n7 4 9 8\n",
"4 7 5\n0000100\n0000010\n0011001\n0000000\n1 7 2 7\n3 1 3 1\n4 5 4 5\n1 2 2 7\n2 2 4 7\n",
"10 10 10\n0010001011\n0011001010\n0100001110\n0010100000\n0000100111\n0100000001\n0000010100\n1000000010\n0000010000\n0110010000\n1 1 4 6\n2 6 3 10\n1 6 3 9\n6 5 8 5\n2 3 6 8\n4 7 5 8\n3 2 9 5\n2 5 4 10\n2 3 3 6\n7 4 9 5\n",
"2 3 8\n000\n001\n1 1 2 2\n1 3 2 3\n2 3 2 3\n1 1 2 2\n2 3 2 3\n2 1 2 2\n1 2 1 3\n1 2 2 3\n",
"10 10 10\n0010001010\n1011011010\n0100001110\n0010100000\n0000100011\n0100000001\n0000010100\n1000000010\n0000010000\n0110010000\n1 1 4 6\n2 6 3 10\n1 6 3 9\n6 5 8 5\n2 3 6 8\n4 7 5 8\n3 1 9 5\n4 5 4 10\n2 3 3 6\n7 4 9 5\n",
"10 10 10\n0001000111\n1101000111\n1100101111\n1011101011\n1011110101\n1110101110\n1101101111\n1111111100\n0110101110\n1011101011\n7 3 7 9\n2 6 8 7\n9 7 10 8\n3 1 5 9\n1 3 9 10\n6 3 8 8\n1 6 9 10\n5 6 8 10\n8 8 10 8\n9 6 9 10\n",
"10 10 10\n0010001011\n0011011010\n0100001110\n0010100000\n0000100111\n0100000001\n0000010100\n1000000010\n0000010000\n0110010000\n1 1 4 5\n2 6 3 10\n1 6 3 9\n6 5 8 5\n2 3 6 8\n4 7 5 8\n3 1 5 5\n2 5 4 10\n2 3 3 6\n7 4 9 5\n",
"10 10 10\n0010001011\n0011011010\n0100001110\n0010100000\n0000100111\n0100000001\n0000010100\n1000000010\n0000010000\n0110010000\n1 1 4 6\n2 6 3 10\n1 6 3 9\n6 5 8 5\n2 3 6 8\n1 7 5 8\n3 2 9 5\n2 5 4 10\n2 3 3 6\n7 4 9 5\n",
"2 3 8\n000\n001\n1 1 2 2\n1 3 2 3\n2 2 2 3\n1 1 2 3\n2 3 2 3\n1 1 2 2\n1 2 1 3\n1 2 2 3\n",
"10 10 10\n0010001010\n1011011010\n0100001110\n0010100000\n0000100011\n0100000001\n0000010100\n1000000010\n0000010000\n0110010000\n1 1 4 6\n2 6 3 10\n1 6 3 9\n6 5 10 5\n2 3 6 8\n4 7 5 8\n3 1 9 5\n2 5 4 10\n2 3 3 6\n1 4 9 5\n",
"10 10 10\n0010001010\n0011011010\n0100001110\n0010100000\n0000100101\n0100000001\n0000010100\n1000000010\n0000010000\n0110010000\n1 1 4 6\n2 6 3 10\n1 6 3 9\n6 5 8 5\n2 3 5 8\n4 7 9 8\n3 1 9 5\n2 5 4 10\n2 3 3 6\n7 4 9 5\n",
"10 10 10\n0010001011\n0011011010\n0100001110\n0010100000\n0000100111\n0100000001\n0000010100\n1000000010\n0000010000\n0110010000\n1 1 4 6\n2 6 3 10\n1 6 3 9\n6 5 8 5\n2 3 6 8\n4 7 5 8\n3 1 9 5\n2 5 4 10\n2 3 3 6\n7 4 9 5\n",
"5 5 5\n00101\n00000\n00001\n01000\n01001\n1 2 2 4\n4 5 4 5\n1 2 4 2\n2 2 4 5\n4 2 5 3\n",
"5 5 5\n00101\n10000\n00001\n01000\n01001\n1 2 2 4\n4 5 4 5\n2 2 4 2\n2 2 4 5\n3 2 5 3\n",
"10 10 10\n0010001010\n0011011010\n0100001110\n0010100000\n0000100101\n0100000001\n0000010100\n1000000010\n0000010000\n0110010000\n1 1 4 6\n2 6 3 10\n1 6 3 9\n6 5 8 5\n2 3 6 8\n4 7 9 8\n3 1 9 5\n2 5 4 10\n2 3 3 6\n7 4 9 5\n",
"10 10 10\n0010001011\n0011011010\n0100001110\n0010000000\n0000100111\n1100000001\n0000010100\n1000000110\n0000010000\n0110010000\n1 1 4 6\n2 6 3 10\n1 6 3 9\n6 5 8 5\n2 1 6 8\n4 7 5 8\n3 1 5 2\n2 8 4 10\n2 3 3 6\n7 4 9 5\n",
"10 10 10\n0010001011\n0011011010\n0100001110\n0010000000\n0000100111\n1100000101\n0000010100\n1000000100\n0000010000\n0110010000\n1 1 4 6\n2 6 3 10\n1 6 3 9\n6 5 8 5\n2 1 6 8\n4 7 5 8\n3 1 5 2\n2 8 4 10\n2 3 3 6\n7 4 9 5\n",
"5 5 5\n00101\n00000\n00001\n01000\n01001\n1 2 2 4\n4 5 4 5\n1 2 4 2\n2 2 4 5\n4 3 5 3\n",
"5 5 5\n00101\n00000\n10001\n01000\n01001\n1 2 2 4\n4 5 4 5\n2 2 4 2\n2 2 4 5\n3 2 5 3\n"
],
"output": [
"10\n1\n7\n34\n5\n",
"3\n1\n16\n27\n52\n",
"9\n1\n1\n9\n0\n3\n3\n3\n",
"42\n5\n5\n6\n79\n9\n151\n27\n12\n18\n",
"5\n12\n1\n12\n29\n5\n29\n9\n1\n2\n",
"1\n3\n3\n3\n5\n1\n6\n5\n",
"42\n5\n5\n6\n67\n5\n151\n27\n12\n18\n",
"10\n1\n6\n34\n3\n",
"3\n1\n6\n27\n52\n",
"3\n1\n1\n27\n52\n",
"42\n5\n5\n6\n67\n5\n122\n27\n12\n18\n",
"10\n1\n6\n34\n8\n",
"3\n1\n0\n27\n36\n",
"10\n1\n3\n34\n8\n",
"9\n1\n1\n9\n0\n3\n3\n5\n",
"34\n5\n5\n6\n79\n9\n151\n27\n12\n18\n",
"5\n12\n1\n12\n49\n5\n29\n9\n1\n2\n",
"10\n1\n7\n34\n5\n",
"42\n5\n5\n6\n67\n31\n151\n27\n12\n18\n",
"42\n5\n5\n6\n67\n5\n29\n27\n12\n18\n",
"42\n5\n5\n6\n67\n1\n122\n27\n12\n18\n",
"9\n1\n1\n12\n0\n3\n3\n5\n",
"34\n5\n5\n15\n79\n9\n151\n27\n12\n18\n",
"42\n5\n5\n6\n67\n5\n29\n8\n12\n18\n",
"42\n7\n7\n6\n78\n1\n122\n32\n12\n18\n",
"9\n1\n1\n12\n3\n3\n3\n5\n",
"42\n5\n5\n6\n67\n5\n29\n12\n12\n18\n",
"42\n5\n5\n6\n94\n5\n29\n12\n12\n18\n",
"42\n5\n5\n6\n89\n5\n29\n12\n12\n18\n",
"52\n5\n5\n6\n102\n5\n33\n12\n12\n18\n",
"52\n5\n5\n6\n102\n5\n12\n12\n12\n18\n",
"52\n5\n5\n6\n96\n5\n12\n12\n12\n18\n",
"64\n7\n9\n6\n104\n5\n12\n12\n16\n18\n",
"5\n1\n1\n5\n0\n3\n3\n3\n",
"1\n3\n3\n3\n5\n1\n6\n5\n",
"3\n1\n28\n27\n52\n",
"42\n5\n5\n6\n67\n5\n151\n27\n12\n60\n",
"3\n1\n6\n27\n42\n",
"42\n5\n5\n6\n67\n5\n122\n27\n12\n39\n",
"3\n1\n1\n27\n44\n",
"52\n7\n9\n6\n74\n5\n122\n32\n16\n18\n",
"9\n1\n0\n9\n0\n3\n3\n5\n",
"34\n5\n5\n6\n79\n9\n151\n15\n12\n18\n",
"2\n12\n1\n12\n49\n5\n29\n9\n1\n2\n",
"33\n5\n5\n6\n67\n5\n29\n27\n12\n18\n",
"42\n5\n5\n6\n67\n8\n122\n27\n12\n18\n",
"9\n1\n1\n12\n0\n9\n3\n5\n",
"34\n5\n5\n15\n79\n9\n151\n27\n12\n57\n",
"42\n5\n5\n6\n34\n31\n151\n27\n12\n18\n",
"42\n5\n5\n6\n67\n5\n151\n27\n12\n18\n",
"10\n1\n6\n34\n3\n",
"10\n1\n3\n34\n8\n",
"42\n5\n5\n6\n67\n31\n151\n27\n12\n18\n",
"52\n5\n5\n6\n102\n5\n12\n12\n12\n18\n",
"52\n5\n5\n6\n96\n5\n12\n12\n12\n18\n",
"10\n1\n6\n34\n3\n",
"10\n1\n3\n34\n8\n"
]
} | 2CODEFORCES
|
396_A. On Number of Decompositions into Multipliers_38261 | You are given an integer m as a product of integers a1, a2, ... an <image>. Your task is to find the number of distinct decompositions of number m into the product of n ordered positive integers.
Decomposition into n products, given in the input, must also be considered in the answer. As the answer can be very large, print it modulo 1000000007 (109 + 7).
Input
The first line contains positive integer n (1 ≤ n ≤ 500). The second line contains space-separated integers a1, a2, ..., an (1 ≤ ai ≤ 109).
Output
In a single line print a single number k — the number of distinct decompositions of number m into n ordered multipliers modulo 1000000007 (109 + 7).
Examples
Input
1
15
Output
1
Input
3
1 1 2
Output
3
Input
2
5 7
Output
4
Note
In the second sample, the get a decomposition of number 2, you need any one number out of three to equal 2, and the rest to equal 1.
In the third sample, the possible ways of decomposing into ordered multipliers are [7,5], [5,7], [1,35], [35,1].
A decomposition of positive integer m into n ordered multipliers is a cortege of positive integers b = {b1, b2, ... bn} such that <image>. Two decompositions b and c are considered different, if there exists index i such that bi ≠ ci. | from collections import defaultdict
def main():
n = int(raw_input())
a = map(int, raw_input().split())
primes = []
b = [0] * 34002
for x in xrange(2, 34000):
if b[x]: continue
primes.append(x)
y = x + x
while y < 34000:
b[y] = 1
y = y + x
c = defaultdict(int)
for x in a:
for y in primes:
while x % y == 0:
c[y] += 1
x /= y
if x != 1:
c[x] += 1
mod = 1000000007
ps = [1]
for i in xrange(1, 18000):
ps.append(ps[-1] * i % mod)
def comb(x, y):
return ps[x] * pow(ps[y], mod-2, mod) * pow(ps[x-y], mod-2, mod) % mod
ans = 1
for x in c.values():
ans = ans * comb(x+n-1, x) % mod
print ans
main()
| 1Python2
| {
"input": [
"1\n15\n",
"3\n1 1 2\n",
"2\n5 7\n",
"3\n8 10 8\n",
"1\n536870912\n",
"1\n111546435\n",
"10\n2097152 67108864 65536 262144 262144 131072 8388608 536870912 65536 2097152\n",
"23\n77 12 25 7 44 75 80 92 49 77 56 93 59 45 45 39 86 83 99 91 4 70 83\n",
"50\n675 25000 2025 50 450 31250 3750 225 1350 250 72 187500 12000 281250 187500 30000 45000 90000 90 1200 9000 56250 5760 270000 3125 3796875 2250 101250 40 2500 175781250 1250000 45000 2250 3000 31250 46875 135000 421875000 36000 360 140625000 13500 1406250 1125 250 75000 62500 150 6\n",
"19\n371700317 12112039 167375713 7262011 21093827 89809099 600662303 18181979 9363547 30857731 58642669 111546435 645328247 5605027 38706809 14457349 25456133 44227723 33984931\n",
"5\n387420489 536870912 536870912 536870912 387420489\n",
"2\n1 2\n",
"8\n836 13 77 218 743 530 404 741\n",
"2\n5 10\n",
"2\n1 6\n",
"1\n1\n",
"10\n6295 3400 4042 2769 3673 264 5932 4977 1776 5637\n",
"5\n387420489 244140625 387420489 387420489 1\n",
"20\n16777216 1048576 524288 8192 8192 524288 2097152 8388608 1048576 67108864 16777216 1048576 4096 8388608 134217728 67108864 1048576 536870912 67108864 67108864\n",
"2\n536870912 387420489\n",
"7\n111546435 58642669 600662303 167375713 371700317 33984931 89809099\n",
"10\n214358881 536870912 815730721 387420489 893871739 244140625 282475249 594823321 148035889 410338673\n",
"3\n1 1 1\n",
"10\n237254761 1 817430153 1 1 1 1 1 90679621 1\n",
"5\n14 67 15 28 21\n",
"2\n1000000000 1000000000\n",
"2\n999983 999983\n",
"3\n1 30 1\n",
"3\n1 1 39989\n",
"3\n8 10 6\n",
"1\n220265856\n",
"10\n2097152 67108864 65536 262144 262144 131072 8388608 536870912 65536 1863321\n",
"23\n77 12 25 7 44 75 80 92 49 151 56 93 59 45 45 39 86 83 99 91 4 70 83\n",
"50\n675 25000 2025 83 450 31250 3750 225 1350 250 72 187500 12000 281250 187500 30000 45000 90000 90 1200 9000 56250 5760 270000 3125 3796875 2250 101250 40 2500 175781250 1250000 45000 2250 3000 31250 46875 135000 421875000 36000 360 140625000 13500 1406250 1125 250 75000 62500 150 6\n",
"19\n371700317 12112039 167375713 7262011 21093827 89809099 600662303 18181979 9363547 41085159 58642669 111546435 645328247 5605027 38706809 14457349 25456133 44227723 33984931\n",
"5\n387420489 536870912 536870912 207197421 387420489\n",
"8\n1522 13 77 218 743 530 404 741\n",
"2\n1 5\n",
"10\n6295 3400 4042 4592 3673 264 5932 4977 1776 5637\n",
"5\n387420489 345326591 387420489 387420489 1\n",
"20\n16777216 25025 524288 8192 8192 524288 2097152 8388608 1048576 67108864 16777216 1048576 4096 8388608 134217728 67108864 1048576 536870912 67108864 67108864\n",
"2\n921304979 387420489\n",
"7\n111546435 58642669 600662303 167375713 371700317 37498469 89809099\n",
"10\n214358881 536870912 815730721 387420489 893871739 244140625 282475249 310544439 148035889 410338673\n",
"3\n1 2 1\n",
"10\n237254761 1 817430153 1 1 1 2 1 90679621 1\n",
"5\n13 67 15 28 21\n",
"2\n1000000000 1000100000\n",
"2\n241770 999983\n",
"3\n1 49 1\n",
"2\n2 7\n",
"3\n8 10 9\n",
"10\n2354079 67108864 65536 262144 262144 131072 8388608 536870912 65536 1863321\n",
"23\n77 12 25 7 44 75 80 92 49 151 56 93 59 45 45 39 12 83 99 91 4 70 83\n",
"50\n675 25000 2025 83 450 31250 3750 225 1350 250 72 187500 12000 281250 187500 30000 45000 90000 90 1200 9000 56250 5760 270000 3125 3796875 2250 101250 40 2500 175781250 1250000 45000 2250 3000 31250 46875 135000 643172839 36000 360 140625000 13500 1406250 1125 250 75000 62500 150 6\n",
"19\n371700317 12112039 167375713 7262011 21093827 89809099 600662303 18181979 9363547 41085159 58642669 111546435 645328247 5605027 38706809 14457349 25456133 44227723 44827688\n",
"5\n257161530 536870912 536870912 207197421 387420489\n",
"8\n1522 13 77 218 743 530 404 342\n",
"10\n6295 3400 4042 4592 3673 264 6967 4977 1776 5637\n",
"5\n387420489 427918323 387420489 387420489 1\n",
"20\n16777216 25025 524288 8192 2797 524288 2097152 8388608 1048576 67108864 16777216 1048576 4096 8388608 134217728 67108864 1048576 536870912 67108864 67108864\n",
"2\n875069406 387420489\n",
"7\n111546435 58642669 343378054 167375713 371700317 37498469 89809099\n",
"10\n316079402 536870912 815730721 387420489 893871739 244140625 282475249 310544439 148035889 410338673\n",
"5\n13 67 21 28 21\n",
"2\n329497 999983\n",
"3\n8 20 9\n",
"10\n2354079 67108864 65536 262144 262144 250271 8388608 536870912 65536 1863321\n",
"23\n77 12 25 7 44 75 80 92 49 151 56 93 59 45 18 39 12 83 99 91 4 70 83\n",
"50\n675 25000 2025 83 450 31250 3750 225 1350 250 72 187500 12000 281250 187500 30000 45000 90000 90 1200 9000 56250 5760 270000 3125 3796875 2250 22959 40 2500 175781250 1250000 45000 2250 3000 31250 46875 135000 643172839 36000 360 140625000 13500 1406250 1125 250 75000 62500 150 6\n",
"19\n371700317 12112039 167375713 7262011 21093827 89809099 812222065 18181979 9363547 41085159 58642669 111546435 645328247 5605027 38706809 14457349 25456133 44227723 44827688\n",
"5\n257161530 536870912 909215645 207197421 387420489\n",
"8\n1522 13 77 218 743 530 404 271\n",
"2\n3 10\n",
"10\n6295 5827 4042 4592 3673 264 6967 4977 1776 5637\n",
"5\n332493834 427918323 387420489 387420489 1\n",
"20\n16777216 25025 524288 8192 2797 524288 2097152 8388608 1048576 97108108 16777216 1048576 4096 8388608 134217728 67108864 1048576 536870912 67108864 67108864\n",
"2\n859476554 387420489\n",
"7\n111546435 58642669 343378054 190730883 371700317 37498469 89809099\n",
"10\n238337238 536870912 815730721 387420489 893871739 244140625 282475249 310544439 148035889 410338673\n",
"10\n237254761 1 817430153 2 1 1 1 1 28939360 1\n",
"5\n13 126 21 28 21\n",
"1\n190629401\n",
"1\n243088005\n",
"1\n251841745\n",
"2\n1 10\n",
"3\n2 2 1\n",
"10\n237254761 1 817430153 2 1 1 1 1 90679621 1\n",
"2\n2 10\n",
"1\n381347381\n",
"1\n436345080\n",
"2\n329497 164785\n",
"2\n2 12\n",
"3\n8 20 7\n",
"1\n634165685\n"
],
"output": [
"1\n",
"3\n",
"4\n",
"108\n",
"1\n",
"1\n",
"176451954\n",
"247701073\n",
"18983788\n",
"376284721\n",
"255309592\n",
"2\n",
"544714485\n",
"6\n",
"4\n",
"1\n",
"928377494\n",
"772171400\n",
"985054761\n",
"570\n",
"25706464\n",
"547239398\n",
"1\n",
"1000\n",
"459375\n",
"361\n",
"3\n",
"27\n",
"3\n",
"189\n",
"1\n",
"99140232\n",
"485010245\n",
"687306783\n",
"314760312\n",
"464813776\n",
"526671590\n",
"2\n",
"493879649\n",
"2121350\n",
"869011558\n",
"76\n",
"408463052\n",
"323437305\n",
"3\n",
"10000\n",
"421875\n",
"900\n",
"32\n",
"6\n",
"4\n",
"270\n",
"143297218\n",
"546379784\n",
"285817182\n",
"721141880\n",
"960153565\n",
"474455107\n",
"277438869\n",
"853361250\n",
"627928287\n",
"368\n",
"593920734\n",
"486503461\n",
"196875\n",
"16\n",
"378\n",
"506877987\n",
"549495737\n",
"753806527\n",
"468320665\n",
"889707577\n",
"403518658\n",
"8\n",
"575485871\n",
"246718715\n",
"484562742\n",
"152\n",
"341203443\n",
"549299384\n",
"50050000\n",
"857500\n",
"1\n",
"1\n",
"1\n",
"4\n",
"6\n",
"10000\n",
"6\n",
"1\n",
"1\n",
"32\n",
"8\n",
"189\n",
"1\n"
]
} | 2CODEFORCES
|
396_A. On Number of Decompositions into Multipliers_38262 | You are given an integer m as a product of integers a1, a2, ... an <image>. Your task is to find the number of distinct decompositions of number m into the product of n ordered positive integers.
Decomposition into n products, given in the input, must also be considered in the answer. As the answer can be very large, print it modulo 1000000007 (109 + 7).
Input
The first line contains positive integer n (1 ≤ n ≤ 500). The second line contains space-separated integers a1, a2, ..., an (1 ≤ ai ≤ 109).
Output
In a single line print a single number k — the number of distinct decompositions of number m into n ordered multipliers modulo 1000000007 (109 + 7).
Examples
Input
1
15
Output
1
Input
3
1 1 2
Output
3
Input
2
5 7
Output
4
Note
In the second sample, the get a decomposition of number 2, you need any one number out of three to equal 2, and the rest to equal 1.
In the third sample, the possible ways of decomposing into ordered multipliers are [7,5], [5,7], [1,35], [35,1].
A decomposition of positive integer m into n ordered multipliers is a cortege of positive integers b = {b1, b2, ... bn} such that <image>. Two decompositions b and c are considered different, if there exists index i such that bi ≠ ci. | #include <bits/stdc++.h>
using namespace std;
long long int dp[502][22 * 502];
int n;
vector<int> v;
bool use[100000];
vector<long long int> prime;
long long int ans = 1;
long long int ff[30000];
long long int ppow(long long int i, long long int j) {
long long int r = 1;
while (j > 0) {
if (j & 1) {
r *= i;
r %= 1000000007;
}
i *= i;
i %= 1000000007;
j >>= 1;
}
return r % 1000000007;
}
long long int c(long long int a, long long int b) {
long long int m = ff[a];
m = m * ppow(ff[a - b], 1000000007 - 2);
m %= 1000000007;
long long int h = ff[b];
long long int r = m * ppow(h, 1000000007 - 2);
r %= 1000000007;
return r;
}
int main() {
ff[0] = 1;
for (int i = 1; i < 30000; i++) {
ff[i] = ff[i - 1];
ff[i] *= (long long int)i;
ff[i] %= 1000000007;
}
scanf("%d", &n);
prime.push_back(2);
for (int i = 3; i < 100000; i += 2) {
if (use[i] == false) {
prime.push_back(i);
for (int j = i * 2; j < 100000; j += i) {
use[j] = true;
}
}
}
for (int i = 0; i < n; i++) {
int a;
scanf("%d", &a);
for (int i = 0; i < prime.size() && prime[i] * prime[i] <= a; i++) {
while (a % prime[i] == 0) {
v.push_back(prime[i]);
a /= prime[i];
}
}
if (a != 1) {
v.push_back(a);
}
}
sort(v.begin(), v.end());
{
int i = 0;
while (i < v.size()) {
long long int k = v[i];
int countt = 0;
while (i < v.size() && v[i] == k) {
i++;
countt++;
}
ans *= c(countt + n - 1, countt);
ans %= 1000000007;
}
}
ans %= 1000000007;
printf("%I64d\n", ans);
return 0;
}
| 2C++
| {
"input": [
"1\n15\n",
"3\n1 1 2\n",
"2\n5 7\n",
"3\n8 10 8\n",
"1\n536870912\n",
"1\n111546435\n",
"10\n2097152 67108864 65536 262144 262144 131072 8388608 536870912 65536 2097152\n",
"23\n77 12 25 7 44 75 80 92 49 77 56 93 59 45 45 39 86 83 99 91 4 70 83\n",
"50\n675 25000 2025 50 450 31250 3750 225 1350 250 72 187500 12000 281250 187500 30000 45000 90000 90 1200 9000 56250 5760 270000 3125 3796875 2250 101250 40 2500 175781250 1250000 45000 2250 3000 31250 46875 135000 421875000 36000 360 140625000 13500 1406250 1125 250 75000 62500 150 6\n",
"19\n371700317 12112039 167375713 7262011 21093827 89809099 600662303 18181979 9363547 30857731 58642669 111546435 645328247 5605027 38706809 14457349 25456133 44227723 33984931\n",
"5\n387420489 536870912 536870912 536870912 387420489\n",
"2\n1 2\n",
"8\n836 13 77 218 743 530 404 741\n",
"2\n5 10\n",
"2\n1 6\n",
"1\n1\n",
"10\n6295 3400 4042 2769 3673 264 5932 4977 1776 5637\n",
"5\n387420489 244140625 387420489 387420489 1\n",
"20\n16777216 1048576 524288 8192 8192 524288 2097152 8388608 1048576 67108864 16777216 1048576 4096 8388608 134217728 67108864 1048576 536870912 67108864 67108864\n",
"2\n536870912 387420489\n",
"7\n111546435 58642669 600662303 167375713 371700317 33984931 89809099\n",
"10\n214358881 536870912 815730721 387420489 893871739 244140625 282475249 594823321 148035889 410338673\n",
"3\n1 1 1\n",
"10\n237254761 1 817430153 1 1 1 1 1 90679621 1\n",
"5\n14 67 15 28 21\n",
"2\n1000000000 1000000000\n",
"2\n999983 999983\n",
"3\n1 30 1\n",
"3\n1 1 39989\n",
"3\n8 10 6\n",
"1\n220265856\n",
"10\n2097152 67108864 65536 262144 262144 131072 8388608 536870912 65536 1863321\n",
"23\n77 12 25 7 44 75 80 92 49 151 56 93 59 45 45 39 86 83 99 91 4 70 83\n",
"50\n675 25000 2025 83 450 31250 3750 225 1350 250 72 187500 12000 281250 187500 30000 45000 90000 90 1200 9000 56250 5760 270000 3125 3796875 2250 101250 40 2500 175781250 1250000 45000 2250 3000 31250 46875 135000 421875000 36000 360 140625000 13500 1406250 1125 250 75000 62500 150 6\n",
"19\n371700317 12112039 167375713 7262011 21093827 89809099 600662303 18181979 9363547 41085159 58642669 111546435 645328247 5605027 38706809 14457349 25456133 44227723 33984931\n",
"5\n387420489 536870912 536870912 207197421 387420489\n",
"8\n1522 13 77 218 743 530 404 741\n",
"2\n1 5\n",
"10\n6295 3400 4042 4592 3673 264 5932 4977 1776 5637\n",
"5\n387420489 345326591 387420489 387420489 1\n",
"20\n16777216 25025 524288 8192 8192 524288 2097152 8388608 1048576 67108864 16777216 1048576 4096 8388608 134217728 67108864 1048576 536870912 67108864 67108864\n",
"2\n921304979 387420489\n",
"7\n111546435 58642669 600662303 167375713 371700317 37498469 89809099\n",
"10\n214358881 536870912 815730721 387420489 893871739 244140625 282475249 310544439 148035889 410338673\n",
"3\n1 2 1\n",
"10\n237254761 1 817430153 1 1 1 2 1 90679621 1\n",
"5\n13 67 15 28 21\n",
"2\n1000000000 1000100000\n",
"2\n241770 999983\n",
"3\n1 49 1\n",
"2\n2 7\n",
"3\n8 10 9\n",
"10\n2354079 67108864 65536 262144 262144 131072 8388608 536870912 65536 1863321\n",
"23\n77 12 25 7 44 75 80 92 49 151 56 93 59 45 45 39 12 83 99 91 4 70 83\n",
"50\n675 25000 2025 83 450 31250 3750 225 1350 250 72 187500 12000 281250 187500 30000 45000 90000 90 1200 9000 56250 5760 270000 3125 3796875 2250 101250 40 2500 175781250 1250000 45000 2250 3000 31250 46875 135000 643172839 36000 360 140625000 13500 1406250 1125 250 75000 62500 150 6\n",
"19\n371700317 12112039 167375713 7262011 21093827 89809099 600662303 18181979 9363547 41085159 58642669 111546435 645328247 5605027 38706809 14457349 25456133 44227723 44827688\n",
"5\n257161530 536870912 536870912 207197421 387420489\n",
"8\n1522 13 77 218 743 530 404 342\n",
"10\n6295 3400 4042 4592 3673 264 6967 4977 1776 5637\n",
"5\n387420489 427918323 387420489 387420489 1\n",
"20\n16777216 25025 524288 8192 2797 524288 2097152 8388608 1048576 67108864 16777216 1048576 4096 8388608 134217728 67108864 1048576 536870912 67108864 67108864\n",
"2\n875069406 387420489\n",
"7\n111546435 58642669 343378054 167375713 371700317 37498469 89809099\n",
"10\n316079402 536870912 815730721 387420489 893871739 244140625 282475249 310544439 148035889 410338673\n",
"5\n13 67 21 28 21\n",
"2\n329497 999983\n",
"3\n8 20 9\n",
"10\n2354079 67108864 65536 262144 262144 250271 8388608 536870912 65536 1863321\n",
"23\n77 12 25 7 44 75 80 92 49 151 56 93 59 45 18 39 12 83 99 91 4 70 83\n",
"50\n675 25000 2025 83 450 31250 3750 225 1350 250 72 187500 12000 281250 187500 30000 45000 90000 90 1200 9000 56250 5760 270000 3125 3796875 2250 22959 40 2500 175781250 1250000 45000 2250 3000 31250 46875 135000 643172839 36000 360 140625000 13500 1406250 1125 250 75000 62500 150 6\n",
"19\n371700317 12112039 167375713 7262011 21093827 89809099 812222065 18181979 9363547 41085159 58642669 111546435 645328247 5605027 38706809 14457349 25456133 44227723 44827688\n",
"5\n257161530 536870912 909215645 207197421 387420489\n",
"8\n1522 13 77 218 743 530 404 271\n",
"2\n3 10\n",
"10\n6295 5827 4042 4592 3673 264 6967 4977 1776 5637\n",
"5\n332493834 427918323 387420489 387420489 1\n",
"20\n16777216 25025 524288 8192 2797 524288 2097152 8388608 1048576 97108108 16777216 1048576 4096 8388608 134217728 67108864 1048576 536870912 67108864 67108864\n",
"2\n859476554 387420489\n",
"7\n111546435 58642669 343378054 190730883 371700317 37498469 89809099\n",
"10\n238337238 536870912 815730721 387420489 893871739 244140625 282475249 310544439 148035889 410338673\n",
"10\n237254761 1 817430153 2 1 1 1 1 28939360 1\n",
"5\n13 126 21 28 21\n",
"1\n190629401\n",
"1\n243088005\n",
"1\n251841745\n",
"2\n1 10\n",
"3\n2 2 1\n",
"10\n237254761 1 817430153 2 1 1 1 1 90679621 1\n",
"2\n2 10\n",
"1\n381347381\n",
"1\n436345080\n",
"2\n329497 164785\n",
"2\n2 12\n",
"3\n8 20 7\n",
"1\n634165685\n"
],
"output": [
"1\n",
"3\n",
"4\n",
"108\n",
"1\n",
"1\n",
"176451954\n",
"247701073\n",
"18983788\n",
"376284721\n",
"255309592\n",
"2\n",
"544714485\n",
"6\n",
"4\n",
"1\n",
"928377494\n",
"772171400\n",
"985054761\n",
"570\n",
"25706464\n",
"547239398\n",
"1\n",
"1000\n",
"459375\n",
"361\n",
"3\n",
"27\n",
"3\n",
"189\n",
"1\n",
"99140232\n",
"485010245\n",
"687306783\n",
"314760312\n",
"464813776\n",
"526671590\n",
"2\n",
"493879649\n",
"2121350\n",
"869011558\n",
"76\n",
"408463052\n",
"323437305\n",
"3\n",
"10000\n",
"421875\n",
"900\n",
"32\n",
"6\n",
"4\n",
"270\n",
"143297218\n",
"546379784\n",
"285817182\n",
"721141880\n",
"960153565\n",
"474455107\n",
"277438869\n",
"853361250\n",
"627928287\n",
"368\n",
"593920734\n",
"486503461\n",
"196875\n",
"16\n",
"378\n",
"506877987\n",
"549495737\n",
"753806527\n",
"468320665\n",
"889707577\n",
"403518658\n",
"8\n",
"575485871\n",
"246718715\n",
"484562742\n",
"152\n",
"341203443\n",
"549299384\n",
"50050000\n",
"857500\n",
"1\n",
"1\n",
"1\n",
"4\n",
"6\n",
"10000\n",
"6\n",
"1\n",
"1\n",
"32\n",
"8\n",
"189\n",
"1\n"
]
} | 2CODEFORCES
|
396_A. On Number of Decompositions into Multipliers_38263 | You are given an integer m as a product of integers a1, a2, ... an <image>. Your task is to find the number of distinct decompositions of number m into the product of n ordered positive integers.
Decomposition into n products, given in the input, must also be considered in the answer. As the answer can be very large, print it modulo 1000000007 (109 + 7).
Input
The first line contains positive integer n (1 ≤ n ≤ 500). The second line contains space-separated integers a1, a2, ..., an (1 ≤ ai ≤ 109).
Output
In a single line print a single number k — the number of distinct decompositions of number m into n ordered multipliers modulo 1000000007 (109 + 7).
Examples
Input
1
15
Output
1
Input
3
1 1 2
Output
3
Input
2
5 7
Output
4
Note
In the second sample, the get a decomposition of number 2, you need any one number out of three to equal 2, and the rest to equal 1.
In the third sample, the possible ways of decomposing into ordered multipliers are [7,5], [5,7], [1,35], [35,1].
A decomposition of positive integer m into n ordered multipliers is a cortege of positive integers b = {b1, b2, ... bn} such that <image>. Two decompositions b and c are considered different, if there exists index i such that bi ≠ ci. | # Made By Mostafa_Khaled
bot = True
Mod = 1000000007
MAX = 33000
n = int( input() )
A = list( map( int, input().split() ) )
B = [0] * MAX
bePrime = [0] * MAX;
primNum = []
C = []
fac=[1]
for j in range(1, MAX):
fac.append( fac[-1] * j % Mod )
def calc( M, N ):
return fac[M] * pow( fac[N] * fac[M-N] % Mod, Mod-2,Mod ) % Mod
for j in range(2, MAX):
if bePrime[j] == 0:
primNum.append( j )
i = j
while i < MAX:
bePrime[i] = 1
i = i + j
for x in A:
tmp = x
for j in primNum:
while tmp % j == 0:
tmp /= j
B[j] += 1
if tmp > 1:
C.append( tmp )
ans = 1
for j in range(2,MAX):
if B[j] > 0:
ans = ans * calc( n + B[j] -1 , n - 1 ) % Mod
l = len( C )
for j in range(0, l ):
num= 0;
for k in range(0, l ):
if C[k] == C[j]:
num = num + 1
if k > j:
num = 0
break
if num > 0:
ans = ans * calc( n + num -1, n - 1 ) % Mod
print( str( ans % Mod ) )
# Made By Mostafa_Khaled | 3Python3
| {
"input": [
"1\n15\n",
"3\n1 1 2\n",
"2\n5 7\n",
"3\n8 10 8\n",
"1\n536870912\n",
"1\n111546435\n",
"10\n2097152 67108864 65536 262144 262144 131072 8388608 536870912 65536 2097152\n",
"23\n77 12 25 7 44 75 80 92 49 77 56 93 59 45 45 39 86 83 99 91 4 70 83\n",
"50\n675 25000 2025 50 450 31250 3750 225 1350 250 72 187500 12000 281250 187500 30000 45000 90000 90 1200 9000 56250 5760 270000 3125 3796875 2250 101250 40 2500 175781250 1250000 45000 2250 3000 31250 46875 135000 421875000 36000 360 140625000 13500 1406250 1125 250 75000 62500 150 6\n",
"19\n371700317 12112039 167375713 7262011 21093827 89809099 600662303 18181979 9363547 30857731 58642669 111546435 645328247 5605027 38706809 14457349 25456133 44227723 33984931\n",
"5\n387420489 536870912 536870912 536870912 387420489\n",
"2\n1 2\n",
"8\n836 13 77 218 743 530 404 741\n",
"2\n5 10\n",
"2\n1 6\n",
"1\n1\n",
"10\n6295 3400 4042 2769 3673 264 5932 4977 1776 5637\n",
"5\n387420489 244140625 387420489 387420489 1\n",
"20\n16777216 1048576 524288 8192 8192 524288 2097152 8388608 1048576 67108864 16777216 1048576 4096 8388608 134217728 67108864 1048576 536870912 67108864 67108864\n",
"2\n536870912 387420489\n",
"7\n111546435 58642669 600662303 167375713 371700317 33984931 89809099\n",
"10\n214358881 536870912 815730721 387420489 893871739 244140625 282475249 594823321 148035889 410338673\n",
"3\n1 1 1\n",
"10\n237254761 1 817430153 1 1 1 1 1 90679621 1\n",
"5\n14 67 15 28 21\n",
"2\n1000000000 1000000000\n",
"2\n999983 999983\n",
"3\n1 30 1\n",
"3\n1 1 39989\n",
"3\n8 10 6\n",
"1\n220265856\n",
"10\n2097152 67108864 65536 262144 262144 131072 8388608 536870912 65536 1863321\n",
"23\n77 12 25 7 44 75 80 92 49 151 56 93 59 45 45 39 86 83 99 91 4 70 83\n",
"50\n675 25000 2025 83 450 31250 3750 225 1350 250 72 187500 12000 281250 187500 30000 45000 90000 90 1200 9000 56250 5760 270000 3125 3796875 2250 101250 40 2500 175781250 1250000 45000 2250 3000 31250 46875 135000 421875000 36000 360 140625000 13500 1406250 1125 250 75000 62500 150 6\n",
"19\n371700317 12112039 167375713 7262011 21093827 89809099 600662303 18181979 9363547 41085159 58642669 111546435 645328247 5605027 38706809 14457349 25456133 44227723 33984931\n",
"5\n387420489 536870912 536870912 207197421 387420489\n",
"8\n1522 13 77 218 743 530 404 741\n",
"2\n1 5\n",
"10\n6295 3400 4042 4592 3673 264 5932 4977 1776 5637\n",
"5\n387420489 345326591 387420489 387420489 1\n",
"20\n16777216 25025 524288 8192 8192 524288 2097152 8388608 1048576 67108864 16777216 1048576 4096 8388608 134217728 67108864 1048576 536870912 67108864 67108864\n",
"2\n921304979 387420489\n",
"7\n111546435 58642669 600662303 167375713 371700317 37498469 89809099\n",
"10\n214358881 536870912 815730721 387420489 893871739 244140625 282475249 310544439 148035889 410338673\n",
"3\n1 2 1\n",
"10\n237254761 1 817430153 1 1 1 2 1 90679621 1\n",
"5\n13 67 15 28 21\n",
"2\n1000000000 1000100000\n",
"2\n241770 999983\n",
"3\n1 49 1\n",
"2\n2 7\n",
"3\n8 10 9\n",
"10\n2354079 67108864 65536 262144 262144 131072 8388608 536870912 65536 1863321\n",
"23\n77 12 25 7 44 75 80 92 49 151 56 93 59 45 45 39 12 83 99 91 4 70 83\n",
"50\n675 25000 2025 83 450 31250 3750 225 1350 250 72 187500 12000 281250 187500 30000 45000 90000 90 1200 9000 56250 5760 270000 3125 3796875 2250 101250 40 2500 175781250 1250000 45000 2250 3000 31250 46875 135000 643172839 36000 360 140625000 13500 1406250 1125 250 75000 62500 150 6\n",
"19\n371700317 12112039 167375713 7262011 21093827 89809099 600662303 18181979 9363547 41085159 58642669 111546435 645328247 5605027 38706809 14457349 25456133 44227723 44827688\n",
"5\n257161530 536870912 536870912 207197421 387420489\n",
"8\n1522 13 77 218 743 530 404 342\n",
"10\n6295 3400 4042 4592 3673 264 6967 4977 1776 5637\n",
"5\n387420489 427918323 387420489 387420489 1\n",
"20\n16777216 25025 524288 8192 2797 524288 2097152 8388608 1048576 67108864 16777216 1048576 4096 8388608 134217728 67108864 1048576 536870912 67108864 67108864\n",
"2\n875069406 387420489\n",
"7\n111546435 58642669 343378054 167375713 371700317 37498469 89809099\n",
"10\n316079402 536870912 815730721 387420489 893871739 244140625 282475249 310544439 148035889 410338673\n",
"5\n13 67 21 28 21\n",
"2\n329497 999983\n",
"3\n8 20 9\n",
"10\n2354079 67108864 65536 262144 262144 250271 8388608 536870912 65536 1863321\n",
"23\n77 12 25 7 44 75 80 92 49 151 56 93 59 45 18 39 12 83 99 91 4 70 83\n",
"50\n675 25000 2025 83 450 31250 3750 225 1350 250 72 187500 12000 281250 187500 30000 45000 90000 90 1200 9000 56250 5760 270000 3125 3796875 2250 22959 40 2500 175781250 1250000 45000 2250 3000 31250 46875 135000 643172839 36000 360 140625000 13500 1406250 1125 250 75000 62500 150 6\n",
"19\n371700317 12112039 167375713 7262011 21093827 89809099 812222065 18181979 9363547 41085159 58642669 111546435 645328247 5605027 38706809 14457349 25456133 44227723 44827688\n",
"5\n257161530 536870912 909215645 207197421 387420489\n",
"8\n1522 13 77 218 743 530 404 271\n",
"2\n3 10\n",
"10\n6295 5827 4042 4592 3673 264 6967 4977 1776 5637\n",
"5\n332493834 427918323 387420489 387420489 1\n",
"20\n16777216 25025 524288 8192 2797 524288 2097152 8388608 1048576 97108108 16777216 1048576 4096 8388608 134217728 67108864 1048576 536870912 67108864 67108864\n",
"2\n859476554 387420489\n",
"7\n111546435 58642669 343378054 190730883 371700317 37498469 89809099\n",
"10\n238337238 536870912 815730721 387420489 893871739 244140625 282475249 310544439 148035889 410338673\n",
"10\n237254761 1 817430153 2 1 1 1 1 28939360 1\n",
"5\n13 126 21 28 21\n",
"1\n190629401\n",
"1\n243088005\n",
"1\n251841745\n",
"2\n1 10\n",
"3\n2 2 1\n",
"10\n237254761 1 817430153 2 1 1 1 1 90679621 1\n",
"2\n2 10\n",
"1\n381347381\n",
"1\n436345080\n",
"2\n329497 164785\n",
"2\n2 12\n",
"3\n8 20 7\n",
"1\n634165685\n"
],
"output": [
"1\n",
"3\n",
"4\n",
"108\n",
"1\n",
"1\n",
"176451954\n",
"247701073\n",
"18983788\n",
"376284721\n",
"255309592\n",
"2\n",
"544714485\n",
"6\n",
"4\n",
"1\n",
"928377494\n",
"772171400\n",
"985054761\n",
"570\n",
"25706464\n",
"547239398\n",
"1\n",
"1000\n",
"459375\n",
"361\n",
"3\n",
"27\n",
"3\n",
"189\n",
"1\n",
"99140232\n",
"485010245\n",
"687306783\n",
"314760312\n",
"464813776\n",
"526671590\n",
"2\n",
"493879649\n",
"2121350\n",
"869011558\n",
"76\n",
"408463052\n",
"323437305\n",
"3\n",
"10000\n",
"421875\n",
"900\n",
"32\n",
"6\n",
"4\n",
"270\n",
"143297218\n",
"546379784\n",
"285817182\n",
"721141880\n",
"960153565\n",
"474455107\n",
"277438869\n",
"853361250\n",
"627928287\n",
"368\n",
"593920734\n",
"486503461\n",
"196875\n",
"16\n",
"378\n",
"506877987\n",
"549495737\n",
"753806527\n",
"468320665\n",
"889707577\n",
"403518658\n",
"8\n",
"575485871\n",
"246718715\n",
"484562742\n",
"152\n",
"341203443\n",
"549299384\n",
"50050000\n",
"857500\n",
"1\n",
"1\n",
"1\n",
"4\n",
"6\n",
"10000\n",
"6\n",
"1\n",
"1\n",
"32\n",
"8\n",
"189\n",
"1\n"
]
} | 2CODEFORCES
|
396_A. On Number of Decompositions into Multipliers_38264 | You are given an integer m as a product of integers a1, a2, ... an <image>. Your task is to find the number of distinct decompositions of number m into the product of n ordered positive integers.
Decomposition into n products, given in the input, must also be considered in the answer. As the answer can be very large, print it modulo 1000000007 (109 + 7).
Input
The first line contains positive integer n (1 ≤ n ≤ 500). The second line contains space-separated integers a1, a2, ..., an (1 ≤ ai ≤ 109).
Output
In a single line print a single number k — the number of distinct decompositions of number m into n ordered multipliers modulo 1000000007 (109 + 7).
Examples
Input
1
15
Output
1
Input
3
1 1 2
Output
3
Input
2
5 7
Output
4
Note
In the second sample, the get a decomposition of number 2, you need any one number out of three to equal 2, and the rest to equal 1.
In the third sample, the possible ways of decomposing into ordered multipliers are [7,5], [5,7], [1,35], [35,1].
A decomposition of positive integer m into n ordered multipliers is a cortege of positive integers b = {b1, b2, ... bn} such that <image>. Two decompositions b and c are considered different, if there exists index i such that bi ≠ ci. | import java.io.*;
import java.math.BigInteger;
import java.util.*;
public class cf397c {
static FastIO in = new FastIO(), out = in;
static ArrayList<Integer> primes;
static long MOD = (long)1e9 + 7;
static int MAX = (int)Math.sqrt(1e9) + 10;
static long[] facts = new long[50000];
static long[] invFacts = new long[50000];
public static void main(String[] args) {
primes = new ArrayList<Integer>();
boolean[] isPrime = new boolean[MAX];
Arrays.fill(isPrime, true);
isPrime[0] = isPrime[1] = false;
for(int i=0; i*i<MAX; i++)
if(isPrime[i])
for(int j=i*i; j<MAX; j+=i)
isPrime[j] = false;
for(int i=0; i<MAX; i++)
if(isPrime[i])
primes.add(i);
facts[0] = 1;
for(int i=1; i<facts.length; i++)
facts[i] = (facts[i-1] * i) % MOD;
for(int i=0; i<facts.length; i++)
invFacts[i] = BigInteger.valueOf(facts[i]).modInverse(BigInteger.valueOf(MOD)).longValue();
int n = in.nextInt();
long ans = 1;
HashMap<Integer,Integer> map = new HashMap<Integer,Integer>();
for(int i=0; i<n; i++)
for(int x : getPrimes(in.nextInt()))
if(map.containsKey(x)) map.put(x, map.get(x)+1);
else map.put(x, 1);
for(int x : map.keySet())
ans = (ans * choose(n + map.get(x)-1, n-1)) % MOD;
out.println(ans);
out.close();
}
static ArrayList<Integer> getPrimes(int x) {
ArrayList<Integer> ret = new ArrayList<Integer>();
for(int z : primes) {
if(z > x) break;
while(x%z == 0) {
x /= z;
ret.add(z);
}
}
if(x != 1) ret.add(x);
return ret;
}
static long choose(int n, int k) {
if(k == 0) return 1;
if(n < k) return 0;
long ret = facts[n];
ret = (ret * invFacts[k]) % MOD;
ret = (ret * invFacts[n-k]) % MOD;
return ret;
}
static class FastIO extends PrintWriter {
BufferedReader br;
StringTokenizer st;
public FastIO() {
this(System.in, System.out);
}
public FastIO(InputStream in, OutputStream out) {
super(new BufferedWriter(new OutputStreamWriter(out)));
br = new BufferedReader(new InputStreamReader(in));
scanLine();
}
public void scanLine() {
try {
st = new StringTokenizer(br.readLine().trim());
} catch (Exception e) {
throw new RuntimeException(e.getMessage());
}
}
public int numTokens() {
if (!st.hasMoreTokens()) {
scanLine();
return numTokens();
}
return st.countTokens();
}
public String next() {
if (!st.hasMoreTokens()) {
scanLine();
return next();
}
return st.nextToken();
}
public double nextDouble() {
return Double.parseDouble(next());
}
public long nextLong() {
return Long.parseLong(next());
}
public int nextInt() {
return Integer.parseInt(next());
}
}
}
| 4JAVA
| {
"input": [
"1\n15\n",
"3\n1 1 2\n",
"2\n5 7\n",
"3\n8 10 8\n",
"1\n536870912\n",
"1\n111546435\n",
"10\n2097152 67108864 65536 262144 262144 131072 8388608 536870912 65536 2097152\n",
"23\n77 12 25 7 44 75 80 92 49 77 56 93 59 45 45 39 86 83 99 91 4 70 83\n",
"50\n675 25000 2025 50 450 31250 3750 225 1350 250 72 187500 12000 281250 187500 30000 45000 90000 90 1200 9000 56250 5760 270000 3125 3796875 2250 101250 40 2500 175781250 1250000 45000 2250 3000 31250 46875 135000 421875000 36000 360 140625000 13500 1406250 1125 250 75000 62500 150 6\n",
"19\n371700317 12112039 167375713 7262011 21093827 89809099 600662303 18181979 9363547 30857731 58642669 111546435 645328247 5605027 38706809 14457349 25456133 44227723 33984931\n",
"5\n387420489 536870912 536870912 536870912 387420489\n",
"2\n1 2\n",
"8\n836 13 77 218 743 530 404 741\n",
"2\n5 10\n",
"2\n1 6\n",
"1\n1\n",
"10\n6295 3400 4042 2769 3673 264 5932 4977 1776 5637\n",
"5\n387420489 244140625 387420489 387420489 1\n",
"20\n16777216 1048576 524288 8192 8192 524288 2097152 8388608 1048576 67108864 16777216 1048576 4096 8388608 134217728 67108864 1048576 536870912 67108864 67108864\n",
"2\n536870912 387420489\n",
"7\n111546435 58642669 600662303 167375713 371700317 33984931 89809099\n",
"10\n214358881 536870912 815730721 387420489 893871739 244140625 282475249 594823321 148035889 410338673\n",
"3\n1 1 1\n",
"10\n237254761 1 817430153 1 1 1 1 1 90679621 1\n",
"5\n14 67 15 28 21\n",
"2\n1000000000 1000000000\n",
"2\n999983 999983\n",
"3\n1 30 1\n",
"3\n1 1 39989\n",
"3\n8 10 6\n",
"1\n220265856\n",
"10\n2097152 67108864 65536 262144 262144 131072 8388608 536870912 65536 1863321\n",
"23\n77 12 25 7 44 75 80 92 49 151 56 93 59 45 45 39 86 83 99 91 4 70 83\n",
"50\n675 25000 2025 83 450 31250 3750 225 1350 250 72 187500 12000 281250 187500 30000 45000 90000 90 1200 9000 56250 5760 270000 3125 3796875 2250 101250 40 2500 175781250 1250000 45000 2250 3000 31250 46875 135000 421875000 36000 360 140625000 13500 1406250 1125 250 75000 62500 150 6\n",
"19\n371700317 12112039 167375713 7262011 21093827 89809099 600662303 18181979 9363547 41085159 58642669 111546435 645328247 5605027 38706809 14457349 25456133 44227723 33984931\n",
"5\n387420489 536870912 536870912 207197421 387420489\n",
"8\n1522 13 77 218 743 530 404 741\n",
"2\n1 5\n",
"10\n6295 3400 4042 4592 3673 264 5932 4977 1776 5637\n",
"5\n387420489 345326591 387420489 387420489 1\n",
"20\n16777216 25025 524288 8192 8192 524288 2097152 8388608 1048576 67108864 16777216 1048576 4096 8388608 134217728 67108864 1048576 536870912 67108864 67108864\n",
"2\n921304979 387420489\n",
"7\n111546435 58642669 600662303 167375713 371700317 37498469 89809099\n",
"10\n214358881 536870912 815730721 387420489 893871739 244140625 282475249 310544439 148035889 410338673\n",
"3\n1 2 1\n",
"10\n237254761 1 817430153 1 1 1 2 1 90679621 1\n",
"5\n13 67 15 28 21\n",
"2\n1000000000 1000100000\n",
"2\n241770 999983\n",
"3\n1 49 1\n",
"2\n2 7\n",
"3\n8 10 9\n",
"10\n2354079 67108864 65536 262144 262144 131072 8388608 536870912 65536 1863321\n",
"23\n77 12 25 7 44 75 80 92 49 151 56 93 59 45 45 39 12 83 99 91 4 70 83\n",
"50\n675 25000 2025 83 450 31250 3750 225 1350 250 72 187500 12000 281250 187500 30000 45000 90000 90 1200 9000 56250 5760 270000 3125 3796875 2250 101250 40 2500 175781250 1250000 45000 2250 3000 31250 46875 135000 643172839 36000 360 140625000 13500 1406250 1125 250 75000 62500 150 6\n",
"19\n371700317 12112039 167375713 7262011 21093827 89809099 600662303 18181979 9363547 41085159 58642669 111546435 645328247 5605027 38706809 14457349 25456133 44227723 44827688\n",
"5\n257161530 536870912 536870912 207197421 387420489\n",
"8\n1522 13 77 218 743 530 404 342\n",
"10\n6295 3400 4042 4592 3673 264 6967 4977 1776 5637\n",
"5\n387420489 427918323 387420489 387420489 1\n",
"20\n16777216 25025 524288 8192 2797 524288 2097152 8388608 1048576 67108864 16777216 1048576 4096 8388608 134217728 67108864 1048576 536870912 67108864 67108864\n",
"2\n875069406 387420489\n",
"7\n111546435 58642669 343378054 167375713 371700317 37498469 89809099\n",
"10\n316079402 536870912 815730721 387420489 893871739 244140625 282475249 310544439 148035889 410338673\n",
"5\n13 67 21 28 21\n",
"2\n329497 999983\n",
"3\n8 20 9\n",
"10\n2354079 67108864 65536 262144 262144 250271 8388608 536870912 65536 1863321\n",
"23\n77 12 25 7 44 75 80 92 49 151 56 93 59 45 18 39 12 83 99 91 4 70 83\n",
"50\n675 25000 2025 83 450 31250 3750 225 1350 250 72 187500 12000 281250 187500 30000 45000 90000 90 1200 9000 56250 5760 270000 3125 3796875 2250 22959 40 2500 175781250 1250000 45000 2250 3000 31250 46875 135000 643172839 36000 360 140625000 13500 1406250 1125 250 75000 62500 150 6\n",
"19\n371700317 12112039 167375713 7262011 21093827 89809099 812222065 18181979 9363547 41085159 58642669 111546435 645328247 5605027 38706809 14457349 25456133 44227723 44827688\n",
"5\n257161530 536870912 909215645 207197421 387420489\n",
"8\n1522 13 77 218 743 530 404 271\n",
"2\n3 10\n",
"10\n6295 5827 4042 4592 3673 264 6967 4977 1776 5637\n",
"5\n332493834 427918323 387420489 387420489 1\n",
"20\n16777216 25025 524288 8192 2797 524288 2097152 8388608 1048576 97108108 16777216 1048576 4096 8388608 134217728 67108864 1048576 536870912 67108864 67108864\n",
"2\n859476554 387420489\n",
"7\n111546435 58642669 343378054 190730883 371700317 37498469 89809099\n",
"10\n238337238 536870912 815730721 387420489 893871739 244140625 282475249 310544439 148035889 410338673\n",
"10\n237254761 1 817430153 2 1 1 1 1 28939360 1\n",
"5\n13 126 21 28 21\n",
"1\n190629401\n",
"1\n243088005\n",
"1\n251841745\n",
"2\n1 10\n",
"3\n2 2 1\n",
"10\n237254761 1 817430153 2 1 1 1 1 90679621 1\n",
"2\n2 10\n",
"1\n381347381\n",
"1\n436345080\n",
"2\n329497 164785\n",
"2\n2 12\n",
"3\n8 20 7\n",
"1\n634165685\n"
],
"output": [
"1\n",
"3\n",
"4\n",
"108\n",
"1\n",
"1\n",
"176451954\n",
"247701073\n",
"18983788\n",
"376284721\n",
"255309592\n",
"2\n",
"544714485\n",
"6\n",
"4\n",
"1\n",
"928377494\n",
"772171400\n",
"985054761\n",
"570\n",
"25706464\n",
"547239398\n",
"1\n",
"1000\n",
"459375\n",
"361\n",
"3\n",
"27\n",
"3\n",
"189\n",
"1\n",
"99140232\n",
"485010245\n",
"687306783\n",
"314760312\n",
"464813776\n",
"526671590\n",
"2\n",
"493879649\n",
"2121350\n",
"869011558\n",
"76\n",
"408463052\n",
"323437305\n",
"3\n",
"10000\n",
"421875\n",
"900\n",
"32\n",
"6\n",
"4\n",
"270\n",
"143297218\n",
"546379784\n",
"285817182\n",
"721141880\n",
"960153565\n",
"474455107\n",
"277438869\n",
"853361250\n",
"627928287\n",
"368\n",
"593920734\n",
"486503461\n",
"196875\n",
"16\n",
"378\n",
"506877987\n",
"549495737\n",
"753806527\n",
"468320665\n",
"889707577\n",
"403518658\n",
"8\n",
"575485871\n",
"246718715\n",
"484562742\n",
"152\n",
"341203443\n",
"549299384\n",
"50050000\n",
"857500\n",
"1\n",
"1\n",
"1\n",
"4\n",
"6\n",
"10000\n",
"6\n",
"1\n",
"1\n",
"32\n",
"8\n",
"189\n",
"1\n"
]
} | 2CODEFORCES
|
418_B. Cunning Gena_38265 | A boy named Gena really wants to get to the "Russian Code Cup" finals, or at least get a t-shirt. But the offered problems are too complex, so he made an arrangement with his n friends that they will solve the problems for him.
The participants are offered m problems on the contest. For each friend, Gena knows what problems he can solve. But Gena's friends won't agree to help Gena for nothing: the i-th friend asks Gena xi rubles for his help in solving all the problems he can. Also, the friend agreed to write a code for Gena only if Gena's computer is connected to at least ki monitors, each monitor costs b rubles.
Gena is careful with money, so he wants to spend as little money as possible to solve all the problems. Help Gena, tell him how to spend the smallest possible amount of money. Initially, there's no monitors connected to Gena's computer.
Input
The first line contains three integers n, m and b (1 ≤ n ≤ 100; 1 ≤ m ≤ 20; 1 ≤ b ≤ 109) — the number of Gena's friends, the number of problems and the cost of a single monitor.
The following 2n lines describe the friends. Lines number 2i and (2i + 1) contain the information about the i-th friend. The 2i-th line contains three integers xi, ki and mi (1 ≤ xi ≤ 109; 1 ≤ ki ≤ 109; 1 ≤ mi ≤ m) — the desired amount of money, monitors and the number of problems the friend can solve. The (2i + 1)-th line contains mi distinct positive integers — the numbers of problems that the i-th friend can solve. The problems are numbered from 1 to m.
Output
Print the minimum amount of money Gena needs to spend to solve all the problems. Or print -1, if this cannot be achieved.
Examples
Input
2 2 1
100 1 1
2
100 2 1
1
Output
202
Input
3 2 5
100 1 1
1
100 1 1
2
200 1 2
1 2
Output
205
Input
1 2 1
1 1 1
1
Output
-1 | #include <bits/stdc++.h>
using namespace std;
const int MOD = 1000 * 1000 * 1000 + 7;
const long long INF = 2000 * 1000 * 1000 * 1ll * 2000 * 1000 * 1000;
const double EPS = 1e-9;
const double pi = acos(-1.0);
const int maxn = 110;
template <typename T>
inline T sqr(T n) {
return (n * n);
}
struct item {
int x, k, mask;
void read() {
int size, xx;
scanf("%d%d%d", &x, &k, &size);
mask = 0;
for (int i = 0; i < size; i++) {
scanf("%d", &xx);
mask |= (1 << (xx - 1));
}
}
bool operator<(const item& it) const { return k < it.k; }
};
int n, m;
item a[maxn];
long long dp[1 << 20], res = INF, b;
int main() {
scanf("%d%d%I64d", &n, &m, &b);
for (int i = 0; i < n; i++) {
a[i].read();
}
sort(a, a + n);
for (int i = 1; i < (1 << m); i++) {
dp[i] = INF;
}
for (int i = 0; i < n; i++) {
for (int mask = 0; mask < (1 << m); mask++) {
dp[mask | a[i].mask] = min(dp[mask | a[i].mask], dp[mask] + a[i].x);
}
if (dp[(1 << m) - 1] != INF) res = min(res, dp[(1 << m) - 1] + a[i].k * b);
}
if (res == INF)
puts("-1");
else
printf("%I64d", res);
return 0;
}
| 2C++
| {
"input": [
"2 2 1\n100 1 1\n2\n100 2 1\n1\n",
"1 2 1\n1 1 1\n1\n",
"3 2 5\n100 1 1\n1\n100 1 1\n2\n200 1 2\n1 2\n",
"1 1 100000000\n1 100000000 1\n1\n",
"4 4 1000000000\n1000000000 1000000000 1\n1\n1000000000 1000000000 1\n2\n1000000000 1000000000 1\n3\n1000000000 1000000000 1\n4\n",
"1 20 1000000000\n1000000000 999999999 20\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20\n",
"1 1 1000000000\n1 1000000000 1\n1\n",
"1 1 1000000000\n1000000000 1000000000 1\n1\n",
"4 1 968348057\n2 48 1\n1\n9 49 1\n1\n8 75 1\n1\n6 91 1\n1\n",
"20 5 49\n2861 8983 2\n2 3\n784 8430 3\n1 4 5\n1620 1069 1\n2\n3087 5088 2\n2 4\n3701 4255 3\n1 4 5\n8060 6398 2\n2 5\n8535 4264 2\n1 4\n9688 7243 3\n3 4 5\n9516 7770 2\n3 4\n5882 2436 2\n3 4\n1465 5869 3\n3 4 5\n3599 796 3\n1 2 3\n4236 3206 3\n2 3 5\n5856 5460 2\n1 4\n9014 4852 1\n4\n2242 6892 4\n2 3 4 5\n540 8012 2\n1 5\n4163 8444 2\n1 2\n3980 9132 3\n1 2 3\n3218 4175 3\n1 3 4\n",
"24 1 360763164\n62 711 1\n1\n89 1352 1\n1\n18 1448 1\n1\n76 1775 1\n1\n58 2392 1\n1\n11 3323 1\n1\n49 3649 1\n1\n49 3675 1\n1\n6 3787 1\n1\n47 3960 1\n1\n23 3981 1\n1\n72 4135 1\n1\n70 5170 1\n1\n17 5354 1\n1\n68 5948 1\n1\n77 5977 1\n1\n28 6077 1\n1\n13 6811 1\n1\n12 6954 1\n1\n72 7160 1\n1\n16 7823 1\n1\n50 8291 1\n1\n66 8895 1\n1\n26 9198 1\n1\n",
"3 3 1000000000\n1000000000 10 1\n1\n1000000000 10000 1\n2\n1000000000 10 1\n3\n",
"1 1 1000000000\n1000000000 999999 1\n1\n",
"3 2 1\n1 3 1\n1\n2 1 1\n1\n1 3 1\n2\n",
"6 3 100\n4000 1 1\n1\n4000 1 1\n2\n4000 1 1\n3\n1 100 1\n1\n1 100 1\n2\n1 100 1\n3\n",
"9 10 612190254\n647427374 619446694 5\n2 5 6 7 9\n327126452 66103113 2\n3 6\n428798466 894116011 8\n1 2 3 5 6 7 8 9\n552295232 715623413 6\n1 5 6 7 9 10\n562548898 887461531 5\n1 2 4 5 8\n397537442 434061945 3\n1 3 7\n948545278 759564726 3\n1 5 6\n785463564 977048557 8\n1 2 3 4 5 7 8 10\n524917958 125507729 6\n2 3 4 7 9 10\n",
"2 1 5\n10000 1 1\n1\n1 2 1\n1\n",
"3 2 1\n10000000 1 1\n1\n1 100000000 1\n1\n1 1000000000 1\n2\n",
"4 2 1\n1 1 1\n1\n1 1 1\n1\n2 2 1\n2\n2 2 1\n2\n",
"24 1 31\n674 5162 1\n1\n7452 9789 1\n1\n8802 218 1\n1\n1533 776 1\n1\n5823 8058 1\n1\n5132 611 1\n1\n7985 2249 1\n1\n7138 6049 1\n1\n9496 4206 1\n1\n8864 5447 1\n1\n2802 123 1\n1\n8630 4572 1\n1\n7500 7870 1\n1\n2725 4917 1\n1\n7820 8768 1\n1\n4666 5577 1\n1\n9361 4328 1\n1\n6099 4113 1\n1\n4242 5512 1\n1\n7736 872 1\n1\n2267 1716 1\n1\n3514 3950 1\n1\n1757 2966 1\n1\n6438 2126 1\n1\n",
"1 20 1000000000\n1000000000 1000000000 20\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20\n",
"3 2 1\n100000000 1 1\n1\n1 100000000 1\n1\n1 1000000000 1\n2\n",
"2 3 123\n123 123 2\n1 2\n123 123 2\n2 3\n",
"24 2 31\n5162 8291 1\n1\n8802 218 1\n1\n1533 776 1\n1\n5823 8058 1\n1\n5132 611 1\n1\n5948 9496 1\n1\n8864 5447 1\n1\n2802 123 1\n1\n8630 4572 1\n1\n4917 6954 1\n1\n5577 7823 1\n1\n4328 5977 1\n1\n4113 5354 1\n1\n5512 5170 1\n1\n872 3323 1\n1\n3950 6811 1\n1\n2966 1775 1\n1\n711 3520 1\n1\n8983 2665 1\n1\n8430 7857 1\n1\n1069 8448 1\n1\n2983 3701 1\n1\n6398 6118 1\n1\n4264 7038 1\n1\n",
"2 1 1\n1000000000 1 1\n1\n1 3 1\n1\n",
"3 3 7\n32 11 1\n3\n85 49 3\n1 2 3\n38 49 2\n1 3\n",
"4 1 1\n74 62 1\n1\n52 89 1\n1\n2 18 1\n1\n33 76 1\n1\n",
"7 2 738042723\n5 6 2\n1 2\n8 23 1\n1\n6 47 1\n2\n4 49 1\n2\n2 49 1\n1\n10 70 1\n1\n10 72 2\n1 2\n",
"2 2 123\n10 7 1\n1\n20 6 1\n2\n",
"4 2 1\n62 91 1\n1\n2 18 1\n1\n33 76 1\n1\n23 58 1\n1\n",
"16 10 715623412\n44 64 2\n2 10\n51 254 4\n1 5 7 10\n13 703 7\n1 3 5 7 8 9 10\n14 1199 5\n1 4 5 7 8\n66 1608 4\n2 5 6 8\n14 2049 2\n1 10\n71 4985 3\n3 7 8\n89 5099 4\n2 6 8 9\n51 6460 5\n1 2 3 5 10\n13 6506 1\n5\n45 7559 4\n2 4 7 10\n9 8127 5\n1 5 6 9 10\n90 8205 4\n2 7 8 9\n94 8817 7\n1 2 3 4 7 8 10\n13 9427 5\n3 7 8 9 10\n11 9708 3\n2 3 6\n",
"4 4 1000000000\n1000000000 1000000000 1\n1\n1000000000 1000000000 1\n2\n1000000000 1000000000 1\n3\n1000000000 1000100000 1\n4\n",
"1 20 1000000000\n1000000000 999999999 20\n1 2 3 4 5 6 7 8 9 10 11 12 13 10 15 16 17 18 19 20\n",
"1 1 0000000000\n1000000000 1000000000 1\n1\n",
"3 3 1000000000\n1010000000 10 1\n1\n1000000000 10000 1\n2\n1000000000 10 1\n3\n",
"1 1 1000000000\n1000000000 1635596 1\n1\n",
"6 3 100\n4000 1 1\n1\n5646 1 1\n2\n4000 1 1\n3\n1 100 1\n1\n1 100 1\n2\n1 100 1\n3\n",
"9 10 612190254\n647427374 619446694 5\n2 5 6 7 9\n327126452 66103113 2\n3 6\n428798466 894116011 8\n1 2 3 4 6 7 8 9\n552295232 715623413 6\n1 5 6 7 9 10\n562548898 887461531 5\n1 2 4 5 8\n397537442 434061945 3\n1 3 7\n948545278 759564726 3\n1 5 6\n785463564 977048557 8\n1 2 3 4 5 7 8 10\n524917958 125507729 6\n2 3 4 7 9 10\n",
"3 2 1\n10001000 1 1\n1\n1 100000000 1\n1\n1 1000000000 1\n2\n",
"4 2 1\n1 1 1\n1\n1 2 1\n1\n2 2 1\n2\n2 2 1\n2\n",
"2 3 123\n123 123 2\n1 2\n136 123 2\n2 3\n",
"24 2 31\n5162 8291 1\n1\n8802 218 1\n1\n1533 776 1\n1\n5823 8058 1\n1\n5132 611 1\n1\n5948 9496 1\n1\n8864 5447 1\n1\n2802 123 1\n1\n8630 4572 1\n1\n4917 6954 1\n1\n5577 7823 1\n1\n4328 5977 1\n1\n4113 5354 1\n1\n5512 5170 1\n1\n872 3323 1\n1\n3950 6811 1\n1\n2966 1775 1\n1\n711 3520 1\n1\n8983 2665 1\n1\n8430 7857 1\n1\n1069 8448 1\n1\n2983 3701 1\n2\n6398 6118 1\n1\n4264 7038 1\n1\n",
"2 2 1\n100 0 1\n2\n100 2 1\n1\n",
"3 2 5\n100 1 1\n1\n100 1 1\n2\n281 1 2\n1 2\n",
"3 3 1000000000\n1010000000 10 1\n1\n1000000000 10001 1\n2\n1000000000 10 1\n3\n",
"1 1 1000000010\n1000000000 1635596 1\n1\n",
"3 3 1000000000\n1010000000 10 1\n1\n1001000000 10001 1\n2\n1000000000 10 1\n3\n",
"3 3 1000000100\n1010000000 10 1\n1\n1001000000 10001 1\n2\n1000000000 10 1\n3\n",
"9 10 612190254\n647427374 898265852 5\n2 5 6 7 9\n327126452 43778674 2\n3 6\n428798466 894116011 8\n1 2 3 4 6 7 8 9\n371736034 715623413 6\n1 5 6 7 9 10\n562548898 887461531 5\n1 2 4 5 8\n397537442 434061945 3\n1 3 7\n948545278 759564726 3\n1 5 6\n785463564 977048557 8\n1 2 3 4 5 7 8 10\n524917958 125507729 6\n2 3 4 7 9 10\n",
"3 3 1000000100\n1010000000 10 1\n1\n1001000000 10101 1\n2\n1000000000 10 1\n3\n",
"9 10 612190254\n647427374 898265852 5\n2 5 6 7 9\n472776474 43778674 2\n3 6\n428798466 894116011 8\n1 2 3 4 6 7 8 9\n371736034 715623413 6\n1 5 6 7 9 10\n562548898 887461531 5\n1 2 4 5 8\n397537442 434061945 3\n1 3 7\n948545278 759564726 3\n1 5 6\n785463564 977048557 8\n1 2 3 4 10 7 8 10\n524917958 125507729 6\n2 3 4 7 9 10\n",
"9 10 612190254\n647427374 898265852 5\n2 5 6 7 9\n472776474 43778674 2\n3 6\n428798466 894116011 8\n1 2 3 4 6 7 8 9\n371736034 715623413 6\n1 5 6 7 9 10\n562548898 887461531 5\n1 4 4 5 8\n397537442 434061945 3\n1 3 7\n948545278 759564726 3\n1 5 6\n785463564 977048557 8\n1 2 3 4 10 7 8 10\n524917958 125507729 6\n2 3 4 7 9 10\n",
"1 1 100000000\n1 110000000 1\n1\n",
"4 4 1000000000\n1000100000 1000000000 1\n1\n1000000000 1000000000 1\n2\n1000000000 1000000000 1\n3\n1000000000 1000000000 1\n4\n",
"1 1 0000000000\n1 1000000000 1\n1\n",
"20 5 49\n2861 8983 2\n2 3\n784 8430 3\n1 4 5\n1620 1069 1\n2\n3087 5088 2\n2 4\n3701 4255 3\n1 4 5\n198 6398 2\n2 5\n8535 4264 2\n1 4\n9688 7243 3\n3 4 5\n9516 7770 2\n3 4\n5882 2436 2\n3 4\n1465 5869 3\n3 4 5\n3599 796 3\n1 2 3\n4236 3206 3\n2 3 5\n5856 5460 2\n1 4\n9014 4852 1\n4\n2242 6892 4\n2 3 4 5\n540 8012 2\n1 5\n4163 8444 2\n1 2\n3980 9132 3\n1 2 3\n3218 4175 3\n1 3 4\n",
"24 1 360763164\n62 711 1\n1\n89 1352 1\n1\n18 1448 1\n1\n76 1775 1\n1\n58 2392 1\n1\n11 3323 1\n1\n49 3649 1\n1\n49 3675 1\n1\n6 3787 1\n1\n47 3960 1\n1\n23 3981 1\n1\n72 4135 1\n1\n70 5170 1\n1\n17 5354 1\n1\n68 5948 1\n1\n77 5977 1\n1\n28 6077 1\n1\n13 6811 1\n1\n12 6954 1\n1\n72 7160 1\n1\n16 7823 1\n1\n50 8291 1\n1\n66 8895 1\n1\n39 9198 1\n1\n",
"3 3 1000000000\n1000000000 10 1\n1\n1000000010 10000 1\n2\n1000000000 10 1\n3\n",
"2 2 123\n10 7 1\n2\n20 6 1\n2\n",
"4 2 1\n62 91 1\n1\n2 10 1\n1\n33 76 1\n1\n23 58 1\n1\n",
"1 3 1\n1 1 1\n1\n",
"4 4 1000000000\n1000000000 1000000000 1\n1\n1000000000 1000000000 1\n2\n1000000000 1000000000 1\n3\n1000000000 1000100000 1\n1\n",
"1 20 1000000000\n1000000000 999999999 20\n1 3 3 4 5 6 7 8 9 10 11 12 13 10 15 16 17 18 19 20\n",
"1 1 0000000000\n1000000000 1000000100 1\n1\n",
"6 6 100\n4000 1 1\n1\n5646 1 1\n2\n4000 1 1\n3\n1 100 1\n1\n1 100 1\n2\n1 100 1\n3\n",
"9 10 612190254\n647427374 898265852 5\n2 5 6 7 9\n327126452 66103113 2\n3 6\n428798466 894116011 8\n1 2 3 4 6 7 8 9\n552295232 715623413 6\n1 5 6 7 9 10\n562548898 887461531 5\n1 2 4 5 8\n397537442 434061945 3\n1 3 7\n948545278 759564726 3\n1 5 6\n785463564 977048557 8\n1 2 3 4 5 7 8 10\n524917958 125507729 6\n2 3 4 7 9 10\n",
"2 6 123\n123 123 2\n1 2\n136 123 2\n2 3\n",
"24 2 31\n5162 8291 1\n1\n8802 218 1\n1\n1533 776 1\n1\n5823 8058 1\n1\n5132 611 1\n1\n5948 9496 1\n1\n8864 5447 1\n1\n2802 21 1\n1\n8630 4572 1\n1\n4917 6954 1\n1\n5577 7823 1\n1\n4328 5977 1\n1\n4113 5354 1\n1\n5512 5170 1\n1\n872 3323 1\n1\n3950 6811 1\n1\n2966 1775 1\n1\n711 3520 1\n1\n8983 2665 1\n1\n8430 7857 1\n1\n1069 8448 1\n1\n2983 3701 1\n2\n6398 6118 1\n1\n4264 7038 1\n1\n",
"4 2 1\n62 66 1\n1\n2 10 1\n1\n33 76 1\n1\n23 58 1\n1\n",
"1 3 0\n1 1 1\n1\n",
"1 20 1000000000\n1000000000 999999999 20\n1 3 3 4 5 6 7 1 9 10 11 12 13 10 15 16 17 18 19 20\n",
"1 2 1000000010\n1000000000 1635596 1\n1\n",
"9 10 612190254\n647427374 898265852 5\n2 5 6 7 9\n327126452 43778674 2\n3 6\n428798466 894116011 8\n1 2 3 4 6 7 8 9\n552295232 715623413 6\n1 5 6 7 9 10\n562548898 887461531 5\n1 2 4 5 8\n397537442 434061945 3\n1 3 7\n948545278 759564726 3\n1 5 6\n785463564 977048557 8\n1 2 3 4 5 7 8 10\n524917958 125507729 6\n2 3 4 7 9 10\n",
"2 6 123\n123 123 2\n1 2\n136 246 2\n2 3\n",
"24 2 31\n5162 14365 1\n1\n8802 218 1\n1\n1533 776 1\n1\n5823 8058 1\n1\n5132 611 1\n1\n5948 9496 1\n1\n8864 5447 1\n1\n2802 21 1\n1\n8630 4572 1\n1\n4917 6954 1\n1\n5577 7823 1\n1\n4328 5977 1\n1\n4113 5354 1\n1\n5512 5170 1\n1\n872 3323 1\n1\n3950 6811 1\n1\n2966 1775 1\n1\n711 3520 1\n1\n8983 2665 1\n1\n8430 7857 1\n1\n1069 8448 1\n1\n2983 3701 1\n2\n6398 6118 1\n1\n4264 7038 1\n1\n",
"1 2 1000000010\n1000000001 1635596 1\n1\n",
"2 6 123\n123 123 2\n1 2\n136 57 2\n2 3\n",
"9 10 612190254\n647427374 898265852 5\n2 5 6 7 9\n327126452 43778674 2\n3 6\n428798466 894116011 8\n1 2 3 4 6 7 8 9\n371736034 715623413 6\n1 5 6 7 9 10\n562548898 887461531 5\n1 2 4 5 8\n397537442 434061945 3\n1 3 7\n948545278 759564726 3\n1 5 6\n785463564 977048557 8\n1 2 3 4 10 7 8 10\n524917958 125507729 6\n2 3 4 7 9 10\n",
"1 20 1000000000\n1000000000 999999999 20\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 12 17 18 19 20\n",
"1 2 1000000000\n1000000000 1000000000 1\n1\n"
],
"output": [
"202",
"-1",
"205",
"10000000000000001",
"1000000004000000000",
"1000000000000000000",
"1000000000000000001",
"1000000001000000000",
"46480706738",
"170811",
"256502609666",
"10003000000000",
"1000000000000000",
"5",
"10003",
"543295301492712182",
"11",
"1000000002",
"5",
"6615",
"1000000001000000000",
"1000000002",
"15375",
"-1",
"4",
"428",
"20",
"4428256343",
"891",
"-1",
"1150722446589",
"1000100004000000000\n",
"-1\n",
"1000000000\n",
"10003010000000\n",
"1635597000000000\n",
"10003\n",
"543295301492712182\n",
"1000000002\n",
"5\n",
"15388\n",
"118425\n",
"202\n",
"205\n",
"10004010000000\n",
"1635597016355960\n",
"10004011000000\n",
"10004012000100\n",
"543295301339530258\n",
"10104012010100\n",
"543295301409941248\n",
"543295301537321764\n",
"11000000000000001\n",
"1000000004000100000\n",
"1\n",
"170811\n",
"256502609666\n",
"10003000000010\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"1000000000\n",
"-1\n",
"543295301492712182\n",
"-1\n",
"118425\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"543295301492712182\n",
"-1\n",
"118425\n",
"-1\n",
"-1\n",
"543295301339530258\n",
"-1\n",
"-1\n"
]
} | 2CODEFORCES
|
418_B. Cunning Gena_38266 | A boy named Gena really wants to get to the "Russian Code Cup" finals, or at least get a t-shirt. But the offered problems are too complex, so he made an arrangement with his n friends that they will solve the problems for him.
The participants are offered m problems on the contest. For each friend, Gena knows what problems he can solve. But Gena's friends won't agree to help Gena for nothing: the i-th friend asks Gena xi rubles for his help in solving all the problems he can. Also, the friend agreed to write a code for Gena only if Gena's computer is connected to at least ki monitors, each monitor costs b rubles.
Gena is careful with money, so he wants to spend as little money as possible to solve all the problems. Help Gena, tell him how to spend the smallest possible amount of money. Initially, there's no monitors connected to Gena's computer.
Input
The first line contains three integers n, m and b (1 ≤ n ≤ 100; 1 ≤ m ≤ 20; 1 ≤ b ≤ 109) — the number of Gena's friends, the number of problems and the cost of a single monitor.
The following 2n lines describe the friends. Lines number 2i and (2i + 1) contain the information about the i-th friend. The 2i-th line contains three integers xi, ki and mi (1 ≤ xi ≤ 109; 1 ≤ ki ≤ 109; 1 ≤ mi ≤ m) — the desired amount of money, monitors and the number of problems the friend can solve. The (2i + 1)-th line contains mi distinct positive integers — the numbers of problems that the i-th friend can solve. The problems are numbered from 1 to m.
Output
Print the minimum amount of money Gena needs to spend to solve all the problems. Or print -1, if this cannot be achieved.
Examples
Input
2 2 1
100 1 1
2
100 2 1
1
Output
202
Input
3 2 5
100 1 1
1
100 1 1
2
200 1 2
1 2
Output
205
Input
1 2 1
1 1 1
1
Output
-1 | import java.io.*;
import java.util.Arrays;
import java.util.Comparator;
import java.util.StringTokenizer;
/**
* Built using CHelper plug-in
* Actual solution is at the top
*/
public class Main {
public static void main(String[] args) {
InputStream inputStream = System.in;
OutputStream outputStream = System.out;
InputReader in = new InputReader(inputStream);
PrintWriter out = new PrintWriter(outputStream);
Task solver = new Task();
solver.solve(1, in, out);
out.close();
}
}
class Task {
int n;
int m;
long b;
int[] needMoney;
int[] needMonitors;
int[] canSolve;
long solveWithDP(Integer[] order) {
long[] dp = new long[1 << m];
int cur = 0, nxt = 1;
Arrays.fill(dp, -1);
dp[0] = 0;
long answer = Long.MAX_VALUE;
for (int it = 0; it < n; it++) {
int v = order[it];
for (int i = 0; i < dp.length; i++) {
if (dp[i] != -1) {
int i2 = i | canSolve[v];
if (dp[i2] == -1 || dp[i2] > dp[i] + needMoney[v]) {
dp[i2] = dp[i] + needMoney[v];
}
}
}
long curAns = dp[(1 << m) - 1];
if (curAns == -1) {
curAns = Long.MAX_VALUE;
} else {
curAns += b * needMonitors[v];
}
answer = Math.min(answer, curAns);
int t = cur;
cur = nxt;
nxt = t;
}
if (answer == Long.MAX_VALUE) {
answer = -1;
}
return answer;
}
public void solve(int testNumber, InputReader in, PrintWriter out) {
n = in.nextInt();
m = in.nextInt();
b = in.nextInt();
needMoney = new int[n];
needMonitors = new int[n];
canSolve = new int[n];
Integer[] order = new Integer[n];
for (int i = 0; i < n; i++) {
needMoney[i] = in.nextInt();
needMonitors[i] = in.nextInt();
int nt = in.nextInt();
for (int j = 0; j < nt; j++) {
int pos = in.nextInt() - 1;
canSolve[i] |= (1 << pos);
}
order[i] = i;
}
Arrays.sort(order, new Comparator<Integer>() {
@Override
public int compare(Integer o1, Integer o2) {
return needMonitors[o1] - needMonitors[o2];
}
});
out.println(solveWithDP(order));
}
}
class InputReader {
private BufferedReader reader;
private StringTokenizer tokenizer;
public InputReader(InputStream stream) {
reader = new BufferedReader(new InputStreamReader(stream));
tokenizer = null;
}
public int nextInt() {
return Integer.parseInt(next());
}
public String next() {
while (tokenizer == null || !tokenizer.hasMoreTokens()) {
try {
tokenizer = new StringTokenizer(reader.readLine());
} catch (IOException e) {
throw new RuntimeException(e);
}
}
return tokenizer.nextToken();
}
}
| 4JAVA
| {
"input": [
"2 2 1\n100 1 1\n2\n100 2 1\n1\n",
"1 2 1\n1 1 1\n1\n",
"3 2 5\n100 1 1\n1\n100 1 1\n2\n200 1 2\n1 2\n",
"1 1 100000000\n1 100000000 1\n1\n",
"4 4 1000000000\n1000000000 1000000000 1\n1\n1000000000 1000000000 1\n2\n1000000000 1000000000 1\n3\n1000000000 1000000000 1\n4\n",
"1 20 1000000000\n1000000000 999999999 20\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20\n",
"1 1 1000000000\n1 1000000000 1\n1\n",
"1 1 1000000000\n1000000000 1000000000 1\n1\n",
"4 1 968348057\n2 48 1\n1\n9 49 1\n1\n8 75 1\n1\n6 91 1\n1\n",
"20 5 49\n2861 8983 2\n2 3\n784 8430 3\n1 4 5\n1620 1069 1\n2\n3087 5088 2\n2 4\n3701 4255 3\n1 4 5\n8060 6398 2\n2 5\n8535 4264 2\n1 4\n9688 7243 3\n3 4 5\n9516 7770 2\n3 4\n5882 2436 2\n3 4\n1465 5869 3\n3 4 5\n3599 796 3\n1 2 3\n4236 3206 3\n2 3 5\n5856 5460 2\n1 4\n9014 4852 1\n4\n2242 6892 4\n2 3 4 5\n540 8012 2\n1 5\n4163 8444 2\n1 2\n3980 9132 3\n1 2 3\n3218 4175 3\n1 3 4\n",
"24 1 360763164\n62 711 1\n1\n89 1352 1\n1\n18 1448 1\n1\n76 1775 1\n1\n58 2392 1\n1\n11 3323 1\n1\n49 3649 1\n1\n49 3675 1\n1\n6 3787 1\n1\n47 3960 1\n1\n23 3981 1\n1\n72 4135 1\n1\n70 5170 1\n1\n17 5354 1\n1\n68 5948 1\n1\n77 5977 1\n1\n28 6077 1\n1\n13 6811 1\n1\n12 6954 1\n1\n72 7160 1\n1\n16 7823 1\n1\n50 8291 1\n1\n66 8895 1\n1\n26 9198 1\n1\n",
"3 3 1000000000\n1000000000 10 1\n1\n1000000000 10000 1\n2\n1000000000 10 1\n3\n",
"1 1 1000000000\n1000000000 999999 1\n1\n",
"3 2 1\n1 3 1\n1\n2 1 1\n1\n1 3 1\n2\n",
"6 3 100\n4000 1 1\n1\n4000 1 1\n2\n4000 1 1\n3\n1 100 1\n1\n1 100 1\n2\n1 100 1\n3\n",
"9 10 612190254\n647427374 619446694 5\n2 5 6 7 9\n327126452 66103113 2\n3 6\n428798466 894116011 8\n1 2 3 5 6 7 8 9\n552295232 715623413 6\n1 5 6 7 9 10\n562548898 887461531 5\n1 2 4 5 8\n397537442 434061945 3\n1 3 7\n948545278 759564726 3\n1 5 6\n785463564 977048557 8\n1 2 3 4 5 7 8 10\n524917958 125507729 6\n2 3 4 7 9 10\n",
"2 1 5\n10000 1 1\n1\n1 2 1\n1\n",
"3 2 1\n10000000 1 1\n1\n1 100000000 1\n1\n1 1000000000 1\n2\n",
"4 2 1\n1 1 1\n1\n1 1 1\n1\n2 2 1\n2\n2 2 1\n2\n",
"24 1 31\n674 5162 1\n1\n7452 9789 1\n1\n8802 218 1\n1\n1533 776 1\n1\n5823 8058 1\n1\n5132 611 1\n1\n7985 2249 1\n1\n7138 6049 1\n1\n9496 4206 1\n1\n8864 5447 1\n1\n2802 123 1\n1\n8630 4572 1\n1\n7500 7870 1\n1\n2725 4917 1\n1\n7820 8768 1\n1\n4666 5577 1\n1\n9361 4328 1\n1\n6099 4113 1\n1\n4242 5512 1\n1\n7736 872 1\n1\n2267 1716 1\n1\n3514 3950 1\n1\n1757 2966 1\n1\n6438 2126 1\n1\n",
"1 20 1000000000\n1000000000 1000000000 20\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20\n",
"3 2 1\n100000000 1 1\n1\n1 100000000 1\n1\n1 1000000000 1\n2\n",
"2 3 123\n123 123 2\n1 2\n123 123 2\n2 3\n",
"24 2 31\n5162 8291 1\n1\n8802 218 1\n1\n1533 776 1\n1\n5823 8058 1\n1\n5132 611 1\n1\n5948 9496 1\n1\n8864 5447 1\n1\n2802 123 1\n1\n8630 4572 1\n1\n4917 6954 1\n1\n5577 7823 1\n1\n4328 5977 1\n1\n4113 5354 1\n1\n5512 5170 1\n1\n872 3323 1\n1\n3950 6811 1\n1\n2966 1775 1\n1\n711 3520 1\n1\n8983 2665 1\n1\n8430 7857 1\n1\n1069 8448 1\n1\n2983 3701 1\n1\n6398 6118 1\n1\n4264 7038 1\n1\n",
"2 1 1\n1000000000 1 1\n1\n1 3 1\n1\n",
"3 3 7\n32 11 1\n3\n85 49 3\n1 2 3\n38 49 2\n1 3\n",
"4 1 1\n74 62 1\n1\n52 89 1\n1\n2 18 1\n1\n33 76 1\n1\n",
"7 2 738042723\n5 6 2\n1 2\n8 23 1\n1\n6 47 1\n2\n4 49 1\n2\n2 49 1\n1\n10 70 1\n1\n10 72 2\n1 2\n",
"2 2 123\n10 7 1\n1\n20 6 1\n2\n",
"4 2 1\n62 91 1\n1\n2 18 1\n1\n33 76 1\n1\n23 58 1\n1\n",
"16 10 715623412\n44 64 2\n2 10\n51 254 4\n1 5 7 10\n13 703 7\n1 3 5 7 8 9 10\n14 1199 5\n1 4 5 7 8\n66 1608 4\n2 5 6 8\n14 2049 2\n1 10\n71 4985 3\n3 7 8\n89 5099 4\n2 6 8 9\n51 6460 5\n1 2 3 5 10\n13 6506 1\n5\n45 7559 4\n2 4 7 10\n9 8127 5\n1 5 6 9 10\n90 8205 4\n2 7 8 9\n94 8817 7\n1 2 3 4 7 8 10\n13 9427 5\n3 7 8 9 10\n11 9708 3\n2 3 6\n",
"4 4 1000000000\n1000000000 1000000000 1\n1\n1000000000 1000000000 1\n2\n1000000000 1000000000 1\n3\n1000000000 1000100000 1\n4\n",
"1 20 1000000000\n1000000000 999999999 20\n1 2 3 4 5 6 7 8 9 10 11 12 13 10 15 16 17 18 19 20\n",
"1 1 0000000000\n1000000000 1000000000 1\n1\n",
"3 3 1000000000\n1010000000 10 1\n1\n1000000000 10000 1\n2\n1000000000 10 1\n3\n",
"1 1 1000000000\n1000000000 1635596 1\n1\n",
"6 3 100\n4000 1 1\n1\n5646 1 1\n2\n4000 1 1\n3\n1 100 1\n1\n1 100 1\n2\n1 100 1\n3\n",
"9 10 612190254\n647427374 619446694 5\n2 5 6 7 9\n327126452 66103113 2\n3 6\n428798466 894116011 8\n1 2 3 4 6 7 8 9\n552295232 715623413 6\n1 5 6 7 9 10\n562548898 887461531 5\n1 2 4 5 8\n397537442 434061945 3\n1 3 7\n948545278 759564726 3\n1 5 6\n785463564 977048557 8\n1 2 3 4 5 7 8 10\n524917958 125507729 6\n2 3 4 7 9 10\n",
"3 2 1\n10001000 1 1\n1\n1 100000000 1\n1\n1 1000000000 1\n2\n",
"4 2 1\n1 1 1\n1\n1 2 1\n1\n2 2 1\n2\n2 2 1\n2\n",
"2 3 123\n123 123 2\n1 2\n136 123 2\n2 3\n",
"24 2 31\n5162 8291 1\n1\n8802 218 1\n1\n1533 776 1\n1\n5823 8058 1\n1\n5132 611 1\n1\n5948 9496 1\n1\n8864 5447 1\n1\n2802 123 1\n1\n8630 4572 1\n1\n4917 6954 1\n1\n5577 7823 1\n1\n4328 5977 1\n1\n4113 5354 1\n1\n5512 5170 1\n1\n872 3323 1\n1\n3950 6811 1\n1\n2966 1775 1\n1\n711 3520 1\n1\n8983 2665 1\n1\n8430 7857 1\n1\n1069 8448 1\n1\n2983 3701 1\n2\n6398 6118 1\n1\n4264 7038 1\n1\n",
"2 2 1\n100 0 1\n2\n100 2 1\n1\n",
"3 2 5\n100 1 1\n1\n100 1 1\n2\n281 1 2\n1 2\n",
"3 3 1000000000\n1010000000 10 1\n1\n1000000000 10001 1\n2\n1000000000 10 1\n3\n",
"1 1 1000000010\n1000000000 1635596 1\n1\n",
"3 3 1000000000\n1010000000 10 1\n1\n1001000000 10001 1\n2\n1000000000 10 1\n3\n",
"3 3 1000000100\n1010000000 10 1\n1\n1001000000 10001 1\n2\n1000000000 10 1\n3\n",
"9 10 612190254\n647427374 898265852 5\n2 5 6 7 9\n327126452 43778674 2\n3 6\n428798466 894116011 8\n1 2 3 4 6 7 8 9\n371736034 715623413 6\n1 5 6 7 9 10\n562548898 887461531 5\n1 2 4 5 8\n397537442 434061945 3\n1 3 7\n948545278 759564726 3\n1 5 6\n785463564 977048557 8\n1 2 3 4 5 7 8 10\n524917958 125507729 6\n2 3 4 7 9 10\n",
"3 3 1000000100\n1010000000 10 1\n1\n1001000000 10101 1\n2\n1000000000 10 1\n3\n",
"9 10 612190254\n647427374 898265852 5\n2 5 6 7 9\n472776474 43778674 2\n3 6\n428798466 894116011 8\n1 2 3 4 6 7 8 9\n371736034 715623413 6\n1 5 6 7 9 10\n562548898 887461531 5\n1 2 4 5 8\n397537442 434061945 3\n1 3 7\n948545278 759564726 3\n1 5 6\n785463564 977048557 8\n1 2 3 4 10 7 8 10\n524917958 125507729 6\n2 3 4 7 9 10\n",
"9 10 612190254\n647427374 898265852 5\n2 5 6 7 9\n472776474 43778674 2\n3 6\n428798466 894116011 8\n1 2 3 4 6 7 8 9\n371736034 715623413 6\n1 5 6 7 9 10\n562548898 887461531 5\n1 4 4 5 8\n397537442 434061945 3\n1 3 7\n948545278 759564726 3\n1 5 6\n785463564 977048557 8\n1 2 3 4 10 7 8 10\n524917958 125507729 6\n2 3 4 7 9 10\n",
"1 1 100000000\n1 110000000 1\n1\n",
"4 4 1000000000\n1000100000 1000000000 1\n1\n1000000000 1000000000 1\n2\n1000000000 1000000000 1\n3\n1000000000 1000000000 1\n4\n",
"1 1 0000000000\n1 1000000000 1\n1\n",
"20 5 49\n2861 8983 2\n2 3\n784 8430 3\n1 4 5\n1620 1069 1\n2\n3087 5088 2\n2 4\n3701 4255 3\n1 4 5\n198 6398 2\n2 5\n8535 4264 2\n1 4\n9688 7243 3\n3 4 5\n9516 7770 2\n3 4\n5882 2436 2\n3 4\n1465 5869 3\n3 4 5\n3599 796 3\n1 2 3\n4236 3206 3\n2 3 5\n5856 5460 2\n1 4\n9014 4852 1\n4\n2242 6892 4\n2 3 4 5\n540 8012 2\n1 5\n4163 8444 2\n1 2\n3980 9132 3\n1 2 3\n3218 4175 3\n1 3 4\n",
"24 1 360763164\n62 711 1\n1\n89 1352 1\n1\n18 1448 1\n1\n76 1775 1\n1\n58 2392 1\n1\n11 3323 1\n1\n49 3649 1\n1\n49 3675 1\n1\n6 3787 1\n1\n47 3960 1\n1\n23 3981 1\n1\n72 4135 1\n1\n70 5170 1\n1\n17 5354 1\n1\n68 5948 1\n1\n77 5977 1\n1\n28 6077 1\n1\n13 6811 1\n1\n12 6954 1\n1\n72 7160 1\n1\n16 7823 1\n1\n50 8291 1\n1\n66 8895 1\n1\n39 9198 1\n1\n",
"3 3 1000000000\n1000000000 10 1\n1\n1000000010 10000 1\n2\n1000000000 10 1\n3\n",
"2 2 123\n10 7 1\n2\n20 6 1\n2\n",
"4 2 1\n62 91 1\n1\n2 10 1\n1\n33 76 1\n1\n23 58 1\n1\n",
"1 3 1\n1 1 1\n1\n",
"4 4 1000000000\n1000000000 1000000000 1\n1\n1000000000 1000000000 1\n2\n1000000000 1000000000 1\n3\n1000000000 1000100000 1\n1\n",
"1 20 1000000000\n1000000000 999999999 20\n1 3 3 4 5 6 7 8 9 10 11 12 13 10 15 16 17 18 19 20\n",
"1 1 0000000000\n1000000000 1000000100 1\n1\n",
"6 6 100\n4000 1 1\n1\n5646 1 1\n2\n4000 1 1\n3\n1 100 1\n1\n1 100 1\n2\n1 100 1\n3\n",
"9 10 612190254\n647427374 898265852 5\n2 5 6 7 9\n327126452 66103113 2\n3 6\n428798466 894116011 8\n1 2 3 4 6 7 8 9\n552295232 715623413 6\n1 5 6 7 9 10\n562548898 887461531 5\n1 2 4 5 8\n397537442 434061945 3\n1 3 7\n948545278 759564726 3\n1 5 6\n785463564 977048557 8\n1 2 3 4 5 7 8 10\n524917958 125507729 6\n2 3 4 7 9 10\n",
"2 6 123\n123 123 2\n1 2\n136 123 2\n2 3\n",
"24 2 31\n5162 8291 1\n1\n8802 218 1\n1\n1533 776 1\n1\n5823 8058 1\n1\n5132 611 1\n1\n5948 9496 1\n1\n8864 5447 1\n1\n2802 21 1\n1\n8630 4572 1\n1\n4917 6954 1\n1\n5577 7823 1\n1\n4328 5977 1\n1\n4113 5354 1\n1\n5512 5170 1\n1\n872 3323 1\n1\n3950 6811 1\n1\n2966 1775 1\n1\n711 3520 1\n1\n8983 2665 1\n1\n8430 7857 1\n1\n1069 8448 1\n1\n2983 3701 1\n2\n6398 6118 1\n1\n4264 7038 1\n1\n",
"4 2 1\n62 66 1\n1\n2 10 1\n1\n33 76 1\n1\n23 58 1\n1\n",
"1 3 0\n1 1 1\n1\n",
"1 20 1000000000\n1000000000 999999999 20\n1 3 3 4 5 6 7 1 9 10 11 12 13 10 15 16 17 18 19 20\n",
"1 2 1000000010\n1000000000 1635596 1\n1\n",
"9 10 612190254\n647427374 898265852 5\n2 5 6 7 9\n327126452 43778674 2\n3 6\n428798466 894116011 8\n1 2 3 4 6 7 8 9\n552295232 715623413 6\n1 5 6 7 9 10\n562548898 887461531 5\n1 2 4 5 8\n397537442 434061945 3\n1 3 7\n948545278 759564726 3\n1 5 6\n785463564 977048557 8\n1 2 3 4 5 7 8 10\n524917958 125507729 6\n2 3 4 7 9 10\n",
"2 6 123\n123 123 2\n1 2\n136 246 2\n2 3\n",
"24 2 31\n5162 14365 1\n1\n8802 218 1\n1\n1533 776 1\n1\n5823 8058 1\n1\n5132 611 1\n1\n5948 9496 1\n1\n8864 5447 1\n1\n2802 21 1\n1\n8630 4572 1\n1\n4917 6954 1\n1\n5577 7823 1\n1\n4328 5977 1\n1\n4113 5354 1\n1\n5512 5170 1\n1\n872 3323 1\n1\n3950 6811 1\n1\n2966 1775 1\n1\n711 3520 1\n1\n8983 2665 1\n1\n8430 7857 1\n1\n1069 8448 1\n1\n2983 3701 1\n2\n6398 6118 1\n1\n4264 7038 1\n1\n",
"1 2 1000000010\n1000000001 1635596 1\n1\n",
"2 6 123\n123 123 2\n1 2\n136 57 2\n2 3\n",
"9 10 612190254\n647427374 898265852 5\n2 5 6 7 9\n327126452 43778674 2\n3 6\n428798466 894116011 8\n1 2 3 4 6 7 8 9\n371736034 715623413 6\n1 5 6 7 9 10\n562548898 887461531 5\n1 2 4 5 8\n397537442 434061945 3\n1 3 7\n948545278 759564726 3\n1 5 6\n785463564 977048557 8\n1 2 3 4 10 7 8 10\n524917958 125507729 6\n2 3 4 7 9 10\n",
"1 20 1000000000\n1000000000 999999999 20\n1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 12 17 18 19 20\n",
"1 2 1000000000\n1000000000 1000000000 1\n1\n"
],
"output": [
"202",
"-1",
"205",
"10000000000000001",
"1000000004000000000",
"1000000000000000000",
"1000000000000000001",
"1000000001000000000",
"46480706738",
"170811",
"256502609666",
"10003000000000",
"1000000000000000",
"5",
"10003",
"543295301492712182",
"11",
"1000000002",
"5",
"6615",
"1000000001000000000",
"1000000002",
"15375",
"-1",
"4",
"428",
"20",
"4428256343",
"891",
"-1",
"1150722446589",
"1000100004000000000\n",
"-1\n",
"1000000000\n",
"10003010000000\n",
"1635597000000000\n",
"10003\n",
"543295301492712182\n",
"1000000002\n",
"5\n",
"15388\n",
"118425\n",
"202\n",
"205\n",
"10004010000000\n",
"1635597016355960\n",
"10004011000000\n",
"10004012000100\n",
"543295301339530258\n",
"10104012010100\n",
"543295301409941248\n",
"543295301537321764\n",
"11000000000000001\n",
"1000000004000100000\n",
"1\n",
"170811\n",
"256502609666\n",
"10003000000010\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"1000000000\n",
"-1\n",
"543295301492712182\n",
"-1\n",
"118425\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"543295301492712182\n",
"-1\n",
"118425\n",
"-1\n",
"-1\n",
"543295301339530258\n",
"-1\n",
"-1\n"
]
} | 2CODEFORCES
|
444_E. DZY Loves Planting_38267 | DZY loves planting, and he enjoys solving tree problems.
DZY has a weighted tree (connected undirected graph without cycles) containing n nodes (they are numbered from 1 to n). He defines the function g(x, y) (1 ≤ x, y ≤ n) as the longest edge in the shortest path between nodes x and y. Specially g(z, z) = 0 for every z.
For every integer sequence p1, p2, ..., pn (1 ≤ pi ≤ n), DZY defines f(p) as <image>.
DZY wants to find such a sequence p that f(p) has maximum possible value. But there is one more restriction: the element j can appear in p at most xj times.
Please, find the maximum possible f(p) under the described restrictions.
Input
The first line contains an integer n (1 ≤ n ≤ 3000).
Each of the next n - 1 lines contains three integers ai, bi, ci (1 ≤ ai, bi ≤ n; 1 ≤ ci ≤ 10000), denoting an edge between ai and bi with length ci. It is guaranteed that these edges form a tree.
Each of the next n lines describes an element of sequence x. The j-th line contains an integer xj (1 ≤ xj ≤ n).
Output
Print a single integer representing the answer.
Examples
Input
4
1 2 1
2 3 2
3 4 3
1
1
1
1
Output
2
Input
4
1 2 1
2 3 2
3 4 3
4
4
4
4
Output
3
Note
In the first sample, one of the optimal p is [4, 3, 2, 1]. | #include <bits/stdc++.h>
using namespace std;
struct Edge {
int a, b, c;
bool operator<(const Edge &r) const { return c < r.c; }
};
int N, x[3000], bl[3000];
vector<pair<int, int> > edges[3000];
Edge e[3000];
pair<int, int> dfs(int n, int p) {
if (bl[n]) return pair<int, int>(0, 0);
pair<int, int> ret = pair<int, int>(1, x[n]);
for (int i = int(0); i < int(edges[n].size()); i++) {
int next = edges[n][i].first;
if (next == p) continue;
pair<int, int> t = dfs(next, n);
ret.first += t.first;
ret.second += t.second;
}
return ret;
}
void block(int n) {
if (bl[n]) return;
bl[n] = 1;
for (int i = int(0); i < int(edges[n].size()); i++) block(edges[n][i].first);
}
int main() {
int a, b, c;
while (scanf("%d", &N) != EOF) {
for (int i = int(0); i < int(N); i++) edges[i].clear(), bl[i] = 0;
for (int i = int(1); i < int(N); i++) {
scanf("%d %d %d", &a, &b, &c);
a--, b--;
e[i] = Edge{a, b, c};
edges[a].push_back(pair<int, int>(b, c));
edges[b].push_back(pair<int, int>(a, c));
}
sort(e + 1, e + N);
for (int i = int(0); i < int(N); i++) {
scanf("%d", x + i);
}
int ac = 0, ans = 0;
for (int i = N - 1; i; i--) {
if (bl[e[i].a] || bl[e[i].b]) continue;
pair<int, int> t1 = dfs(e[i].a, e[i].b);
pair<int, int> t2 = dfs(e[i].b, e[i].a);
if (t1.first < t2.first) swap(t1, t2), swap(e[i].b, e[i].a);
if (t1.first > t2.second + ac) {
ac += t2.second;
bl[e[i].b] = 1;
for (int j = int(0); j < int(edges[e[i].b].size()); j++) {
int next = edges[e[i].b][j].first;
if (next == e[i].a) continue;
block(next);
}
} else {
ans = e[i].c;
break;
}
}
printf("%d\n", ans);
}
return 0;
}
| 2C++
| {
"input": [
"4\n1 2 1\n2 3 2\n3 4 3\n1\n1\n1\n1\n",
"4\n1 2 1\n2 3 2\n3 4 3\n4\n4\n4\n4\n",
"1\n1\n",
"10\n2 1 559\n3 1 5707\n4 2 9790\n5 3 1591\n6 1 7113\n7 6 2413\n8 6 3006\n9 4 1935\n10 6 5954\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n",
"10\n2 1 8760\n3 1 3705\n4 1 1862\n5 2 7332\n6 3 7015\n7 5 4866\n8 3 4465\n9 7 8886\n10 3 9362\n2\n5\n5\n4\n4\n5\n4\n5\n1\n2\n",
"2\n1 2 10000\n1\n1\n",
"10\n1 6 4890\n2 6 2842\n3 6 7059\n4 6 3007\n5 6 6195\n7 6 3962\n8 6 3413\n9 6 7658\n10 6 8049\n3\n3\n3\n1\n4\n4\n5\n2\n1\n1\n",
"10\n2 1 2464\n3 1 5760\n4 3 9957\n5 1 6517\n6 4 8309\n7 3 3176\n8 7 1982\n9 1 7312\n10 2 3154\n1\n1\n4\n1\n1\n3\n3\n5\n3\n2\n",
"10\n2 1 3921\n3 2 3204\n4 3 1912\n5 4 6844\n6 5 8197\n7 6 7148\n8 7 5912\n9 8 104\n10 9 5881\n4\n4\n5\n2\n2\n4\n1\n2\n3\n1\n",
"10\n1 2 5577\n3 2 6095\n4 2 4743\n5 2 2254\n6 2 9771\n7 2 7417\n8 2 9342\n9 2 2152\n10 2 5785\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n",
"10\n2 1 5297\n3 2 7674\n4 1 1935\n5 2 1941\n6 3 1470\n7 1 3823\n8 2 4959\n9 4 6866\n10 9 2054\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n",
"10\n2 1 6818\n3 2 9734\n4 3 2234\n5 4 3394\n6 5 1686\n7 6 3698\n8 7 700\n9 8 716\n10 9 1586\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n",
"1\n2\n",
"2\n1 2 10000\n2\n1\n",
"10\n1 6 4890\n2 6 2842\n3 6 7059\n4 6 3007\n5 6 6195\n7 6 3962\n8 6 3413\n9 6 7658\n10 6 8049\n3\n3\n2\n1\n4\n4\n5\n2\n1\n1\n",
"10\n2 1 2464\n3 1 5760\n4 3 9957\n5 1 6517\n6 4 8309\n7 2 3176\n8 7 1982\n9 1 7312\n10 2 3154\n1\n1\n4\n1\n1\n3\n3\n5\n3\n2\n",
"10\n2 1 3921\n3 2 3204\n4 3 1912\n5 4 6844\n6 5 8197\n7 6 7148\n8 7 5912\n9 8 104\n10 9 5881\n6\n4\n5\n2\n2\n4\n1\n2\n3\n1\n",
"10\n2 1 5297\n3 2 7674\n4 2 1935\n5 2 1941\n6 3 1470\n7 1 3823\n8 2 4959\n9 4 6866\n10 9 2054\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n",
"10\n2 1 6915\n3 2 9734\n4 3 2234\n5 4 3394\n6 5 1686\n7 6 3698\n8 7 700\n9 8 716\n10 9 1586\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n",
"4\n1 2 1\n2 3 2\n3 4 5\n1\n1\n1\n1\n",
"4\n1 3 1\n2 3 2\n3 4 3\n4\n4\n4\n4\n",
"10\n2 1 8760\n3 1 3705\n4 1 1862\n5 2 7332\n6 3 7015\n7 5 4866\n8 3 4465\n9 7 4213\n10 3 9362\n2\n5\n5\n4\n4\n5\n4\n5\n1\n2\n",
"10\n1 3 5577\n3 2 6095\n4 2 4743\n5 2 2254\n6 2 9771\n7 2 7417\n8 2 9342\n9 2 2152\n10 2 5785\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n",
"10\n1 10 4313\n2 6 2842\n3 6 7059\n4 6 3007\n5 6 6195\n7 6 3962\n8 6 3413\n9 6 7658\n10 6 8049\n3\n3\n2\n1\n4\n4\n5\n2\n1\n1\n",
"1\n0\n",
"10\n2 1 2464\n3 1 5760\n4 3 9957\n5 1 6517\n6 4 8309\n7 2 3176\n8 7 1982\n9 1 7312\n10 2 3154\n1\n1\n4\n1\n1\n3\n3\n5\n3\n4\n",
"4\n1 3 1\n2 3 2\n3 4 3\n4\n5\n4\n4\n",
"1\n-1\n",
"1\n3\n",
"10\n2 1 2464\n3 1 5760\n4 3 9957\n5 1 6517\n6 4 8309\n7 3 846\n8 7 1982\n9 1 7312\n10 2 3154\n1\n1\n4\n1\n1\n3\n3\n5\n3\n2\n",
"10\n2 1 3921\n3 2 975\n4 3 1912\n5 4 6844\n6 5 8197\n7 6 7148\n8 7 5912\n9 8 104\n10 9 5881\n4\n4\n5\n2\n2\n4\n1\n2\n3\n1\n",
"10\n2 1 5297\n3 2 7674\n4 1 420\n5 2 1941\n6 3 1470\n7 1 3823\n8 2 4959\n9 4 6866\n10 9 2054\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n",
"10\n2 1 6818\n3 2 9734\n4 3 2234\n5 4 3394\n6 5 1686\n7 6 3698\n8 7 700\n9 8 716\n10 9 1586\n2\n1\n1\n1\n1\n1\n1\n1\n1\n1\n",
"4\n1 4 1\n2 3 2\n3 4 3\n1\n1\n1\n1\n",
"10\n1 6 4612\n2 6 2842\n3 6 7059\n4 6 3007\n5 6 6195\n7 6 3962\n8 6 3413\n9 6 7658\n10 6 8049\n3\n3\n2\n1\n4\n4\n5\n2\n1\n1\n",
"10\n2 1 2464\n3 1 5760\n4 3 9957\n5 2 6517\n6 4 8309\n7 2 3176\n8 7 1982\n9 1 7312\n10 2 3154\n1\n1\n4\n1\n1\n3\n3\n5\n3\n2\n",
"10\n2 1 3921\n3 2 3204\n4 3 2854\n5 4 6844\n6 5 8197\n7 6 7148\n8 7 5912\n9 8 104\n10 9 5881\n6\n4\n5\n2\n2\n4\n1\n2\n3\n1\n",
"10\n2 1 6915\n3 2 9734\n4 3 2234\n5 4 364\n6 5 1686\n7 6 3698\n8 7 700\n9 8 716\n10 9 1586\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n",
"4\n1 2 1\n2 3 2\n3 4 5\n1\n1\n2\n1\n",
"4\n1 3 1\n2 3 2\n3 4 3\n4\n5\n6\n4\n",
"1\n5\n",
"10\n2 1 8760\n3 1 3705\n4 1 1862\n5 2 7332\n6 3 7015\n7 5 4866\n8 3 4465\n9 7 4213\n10 3 9362\n2\n5\n5\n4\n4\n2\n4\n5\n1\n2\n",
"10\n2 1 2464\n3 1 5760\n4 3 9957\n5 1 6517\n6 4 8309\n7 3 846\n8 7 1982\n9 1 7312\n10 2 3154\n1\n1\n4\n1\n1\n3\n3\n5\n3\n3\n",
"10\n1 3 9791\n3 2 6095\n4 2 4743\n5 2 2254\n6 2 9771\n7 2 7417\n8 2 9342\n9 2 2152\n10 2 5785\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n",
"10\n2 1 5297\n3 2 7674\n4 1 420\n5 2 1941\n6 3 1515\n7 1 3823\n8 2 4959\n9 4 6866\n10 9 2054\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n",
"4\n1 4 0\n2 3 2\n3 4 3\n1\n1\n1\n1\n",
"10\n1 6 4313\n2 6 2842\n3 6 7059\n4 6 3007\n5 6 6195\n7 6 3962\n8 6 3413\n9 6 7658\n10 6 8049\n3\n3\n2\n1\n4\n4\n5\n2\n1\n1\n",
"10\n2 1 2464\n3 1 5760\n4 3 9957\n5 2 6517\n6 4 8309\n7 2 3176\n8 7 1982\n9 1 7312\n10 2 3154\n0\n1\n4\n1\n1\n3\n3\n5\n3\n2\n",
"10\n2 1 3921\n3 2 3204\n4 3 2854\n5 4 6844\n6 5 8197\n7 6 7148\n8 7 5912\n9 8 104\n10 9 5881\n1\n4\n5\n2\n2\n4\n1\n2\n3\n1\n",
"4\n1 2 1\n2 3 2\n3 4 5\n1\n0\n2\n1\n",
"1\n8\n",
"10\n2 1 8760\n3 1 3705\n4 1 1862\n5 2 7332\n6 3 7015\n7 5 4866\n8 3 4465\n9 7 4213\n10 3 9362\n2\n5\n5\n4\n4\n2\n4\n7\n1\n2\n",
"10\n2 1 2464\n3 1 5760\n4 3 9957\n5 1 6517\n6 4 5661\n7 3 846\n8 7 1982\n9 1 7312\n10 2 3154\n1\n1\n4\n1\n1\n3\n3\n5\n3\n3\n",
"10\n2 1 2464\n3 1 5760\n4 3 9957\n5 2 6517\n6 4 8309\n7 2 3176\n8 7 1982\n9 1 7312\n10 2 3154\n0\n1\n4\n1\n1\n4\n3\n5\n3\n2\n",
"10\n2 1 3921\n3 2 3204\n4 3 2854\n5 4 6844\n6 5 8197\n7 6 7148\n8 7 5912\n9 8 104\n10 9 5881\n1\n4\n5\n2\n2\n4\n1\n2\n3\n0\n",
"10\n2 1 2464\n3 1 5760\n4 3 9957\n5 1 6517\n6 4 5661\n7 3 846\n8 7 1982\n9 1 7312\n10 2 3139\n1\n1\n4\n1\n1\n3\n3\n5\n3\n3\n",
"10\n2 1 2464\n3 1 5760\n4 1 9957\n5 2 6517\n6 4 8309\n7 2 3176\n8 7 1982\n9 1 7312\n10 2 3154\n0\n1\n4\n1\n1\n4\n3\n5\n3\n2\n"
],
"output": [
"2\n",
"3\n",
"0\n",
"7113\n",
"8760\n",
"10000\n",
"6195\n",
"7312\n",
"8197\n",
"5785\n",
"5297\n",
"3698\n",
"0\n",
"10000\n",
"6195\n",
"7312\n",
"8197\n",
"5297\n",
"3698\n",
"2\n",
"3\n",
"8760\n",
"6095\n",
"7059\n",
"0\n",
"7312\n",
"3\n",
"0\n",
"0\n",
"7312\n",
"8197\n",
"5297\n",
"3698\n",
"3\n",
"6195\n",
"7312\n",
"8197\n",
"3698\n",
"2\n",
"3\n",
"0\n",
"8760\n",
"7312\n",
"6095\n",
"5297\n",
"3\n",
"6195\n",
"7312\n",
"8197\n",
"2\n",
"0\n",
"8760\n",
"7312\n",
"7312\n",
"8197\n",
"7312\n",
"7312\n"
]
} | 2CODEFORCES
|
444_E. DZY Loves Planting_38268 | DZY loves planting, and he enjoys solving tree problems.
DZY has a weighted tree (connected undirected graph without cycles) containing n nodes (they are numbered from 1 to n). He defines the function g(x, y) (1 ≤ x, y ≤ n) as the longest edge in the shortest path between nodes x and y. Specially g(z, z) = 0 for every z.
For every integer sequence p1, p2, ..., pn (1 ≤ pi ≤ n), DZY defines f(p) as <image>.
DZY wants to find such a sequence p that f(p) has maximum possible value. But there is one more restriction: the element j can appear in p at most xj times.
Please, find the maximum possible f(p) under the described restrictions.
Input
The first line contains an integer n (1 ≤ n ≤ 3000).
Each of the next n - 1 lines contains three integers ai, bi, ci (1 ≤ ai, bi ≤ n; 1 ≤ ci ≤ 10000), denoting an edge between ai and bi with length ci. It is guaranteed that these edges form a tree.
Each of the next n lines describes an element of sequence x. The j-th line contains an integer xj (1 ≤ xj ≤ n).
Output
Print a single integer representing the answer.
Examples
Input
4
1 2 1
2 3 2
3 4 3
1
1
1
1
Output
2
Input
4
1 2 1
2 3 2
3 4 3
4
4
4
4
Output
3
Note
In the first sample, one of the optimal p is [4, 3, 2, 1]. | n = int(input())
edges = [[int(x) for x in input().split()] for i in range(n-1)]
edges = sorted(edges)
use_count = [0]+[int(input()) for i in range(n)]
lo,hi = 0,10000
def getpar(par,u):
if par[par[u]] == par[u]:
return par[u]
par[u] = getpar(par,par[u])
return par[u]
def unite(par,sz,use,u,v):
u = getpar(par,u)
v = getpar(par,v)
par[u] = v
sz[v] += sz[u]
use[v] += use[u]
def solve(fp):
par = [i for i in range(n+1)]
sz = [1 for i in range(n+1)]
use = [use_count[i] for i in range(n+1)]
for edge in edges:
if edge[2] < fp:
unite(par,sz,use,edge[0],edge[1])
total_use = sum(use_count)
for i in range(n+1):
p = getpar(par,i)
if(p == i):
if(total_use - use[p] < sz[p]):
return False
return True
while lo < hi:
mid = (lo+hi+1)//2
if solve(mid):
lo = mid
else:
hi = mid-1
print(lo)
| 3Python3
| {
"input": [
"4\n1 2 1\n2 3 2\n3 4 3\n1\n1\n1\n1\n",
"4\n1 2 1\n2 3 2\n3 4 3\n4\n4\n4\n4\n",
"1\n1\n",
"10\n2 1 559\n3 1 5707\n4 2 9790\n5 3 1591\n6 1 7113\n7 6 2413\n8 6 3006\n9 4 1935\n10 6 5954\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n",
"10\n2 1 8760\n3 1 3705\n4 1 1862\n5 2 7332\n6 3 7015\n7 5 4866\n8 3 4465\n9 7 8886\n10 3 9362\n2\n5\n5\n4\n4\n5\n4\n5\n1\n2\n",
"2\n1 2 10000\n1\n1\n",
"10\n1 6 4890\n2 6 2842\n3 6 7059\n4 6 3007\n5 6 6195\n7 6 3962\n8 6 3413\n9 6 7658\n10 6 8049\n3\n3\n3\n1\n4\n4\n5\n2\n1\n1\n",
"10\n2 1 2464\n3 1 5760\n4 3 9957\n5 1 6517\n6 4 8309\n7 3 3176\n8 7 1982\n9 1 7312\n10 2 3154\n1\n1\n4\n1\n1\n3\n3\n5\n3\n2\n",
"10\n2 1 3921\n3 2 3204\n4 3 1912\n5 4 6844\n6 5 8197\n7 6 7148\n8 7 5912\n9 8 104\n10 9 5881\n4\n4\n5\n2\n2\n4\n1\n2\n3\n1\n",
"10\n1 2 5577\n3 2 6095\n4 2 4743\n5 2 2254\n6 2 9771\n7 2 7417\n8 2 9342\n9 2 2152\n10 2 5785\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n",
"10\n2 1 5297\n3 2 7674\n4 1 1935\n5 2 1941\n6 3 1470\n7 1 3823\n8 2 4959\n9 4 6866\n10 9 2054\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n",
"10\n2 1 6818\n3 2 9734\n4 3 2234\n5 4 3394\n6 5 1686\n7 6 3698\n8 7 700\n9 8 716\n10 9 1586\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n",
"1\n2\n",
"2\n1 2 10000\n2\n1\n",
"10\n1 6 4890\n2 6 2842\n3 6 7059\n4 6 3007\n5 6 6195\n7 6 3962\n8 6 3413\n9 6 7658\n10 6 8049\n3\n3\n2\n1\n4\n4\n5\n2\n1\n1\n",
"10\n2 1 2464\n3 1 5760\n4 3 9957\n5 1 6517\n6 4 8309\n7 2 3176\n8 7 1982\n9 1 7312\n10 2 3154\n1\n1\n4\n1\n1\n3\n3\n5\n3\n2\n",
"10\n2 1 3921\n3 2 3204\n4 3 1912\n5 4 6844\n6 5 8197\n7 6 7148\n8 7 5912\n9 8 104\n10 9 5881\n6\n4\n5\n2\n2\n4\n1\n2\n3\n1\n",
"10\n2 1 5297\n3 2 7674\n4 2 1935\n5 2 1941\n6 3 1470\n7 1 3823\n8 2 4959\n9 4 6866\n10 9 2054\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n",
"10\n2 1 6915\n3 2 9734\n4 3 2234\n5 4 3394\n6 5 1686\n7 6 3698\n8 7 700\n9 8 716\n10 9 1586\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n",
"4\n1 2 1\n2 3 2\n3 4 5\n1\n1\n1\n1\n",
"4\n1 3 1\n2 3 2\n3 4 3\n4\n4\n4\n4\n",
"10\n2 1 8760\n3 1 3705\n4 1 1862\n5 2 7332\n6 3 7015\n7 5 4866\n8 3 4465\n9 7 4213\n10 3 9362\n2\n5\n5\n4\n4\n5\n4\n5\n1\n2\n",
"10\n1 3 5577\n3 2 6095\n4 2 4743\n5 2 2254\n6 2 9771\n7 2 7417\n8 2 9342\n9 2 2152\n10 2 5785\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n",
"10\n1 10 4313\n2 6 2842\n3 6 7059\n4 6 3007\n5 6 6195\n7 6 3962\n8 6 3413\n9 6 7658\n10 6 8049\n3\n3\n2\n1\n4\n4\n5\n2\n1\n1\n",
"1\n0\n",
"10\n2 1 2464\n3 1 5760\n4 3 9957\n5 1 6517\n6 4 8309\n7 2 3176\n8 7 1982\n9 1 7312\n10 2 3154\n1\n1\n4\n1\n1\n3\n3\n5\n3\n4\n",
"4\n1 3 1\n2 3 2\n3 4 3\n4\n5\n4\n4\n",
"1\n-1\n",
"1\n3\n",
"10\n2 1 2464\n3 1 5760\n4 3 9957\n5 1 6517\n6 4 8309\n7 3 846\n8 7 1982\n9 1 7312\n10 2 3154\n1\n1\n4\n1\n1\n3\n3\n5\n3\n2\n",
"10\n2 1 3921\n3 2 975\n4 3 1912\n5 4 6844\n6 5 8197\n7 6 7148\n8 7 5912\n9 8 104\n10 9 5881\n4\n4\n5\n2\n2\n4\n1\n2\n3\n1\n",
"10\n2 1 5297\n3 2 7674\n4 1 420\n5 2 1941\n6 3 1470\n7 1 3823\n8 2 4959\n9 4 6866\n10 9 2054\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n",
"10\n2 1 6818\n3 2 9734\n4 3 2234\n5 4 3394\n6 5 1686\n7 6 3698\n8 7 700\n9 8 716\n10 9 1586\n2\n1\n1\n1\n1\n1\n1\n1\n1\n1\n",
"4\n1 4 1\n2 3 2\n3 4 3\n1\n1\n1\n1\n",
"10\n1 6 4612\n2 6 2842\n3 6 7059\n4 6 3007\n5 6 6195\n7 6 3962\n8 6 3413\n9 6 7658\n10 6 8049\n3\n3\n2\n1\n4\n4\n5\n2\n1\n1\n",
"10\n2 1 2464\n3 1 5760\n4 3 9957\n5 2 6517\n6 4 8309\n7 2 3176\n8 7 1982\n9 1 7312\n10 2 3154\n1\n1\n4\n1\n1\n3\n3\n5\n3\n2\n",
"10\n2 1 3921\n3 2 3204\n4 3 2854\n5 4 6844\n6 5 8197\n7 6 7148\n8 7 5912\n9 8 104\n10 9 5881\n6\n4\n5\n2\n2\n4\n1\n2\n3\n1\n",
"10\n2 1 6915\n3 2 9734\n4 3 2234\n5 4 364\n6 5 1686\n7 6 3698\n8 7 700\n9 8 716\n10 9 1586\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n",
"4\n1 2 1\n2 3 2\n3 4 5\n1\n1\n2\n1\n",
"4\n1 3 1\n2 3 2\n3 4 3\n4\n5\n6\n4\n",
"1\n5\n",
"10\n2 1 8760\n3 1 3705\n4 1 1862\n5 2 7332\n6 3 7015\n7 5 4866\n8 3 4465\n9 7 4213\n10 3 9362\n2\n5\n5\n4\n4\n2\n4\n5\n1\n2\n",
"10\n2 1 2464\n3 1 5760\n4 3 9957\n5 1 6517\n6 4 8309\n7 3 846\n8 7 1982\n9 1 7312\n10 2 3154\n1\n1\n4\n1\n1\n3\n3\n5\n3\n3\n",
"10\n1 3 9791\n3 2 6095\n4 2 4743\n5 2 2254\n6 2 9771\n7 2 7417\n8 2 9342\n9 2 2152\n10 2 5785\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n",
"10\n2 1 5297\n3 2 7674\n4 1 420\n5 2 1941\n6 3 1515\n7 1 3823\n8 2 4959\n9 4 6866\n10 9 2054\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n",
"4\n1 4 0\n2 3 2\n3 4 3\n1\n1\n1\n1\n",
"10\n1 6 4313\n2 6 2842\n3 6 7059\n4 6 3007\n5 6 6195\n7 6 3962\n8 6 3413\n9 6 7658\n10 6 8049\n3\n3\n2\n1\n4\n4\n5\n2\n1\n1\n",
"10\n2 1 2464\n3 1 5760\n4 3 9957\n5 2 6517\n6 4 8309\n7 2 3176\n8 7 1982\n9 1 7312\n10 2 3154\n0\n1\n4\n1\n1\n3\n3\n5\n3\n2\n",
"10\n2 1 3921\n3 2 3204\n4 3 2854\n5 4 6844\n6 5 8197\n7 6 7148\n8 7 5912\n9 8 104\n10 9 5881\n1\n4\n5\n2\n2\n4\n1\n2\n3\n1\n",
"4\n1 2 1\n2 3 2\n3 4 5\n1\n0\n2\n1\n",
"1\n8\n",
"10\n2 1 8760\n3 1 3705\n4 1 1862\n5 2 7332\n6 3 7015\n7 5 4866\n8 3 4465\n9 7 4213\n10 3 9362\n2\n5\n5\n4\n4\n2\n4\n7\n1\n2\n",
"10\n2 1 2464\n3 1 5760\n4 3 9957\n5 1 6517\n6 4 5661\n7 3 846\n8 7 1982\n9 1 7312\n10 2 3154\n1\n1\n4\n1\n1\n3\n3\n5\n3\n3\n",
"10\n2 1 2464\n3 1 5760\n4 3 9957\n5 2 6517\n6 4 8309\n7 2 3176\n8 7 1982\n9 1 7312\n10 2 3154\n0\n1\n4\n1\n1\n4\n3\n5\n3\n2\n",
"10\n2 1 3921\n3 2 3204\n4 3 2854\n5 4 6844\n6 5 8197\n7 6 7148\n8 7 5912\n9 8 104\n10 9 5881\n1\n4\n5\n2\n2\n4\n1\n2\n3\n0\n",
"10\n2 1 2464\n3 1 5760\n4 3 9957\n5 1 6517\n6 4 5661\n7 3 846\n8 7 1982\n9 1 7312\n10 2 3139\n1\n1\n4\n1\n1\n3\n3\n5\n3\n3\n",
"10\n2 1 2464\n3 1 5760\n4 1 9957\n5 2 6517\n6 4 8309\n7 2 3176\n8 7 1982\n9 1 7312\n10 2 3154\n0\n1\n4\n1\n1\n4\n3\n5\n3\n2\n"
],
"output": [
"2\n",
"3\n",
"0\n",
"7113\n",
"8760\n",
"10000\n",
"6195\n",
"7312\n",
"8197\n",
"5785\n",
"5297\n",
"3698\n",
"0\n",
"10000\n",
"6195\n",
"7312\n",
"8197\n",
"5297\n",
"3698\n",
"2\n",
"3\n",
"8760\n",
"6095\n",
"7059\n",
"0\n",
"7312\n",
"3\n",
"0\n",
"0\n",
"7312\n",
"8197\n",
"5297\n",
"3698\n",
"3\n",
"6195\n",
"7312\n",
"8197\n",
"3698\n",
"2\n",
"3\n",
"0\n",
"8760\n",
"7312\n",
"6095\n",
"5297\n",
"3\n",
"6195\n",
"7312\n",
"8197\n",
"2\n",
"0\n",
"8760\n",
"7312\n",
"7312\n",
"8197\n",
"7312\n",
"7312\n"
]
} | 2CODEFORCES
|
444_E. DZY Loves Planting_38269 | DZY loves planting, and he enjoys solving tree problems.
DZY has a weighted tree (connected undirected graph without cycles) containing n nodes (they are numbered from 1 to n). He defines the function g(x, y) (1 ≤ x, y ≤ n) as the longest edge in the shortest path between nodes x and y. Specially g(z, z) = 0 for every z.
For every integer sequence p1, p2, ..., pn (1 ≤ pi ≤ n), DZY defines f(p) as <image>.
DZY wants to find such a sequence p that f(p) has maximum possible value. But there is one more restriction: the element j can appear in p at most xj times.
Please, find the maximum possible f(p) under the described restrictions.
Input
The first line contains an integer n (1 ≤ n ≤ 3000).
Each of the next n - 1 lines contains three integers ai, bi, ci (1 ≤ ai, bi ≤ n; 1 ≤ ci ≤ 10000), denoting an edge between ai and bi with length ci. It is guaranteed that these edges form a tree.
Each of the next n lines describes an element of sequence x. The j-th line contains an integer xj (1 ≤ xj ≤ n).
Output
Print a single integer representing the answer.
Examples
Input
4
1 2 1
2 3 2
3 4 3
1
1
1
1
Output
2
Input
4
1 2 1
2 3 2
3 4 3
4
4
4
4
Output
3
Note
In the first sample, one of the optimal p is [4, 3, 2, 1]. | //package round254;
import java.io.ByteArrayInputStream;
import java.io.IOException;
import java.io.InputStream;
import java.io.PrintWriter;
import java.util.ArrayList;
import java.util.Arrays;
import java.util.InputMismatchException;
import java.util.List;
public class E {
InputStream is;
PrintWriter out;
String INPUT = "";
void solve()
{
int n = ni();
int[] from = new int[n-1];
int[] to = new int[n-1];
int[] w = new int[n-1];
for(int i = 0;i < n-1;i++){
from[i] = ni()-1;
to[i] = ni()-1;
w[i] = ni();
}
int[] x = na(n);
int[][][] g = packWU(n, from, to, w);
int[][] pars = parents(g, 0);
int[] par = pars[0], ord = pars[1], pw = pars[4];
int low = 0, high = 10001;
while(high - low > 1){
int h = high+low>>>1;
int[] dp = new int[n];
int[] des = new int[n];
int[] xs = new int[n];
int[] dess = new int[n];
int p = 0;
for(int i = n-1;i >= 0;i--){
int cur = ord[i];
dp[cur] += x[cur];
des[cur]++;
for(int[] e : g[cur]){
if(e[1] < h){
dp[cur] += dp[e[0]];
des[cur] += des[e[0]];
}
}
if(pw[cur] >= h || i == 0){
xs[p] = dp[cur];
dess[p] = des[cur];
p++;
}
}
List<Edge> edges = new ArrayList<Edge>();
int sq = (int)Math.sqrt(p);
int q = (int)Math.sqrt(p)+2;
int src = 2*p+q, sink = 2*p+q+1;
for(int i = 0;i < p;i++){
edges.add(new Edge(src, i, dess[i]));
edges.add(new Edge(i+p, sink, xs[i]));
for(int j = 0;j < q;j++){
if(i/sq != j){
edges.add(new Edge(i, 2*p+j, 10000));
}else{
for(int k = i/sq*sq;k < i/sq*sq+sq && k < p;k++){
if(i != k){
edges.add(new Edge(i, k+p, 10000));
}
}
}
}
// for(int j = 0;j < p;j++){
// if(i != j){
// edges.add(new Edge(i, j+p, 10000));
// }
// }
}
for(int j = 0;j < q;j++){
for(int k = j*sq;k < j*sq+sq && k < p;k++){
edges.add(new Edge(2*p+j, k+p, 10000));
}
}
// tr(toDOT(compileWD(sink+1, edges)));
long F = maximumFlowDinic(compileWD(sink+1, edges), src, sink);
if(F == n){
low = h;
}else{
high = h;
}
}
out.println(low);
}
public static String toDOT(Edge[][] g)
{
StringBuilder sb = new StringBuilder();
int n = g.length;
sb.append("digraph{\n");
sb.append("graph[rankdir=LR];\n");
sb.append("node[shape=circle];\n");
for(int i = 0;i < n;i++){
for(Edge e : g[i]){
if(e.flow == 0){
sb.append("\"" + i + "\"");
sb.append("->");
sb.append("\"" + e.to + "\"");
sb.append("[label=" + e.capacity + "];\n");
}
}
}
sb.append("}\n");
return sb.toString();
}
public static class Edge
{
public int from, to;
public int capacity;
public int flow;
public Edge complement;
// public int iniflow;
public Edge(int from, int to, int capacity) {
this.from = from;
this.to = to;
this.capacity = capacity;
}
}
public static Edge[][] compileWD(int n, List<Edge> edges)
{
Edge[][] g = new Edge[n][];
// cloning
for(int i = edges.size()-1;i >= 0;i--){
Edge origin = edges.get(i);
Edge clone = new Edge(origin.to, origin.from, origin.capacity);
clone.flow = origin.capacity;
clone.complement = origin;
origin.complement = clone;
edges.add(clone);
}
int[] p = new int[n];
for(Edge e : edges)p[e.from]++;
for(int i = 0;i < n;i++)g[i] = new Edge[p[i]];
for(Edge e : edges)g[e.from][--p[e.from]] = e;
return g;
}
public static Edge[][] compileWU(int n, List<Edge> edges)
{
Edge[][] g = new Edge[n][];
// cloning
for(int i = edges.size()-1;i >= 0;i--){
Edge origin = edges.get(i);
Edge clone = new Edge(origin.to, origin.from, origin.capacity*2);
origin.flow = origin.capacity;
clone.flow = origin.capacity;
clone.complement = origin;
origin.complement = clone;
origin.capacity *= 2;
edges.add(clone);
}
int[] p = new int[n];
for(Edge e : edges)p[e.from]++;
for(int i = 0;i < n;i++)g[i] = new Edge[p[i]];
for(Edge e : edges)g[e.from][--p[e.from]] = e;
return g;
}
public static long maximumFlowDinic(Edge[][] g, int source, int sink)
{
int n = g.length;
int[] d = new int[n];
int[] q = new int[n];
long ret = 0;
while(true){
Arrays.fill(d, -1);
q[0] = source;
int r = 1;
d[source] = 0;
for(int v = 0;v < r;v++){
int cur = q[v];
for(Edge ne : g[cur]){
if(d[ne.to] == -1 && ne.capacity - ne.flow > 0) {
q[r++] = ne.to;
d[ne.to] = d[cur] + 1;
}
}
}
if(d[sink] == -1)break;
int[] sp = new int[n];
for(int i = 0;i < n;i++)sp[i] = g[i].length - 1;
ret += dfsDinic(d, g, sp, source, sink, Long.MAX_VALUE);
}
return ret;
}
private static long dfsDinic(int[] d, Edge[][] g, int[] sp, int cur, int sink, long min)
{
if(cur == sink)return min;
long left = min;
for(int i = sp[cur];i >= 0;i--){
Edge ne = g[cur][i];
if(d[ne.to] == d[cur]+1 && ne.capacity - ne.flow > 0){
long fl = dfsDinic(d, g, sp, ne.to, sink, Math.min(left, ne.capacity - ne.flow));
if(fl > 0){
left -= fl;
ne.flow += fl;
ne.complement.flow -= fl;
if(left == 0){
sp[cur] = i;
return min;
}
}
}
}
sp[cur] = -1;
return min-left;
}
public static int[][] parents(int[][][] g, int root)
{
int n = g.length;
int[] par = new int[n];
Arrays.fill(par, -1);
int[] dw = new int[n];
int[] pw = new int[n];
int[] dep = new int[n];
int[] q = new int[n];
q[0] = root;
for(int p = 0, r = 1;p < r;p++) {
int cur = q[p];
for(int[] nex : g[cur]){
if(par[cur] != nex[0]){
q[r++] = nex[0];
par[nex[0]] = cur;
dep[nex[0]] = dep[cur] + 1;
dw[nex[0]] = dw[cur] + nex[1];
pw[nex[0]] = nex[1];
}
}
}
return new int[][] {par, q, dep, dw, pw};
}
public static int[][][] packWU(int n, int[] from, int[] to, int[] w) {
int[][][] g = new int[n][][];
int[] p = new int[n];
for (int f : from)
p[f]++;
for (int t : to)
p[t]++;
for (int i = 0; i < n; i++)
g[i] = new int[p[i]][2];
for (int i = 0; i < from.length; i++) {
--p[from[i]];
g[from[i]][p[from[i]]][0] = to[i];
g[from[i]][p[from[i]]][1] = w[i];
--p[to[i]];
g[to[i]][p[to[i]]][0] = from[i];
g[to[i]][p[to[i]]][1] = w[i];
}
return g;
}
void run() throws Exception
{
is = oj ? System.in : new ByteArrayInputStream(INPUT.getBytes());
out = new PrintWriter(System.out);
long s = System.currentTimeMillis();
solve();
out.flush();
tr(System.currentTimeMillis()-s+"ms");
}
public static void main(String[] args) throws Exception { new E().run(); }
private byte[] inbuf = new byte[1024];
private int lenbuf = 0, ptrbuf = 0;
private int readByte()
{
if(lenbuf == -1)throw new InputMismatchException();
if(ptrbuf >= lenbuf){
ptrbuf = 0;
try { lenbuf = is.read(inbuf); } catch (IOException e) { throw new InputMismatchException(); }
if(lenbuf <= 0)return -1;
}
return inbuf[ptrbuf++];
}
private boolean isSpaceChar(int c) { return !(c >= 33 && c <= 126); }
private int skip() { int b; while((b = readByte()) != -1 && isSpaceChar(b)); return b; }
private double nd() { return Double.parseDouble(ns()); }
private char nc() { return (char)skip(); }
private String ns()
{
int b = skip();
StringBuilder sb = new StringBuilder();
while(!(isSpaceChar(b))){ // when nextLine, (isSpaceChar(b) && b != ' ')
sb.appendCodePoint(b);
b = readByte();
}
return sb.toString();
}
private char[] ns(int n)
{
char[] buf = new char[n];
int b = skip(), p = 0;
while(p < n && !(isSpaceChar(b))){
buf[p++] = (char)b;
b = readByte();
}
return n == p ? buf : Arrays.copyOf(buf, p);
}
private char[][] nm(int n, int m)
{
char[][] map = new char[n][];
for(int i = 0;i < n;i++)map[i] = ns(m);
return map;
}
private int[] na(int n)
{
int[] a = new int[n];
for(int i = 0;i < n;i++)a[i] = ni();
return a;
}
private int ni()
{
int num = 0, b;
boolean minus = false;
while((b = readByte()) != -1 && !((b >= '0' && b <= '9') || b == '-'));
if(b == '-'){
minus = true;
b = readByte();
}
while(true){
if(b >= '0' && b <= '9'){
num = num * 10 + (b - '0');
}else{
return minus ? -num : num;
}
b = readByte();
}
}
private long nl()
{
long num = 0;
int b;
boolean minus = false;
while((b = readByte()) != -1 && !((b >= '0' && b <= '9') || b == '-'));
if(b == '-'){
minus = true;
b = readByte();
}
while(true){
if(b >= '0' && b <= '9'){
num = num * 10 + (b - '0');
}else{
return minus ? -num : num;
}
b = readByte();
}
}
private boolean oj = System.getProperty("ONLINE_JUDGE") != null;
private void tr(Object... o) { if(!oj)System.out.println(Arrays.deepToString(o)); }
}
| 4JAVA
| {
"input": [
"4\n1 2 1\n2 3 2\n3 4 3\n1\n1\n1\n1\n",
"4\n1 2 1\n2 3 2\n3 4 3\n4\n4\n4\n4\n",
"1\n1\n",
"10\n2 1 559\n3 1 5707\n4 2 9790\n5 3 1591\n6 1 7113\n7 6 2413\n8 6 3006\n9 4 1935\n10 6 5954\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n",
"10\n2 1 8760\n3 1 3705\n4 1 1862\n5 2 7332\n6 3 7015\n7 5 4866\n8 3 4465\n9 7 8886\n10 3 9362\n2\n5\n5\n4\n4\n5\n4\n5\n1\n2\n",
"2\n1 2 10000\n1\n1\n",
"10\n1 6 4890\n2 6 2842\n3 6 7059\n4 6 3007\n5 6 6195\n7 6 3962\n8 6 3413\n9 6 7658\n10 6 8049\n3\n3\n3\n1\n4\n4\n5\n2\n1\n1\n",
"10\n2 1 2464\n3 1 5760\n4 3 9957\n5 1 6517\n6 4 8309\n7 3 3176\n8 7 1982\n9 1 7312\n10 2 3154\n1\n1\n4\n1\n1\n3\n3\n5\n3\n2\n",
"10\n2 1 3921\n3 2 3204\n4 3 1912\n5 4 6844\n6 5 8197\n7 6 7148\n8 7 5912\n9 8 104\n10 9 5881\n4\n4\n5\n2\n2\n4\n1\n2\n3\n1\n",
"10\n1 2 5577\n3 2 6095\n4 2 4743\n5 2 2254\n6 2 9771\n7 2 7417\n8 2 9342\n9 2 2152\n10 2 5785\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n",
"10\n2 1 5297\n3 2 7674\n4 1 1935\n5 2 1941\n6 3 1470\n7 1 3823\n8 2 4959\n9 4 6866\n10 9 2054\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n",
"10\n2 1 6818\n3 2 9734\n4 3 2234\n5 4 3394\n6 5 1686\n7 6 3698\n8 7 700\n9 8 716\n10 9 1586\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n",
"1\n2\n",
"2\n1 2 10000\n2\n1\n",
"10\n1 6 4890\n2 6 2842\n3 6 7059\n4 6 3007\n5 6 6195\n7 6 3962\n8 6 3413\n9 6 7658\n10 6 8049\n3\n3\n2\n1\n4\n4\n5\n2\n1\n1\n",
"10\n2 1 2464\n3 1 5760\n4 3 9957\n5 1 6517\n6 4 8309\n7 2 3176\n8 7 1982\n9 1 7312\n10 2 3154\n1\n1\n4\n1\n1\n3\n3\n5\n3\n2\n",
"10\n2 1 3921\n3 2 3204\n4 3 1912\n5 4 6844\n6 5 8197\n7 6 7148\n8 7 5912\n9 8 104\n10 9 5881\n6\n4\n5\n2\n2\n4\n1\n2\n3\n1\n",
"10\n2 1 5297\n3 2 7674\n4 2 1935\n5 2 1941\n6 3 1470\n7 1 3823\n8 2 4959\n9 4 6866\n10 9 2054\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n",
"10\n2 1 6915\n3 2 9734\n4 3 2234\n5 4 3394\n6 5 1686\n7 6 3698\n8 7 700\n9 8 716\n10 9 1586\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n",
"4\n1 2 1\n2 3 2\n3 4 5\n1\n1\n1\n1\n",
"4\n1 3 1\n2 3 2\n3 4 3\n4\n4\n4\n4\n",
"10\n2 1 8760\n3 1 3705\n4 1 1862\n5 2 7332\n6 3 7015\n7 5 4866\n8 3 4465\n9 7 4213\n10 3 9362\n2\n5\n5\n4\n4\n5\n4\n5\n1\n2\n",
"10\n1 3 5577\n3 2 6095\n4 2 4743\n5 2 2254\n6 2 9771\n7 2 7417\n8 2 9342\n9 2 2152\n10 2 5785\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n",
"10\n1 10 4313\n2 6 2842\n3 6 7059\n4 6 3007\n5 6 6195\n7 6 3962\n8 6 3413\n9 6 7658\n10 6 8049\n3\n3\n2\n1\n4\n4\n5\n2\n1\n1\n",
"1\n0\n",
"10\n2 1 2464\n3 1 5760\n4 3 9957\n5 1 6517\n6 4 8309\n7 2 3176\n8 7 1982\n9 1 7312\n10 2 3154\n1\n1\n4\n1\n1\n3\n3\n5\n3\n4\n",
"4\n1 3 1\n2 3 2\n3 4 3\n4\n5\n4\n4\n",
"1\n-1\n",
"1\n3\n",
"10\n2 1 2464\n3 1 5760\n4 3 9957\n5 1 6517\n6 4 8309\n7 3 846\n8 7 1982\n9 1 7312\n10 2 3154\n1\n1\n4\n1\n1\n3\n3\n5\n3\n2\n",
"10\n2 1 3921\n3 2 975\n4 3 1912\n5 4 6844\n6 5 8197\n7 6 7148\n8 7 5912\n9 8 104\n10 9 5881\n4\n4\n5\n2\n2\n4\n1\n2\n3\n1\n",
"10\n2 1 5297\n3 2 7674\n4 1 420\n5 2 1941\n6 3 1470\n7 1 3823\n8 2 4959\n9 4 6866\n10 9 2054\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n",
"10\n2 1 6818\n3 2 9734\n4 3 2234\n5 4 3394\n6 5 1686\n7 6 3698\n8 7 700\n9 8 716\n10 9 1586\n2\n1\n1\n1\n1\n1\n1\n1\n1\n1\n",
"4\n1 4 1\n2 3 2\n3 4 3\n1\n1\n1\n1\n",
"10\n1 6 4612\n2 6 2842\n3 6 7059\n4 6 3007\n5 6 6195\n7 6 3962\n8 6 3413\n9 6 7658\n10 6 8049\n3\n3\n2\n1\n4\n4\n5\n2\n1\n1\n",
"10\n2 1 2464\n3 1 5760\n4 3 9957\n5 2 6517\n6 4 8309\n7 2 3176\n8 7 1982\n9 1 7312\n10 2 3154\n1\n1\n4\n1\n1\n3\n3\n5\n3\n2\n",
"10\n2 1 3921\n3 2 3204\n4 3 2854\n5 4 6844\n6 5 8197\n7 6 7148\n8 7 5912\n9 8 104\n10 9 5881\n6\n4\n5\n2\n2\n4\n1\n2\n3\n1\n",
"10\n2 1 6915\n3 2 9734\n4 3 2234\n5 4 364\n6 5 1686\n7 6 3698\n8 7 700\n9 8 716\n10 9 1586\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n",
"4\n1 2 1\n2 3 2\n3 4 5\n1\n1\n2\n1\n",
"4\n1 3 1\n2 3 2\n3 4 3\n4\n5\n6\n4\n",
"1\n5\n",
"10\n2 1 8760\n3 1 3705\n4 1 1862\n5 2 7332\n6 3 7015\n7 5 4866\n8 3 4465\n9 7 4213\n10 3 9362\n2\n5\n5\n4\n4\n2\n4\n5\n1\n2\n",
"10\n2 1 2464\n3 1 5760\n4 3 9957\n5 1 6517\n6 4 8309\n7 3 846\n8 7 1982\n9 1 7312\n10 2 3154\n1\n1\n4\n1\n1\n3\n3\n5\n3\n3\n",
"10\n1 3 9791\n3 2 6095\n4 2 4743\n5 2 2254\n6 2 9771\n7 2 7417\n8 2 9342\n9 2 2152\n10 2 5785\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n",
"10\n2 1 5297\n3 2 7674\n4 1 420\n5 2 1941\n6 3 1515\n7 1 3823\n8 2 4959\n9 4 6866\n10 9 2054\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n",
"4\n1 4 0\n2 3 2\n3 4 3\n1\n1\n1\n1\n",
"10\n1 6 4313\n2 6 2842\n3 6 7059\n4 6 3007\n5 6 6195\n7 6 3962\n8 6 3413\n9 6 7658\n10 6 8049\n3\n3\n2\n1\n4\n4\n5\n2\n1\n1\n",
"10\n2 1 2464\n3 1 5760\n4 3 9957\n5 2 6517\n6 4 8309\n7 2 3176\n8 7 1982\n9 1 7312\n10 2 3154\n0\n1\n4\n1\n1\n3\n3\n5\n3\n2\n",
"10\n2 1 3921\n3 2 3204\n4 3 2854\n5 4 6844\n6 5 8197\n7 6 7148\n8 7 5912\n9 8 104\n10 9 5881\n1\n4\n5\n2\n2\n4\n1\n2\n3\n1\n",
"4\n1 2 1\n2 3 2\n3 4 5\n1\n0\n2\n1\n",
"1\n8\n",
"10\n2 1 8760\n3 1 3705\n4 1 1862\n5 2 7332\n6 3 7015\n7 5 4866\n8 3 4465\n9 7 4213\n10 3 9362\n2\n5\n5\n4\n4\n2\n4\n7\n1\n2\n",
"10\n2 1 2464\n3 1 5760\n4 3 9957\n5 1 6517\n6 4 5661\n7 3 846\n8 7 1982\n9 1 7312\n10 2 3154\n1\n1\n4\n1\n1\n3\n3\n5\n3\n3\n",
"10\n2 1 2464\n3 1 5760\n4 3 9957\n5 2 6517\n6 4 8309\n7 2 3176\n8 7 1982\n9 1 7312\n10 2 3154\n0\n1\n4\n1\n1\n4\n3\n5\n3\n2\n",
"10\n2 1 3921\n3 2 3204\n4 3 2854\n5 4 6844\n6 5 8197\n7 6 7148\n8 7 5912\n9 8 104\n10 9 5881\n1\n4\n5\n2\n2\n4\n1\n2\n3\n0\n",
"10\n2 1 2464\n3 1 5760\n4 3 9957\n5 1 6517\n6 4 5661\n7 3 846\n8 7 1982\n9 1 7312\n10 2 3139\n1\n1\n4\n1\n1\n3\n3\n5\n3\n3\n",
"10\n2 1 2464\n3 1 5760\n4 1 9957\n5 2 6517\n6 4 8309\n7 2 3176\n8 7 1982\n9 1 7312\n10 2 3154\n0\n1\n4\n1\n1\n4\n3\n5\n3\n2\n"
],
"output": [
"2\n",
"3\n",
"0\n",
"7113\n",
"8760\n",
"10000\n",
"6195\n",
"7312\n",
"8197\n",
"5785\n",
"5297\n",
"3698\n",
"0\n",
"10000\n",
"6195\n",
"7312\n",
"8197\n",
"5297\n",
"3698\n",
"2\n",
"3\n",
"8760\n",
"6095\n",
"7059\n",
"0\n",
"7312\n",
"3\n",
"0\n",
"0\n",
"7312\n",
"8197\n",
"5297\n",
"3698\n",
"3\n",
"6195\n",
"7312\n",
"8197\n",
"3698\n",
"2\n",
"3\n",
"0\n",
"8760\n",
"7312\n",
"6095\n",
"5297\n",
"3\n",
"6195\n",
"7312\n",
"8197\n",
"2\n",
"0\n",
"8760\n",
"7312\n",
"7312\n",
"8197\n",
"7312\n",
"7312\n"
]
} | 2CODEFORCES
|
467_A. George and Accommodation_38270 | George has recently entered the BSUCP (Berland State University for Cool Programmers). George has a friend Alex who has also entered the university. Now they are moving into a dormitory.
George and Alex want to live in the same room. The dormitory has n rooms in total. At the moment the i-th room has pi people living in it and the room can accommodate qi people in total (pi ≤ qi). Your task is to count how many rooms has free place for both George and Alex.
Input
The first line contains a single integer n (1 ≤ n ≤ 100) — the number of rooms.
The i-th of the next n lines contains two integers pi and qi (0 ≤ pi ≤ qi ≤ 100) — the number of people who already live in the i-th room and the room's capacity.
Output
Print a single integer — the number of rooms where George and Alex can move in.
Examples
Input
3
1 1
2 2
3 3
Output
0
Input
3
1 10
0 10
10 10
Output
2 | n=input()
c=0
for i in xrange(0, n):
p,q = raw_input().split(" ")
if int(q)-int(p)>=2:
c+=1
print c | 1Python2
| {
"input": [
"3\n1 1\n2 2\n3 3\n",
"3\n1 10\n0 10\n10 10\n",
"17\n68 69\n47 48\n30 31\n52 54\n41 43\n33 35\n38 40\n56 58\n45 46\n92 93\n73 74\n61 63\n65 66\n37 39\n67 68\n77 78\n28 30\n",
"26\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n",
"10\n0 10\n0 20\n0 30\n0 40\n0 50\n0 60\n0 70\n0 80\n0 90\n0 100\n",
"14\n1 1\n1 1\n1 55\n1 16\n1 1\n1 1\n1 55\n1 62\n1 53\n1 26\n1 1\n1 36\n1 2\n1 3\n",
"44\n0 8\n1 11\n2 19\n3 5\n4 29\n5 45\n6 6\n7 40\n8 19\n9 22\n10 18\n11 26\n12 46\n13 13\n14 27\n15 48\n16 25\n17 20\n18 29\n19 27\n20 45\n21 39\n22 29\n23 39\n24 42\n25 37\n26 52\n27 36\n28 43\n29 35\n30 38\n31 70\n32 47\n33 38\n34 61\n35 71\n36 51\n37 71\n38 59\n39 77\n40 70\n41 80\n42 77\n43 73\n",
"2\n36 67\n61 69\n",
"15\n55 57\n95 97\n57 59\n34 36\n50 52\n96 98\n39 40\n13 15\n13 14\n74 76\n47 48\n56 58\n24 25\n11 13\n67 68\n",
"1\n0 0\n",
"19\n66 67\n97 98\n89 91\n67 69\n67 68\n18 20\n72 74\n28 30\n91 92\n27 28\n75 77\n17 18\n74 75\n28 30\n16 18\n90 92\n9 11\n22 24\n52 54\n",
"13\n14 16\n30 31\n45 46\n19 20\n15 17\n66 67\n75 76\n95 97\n29 30\n37 38\n0 2\n36 37\n8 9\n",
"55\n0 0\n1 1\n2 2\n3 3\n4 4\n5 5\n6 6\n7 7\n8 8\n9 9\n10 10\n11 11\n12 12\n13 13\n14 14\n15 15\n16 16\n17 17\n18 18\n19 19\n20 20\n21 21\n22 22\n23 23\n24 24\n25 25\n26 26\n27 27\n28 28\n29 29\n30 30\n31 31\n32 32\n33 33\n34 34\n35 35\n36 36\n37 37\n38 38\n39 39\n40 40\n41 41\n42 42\n43 43\n44 44\n45 45\n46 46\n47 47\n48 48\n49 49\n50 50\n51 51\n52 52\n53 53\n54 54\n",
"3\n1 2\n2 3\n3 4\n",
"3\n21 71\n10 88\n43 62\n",
"53\n0 1\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 8\n8 9\n9 10\n10 11\n11 12\n12 13\n13 14\n14 15\n15 16\n16 17\n17 18\n18 19\n19 20\n20 21\n21 22\n22 23\n23 24\n24 25\n25 26\n26 27\n27 28\n28 29\n29 30\n30 31\n31 32\n32 33\n33 34\n34 35\n35 36\n36 37\n37 38\n38 39\n39 40\n40 41\n41 42\n42 43\n43 44\n44 45\n45 46\n46 47\n47 48\n48 49\n49 50\n50 51\n51 52\n52 53\n",
"68\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n",
"100\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n",
"51\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 62\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 73\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 82\n55 68\n55 70\n55 63\n55 55\n55 55\n55 55\n55 75\n55 75\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 73\n55 55\n55 82\n55 99\n55 60\n",
"3\n1 3\n2 7\n8 9\n",
"7\n0 1\n1 5\n2 4\n3 5\n4 6\n5 6\n6 8\n",
"14\n64 66\n43 44\n10 12\n76 77\n11 12\n25 27\n87 88\n62 64\n39 41\n58 60\n10 11\n28 29\n57 58\n12 14\n",
"1\n100 100\n",
"38\n74 76\n52 54\n78 80\n48 49\n40 41\n64 65\n28 30\n6 8\n49 51\n68 70\n44 45\n57 59\n24 25\n46 48\n49 51\n4 6\n63 64\n76 78\n57 59\n18 20\n63 64\n71 73\n88 90\n21 22\n89 90\n65 66\n89 91\n96 98\n42 44\n1 1\n74 76\n72 74\n39 40\n75 76\n29 30\n48 49\n87 89\n27 28\n",
"17\n68 69\n47 48\n30 31\n52 54\n41 43\n33 35\n38 40\n56 58\n45 46\n92 93\n73 74\n61 63\n65 66\n37 39\n64 68\n77 78\n28 30\n",
"26\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n2 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n",
"10\n0 10\n0 20\n0 30\n0 40\n0 50\n0 60\n0 70\n0 80\n0 84\n0 100\n",
"14\n1 1\n1 1\n1 55\n1 16\n1 1\n1 1\n1 55\n1 62\n1 53\n1 2\n1 1\n1 36\n1 2\n1 3\n",
"13\n14 16\n30 31\n45 46\n19 20\n15 17\n66 67\n75 135\n95 97\n29 30\n37 38\n0 2\n36 37\n8 9\n",
"55\n0 0\n1 1\n2 2\n3 3\n4 4\n5 5\n6 6\n7 7\n8 8\n9 9\n10 10\n11 11\n12 12\n13 13\n14 14\n15 15\n16 16\n17 17\n18 18\n19 19\n20 20\n21 21\n22 22\n23 23\n24 24\n25 25\n26 30\n27 27\n28 28\n29 29\n30 30\n31 31\n32 32\n33 33\n34 34\n35 35\n36 36\n37 37\n38 38\n39 39\n40 40\n41 41\n42 42\n43 43\n44 44\n45 45\n46 46\n47 47\n48 48\n49 49\n50 50\n51 51\n52 52\n53 53\n54 54\n",
"3\n21 71\n9 88\n43 62\n",
"68\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n1 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n",
"51\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 62\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 73\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 82\n55 68\n55 70\n55 63\n48 55\n55 55\n55 55\n55 75\n55 75\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 73\n55 55\n55 82\n55 99\n55 60\n",
"3\n1 3\n2 9\n8 9\n",
"68\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 1\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n1 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n",
"68\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n1 2\n0 2\n0 2\n0 2\n0 2\n0 1\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n1 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n",
"14\n64 66\n43 44\n10 12\n76 77\n7 12\n25 46\n87 88\n62 64\n10 41\n58 60\n10 11\n28 29\n57 58\n12 14\n",
"17\n52 69\n47 71\n30 31\n52 54\n41 43\n33 35\n38 40\n56 58\n45 46\n92 93\n73 74\n61 80\n65 66\n37 39\n64 68\n77 78\n28 30\n",
"68\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n1 2\n0 2\n0 2\n0 2\n0 2\n0 1\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 0\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n1 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n",
"26\n1 2\n1 2\n0 2\n1 2\n1 2\n1 3\n1 2\n1 2\n1 2\n2 2\n1 2\n1 2\n0 2\n0 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n",
"68\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n1 2\n0 2\n0 2\n0 2\n0 2\n0 1\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 0\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 0\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n1 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n",
"68\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 4\n1 2\n0 2\n0 2\n0 2\n0 2\n0 1\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 0\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 0\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n1 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n1 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n",
"68\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 4\n1 2\n0 2\n0 2\n0 2\n0 2\n0 1\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 0\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 0\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n1 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n1 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 0\n0 2\n0 2\n",
"68\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 0\n0 4\n1 2\n0 2\n0 2\n0 2\n0 2\n0 1\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 0\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 0\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n1 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n1 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 0\n0 2\n0 2\n",
"68\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 0\n0 4\n1 2\n0 2\n0 2\n0 2\n0 2\n0 1\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 0\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 0\n0 2\n0 2\n0 2\n0 2\n1 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n1 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n1 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 0\n0 2\n0 2\n",
"1\n0 1\n",
"3\n1 3\n2 3\n3 4\n",
"100\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 1\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n",
"14\n64 66\n43 44\n10 12\n76 77\n11 12\n25 27\n87 88\n62 64\n10 41\n58 60\n10 11\n28 29\n57 58\n12 14\n",
"3\n1 1\n2 3\n3 3\n",
"3\n1 20\n0 10\n10 10\n",
"17\n68 69\n47 71\n30 31\n52 54\n41 43\n33 35\n38 40\n56 58\n45 46\n92 93\n73 74\n61 63\n65 66\n37 39\n64 68\n77 78\n28 30\n",
"26\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n2 2\n1 2\n1 2\n1 2\n0 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n",
"10\n1 10\n0 20\n0 30\n0 40\n0 50\n0 60\n0 70\n0 80\n0 84\n0 100\n",
"14\n1 2\n1 1\n1 55\n1 16\n1 1\n1 1\n1 55\n1 62\n1 53\n1 2\n1 1\n1 36\n1 2\n1 3\n",
"1\n0 2\n",
"3\n1 3\n2 3\n3 7\n",
"3\n21 71\n9 88\n43 79\n",
"51\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 62\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 73\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 82\n55 68\n55 70\n55 63\n48 55\n55 55\n55 55\n55 75\n55 75\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 73\n55 55\n19 82\n55 99\n55 60\n",
"14\n64 66\n43 44\n10 12\n76 77\n11 12\n25 46\n87 88\n62 64\n10 41\n58 60\n10 11\n28 29\n57 58\n12 14\n",
"3\n1 1\n2 3\n2 3\n",
"3\n1 2\n0 10\n10 10\n",
"17\n68 69\n47 71\n30 31\n52 54\n41 43\n33 35\n38 40\n56 58\n45 46\n92 93\n73 74\n61 80\n65 66\n37 39\n64 68\n77 78\n28 30\n",
"26\n1 2\n1 2\n0 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n2 2\n1 2\n1 2\n1 2\n0 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n",
"10\n1 10\n0 20\n1 30\n0 40\n0 50\n0 60\n0 70\n0 80\n0 84\n0 100\n",
"14\n1 2\n1 1\n0 55\n1 16\n1 1\n1 1\n1 55\n1 62\n1 53\n1 2\n1 1\n1 36\n1 2\n1 3\n",
"1\n-1 2\n",
"3\n1 2\n2 3\n3 7\n",
"3\n21 71\n9 88\n1 79\n",
"26\n1 2\n1 2\n0 2\n1 2\n1 2\n1 3\n1 2\n1 2\n1 2\n2 2\n1 2\n1 2\n1 2\n0 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n",
"10\n1 10\n1 20\n1 30\n0 40\n0 50\n0 60\n0 70\n0 80\n0 84\n0 100\n",
"14\n1 2\n1 1\n0 55\n1 16\n1 1\n0 1\n1 55\n1 62\n1 53\n1 2\n1 1\n1 36\n1 2\n1 3\n",
"1\n-1 0\n",
"3\n21 71\n9 95\n1 79\n",
"14\n52 66\n43 44\n10 12\n76 77\n7 12\n25 46\n87 88\n62 64\n10 41\n58 60\n10 11\n28 29\n57 58\n12 14\n",
"10\n1 10\n1 20\n1 30\n0 39\n0 50\n0 60\n0 70\n0 80\n0 84\n0 100\n",
"14\n1 2\n1 1\n0 55\n1 16\n1 1\n0 1\n0 55\n1 62\n1 53\n1 2\n1 1\n1 36\n1 2\n1 3\n",
"1\n-1 1\n",
"3\n21 71\n9 95\n1 6\n",
"14\n52 66\n43 44\n10 12\n76 77\n7 12\n25 46\n87 88\n62 64\n10 41\n58 60\n10 19\n28 29\n57 58\n12 14\n",
"26\n1 2\n1 2\n0 2\n1 2\n1 2\n1 3\n1 2\n1 2\n1 2\n2 2\n1 2\n1 2\n0 2\n0 2\n1 2\n1 2\n1 2\n0 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n",
"10\n1 10\n1 20\n1 30\n0 39\n0 50\n1 60\n0 70\n0 80\n0 84\n0 100\n",
"14\n1 2\n1 1\n0 103\n1 16\n1 1\n0 1\n0 55\n1 62\n1 53\n1 2\n1 1\n1 36\n1 2\n1 3\n",
"1\n-2 1\n",
"3\n29 71\n9 95\n1 6\n",
"68\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 4\n1 2\n0 2\n0 2\n0 2\n0 2\n0 1\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 0\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 0\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n1 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n",
"14\n52 66\n43 44\n10 12\n76 77\n7 12\n25 46\n87 88\n62 64\n10 41\n39 60\n10 19\n28 29\n57 58\n12 14\n",
"26\n1 2\n1 2\n0 2\n1 2\n1 2\n1 3\n1 2\n1 2\n1 2\n2 2\n1 2\n1 2\n0 2\n0 2\n1 2\n1 2\n1 2\n0 2\n1 2\n1 2\n1 2\n1 2\n1 2\n2 2\n1 2\n1 2\n",
"10\n1 10\n1 20\n1 30\n-1 39\n0 50\n1 60\n0 70\n0 80\n0 84\n0 100\n",
"14\n1 2\n1 1\n0 103\n1 16\n1 1\n0 1\n0 55\n1 49\n1 53\n1 2\n1 1\n1 36\n1 2\n1 3\n",
"1\n-2 0\n",
"26\n1 2\n1 2\n0 2\n1 2\n1 2\n1 3\n1 2\n1 2\n1 2\n2 2\n1 2\n1 2\n0 2\n0 2\n1 2\n1 2\n1 2\n0 2\n1 2\n1 2\n1 2\n1 2\n1 2\n2 2\n2 2\n1 2\n",
"10\n1 10\n1 20\n1 30\n-1 39\n0 50\n1 60\n0 108\n0 80\n0 84\n0 100\n",
"14\n1 2\n1 1\n0 103\n1 16\n1 1\n0 1\n0 55\n1 49\n1 3\n1 2\n1 1\n1 36\n1 2\n1 3\n",
"26\n1 2\n1 2\n0 2\n1 2\n1 2\n1 3\n1 2\n1 2\n1 2\n2 2\n1 2\n1 2\n0 2\n0 2\n1 2\n1 2\n2 2\n0 2\n1 2\n1 2\n1 2\n1 2\n1 2\n2 2\n2 2\n1 2\n",
"10\n1 10\n1 20\n1 30\n-1 17\n0 50\n1 60\n0 108\n0 80\n0 84\n0 100\n",
"14\n1 2\n1 1\n0 103\n1 16\n1 1\n0 1\n0 55\n1 49\n1 3\n1 2\n1 1\n1 36\n1 2\n1 4\n",
"26\n1 2\n1 2\n0 2\n1 2\n1 2\n1 3\n1 2\n1 2\n1 2\n2 2\n1 2\n1 2\n0 2\n-1 2\n1 2\n1 2\n2 2\n0 2\n1 2\n1 2\n1 2\n1 2\n1 2\n2 2\n2 2\n1 2\n",
"10\n1 10\n1 20\n1 30\n-1 17\n0 50\n1 60\n0 108\n-1 80\n0 84\n0 100\n",
"26\n1 2\n1 2\n0 2\n1 2\n1 2\n1 3\n1 2\n1 2\n1 2\n2 2\n1 2\n1 2\n0 2\n-1 2\n1 2\n1 2\n2 2\n0 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n2 2\n1 2\n",
"10\n1 10\n0 20\n1 30\n-1 17\n0 50\n1 60\n0 108\n-1 80\n0 84\n0 100\n",
"68\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 0\n0 4\n2 2\n0 2\n0 2\n0 2\n0 2\n0 1\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 0\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 0\n0 2\n0 2\n0 2\n0 2\n1 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n1 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n1 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 0\n0 2\n0 2\n",
"26\n1 2\n1 2\n0 2\n1 2\n1 2\n1 3\n1 2\n1 2\n1 2\n2 2\n1 2\n1 2\n0 2\n-1 2\n1 2\n1 2\n2 2\n0 2\n1 2\n1 2\n1 1\n1 2\n1 2\n1 2\n2 2\n1 2\n",
"10\n1 10\n0 20\n1 30\n0 17\n0 50\n1 60\n0 108\n-1 80\n0 84\n0 100\n"
],
"output": [
"0\n",
"2\n",
"8\n",
"0\n",
"10\n",
"8\n",
"42\n",
"2\n",
"10\n",
"0\n",
"12\n",
"4\n",
"0\n",
"0\n",
"3\n",
"0\n",
"68\n",
"0\n",
"12\n",
"2\n",
"5\n",
"7\n",
"0\n",
"22\n",
"9\n",
"0\n",
"10\n",
"7\n",
"5\n",
"1\n",
"3\n",
"67\n",
"13\n",
"2\n",
"66\n",
"65\n",
"8\n",
"11\n",
"64\n",
"4\n",
"63\n",
"62\n",
"61\n",
"60\n",
"59\n",
"0\n",
"1\n",
"0\n",
"7\n",
"0\n",
"2\n",
"10\n",
"1\n",
"10\n",
"7\n",
"1\n",
"2\n",
"3\n",
"13\n",
"7\n",
"0\n",
"1\n",
"10\n",
"2\n",
"10\n",
"7\n",
"1\n",
"1\n",
"3\n",
"3\n",
"10\n",
"7\n",
"0\n",
"3\n",
"8\n",
"10\n",
"7\n",
"1\n",
"3\n",
"9\n",
"5\n",
"10\n",
"7\n",
"1\n",
"3\n",
"63\n",
"9\n",
"5\n",
"10\n",
"7\n",
"1\n",
"5\n",
"10\n",
"7\n",
"5\n",
"10\n",
"7\n",
"5\n",
"10\n",
"5\n",
"10\n",
"59\n",
"5\n",
"10\n"
]
} | 2CODEFORCES
|
467_A. George and Accommodation_38271 | George has recently entered the BSUCP (Berland State University for Cool Programmers). George has a friend Alex who has also entered the university. Now they are moving into a dormitory.
George and Alex want to live in the same room. The dormitory has n rooms in total. At the moment the i-th room has pi people living in it and the room can accommodate qi people in total (pi ≤ qi). Your task is to count how many rooms has free place for both George and Alex.
Input
The first line contains a single integer n (1 ≤ n ≤ 100) — the number of rooms.
The i-th of the next n lines contains two integers pi and qi (0 ≤ pi ≤ qi ≤ 100) — the number of people who already live in the i-th room and the room's capacity.
Output
Print a single integer — the number of rooms where George and Alex can move in.
Examples
Input
3
1 1
2 2
3 3
Output
0
Input
3
1 10
0 10
10 10
Output
2 | #include <bits/stdc++.h>
using namespace std;
int main() {
int n;
cin >> n;
long long counter = 0;
for (int i = 0; i < n; i++) {
int x, y;
cin >> x >> y;
if (y - x >= 2) counter++;
}
cout << counter;
return 0;
}
| 2C++
| {
"input": [
"3\n1 1\n2 2\n3 3\n",
"3\n1 10\n0 10\n10 10\n",
"17\n68 69\n47 48\n30 31\n52 54\n41 43\n33 35\n38 40\n56 58\n45 46\n92 93\n73 74\n61 63\n65 66\n37 39\n67 68\n77 78\n28 30\n",
"26\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n",
"10\n0 10\n0 20\n0 30\n0 40\n0 50\n0 60\n0 70\n0 80\n0 90\n0 100\n",
"14\n1 1\n1 1\n1 55\n1 16\n1 1\n1 1\n1 55\n1 62\n1 53\n1 26\n1 1\n1 36\n1 2\n1 3\n",
"44\n0 8\n1 11\n2 19\n3 5\n4 29\n5 45\n6 6\n7 40\n8 19\n9 22\n10 18\n11 26\n12 46\n13 13\n14 27\n15 48\n16 25\n17 20\n18 29\n19 27\n20 45\n21 39\n22 29\n23 39\n24 42\n25 37\n26 52\n27 36\n28 43\n29 35\n30 38\n31 70\n32 47\n33 38\n34 61\n35 71\n36 51\n37 71\n38 59\n39 77\n40 70\n41 80\n42 77\n43 73\n",
"2\n36 67\n61 69\n",
"15\n55 57\n95 97\n57 59\n34 36\n50 52\n96 98\n39 40\n13 15\n13 14\n74 76\n47 48\n56 58\n24 25\n11 13\n67 68\n",
"1\n0 0\n",
"19\n66 67\n97 98\n89 91\n67 69\n67 68\n18 20\n72 74\n28 30\n91 92\n27 28\n75 77\n17 18\n74 75\n28 30\n16 18\n90 92\n9 11\n22 24\n52 54\n",
"13\n14 16\n30 31\n45 46\n19 20\n15 17\n66 67\n75 76\n95 97\n29 30\n37 38\n0 2\n36 37\n8 9\n",
"55\n0 0\n1 1\n2 2\n3 3\n4 4\n5 5\n6 6\n7 7\n8 8\n9 9\n10 10\n11 11\n12 12\n13 13\n14 14\n15 15\n16 16\n17 17\n18 18\n19 19\n20 20\n21 21\n22 22\n23 23\n24 24\n25 25\n26 26\n27 27\n28 28\n29 29\n30 30\n31 31\n32 32\n33 33\n34 34\n35 35\n36 36\n37 37\n38 38\n39 39\n40 40\n41 41\n42 42\n43 43\n44 44\n45 45\n46 46\n47 47\n48 48\n49 49\n50 50\n51 51\n52 52\n53 53\n54 54\n",
"3\n1 2\n2 3\n3 4\n",
"3\n21 71\n10 88\n43 62\n",
"53\n0 1\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 8\n8 9\n9 10\n10 11\n11 12\n12 13\n13 14\n14 15\n15 16\n16 17\n17 18\n18 19\n19 20\n20 21\n21 22\n22 23\n23 24\n24 25\n25 26\n26 27\n27 28\n28 29\n29 30\n30 31\n31 32\n32 33\n33 34\n34 35\n35 36\n36 37\n37 38\n38 39\n39 40\n40 41\n41 42\n42 43\n43 44\n44 45\n45 46\n46 47\n47 48\n48 49\n49 50\n50 51\n51 52\n52 53\n",
"68\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n",
"100\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n",
"51\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 62\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 73\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 82\n55 68\n55 70\n55 63\n55 55\n55 55\n55 55\n55 75\n55 75\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 73\n55 55\n55 82\n55 99\n55 60\n",
"3\n1 3\n2 7\n8 9\n",
"7\n0 1\n1 5\n2 4\n3 5\n4 6\n5 6\n6 8\n",
"14\n64 66\n43 44\n10 12\n76 77\n11 12\n25 27\n87 88\n62 64\n39 41\n58 60\n10 11\n28 29\n57 58\n12 14\n",
"1\n100 100\n",
"38\n74 76\n52 54\n78 80\n48 49\n40 41\n64 65\n28 30\n6 8\n49 51\n68 70\n44 45\n57 59\n24 25\n46 48\n49 51\n4 6\n63 64\n76 78\n57 59\n18 20\n63 64\n71 73\n88 90\n21 22\n89 90\n65 66\n89 91\n96 98\n42 44\n1 1\n74 76\n72 74\n39 40\n75 76\n29 30\n48 49\n87 89\n27 28\n",
"17\n68 69\n47 48\n30 31\n52 54\n41 43\n33 35\n38 40\n56 58\n45 46\n92 93\n73 74\n61 63\n65 66\n37 39\n64 68\n77 78\n28 30\n",
"26\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n2 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n",
"10\n0 10\n0 20\n0 30\n0 40\n0 50\n0 60\n0 70\n0 80\n0 84\n0 100\n",
"14\n1 1\n1 1\n1 55\n1 16\n1 1\n1 1\n1 55\n1 62\n1 53\n1 2\n1 1\n1 36\n1 2\n1 3\n",
"13\n14 16\n30 31\n45 46\n19 20\n15 17\n66 67\n75 135\n95 97\n29 30\n37 38\n0 2\n36 37\n8 9\n",
"55\n0 0\n1 1\n2 2\n3 3\n4 4\n5 5\n6 6\n7 7\n8 8\n9 9\n10 10\n11 11\n12 12\n13 13\n14 14\n15 15\n16 16\n17 17\n18 18\n19 19\n20 20\n21 21\n22 22\n23 23\n24 24\n25 25\n26 30\n27 27\n28 28\n29 29\n30 30\n31 31\n32 32\n33 33\n34 34\n35 35\n36 36\n37 37\n38 38\n39 39\n40 40\n41 41\n42 42\n43 43\n44 44\n45 45\n46 46\n47 47\n48 48\n49 49\n50 50\n51 51\n52 52\n53 53\n54 54\n",
"3\n21 71\n9 88\n43 62\n",
"68\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n1 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n",
"51\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 62\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 73\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 82\n55 68\n55 70\n55 63\n48 55\n55 55\n55 55\n55 75\n55 75\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 73\n55 55\n55 82\n55 99\n55 60\n",
"3\n1 3\n2 9\n8 9\n",
"68\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 1\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n1 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n",
"68\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n1 2\n0 2\n0 2\n0 2\n0 2\n0 1\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n1 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n",
"14\n64 66\n43 44\n10 12\n76 77\n7 12\n25 46\n87 88\n62 64\n10 41\n58 60\n10 11\n28 29\n57 58\n12 14\n",
"17\n52 69\n47 71\n30 31\n52 54\n41 43\n33 35\n38 40\n56 58\n45 46\n92 93\n73 74\n61 80\n65 66\n37 39\n64 68\n77 78\n28 30\n",
"68\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n1 2\n0 2\n0 2\n0 2\n0 2\n0 1\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 0\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n1 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n",
"26\n1 2\n1 2\n0 2\n1 2\n1 2\n1 3\n1 2\n1 2\n1 2\n2 2\n1 2\n1 2\n0 2\n0 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n",
"68\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n1 2\n0 2\n0 2\n0 2\n0 2\n0 1\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 0\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 0\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n1 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n",
"68\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 4\n1 2\n0 2\n0 2\n0 2\n0 2\n0 1\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 0\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 0\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n1 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n1 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n",
"68\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 4\n1 2\n0 2\n0 2\n0 2\n0 2\n0 1\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 0\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 0\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n1 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n1 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 0\n0 2\n0 2\n",
"68\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 0\n0 4\n1 2\n0 2\n0 2\n0 2\n0 2\n0 1\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 0\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 0\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n1 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n1 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 0\n0 2\n0 2\n",
"68\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 0\n0 4\n1 2\n0 2\n0 2\n0 2\n0 2\n0 1\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 0\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 0\n0 2\n0 2\n0 2\n0 2\n1 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n1 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n1 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 0\n0 2\n0 2\n",
"1\n0 1\n",
"3\n1 3\n2 3\n3 4\n",
"100\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 1\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n",
"14\n64 66\n43 44\n10 12\n76 77\n11 12\n25 27\n87 88\n62 64\n10 41\n58 60\n10 11\n28 29\n57 58\n12 14\n",
"3\n1 1\n2 3\n3 3\n",
"3\n1 20\n0 10\n10 10\n",
"17\n68 69\n47 71\n30 31\n52 54\n41 43\n33 35\n38 40\n56 58\n45 46\n92 93\n73 74\n61 63\n65 66\n37 39\n64 68\n77 78\n28 30\n",
"26\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n2 2\n1 2\n1 2\n1 2\n0 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n",
"10\n1 10\n0 20\n0 30\n0 40\n0 50\n0 60\n0 70\n0 80\n0 84\n0 100\n",
"14\n1 2\n1 1\n1 55\n1 16\n1 1\n1 1\n1 55\n1 62\n1 53\n1 2\n1 1\n1 36\n1 2\n1 3\n",
"1\n0 2\n",
"3\n1 3\n2 3\n3 7\n",
"3\n21 71\n9 88\n43 79\n",
"51\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 62\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 73\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 82\n55 68\n55 70\n55 63\n48 55\n55 55\n55 55\n55 75\n55 75\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 73\n55 55\n19 82\n55 99\n55 60\n",
"14\n64 66\n43 44\n10 12\n76 77\n11 12\n25 46\n87 88\n62 64\n10 41\n58 60\n10 11\n28 29\n57 58\n12 14\n",
"3\n1 1\n2 3\n2 3\n",
"3\n1 2\n0 10\n10 10\n",
"17\n68 69\n47 71\n30 31\n52 54\n41 43\n33 35\n38 40\n56 58\n45 46\n92 93\n73 74\n61 80\n65 66\n37 39\n64 68\n77 78\n28 30\n",
"26\n1 2\n1 2\n0 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n2 2\n1 2\n1 2\n1 2\n0 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n",
"10\n1 10\n0 20\n1 30\n0 40\n0 50\n0 60\n0 70\n0 80\n0 84\n0 100\n",
"14\n1 2\n1 1\n0 55\n1 16\n1 1\n1 1\n1 55\n1 62\n1 53\n1 2\n1 1\n1 36\n1 2\n1 3\n",
"1\n-1 2\n",
"3\n1 2\n2 3\n3 7\n",
"3\n21 71\n9 88\n1 79\n",
"26\n1 2\n1 2\n0 2\n1 2\n1 2\n1 3\n1 2\n1 2\n1 2\n2 2\n1 2\n1 2\n1 2\n0 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n",
"10\n1 10\n1 20\n1 30\n0 40\n0 50\n0 60\n0 70\n0 80\n0 84\n0 100\n",
"14\n1 2\n1 1\n0 55\n1 16\n1 1\n0 1\n1 55\n1 62\n1 53\n1 2\n1 1\n1 36\n1 2\n1 3\n",
"1\n-1 0\n",
"3\n21 71\n9 95\n1 79\n",
"14\n52 66\n43 44\n10 12\n76 77\n7 12\n25 46\n87 88\n62 64\n10 41\n58 60\n10 11\n28 29\n57 58\n12 14\n",
"10\n1 10\n1 20\n1 30\n0 39\n0 50\n0 60\n0 70\n0 80\n0 84\n0 100\n",
"14\n1 2\n1 1\n0 55\n1 16\n1 1\n0 1\n0 55\n1 62\n1 53\n1 2\n1 1\n1 36\n1 2\n1 3\n",
"1\n-1 1\n",
"3\n21 71\n9 95\n1 6\n",
"14\n52 66\n43 44\n10 12\n76 77\n7 12\n25 46\n87 88\n62 64\n10 41\n58 60\n10 19\n28 29\n57 58\n12 14\n",
"26\n1 2\n1 2\n0 2\n1 2\n1 2\n1 3\n1 2\n1 2\n1 2\n2 2\n1 2\n1 2\n0 2\n0 2\n1 2\n1 2\n1 2\n0 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n",
"10\n1 10\n1 20\n1 30\n0 39\n0 50\n1 60\n0 70\n0 80\n0 84\n0 100\n",
"14\n1 2\n1 1\n0 103\n1 16\n1 1\n0 1\n0 55\n1 62\n1 53\n1 2\n1 1\n1 36\n1 2\n1 3\n",
"1\n-2 1\n",
"3\n29 71\n9 95\n1 6\n",
"68\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 4\n1 2\n0 2\n0 2\n0 2\n0 2\n0 1\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 0\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 0\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n1 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n",
"14\n52 66\n43 44\n10 12\n76 77\n7 12\n25 46\n87 88\n62 64\n10 41\n39 60\n10 19\n28 29\n57 58\n12 14\n",
"26\n1 2\n1 2\n0 2\n1 2\n1 2\n1 3\n1 2\n1 2\n1 2\n2 2\n1 2\n1 2\n0 2\n0 2\n1 2\n1 2\n1 2\n0 2\n1 2\n1 2\n1 2\n1 2\n1 2\n2 2\n1 2\n1 2\n",
"10\n1 10\n1 20\n1 30\n-1 39\n0 50\n1 60\n0 70\n0 80\n0 84\n0 100\n",
"14\n1 2\n1 1\n0 103\n1 16\n1 1\n0 1\n0 55\n1 49\n1 53\n1 2\n1 1\n1 36\n1 2\n1 3\n",
"1\n-2 0\n",
"26\n1 2\n1 2\n0 2\n1 2\n1 2\n1 3\n1 2\n1 2\n1 2\n2 2\n1 2\n1 2\n0 2\n0 2\n1 2\n1 2\n1 2\n0 2\n1 2\n1 2\n1 2\n1 2\n1 2\n2 2\n2 2\n1 2\n",
"10\n1 10\n1 20\n1 30\n-1 39\n0 50\n1 60\n0 108\n0 80\n0 84\n0 100\n",
"14\n1 2\n1 1\n0 103\n1 16\n1 1\n0 1\n0 55\n1 49\n1 3\n1 2\n1 1\n1 36\n1 2\n1 3\n",
"26\n1 2\n1 2\n0 2\n1 2\n1 2\n1 3\n1 2\n1 2\n1 2\n2 2\n1 2\n1 2\n0 2\n0 2\n1 2\n1 2\n2 2\n0 2\n1 2\n1 2\n1 2\n1 2\n1 2\n2 2\n2 2\n1 2\n",
"10\n1 10\n1 20\n1 30\n-1 17\n0 50\n1 60\n0 108\n0 80\n0 84\n0 100\n",
"14\n1 2\n1 1\n0 103\n1 16\n1 1\n0 1\n0 55\n1 49\n1 3\n1 2\n1 1\n1 36\n1 2\n1 4\n",
"26\n1 2\n1 2\n0 2\n1 2\n1 2\n1 3\n1 2\n1 2\n1 2\n2 2\n1 2\n1 2\n0 2\n-1 2\n1 2\n1 2\n2 2\n0 2\n1 2\n1 2\n1 2\n1 2\n1 2\n2 2\n2 2\n1 2\n",
"10\n1 10\n1 20\n1 30\n-1 17\n0 50\n1 60\n0 108\n-1 80\n0 84\n0 100\n",
"26\n1 2\n1 2\n0 2\n1 2\n1 2\n1 3\n1 2\n1 2\n1 2\n2 2\n1 2\n1 2\n0 2\n-1 2\n1 2\n1 2\n2 2\n0 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n2 2\n1 2\n",
"10\n1 10\n0 20\n1 30\n-1 17\n0 50\n1 60\n0 108\n-1 80\n0 84\n0 100\n",
"68\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 0\n0 4\n2 2\n0 2\n0 2\n0 2\n0 2\n0 1\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 0\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 0\n0 2\n0 2\n0 2\n0 2\n1 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n1 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n1 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 0\n0 2\n0 2\n",
"26\n1 2\n1 2\n0 2\n1 2\n1 2\n1 3\n1 2\n1 2\n1 2\n2 2\n1 2\n1 2\n0 2\n-1 2\n1 2\n1 2\n2 2\n0 2\n1 2\n1 2\n1 1\n1 2\n1 2\n1 2\n2 2\n1 2\n",
"10\n1 10\n0 20\n1 30\n0 17\n0 50\n1 60\n0 108\n-1 80\n0 84\n0 100\n"
],
"output": [
"0\n",
"2\n",
"8\n",
"0\n",
"10\n",
"8\n",
"42\n",
"2\n",
"10\n",
"0\n",
"12\n",
"4\n",
"0\n",
"0\n",
"3\n",
"0\n",
"68\n",
"0\n",
"12\n",
"2\n",
"5\n",
"7\n",
"0\n",
"22\n",
"9\n",
"0\n",
"10\n",
"7\n",
"5\n",
"1\n",
"3\n",
"67\n",
"13\n",
"2\n",
"66\n",
"65\n",
"8\n",
"11\n",
"64\n",
"4\n",
"63\n",
"62\n",
"61\n",
"60\n",
"59\n",
"0\n",
"1\n",
"0\n",
"7\n",
"0\n",
"2\n",
"10\n",
"1\n",
"10\n",
"7\n",
"1\n",
"2\n",
"3\n",
"13\n",
"7\n",
"0\n",
"1\n",
"10\n",
"2\n",
"10\n",
"7\n",
"1\n",
"1\n",
"3\n",
"3\n",
"10\n",
"7\n",
"0\n",
"3\n",
"8\n",
"10\n",
"7\n",
"1\n",
"3\n",
"9\n",
"5\n",
"10\n",
"7\n",
"1\n",
"3\n",
"63\n",
"9\n",
"5\n",
"10\n",
"7\n",
"1\n",
"5\n",
"10\n",
"7\n",
"5\n",
"10\n",
"7\n",
"5\n",
"10\n",
"5\n",
"10\n",
"59\n",
"5\n",
"10\n"
]
} | 2CODEFORCES
|
467_A. George and Accommodation_38272 | George has recently entered the BSUCP (Berland State University for Cool Programmers). George has a friend Alex who has also entered the university. Now they are moving into a dormitory.
George and Alex want to live in the same room. The dormitory has n rooms in total. At the moment the i-th room has pi people living in it and the room can accommodate qi people in total (pi ≤ qi). Your task is to count how many rooms has free place for both George and Alex.
Input
The first line contains a single integer n (1 ≤ n ≤ 100) — the number of rooms.
The i-th of the next n lines contains two integers pi and qi (0 ≤ pi ≤ qi ≤ 100) — the number of people who already live in the i-th room and the room's capacity.
Output
Print a single integer — the number of rooms where George and Alex can move in.
Examples
Input
3
1 1
2 2
3 3
Output
0
Input
3
1 10
0 10
10 10
Output
2 | c = 0
for _ in range(int(input())):
n = [int(x) for x in input().split()]
n,m = n[0],n[1]
if m - n >= 2:
c += 1
print(c)
| 3Python3
| {
"input": [
"3\n1 1\n2 2\n3 3\n",
"3\n1 10\n0 10\n10 10\n",
"17\n68 69\n47 48\n30 31\n52 54\n41 43\n33 35\n38 40\n56 58\n45 46\n92 93\n73 74\n61 63\n65 66\n37 39\n67 68\n77 78\n28 30\n",
"26\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n",
"10\n0 10\n0 20\n0 30\n0 40\n0 50\n0 60\n0 70\n0 80\n0 90\n0 100\n",
"14\n1 1\n1 1\n1 55\n1 16\n1 1\n1 1\n1 55\n1 62\n1 53\n1 26\n1 1\n1 36\n1 2\n1 3\n",
"44\n0 8\n1 11\n2 19\n3 5\n4 29\n5 45\n6 6\n7 40\n8 19\n9 22\n10 18\n11 26\n12 46\n13 13\n14 27\n15 48\n16 25\n17 20\n18 29\n19 27\n20 45\n21 39\n22 29\n23 39\n24 42\n25 37\n26 52\n27 36\n28 43\n29 35\n30 38\n31 70\n32 47\n33 38\n34 61\n35 71\n36 51\n37 71\n38 59\n39 77\n40 70\n41 80\n42 77\n43 73\n",
"2\n36 67\n61 69\n",
"15\n55 57\n95 97\n57 59\n34 36\n50 52\n96 98\n39 40\n13 15\n13 14\n74 76\n47 48\n56 58\n24 25\n11 13\n67 68\n",
"1\n0 0\n",
"19\n66 67\n97 98\n89 91\n67 69\n67 68\n18 20\n72 74\n28 30\n91 92\n27 28\n75 77\n17 18\n74 75\n28 30\n16 18\n90 92\n9 11\n22 24\n52 54\n",
"13\n14 16\n30 31\n45 46\n19 20\n15 17\n66 67\n75 76\n95 97\n29 30\n37 38\n0 2\n36 37\n8 9\n",
"55\n0 0\n1 1\n2 2\n3 3\n4 4\n5 5\n6 6\n7 7\n8 8\n9 9\n10 10\n11 11\n12 12\n13 13\n14 14\n15 15\n16 16\n17 17\n18 18\n19 19\n20 20\n21 21\n22 22\n23 23\n24 24\n25 25\n26 26\n27 27\n28 28\n29 29\n30 30\n31 31\n32 32\n33 33\n34 34\n35 35\n36 36\n37 37\n38 38\n39 39\n40 40\n41 41\n42 42\n43 43\n44 44\n45 45\n46 46\n47 47\n48 48\n49 49\n50 50\n51 51\n52 52\n53 53\n54 54\n",
"3\n1 2\n2 3\n3 4\n",
"3\n21 71\n10 88\n43 62\n",
"53\n0 1\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 8\n8 9\n9 10\n10 11\n11 12\n12 13\n13 14\n14 15\n15 16\n16 17\n17 18\n18 19\n19 20\n20 21\n21 22\n22 23\n23 24\n24 25\n25 26\n26 27\n27 28\n28 29\n29 30\n30 31\n31 32\n32 33\n33 34\n34 35\n35 36\n36 37\n37 38\n38 39\n39 40\n40 41\n41 42\n42 43\n43 44\n44 45\n45 46\n46 47\n47 48\n48 49\n49 50\n50 51\n51 52\n52 53\n",
"68\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n",
"100\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n",
"51\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 62\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 73\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 82\n55 68\n55 70\n55 63\n55 55\n55 55\n55 55\n55 75\n55 75\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 73\n55 55\n55 82\n55 99\n55 60\n",
"3\n1 3\n2 7\n8 9\n",
"7\n0 1\n1 5\n2 4\n3 5\n4 6\n5 6\n6 8\n",
"14\n64 66\n43 44\n10 12\n76 77\n11 12\n25 27\n87 88\n62 64\n39 41\n58 60\n10 11\n28 29\n57 58\n12 14\n",
"1\n100 100\n",
"38\n74 76\n52 54\n78 80\n48 49\n40 41\n64 65\n28 30\n6 8\n49 51\n68 70\n44 45\n57 59\n24 25\n46 48\n49 51\n4 6\n63 64\n76 78\n57 59\n18 20\n63 64\n71 73\n88 90\n21 22\n89 90\n65 66\n89 91\n96 98\n42 44\n1 1\n74 76\n72 74\n39 40\n75 76\n29 30\n48 49\n87 89\n27 28\n",
"17\n68 69\n47 48\n30 31\n52 54\n41 43\n33 35\n38 40\n56 58\n45 46\n92 93\n73 74\n61 63\n65 66\n37 39\n64 68\n77 78\n28 30\n",
"26\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n2 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n",
"10\n0 10\n0 20\n0 30\n0 40\n0 50\n0 60\n0 70\n0 80\n0 84\n0 100\n",
"14\n1 1\n1 1\n1 55\n1 16\n1 1\n1 1\n1 55\n1 62\n1 53\n1 2\n1 1\n1 36\n1 2\n1 3\n",
"13\n14 16\n30 31\n45 46\n19 20\n15 17\n66 67\n75 135\n95 97\n29 30\n37 38\n0 2\n36 37\n8 9\n",
"55\n0 0\n1 1\n2 2\n3 3\n4 4\n5 5\n6 6\n7 7\n8 8\n9 9\n10 10\n11 11\n12 12\n13 13\n14 14\n15 15\n16 16\n17 17\n18 18\n19 19\n20 20\n21 21\n22 22\n23 23\n24 24\n25 25\n26 30\n27 27\n28 28\n29 29\n30 30\n31 31\n32 32\n33 33\n34 34\n35 35\n36 36\n37 37\n38 38\n39 39\n40 40\n41 41\n42 42\n43 43\n44 44\n45 45\n46 46\n47 47\n48 48\n49 49\n50 50\n51 51\n52 52\n53 53\n54 54\n",
"3\n21 71\n9 88\n43 62\n",
"68\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n1 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n",
"51\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 62\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 73\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 82\n55 68\n55 70\n55 63\n48 55\n55 55\n55 55\n55 75\n55 75\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 73\n55 55\n55 82\n55 99\n55 60\n",
"3\n1 3\n2 9\n8 9\n",
"68\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 1\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n1 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n",
"68\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n1 2\n0 2\n0 2\n0 2\n0 2\n0 1\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n1 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n",
"14\n64 66\n43 44\n10 12\n76 77\n7 12\n25 46\n87 88\n62 64\n10 41\n58 60\n10 11\n28 29\n57 58\n12 14\n",
"17\n52 69\n47 71\n30 31\n52 54\n41 43\n33 35\n38 40\n56 58\n45 46\n92 93\n73 74\n61 80\n65 66\n37 39\n64 68\n77 78\n28 30\n",
"68\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n1 2\n0 2\n0 2\n0 2\n0 2\n0 1\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 0\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n1 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n",
"26\n1 2\n1 2\n0 2\n1 2\n1 2\n1 3\n1 2\n1 2\n1 2\n2 2\n1 2\n1 2\n0 2\n0 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n",
"68\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n1 2\n0 2\n0 2\n0 2\n0 2\n0 1\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 0\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 0\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n1 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n",
"68\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 4\n1 2\n0 2\n0 2\n0 2\n0 2\n0 1\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 0\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 0\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n1 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n1 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n",
"68\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 4\n1 2\n0 2\n0 2\n0 2\n0 2\n0 1\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 0\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 0\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n1 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n1 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 0\n0 2\n0 2\n",
"68\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 0\n0 4\n1 2\n0 2\n0 2\n0 2\n0 2\n0 1\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 0\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 0\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n1 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n1 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 0\n0 2\n0 2\n",
"68\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 0\n0 4\n1 2\n0 2\n0 2\n0 2\n0 2\n0 1\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 0\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 0\n0 2\n0 2\n0 2\n0 2\n1 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n1 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n1 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 0\n0 2\n0 2\n",
"1\n0 1\n",
"3\n1 3\n2 3\n3 4\n",
"100\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 1\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n",
"14\n64 66\n43 44\n10 12\n76 77\n11 12\n25 27\n87 88\n62 64\n10 41\n58 60\n10 11\n28 29\n57 58\n12 14\n",
"3\n1 1\n2 3\n3 3\n",
"3\n1 20\n0 10\n10 10\n",
"17\n68 69\n47 71\n30 31\n52 54\n41 43\n33 35\n38 40\n56 58\n45 46\n92 93\n73 74\n61 63\n65 66\n37 39\n64 68\n77 78\n28 30\n",
"26\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n2 2\n1 2\n1 2\n1 2\n0 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n",
"10\n1 10\n0 20\n0 30\n0 40\n0 50\n0 60\n0 70\n0 80\n0 84\n0 100\n",
"14\n1 2\n1 1\n1 55\n1 16\n1 1\n1 1\n1 55\n1 62\n1 53\n1 2\n1 1\n1 36\n1 2\n1 3\n",
"1\n0 2\n",
"3\n1 3\n2 3\n3 7\n",
"3\n21 71\n9 88\n43 79\n",
"51\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 62\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 73\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 82\n55 68\n55 70\n55 63\n48 55\n55 55\n55 55\n55 75\n55 75\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 73\n55 55\n19 82\n55 99\n55 60\n",
"14\n64 66\n43 44\n10 12\n76 77\n11 12\n25 46\n87 88\n62 64\n10 41\n58 60\n10 11\n28 29\n57 58\n12 14\n",
"3\n1 1\n2 3\n2 3\n",
"3\n1 2\n0 10\n10 10\n",
"17\n68 69\n47 71\n30 31\n52 54\n41 43\n33 35\n38 40\n56 58\n45 46\n92 93\n73 74\n61 80\n65 66\n37 39\n64 68\n77 78\n28 30\n",
"26\n1 2\n1 2\n0 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n2 2\n1 2\n1 2\n1 2\n0 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n",
"10\n1 10\n0 20\n1 30\n0 40\n0 50\n0 60\n0 70\n0 80\n0 84\n0 100\n",
"14\n1 2\n1 1\n0 55\n1 16\n1 1\n1 1\n1 55\n1 62\n1 53\n1 2\n1 1\n1 36\n1 2\n1 3\n",
"1\n-1 2\n",
"3\n1 2\n2 3\n3 7\n",
"3\n21 71\n9 88\n1 79\n",
"26\n1 2\n1 2\n0 2\n1 2\n1 2\n1 3\n1 2\n1 2\n1 2\n2 2\n1 2\n1 2\n1 2\n0 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n",
"10\n1 10\n1 20\n1 30\n0 40\n0 50\n0 60\n0 70\n0 80\n0 84\n0 100\n",
"14\n1 2\n1 1\n0 55\n1 16\n1 1\n0 1\n1 55\n1 62\n1 53\n1 2\n1 1\n1 36\n1 2\n1 3\n",
"1\n-1 0\n",
"3\n21 71\n9 95\n1 79\n",
"14\n52 66\n43 44\n10 12\n76 77\n7 12\n25 46\n87 88\n62 64\n10 41\n58 60\n10 11\n28 29\n57 58\n12 14\n",
"10\n1 10\n1 20\n1 30\n0 39\n0 50\n0 60\n0 70\n0 80\n0 84\n0 100\n",
"14\n1 2\n1 1\n0 55\n1 16\n1 1\n0 1\n0 55\n1 62\n1 53\n1 2\n1 1\n1 36\n1 2\n1 3\n",
"1\n-1 1\n",
"3\n21 71\n9 95\n1 6\n",
"14\n52 66\n43 44\n10 12\n76 77\n7 12\n25 46\n87 88\n62 64\n10 41\n58 60\n10 19\n28 29\n57 58\n12 14\n",
"26\n1 2\n1 2\n0 2\n1 2\n1 2\n1 3\n1 2\n1 2\n1 2\n2 2\n1 2\n1 2\n0 2\n0 2\n1 2\n1 2\n1 2\n0 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n",
"10\n1 10\n1 20\n1 30\n0 39\n0 50\n1 60\n0 70\n0 80\n0 84\n0 100\n",
"14\n1 2\n1 1\n0 103\n1 16\n1 1\n0 1\n0 55\n1 62\n1 53\n1 2\n1 1\n1 36\n1 2\n1 3\n",
"1\n-2 1\n",
"3\n29 71\n9 95\n1 6\n",
"68\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 4\n1 2\n0 2\n0 2\n0 2\n0 2\n0 1\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 0\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 0\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n1 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n",
"14\n52 66\n43 44\n10 12\n76 77\n7 12\n25 46\n87 88\n62 64\n10 41\n39 60\n10 19\n28 29\n57 58\n12 14\n",
"26\n1 2\n1 2\n0 2\n1 2\n1 2\n1 3\n1 2\n1 2\n1 2\n2 2\n1 2\n1 2\n0 2\n0 2\n1 2\n1 2\n1 2\n0 2\n1 2\n1 2\n1 2\n1 2\n1 2\n2 2\n1 2\n1 2\n",
"10\n1 10\n1 20\n1 30\n-1 39\n0 50\n1 60\n0 70\n0 80\n0 84\n0 100\n",
"14\n1 2\n1 1\n0 103\n1 16\n1 1\n0 1\n0 55\n1 49\n1 53\n1 2\n1 1\n1 36\n1 2\n1 3\n",
"1\n-2 0\n",
"26\n1 2\n1 2\n0 2\n1 2\n1 2\n1 3\n1 2\n1 2\n1 2\n2 2\n1 2\n1 2\n0 2\n0 2\n1 2\n1 2\n1 2\n0 2\n1 2\n1 2\n1 2\n1 2\n1 2\n2 2\n2 2\n1 2\n",
"10\n1 10\n1 20\n1 30\n-1 39\n0 50\n1 60\n0 108\n0 80\n0 84\n0 100\n",
"14\n1 2\n1 1\n0 103\n1 16\n1 1\n0 1\n0 55\n1 49\n1 3\n1 2\n1 1\n1 36\n1 2\n1 3\n",
"26\n1 2\n1 2\n0 2\n1 2\n1 2\n1 3\n1 2\n1 2\n1 2\n2 2\n1 2\n1 2\n0 2\n0 2\n1 2\n1 2\n2 2\n0 2\n1 2\n1 2\n1 2\n1 2\n1 2\n2 2\n2 2\n1 2\n",
"10\n1 10\n1 20\n1 30\n-1 17\n0 50\n1 60\n0 108\n0 80\n0 84\n0 100\n",
"14\n1 2\n1 1\n0 103\n1 16\n1 1\n0 1\n0 55\n1 49\n1 3\n1 2\n1 1\n1 36\n1 2\n1 4\n",
"26\n1 2\n1 2\n0 2\n1 2\n1 2\n1 3\n1 2\n1 2\n1 2\n2 2\n1 2\n1 2\n0 2\n-1 2\n1 2\n1 2\n2 2\n0 2\n1 2\n1 2\n1 2\n1 2\n1 2\n2 2\n2 2\n1 2\n",
"10\n1 10\n1 20\n1 30\n-1 17\n0 50\n1 60\n0 108\n-1 80\n0 84\n0 100\n",
"26\n1 2\n1 2\n0 2\n1 2\n1 2\n1 3\n1 2\n1 2\n1 2\n2 2\n1 2\n1 2\n0 2\n-1 2\n1 2\n1 2\n2 2\n0 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n2 2\n1 2\n",
"10\n1 10\n0 20\n1 30\n-1 17\n0 50\n1 60\n0 108\n-1 80\n0 84\n0 100\n",
"68\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 0\n0 4\n2 2\n0 2\n0 2\n0 2\n0 2\n0 1\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 0\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 0\n0 2\n0 2\n0 2\n0 2\n1 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n1 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n1 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 0\n0 2\n0 2\n",
"26\n1 2\n1 2\n0 2\n1 2\n1 2\n1 3\n1 2\n1 2\n1 2\n2 2\n1 2\n1 2\n0 2\n-1 2\n1 2\n1 2\n2 2\n0 2\n1 2\n1 2\n1 1\n1 2\n1 2\n1 2\n2 2\n1 2\n",
"10\n1 10\n0 20\n1 30\n0 17\n0 50\n1 60\n0 108\n-1 80\n0 84\n0 100\n"
],
"output": [
"0\n",
"2\n",
"8\n",
"0\n",
"10\n",
"8\n",
"42\n",
"2\n",
"10\n",
"0\n",
"12\n",
"4\n",
"0\n",
"0\n",
"3\n",
"0\n",
"68\n",
"0\n",
"12\n",
"2\n",
"5\n",
"7\n",
"0\n",
"22\n",
"9\n",
"0\n",
"10\n",
"7\n",
"5\n",
"1\n",
"3\n",
"67\n",
"13\n",
"2\n",
"66\n",
"65\n",
"8\n",
"11\n",
"64\n",
"4\n",
"63\n",
"62\n",
"61\n",
"60\n",
"59\n",
"0\n",
"1\n",
"0\n",
"7\n",
"0\n",
"2\n",
"10\n",
"1\n",
"10\n",
"7\n",
"1\n",
"2\n",
"3\n",
"13\n",
"7\n",
"0\n",
"1\n",
"10\n",
"2\n",
"10\n",
"7\n",
"1\n",
"1\n",
"3\n",
"3\n",
"10\n",
"7\n",
"0\n",
"3\n",
"8\n",
"10\n",
"7\n",
"1\n",
"3\n",
"9\n",
"5\n",
"10\n",
"7\n",
"1\n",
"3\n",
"63\n",
"9\n",
"5\n",
"10\n",
"7\n",
"1\n",
"5\n",
"10\n",
"7\n",
"5\n",
"10\n",
"7\n",
"5\n",
"10\n",
"5\n",
"10\n",
"59\n",
"5\n",
"10\n"
]
} | 2CODEFORCES
|
467_A. George and Accommodation_38273 | George has recently entered the BSUCP (Berland State University for Cool Programmers). George has a friend Alex who has also entered the university. Now they are moving into a dormitory.
George and Alex want to live in the same room. The dormitory has n rooms in total. At the moment the i-th room has pi people living in it and the room can accommodate qi people in total (pi ≤ qi). Your task is to count how many rooms has free place for both George and Alex.
Input
The first line contains a single integer n (1 ≤ n ≤ 100) — the number of rooms.
The i-th of the next n lines contains two integers pi and qi (0 ≤ pi ≤ qi ≤ 100) — the number of people who already live in the i-th room and the room's capacity.
Output
Print a single integer — the number of rooms where George and Alex can move in.
Examples
Input
3
1 1
2 2
3 3
Output
0
Input
3
1 10
0 10
10 10
Output
2 | import java.util.*;
public class Solution
{
public static void main (String[] args) throws java.lang.Exception
{
int solution=0;
Scanner scanner = new Scanner(System.in);
int num_rooms = scanner.nextInt();
for(int i=0; i<num_rooms; i++){
int living = scanner.nextInt();
int max_capacity = scanner.nextInt();
if(max_capacity-living >=2){
solution +=1;
}
}
System.out.println(solution);
}
}
| 4JAVA
| {
"input": [
"3\n1 1\n2 2\n3 3\n",
"3\n1 10\n0 10\n10 10\n",
"17\n68 69\n47 48\n30 31\n52 54\n41 43\n33 35\n38 40\n56 58\n45 46\n92 93\n73 74\n61 63\n65 66\n37 39\n67 68\n77 78\n28 30\n",
"26\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n",
"10\n0 10\n0 20\n0 30\n0 40\n0 50\n0 60\n0 70\n0 80\n0 90\n0 100\n",
"14\n1 1\n1 1\n1 55\n1 16\n1 1\n1 1\n1 55\n1 62\n1 53\n1 26\n1 1\n1 36\n1 2\n1 3\n",
"44\n0 8\n1 11\n2 19\n3 5\n4 29\n5 45\n6 6\n7 40\n8 19\n9 22\n10 18\n11 26\n12 46\n13 13\n14 27\n15 48\n16 25\n17 20\n18 29\n19 27\n20 45\n21 39\n22 29\n23 39\n24 42\n25 37\n26 52\n27 36\n28 43\n29 35\n30 38\n31 70\n32 47\n33 38\n34 61\n35 71\n36 51\n37 71\n38 59\n39 77\n40 70\n41 80\n42 77\n43 73\n",
"2\n36 67\n61 69\n",
"15\n55 57\n95 97\n57 59\n34 36\n50 52\n96 98\n39 40\n13 15\n13 14\n74 76\n47 48\n56 58\n24 25\n11 13\n67 68\n",
"1\n0 0\n",
"19\n66 67\n97 98\n89 91\n67 69\n67 68\n18 20\n72 74\n28 30\n91 92\n27 28\n75 77\n17 18\n74 75\n28 30\n16 18\n90 92\n9 11\n22 24\n52 54\n",
"13\n14 16\n30 31\n45 46\n19 20\n15 17\n66 67\n75 76\n95 97\n29 30\n37 38\n0 2\n36 37\n8 9\n",
"55\n0 0\n1 1\n2 2\n3 3\n4 4\n5 5\n6 6\n7 7\n8 8\n9 9\n10 10\n11 11\n12 12\n13 13\n14 14\n15 15\n16 16\n17 17\n18 18\n19 19\n20 20\n21 21\n22 22\n23 23\n24 24\n25 25\n26 26\n27 27\n28 28\n29 29\n30 30\n31 31\n32 32\n33 33\n34 34\n35 35\n36 36\n37 37\n38 38\n39 39\n40 40\n41 41\n42 42\n43 43\n44 44\n45 45\n46 46\n47 47\n48 48\n49 49\n50 50\n51 51\n52 52\n53 53\n54 54\n",
"3\n1 2\n2 3\n3 4\n",
"3\n21 71\n10 88\n43 62\n",
"53\n0 1\n1 2\n2 3\n3 4\n4 5\n5 6\n6 7\n7 8\n8 9\n9 10\n10 11\n11 12\n12 13\n13 14\n14 15\n15 16\n16 17\n17 18\n18 19\n19 20\n20 21\n21 22\n22 23\n23 24\n24 25\n25 26\n26 27\n27 28\n28 29\n29 30\n30 31\n31 32\n32 33\n33 34\n34 35\n35 36\n36 37\n37 38\n38 39\n39 40\n40 41\n41 42\n42 43\n43 44\n44 45\n45 46\n46 47\n47 48\n48 49\n49 50\n50 51\n51 52\n52 53\n",
"68\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n",
"100\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n",
"51\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 62\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 73\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 82\n55 68\n55 70\n55 63\n55 55\n55 55\n55 55\n55 75\n55 75\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 73\n55 55\n55 82\n55 99\n55 60\n",
"3\n1 3\n2 7\n8 9\n",
"7\n0 1\n1 5\n2 4\n3 5\n4 6\n5 6\n6 8\n",
"14\n64 66\n43 44\n10 12\n76 77\n11 12\n25 27\n87 88\n62 64\n39 41\n58 60\n10 11\n28 29\n57 58\n12 14\n",
"1\n100 100\n",
"38\n74 76\n52 54\n78 80\n48 49\n40 41\n64 65\n28 30\n6 8\n49 51\n68 70\n44 45\n57 59\n24 25\n46 48\n49 51\n4 6\n63 64\n76 78\n57 59\n18 20\n63 64\n71 73\n88 90\n21 22\n89 90\n65 66\n89 91\n96 98\n42 44\n1 1\n74 76\n72 74\n39 40\n75 76\n29 30\n48 49\n87 89\n27 28\n",
"17\n68 69\n47 48\n30 31\n52 54\n41 43\n33 35\n38 40\n56 58\n45 46\n92 93\n73 74\n61 63\n65 66\n37 39\n64 68\n77 78\n28 30\n",
"26\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n2 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n",
"10\n0 10\n0 20\n0 30\n0 40\n0 50\n0 60\n0 70\n0 80\n0 84\n0 100\n",
"14\n1 1\n1 1\n1 55\n1 16\n1 1\n1 1\n1 55\n1 62\n1 53\n1 2\n1 1\n1 36\n1 2\n1 3\n",
"13\n14 16\n30 31\n45 46\n19 20\n15 17\n66 67\n75 135\n95 97\n29 30\n37 38\n0 2\n36 37\n8 9\n",
"55\n0 0\n1 1\n2 2\n3 3\n4 4\n5 5\n6 6\n7 7\n8 8\n9 9\n10 10\n11 11\n12 12\n13 13\n14 14\n15 15\n16 16\n17 17\n18 18\n19 19\n20 20\n21 21\n22 22\n23 23\n24 24\n25 25\n26 30\n27 27\n28 28\n29 29\n30 30\n31 31\n32 32\n33 33\n34 34\n35 35\n36 36\n37 37\n38 38\n39 39\n40 40\n41 41\n42 42\n43 43\n44 44\n45 45\n46 46\n47 47\n48 48\n49 49\n50 50\n51 51\n52 52\n53 53\n54 54\n",
"3\n21 71\n9 88\n43 62\n",
"68\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n1 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n",
"51\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 62\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 73\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 82\n55 68\n55 70\n55 63\n48 55\n55 55\n55 55\n55 75\n55 75\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 73\n55 55\n55 82\n55 99\n55 60\n",
"3\n1 3\n2 9\n8 9\n",
"68\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 1\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n1 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n",
"68\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n1 2\n0 2\n0 2\n0 2\n0 2\n0 1\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n1 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n",
"14\n64 66\n43 44\n10 12\n76 77\n7 12\n25 46\n87 88\n62 64\n10 41\n58 60\n10 11\n28 29\n57 58\n12 14\n",
"17\n52 69\n47 71\n30 31\n52 54\n41 43\n33 35\n38 40\n56 58\n45 46\n92 93\n73 74\n61 80\n65 66\n37 39\n64 68\n77 78\n28 30\n",
"68\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n1 2\n0 2\n0 2\n0 2\n0 2\n0 1\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 0\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n1 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n",
"26\n1 2\n1 2\n0 2\n1 2\n1 2\n1 3\n1 2\n1 2\n1 2\n2 2\n1 2\n1 2\n0 2\n0 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n",
"68\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n1 2\n0 2\n0 2\n0 2\n0 2\n0 1\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 0\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 0\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n1 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n",
"68\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 4\n1 2\n0 2\n0 2\n0 2\n0 2\n0 1\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 0\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 0\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n1 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n1 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n",
"68\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 4\n1 2\n0 2\n0 2\n0 2\n0 2\n0 1\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 0\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 0\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n1 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n1 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 0\n0 2\n0 2\n",
"68\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 0\n0 4\n1 2\n0 2\n0 2\n0 2\n0 2\n0 1\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 0\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 0\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n1 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n1 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 0\n0 2\n0 2\n",
"68\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 0\n0 4\n1 2\n0 2\n0 2\n0 2\n0 2\n0 1\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 0\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 0\n0 2\n0 2\n0 2\n0 2\n1 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n1 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n1 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 0\n0 2\n0 2\n",
"1\n0 1\n",
"3\n1 3\n2 3\n3 4\n",
"100\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 1\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n0 0\n",
"14\n64 66\n43 44\n10 12\n76 77\n11 12\n25 27\n87 88\n62 64\n10 41\n58 60\n10 11\n28 29\n57 58\n12 14\n",
"3\n1 1\n2 3\n3 3\n",
"3\n1 20\n0 10\n10 10\n",
"17\n68 69\n47 71\n30 31\n52 54\n41 43\n33 35\n38 40\n56 58\n45 46\n92 93\n73 74\n61 63\n65 66\n37 39\n64 68\n77 78\n28 30\n",
"26\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n2 2\n1 2\n1 2\n1 2\n0 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n",
"10\n1 10\n0 20\n0 30\n0 40\n0 50\n0 60\n0 70\n0 80\n0 84\n0 100\n",
"14\n1 2\n1 1\n1 55\n1 16\n1 1\n1 1\n1 55\n1 62\n1 53\n1 2\n1 1\n1 36\n1 2\n1 3\n",
"1\n0 2\n",
"3\n1 3\n2 3\n3 7\n",
"3\n21 71\n9 88\n43 79\n",
"51\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 62\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 73\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 82\n55 68\n55 70\n55 63\n48 55\n55 55\n55 55\n55 75\n55 75\n55 55\n55 55\n55 55\n55 55\n55 55\n55 55\n55 73\n55 55\n19 82\n55 99\n55 60\n",
"14\n64 66\n43 44\n10 12\n76 77\n11 12\n25 46\n87 88\n62 64\n10 41\n58 60\n10 11\n28 29\n57 58\n12 14\n",
"3\n1 1\n2 3\n2 3\n",
"3\n1 2\n0 10\n10 10\n",
"17\n68 69\n47 71\n30 31\n52 54\n41 43\n33 35\n38 40\n56 58\n45 46\n92 93\n73 74\n61 80\n65 66\n37 39\n64 68\n77 78\n28 30\n",
"26\n1 2\n1 2\n0 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n2 2\n1 2\n1 2\n1 2\n0 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n",
"10\n1 10\n0 20\n1 30\n0 40\n0 50\n0 60\n0 70\n0 80\n0 84\n0 100\n",
"14\n1 2\n1 1\n0 55\n1 16\n1 1\n1 1\n1 55\n1 62\n1 53\n1 2\n1 1\n1 36\n1 2\n1 3\n",
"1\n-1 2\n",
"3\n1 2\n2 3\n3 7\n",
"3\n21 71\n9 88\n1 79\n",
"26\n1 2\n1 2\n0 2\n1 2\n1 2\n1 3\n1 2\n1 2\n1 2\n2 2\n1 2\n1 2\n1 2\n0 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n",
"10\n1 10\n1 20\n1 30\n0 40\n0 50\n0 60\n0 70\n0 80\n0 84\n0 100\n",
"14\n1 2\n1 1\n0 55\n1 16\n1 1\n0 1\n1 55\n1 62\n1 53\n1 2\n1 1\n1 36\n1 2\n1 3\n",
"1\n-1 0\n",
"3\n21 71\n9 95\n1 79\n",
"14\n52 66\n43 44\n10 12\n76 77\n7 12\n25 46\n87 88\n62 64\n10 41\n58 60\n10 11\n28 29\n57 58\n12 14\n",
"10\n1 10\n1 20\n1 30\n0 39\n0 50\n0 60\n0 70\n0 80\n0 84\n0 100\n",
"14\n1 2\n1 1\n0 55\n1 16\n1 1\n0 1\n0 55\n1 62\n1 53\n1 2\n1 1\n1 36\n1 2\n1 3\n",
"1\n-1 1\n",
"3\n21 71\n9 95\n1 6\n",
"14\n52 66\n43 44\n10 12\n76 77\n7 12\n25 46\n87 88\n62 64\n10 41\n58 60\n10 19\n28 29\n57 58\n12 14\n",
"26\n1 2\n1 2\n0 2\n1 2\n1 2\n1 3\n1 2\n1 2\n1 2\n2 2\n1 2\n1 2\n0 2\n0 2\n1 2\n1 2\n1 2\n0 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n",
"10\n1 10\n1 20\n1 30\n0 39\n0 50\n1 60\n0 70\n0 80\n0 84\n0 100\n",
"14\n1 2\n1 1\n0 103\n1 16\n1 1\n0 1\n0 55\n1 62\n1 53\n1 2\n1 1\n1 36\n1 2\n1 3\n",
"1\n-2 1\n",
"3\n29 71\n9 95\n1 6\n",
"68\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 4\n1 2\n0 2\n0 2\n0 2\n0 2\n0 1\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 0\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 0\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n1 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n",
"14\n52 66\n43 44\n10 12\n76 77\n7 12\n25 46\n87 88\n62 64\n10 41\n39 60\n10 19\n28 29\n57 58\n12 14\n",
"26\n1 2\n1 2\n0 2\n1 2\n1 2\n1 3\n1 2\n1 2\n1 2\n2 2\n1 2\n1 2\n0 2\n0 2\n1 2\n1 2\n1 2\n0 2\n1 2\n1 2\n1 2\n1 2\n1 2\n2 2\n1 2\n1 2\n",
"10\n1 10\n1 20\n1 30\n-1 39\n0 50\n1 60\n0 70\n0 80\n0 84\n0 100\n",
"14\n1 2\n1 1\n0 103\n1 16\n1 1\n0 1\n0 55\n1 49\n1 53\n1 2\n1 1\n1 36\n1 2\n1 3\n",
"1\n-2 0\n",
"26\n1 2\n1 2\n0 2\n1 2\n1 2\n1 3\n1 2\n1 2\n1 2\n2 2\n1 2\n1 2\n0 2\n0 2\n1 2\n1 2\n1 2\n0 2\n1 2\n1 2\n1 2\n1 2\n1 2\n2 2\n2 2\n1 2\n",
"10\n1 10\n1 20\n1 30\n-1 39\n0 50\n1 60\n0 108\n0 80\n0 84\n0 100\n",
"14\n1 2\n1 1\n0 103\n1 16\n1 1\n0 1\n0 55\n1 49\n1 3\n1 2\n1 1\n1 36\n1 2\n1 3\n",
"26\n1 2\n1 2\n0 2\n1 2\n1 2\n1 3\n1 2\n1 2\n1 2\n2 2\n1 2\n1 2\n0 2\n0 2\n1 2\n1 2\n2 2\n0 2\n1 2\n1 2\n1 2\n1 2\n1 2\n2 2\n2 2\n1 2\n",
"10\n1 10\n1 20\n1 30\n-1 17\n0 50\n1 60\n0 108\n0 80\n0 84\n0 100\n",
"14\n1 2\n1 1\n0 103\n1 16\n1 1\n0 1\n0 55\n1 49\n1 3\n1 2\n1 1\n1 36\n1 2\n1 4\n",
"26\n1 2\n1 2\n0 2\n1 2\n1 2\n1 3\n1 2\n1 2\n1 2\n2 2\n1 2\n1 2\n0 2\n-1 2\n1 2\n1 2\n2 2\n0 2\n1 2\n1 2\n1 2\n1 2\n1 2\n2 2\n2 2\n1 2\n",
"10\n1 10\n1 20\n1 30\n-1 17\n0 50\n1 60\n0 108\n-1 80\n0 84\n0 100\n",
"26\n1 2\n1 2\n0 2\n1 2\n1 2\n1 3\n1 2\n1 2\n1 2\n2 2\n1 2\n1 2\n0 2\n-1 2\n1 2\n1 2\n2 2\n0 2\n1 2\n1 2\n1 2\n1 2\n1 2\n1 2\n2 2\n1 2\n",
"10\n1 10\n0 20\n1 30\n-1 17\n0 50\n1 60\n0 108\n-1 80\n0 84\n0 100\n",
"68\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 0\n0 4\n2 2\n0 2\n0 2\n0 2\n0 2\n0 1\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 0\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 0\n0 2\n0 2\n0 2\n0 2\n1 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n1 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n1 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 2\n0 0\n0 2\n0 2\n",
"26\n1 2\n1 2\n0 2\n1 2\n1 2\n1 3\n1 2\n1 2\n1 2\n2 2\n1 2\n1 2\n0 2\n-1 2\n1 2\n1 2\n2 2\n0 2\n1 2\n1 2\n1 1\n1 2\n1 2\n1 2\n2 2\n1 2\n",
"10\n1 10\n0 20\n1 30\n0 17\n0 50\n1 60\n0 108\n-1 80\n0 84\n0 100\n"
],
"output": [
"0\n",
"2\n",
"8\n",
"0\n",
"10\n",
"8\n",
"42\n",
"2\n",
"10\n",
"0\n",
"12\n",
"4\n",
"0\n",
"0\n",
"3\n",
"0\n",
"68\n",
"0\n",
"12\n",
"2\n",
"5\n",
"7\n",
"0\n",
"22\n",
"9\n",
"0\n",
"10\n",
"7\n",
"5\n",
"1\n",
"3\n",
"67\n",
"13\n",
"2\n",
"66\n",
"65\n",
"8\n",
"11\n",
"64\n",
"4\n",
"63\n",
"62\n",
"61\n",
"60\n",
"59\n",
"0\n",
"1\n",
"0\n",
"7\n",
"0\n",
"2\n",
"10\n",
"1\n",
"10\n",
"7\n",
"1\n",
"2\n",
"3\n",
"13\n",
"7\n",
"0\n",
"1\n",
"10\n",
"2\n",
"10\n",
"7\n",
"1\n",
"1\n",
"3\n",
"3\n",
"10\n",
"7\n",
"0\n",
"3\n",
"8\n",
"10\n",
"7\n",
"1\n",
"3\n",
"9\n",
"5\n",
"10\n",
"7\n",
"1\n",
"3\n",
"63\n",
"9\n",
"5\n",
"10\n",
"7\n",
"1\n",
"5\n",
"10\n",
"7\n",
"5\n",
"10\n",
"7\n",
"5\n",
"10\n",
"5\n",
"10\n",
"59\n",
"5\n",
"10\n"
]
} | 2CODEFORCES
|
48_D. Permutations_38274 | A permutation is a sequence of integers from 1 to n of length n containing each number exactly once. For example, (1), (4, 3, 5, 1, 2), (3, 2, 1) are permutations, and (1, 1), (4, 3, 1), (2, 3, 4) are not.
There are many tasks on permutations. Today you are going to solve one of them. Let’s imagine that somebody took several permutations (perhaps, with a different number of elements), wrote them down consecutively as one array and then shuffled the resulting array. The task is to restore the initial permutations if it is possible.
Input
The first line contains an integer n (1 ≤ n ≤ 105). The next line contains the mixed array of n integers, divided with a single space. The numbers in the array are from 1 to 105.
Output
If this array can be split into several permutations so that every element of the array belongs to exactly one permutation, print in the first line the number of permutations. The second line should contain n numbers, corresponding to the elements of the given array. If the i-th element belongs to the first permutation, the i-th number should be 1, if it belongs to the second one, then its number should be 2 and so on. The order of the permutations’ numbering is free.
If several solutions are possible, print any one of them. If there’s no solution, print in the first line - 1.
Examples
Input
9
1 2 3 1 2 1 4 2 5
Output
3
3 1 2 1 2 2 2 3 2
Input
4
4 3 2 1
Output
1
1 1 1 1
Input
4
1 2 2 3
Output
-1
Note
In the first sample test the array is split into three permutations: (2, 1), (3, 2, 1, 4, 5), (1, 2). The first permutation is formed by the second and the fourth elements of the array, the second one — by the third, the fifth, the sixth, the seventh and the ninth elements, the third one — by the first and the eigth elements. Clearly, there are other splitting variants possible. | def solve():
max_n = 100000
n = int(raw_input())
a = [0] * max_n
b = []
for s in raw_input().split():
b.append(int(s))
for x in b:
a[x - 1] += 1
for i in range(1, len(a)):
if a[i] > a[i - 1]:
print -1
return
occurences = [0] * max_n
res = [0] * n
for i in range(0, len(b)):
occurences[b[i]] += 1
res[i] = occurences[b[i]]
m = 0
for x in res:
m = max(x, m)
print m
for x in res:
print x,
solve() | 1Python2
| {
"input": [
"9\n1 2 3 1 2 1 4 2 5\n",
"4\n4 3 2 1\n",
"4\n1 2 2 3\n",
"2\n1000 1\n",
"5\n2 2 1 1 3\n",
"100\n12 18 1 1 14 23 1 1 22 5 7 9 7 1 1 1 3 8 4 2 1 6 9 1 3 2 11 1 11 2 3 2 1 4 2 7 1 16 3 4 2 13 3 1 5 11 2 10 20 24 3 21 5 2 6 2 1 10 10 5 17 1 1 4 19 8 5 5 3 9 4 2 7 8 10 4 9 1 3 3 9 7 6 4 4 3 6 8 12 1 3 6 2 1 8 4 1 15 2 5\n",
"50\n7 1 6 5 15 3 13 7 1 1 4 2 4 3 2 1 11 9 4 2 3 7 1 1 1 14 3 14 5 2 5 4 1 8 2 2 2 2 1 1 4 1 2 3 6 12 1 1 5 1\n",
"100\n10 1 13 1 5 2 5 5 9 10 3 8 4 1 3 5 6 4 1 4 9 8 1 1 1 1 8 2 3 1 1 2 5 1 1 12 6 4 5 3 1 3 18 10 1 2 3 2 6 2 3 15 1 3 5 3 9 7 1 6 11 7 7 8 6 17 11 7 6 1 4 4 1 1 3 1 2 6 7 14 4 4 5 1 11 1 4 2 8 4 2 7 16 12 1 1 2 2 1 2\n",
"3\n2 1 1\n",
"1\n1\n",
"9\n1 2 3 1 2 1 4 2 5\n",
"20\n4 6 6 4 5 4 3 2 5 7 3 2 4 1 3 1 1 4 1 7\n",
"6\n3 3 2 2 1 1\n",
"20\n2 10 3 3 2 1 14 13 2 15 1 4 5 12 7 11 9 1 6 8\n",
"30\n1 3 2 5 9 4 16 14 2 2 4 11 7 17 1 15 13 3 6 12 6 19 8 1 20 5 18 4 10 3\n",
"20\n1 1 1 2 3 1 5 9 5 8 4 6 7 3 1 2 2 1 3 4\n",
"30\n2 8 3 3 7 4 2 9 4 3 5 6 1 5 3 5 8 1 9 6 6 7 2 7 1 1 1 10 2 1\n",
"10\n4 1 2 1 3 3 1 2 2 1\n",
"10\n1 2 5 1 1 1 4 1 3 2\n",
"2\n100000 1\n",
"50\n1 1 4 1 1 1 1 1 1 3 1 1 3 2 1 1 1 1 5 2 1 1 1 1 1 3 1 1 1 1 1 1 2 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1\n",
"10\n2 2 6 3 1 4 5 3 7 7\n",
"30\n8 7 9 6 2 3 7 1 1 5 7 2 3 1 7 4 5 6 3 9 4 9 4 2 3 1 1 2 2 10\n",
"1\n2\n",
"20\n1 7 2 3 1 1 8 1 6 1 9 11 5 10 1 4 2 3 1 2\n",
"100\n9 6 3 28 10 2 2 11 2 1 25 3 13 5 14 13 4 14 2 16 12 27 8 1 7 9 8 19 33 23 4 1 15 6 7 12 2 8 30 4 1 31 6 1 15 5 18 3 2 24 7 3 1 20 10 8 26 22 3 3 9 6 1 10 1 5 1 3 7 6 11 10 1 16 19 5 9 4 4 4 2 18 12 21 11 5 2 32 17 29 2 4 8 1 7 5 3 2 17 1\n",
"20\n2 7 3 8 4 6 3 7 6 4 13 5 1 12 1 10 2 11 5 9\n",
"30\n6 1 2 3 6 4 1 8 1 2 2 5 5 1 1 3 9 1 5 8 1 2 7 7 4 3 1 3 4 2\n",
"10\n2 1 2 4 6 1 5 3 7 1\n",
"100\n2 13 10 4 13 8 22 11 5 3 4 6 19 4 8 8 6 1 16 4 11 17 5 18 7 7 4 5 3 7 2 16 5 6 10 1 6 12 14 6 8 7 9 7 1 2 1 8 5 5 9 21 7 11 6 1 12 10 6 23 10 9 8 4 1 2 3 13 2 14 15 1 1 12 3 9 12 3 13 9 8 1 12 5 2 3 11 7 11 9 3 14 1 2 15 2 10 4 14 20\n",
"30\n2 6 2 3 3 1 4 2 1 3 3 2 1 2 1 8 1 2 4 1 1 1 5 1 4 7 1 9 1 1\n",
"5\n1 1 1 1 1\n",
"2\n1010 1\n",
"9\n1 2 3 1 2 1 4 3 5\n",
"50\n1 1 4 1 1 1 1 1 1 3 1 1 3 2 1 1 1 1 5 2 1 1 1 1 1 3 1 1 1 1 1 1 2 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 2\n",
"9\n1 4 3 1 2 2 4 3 5\n",
"50\n7 1 6 5 15 2 13 7 1 1 4 2 4 3 2 1 11 9 4 2 3 7 1 1 1 14 3 14 5 2 5 4 1 8 2 2 2 2 1 1 4 1 2 3 6 12 1 1 5 1\n",
"100\n10 1 13 1 5 2 5 5 9 10 3 8 4 1 3 5 6 4 1 4 9 8 1 1 1 1 8 2 3 1 1 2 5 1 1 12 6 4 5 3 1 3 18 10 1 2 3 2 6 2 3 15 1 3 5 3 9 7 1 6 11 7 7 8 6 17 11 7 6 1 4 4 1 1 3 1 2 6 7 14 4 4 4 1 11 1 4 2 8 4 2 7 16 12 1 1 2 2 1 2\n",
"3\n4 1 1\n",
"20\n4 6 6 4 5 4 3 2 5 7 2 2 4 1 3 1 1 4 1 7\n",
"6\n3 3 2 2 1 2\n",
"20\n2 10 3 3 2 1 14 13 2 15 1 4 5 12 12 11 9 1 6 8\n",
"30\n1 3 2 5 9 4 16 14 2 2 4 11 7 17 1 15 13 5 6 12 6 19 8 1 20 5 18 4 10 3\n",
"20\n1 1 1 2 3 1 5 9 8 8 4 6 7 3 1 2 2 1 3 4\n",
"30\n2 8 6 3 7 4 2 9 4 3 5 6 1 5 3 5 8 1 9 6 6 7 2 7 1 1 1 10 2 1\n",
"10\n6 1 2 1 3 3 1 2 2 1\n",
"10\n1 2 5 1 1 1 4 1 1 2\n",
"10\n2 2 6 3 1 4 5 3 14 7\n",
"30\n8 7 9 6 2 3 7 1 1 5 7 2 3 1 7 4 5 6 3 9 4 9 4 2 3 1 1 2 4 10\n",
"1\n3\n",
"20\n1 7 2 3 1 1 8 1 6 1 9 11 5 10 1 4 3 3 1 2\n",
"100\n9 6 3 30 10 2 2 11 2 1 25 3 13 5 14 13 4 14 2 16 12 27 8 1 7 9 8 19 33 23 4 1 15 6 7 12 2 8 30 4 1 31 6 1 15 5 18 3 2 24 7 3 1 20 10 8 26 22 3 3 9 6 1 10 1 5 1 3 7 6 11 10 1 16 19 5 9 4 4 4 2 18 12 21 11 5 2 32 17 29 2 4 8 1 7 5 3 2 17 1\n",
"20\n2 7 3 8 4 6 3 7 6 4 15 5 1 12 1 10 2 11 5 9\n",
"10\n2 1 2 1 6 1 5 3 7 1\n",
"4\n7 3 2 1\n",
"2\n1010 2\n",
"50\n7 1 6 5 15 2 13 7 1 1 4 2 4 3 2 1 11 9 5 2 3 7 1 1 1 14 3 14 5 2 5 4 1 8 2 2 2 2 1 1 4 1 2 3 6 12 1 1 5 1\n",
"100\n10 1 13 1 5 2 5 5 9 10 3 8 4 1 3 5 6 4 1 4 9 8 1 1 1 1 8 2 3 1 1 2 5 1 1 12 6 6 5 3 1 3 18 10 1 2 3 2 6 2 3 15 1 3 5 3 9 7 1 6 11 7 7 8 6 17 11 7 6 1 4 4 1 1 3 1 2 6 7 14 4 4 4 1 11 1 4 2 8 4 2 7 16 12 1 1 2 2 1 2\n",
"9\n1 4 3 1 2 1 4 3 5\n",
"20\n4 6 6 4 5 4 3 2 5 7 2 2 4 1 6 1 1 4 1 7\n",
"20\n2 10 3 3 2 1 14 13 2 15 1 4 5 12 12 11 9 1 5 8\n",
"30\n1 3 2 5 9 4 16 14 2 2 4 11 7 17 1 15 13 5 6 12 6 19 8 1 20 5 18 4 2 3\n",
"20\n1 1 1 2 3 1 4 9 8 8 4 6 7 3 1 2 2 1 3 4\n",
"30\n2 8 2 3 7 4 2 9 4 3 5 6 1 5 3 5 8 1 9 6 6 7 2 7 1 1 1 10 2 1\n",
"10\n6 1 3 1 3 3 1 2 2 1\n",
"10\n2 2 6 3 1 4 5 3 10 7\n",
"1\n5\n",
"20\n1 7 2 3 1 1 8 1 6 1 9 11 9 10 1 4 3 3 1 2\n",
"20\n2 7 3 8 4 6 3 7 6 4 15 5 1 12 1 10 2 11 8 9\n",
"2\n1000 2\n",
"50\n7 1 8 5 15 2 13 7 1 1 4 2 4 3 2 1 11 9 5 2 3 7 1 1 1 14 3 14 5 2 5 4 1 8 2 2 2 2 1 1 4 1 2 3 6 12 1 1 5 1\n",
"20\n4 6 6 4 5 4 3 2 5 7 2 2 4 1 11 1 1 4 1 7\n",
"20\n2 10 3 3 2 1 14 13 4 15 1 4 5 12 12 11 9 1 5 8\n",
"30\n1 3 2 5 9 4 16 14 2 2 4 11 7 17 1 15 13 5 6 12 6 19 8 1 20 5 18 3 2 3\n",
"20\n1 1 1 2 3 1 4 9 8 8 1 6 7 3 1 2 2 1 3 4\n",
"30\n2 8 2 3 7 4 2 9 4 3 5 6 1 5 3 10 8 1 9 6 6 7 2 7 1 1 1 10 2 1\n",
"10\n6 1 3 1 4 3 1 2 2 1\n",
"10\n2 2 4 3 1 4 5 3 10 7\n",
"1\n4\n",
"20\n1 7 2 3 1 1 8 1 6 1 9 16 9 10 1 4 3 3 1 2\n",
"20\n2 7 3 8 4 6 3 7 12 4 15 5 1 12 1 10 2 11 8 9\n",
"2\n1000 3\n",
"50\n7 1 8 5 15 2 13 7 1 1 4 2 4 3 2 1 11 9 5 2 3 7 1 1 1 28 3 14 5 2 5 4 1 8 2 2 2 2 1 1 4 1 2 3 6 12 1 1 5 1\n",
"9\n1 8 3 1 2 2 4 3 5\n",
"20\n4 6 6 4 5 4 3 2 5 4 2 2 4 1 11 1 1 4 1 7\n",
"20\n2 10 3 3 2 1 14 13 4 15 1 4 5 12 12 11 18 1 5 8\n",
"20\n1 1 1 2 3 1 4 9 8 1 1 6 7 3 1 2 2 1 3 4\n",
"30\n2 8 2 3 7 4 2 9 4 3 5 6 2 5 3 10 8 1 9 6 6 7 2 7 1 1 1 10 2 1\n",
"10\n6 1 3 2 4 3 1 2 2 1\n",
"10\n3 2 4 3 1 4 5 3 10 7\n",
"1\n6\n",
"20\n2 7 3 8 4 6 3 7 12 4 15 5 1 12 1 10 2 11 8 15\n",
"2\n1000 4\n",
"50\n7 1 8 5 15 2 13 5 1 1 4 2 4 3 2 1 11 9 5 2 3 7 1 1 1 28 3 14 5 2 5 4 1 8 2 2 2 2 1 1 4 1 2 3 6 12 1 1 5 1\n",
"9\n1 2 3 1 2 2 4 3 5\n",
"20\n2 10 3 3 2 1 14 13 4 15 1 1 5 12 12 11 18 1 5 8\n"
],
"output": [
"3\n1 1 1 2 2 3 1 3 1 ",
"1\n1 1 1 1 ",
"-1",
"-1",
"2\n1 2 1 2 1 ",
"20\n1 1 1 2 1 1 3 4 1 1 1 1 2 5 6 7 1 1 1 1 8 1 2 9 2 2 1 10 2 3 3 4 11 2 5 3 12 1 4 3 6 1 5 13 2 3 7 1 1 1 6 1 3 8 2 9 14 2 3 4 1 15 16 4 1 2 5 6 7 3 5 10 4 3 4 6 4 17 8 9 5 5 3 7 8 10 4 4 2 18 11 5 11 19 5 9 20 1 12 7 ",
"-1",
"25\n1 1 1 2 1 1 2 3 1 2 1 1 1 3 2 4 1 2 4 3 2 2 5 6 7 8 3 2 3 9 10 3 5 11 12 1 2 4 6 4 13 5 1 3 14 4 6 5 3 6 7 1 15 8 7 9 3 1 16 4 1 2 3 4 5 1 2 4 6 17 5 6 18 19 10 20 7 7 5 1 7 8 8 21 3 22 9 8 5 10 9 6 1 2 23 24 10 11 25 12 ",
"2\n1 1 2 ",
"1\n1 ",
"3\n1 1 1 2 2 3 1 3 1 ",
"-1",
"2\n1 2 1 2 1 2 ",
"3\n1 1 1 2 2 1 1 1 3 1 2 1 1 1 1 1 1 3 1 1 ",
"3\n1 1 1 1 1 1 1 1 2 3 2 1 1 1 2 1 1 2 1 1 2 1 1 3 1 2 1 3 1 3 ",
"6\n1 2 3 1 1 4 1 1 2 1 1 1 1 2 5 2 3 6 3 2 ",
"-1",
"4\n1 1 1 2 1 2 3 2 3 4 ",
"5\n1 1 1 2 3 4 1 5 1 2 ",
"-1",
"41\n1 2 1 3 4 5 6 7 8 1 9 10 2 1 11 12 13 14 1 2 15 16 17 18 19 3 20 21 22 23 24 25 3 26 27 4 28 29 30 31 32 33 34 35 36 37 38 39 40 41 ",
"-1",
"-1",
"-1",
"7\n1 1 1 1 2 3 1 4 1 5 1 1 1 1 6 1 2 2 7 3 ",
"12\n1 1 1 1 1 1 2 1 3 1 1 2 1 1 1 2 1 2 4 1 1 1 1 2 1 2 2 1 1 1 2 3 1 2 2 2 5 3 1 3 4 1 3 5 2 2 1 3 6 1 3 4 6 1 2 4 1 1 5 6 3 4 7 3 8 3 9 7 4 5 2 4 10 2 2 4 4 4 5 6 7 2 3 1 3 5 8 1 1 1 9 7 5 11 5 6 8 10 2 12 ",
"2\n1 1 1 1 1 1 2 2 2 2 1 1 1 1 2 1 2 1 2 1 ",
"8\n1 1 1 1 2 1 2 1 3 2 3 1 2 4 5 2 1 6 3 2 7 4 1 2 2 3 8 4 3 5 ",
"3\n1 1 2 1 1 2 1 1 1 3 ",
"10\n1 1 1 1 2 1 1 1 1 1 2 1 1 3 2 3 2 1 1 4 2 1 2 1 1 2 5 3 2 3 2 2 4 3 2 2 4 1 1 5 4 4 1 5 3 3 4 5 5 6 2 1 6 3 6 5 2 3 7 1 4 3 6 6 6 4 3 3 5 2 1 7 8 3 4 4 4 5 4 5 7 9 5 7 6 6 4 7 5 6 7 3 10 7 2 8 5 7 4 1 ",
"12\n1 1 2 1 2 1 1 3 2 3 4 4 3 5 4 1 5 6 2 6 7 8 1 9 3 1 10 1 11 12 ",
"5\n1 2 3 4 5 ",
"-1\n",
"3\n1 1 1 2 2 3 1 2 1\n",
"40\n1 2 1 3 4 5 6 7 8 1 9 10 2 1 11 12 13 14 1 2 15 16 17 18 19 3 20 21 22 23 24 25 3 26 27 4 28 29 30 31 32 33 34 35 36 37 38 39 40 5\n",
"2\n1 1 1 2 1 2 2 2 1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n"
]
} | 2CODEFORCES
|
48_D. Permutations_38275 | A permutation is a sequence of integers from 1 to n of length n containing each number exactly once. For example, (1), (4, 3, 5, 1, 2), (3, 2, 1) are permutations, and (1, 1), (4, 3, 1), (2, 3, 4) are not.
There are many tasks on permutations. Today you are going to solve one of them. Let’s imagine that somebody took several permutations (perhaps, with a different number of elements), wrote them down consecutively as one array and then shuffled the resulting array. The task is to restore the initial permutations if it is possible.
Input
The first line contains an integer n (1 ≤ n ≤ 105). The next line contains the mixed array of n integers, divided with a single space. The numbers in the array are from 1 to 105.
Output
If this array can be split into several permutations so that every element of the array belongs to exactly one permutation, print in the first line the number of permutations. The second line should contain n numbers, corresponding to the elements of the given array. If the i-th element belongs to the first permutation, the i-th number should be 1, if it belongs to the second one, then its number should be 2 and so on. The order of the permutations’ numbering is free.
If several solutions are possible, print any one of them. If there’s no solution, print in the first line - 1.
Examples
Input
9
1 2 3 1 2 1 4 2 5
Output
3
3 1 2 1 2 2 2 3 2
Input
4
4 3 2 1
Output
1
1 1 1 1
Input
4
1 2 2 3
Output
-1
Note
In the first sample test the array is split into three permutations: (2, 1), (3, 2, 1, 4, 5), (1, 2). The first permutation is formed by the second and the fourth elements of the array, the second one — by the third, the fifth, the sixth, the seventh and the ninth elements, the third one — by the first and the eigth elements. Clearly, there are other splitting variants possible. | #include <bits/stdc++.h>
using namespace std;
int a[100001], p[100001];
int main() {
int n, i, Max = 0;
scanf("%d", &n);
for (i = 0; i < n; i++) {
scanf("%d", a + i);
p[a[i]]++;
Max = max(Max, a[i]);
}
for (i = 1; i < Max; i++)
if (p[i] < p[i + 1]) {
printf("-1");
return 0;
}
printf("%d\n", p[1]);
for (i = 0; i < n; i++) {
if (i) printf(" ");
printf("%d", p[a[i]]--);
}
return 0;
}
| 2C++
| {
"input": [
"9\n1 2 3 1 2 1 4 2 5\n",
"4\n4 3 2 1\n",
"4\n1 2 2 3\n",
"2\n1000 1\n",
"5\n2 2 1 1 3\n",
"100\n12 18 1 1 14 23 1 1 22 5 7 9 7 1 1 1 3 8 4 2 1 6 9 1 3 2 11 1 11 2 3 2 1 4 2 7 1 16 3 4 2 13 3 1 5 11 2 10 20 24 3 21 5 2 6 2 1 10 10 5 17 1 1 4 19 8 5 5 3 9 4 2 7 8 10 4 9 1 3 3 9 7 6 4 4 3 6 8 12 1 3 6 2 1 8 4 1 15 2 5\n",
"50\n7 1 6 5 15 3 13 7 1 1 4 2 4 3 2 1 11 9 4 2 3 7 1 1 1 14 3 14 5 2 5 4 1 8 2 2 2 2 1 1 4 1 2 3 6 12 1 1 5 1\n",
"100\n10 1 13 1 5 2 5 5 9 10 3 8 4 1 3 5 6 4 1 4 9 8 1 1 1 1 8 2 3 1 1 2 5 1 1 12 6 4 5 3 1 3 18 10 1 2 3 2 6 2 3 15 1 3 5 3 9 7 1 6 11 7 7 8 6 17 11 7 6 1 4 4 1 1 3 1 2 6 7 14 4 4 5 1 11 1 4 2 8 4 2 7 16 12 1 1 2 2 1 2\n",
"3\n2 1 1\n",
"1\n1\n",
"9\n1 2 3 1 2 1 4 2 5\n",
"20\n4 6 6 4 5 4 3 2 5 7 3 2 4 1 3 1 1 4 1 7\n",
"6\n3 3 2 2 1 1\n",
"20\n2 10 3 3 2 1 14 13 2 15 1 4 5 12 7 11 9 1 6 8\n",
"30\n1 3 2 5 9 4 16 14 2 2 4 11 7 17 1 15 13 3 6 12 6 19 8 1 20 5 18 4 10 3\n",
"20\n1 1 1 2 3 1 5 9 5 8 4 6 7 3 1 2 2 1 3 4\n",
"30\n2 8 3 3 7 4 2 9 4 3 5 6 1 5 3 5 8 1 9 6 6 7 2 7 1 1 1 10 2 1\n",
"10\n4 1 2 1 3 3 1 2 2 1\n",
"10\n1 2 5 1 1 1 4 1 3 2\n",
"2\n100000 1\n",
"50\n1 1 4 1 1 1 1 1 1 3 1 1 3 2 1 1 1 1 5 2 1 1 1 1 1 3 1 1 1 1 1 1 2 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1\n",
"10\n2 2 6 3 1 4 5 3 7 7\n",
"30\n8 7 9 6 2 3 7 1 1 5 7 2 3 1 7 4 5 6 3 9 4 9 4 2 3 1 1 2 2 10\n",
"1\n2\n",
"20\n1 7 2 3 1 1 8 1 6 1 9 11 5 10 1 4 2 3 1 2\n",
"100\n9 6 3 28 10 2 2 11 2 1 25 3 13 5 14 13 4 14 2 16 12 27 8 1 7 9 8 19 33 23 4 1 15 6 7 12 2 8 30 4 1 31 6 1 15 5 18 3 2 24 7 3 1 20 10 8 26 22 3 3 9 6 1 10 1 5 1 3 7 6 11 10 1 16 19 5 9 4 4 4 2 18 12 21 11 5 2 32 17 29 2 4 8 1 7 5 3 2 17 1\n",
"20\n2 7 3 8 4 6 3 7 6 4 13 5 1 12 1 10 2 11 5 9\n",
"30\n6 1 2 3 6 4 1 8 1 2 2 5 5 1 1 3 9 1 5 8 1 2 7 7 4 3 1 3 4 2\n",
"10\n2 1 2 4 6 1 5 3 7 1\n",
"100\n2 13 10 4 13 8 22 11 5 3 4 6 19 4 8 8 6 1 16 4 11 17 5 18 7 7 4 5 3 7 2 16 5 6 10 1 6 12 14 6 8 7 9 7 1 2 1 8 5 5 9 21 7 11 6 1 12 10 6 23 10 9 8 4 1 2 3 13 2 14 15 1 1 12 3 9 12 3 13 9 8 1 12 5 2 3 11 7 11 9 3 14 1 2 15 2 10 4 14 20\n",
"30\n2 6 2 3 3 1 4 2 1 3 3 2 1 2 1 8 1 2 4 1 1 1 5 1 4 7 1 9 1 1\n",
"5\n1 1 1 1 1\n",
"2\n1010 1\n",
"9\n1 2 3 1 2 1 4 3 5\n",
"50\n1 1 4 1 1 1 1 1 1 3 1 1 3 2 1 1 1 1 5 2 1 1 1 1 1 3 1 1 1 1 1 1 2 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 2\n",
"9\n1 4 3 1 2 2 4 3 5\n",
"50\n7 1 6 5 15 2 13 7 1 1 4 2 4 3 2 1 11 9 4 2 3 7 1 1 1 14 3 14 5 2 5 4 1 8 2 2 2 2 1 1 4 1 2 3 6 12 1 1 5 1\n",
"100\n10 1 13 1 5 2 5 5 9 10 3 8 4 1 3 5 6 4 1 4 9 8 1 1 1 1 8 2 3 1 1 2 5 1 1 12 6 4 5 3 1 3 18 10 1 2 3 2 6 2 3 15 1 3 5 3 9 7 1 6 11 7 7 8 6 17 11 7 6 1 4 4 1 1 3 1 2 6 7 14 4 4 4 1 11 1 4 2 8 4 2 7 16 12 1 1 2 2 1 2\n",
"3\n4 1 1\n",
"20\n4 6 6 4 5 4 3 2 5 7 2 2 4 1 3 1 1 4 1 7\n",
"6\n3 3 2 2 1 2\n",
"20\n2 10 3 3 2 1 14 13 2 15 1 4 5 12 12 11 9 1 6 8\n",
"30\n1 3 2 5 9 4 16 14 2 2 4 11 7 17 1 15 13 5 6 12 6 19 8 1 20 5 18 4 10 3\n",
"20\n1 1 1 2 3 1 5 9 8 8 4 6 7 3 1 2 2 1 3 4\n",
"30\n2 8 6 3 7 4 2 9 4 3 5 6 1 5 3 5 8 1 9 6 6 7 2 7 1 1 1 10 2 1\n",
"10\n6 1 2 1 3 3 1 2 2 1\n",
"10\n1 2 5 1 1 1 4 1 1 2\n",
"10\n2 2 6 3 1 4 5 3 14 7\n",
"30\n8 7 9 6 2 3 7 1 1 5 7 2 3 1 7 4 5 6 3 9 4 9 4 2 3 1 1 2 4 10\n",
"1\n3\n",
"20\n1 7 2 3 1 1 8 1 6 1 9 11 5 10 1 4 3 3 1 2\n",
"100\n9 6 3 30 10 2 2 11 2 1 25 3 13 5 14 13 4 14 2 16 12 27 8 1 7 9 8 19 33 23 4 1 15 6 7 12 2 8 30 4 1 31 6 1 15 5 18 3 2 24 7 3 1 20 10 8 26 22 3 3 9 6 1 10 1 5 1 3 7 6 11 10 1 16 19 5 9 4 4 4 2 18 12 21 11 5 2 32 17 29 2 4 8 1 7 5 3 2 17 1\n",
"20\n2 7 3 8 4 6 3 7 6 4 15 5 1 12 1 10 2 11 5 9\n",
"10\n2 1 2 1 6 1 5 3 7 1\n",
"4\n7 3 2 1\n",
"2\n1010 2\n",
"50\n7 1 6 5 15 2 13 7 1 1 4 2 4 3 2 1 11 9 5 2 3 7 1 1 1 14 3 14 5 2 5 4 1 8 2 2 2 2 1 1 4 1 2 3 6 12 1 1 5 1\n",
"100\n10 1 13 1 5 2 5 5 9 10 3 8 4 1 3 5 6 4 1 4 9 8 1 1 1 1 8 2 3 1 1 2 5 1 1 12 6 6 5 3 1 3 18 10 1 2 3 2 6 2 3 15 1 3 5 3 9 7 1 6 11 7 7 8 6 17 11 7 6 1 4 4 1 1 3 1 2 6 7 14 4 4 4 1 11 1 4 2 8 4 2 7 16 12 1 1 2 2 1 2\n",
"9\n1 4 3 1 2 1 4 3 5\n",
"20\n4 6 6 4 5 4 3 2 5 7 2 2 4 1 6 1 1 4 1 7\n",
"20\n2 10 3 3 2 1 14 13 2 15 1 4 5 12 12 11 9 1 5 8\n",
"30\n1 3 2 5 9 4 16 14 2 2 4 11 7 17 1 15 13 5 6 12 6 19 8 1 20 5 18 4 2 3\n",
"20\n1 1 1 2 3 1 4 9 8 8 4 6 7 3 1 2 2 1 3 4\n",
"30\n2 8 2 3 7 4 2 9 4 3 5 6 1 5 3 5 8 1 9 6 6 7 2 7 1 1 1 10 2 1\n",
"10\n6 1 3 1 3 3 1 2 2 1\n",
"10\n2 2 6 3 1 4 5 3 10 7\n",
"1\n5\n",
"20\n1 7 2 3 1 1 8 1 6 1 9 11 9 10 1 4 3 3 1 2\n",
"20\n2 7 3 8 4 6 3 7 6 4 15 5 1 12 1 10 2 11 8 9\n",
"2\n1000 2\n",
"50\n7 1 8 5 15 2 13 7 1 1 4 2 4 3 2 1 11 9 5 2 3 7 1 1 1 14 3 14 5 2 5 4 1 8 2 2 2 2 1 1 4 1 2 3 6 12 1 1 5 1\n",
"20\n4 6 6 4 5 4 3 2 5 7 2 2 4 1 11 1 1 4 1 7\n",
"20\n2 10 3 3 2 1 14 13 4 15 1 4 5 12 12 11 9 1 5 8\n",
"30\n1 3 2 5 9 4 16 14 2 2 4 11 7 17 1 15 13 5 6 12 6 19 8 1 20 5 18 3 2 3\n",
"20\n1 1 1 2 3 1 4 9 8 8 1 6 7 3 1 2 2 1 3 4\n",
"30\n2 8 2 3 7 4 2 9 4 3 5 6 1 5 3 10 8 1 9 6 6 7 2 7 1 1 1 10 2 1\n",
"10\n6 1 3 1 4 3 1 2 2 1\n",
"10\n2 2 4 3 1 4 5 3 10 7\n",
"1\n4\n",
"20\n1 7 2 3 1 1 8 1 6 1 9 16 9 10 1 4 3 3 1 2\n",
"20\n2 7 3 8 4 6 3 7 12 4 15 5 1 12 1 10 2 11 8 9\n",
"2\n1000 3\n",
"50\n7 1 8 5 15 2 13 7 1 1 4 2 4 3 2 1 11 9 5 2 3 7 1 1 1 28 3 14 5 2 5 4 1 8 2 2 2 2 1 1 4 1 2 3 6 12 1 1 5 1\n",
"9\n1 8 3 1 2 2 4 3 5\n",
"20\n4 6 6 4 5 4 3 2 5 4 2 2 4 1 11 1 1 4 1 7\n",
"20\n2 10 3 3 2 1 14 13 4 15 1 4 5 12 12 11 18 1 5 8\n",
"20\n1 1 1 2 3 1 4 9 8 1 1 6 7 3 1 2 2 1 3 4\n",
"30\n2 8 2 3 7 4 2 9 4 3 5 6 2 5 3 10 8 1 9 6 6 7 2 7 1 1 1 10 2 1\n",
"10\n6 1 3 2 4 3 1 2 2 1\n",
"10\n3 2 4 3 1 4 5 3 10 7\n",
"1\n6\n",
"20\n2 7 3 8 4 6 3 7 12 4 15 5 1 12 1 10 2 11 8 15\n",
"2\n1000 4\n",
"50\n7 1 8 5 15 2 13 5 1 1 4 2 4 3 2 1 11 9 5 2 3 7 1 1 1 28 3 14 5 2 5 4 1 8 2 2 2 2 1 1 4 1 2 3 6 12 1 1 5 1\n",
"9\n1 2 3 1 2 2 4 3 5\n",
"20\n2 10 3 3 2 1 14 13 4 15 1 1 5 12 12 11 18 1 5 8\n"
],
"output": [
"3\n1 1 1 2 2 3 1 3 1 ",
"1\n1 1 1 1 ",
"-1",
"-1",
"2\n1 2 1 2 1 ",
"20\n1 1 1 2 1 1 3 4 1 1 1 1 2 5 6 7 1 1 1 1 8 1 2 9 2 2 1 10 2 3 3 4 11 2 5 3 12 1 4 3 6 1 5 13 2 3 7 1 1 1 6 1 3 8 2 9 14 2 3 4 1 15 16 4 1 2 5 6 7 3 5 10 4 3 4 6 4 17 8 9 5 5 3 7 8 10 4 4 2 18 11 5 11 19 5 9 20 1 12 7 ",
"-1",
"25\n1 1 1 2 1 1 2 3 1 2 1 1 1 3 2 4 1 2 4 3 2 2 5 6 7 8 3 2 3 9 10 3 5 11 12 1 2 4 6 4 13 5 1 3 14 4 6 5 3 6 7 1 15 8 7 9 3 1 16 4 1 2 3 4 5 1 2 4 6 17 5 6 18 19 10 20 7 7 5 1 7 8 8 21 3 22 9 8 5 10 9 6 1 2 23 24 10 11 25 12 ",
"2\n1 1 2 ",
"1\n1 ",
"3\n1 1 1 2 2 3 1 3 1 ",
"-1",
"2\n1 2 1 2 1 2 ",
"3\n1 1 1 2 2 1 1 1 3 1 2 1 1 1 1 1 1 3 1 1 ",
"3\n1 1 1 1 1 1 1 1 2 3 2 1 1 1 2 1 1 2 1 1 2 1 1 3 1 2 1 3 1 3 ",
"6\n1 2 3 1 1 4 1 1 2 1 1 1 1 2 5 2 3 6 3 2 ",
"-1",
"4\n1 1 1 2 1 2 3 2 3 4 ",
"5\n1 1 1 2 3 4 1 5 1 2 ",
"-1",
"41\n1 2 1 3 4 5 6 7 8 1 9 10 2 1 11 12 13 14 1 2 15 16 17 18 19 3 20 21 22 23 24 25 3 26 27 4 28 29 30 31 32 33 34 35 36 37 38 39 40 41 ",
"-1",
"-1",
"-1",
"7\n1 1 1 1 2 3 1 4 1 5 1 1 1 1 6 1 2 2 7 3 ",
"12\n1 1 1 1 1 1 2 1 3 1 1 2 1 1 1 2 1 2 4 1 1 1 1 2 1 2 2 1 1 1 2 3 1 2 2 2 5 3 1 3 4 1 3 5 2 2 1 3 6 1 3 4 6 1 2 4 1 1 5 6 3 4 7 3 8 3 9 7 4 5 2 4 10 2 2 4 4 4 5 6 7 2 3 1 3 5 8 1 1 1 9 7 5 11 5 6 8 10 2 12 ",
"2\n1 1 1 1 1 1 2 2 2 2 1 1 1 1 2 1 2 1 2 1 ",
"8\n1 1 1 1 2 1 2 1 3 2 3 1 2 4 5 2 1 6 3 2 7 4 1 2 2 3 8 4 3 5 ",
"3\n1 1 2 1 1 2 1 1 1 3 ",
"10\n1 1 1 1 2 1 1 1 1 1 2 1 1 3 2 3 2 1 1 4 2 1 2 1 1 2 5 3 2 3 2 2 4 3 2 2 4 1 1 5 4 4 1 5 3 3 4 5 5 6 2 1 6 3 6 5 2 3 7 1 4 3 6 6 6 4 3 3 5 2 1 7 8 3 4 4 4 5 4 5 7 9 5 7 6 6 4 7 5 6 7 3 10 7 2 8 5 7 4 1 ",
"12\n1 1 2 1 2 1 1 3 2 3 4 4 3 5 4 1 5 6 2 6 7 8 1 9 3 1 10 1 11 12 ",
"5\n1 2 3 4 5 ",
"-1\n",
"3\n1 1 1 2 2 3 1 2 1\n",
"40\n1 2 1 3 4 5 6 7 8 1 9 10 2 1 11 12 13 14 1 2 15 16 17 18 19 3 20 21 22 23 24 25 3 26 27 4 28 29 30 31 32 33 34 35 36 37 38 39 40 5\n",
"2\n1 1 1 2 1 2 2 2 1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n"
]
} | 2CODEFORCES
|
48_D. Permutations_38276 | A permutation is a sequence of integers from 1 to n of length n containing each number exactly once. For example, (1), (4, 3, 5, 1, 2), (3, 2, 1) are permutations, and (1, 1), (4, 3, 1), (2, 3, 4) are not.
There are many tasks on permutations. Today you are going to solve one of them. Let’s imagine that somebody took several permutations (perhaps, with a different number of elements), wrote them down consecutively as one array and then shuffled the resulting array. The task is to restore the initial permutations if it is possible.
Input
The first line contains an integer n (1 ≤ n ≤ 105). The next line contains the mixed array of n integers, divided with a single space. The numbers in the array are from 1 to 105.
Output
If this array can be split into several permutations so that every element of the array belongs to exactly one permutation, print in the first line the number of permutations. The second line should contain n numbers, corresponding to the elements of the given array. If the i-th element belongs to the first permutation, the i-th number should be 1, if it belongs to the second one, then its number should be 2 and so on. The order of the permutations’ numbering is free.
If several solutions are possible, print any one of them. If there’s no solution, print in the first line - 1.
Examples
Input
9
1 2 3 1 2 1 4 2 5
Output
3
3 1 2 1 2 2 2 3 2
Input
4
4 3 2 1
Output
1
1 1 1 1
Input
4
1 2 2 3
Output
-1
Note
In the first sample test the array is split into three permutations: (2, 1), (3, 2, 1, 4, 5), (1, 2). The first permutation is formed by the second and the fourth elements of the array, the second one — by the third, the fifth, the sixth, the seventh and the ninth elements, the third one — by the first and the eigth elements. Clearly, there are other splitting variants possible. | def fail():
print(-1)
import sys
sys.exit()
n = int(input())
count = (n + 1) * [ 0 ]
assign = n * [ None ]
for i, x in enumerate(map(int, input().split())):
if x > n:
fail()
count[x] += 1
assign[i] = count[x]
for i in range(2, n):
if count[i - 1] < count[i]:
fail()
print(count[1])
print(' '.join(map(str, assign)))
| 3Python3
| {
"input": [
"9\n1 2 3 1 2 1 4 2 5\n",
"4\n4 3 2 1\n",
"4\n1 2 2 3\n",
"2\n1000 1\n",
"5\n2 2 1 1 3\n",
"100\n12 18 1 1 14 23 1 1 22 5 7 9 7 1 1 1 3 8 4 2 1 6 9 1 3 2 11 1 11 2 3 2 1 4 2 7 1 16 3 4 2 13 3 1 5 11 2 10 20 24 3 21 5 2 6 2 1 10 10 5 17 1 1 4 19 8 5 5 3 9 4 2 7 8 10 4 9 1 3 3 9 7 6 4 4 3 6 8 12 1 3 6 2 1 8 4 1 15 2 5\n",
"50\n7 1 6 5 15 3 13 7 1 1 4 2 4 3 2 1 11 9 4 2 3 7 1 1 1 14 3 14 5 2 5 4 1 8 2 2 2 2 1 1 4 1 2 3 6 12 1 1 5 1\n",
"100\n10 1 13 1 5 2 5 5 9 10 3 8 4 1 3 5 6 4 1 4 9 8 1 1 1 1 8 2 3 1 1 2 5 1 1 12 6 4 5 3 1 3 18 10 1 2 3 2 6 2 3 15 1 3 5 3 9 7 1 6 11 7 7 8 6 17 11 7 6 1 4 4 1 1 3 1 2 6 7 14 4 4 5 1 11 1 4 2 8 4 2 7 16 12 1 1 2 2 1 2\n",
"3\n2 1 1\n",
"1\n1\n",
"9\n1 2 3 1 2 1 4 2 5\n",
"20\n4 6 6 4 5 4 3 2 5 7 3 2 4 1 3 1 1 4 1 7\n",
"6\n3 3 2 2 1 1\n",
"20\n2 10 3 3 2 1 14 13 2 15 1 4 5 12 7 11 9 1 6 8\n",
"30\n1 3 2 5 9 4 16 14 2 2 4 11 7 17 1 15 13 3 6 12 6 19 8 1 20 5 18 4 10 3\n",
"20\n1 1 1 2 3 1 5 9 5 8 4 6 7 3 1 2 2 1 3 4\n",
"30\n2 8 3 3 7 4 2 9 4 3 5 6 1 5 3 5 8 1 9 6 6 7 2 7 1 1 1 10 2 1\n",
"10\n4 1 2 1 3 3 1 2 2 1\n",
"10\n1 2 5 1 1 1 4 1 3 2\n",
"2\n100000 1\n",
"50\n1 1 4 1 1 1 1 1 1 3 1 1 3 2 1 1 1 1 5 2 1 1 1 1 1 3 1 1 1 1 1 1 2 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1\n",
"10\n2 2 6 3 1 4 5 3 7 7\n",
"30\n8 7 9 6 2 3 7 1 1 5 7 2 3 1 7 4 5 6 3 9 4 9 4 2 3 1 1 2 2 10\n",
"1\n2\n",
"20\n1 7 2 3 1 1 8 1 6 1 9 11 5 10 1 4 2 3 1 2\n",
"100\n9 6 3 28 10 2 2 11 2 1 25 3 13 5 14 13 4 14 2 16 12 27 8 1 7 9 8 19 33 23 4 1 15 6 7 12 2 8 30 4 1 31 6 1 15 5 18 3 2 24 7 3 1 20 10 8 26 22 3 3 9 6 1 10 1 5 1 3 7 6 11 10 1 16 19 5 9 4 4 4 2 18 12 21 11 5 2 32 17 29 2 4 8 1 7 5 3 2 17 1\n",
"20\n2 7 3 8 4 6 3 7 6 4 13 5 1 12 1 10 2 11 5 9\n",
"30\n6 1 2 3 6 4 1 8 1 2 2 5 5 1 1 3 9 1 5 8 1 2 7 7 4 3 1 3 4 2\n",
"10\n2 1 2 4 6 1 5 3 7 1\n",
"100\n2 13 10 4 13 8 22 11 5 3 4 6 19 4 8 8 6 1 16 4 11 17 5 18 7 7 4 5 3 7 2 16 5 6 10 1 6 12 14 6 8 7 9 7 1 2 1 8 5 5 9 21 7 11 6 1 12 10 6 23 10 9 8 4 1 2 3 13 2 14 15 1 1 12 3 9 12 3 13 9 8 1 12 5 2 3 11 7 11 9 3 14 1 2 15 2 10 4 14 20\n",
"30\n2 6 2 3 3 1 4 2 1 3 3 2 1 2 1 8 1 2 4 1 1 1 5 1 4 7 1 9 1 1\n",
"5\n1 1 1 1 1\n",
"2\n1010 1\n",
"9\n1 2 3 1 2 1 4 3 5\n",
"50\n1 1 4 1 1 1 1 1 1 3 1 1 3 2 1 1 1 1 5 2 1 1 1 1 1 3 1 1 1 1 1 1 2 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 2\n",
"9\n1 4 3 1 2 2 4 3 5\n",
"50\n7 1 6 5 15 2 13 7 1 1 4 2 4 3 2 1 11 9 4 2 3 7 1 1 1 14 3 14 5 2 5 4 1 8 2 2 2 2 1 1 4 1 2 3 6 12 1 1 5 1\n",
"100\n10 1 13 1 5 2 5 5 9 10 3 8 4 1 3 5 6 4 1 4 9 8 1 1 1 1 8 2 3 1 1 2 5 1 1 12 6 4 5 3 1 3 18 10 1 2 3 2 6 2 3 15 1 3 5 3 9 7 1 6 11 7 7 8 6 17 11 7 6 1 4 4 1 1 3 1 2 6 7 14 4 4 4 1 11 1 4 2 8 4 2 7 16 12 1 1 2 2 1 2\n",
"3\n4 1 1\n",
"20\n4 6 6 4 5 4 3 2 5 7 2 2 4 1 3 1 1 4 1 7\n",
"6\n3 3 2 2 1 2\n",
"20\n2 10 3 3 2 1 14 13 2 15 1 4 5 12 12 11 9 1 6 8\n",
"30\n1 3 2 5 9 4 16 14 2 2 4 11 7 17 1 15 13 5 6 12 6 19 8 1 20 5 18 4 10 3\n",
"20\n1 1 1 2 3 1 5 9 8 8 4 6 7 3 1 2 2 1 3 4\n",
"30\n2 8 6 3 7 4 2 9 4 3 5 6 1 5 3 5 8 1 9 6 6 7 2 7 1 1 1 10 2 1\n",
"10\n6 1 2 1 3 3 1 2 2 1\n",
"10\n1 2 5 1 1 1 4 1 1 2\n",
"10\n2 2 6 3 1 4 5 3 14 7\n",
"30\n8 7 9 6 2 3 7 1 1 5 7 2 3 1 7 4 5 6 3 9 4 9 4 2 3 1 1 2 4 10\n",
"1\n3\n",
"20\n1 7 2 3 1 1 8 1 6 1 9 11 5 10 1 4 3 3 1 2\n",
"100\n9 6 3 30 10 2 2 11 2 1 25 3 13 5 14 13 4 14 2 16 12 27 8 1 7 9 8 19 33 23 4 1 15 6 7 12 2 8 30 4 1 31 6 1 15 5 18 3 2 24 7 3 1 20 10 8 26 22 3 3 9 6 1 10 1 5 1 3 7 6 11 10 1 16 19 5 9 4 4 4 2 18 12 21 11 5 2 32 17 29 2 4 8 1 7 5 3 2 17 1\n",
"20\n2 7 3 8 4 6 3 7 6 4 15 5 1 12 1 10 2 11 5 9\n",
"10\n2 1 2 1 6 1 5 3 7 1\n",
"4\n7 3 2 1\n",
"2\n1010 2\n",
"50\n7 1 6 5 15 2 13 7 1 1 4 2 4 3 2 1 11 9 5 2 3 7 1 1 1 14 3 14 5 2 5 4 1 8 2 2 2 2 1 1 4 1 2 3 6 12 1 1 5 1\n",
"100\n10 1 13 1 5 2 5 5 9 10 3 8 4 1 3 5 6 4 1 4 9 8 1 1 1 1 8 2 3 1 1 2 5 1 1 12 6 6 5 3 1 3 18 10 1 2 3 2 6 2 3 15 1 3 5 3 9 7 1 6 11 7 7 8 6 17 11 7 6 1 4 4 1 1 3 1 2 6 7 14 4 4 4 1 11 1 4 2 8 4 2 7 16 12 1 1 2 2 1 2\n",
"9\n1 4 3 1 2 1 4 3 5\n",
"20\n4 6 6 4 5 4 3 2 5 7 2 2 4 1 6 1 1 4 1 7\n",
"20\n2 10 3 3 2 1 14 13 2 15 1 4 5 12 12 11 9 1 5 8\n",
"30\n1 3 2 5 9 4 16 14 2 2 4 11 7 17 1 15 13 5 6 12 6 19 8 1 20 5 18 4 2 3\n",
"20\n1 1 1 2 3 1 4 9 8 8 4 6 7 3 1 2 2 1 3 4\n",
"30\n2 8 2 3 7 4 2 9 4 3 5 6 1 5 3 5 8 1 9 6 6 7 2 7 1 1 1 10 2 1\n",
"10\n6 1 3 1 3 3 1 2 2 1\n",
"10\n2 2 6 3 1 4 5 3 10 7\n",
"1\n5\n",
"20\n1 7 2 3 1 1 8 1 6 1 9 11 9 10 1 4 3 3 1 2\n",
"20\n2 7 3 8 4 6 3 7 6 4 15 5 1 12 1 10 2 11 8 9\n",
"2\n1000 2\n",
"50\n7 1 8 5 15 2 13 7 1 1 4 2 4 3 2 1 11 9 5 2 3 7 1 1 1 14 3 14 5 2 5 4 1 8 2 2 2 2 1 1 4 1 2 3 6 12 1 1 5 1\n",
"20\n4 6 6 4 5 4 3 2 5 7 2 2 4 1 11 1 1 4 1 7\n",
"20\n2 10 3 3 2 1 14 13 4 15 1 4 5 12 12 11 9 1 5 8\n",
"30\n1 3 2 5 9 4 16 14 2 2 4 11 7 17 1 15 13 5 6 12 6 19 8 1 20 5 18 3 2 3\n",
"20\n1 1 1 2 3 1 4 9 8 8 1 6 7 3 1 2 2 1 3 4\n",
"30\n2 8 2 3 7 4 2 9 4 3 5 6 1 5 3 10 8 1 9 6 6 7 2 7 1 1 1 10 2 1\n",
"10\n6 1 3 1 4 3 1 2 2 1\n",
"10\n2 2 4 3 1 4 5 3 10 7\n",
"1\n4\n",
"20\n1 7 2 3 1 1 8 1 6 1 9 16 9 10 1 4 3 3 1 2\n",
"20\n2 7 3 8 4 6 3 7 12 4 15 5 1 12 1 10 2 11 8 9\n",
"2\n1000 3\n",
"50\n7 1 8 5 15 2 13 7 1 1 4 2 4 3 2 1 11 9 5 2 3 7 1 1 1 28 3 14 5 2 5 4 1 8 2 2 2 2 1 1 4 1 2 3 6 12 1 1 5 1\n",
"9\n1 8 3 1 2 2 4 3 5\n",
"20\n4 6 6 4 5 4 3 2 5 4 2 2 4 1 11 1 1 4 1 7\n",
"20\n2 10 3 3 2 1 14 13 4 15 1 4 5 12 12 11 18 1 5 8\n",
"20\n1 1 1 2 3 1 4 9 8 1 1 6 7 3 1 2 2 1 3 4\n",
"30\n2 8 2 3 7 4 2 9 4 3 5 6 2 5 3 10 8 1 9 6 6 7 2 7 1 1 1 10 2 1\n",
"10\n6 1 3 2 4 3 1 2 2 1\n",
"10\n3 2 4 3 1 4 5 3 10 7\n",
"1\n6\n",
"20\n2 7 3 8 4 6 3 7 12 4 15 5 1 12 1 10 2 11 8 15\n",
"2\n1000 4\n",
"50\n7 1 8 5 15 2 13 5 1 1 4 2 4 3 2 1 11 9 5 2 3 7 1 1 1 28 3 14 5 2 5 4 1 8 2 2 2 2 1 1 4 1 2 3 6 12 1 1 5 1\n",
"9\n1 2 3 1 2 2 4 3 5\n",
"20\n2 10 3 3 2 1 14 13 4 15 1 1 5 12 12 11 18 1 5 8\n"
],
"output": [
"3\n1 1 1 2 2 3 1 3 1 ",
"1\n1 1 1 1 ",
"-1",
"-1",
"2\n1 2 1 2 1 ",
"20\n1 1 1 2 1 1 3 4 1 1 1 1 2 5 6 7 1 1 1 1 8 1 2 9 2 2 1 10 2 3 3 4 11 2 5 3 12 1 4 3 6 1 5 13 2 3 7 1 1 1 6 1 3 8 2 9 14 2 3 4 1 15 16 4 1 2 5 6 7 3 5 10 4 3 4 6 4 17 8 9 5 5 3 7 8 10 4 4 2 18 11 5 11 19 5 9 20 1 12 7 ",
"-1",
"25\n1 1 1 2 1 1 2 3 1 2 1 1 1 3 2 4 1 2 4 3 2 2 5 6 7 8 3 2 3 9 10 3 5 11 12 1 2 4 6 4 13 5 1 3 14 4 6 5 3 6 7 1 15 8 7 9 3 1 16 4 1 2 3 4 5 1 2 4 6 17 5 6 18 19 10 20 7 7 5 1 7 8 8 21 3 22 9 8 5 10 9 6 1 2 23 24 10 11 25 12 ",
"2\n1 1 2 ",
"1\n1 ",
"3\n1 1 1 2 2 3 1 3 1 ",
"-1",
"2\n1 2 1 2 1 2 ",
"3\n1 1 1 2 2 1 1 1 3 1 2 1 1 1 1 1 1 3 1 1 ",
"3\n1 1 1 1 1 1 1 1 2 3 2 1 1 1 2 1 1 2 1 1 2 1 1 3 1 2 1 3 1 3 ",
"6\n1 2 3 1 1 4 1 1 2 1 1 1 1 2 5 2 3 6 3 2 ",
"-1",
"4\n1 1 1 2 1 2 3 2 3 4 ",
"5\n1 1 1 2 3 4 1 5 1 2 ",
"-1",
"41\n1 2 1 3 4 5 6 7 8 1 9 10 2 1 11 12 13 14 1 2 15 16 17 18 19 3 20 21 22 23 24 25 3 26 27 4 28 29 30 31 32 33 34 35 36 37 38 39 40 41 ",
"-1",
"-1",
"-1",
"7\n1 1 1 1 2 3 1 4 1 5 1 1 1 1 6 1 2 2 7 3 ",
"12\n1 1 1 1 1 1 2 1 3 1 1 2 1 1 1 2 1 2 4 1 1 1 1 2 1 2 2 1 1 1 2 3 1 2 2 2 5 3 1 3 4 1 3 5 2 2 1 3 6 1 3 4 6 1 2 4 1 1 5 6 3 4 7 3 8 3 9 7 4 5 2 4 10 2 2 4 4 4 5 6 7 2 3 1 3 5 8 1 1 1 9 7 5 11 5 6 8 10 2 12 ",
"2\n1 1 1 1 1 1 2 2 2 2 1 1 1 1 2 1 2 1 2 1 ",
"8\n1 1 1 1 2 1 2 1 3 2 3 1 2 4 5 2 1 6 3 2 7 4 1 2 2 3 8 4 3 5 ",
"3\n1 1 2 1 1 2 1 1 1 3 ",
"10\n1 1 1 1 2 1 1 1 1 1 2 1 1 3 2 3 2 1 1 4 2 1 2 1 1 2 5 3 2 3 2 2 4 3 2 2 4 1 1 5 4 4 1 5 3 3 4 5 5 6 2 1 6 3 6 5 2 3 7 1 4 3 6 6 6 4 3 3 5 2 1 7 8 3 4 4 4 5 4 5 7 9 5 7 6 6 4 7 5 6 7 3 10 7 2 8 5 7 4 1 ",
"12\n1 1 2 1 2 1 1 3 2 3 4 4 3 5 4 1 5 6 2 6 7 8 1 9 3 1 10 1 11 12 ",
"5\n1 2 3 4 5 ",
"-1\n",
"3\n1 1 1 2 2 3 1 2 1\n",
"40\n1 2 1 3 4 5 6 7 8 1 9 10 2 1 11 12 13 14 1 2 15 16 17 18 19 3 20 21 22 23 24 25 3 26 27 4 28 29 30 31 32 33 34 35 36 37 38 39 40 5\n",
"2\n1 1 1 2 1 2 2 2 1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n"
]
} | 2CODEFORCES
|
48_D. Permutations_38277 | A permutation is a sequence of integers from 1 to n of length n containing each number exactly once. For example, (1), (4, 3, 5, 1, 2), (3, 2, 1) are permutations, and (1, 1), (4, 3, 1), (2, 3, 4) are not.
There are many tasks on permutations. Today you are going to solve one of them. Let’s imagine that somebody took several permutations (perhaps, with a different number of elements), wrote them down consecutively as one array and then shuffled the resulting array. The task is to restore the initial permutations if it is possible.
Input
The first line contains an integer n (1 ≤ n ≤ 105). The next line contains the mixed array of n integers, divided with a single space. The numbers in the array are from 1 to 105.
Output
If this array can be split into several permutations so that every element of the array belongs to exactly one permutation, print in the first line the number of permutations. The second line should contain n numbers, corresponding to the elements of the given array. If the i-th element belongs to the first permutation, the i-th number should be 1, if it belongs to the second one, then its number should be 2 and so on. The order of the permutations’ numbering is free.
If several solutions are possible, print any one of them. If there’s no solution, print in the first line - 1.
Examples
Input
9
1 2 3 1 2 1 4 2 5
Output
3
3 1 2 1 2 2 2 3 2
Input
4
4 3 2 1
Output
1
1 1 1 1
Input
4
1 2 2 3
Output
-1
Note
In the first sample test the array is split into three permutations: (2, 1), (3, 2, 1, 4, 5), (1, 2). The first permutation is formed by the second and the fourth elements of the array, the second one — by the third, the fifth, the sixth, the seventh and the ninth elements, the third one — by the first and the eigth elements. Clearly, there are other splitting variants possible. | import java.util.*;
public class D {
public static void main(String[] args) {
Scanner sc = new Scanner(System.in);
int n = sc.nextInt();
int[] ns = new int[n];
for (int i=0; i<n; i++) ns[i] = sc.nextInt()-1;
for (int x : ns) if (x>=n) {System.out.println("-1"); return;}
int[] count = new int[n];
for (int x : ns) count[x]++;
for (int i=0; i<n-1; i++) {
if (count[i]<count[i+1]) {
System.out.println("-1");
return;
}
}
System.out.println(count[0]);
ArrayList<Stack<Integer>> ls = new ArrayList<Stack<Integer>>();
for (int i=0; i<n; i++) {
Stack<Integer> st = new Stack<Integer>();
ls.add(st);
}
for (int i=0; i<n; i++) ls.get(ns[i]).push(i);
int[] res = new int[n];
int ctr = 1;
while (count[0] > 0) {
for (int i=0; i<n; i++) {
int tmp = ls.get(i).pop();
res[tmp] = ctr;
count[i]--;
if (i==n-1 || count[i]+1 != count[i+1]) break;
}
ctr++;
}
for (int x : res) System.out.print(x+" ");
System.out.println();
}
}
| 4JAVA
| {
"input": [
"9\n1 2 3 1 2 1 4 2 5\n",
"4\n4 3 2 1\n",
"4\n1 2 2 3\n",
"2\n1000 1\n",
"5\n2 2 1 1 3\n",
"100\n12 18 1 1 14 23 1 1 22 5 7 9 7 1 1 1 3 8 4 2 1 6 9 1 3 2 11 1 11 2 3 2 1 4 2 7 1 16 3 4 2 13 3 1 5 11 2 10 20 24 3 21 5 2 6 2 1 10 10 5 17 1 1 4 19 8 5 5 3 9 4 2 7 8 10 4 9 1 3 3 9 7 6 4 4 3 6 8 12 1 3 6 2 1 8 4 1 15 2 5\n",
"50\n7 1 6 5 15 3 13 7 1 1 4 2 4 3 2 1 11 9 4 2 3 7 1 1 1 14 3 14 5 2 5 4 1 8 2 2 2 2 1 1 4 1 2 3 6 12 1 1 5 1\n",
"100\n10 1 13 1 5 2 5 5 9 10 3 8 4 1 3 5 6 4 1 4 9 8 1 1 1 1 8 2 3 1 1 2 5 1 1 12 6 4 5 3 1 3 18 10 1 2 3 2 6 2 3 15 1 3 5 3 9 7 1 6 11 7 7 8 6 17 11 7 6 1 4 4 1 1 3 1 2 6 7 14 4 4 5 1 11 1 4 2 8 4 2 7 16 12 1 1 2 2 1 2\n",
"3\n2 1 1\n",
"1\n1\n",
"9\n1 2 3 1 2 1 4 2 5\n",
"20\n4 6 6 4 5 4 3 2 5 7 3 2 4 1 3 1 1 4 1 7\n",
"6\n3 3 2 2 1 1\n",
"20\n2 10 3 3 2 1 14 13 2 15 1 4 5 12 7 11 9 1 6 8\n",
"30\n1 3 2 5 9 4 16 14 2 2 4 11 7 17 1 15 13 3 6 12 6 19 8 1 20 5 18 4 10 3\n",
"20\n1 1 1 2 3 1 5 9 5 8 4 6 7 3 1 2 2 1 3 4\n",
"30\n2 8 3 3 7 4 2 9 4 3 5 6 1 5 3 5 8 1 9 6 6 7 2 7 1 1 1 10 2 1\n",
"10\n4 1 2 1 3 3 1 2 2 1\n",
"10\n1 2 5 1 1 1 4 1 3 2\n",
"2\n100000 1\n",
"50\n1 1 4 1 1 1 1 1 1 3 1 1 3 2 1 1 1 1 5 2 1 1 1 1 1 3 1 1 1 1 1 1 2 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1\n",
"10\n2 2 6 3 1 4 5 3 7 7\n",
"30\n8 7 9 6 2 3 7 1 1 5 7 2 3 1 7 4 5 6 3 9 4 9 4 2 3 1 1 2 2 10\n",
"1\n2\n",
"20\n1 7 2 3 1 1 8 1 6 1 9 11 5 10 1 4 2 3 1 2\n",
"100\n9 6 3 28 10 2 2 11 2 1 25 3 13 5 14 13 4 14 2 16 12 27 8 1 7 9 8 19 33 23 4 1 15 6 7 12 2 8 30 4 1 31 6 1 15 5 18 3 2 24 7 3 1 20 10 8 26 22 3 3 9 6 1 10 1 5 1 3 7 6 11 10 1 16 19 5 9 4 4 4 2 18 12 21 11 5 2 32 17 29 2 4 8 1 7 5 3 2 17 1\n",
"20\n2 7 3 8 4 6 3 7 6 4 13 5 1 12 1 10 2 11 5 9\n",
"30\n6 1 2 3 6 4 1 8 1 2 2 5 5 1 1 3 9 1 5 8 1 2 7 7 4 3 1 3 4 2\n",
"10\n2 1 2 4 6 1 5 3 7 1\n",
"100\n2 13 10 4 13 8 22 11 5 3 4 6 19 4 8 8 6 1 16 4 11 17 5 18 7 7 4 5 3 7 2 16 5 6 10 1 6 12 14 6 8 7 9 7 1 2 1 8 5 5 9 21 7 11 6 1 12 10 6 23 10 9 8 4 1 2 3 13 2 14 15 1 1 12 3 9 12 3 13 9 8 1 12 5 2 3 11 7 11 9 3 14 1 2 15 2 10 4 14 20\n",
"30\n2 6 2 3 3 1 4 2 1 3 3 2 1 2 1 8 1 2 4 1 1 1 5 1 4 7 1 9 1 1\n",
"5\n1 1 1 1 1\n",
"2\n1010 1\n",
"9\n1 2 3 1 2 1 4 3 5\n",
"50\n1 1 4 1 1 1 1 1 1 3 1 1 3 2 1 1 1 1 5 2 1 1 1 1 1 3 1 1 1 1 1 1 2 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 2\n",
"9\n1 4 3 1 2 2 4 3 5\n",
"50\n7 1 6 5 15 2 13 7 1 1 4 2 4 3 2 1 11 9 4 2 3 7 1 1 1 14 3 14 5 2 5 4 1 8 2 2 2 2 1 1 4 1 2 3 6 12 1 1 5 1\n",
"100\n10 1 13 1 5 2 5 5 9 10 3 8 4 1 3 5 6 4 1 4 9 8 1 1 1 1 8 2 3 1 1 2 5 1 1 12 6 4 5 3 1 3 18 10 1 2 3 2 6 2 3 15 1 3 5 3 9 7 1 6 11 7 7 8 6 17 11 7 6 1 4 4 1 1 3 1 2 6 7 14 4 4 4 1 11 1 4 2 8 4 2 7 16 12 1 1 2 2 1 2\n",
"3\n4 1 1\n",
"20\n4 6 6 4 5 4 3 2 5 7 2 2 4 1 3 1 1 4 1 7\n",
"6\n3 3 2 2 1 2\n",
"20\n2 10 3 3 2 1 14 13 2 15 1 4 5 12 12 11 9 1 6 8\n",
"30\n1 3 2 5 9 4 16 14 2 2 4 11 7 17 1 15 13 5 6 12 6 19 8 1 20 5 18 4 10 3\n",
"20\n1 1 1 2 3 1 5 9 8 8 4 6 7 3 1 2 2 1 3 4\n",
"30\n2 8 6 3 7 4 2 9 4 3 5 6 1 5 3 5 8 1 9 6 6 7 2 7 1 1 1 10 2 1\n",
"10\n6 1 2 1 3 3 1 2 2 1\n",
"10\n1 2 5 1 1 1 4 1 1 2\n",
"10\n2 2 6 3 1 4 5 3 14 7\n",
"30\n8 7 9 6 2 3 7 1 1 5 7 2 3 1 7 4 5 6 3 9 4 9 4 2 3 1 1 2 4 10\n",
"1\n3\n",
"20\n1 7 2 3 1 1 8 1 6 1 9 11 5 10 1 4 3 3 1 2\n",
"100\n9 6 3 30 10 2 2 11 2 1 25 3 13 5 14 13 4 14 2 16 12 27 8 1 7 9 8 19 33 23 4 1 15 6 7 12 2 8 30 4 1 31 6 1 15 5 18 3 2 24 7 3 1 20 10 8 26 22 3 3 9 6 1 10 1 5 1 3 7 6 11 10 1 16 19 5 9 4 4 4 2 18 12 21 11 5 2 32 17 29 2 4 8 1 7 5 3 2 17 1\n",
"20\n2 7 3 8 4 6 3 7 6 4 15 5 1 12 1 10 2 11 5 9\n",
"10\n2 1 2 1 6 1 5 3 7 1\n",
"4\n7 3 2 1\n",
"2\n1010 2\n",
"50\n7 1 6 5 15 2 13 7 1 1 4 2 4 3 2 1 11 9 5 2 3 7 1 1 1 14 3 14 5 2 5 4 1 8 2 2 2 2 1 1 4 1 2 3 6 12 1 1 5 1\n",
"100\n10 1 13 1 5 2 5 5 9 10 3 8 4 1 3 5 6 4 1 4 9 8 1 1 1 1 8 2 3 1 1 2 5 1 1 12 6 6 5 3 1 3 18 10 1 2 3 2 6 2 3 15 1 3 5 3 9 7 1 6 11 7 7 8 6 17 11 7 6 1 4 4 1 1 3 1 2 6 7 14 4 4 4 1 11 1 4 2 8 4 2 7 16 12 1 1 2 2 1 2\n",
"9\n1 4 3 1 2 1 4 3 5\n",
"20\n4 6 6 4 5 4 3 2 5 7 2 2 4 1 6 1 1 4 1 7\n",
"20\n2 10 3 3 2 1 14 13 2 15 1 4 5 12 12 11 9 1 5 8\n",
"30\n1 3 2 5 9 4 16 14 2 2 4 11 7 17 1 15 13 5 6 12 6 19 8 1 20 5 18 4 2 3\n",
"20\n1 1 1 2 3 1 4 9 8 8 4 6 7 3 1 2 2 1 3 4\n",
"30\n2 8 2 3 7 4 2 9 4 3 5 6 1 5 3 5 8 1 9 6 6 7 2 7 1 1 1 10 2 1\n",
"10\n6 1 3 1 3 3 1 2 2 1\n",
"10\n2 2 6 3 1 4 5 3 10 7\n",
"1\n5\n",
"20\n1 7 2 3 1 1 8 1 6 1 9 11 9 10 1 4 3 3 1 2\n",
"20\n2 7 3 8 4 6 3 7 6 4 15 5 1 12 1 10 2 11 8 9\n",
"2\n1000 2\n",
"50\n7 1 8 5 15 2 13 7 1 1 4 2 4 3 2 1 11 9 5 2 3 7 1 1 1 14 3 14 5 2 5 4 1 8 2 2 2 2 1 1 4 1 2 3 6 12 1 1 5 1\n",
"20\n4 6 6 4 5 4 3 2 5 7 2 2 4 1 11 1 1 4 1 7\n",
"20\n2 10 3 3 2 1 14 13 4 15 1 4 5 12 12 11 9 1 5 8\n",
"30\n1 3 2 5 9 4 16 14 2 2 4 11 7 17 1 15 13 5 6 12 6 19 8 1 20 5 18 3 2 3\n",
"20\n1 1 1 2 3 1 4 9 8 8 1 6 7 3 1 2 2 1 3 4\n",
"30\n2 8 2 3 7 4 2 9 4 3 5 6 1 5 3 10 8 1 9 6 6 7 2 7 1 1 1 10 2 1\n",
"10\n6 1 3 1 4 3 1 2 2 1\n",
"10\n2 2 4 3 1 4 5 3 10 7\n",
"1\n4\n",
"20\n1 7 2 3 1 1 8 1 6 1 9 16 9 10 1 4 3 3 1 2\n",
"20\n2 7 3 8 4 6 3 7 12 4 15 5 1 12 1 10 2 11 8 9\n",
"2\n1000 3\n",
"50\n7 1 8 5 15 2 13 7 1 1 4 2 4 3 2 1 11 9 5 2 3 7 1 1 1 28 3 14 5 2 5 4 1 8 2 2 2 2 1 1 4 1 2 3 6 12 1 1 5 1\n",
"9\n1 8 3 1 2 2 4 3 5\n",
"20\n4 6 6 4 5 4 3 2 5 4 2 2 4 1 11 1 1 4 1 7\n",
"20\n2 10 3 3 2 1 14 13 4 15 1 4 5 12 12 11 18 1 5 8\n",
"20\n1 1 1 2 3 1 4 9 8 1 1 6 7 3 1 2 2 1 3 4\n",
"30\n2 8 2 3 7 4 2 9 4 3 5 6 2 5 3 10 8 1 9 6 6 7 2 7 1 1 1 10 2 1\n",
"10\n6 1 3 2 4 3 1 2 2 1\n",
"10\n3 2 4 3 1 4 5 3 10 7\n",
"1\n6\n",
"20\n2 7 3 8 4 6 3 7 12 4 15 5 1 12 1 10 2 11 8 15\n",
"2\n1000 4\n",
"50\n7 1 8 5 15 2 13 5 1 1 4 2 4 3 2 1 11 9 5 2 3 7 1 1 1 28 3 14 5 2 5 4 1 8 2 2 2 2 1 1 4 1 2 3 6 12 1 1 5 1\n",
"9\n1 2 3 1 2 2 4 3 5\n",
"20\n2 10 3 3 2 1 14 13 4 15 1 1 5 12 12 11 18 1 5 8\n"
],
"output": [
"3\n1 1 1 2 2 3 1 3 1 ",
"1\n1 1 1 1 ",
"-1",
"-1",
"2\n1 2 1 2 1 ",
"20\n1 1 1 2 1 1 3 4 1 1 1 1 2 5 6 7 1 1 1 1 8 1 2 9 2 2 1 10 2 3 3 4 11 2 5 3 12 1 4 3 6 1 5 13 2 3 7 1 1 1 6 1 3 8 2 9 14 2 3 4 1 15 16 4 1 2 5 6 7 3 5 10 4 3 4 6 4 17 8 9 5 5 3 7 8 10 4 4 2 18 11 5 11 19 5 9 20 1 12 7 ",
"-1",
"25\n1 1 1 2 1 1 2 3 1 2 1 1 1 3 2 4 1 2 4 3 2 2 5 6 7 8 3 2 3 9 10 3 5 11 12 1 2 4 6 4 13 5 1 3 14 4 6 5 3 6 7 1 15 8 7 9 3 1 16 4 1 2 3 4 5 1 2 4 6 17 5 6 18 19 10 20 7 7 5 1 7 8 8 21 3 22 9 8 5 10 9 6 1 2 23 24 10 11 25 12 ",
"2\n1 1 2 ",
"1\n1 ",
"3\n1 1 1 2 2 3 1 3 1 ",
"-1",
"2\n1 2 1 2 1 2 ",
"3\n1 1 1 2 2 1 1 1 3 1 2 1 1 1 1 1 1 3 1 1 ",
"3\n1 1 1 1 1 1 1 1 2 3 2 1 1 1 2 1 1 2 1 1 2 1 1 3 1 2 1 3 1 3 ",
"6\n1 2 3 1 1 4 1 1 2 1 1 1 1 2 5 2 3 6 3 2 ",
"-1",
"4\n1 1 1 2 1 2 3 2 3 4 ",
"5\n1 1 1 2 3 4 1 5 1 2 ",
"-1",
"41\n1 2 1 3 4 5 6 7 8 1 9 10 2 1 11 12 13 14 1 2 15 16 17 18 19 3 20 21 22 23 24 25 3 26 27 4 28 29 30 31 32 33 34 35 36 37 38 39 40 41 ",
"-1",
"-1",
"-1",
"7\n1 1 1 1 2 3 1 4 1 5 1 1 1 1 6 1 2 2 7 3 ",
"12\n1 1 1 1 1 1 2 1 3 1 1 2 1 1 1 2 1 2 4 1 1 1 1 2 1 2 2 1 1 1 2 3 1 2 2 2 5 3 1 3 4 1 3 5 2 2 1 3 6 1 3 4 6 1 2 4 1 1 5 6 3 4 7 3 8 3 9 7 4 5 2 4 10 2 2 4 4 4 5 6 7 2 3 1 3 5 8 1 1 1 9 7 5 11 5 6 8 10 2 12 ",
"2\n1 1 1 1 1 1 2 2 2 2 1 1 1 1 2 1 2 1 2 1 ",
"8\n1 1 1 1 2 1 2 1 3 2 3 1 2 4 5 2 1 6 3 2 7 4 1 2 2 3 8 4 3 5 ",
"3\n1 1 2 1 1 2 1 1 1 3 ",
"10\n1 1 1 1 2 1 1 1 1 1 2 1 1 3 2 3 2 1 1 4 2 1 2 1 1 2 5 3 2 3 2 2 4 3 2 2 4 1 1 5 4 4 1 5 3 3 4 5 5 6 2 1 6 3 6 5 2 3 7 1 4 3 6 6 6 4 3 3 5 2 1 7 8 3 4 4 4 5 4 5 7 9 5 7 6 6 4 7 5 6 7 3 10 7 2 8 5 7 4 1 ",
"12\n1 1 2 1 2 1 1 3 2 3 4 4 3 5 4 1 5 6 2 6 7 8 1 9 3 1 10 1 11 12 ",
"5\n1 2 3 4 5 ",
"-1\n",
"3\n1 1 1 2 2 3 1 2 1\n",
"40\n1 2 1 3 4 5 6 7 8 1 9 10 2 1 11 12 13 14 1 2 15 16 17 18 19 3 20 21 22 23 24 25 3 26 27 4 28 29 30 31 32 33 34 35 36 37 38 39 40 5\n",
"2\n1 1 1 2 1 2 2 2 1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n"
]
} | 2CODEFORCES
|
513_F1. Scaygerboss_38278 | Cthulhu decided to catch Scaygerboss. Scaygerboss found it out and is trying to hide in a pack of his scaygers. Each scayger except Scaygerboss is either a male or a female. Scaygerboss's gender is "other".
Scaygers are scattered on a two-dimensional map divided into cells. A scayger looks nerdy and loveable if it is staying in the same cell with exactly one scayger of a gender that is different from its own gender. Cthulhu will not be able to catch Scaygerboss if all the scaygers on the map look nerdy and loveable.
The scaygers can move around at different speeds. For each scayger, we are given the time it takes this scayger to move from a cell to an adjacent cell. Cells are adjacent if they share a common side. At any point of time, each cell that does not contain an obstacle can be occupied by an arbitrary number of scaygers. Scaygers cannot move to cells with obstacles.
Calculate minimal time in order to make all scaygers look nerdy and loveable if they move optimally toward this goal.
Input
The first line contains 4 integers: n, m, males, females (0 ≤ males, females ≤ n·m). n and m are dimensions of the map; males and females are numbers of male scaygers and female scaygers.
Next n lines describe the map. Each of these lines contains m characters. Character '.' stands for a free cell; character '#' stands for a cell with an obstacle.
The next line contains 3 integers r, c, and t (1 ≤ r ≤ n, 1 ≤ c ≤ m, 1 ≤ t ≤ 109): the current coordinates of Scaygerboss and the time it takes Scaygerboss to move to an adjacent cell. The next males lines contain coordinates and times of male scaygers in the same format as for Scaygerboss. The next females lines contain coordinates and times of female scaygers in the same format as for Scaygerboss. (The coordinates and times adhere to the same limits as for Scaygerboss.) All scaygers reside in cells without obstacles.
The problem consists of two subproblems. The subproblems have different constraints on the input. You will get some score for the correct submission of the subproblem. The description of the subproblems follows.
* In subproblem F1 (14 points), the constraints 1 ≤ n, m ≤ 11 will hold.
* In subproblem F2 (6 points), the constraints 1 ≤ n, m ≤ 22 will hold.
Output
Output the minimum possible time it takes to make all scaygers look nerdy and loveable or -1 if it is impossible.
Examples
Input
4 4 2 3
....
.###
####
####
2 1 1
2 1 2
2 1 2
2 1 2
2 1 2
1 1 2
Output
2
Input
2 4 2 2
....
.###
2 1 1
2 1 2
2 1 2
2 1 2
2 1 2
Output
-1
Note
Consider the first sample test. The scaygers are hiding on a 4 by 4 map. Scaygerboss initially resides in the cell (2, 1) and can move between cells in 1 unit of time. There are also 2 male and 3 female scaygers on the map. One of the females initially is in the cell (1, 1), and all the other scaygers are in the cell (2, 1). All the scaygers move between cells in 2 units of time. If Scaygerboss and the female scayger from the cell (1, 1) move to the cell (1, 2), and a male and a female scayger from those residing in the cell (2, 1) move to the cell (1, 1), then all the scaygers will look nerdy and lovable in 2 units of time. | #include <bits/stdc++.h>
using namespace std;
template <class P, class Q>
inline void smin(P &a, Q b) {
if (b < a) a = b;
}
template <class P, class Q>
inline void smax(P &a, Q b) {
if (a < b) a = b;
}
const long long inf = 1LL << 20;
const int maxn = 22 + 2;
int n, m, males, females;
int N;
char s[maxn][maxn];
long long dis[maxn * maxn][maxn * maxn];
vector<int> e;
vector<pair<int, int> > p, q;
pair<int, int> read() {
int r, c, t;
cin >> r >> c >> t;
r--, c--;
return {r * m + c, t};
}
template <class FlowT>
struct MaxFlow {
static const int maxn = 10000;
static const int maxm = 2000000;
static const FlowT FlowEPS = FlowT(1e-7);
static const FlowT FlowINF = FlowT(1 << 29);
int n, m;
int to[2 * maxm], prv[2 * maxm], hed[maxn];
FlowT cap[2 * maxm];
int dis[maxn], pos[maxn];
void init(int _n) {
n = _n, m = 0;
memset(hed, -1, n * sizeof hed[0]);
}
inline void add_edge(int x, int y, FlowT c) {
to[m] = y, cap[m] = c, prv[m] = hed[x], hed[x] = m++;
to[m] = x, cap[m] = 0, prv[m] = hed[y], hed[y] = m++;
}
bool bfs(int source, int sink) {
static int que[maxn], head, tail;
memset(dis, -1, n * sizeof dis[0]);
head = tail = 0;
dis[source] = 0;
que[tail++] = source;
while (head < tail) {
int u = que[head++];
for (int e = hed[u]; e != -1; e = prv[e])
if (cap[e] > FlowEPS && dis[to[e]] == -1)
dis[to[e]] = dis[u] + 1, que[tail++] = to[e];
if (dis[sink] != -1) break;
}
return dis[sink] != -1;
}
FlowT dfs(int u, int sink, FlowT add = FlowINF) {
if (u == sink) return add;
FlowT res = 0;
for (int &e = pos[u]; e != -1; e = prv[e])
if (cap[e] > FlowEPS && dis[to[e]] == dis[u] + 1) {
FlowT cur = dfs(to[e], sink, min(add, cap[e]));
cap[e] -= cur, cap[e ^ 1] += cur, add -= cur, res += cur;
if (add <= FlowEPS / 2) break;
}
return res;
}
FlowT getflow(int source, int sink) {
FlowT flow = 0;
while (bfs(source, sink)) {
memcpy(pos, hed, n * sizeof hed[0]);
flow += dfs(source, sink);
}
return flow;
}
};
MaxFlow<int> g;
int main() {
ios_base::sync_with_stdio(false);
cin.tie(0);
cin >> n >> m >> males >> females;
if (abs(males - females) != 1) {
cout << -1 << endl;
return 0;
}
int N = n * m;
for (int i = 0, _n = (int)(n); i < _n; i++) cin >> s[i];
for (int i = 0, _n = (int)(N); i < _n; i++)
for (int j = 0, _n = (int)(N); j < _n; j++) dis[i][j] = inf;
for (int i = 0, _n = (int)(N); i < _n; i++) dis[i][i] = 0;
for (int i = 0, _n = (int)(n); i < _n; i++)
for (int j = 0, _n = (int)(m); j < _n; j++)
if (s[i][j] == '.')
for (int ii = 0, _n = (int)(n); ii < _n; ii++)
for (int jj = 0, _n = (int)(m); jj < _n; jj++)
if (s[ii][jj] == '.')
if (abs(i - ii) + abs(j - jj) == 1)
dis[i * m + j][ii * m + jj] = 1;
for (int k = 0, _n = (int)(N); k < _n; k++)
if (s[k / m][k % m] == '.')
for (int i = 0, _n = (int)(N); i < _n; i++)
for (int j = 0, _n = (int)(N); j < _n; j++)
smin(dis[i][j], dis[i][k] + dis[k][j]);
(males < females ? p : q).push_back(read());
for (int i = 0, _n = (int)(males); i < _n; i++) p.push_back(read());
for (int i = 0, _n = (int)(females); i < _n; i++) q.push_back(read());
smax(males, females);
smax(females, males);
long long lo = -1, hi = (1LL << 30) * maxn * maxn;
int add = 2 * N;
int tot = 2 + add + males + females;
int src = tot - 2;
int snk = tot - 1;
while (hi - lo > 1) {
long long md = (lo + hi) / 2;
g.init(tot);
for (int i = 0, _n = (int)(males); i < _n; i++) g.add_edge(src, add + i, 1);
for (int i = 0, _n = (int)(females); i < _n; i++)
g.add_edge(add + males + i, snk, 1);
for (int i = 0, _n = (int)(N); i < _n; i++)
if (s[i / m][i % m] == '.') {
g.add_edge(2 * i + 0, 2 * i + 1, 1);
for (int j = 0, _n = (int)(males); j < _n; j++)
if (dis[p[j].first][i] != inf &&
dis[p[j].first][i] * p[j].second <= md)
g.add_edge(add + j, 2 * i + 0, 1);
for (int j = 0, _n = (int)(females); j < _n; j++)
if (dis[q[j].first][i] != inf &&
dis[q[j].first][i] * q[j].second <= md)
g.add_edge(2 * i + 1, add + males + j, 1);
}
if (g.getflow(src, snk) == males)
hi = md;
else
lo = md;
}
cout << (hi < (1LL << 30) * maxn * maxn ? hi : -1) << endl;
return 0;
}
| 2C++
| {
"input": [
"4 4 2 3\n....\n.###\n####\n####\n2 1 1\n2 1 2\n2 1 2\n2 1 2\n2 1 2\n1 1 2\n",
"2 4 2 2\n....\n.###\n2 1 1\n2 1 2\n2 1 2\n2 1 2\n2 1 2\n",
"3 8 11 12\n.......#\n.#......\n....#...\n1 2 10\n2 3 6\n2 4 2\n1 6 1\n1 5 6\n1 1 5\n3 3 1\n2 4 4\n1 6 5\n2 3 6\n3 4 5\n3 1 4\n1 3 5\n1 3 2\n1 2 3\n3 2 9\n1 2 6\n3 2 9\n1 1 1\n1 6 6\n3 3 7\n3 8 2\n3 7 7\n3 2 7\n",
"1 4 2 3\n..#.\n1 1 1\n1 1 1\n1 1 1\n1 1 1\n1 1 1\n1 1 1\n",
"1 1 0 1\n.\n1 1 1\n1 1 1\n",
"1 1 0 0\n.\n1 1 1\n",
"2 2 2 2\n#.\n#.\n1 2 1\n1 2 1\n1 2 1\n1 2 1\n1 2 1\n",
"11 3 27 26\n#..\n...\n...\n..#\n...\n#..\n...\n...\n#.#\n...\n..#\n6 3 52\n2 1 67\n6 3 39\n3 1 72\n1 2 48\n7 2 19\n5 1 88\n7 3 14\n6 3 92\n10 2 28\n4 1 39\n4 2 89\n7 2 24\n2 3 30\n3 3 14\n5 2 58\n2 1 62\n9 2 84\n7 3 71\n2 2 43\n3 2 60\n8 3 85\n5 1 66\n10 3 25\n2 1 77\n5 1 59\n6 3 55\n1 3 82\n7 1 92\n3 1 51\n10 2 99\n5 2 98\n1 2 94\n5 2 67\n7 3 68\n8 2 98\n4 2 52\n4 1 5\n10 3 10\n7 1 75\n1 3 75\n6 3 29\n1 3 22\n2 1 80\n10 3 45\n10 1 97\n3 3 16\n10 3 28\n2 1 54\n5 1 52\n2 1 93\n1 2 6\n5 3 31\n4 1 51\n",
"1 1 1 1\n.\n1 1 1\n1 1 1\n1 1 1\n",
"2 4 3 2\n..##\n.#..\n1 1 1\n1 1 1\n1 1 6\n1 1 2\n1 1 1\n1 1 1\n",
"3 7 2 1\n.......\n##.###.\n.#.#...\n1 2 18\n1 1 5\n1 5 4\n1 1 3\n",
"10 4 8 7\n....\n....\n.#..\n..#.\n....\n..#.\n....\n....\n#...\n.#..\n10 4 6490061\n10 1 2368373\n6 1 4838037\n2 3 5242359\n6 1 7207294\n8 1 1523877\n1 3 3021571\n9 2 7078661\n2 4 4676928\n2 4 4340654\n3 3 3197429\n1 4 5961413\n2 1 8385413\n3 3 8111099\n5 1 3374292\n3 4 5877110\n",
"3 8 7 6\n#...#..#\n.#..#...\n##......\n1 2 1\n1 2 6\n1 2 1\n1 2 6\n1 2 5\n1 2 4\n1 2 2\n1 2 6\n1 2 1\n1 2 1\n1 2 1\n1 2 1\n1 2 1\n1 2 1\n",
"3 5 2 3\n.....\n.#..#\n..#..\n3 2 9\n1 1 4\n1 1 5\n1 1 3\n1 1 8\n1 1 1\n",
"8 2 7 6\n..\n..\n..\n..\n##\n..\n..\n..\n8 1 1\n2 1 29\n2 1 17\n6 1 23\n3 2 31\n8 1 11\n1 1 35\n6 1 6\n6 2 19\n2 1 35\n3 1 8\n6 2 22\n2 2 10\n7 2 4\n",
"2 4 0 1\n..#.\n#...\n1 1 1\n1 1 1\n",
"11 3 6 7\n#..\n..#\n...\n.#.\n.#.\n...\n.#.\n...\n#..\n...\n...\n2 2 28804\n6 1 64238\n5 1 30616\n1 3 71599\n11 3 95320\n10 1 62618\n7 3 57203\n10 2 17784\n9 3 66137\n8 1 14209\n4 1 36353\n10 2 83190\n1 2 74281\n7 3 99012\n",
"1 7 0 1\n.#...#.\n1 7 2\n1 5 38\n",
"11 3 7 6\n.#.\n.#.\n#.#\n..#\n..#\n.##\n...\n#..\n#..\n#..\n..#\n7 2 39\n11 1 36\n3 2 46\n10 3 32\n2 3 9\n9 2 25\n8 2 6\n9 3 42\n5 1 8\n6 1 46\n8 3 30\n11 2 9\n9 3 15\n7 3 10\n",
"9 1 1 2\n#\n.\n#\n.\n#\n.\n#\n#\n#\n2 1 1\n2 1 1\n2 1 1\n2 1 1\n",
"4 5 6 5\n###.#\n..#.#\n##.##\n.#.#.\n1 4 1\n1 4 1\n1 4 1\n1 4 1\n1 4 1\n1 4 1\n1 4 1\n1 4 1\n1 4 1\n1 4 1\n1 4 1\n1 4 1\n",
"1 5 3 4\n....#\n1 1 25580419\n1 1 39486821\n1 3 66774093\n1 2 20222751\n1 4 32289521\n1 1 59196438\n1 1 89276611\n1 3 13003016\n",
"11 3 5 4\n#..\n...\n...\n.#.\n...\n...\n.#.\n#..\n#.#\n...\n#..\n2 1 109\n2 1 968\n2 3 437\n5 1 871\n10 3 627\n3 3 276\n8 3 716\n5 3 360\n7 3 298\n2 3 854\n",
"5 2 1 2\n.#\n#.\n#.\n..\n..\n4 2 18\n2 2 6\n1 1 9\n1 1 1\n",
"1 1 1 0\n.\n1 1 1\n1 1 1\n",
"11 4 12 13\n....\n#...\n##..\n..#.\n..#.\n#..#\n....\n.#..\n..#.\n...#\n....\n8 3 27137967\n5 2 52208017\n7 2 95379591\n7 3 11879420\n9 4 29407882\n5 2 7071580\n1 3 8504812\n10 1 33257194\n8 4 82791652\n7 1 80459645\n1 1 16192359\n6 2 94008980\n5 2 3860746\n8 4 10851893\n2 4 44095907\n8 3 12633672\n1 4 25738305\n9 2 41359425\n10 1 59169017\n9 2 46914536\n10 2 89418619\n8 3 82884375\n9 1 77807875\n11 3 273549\n7 1 13087744\n8 4 65583976\n",
"6 6 6 7\n.##.#.\n......\n.#....\n.##...\n##....\n......\n2 4 578\n2 4 298\n3 4 259\n2 5 340\n2 6 410\n6 3 689\n3 6 532\n5 6 583\n3 3 452\n3 5 352\n1 1 652\n3 3 676\n2 5 856\n6 3 437\n",
"11 3 7 6\n#.#\n.#.\n...\n.#.\n...\n...\n...\n...\n...\n#..\n...\n9 3 9761\n5 3 8278\n6 1 1207\n2 3 5513\n11 2 5635\n8 3 8748\n6 1 5577\n10 3 9888\n11 1 5305\n3 1 2581\n10 2 2002\n6 2 5363\n1 2 9482\n11 2 1916\n",
"4 9 24 25\n#.#..##.#\n..#.....#\n.........\n...#....#\n1 2 1\n1 2 1\n1 2 1\n1 2 1\n1 2 1\n1 2 1\n1 2 1\n1 2 1\n1 2 1\n1 2 1\n1 2 1\n1 2 1\n1 2 1\n1 2 1\n1 2 1\n1 2 1\n1 2 1\n1 2 1\n1 2 1\n1 2 1\n1 2 1\n1 2 1\n1 2 1\n1 2 1\n1 2 1\n1 2 1\n1 2 1\n1 2 1\n1 2 1\n1 2 1\n1 2 1\n1 2 1\n1 2 1\n1 2 1\n1 2 1\n1 2 1\n1 2 1\n1 2 1\n1 2 1\n1 2 1\n1 2 1\n1 2 1\n1 2 1\n1 2 1\n1 2 1\n1 2 1\n1 2 1\n1 2 1\n1 2 1\n1 2 1\n",
"11 3 2 3\n##.\n...\n...\n###\n...\n...\n#..\n#.#\n...\n...\n..#\n8 2 661958\n9 1 1203895\n7 3 8521440\n2 3 5289370\n10 3 2621134\n10 2 1356668\n",
"11 3 16 17\n##.\n...\n#..\n#.#\n.#.\n#.#\n##.\n.#.\n#..\n...\n...\n8 3 652152\n4 2 244109\n11 3 728772\n3 2 747117\n10 2 50431\n8 3 169907\n11 2 700407\n5 1 734584\n10 3 631278\n3 2 721179\n3 2 300396\n2 2 124321\n11 1 875885\n2 2 345097\n11 3 707909\n3 3 235243\n10 1 685428\n2 1 840691\n10 1 686915\n10 1 641321\n8 3 897518\n3 3 398387\n8 3 201470\n1 3 855687\n2 2 295565\n5 1 286481\n6 2 970677\n6 2 758042\n10 1 357072\n3 2 69413\n7 3 302725\n9 3 953381\n11 3 772841\n4 2 809549\n",
"11 3 18 17\n...\n.##\n###\n...\n...\n..#\n#..\n...\n.#.\n#..\n.#.\n5 3 29\n6 2 32\n6 1 5\n1 3 35\n1 3 22\n4 2 12\n8 3 13\n5 3 10\n8 1 1\n5 1 31\n10 2 10\n4 2 28\n11 1 33\n7 3 5\n1 3 10\n11 1 9\n9 1 1\n1 2 34\n4 1 15\n1 2 2\n10 3 4\n4 2 31\n1 3 12\n4 3 5\n2 1 27\n11 3 11\n10 2 5\n5 1 16\n1 2 20\n1 1 22\n4 1 30\n7 3 27\n9 3 14\n5 1 4\n8 3 36\n8 1 11\n",
"5 9 9 10\n...#.###.\n.#...#...\n.........\n##.#.....\n..#.#.#..\n1 1 1\n1 1 1\n1 1 1\n1 1 1\n1 1 1\n1 1 1\n1 1 1\n1 1 1\n1 1 1\n1 1 1\n1 1 1\n1 1 1\n1 1 1\n1 1 1\n1 1 1\n1 1 1\n1 1 1\n1 1 1\n1 1 1\n1 1 1\n",
"8 6 16 17\n.....#\n#.....\n.....#\n....#.\n.#....\n......\n##.#..\n###..#\n4 2 13\n1 1 4\n1 1 6\n1 1 2\n1 1 4\n1 1 1\n1 1 3\n1 1 3\n1 1 1\n1 1 1\n1 1 5\n1 1 1\n1 1 5\n1 1 4\n1 1 2\n1 1 4\n1 1 1\n1 1 1\n1 1 5\n1 1 1\n1 1 5\n1 1 3\n1 1 9\n1 1 9\n1 1 7\n1 1 5\n1 1 2\n1 1 6\n1 1 4\n1 1 5\n1 1 7\n1 1 9\n1 1 5\n1 1 6\n",
"5 9 20 21\n.#....#..\n#.....##.\n.........\n#.#....##\n.....##..\n5 5 1300\n4 4 962\n4 2 5023\n5 1 8096\n3 9 5450\n5 3 578\n2 6 5514\n2 3 4132\n3 9 218\n4 4 6258\n1 1 5632\n4 4 4029\n5 4 6537\n3 2 1811\n1 4 3348\n2 6 5661\n5 4 9296\n4 2 8561\n5 1 9825\n2 2 8636\n4 6 7807\n4 6 9383\n3 9 8208\n4 6 6620\n3 1 5035\n2 2 1340\n1 4 7264\n5 2 1834\n5 4 939\n1 1 7008\n3 7 658\n1 4 3856\n1 4 5116\n5 4 4785\n5 1 5240\n5 9 7007\n5 1 5843\n2 5 3180\n4 5 9252\n4 4 9797\n1 4 7933\n3 4 409\n",
"11 4 12 13\n....\n....\n#.#.\n#...\n#.##\n....\n.##.\n.##.\n..#.\n#...\n....\n2 1 446432975\n2 3 173843014\n6 1 186110315\n6 4 794470337\n4 3 196372638\n4 4 335681214\n2 2 305259303\n7 1 338980316\n11 4 325177694\n6 2 575998129\n6 3 14138019\n11 3 836898584\n7 1 80563812\n6 3 760512697\n1 2 753693791\n2 2 848576557\n10 2 20103301\n9 1 848596447\n2 2 182404810\n7 1 302365714\n10 2 669197789\n11 1 481049799\n10 4 522941950\n2 4 589467774\n11 2 31269275\n2 2 586747251\n",
"7 6 13 12\n....#.\n.#..#.\n......\n.#..#.\n##.#..\n.#....\n...##.\n4 1 114284349\n3 6 282341668\n1 4 620724918\n7 3 816533621\n1 4 854555480\n1 3 145286183\n1 3 28053027\n4 4 758748702\n6 3 991252479\n3 4 158095840\n5 5 826712412\n5 5 414741212\n6 3 399210171\n1 4 771463333\n2 6 237703393\n3 3 362525228\n6 4 206121714\n2 1 410514462\n5 6 8623519\n2 1 960250392\n2 6 778598906\n5 3 302674788\n3 3 11109054\n3 6 446840299\n1 4 247809134\n2 4 351662632\n",
"3 5 7 6\n.#...\n..##.\n#....\n1 1 82\n1 1 95\n3 2 44\n1 4 80\n3 3 79\n1 3 68\n1 4 73\n1 5 32\n3 5 96\n3 5 18\n2 5 59\n2 2 12\n2 5 88\n2 5 15\n",
"5 6 4 5\n......\n.##.#.\n##.#..\n.#....\n......\n3 5 372023\n2 6 598933\n1 1 428223\n2 4 787199\n4 5 178414\n4 6 377189\n5 5 749030\n1 5 405353\n5 2 547680\n1 4 137987\n",
"7 6 9 10\n....#.\n######\n##...#\n##.###\n....#.\n####.#\n.#####\n1 1 1\n1 1 1\n1 1 1\n1 1 1\n1 1 1\n1 1 1\n1 1 1\n1 1 1\n1 1 1\n1 1 1\n1 1 1\n1 1 1\n1 1 1\n1 1 1\n1 1 1\n1 1 1\n1 1 1\n1 1 1\n1 1 1\n1 1 1\n",
"6 2 4 4\n.#\n..\n#.\n#.\n.#\n.#\n1 1 1\n1 1 1\n1 1 1\n1 1 1\n1 1 1\n1 1 1\n1 1 1\n1 1 1\n1 1 1\n",
"2 2 2 2\n#.\n#.\n1 2 1\n1 2 1\n1 2 1\n1 2 1\n2 2 1\n",
"3 5 2 3\n.....\n#...#\n..#..\n3 2 9\n1 1 4\n1 1 5\n1 1 3\n1 1 8\n1 1 1\n",
"1 5 3 4\n....#\n1 1 25580419\n1 1 39486821\n1 3 121000423\n1 2 20222751\n1 4 32289521\n1 1 59196438\n1 1 89276611\n1 3 13003016\n",
"11 4 12 13\n....\n..#.\n##..\n..#.\n..#.\n#..#\n....\n.#..\n..#.\n...#\n....\n8 3 27137967\n5 2 52208017\n7 2 95379591\n7 3 11879420\n9 4 29407882\n5 2 7071580\n1 3 8504812\n10 1 33257194\n8 4 82791652\n7 1 80459645\n1 1 16192359\n6 2 94008980\n5 2 3860746\n8 4 10851893\n2 4 44095907\n8 3 12633672\n1 4 25738305\n9 2 41359425\n10 1 59169017\n9 2 46914536\n10 2 89418619\n8 3 82884375\n9 1 77807875\n11 3 273549\n7 1 13087744\n8 4 65583976\n",
"6 6 6 7\n.##.#.\n......\n.#....\n.##...\n##....\n......\n2 4 578\n4 4 298\n3 4 259\n2 5 340\n2 6 410\n6 3 689\n3 6 532\n5 6 583\n3 3 452\n3 5 352\n1 1 652\n3 3 676\n2 5 856\n6 3 437\n",
"11 4 12 13\n....\n....\n#.#.\n#...\n#.##\n....\n.##.\n.##.\n..#.\n#...\n....\n2 1 446432975\n2 3 173843014\n6 1 186110315\n6 4 794470337\n4 3 196372638\n4 4 335681214\n2 2 305259303\n7 1 338980316\n11 4 325177694\n6 2 575998129\n6 3 14138019\n11 3 836898584\n7 1 80563812\n6 3 760512697\n1 2 753693791\n2 2 848576557\n10 2 20103301\n9 1 1482729141\n2 2 182404810\n7 1 302365714\n10 2 669197789\n11 1 481049799\n10 4 522941950\n2 4 589467774\n11 2 31269275\n2 2 586747251\n",
"7 6 13 12\n....#.\n.#..#.\n......\n.#..#.\n##.#..\n.#....\n...##.\n4 1 114284349\n3 6 282341668\n1 4 620724918\n7 3 816533621\n1 4 854555480\n1 3 145286183\n1 3 28053027\n4 4 758748702\n6 3 991252479\n3 4 158095840\n5 5 826712412\n5 5 414741212\n6 3 399210171\n1 4 771463333\n2 6 237703393\n3 3 362525228\n6 4 206121714\n2 1 410514462\n5 6 8623519\n2 1 960250392\n2 6 778598906\n5 3 302674788\n3 2 11109054\n3 6 446840299\n1 4 247809134\n2 4 351662632\n",
"3 5 7 6\n.#...\n..##.\n#....\n1 1 82\n1 1 95\n3 2 44\n1 4 13\n3 3 79\n1 3 68\n1 4 73\n1 5 32\n3 5 96\n3 5 18\n2 5 59\n2 2 12\n2 5 88\n2 5 15\n",
"4 4 2 3\n....\n.###\n####\n####\n2 1 1\n2 1 2\n2 1 2\n2 1 2\n2 1 2\n1 2 2\n",
"3 8 11 12\n.......#\n.#......\n....#...\n1 2 10\n2 3 6\n2 4 2\n1 6 1\n1 5 6\n1 1 5\n3 3 1\n2 4 4\n1 6 5\n2 3 6\n3 4 5\n3 1 4\n1 3 5\n1 3 2\n1 2 3\n3 2 9\n1 2 6\n3 2 9\n1 1 1\n1 6 9\n3 3 7\n3 8 2\n3 7 7\n3 2 7\n",
"1 1 0 1\n.\n1 1 1\n1 1 2\n",
"8 2 7 6\n..\n..\n..\n..\n##\n..\n..\n..\n8 1 1\n2 1 29\n2 1 17\n6 1 23\n3 2 31\n8 1 11\n1 1 35\n6 1 6\n6 2 19\n2 1 55\n3 1 8\n6 2 22\n2 2 10\n7 2 4\n",
"2 4 0 0\n..#.\n#...\n1 1 1\n1 1 1\n",
"5 9 20 21\n.#....#..\n#.....##.\n.........\n#.#....##\n.....##..\n5 5 1300\n4 4 962\n4 2 5023\n5 1 8096\n3 9 5450\n5 3 578\n2 6 5514\n2 3 4132\n3 9 218\n4 4 6258\n1 1 5632\n4 4 4029\n5 4 6537\n3 2 1811\n1 4 3348\n2 6 5661\n5 4 9296\n4 2 8561\n5 1 9825\n2 2 8636\n4 6 7807\n4 6 9383\n3 9 8208\n4 6 10671\n3 1 5035\n2 2 1340\n1 4 7264\n5 2 1834\n5 4 939\n1 1 7008\n3 7 658\n1 4 3856\n1 4 5116\n5 4 4785\n5 1 5240\n5 9 7007\n5 1 5843\n2 5 3180\n4 5 9252\n4 4 9797\n1 4 7933\n3 4 409\n",
"7 6 9 10\n....#.\n######\n##...#\n##.###\n....#.\n####.#\n.#####\n1 1 1\n1 1 1\n1 1 1\n1 2 1\n1 1 1\n1 1 1\n1 1 1\n1 1 1\n1 1 1\n1 1 1\n1 1 1\n1 1 1\n1 1 1\n1 1 1\n1 1 1\n1 1 1\n1 1 1\n1 1 1\n1 1 1\n1 1 1\n",
"2 2 2 2\n#.\n#.\n1 2 1\n1 2 1\n1 2 1\n2 2 1\n2 2 1\n",
"8 2 7 6\n..\n..\n..\n..\n##\n..\n..\n..\n8 1 1\n2 1 29\n2 1 17\n6 1 23\n3 2 31\n8 1 11\n1 1 35\n6 1 6\n6 1 19\n2 1 55\n3 1 8\n6 2 22\n2 2 10\n7 2 4\n",
"2 4 0 0\n..#.\n#...\n1 1 1\n2 1 1\n",
"11 4 12 13\n....\n..#.\n##..\n..#.\n..#.\n#..#\n....\n.#..\n..#.\n...#\n....\n8 3 27137967\n5 2 52208017\n7 2 95379591\n7 3 11879420\n9 4 29407882\n5 2 7071580\n1 4 8504812\n10 1 33257194\n8 4 82791652\n7 1 80459645\n1 1 16192359\n6 2 94008980\n5 2 3860746\n8 4 10851893\n2 4 44095907\n8 3 12633672\n1 4 25738305\n9 2 41359425\n10 1 59169017\n9 2 46914536\n10 2 89418619\n8 3 82884375\n9 1 77807875\n11 3 273549\n7 1 13087744\n8 4 65583976\n",
"7 6 13 12\n....#.\n.#..#.\n......\n.#..#.\n##.#..\n.#....\n...##.\n4 1 114284349\n3 6 282341668\n1 4 620724918\n7 3 816533621\n1 4 854555480\n1 3 145286183\n1 3 28053027\n4 4 758748702\n6 3 991252479\n3 4 158095840\n5 5 826712412\n5 5 414741212\n6 3 399210171\n1 4 771463333\n2 6 237703393\n3 3 664967469\n6 4 206121714\n2 1 410514462\n5 6 8623519\n2 1 960250392\n2 6 778598906\n5 3 302674788\n3 2 11109054\n3 6 446840299\n1 4 247809134\n2 4 351662632\n",
"2 2 2 2\n.#\n#.\n1 2 1\n1 2 1\n1 2 1\n2 2 1\n2 2 1\n",
"8 2 7 6\n..\n..\n..\n..\n##\n..\n..\n..\n8 1 1\n2 1 29\n2 1 17\n6 2 23\n3 2 31\n8 1 11\n1 1 35\n6 1 6\n6 1 19\n2 1 55\n3 1 8\n6 2 22\n2 2 10\n7 2 4\n",
"11 4 12 13\n....\n..#.\n##..\n..#.\n..#.\n#..#\n....\n.#..\n..#.\n...#\n....\n8 3 27137967\n5 2 52208017\n7 2 95379591\n7 3 11879420\n9 4 29407882\n5 2 7071580\n1 4 8504812\n10 1 33257194\n8 4 82791652\n7 1 80459645\n1 1 16192359\n6 2 94008980\n5 2 3860746\n8 4 10851893\n2 4 44095907\n8 3 12633672\n1 4 25738305\n9 2 41359425\n10 1 59169017\n9 2 46914536\n10 2 89418619\n8 3 82884375\n9 1 77807875\n11 3 273549\n7 1 13087744\n9 4 65583976\n",
"7 6 13 12\n....#.\n.#..#.\n......\n.#..#.\n##.#..\n.#....\n...##.\n4 1 114284349\n3 6 282341668\n1 4 620724918\n7 3 816533621\n1 4 854555480\n1 3 145286183\n1 3 28053027\n4 4 758748702\n6 3 991252479\n3 4 158095840\n5 5 826712412\n5 5 414741212\n6 3 399210171\n1 4 771463333\n2 6 237703393\n3 3 664967469\n6 4 206121714\n2 1 410514462\n5 6 8623519\n3 1 960250392\n2 6 778598906\n5 3 302674788\n3 2 11109054\n3 6 446840299\n1 4 247809134\n2 4 351662632\n",
"2 2 2 2\n.#\n#.\n1 2 1\n1 2 1\n1 2 1\n2 2 1\n3 2 1\n",
"1 4 2 3\n..#.\n1 1 1\n1 1 1\n1 1 1\n1 1 2\n1 1 1\n1 1 1\n",
"1 1 1 1\n.\n1 1 1\n1 1 1\n1 1 0\n",
"2 4 3 2\n..##\n.#..\n1 1 1\n1 1 1\n1 1 6\n1 1 2\n1 2 1\n1 1 1\n",
"10 4 8 7\n....\n....\n.#..\n..#.\n....\n..#.\n....\n....\n#...\n.#..\n10 4 6490061\n10 1 2368373\n6 1 4838037\n2 3 5242359\n6 1 7207294\n8 1 1523877\n1 3 3021571\n9 2 7078661\n2 4 4676928\n2 4 4340654\n3 3 3197429\n1 4 5961413\n2 1 8385413\n3 3 8111099\n5 1 1992731\n3 4 5877110\n",
"1 7 0 1\n.#...#.\n1 7 2\n1 5 69\n",
"4 5 6 5\n###.#\n..#.#\n##.##\n.#.#.\n2 4 1\n1 4 1\n1 4 1\n1 4 1\n1 4 1\n1 4 1\n1 4 1\n1 4 1\n1 4 1\n1 4 1\n1 4 1\n1 4 1\n"
],
"output": [
"2\n",
"-1\n",
"9\n",
"-1\n",
"0\n",
"-1\n",
"-1\n",
"118\n",
"-1\n",
"2\n",
"8\n",
"-1\n",
"12\n",
"4\n",
"-1\n",
"0\n",
"95320\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"59196438\n",
"1192\n",
"-1\n",
"0\n",
"80459645\n",
"894\n",
"-1\n",
"9\n",
"-1\n",
"-1\n",
"-1\n",
"5\n",
"21\n",
"-1\n",
"586747251\n",
"771463333\n",
"96\n",
"787199\n",
"-1\n",
"-1\n",
"-1\n",
"4\n",
"59196438\n",
"80459645\n",
"1036\n",
"586747251\n",
"771463333\n",
"73\n",
"2\n",
"9\n",
"0\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"80459645\n",
"771463333\n",
"-1\n",
"-1\n",
"80459645\n",
"771463333\n",
"-1\n",
"-1\n",
"-1\n",
"2\n",
"-1\n",
"-1\n",
"-1\n"
]
} | 2CODEFORCES
|
513_F1. Scaygerboss_38279 | Cthulhu decided to catch Scaygerboss. Scaygerboss found it out and is trying to hide in a pack of his scaygers. Each scayger except Scaygerboss is either a male or a female. Scaygerboss's gender is "other".
Scaygers are scattered on a two-dimensional map divided into cells. A scayger looks nerdy and loveable if it is staying in the same cell with exactly one scayger of a gender that is different from its own gender. Cthulhu will not be able to catch Scaygerboss if all the scaygers on the map look nerdy and loveable.
The scaygers can move around at different speeds. For each scayger, we are given the time it takes this scayger to move from a cell to an adjacent cell. Cells are adjacent if they share a common side. At any point of time, each cell that does not contain an obstacle can be occupied by an arbitrary number of scaygers. Scaygers cannot move to cells with obstacles.
Calculate minimal time in order to make all scaygers look nerdy and loveable if they move optimally toward this goal.
Input
The first line contains 4 integers: n, m, males, females (0 ≤ males, females ≤ n·m). n and m are dimensions of the map; males and females are numbers of male scaygers and female scaygers.
Next n lines describe the map. Each of these lines contains m characters. Character '.' stands for a free cell; character '#' stands for a cell with an obstacle.
The next line contains 3 integers r, c, and t (1 ≤ r ≤ n, 1 ≤ c ≤ m, 1 ≤ t ≤ 109): the current coordinates of Scaygerboss and the time it takes Scaygerboss to move to an adjacent cell. The next males lines contain coordinates and times of male scaygers in the same format as for Scaygerboss. The next females lines contain coordinates and times of female scaygers in the same format as for Scaygerboss. (The coordinates and times adhere to the same limits as for Scaygerboss.) All scaygers reside in cells without obstacles.
The problem consists of two subproblems. The subproblems have different constraints on the input. You will get some score for the correct submission of the subproblem. The description of the subproblems follows.
* In subproblem F1 (14 points), the constraints 1 ≤ n, m ≤ 11 will hold.
* In subproblem F2 (6 points), the constraints 1 ≤ n, m ≤ 22 will hold.
Output
Output the minimum possible time it takes to make all scaygers look nerdy and loveable or -1 if it is impossible.
Examples
Input
4 4 2 3
....
.###
####
####
2 1 1
2 1 2
2 1 2
2 1 2
2 1 2
1 1 2
Output
2
Input
2 4 2 2
....
.###
2 1 1
2 1 2
2 1 2
2 1 2
2 1 2
Output
-1
Note
Consider the first sample test. The scaygers are hiding on a 4 by 4 map. Scaygerboss initially resides in the cell (2, 1) and can move between cells in 1 unit of time. There are also 2 male and 3 female scaygers on the map. One of the females initially is in the cell (1, 1), and all the other scaygers are in the cell (2, 1). All the scaygers move between cells in 2 units of time. If Scaygerboss and the female scayger from the cell (1, 1) move to the cell (1, 2), and a male and a female scayger from those residing in the cell (2, 1) move to the cell (1, 1), then all the scaygers will look nerdy and lovable in 2 units of time. | import java.io.*;
import java.util.*;
public class CFF {
FastScanner in;
PrintWriter out;
class Edge {
int fr, to;
long flow, cap;
Edge rev;
Edge(int fr, int to, long cap) {
this.fr = fr;
this.to = to;
this.cap = cap;
}
}
class Flow {
int n;
int[] q;
boolean[] was;
int[] dist;
int[] cntOnLayer;
int[] prev;
Edge[] prevEdge;
int[] curEdge;
boolean canReachSink = true;
ArrayList<Edge>[] g;
Flow(int n) {
this.n = n;
g = new ArrayList[n];
for (int i = 0; i < n; i++) {
g[i] = new ArrayList<>();
}
q = new int[n];
was = new boolean[n];
dist = new int[n];
cntOnLayer = new int[n + 1];
prev = new int[n];
curEdge = new int[n];
prevEdge = new Edge[n];
}
Edge addEdge(int fr, int to, long cap) {
Edge e1 = new Edge(fr, to, cap);
Edge e2 = new Edge(to, fr, 0);
e1.rev = e2;
e2.rev = e1;
g[fr].add(e1);
g[to].add(e2);
return e1;
}
boolean bfs() {
Arrays.fill(was, false);
Arrays.fill(dist, n);
Arrays.fill(cntOnLayer, 0);
cntOnLayer[n] = n;
dist[n - 1] = 0;
was[n - 1] = true;
cntOnLayer[0]++;
cntOnLayer[n]--;
int qIt = 0, qSz = 0;
q[qSz++] = n - 1;
while (qIt < qSz) {
int v = q[qIt++];
for (Edge e : g[v]) {
if (was[e.to] || e.rev.flow == e.rev.cap) {
continue;
}
was[e.to] = true;
q[qSz] = e.to;
cntOnLayer[dist[e.to]]--;
dist[e.to] = dist[v] + 1;
cntOnLayer[dist[e.to]]++;
qSz++;
}
}
return dist[0] != n;
}
long augment() {
long flow = Long.MAX_VALUE;
for (int i = n - 1; i != 0; i = prev[i]) {
flow = Math.min(flow, prevEdge[i].cap - prevEdge[i].flow);
}
for (int i = n - 1; i != 0; i = prev[i]) {
prevEdge[i].flow += flow;
prevEdge[i].rev.flow -= flow;
}
return flow;
}
int retreat(int v) {
int newDist = n - 1;
for (Edge e : g[v]) {
if (e.flow < e.cap && dist[e.to] < newDist) {
newDist = dist[e.to];
}
}
cntOnLayer[dist[v]]--;
if (cntOnLayer[dist[v]] == 0) {
if (newDist + 1 > dist[v]) {
canReachSink = false;
}
}
dist[v] = 1 + newDist;
cntOnLayer[dist[v]]++;
if (v != 0) {
v = prev[v];
}
return v;
}
void clear() {
for (int v = 0; v < n; v++) {
for (Edge e : g[v]) {
e.flow = 0;
}
}
}
long flow() {
long res = 0;
canReachSink = true;
Arrays.fill(prev, 0);
Arrays.fill(curEdge, 0);
clear();
if (!bfs()) {
return 0;
}
int v = 0;
while (dist[0] < n) {
for (; curEdge[v] < g[v].size(); curEdge[v]++) {
Edge e = g[v].get(curEdge[v]);
if (e.flow < e.cap && dist[v] == dist[e.to] + 1)
break;
}
if (curEdge[v] != g[v].size()) {
Edge e = g[v].get(curEdge[v]);
prev[e.to] = v;
prevEdge[e.to] = e;
v = e.to;
if (v == n - 1) {
res += augment();
v = 0;
}
} else {
curEdge[v] = 0;
v = retreat(v);
if (!canReachSink) {
break;
}
}
}
return res;
}
}
void solve() {
int n = in.nextInt();
int m = in.nextInt();
int males = in.nextInt();
int females = in.nextInt();
boolean meMale = males < females;
int[] dx = new int[] { -1, 0, 0, 1 };
int[] dy = new int[] { 0, -1, 1, 0 };
if (males + (meMale ? 1 : -1) == females) {
char[][] a = new char[n][];
for (int i = 0; i < n; i++) {
a[i] = in.next().toCharArray();
}
int[][] id = new int[n][m];
int cnt = 0;
for (int i = 0; i < n; i++) {
for (int j = 0; j < m; j++) {
if (a[i][j] == '.') {
id[i][j] = cnt++;
} else {
id[i][j] = -1;
}
}
}
int[] xPos = new int[cnt];
int[] yPos = new int[cnt];
for (int i = 0; i < n; i++)
for (int j = 0; j < m; j++)
if (id[i][j] != -1) {
xPos[id[i][j]] = i;
yPos[id[i][j]] = j;
}
int[][] time = new int[cnt][cnt];
int[] q = new int[cnt];
for (int i = 0; i < cnt; i++) {
Arrays.fill(time[i], -1);
time[i][i] = 0;
q[0] = i;
int qIt = 0, qSz = 1;
while (qIt < qSz) {
int cid = q[qIt++];
int x = xPos[cid], y = yPos[cid];
for (int ii = 0; ii < dx.length; ii++) {
int nx = x + dx[ii];
int ny = y + dy[ii];
if (nx >= 0 && nx < n && ny >= 0 && ny < m) {
int rId = id[nx][ny];
if (rId != -1 && time[i][rId] == -1) {
time[i][rId] = time[i][cid] + 1;
q[qSz++] = rId;
}
}
}
}
}
int[] startX = new int[males + females + 1];
int[] startY = new int[males + females + 1];
int[] timeNeed = new int[males + females + 1];
for (int i = 0; i < startX.length; i++) {
startX[i] = in.nextInt() - 1;
startY[i] = in.nextInt() - 1;
timeNeed[i] = in.nextInt();
}
int total = males + females + 1;
boolean[] isMale = new boolean[total];
for (int i = 0; i < males; i++) {
isMale[i + 1] = true;
}
isMale[0] = meMale;
for (int i = 0; i < females; i++) {
isMale[i + 1 + males] = false;
}
Flow f = new Flow(2 + cnt + cnt + total);
for (int i = 0; i < cnt; i++) {
f.addEdge(1 + total + i, 1 + total + cnt + i, 1);
}
Edge[][] edges = new Edge[total][cnt];
ArrayList<Long> interesingVals = new ArrayList<>();
interesingVals.add(0L);
for (int i = 0; i < total; i++) {
if (isMale[i]) {
f.addEdge(0, i + 1, 1);
for (int j = 0; j < cnt; j++) {
int tt = time[id[startX[i]][startY[i]]][j];
if (tt != -1 && tt * 1L * timeNeed[i] <= Long.MAX_VALUE) {
interesingVals.add(tt * 1L * timeNeed[i]);
edges[i][j] = f.addEdge(i + 1, total + 1 + j, 1);
}
}
} else {
f.addEdge(i + 1, f.n - 1, 1);
for (int j = 0; j < cnt; j++) {
int tt = time[id[startX[i]][startY[i]]][j];
if (tt != -1 && tt * 1L * timeNeed[i] <= Long.MAX_VALUE) {
interesingVals.add(tt * 1L * timeNeed[i]);
edges[i][j] = f.addEdge(cnt + total + 1 + j, 1 + i,
1);
}
}
}
}
Collections.sort(interesingVals);
int left = -1, right = interesingVals.size();
while (right - left > 1) {
int mm = (left + right) / 2;
long mid = interesingVals.get(mm);
for (int i = 0; i < total; i++) {
if (isMale[i]) {
for (int j = 0; j < cnt; j++) {
int tt = time[id[startX[i]][startY[i]]][j];
if (tt != -1) {
if (tt * 1L * timeNeed[i] <= mid) {
edges[i][j].cap = 1;
} else {
edges[i][j].cap = 0;
}
}
}
} else {
for (int j = 0; j < cnt; j++) {
int tt = time[id[startX[i]][startY[i]]][j];
if (tt != -1) {
if (tt * 1L * timeNeed[i] <= mid) {
edges[i][j].cap = 1;
} else {
edges[i][j].cap = 0;
}
}
}
}
}
int needFlow = males;
if (meMale) {
needFlow++;
}
if (f.flow() == needFlow) {
right = mm;
} else {
left = mm;
}
}
if (right == interesingVals.size()) {
out.println(-1);
} else {
out.println(interesingVals.get(right));
}
} else {
out.println(-1);
}
}
void runIO() {
in = new FastScanner(System.in);
out = new PrintWriter(System.out);
solve();
out.close();
}
void run() {
try {
in = new FastScanner(new File("test.in"));
out = new PrintWriter(new File("test.out"));
solve();
out.close();
} catch (FileNotFoundException e) {
e.printStackTrace();
}
}
class FastScanner {
BufferedReader br;
StringTokenizer st;
public FastScanner(File f) {
try {
br = new BufferedReader(new FileReader(f));
} catch (FileNotFoundException e) {
e.printStackTrace();
}
}
public FastScanner(InputStream f) {
br = new BufferedReader(new InputStreamReader(f));
}
String next() {
while (st == null || !st.hasMoreTokens()) {
String s = null;
try {
s = br.readLine();
} catch (IOException e) {
e.printStackTrace();
}
if (s == null)
return null;
st = new StringTokenizer(s);
}
return st.nextToken();
}
boolean hasMoreTokens() {
while (st == null || !st.hasMoreTokens()) {
String s = null;
try {
s = br.readLine();
} catch (IOException e) {
e.printStackTrace();
}
if (s == null)
return false;
st = new StringTokenizer(s);
}
return true;
}
int nextInt() {
return Integer.parseInt(next());
}
long nextLong() {
return Long.parseLong(next());
}
double nextDouble() {
return Double.parseDouble(next());
}
}
public static void main(String[] args) {
new CFF().runIO();
}
} | 4JAVA
| {
"input": [
"4 4 2 3\n....\n.###\n####\n####\n2 1 1\n2 1 2\n2 1 2\n2 1 2\n2 1 2\n1 1 2\n",
"2 4 2 2\n....\n.###\n2 1 1\n2 1 2\n2 1 2\n2 1 2\n2 1 2\n",
"3 8 11 12\n.......#\n.#......\n....#...\n1 2 10\n2 3 6\n2 4 2\n1 6 1\n1 5 6\n1 1 5\n3 3 1\n2 4 4\n1 6 5\n2 3 6\n3 4 5\n3 1 4\n1 3 5\n1 3 2\n1 2 3\n3 2 9\n1 2 6\n3 2 9\n1 1 1\n1 6 6\n3 3 7\n3 8 2\n3 7 7\n3 2 7\n",
"1 4 2 3\n..#.\n1 1 1\n1 1 1\n1 1 1\n1 1 1\n1 1 1\n1 1 1\n",
"1 1 0 1\n.\n1 1 1\n1 1 1\n",
"1 1 0 0\n.\n1 1 1\n",
"2 2 2 2\n#.\n#.\n1 2 1\n1 2 1\n1 2 1\n1 2 1\n1 2 1\n",
"11 3 27 26\n#..\n...\n...\n..#\n...\n#..\n...\n...\n#.#\n...\n..#\n6 3 52\n2 1 67\n6 3 39\n3 1 72\n1 2 48\n7 2 19\n5 1 88\n7 3 14\n6 3 92\n10 2 28\n4 1 39\n4 2 89\n7 2 24\n2 3 30\n3 3 14\n5 2 58\n2 1 62\n9 2 84\n7 3 71\n2 2 43\n3 2 60\n8 3 85\n5 1 66\n10 3 25\n2 1 77\n5 1 59\n6 3 55\n1 3 82\n7 1 92\n3 1 51\n10 2 99\n5 2 98\n1 2 94\n5 2 67\n7 3 68\n8 2 98\n4 2 52\n4 1 5\n10 3 10\n7 1 75\n1 3 75\n6 3 29\n1 3 22\n2 1 80\n10 3 45\n10 1 97\n3 3 16\n10 3 28\n2 1 54\n5 1 52\n2 1 93\n1 2 6\n5 3 31\n4 1 51\n",
"1 1 1 1\n.\n1 1 1\n1 1 1\n1 1 1\n",
"2 4 3 2\n..##\n.#..\n1 1 1\n1 1 1\n1 1 6\n1 1 2\n1 1 1\n1 1 1\n",
"3 7 2 1\n.......\n##.###.\n.#.#...\n1 2 18\n1 1 5\n1 5 4\n1 1 3\n",
"10 4 8 7\n....\n....\n.#..\n..#.\n....\n..#.\n....\n....\n#...\n.#..\n10 4 6490061\n10 1 2368373\n6 1 4838037\n2 3 5242359\n6 1 7207294\n8 1 1523877\n1 3 3021571\n9 2 7078661\n2 4 4676928\n2 4 4340654\n3 3 3197429\n1 4 5961413\n2 1 8385413\n3 3 8111099\n5 1 3374292\n3 4 5877110\n",
"3 8 7 6\n#...#..#\n.#..#...\n##......\n1 2 1\n1 2 6\n1 2 1\n1 2 6\n1 2 5\n1 2 4\n1 2 2\n1 2 6\n1 2 1\n1 2 1\n1 2 1\n1 2 1\n1 2 1\n1 2 1\n",
"3 5 2 3\n.....\n.#..#\n..#..\n3 2 9\n1 1 4\n1 1 5\n1 1 3\n1 1 8\n1 1 1\n",
"8 2 7 6\n..\n..\n..\n..\n##\n..\n..\n..\n8 1 1\n2 1 29\n2 1 17\n6 1 23\n3 2 31\n8 1 11\n1 1 35\n6 1 6\n6 2 19\n2 1 35\n3 1 8\n6 2 22\n2 2 10\n7 2 4\n",
"2 4 0 1\n..#.\n#...\n1 1 1\n1 1 1\n",
"11 3 6 7\n#..\n..#\n...\n.#.\n.#.\n...\n.#.\n...\n#..\n...\n...\n2 2 28804\n6 1 64238\n5 1 30616\n1 3 71599\n11 3 95320\n10 1 62618\n7 3 57203\n10 2 17784\n9 3 66137\n8 1 14209\n4 1 36353\n10 2 83190\n1 2 74281\n7 3 99012\n",
"1 7 0 1\n.#...#.\n1 7 2\n1 5 38\n",
"11 3 7 6\n.#.\n.#.\n#.#\n..#\n..#\n.##\n...\n#..\n#..\n#..\n..#\n7 2 39\n11 1 36\n3 2 46\n10 3 32\n2 3 9\n9 2 25\n8 2 6\n9 3 42\n5 1 8\n6 1 46\n8 3 30\n11 2 9\n9 3 15\n7 3 10\n",
"9 1 1 2\n#\n.\n#\n.\n#\n.\n#\n#\n#\n2 1 1\n2 1 1\n2 1 1\n2 1 1\n",
"4 5 6 5\n###.#\n..#.#\n##.##\n.#.#.\n1 4 1\n1 4 1\n1 4 1\n1 4 1\n1 4 1\n1 4 1\n1 4 1\n1 4 1\n1 4 1\n1 4 1\n1 4 1\n1 4 1\n",
"1 5 3 4\n....#\n1 1 25580419\n1 1 39486821\n1 3 66774093\n1 2 20222751\n1 4 32289521\n1 1 59196438\n1 1 89276611\n1 3 13003016\n",
"11 3 5 4\n#..\n...\n...\n.#.\n...\n...\n.#.\n#..\n#.#\n...\n#..\n2 1 109\n2 1 968\n2 3 437\n5 1 871\n10 3 627\n3 3 276\n8 3 716\n5 3 360\n7 3 298\n2 3 854\n",
"5 2 1 2\n.#\n#.\n#.\n..\n..\n4 2 18\n2 2 6\n1 1 9\n1 1 1\n",
"1 1 1 0\n.\n1 1 1\n1 1 1\n",
"11 4 12 13\n....\n#...\n##..\n..#.\n..#.\n#..#\n....\n.#..\n..#.\n...#\n....\n8 3 27137967\n5 2 52208017\n7 2 95379591\n7 3 11879420\n9 4 29407882\n5 2 7071580\n1 3 8504812\n10 1 33257194\n8 4 82791652\n7 1 80459645\n1 1 16192359\n6 2 94008980\n5 2 3860746\n8 4 10851893\n2 4 44095907\n8 3 12633672\n1 4 25738305\n9 2 41359425\n10 1 59169017\n9 2 46914536\n10 2 89418619\n8 3 82884375\n9 1 77807875\n11 3 273549\n7 1 13087744\n8 4 65583976\n",
"6 6 6 7\n.##.#.\n......\n.#....\n.##...\n##....\n......\n2 4 578\n2 4 298\n3 4 259\n2 5 340\n2 6 410\n6 3 689\n3 6 532\n5 6 583\n3 3 452\n3 5 352\n1 1 652\n3 3 676\n2 5 856\n6 3 437\n",
"11 3 7 6\n#.#\n.#.\n...\n.#.\n...\n...\n...\n...\n...\n#..\n...\n9 3 9761\n5 3 8278\n6 1 1207\n2 3 5513\n11 2 5635\n8 3 8748\n6 1 5577\n10 3 9888\n11 1 5305\n3 1 2581\n10 2 2002\n6 2 5363\n1 2 9482\n11 2 1916\n",
"4 9 24 25\n#.#..##.#\n..#.....#\n.........\n...#....#\n1 2 1\n1 2 1\n1 2 1\n1 2 1\n1 2 1\n1 2 1\n1 2 1\n1 2 1\n1 2 1\n1 2 1\n1 2 1\n1 2 1\n1 2 1\n1 2 1\n1 2 1\n1 2 1\n1 2 1\n1 2 1\n1 2 1\n1 2 1\n1 2 1\n1 2 1\n1 2 1\n1 2 1\n1 2 1\n1 2 1\n1 2 1\n1 2 1\n1 2 1\n1 2 1\n1 2 1\n1 2 1\n1 2 1\n1 2 1\n1 2 1\n1 2 1\n1 2 1\n1 2 1\n1 2 1\n1 2 1\n1 2 1\n1 2 1\n1 2 1\n1 2 1\n1 2 1\n1 2 1\n1 2 1\n1 2 1\n1 2 1\n1 2 1\n",
"11 3 2 3\n##.\n...\n...\n###\n...\n...\n#..\n#.#\n...\n...\n..#\n8 2 661958\n9 1 1203895\n7 3 8521440\n2 3 5289370\n10 3 2621134\n10 2 1356668\n",
"11 3 16 17\n##.\n...\n#..\n#.#\n.#.\n#.#\n##.\n.#.\n#..\n...\n...\n8 3 652152\n4 2 244109\n11 3 728772\n3 2 747117\n10 2 50431\n8 3 169907\n11 2 700407\n5 1 734584\n10 3 631278\n3 2 721179\n3 2 300396\n2 2 124321\n11 1 875885\n2 2 345097\n11 3 707909\n3 3 235243\n10 1 685428\n2 1 840691\n10 1 686915\n10 1 641321\n8 3 897518\n3 3 398387\n8 3 201470\n1 3 855687\n2 2 295565\n5 1 286481\n6 2 970677\n6 2 758042\n10 1 357072\n3 2 69413\n7 3 302725\n9 3 953381\n11 3 772841\n4 2 809549\n",
"11 3 18 17\n...\n.##\n###\n...\n...\n..#\n#..\n...\n.#.\n#..\n.#.\n5 3 29\n6 2 32\n6 1 5\n1 3 35\n1 3 22\n4 2 12\n8 3 13\n5 3 10\n8 1 1\n5 1 31\n10 2 10\n4 2 28\n11 1 33\n7 3 5\n1 3 10\n11 1 9\n9 1 1\n1 2 34\n4 1 15\n1 2 2\n10 3 4\n4 2 31\n1 3 12\n4 3 5\n2 1 27\n11 3 11\n10 2 5\n5 1 16\n1 2 20\n1 1 22\n4 1 30\n7 3 27\n9 3 14\n5 1 4\n8 3 36\n8 1 11\n",
"5 9 9 10\n...#.###.\n.#...#...\n.........\n##.#.....\n..#.#.#..\n1 1 1\n1 1 1\n1 1 1\n1 1 1\n1 1 1\n1 1 1\n1 1 1\n1 1 1\n1 1 1\n1 1 1\n1 1 1\n1 1 1\n1 1 1\n1 1 1\n1 1 1\n1 1 1\n1 1 1\n1 1 1\n1 1 1\n1 1 1\n",
"8 6 16 17\n.....#\n#.....\n.....#\n....#.\n.#....\n......\n##.#..\n###..#\n4 2 13\n1 1 4\n1 1 6\n1 1 2\n1 1 4\n1 1 1\n1 1 3\n1 1 3\n1 1 1\n1 1 1\n1 1 5\n1 1 1\n1 1 5\n1 1 4\n1 1 2\n1 1 4\n1 1 1\n1 1 1\n1 1 5\n1 1 1\n1 1 5\n1 1 3\n1 1 9\n1 1 9\n1 1 7\n1 1 5\n1 1 2\n1 1 6\n1 1 4\n1 1 5\n1 1 7\n1 1 9\n1 1 5\n1 1 6\n",
"5 9 20 21\n.#....#..\n#.....##.\n.........\n#.#....##\n.....##..\n5 5 1300\n4 4 962\n4 2 5023\n5 1 8096\n3 9 5450\n5 3 578\n2 6 5514\n2 3 4132\n3 9 218\n4 4 6258\n1 1 5632\n4 4 4029\n5 4 6537\n3 2 1811\n1 4 3348\n2 6 5661\n5 4 9296\n4 2 8561\n5 1 9825\n2 2 8636\n4 6 7807\n4 6 9383\n3 9 8208\n4 6 6620\n3 1 5035\n2 2 1340\n1 4 7264\n5 2 1834\n5 4 939\n1 1 7008\n3 7 658\n1 4 3856\n1 4 5116\n5 4 4785\n5 1 5240\n5 9 7007\n5 1 5843\n2 5 3180\n4 5 9252\n4 4 9797\n1 4 7933\n3 4 409\n",
"11 4 12 13\n....\n....\n#.#.\n#...\n#.##\n....\n.##.\n.##.\n..#.\n#...\n....\n2 1 446432975\n2 3 173843014\n6 1 186110315\n6 4 794470337\n4 3 196372638\n4 4 335681214\n2 2 305259303\n7 1 338980316\n11 4 325177694\n6 2 575998129\n6 3 14138019\n11 3 836898584\n7 1 80563812\n6 3 760512697\n1 2 753693791\n2 2 848576557\n10 2 20103301\n9 1 848596447\n2 2 182404810\n7 1 302365714\n10 2 669197789\n11 1 481049799\n10 4 522941950\n2 4 589467774\n11 2 31269275\n2 2 586747251\n",
"7 6 13 12\n....#.\n.#..#.\n......\n.#..#.\n##.#..\n.#....\n...##.\n4 1 114284349\n3 6 282341668\n1 4 620724918\n7 3 816533621\n1 4 854555480\n1 3 145286183\n1 3 28053027\n4 4 758748702\n6 3 991252479\n3 4 158095840\n5 5 826712412\n5 5 414741212\n6 3 399210171\n1 4 771463333\n2 6 237703393\n3 3 362525228\n6 4 206121714\n2 1 410514462\n5 6 8623519\n2 1 960250392\n2 6 778598906\n5 3 302674788\n3 3 11109054\n3 6 446840299\n1 4 247809134\n2 4 351662632\n",
"3 5 7 6\n.#...\n..##.\n#....\n1 1 82\n1 1 95\n3 2 44\n1 4 80\n3 3 79\n1 3 68\n1 4 73\n1 5 32\n3 5 96\n3 5 18\n2 5 59\n2 2 12\n2 5 88\n2 5 15\n",
"5 6 4 5\n......\n.##.#.\n##.#..\n.#....\n......\n3 5 372023\n2 6 598933\n1 1 428223\n2 4 787199\n4 5 178414\n4 6 377189\n5 5 749030\n1 5 405353\n5 2 547680\n1 4 137987\n",
"7 6 9 10\n....#.\n######\n##...#\n##.###\n....#.\n####.#\n.#####\n1 1 1\n1 1 1\n1 1 1\n1 1 1\n1 1 1\n1 1 1\n1 1 1\n1 1 1\n1 1 1\n1 1 1\n1 1 1\n1 1 1\n1 1 1\n1 1 1\n1 1 1\n1 1 1\n1 1 1\n1 1 1\n1 1 1\n1 1 1\n",
"6 2 4 4\n.#\n..\n#.\n#.\n.#\n.#\n1 1 1\n1 1 1\n1 1 1\n1 1 1\n1 1 1\n1 1 1\n1 1 1\n1 1 1\n1 1 1\n",
"2 2 2 2\n#.\n#.\n1 2 1\n1 2 1\n1 2 1\n1 2 1\n2 2 1\n",
"3 5 2 3\n.....\n#...#\n..#..\n3 2 9\n1 1 4\n1 1 5\n1 1 3\n1 1 8\n1 1 1\n",
"1 5 3 4\n....#\n1 1 25580419\n1 1 39486821\n1 3 121000423\n1 2 20222751\n1 4 32289521\n1 1 59196438\n1 1 89276611\n1 3 13003016\n",
"11 4 12 13\n....\n..#.\n##..\n..#.\n..#.\n#..#\n....\n.#..\n..#.\n...#\n....\n8 3 27137967\n5 2 52208017\n7 2 95379591\n7 3 11879420\n9 4 29407882\n5 2 7071580\n1 3 8504812\n10 1 33257194\n8 4 82791652\n7 1 80459645\n1 1 16192359\n6 2 94008980\n5 2 3860746\n8 4 10851893\n2 4 44095907\n8 3 12633672\n1 4 25738305\n9 2 41359425\n10 1 59169017\n9 2 46914536\n10 2 89418619\n8 3 82884375\n9 1 77807875\n11 3 273549\n7 1 13087744\n8 4 65583976\n",
"6 6 6 7\n.##.#.\n......\n.#....\n.##...\n##....\n......\n2 4 578\n4 4 298\n3 4 259\n2 5 340\n2 6 410\n6 3 689\n3 6 532\n5 6 583\n3 3 452\n3 5 352\n1 1 652\n3 3 676\n2 5 856\n6 3 437\n",
"11 4 12 13\n....\n....\n#.#.\n#...\n#.##\n....\n.##.\n.##.\n..#.\n#...\n....\n2 1 446432975\n2 3 173843014\n6 1 186110315\n6 4 794470337\n4 3 196372638\n4 4 335681214\n2 2 305259303\n7 1 338980316\n11 4 325177694\n6 2 575998129\n6 3 14138019\n11 3 836898584\n7 1 80563812\n6 3 760512697\n1 2 753693791\n2 2 848576557\n10 2 20103301\n9 1 1482729141\n2 2 182404810\n7 1 302365714\n10 2 669197789\n11 1 481049799\n10 4 522941950\n2 4 589467774\n11 2 31269275\n2 2 586747251\n",
"7 6 13 12\n....#.\n.#..#.\n......\n.#..#.\n##.#..\n.#....\n...##.\n4 1 114284349\n3 6 282341668\n1 4 620724918\n7 3 816533621\n1 4 854555480\n1 3 145286183\n1 3 28053027\n4 4 758748702\n6 3 991252479\n3 4 158095840\n5 5 826712412\n5 5 414741212\n6 3 399210171\n1 4 771463333\n2 6 237703393\n3 3 362525228\n6 4 206121714\n2 1 410514462\n5 6 8623519\n2 1 960250392\n2 6 778598906\n5 3 302674788\n3 2 11109054\n3 6 446840299\n1 4 247809134\n2 4 351662632\n",
"3 5 7 6\n.#...\n..##.\n#....\n1 1 82\n1 1 95\n3 2 44\n1 4 13\n3 3 79\n1 3 68\n1 4 73\n1 5 32\n3 5 96\n3 5 18\n2 5 59\n2 2 12\n2 5 88\n2 5 15\n",
"4 4 2 3\n....\n.###\n####\n####\n2 1 1\n2 1 2\n2 1 2\n2 1 2\n2 1 2\n1 2 2\n",
"3 8 11 12\n.......#\n.#......\n....#...\n1 2 10\n2 3 6\n2 4 2\n1 6 1\n1 5 6\n1 1 5\n3 3 1\n2 4 4\n1 6 5\n2 3 6\n3 4 5\n3 1 4\n1 3 5\n1 3 2\n1 2 3\n3 2 9\n1 2 6\n3 2 9\n1 1 1\n1 6 9\n3 3 7\n3 8 2\n3 7 7\n3 2 7\n",
"1 1 0 1\n.\n1 1 1\n1 1 2\n",
"8 2 7 6\n..\n..\n..\n..\n##\n..\n..\n..\n8 1 1\n2 1 29\n2 1 17\n6 1 23\n3 2 31\n8 1 11\n1 1 35\n6 1 6\n6 2 19\n2 1 55\n3 1 8\n6 2 22\n2 2 10\n7 2 4\n",
"2 4 0 0\n..#.\n#...\n1 1 1\n1 1 1\n",
"5 9 20 21\n.#....#..\n#.....##.\n.........\n#.#....##\n.....##..\n5 5 1300\n4 4 962\n4 2 5023\n5 1 8096\n3 9 5450\n5 3 578\n2 6 5514\n2 3 4132\n3 9 218\n4 4 6258\n1 1 5632\n4 4 4029\n5 4 6537\n3 2 1811\n1 4 3348\n2 6 5661\n5 4 9296\n4 2 8561\n5 1 9825\n2 2 8636\n4 6 7807\n4 6 9383\n3 9 8208\n4 6 10671\n3 1 5035\n2 2 1340\n1 4 7264\n5 2 1834\n5 4 939\n1 1 7008\n3 7 658\n1 4 3856\n1 4 5116\n5 4 4785\n5 1 5240\n5 9 7007\n5 1 5843\n2 5 3180\n4 5 9252\n4 4 9797\n1 4 7933\n3 4 409\n",
"7 6 9 10\n....#.\n######\n##...#\n##.###\n....#.\n####.#\n.#####\n1 1 1\n1 1 1\n1 1 1\n1 2 1\n1 1 1\n1 1 1\n1 1 1\n1 1 1\n1 1 1\n1 1 1\n1 1 1\n1 1 1\n1 1 1\n1 1 1\n1 1 1\n1 1 1\n1 1 1\n1 1 1\n1 1 1\n1 1 1\n",
"2 2 2 2\n#.\n#.\n1 2 1\n1 2 1\n1 2 1\n2 2 1\n2 2 1\n",
"8 2 7 6\n..\n..\n..\n..\n##\n..\n..\n..\n8 1 1\n2 1 29\n2 1 17\n6 1 23\n3 2 31\n8 1 11\n1 1 35\n6 1 6\n6 1 19\n2 1 55\n3 1 8\n6 2 22\n2 2 10\n7 2 4\n",
"2 4 0 0\n..#.\n#...\n1 1 1\n2 1 1\n",
"11 4 12 13\n....\n..#.\n##..\n..#.\n..#.\n#..#\n....\n.#..\n..#.\n...#\n....\n8 3 27137967\n5 2 52208017\n7 2 95379591\n7 3 11879420\n9 4 29407882\n5 2 7071580\n1 4 8504812\n10 1 33257194\n8 4 82791652\n7 1 80459645\n1 1 16192359\n6 2 94008980\n5 2 3860746\n8 4 10851893\n2 4 44095907\n8 3 12633672\n1 4 25738305\n9 2 41359425\n10 1 59169017\n9 2 46914536\n10 2 89418619\n8 3 82884375\n9 1 77807875\n11 3 273549\n7 1 13087744\n8 4 65583976\n",
"7 6 13 12\n....#.\n.#..#.\n......\n.#..#.\n##.#..\n.#....\n...##.\n4 1 114284349\n3 6 282341668\n1 4 620724918\n7 3 816533621\n1 4 854555480\n1 3 145286183\n1 3 28053027\n4 4 758748702\n6 3 991252479\n3 4 158095840\n5 5 826712412\n5 5 414741212\n6 3 399210171\n1 4 771463333\n2 6 237703393\n3 3 664967469\n6 4 206121714\n2 1 410514462\n5 6 8623519\n2 1 960250392\n2 6 778598906\n5 3 302674788\n3 2 11109054\n3 6 446840299\n1 4 247809134\n2 4 351662632\n",
"2 2 2 2\n.#\n#.\n1 2 1\n1 2 1\n1 2 1\n2 2 1\n2 2 1\n",
"8 2 7 6\n..\n..\n..\n..\n##\n..\n..\n..\n8 1 1\n2 1 29\n2 1 17\n6 2 23\n3 2 31\n8 1 11\n1 1 35\n6 1 6\n6 1 19\n2 1 55\n3 1 8\n6 2 22\n2 2 10\n7 2 4\n",
"11 4 12 13\n....\n..#.\n##..\n..#.\n..#.\n#..#\n....\n.#..\n..#.\n...#\n....\n8 3 27137967\n5 2 52208017\n7 2 95379591\n7 3 11879420\n9 4 29407882\n5 2 7071580\n1 4 8504812\n10 1 33257194\n8 4 82791652\n7 1 80459645\n1 1 16192359\n6 2 94008980\n5 2 3860746\n8 4 10851893\n2 4 44095907\n8 3 12633672\n1 4 25738305\n9 2 41359425\n10 1 59169017\n9 2 46914536\n10 2 89418619\n8 3 82884375\n9 1 77807875\n11 3 273549\n7 1 13087744\n9 4 65583976\n",
"7 6 13 12\n....#.\n.#..#.\n......\n.#..#.\n##.#..\n.#....\n...##.\n4 1 114284349\n3 6 282341668\n1 4 620724918\n7 3 816533621\n1 4 854555480\n1 3 145286183\n1 3 28053027\n4 4 758748702\n6 3 991252479\n3 4 158095840\n5 5 826712412\n5 5 414741212\n6 3 399210171\n1 4 771463333\n2 6 237703393\n3 3 664967469\n6 4 206121714\n2 1 410514462\n5 6 8623519\n3 1 960250392\n2 6 778598906\n5 3 302674788\n3 2 11109054\n3 6 446840299\n1 4 247809134\n2 4 351662632\n",
"2 2 2 2\n.#\n#.\n1 2 1\n1 2 1\n1 2 1\n2 2 1\n3 2 1\n",
"1 4 2 3\n..#.\n1 1 1\n1 1 1\n1 1 1\n1 1 2\n1 1 1\n1 1 1\n",
"1 1 1 1\n.\n1 1 1\n1 1 1\n1 1 0\n",
"2 4 3 2\n..##\n.#..\n1 1 1\n1 1 1\n1 1 6\n1 1 2\n1 2 1\n1 1 1\n",
"10 4 8 7\n....\n....\n.#..\n..#.\n....\n..#.\n....\n....\n#...\n.#..\n10 4 6490061\n10 1 2368373\n6 1 4838037\n2 3 5242359\n6 1 7207294\n8 1 1523877\n1 3 3021571\n9 2 7078661\n2 4 4676928\n2 4 4340654\n3 3 3197429\n1 4 5961413\n2 1 8385413\n3 3 8111099\n5 1 1992731\n3 4 5877110\n",
"1 7 0 1\n.#...#.\n1 7 2\n1 5 69\n",
"4 5 6 5\n###.#\n..#.#\n##.##\n.#.#.\n2 4 1\n1 4 1\n1 4 1\n1 4 1\n1 4 1\n1 4 1\n1 4 1\n1 4 1\n1 4 1\n1 4 1\n1 4 1\n1 4 1\n"
],
"output": [
"2\n",
"-1\n",
"9\n",
"-1\n",
"0\n",
"-1\n",
"-1\n",
"118\n",
"-1\n",
"2\n",
"8\n",
"-1\n",
"12\n",
"4\n",
"-1\n",
"0\n",
"95320\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"59196438\n",
"1192\n",
"-1\n",
"0\n",
"80459645\n",
"894\n",
"-1\n",
"9\n",
"-1\n",
"-1\n",
"-1\n",
"5\n",
"21\n",
"-1\n",
"586747251\n",
"771463333\n",
"96\n",
"787199\n",
"-1\n",
"-1\n",
"-1\n",
"4\n",
"59196438\n",
"80459645\n",
"1036\n",
"586747251\n",
"771463333\n",
"73\n",
"2\n",
"9\n",
"0\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"80459645\n",
"771463333\n",
"-1\n",
"-1\n",
"80459645\n",
"771463333\n",
"-1\n",
"-1\n",
"-1\n",
"2\n",
"-1\n",
"-1\n",
"-1\n"
]
} | 2CODEFORCES
|
53_B. Blog Photo_38280 | One popular blog site edits the uploaded photos like this. It cuts a rectangular area out of them so that the ratio of height to width (i.e. the height / width quotient) can vary from 0.8 to 1.25 inclusively. Besides, at least one side of the cut area should have a size, equal to some power of number 2 (2x for some integer x). If those rules don't indicate the size of the cut are clearly, then the way with which the cut part possesses the largest area is chosen. Of course, both sides of the cut area should be integer. If there are several answers to this problem, you should choose the answer with the maximal height.
Input
The first line contains a pair of integers h and w (1 ≤ h, w ≤ 109) which are the height and width of the uploaded photo in pixels.
Output
Print two integers which are the height and width of the cut area.
Examples
Input
2 1
Output
1 1
Input
2 2
Output
2 2
Input
5 5
Output
5 4 | from math import ceil, floor, log
def solve(h, w):
s1 = _solve(h, w)
s2 = _solve(w, h)
s2 = s2[1], s2[0]
area = lambda s: s[0] * s[1]
if area(s1) == area(s2):
best = sorted([s1,s2], key=lambda x: x[0])[-1]
else:
best = sorted([s1,s2], key=area)[-1]
return best
def _solve(h, w):
h = 2 ** int(log(h, 2))
wmin = int(ceil(h / 1.25))
wmax = int(floor(h / 0.8))
if w < wmin:
return solve(h-1, w)
else:
return (h, min(w, wmax))
if __name__ == '__main__':
h, w = map(int, raw_input().split())
s = solve(h, w)
print s[0], s[1]
| 1Python2
| {
"input": [
"2 1\n",
"2 2\n",
"5 5\n",
"15 13\n",
"9 10\n",
"47 46\n",
"49829224 49889315\n",
"483242 484564\n",
"644590722 593296648\n",
"971840165 826141527\n",
"49728622 49605627\n",
"99692141 99232337\n",
"48298903 49928606\n",
"792322809 775058858\n",
"998557701 924591072\n",
"939 887\n",
"9909199 9945873\n",
"39271 49032\n",
"1000000000 1000000000\n",
"49934587 49239195\n",
"4774 4806\n",
"944976601 976175854\n",
"4939191 4587461\n",
"99 100\n",
"48945079 49798393\n",
"49874820 49474021\n",
"47 56\n",
"39271 49011\n",
"1010000000 1000000000\n",
"101 100\n",
"6 5\n",
"8 10\n",
"40344417 49605627\n",
"9909199 9735441\n",
"51927138 49798393\n",
"1 1\n",
"13 13\n",
"4939191 4455370\n",
"47 54\n",
"100 100\n",
"110 100\n",
"110 110\n",
"100 110\n",
"47 45\n",
"1010000000 1000000010\n",
"1010000000 1000000001\n",
"101 110\n",
"111 100\n",
"111 110\n",
"101 111\n",
"1011000000 1000000010\n",
"100 111\n",
"100 101\n",
"101 101\n",
"49829224 60056281\n",
"1000000010 1000000000\n",
"57455132 49239195\n",
"47 48\n",
"47 57\n",
"1010000000 1001000010\n",
"1010000001 1000000001\n",
"111 101\n",
"111 111\n",
"1011000000 1000001010\n",
"1000000010 1010000000\n",
"57455132 54832111\n",
"1010000001 1000001001\n",
"1011000000 1010001010\n",
"1000000000 1010000000\n",
"57455132 61793242\n",
"1010000001 1000001000\n",
"1011000000 1010001000\n",
"1000000001 1010000000\n",
"52750015 61793242\n",
"1010000001 1000000000\n",
"1011000000 1011001000\n",
"1010000001 1010000000\n",
"1010000101 1000000000\n",
"1010000001 1010100000\n"
],
"output": [
"1 1",
"2 2",
"5 4",
"10 8",
"8 10",
"40 32",
"41943040 33554432",
"327680 262144",
"644590722 536870912",
"671088640 536870912",
"41943040 33554432",
"83886080 67108864",
"41943040 33554432",
"671088640 536870912",
"671088640 536870912",
"640 512",
"8388608 9945873",
"32768 40960",
"671088640 536870912",
"41943040 33554432",
"4096 4806",
"671088640 536870912",
"4939191 4194304",
"80 64",
"41943040 33554432",
"41943040 33554432",
"40 32\n",
"32768 40960\n",
"671088640 536870912\n",
"80 64\n",
"5 4\n",
"8 10\n",
"33554432 41943040\n",
"9909199 8388608\n",
"41943040 33554432\n",
"1 1\n",
"10 8\n",
"4939191 4194304\n",
"40 32\n",
"80 64\n",
"80 64\n",
"80 64\n",
"80 64\n",
"40 32\n",
"671088640 536870912\n",
"671088640 536870912\n",
"80 64\n",
"80 64\n",
"80 64\n",
"80 64\n",
"671088640 536870912\n",
"80 64\n",
"80 64\n",
"80 64\n",
"41943040 33554432\n",
"671088640 536870912\n",
"41943040 33554432\n",
"40 32\n",
"40 32\n",
"671088640 536870912\n",
"671088640 536870912\n",
"80 64\n",
"80 64\n",
"671088640 536870912\n",
"671088640 536870912\n",
"41943040 33554432\n",
"671088640 536870912\n",
"671088640 536870912\n",
"671088640 536870912\n",
"41943040 33554432\n",
"671088640 536870912\n",
"671088640 536870912\n",
"671088640 536870912\n",
"41943040 33554432\n",
"671088640 536870912\n",
"671088640 536870912\n",
"671088640 536870912\n",
"671088640 536870912\n",
"671088640 536870912\n"
]
} | 2CODEFORCES
|
53_B. Blog Photo_38281 | One popular blog site edits the uploaded photos like this. It cuts a rectangular area out of them so that the ratio of height to width (i.e. the height / width quotient) can vary from 0.8 to 1.25 inclusively. Besides, at least one side of the cut area should have a size, equal to some power of number 2 (2x for some integer x). If those rules don't indicate the size of the cut are clearly, then the way with which the cut part possesses the largest area is chosen. Of course, both sides of the cut area should be integer. If there are several answers to this problem, you should choose the answer with the maximal height.
Input
The first line contains a pair of integers h and w (1 ≤ h, w ≤ 109) which are the height and width of the uploaded photo in pixels.
Output
Print two integers which are the height and width of the cut area.
Examples
Input
2 1
Output
1 1
Input
2 2
Output
2 2
Input
5 5
Output
5 4 | #include <bits/stdc++.h>
using namespace std;
int main() {
long long i, j, h, w, tmp_h, tmp_w;
cin >> h >> w;
for (i = 0;; i++) {
if ((long long)(1 << i) > h || (long long)(1 << i) > (5 * w) / 4) {
i--;
break;
}
}
for (j = 0;; j++) {
if ((long long)(1 << j) > w || (long long)(1 << j) > (5 * h) / 4) {
j--;
break;
}
}
i = 1 << i;
j = 1 << j;
tmp_h = min(j * 5 / 4, h);
tmp_w = min(i * 5 / 4, w);
if (i * tmp_w > j * tmp_h)
cout << i << " " << tmp_w << endl;
else if (i * tmp_w < j * tmp_h)
cout << tmp_h << " " << j << endl;
else
cout << max(i, tmp_h) << " " << min(j, tmp_w) << endl;
return 0;
}
| 2C++
| {
"input": [
"2 1\n",
"2 2\n",
"5 5\n",
"15 13\n",
"9 10\n",
"47 46\n",
"49829224 49889315\n",
"483242 484564\n",
"644590722 593296648\n",
"971840165 826141527\n",
"49728622 49605627\n",
"99692141 99232337\n",
"48298903 49928606\n",
"792322809 775058858\n",
"998557701 924591072\n",
"939 887\n",
"9909199 9945873\n",
"39271 49032\n",
"1000000000 1000000000\n",
"49934587 49239195\n",
"4774 4806\n",
"944976601 976175854\n",
"4939191 4587461\n",
"99 100\n",
"48945079 49798393\n",
"49874820 49474021\n",
"47 56\n",
"39271 49011\n",
"1010000000 1000000000\n",
"101 100\n",
"6 5\n",
"8 10\n",
"40344417 49605627\n",
"9909199 9735441\n",
"51927138 49798393\n",
"1 1\n",
"13 13\n",
"4939191 4455370\n",
"47 54\n",
"100 100\n",
"110 100\n",
"110 110\n",
"100 110\n",
"47 45\n",
"1010000000 1000000010\n",
"1010000000 1000000001\n",
"101 110\n",
"111 100\n",
"111 110\n",
"101 111\n",
"1011000000 1000000010\n",
"100 111\n",
"100 101\n",
"101 101\n",
"49829224 60056281\n",
"1000000010 1000000000\n",
"57455132 49239195\n",
"47 48\n",
"47 57\n",
"1010000000 1001000010\n",
"1010000001 1000000001\n",
"111 101\n",
"111 111\n",
"1011000000 1000001010\n",
"1000000010 1010000000\n",
"57455132 54832111\n",
"1010000001 1000001001\n",
"1011000000 1010001010\n",
"1000000000 1010000000\n",
"57455132 61793242\n",
"1010000001 1000001000\n",
"1011000000 1010001000\n",
"1000000001 1010000000\n",
"52750015 61793242\n",
"1010000001 1000000000\n",
"1011000000 1011001000\n",
"1010000001 1010000000\n",
"1010000101 1000000000\n",
"1010000001 1010100000\n"
],
"output": [
"1 1",
"2 2",
"5 4",
"10 8",
"8 10",
"40 32",
"41943040 33554432",
"327680 262144",
"644590722 536870912",
"671088640 536870912",
"41943040 33554432",
"83886080 67108864",
"41943040 33554432",
"671088640 536870912",
"671088640 536870912",
"640 512",
"8388608 9945873",
"32768 40960",
"671088640 536870912",
"41943040 33554432",
"4096 4806",
"671088640 536870912",
"4939191 4194304",
"80 64",
"41943040 33554432",
"41943040 33554432",
"40 32\n",
"32768 40960\n",
"671088640 536870912\n",
"80 64\n",
"5 4\n",
"8 10\n",
"33554432 41943040\n",
"9909199 8388608\n",
"41943040 33554432\n",
"1 1\n",
"10 8\n",
"4939191 4194304\n",
"40 32\n",
"80 64\n",
"80 64\n",
"80 64\n",
"80 64\n",
"40 32\n",
"671088640 536870912\n",
"671088640 536870912\n",
"80 64\n",
"80 64\n",
"80 64\n",
"80 64\n",
"671088640 536870912\n",
"80 64\n",
"80 64\n",
"80 64\n",
"41943040 33554432\n",
"671088640 536870912\n",
"41943040 33554432\n",
"40 32\n",
"40 32\n",
"671088640 536870912\n",
"671088640 536870912\n",
"80 64\n",
"80 64\n",
"671088640 536870912\n",
"671088640 536870912\n",
"41943040 33554432\n",
"671088640 536870912\n",
"671088640 536870912\n",
"671088640 536870912\n",
"41943040 33554432\n",
"671088640 536870912\n",
"671088640 536870912\n",
"671088640 536870912\n",
"41943040 33554432\n",
"671088640 536870912\n",
"671088640 536870912\n",
"671088640 536870912\n",
"671088640 536870912\n",
"671088640 536870912\n"
]
} | 2CODEFORCES
|
53_B. Blog Photo_38282 | One popular blog site edits the uploaded photos like this. It cuts a rectangular area out of them so that the ratio of height to width (i.e. the height / width quotient) can vary from 0.8 to 1.25 inclusively. Besides, at least one side of the cut area should have a size, equal to some power of number 2 (2x for some integer x). If those rules don't indicate the size of the cut are clearly, then the way with which the cut part possesses the largest area is chosen. Of course, both sides of the cut area should be integer. If there are several answers to this problem, you should choose the answer with the maximal height.
Input
The first line contains a pair of integers h and w (1 ≤ h, w ≤ 109) which are the height and width of the uploaded photo in pixels.
Output
Print two integers which are the height and width of the cut area.
Examples
Input
2 1
Output
1 1
Input
2 2
Output
2 2
Input
5 5
Output
5 4 | from math import ceil,floor
l = []
for i in range(39):
l.append(2**i)
h,w = map(int,input().split())
h1 = 0
w1 = 0
maxi = 0
for i in l:
if i<=w:
a = ceil(i*0.8)
b = floor(i*1.25)
if a<=h<=b:
if i*h>=maxi:
maxi = i * h
h1 = h
w1 = i
elif b<h:
if i*b>=maxi:
maxi = i * b
h1 = b
w1 = i
elif a<h:
if i*a>=maxi:
maxi = i * a
h1 = a
w1 = i
h2 = 0
w2 = 0
w,h = h,w
maxi = 0
for i in l:
if i<=w:
a = ceil(i/(1.25))
b = floor(i/(0.8))
if i<=w:
a = ceil(i*0.8)
b = floor(i*1.25)
if a<=h<=b:
if i*h>=maxi:
maxi = i * h
h2 = h
w2 = i
elif b<h:
if i*b>=maxi:
maxi = i * b
h2 = b
w2 = i
elif a<h:
if i*a>=maxi:
maxi = i * a
h2 = a
w2 = i
w2,h2 = h2,w2
if h1*w1>h2*w2:
print(h1,w1)
elif h1*w1 == h2*w2:
if h1>h2:
print(h1,w1)
else:
print(h2,w2)
else:
print(h2,w2)
| 3Python3
| {
"input": [
"2 1\n",
"2 2\n",
"5 5\n",
"15 13\n",
"9 10\n",
"47 46\n",
"49829224 49889315\n",
"483242 484564\n",
"644590722 593296648\n",
"971840165 826141527\n",
"49728622 49605627\n",
"99692141 99232337\n",
"48298903 49928606\n",
"792322809 775058858\n",
"998557701 924591072\n",
"939 887\n",
"9909199 9945873\n",
"39271 49032\n",
"1000000000 1000000000\n",
"49934587 49239195\n",
"4774 4806\n",
"944976601 976175854\n",
"4939191 4587461\n",
"99 100\n",
"48945079 49798393\n",
"49874820 49474021\n",
"47 56\n",
"39271 49011\n",
"1010000000 1000000000\n",
"101 100\n",
"6 5\n",
"8 10\n",
"40344417 49605627\n",
"9909199 9735441\n",
"51927138 49798393\n",
"1 1\n",
"13 13\n",
"4939191 4455370\n",
"47 54\n",
"100 100\n",
"110 100\n",
"110 110\n",
"100 110\n",
"47 45\n",
"1010000000 1000000010\n",
"1010000000 1000000001\n",
"101 110\n",
"111 100\n",
"111 110\n",
"101 111\n",
"1011000000 1000000010\n",
"100 111\n",
"100 101\n",
"101 101\n",
"49829224 60056281\n",
"1000000010 1000000000\n",
"57455132 49239195\n",
"47 48\n",
"47 57\n",
"1010000000 1001000010\n",
"1010000001 1000000001\n",
"111 101\n",
"111 111\n",
"1011000000 1000001010\n",
"1000000010 1010000000\n",
"57455132 54832111\n",
"1010000001 1000001001\n",
"1011000000 1010001010\n",
"1000000000 1010000000\n",
"57455132 61793242\n",
"1010000001 1000001000\n",
"1011000000 1010001000\n",
"1000000001 1010000000\n",
"52750015 61793242\n",
"1010000001 1000000000\n",
"1011000000 1011001000\n",
"1010000001 1010000000\n",
"1010000101 1000000000\n",
"1010000001 1010100000\n"
],
"output": [
"1 1",
"2 2",
"5 4",
"10 8",
"8 10",
"40 32",
"41943040 33554432",
"327680 262144",
"644590722 536870912",
"671088640 536870912",
"41943040 33554432",
"83886080 67108864",
"41943040 33554432",
"671088640 536870912",
"671088640 536870912",
"640 512",
"8388608 9945873",
"32768 40960",
"671088640 536870912",
"41943040 33554432",
"4096 4806",
"671088640 536870912",
"4939191 4194304",
"80 64",
"41943040 33554432",
"41943040 33554432",
"40 32\n",
"32768 40960\n",
"671088640 536870912\n",
"80 64\n",
"5 4\n",
"8 10\n",
"33554432 41943040\n",
"9909199 8388608\n",
"41943040 33554432\n",
"1 1\n",
"10 8\n",
"4939191 4194304\n",
"40 32\n",
"80 64\n",
"80 64\n",
"80 64\n",
"80 64\n",
"40 32\n",
"671088640 536870912\n",
"671088640 536870912\n",
"80 64\n",
"80 64\n",
"80 64\n",
"80 64\n",
"671088640 536870912\n",
"80 64\n",
"80 64\n",
"80 64\n",
"41943040 33554432\n",
"671088640 536870912\n",
"41943040 33554432\n",
"40 32\n",
"40 32\n",
"671088640 536870912\n",
"671088640 536870912\n",
"80 64\n",
"80 64\n",
"671088640 536870912\n",
"671088640 536870912\n",
"41943040 33554432\n",
"671088640 536870912\n",
"671088640 536870912\n",
"671088640 536870912\n",
"41943040 33554432\n",
"671088640 536870912\n",
"671088640 536870912\n",
"671088640 536870912\n",
"41943040 33554432\n",
"671088640 536870912\n",
"671088640 536870912\n",
"671088640 536870912\n",
"671088640 536870912\n",
"671088640 536870912\n"
]
} | 2CODEFORCES
|
53_B. Blog Photo_38283 | One popular blog site edits the uploaded photos like this. It cuts a rectangular area out of them so that the ratio of height to width (i.e. the height / width quotient) can vary from 0.8 to 1.25 inclusively. Besides, at least one side of the cut area should have a size, equal to some power of number 2 (2x for some integer x). If those rules don't indicate the size of the cut are clearly, then the way with which the cut part possesses the largest area is chosen. Of course, both sides of the cut area should be integer. If there are several answers to this problem, you should choose the answer with the maximal height.
Input
The first line contains a pair of integers h and w (1 ≤ h, w ≤ 109) which are the height and width of the uploaded photo in pixels.
Output
Print two integers which are the height and width of the cut area.
Examples
Input
2 1
Output
1 1
Input
2 2
Output
2 2
Input
5 5
Output
5 4 | // practice with kaiboy
import java.io.*;
import java.util.*;
public class CF53B extends PrintWriter {
CF53B() { super(System.out, true); }
Scanner sc = new Scanner(System.in);
public static void main(String[] $) {
CF53B o = new CF53B(); o.main(); o.flush();
}
int upper(int n) {
return (int) (n * 5L / 4);
}
void main() {
int n = sc.nextInt();
int m = sc.nextInt();
m = Math.min(m, upper(n));
n = Math.min(n, upper(m));
int l = 0;
while (1 << l + 1 <= n)
l++;
int n1 = 1 << l, m1 = Math.min(m, upper(n1));
l = 0;
while (1 << l + 1 <= m)
l++;
int m2 = 1 << l, n2 = Math.min(n, upper(m2));
long a1 = (long) n1 * m1;
long a2 = (long) n2 * m2;
if (a1 > a2 || a1 == a2 && n1 > n2) {
n = n1; m = m1;
} else {
n = n2; m = m2;
}
println(n + " " + m);
}
}
| 4JAVA
| {
"input": [
"2 1\n",
"2 2\n",
"5 5\n",
"15 13\n",
"9 10\n",
"47 46\n",
"49829224 49889315\n",
"483242 484564\n",
"644590722 593296648\n",
"971840165 826141527\n",
"49728622 49605627\n",
"99692141 99232337\n",
"48298903 49928606\n",
"792322809 775058858\n",
"998557701 924591072\n",
"939 887\n",
"9909199 9945873\n",
"39271 49032\n",
"1000000000 1000000000\n",
"49934587 49239195\n",
"4774 4806\n",
"944976601 976175854\n",
"4939191 4587461\n",
"99 100\n",
"48945079 49798393\n",
"49874820 49474021\n",
"47 56\n",
"39271 49011\n",
"1010000000 1000000000\n",
"101 100\n",
"6 5\n",
"8 10\n",
"40344417 49605627\n",
"9909199 9735441\n",
"51927138 49798393\n",
"1 1\n",
"13 13\n",
"4939191 4455370\n",
"47 54\n",
"100 100\n",
"110 100\n",
"110 110\n",
"100 110\n",
"47 45\n",
"1010000000 1000000010\n",
"1010000000 1000000001\n",
"101 110\n",
"111 100\n",
"111 110\n",
"101 111\n",
"1011000000 1000000010\n",
"100 111\n",
"100 101\n",
"101 101\n",
"49829224 60056281\n",
"1000000010 1000000000\n",
"57455132 49239195\n",
"47 48\n",
"47 57\n",
"1010000000 1001000010\n",
"1010000001 1000000001\n",
"111 101\n",
"111 111\n",
"1011000000 1000001010\n",
"1000000010 1010000000\n",
"57455132 54832111\n",
"1010000001 1000001001\n",
"1011000000 1010001010\n",
"1000000000 1010000000\n",
"57455132 61793242\n",
"1010000001 1000001000\n",
"1011000000 1010001000\n",
"1000000001 1010000000\n",
"52750015 61793242\n",
"1010000001 1000000000\n",
"1011000000 1011001000\n",
"1010000001 1010000000\n",
"1010000101 1000000000\n",
"1010000001 1010100000\n"
],
"output": [
"1 1",
"2 2",
"5 4",
"10 8",
"8 10",
"40 32",
"41943040 33554432",
"327680 262144",
"644590722 536870912",
"671088640 536870912",
"41943040 33554432",
"83886080 67108864",
"41943040 33554432",
"671088640 536870912",
"671088640 536870912",
"640 512",
"8388608 9945873",
"32768 40960",
"671088640 536870912",
"41943040 33554432",
"4096 4806",
"671088640 536870912",
"4939191 4194304",
"80 64",
"41943040 33554432",
"41943040 33554432",
"40 32\n",
"32768 40960\n",
"671088640 536870912\n",
"80 64\n",
"5 4\n",
"8 10\n",
"33554432 41943040\n",
"9909199 8388608\n",
"41943040 33554432\n",
"1 1\n",
"10 8\n",
"4939191 4194304\n",
"40 32\n",
"80 64\n",
"80 64\n",
"80 64\n",
"80 64\n",
"40 32\n",
"671088640 536870912\n",
"671088640 536870912\n",
"80 64\n",
"80 64\n",
"80 64\n",
"80 64\n",
"671088640 536870912\n",
"80 64\n",
"80 64\n",
"80 64\n",
"41943040 33554432\n",
"671088640 536870912\n",
"41943040 33554432\n",
"40 32\n",
"40 32\n",
"671088640 536870912\n",
"671088640 536870912\n",
"80 64\n",
"80 64\n",
"671088640 536870912\n",
"671088640 536870912\n",
"41943040 33554432\n",
"671088640 536870912\n",
"671088640 536870912\n",
"671088640 536870912\n",
"41943040 33554432\n",
"671088640 536870912\n",
"671088640 536870912\n",
"671088640 536870912\n",
"41943040 33554432\n",
"671088640 536870912\n",
"671088640 536870912\n",
"671088640 536870912\n",
"671088640 536870912\n",
"671088640 536870912\n"
]
} | 2CODEFORCES
|
567_D. One-Dimensional Battle Ships_38284 | Alice and Bob love playing one-dimensional battle ships. They play on the field in the form of a line consisting of n square cells (that is, on a 1 × n table).
At the beginning of the game Alice puts k ships on the field without telling their positions to Bob. Each ship looks as a 1 × a rectangle (that is, it occupies a sequence of a consecutive squares of the field). The ships cannot intersect and even touch each other.
After that Bob makes a sequence of "shots". He names cells of the field and Alice either says that the cell is empty ("miss"), or that the cell belongs to some ship ("hit").
But here's the problem! Alice like to cheat. May be that is why she responds to each Bob's move with a "miss".
Help Bob catch Alice cheating — find Bob's first move, such that after it you can be sure that Alice cheated.
Input
The first line of the input contains three integers: n, k and a (1 ≤ n, k, a ≤ 2·105) — the size of the field, the number of the ships and the size of each ship. It is guaranteed that the n, k and a are such that you can put k ships of size a on the field, so that no two ships intersect or touch each other.
The second line contains integer m (1 ≤ m ≤ n) — the number of Bob's moves.
The third line contains m distinct integers x1, x2, ..., xm, where xi is the number of the cell where Bob made the i-th shot. The cells are numbered from left to right from 1 to n.
Output
Print a single integer — the number of such Bob's first move, after which you can be sure that Alice lied. Bob's moves are numbered from 1 to m in the order the were made. If the sought move doesn't exist, then print "-1".
Examples
Input
11 3 3
5
4 8 6 1 11
Output
3
Input
5 1 3
2
1 5
Output
-1
Input
5 1 3
1
3
Output
1 | import copy
n,k,a=map(int,raw_input().split())
m=int(raw_input())
l=map(int,raw_input().split())
def maxunit_vs_k(i,k):#i means nanbanme in l
ll=l[:i]
ll.sort()
haba=[]
for j in xrange(len(ll)-1):
haba.append(abs(ll[j+1]-ll[j])-1)
haba.append(abs(ll[0]-1))
haba.append(abs(n-ll[-1]))
maxunit=0
for h in haba:
if h>=a:
h-=a
maxunit+=1
while h>=0:
h-=(a+1)
if h>=0:
maxunit+=1
if maxunit<k:
return False
else:
return True
left=1;right=m
if maxunit_vs_k(m,k)==True:
print -1
else:
x=right/2
while(right-left>1):
if maxunit_vs_k(x,k)==False:
right=x
else:
left=x
x=(right+left)/2
if maxunit_vs_k(left,k):
print left+1
else:
print left | 1Python2
| {
"input": [
"11 3 3\n5\n4 8 6 1 11\n",
"5 1 3\n1\n3\n",
"5 1 3\n2\n1 5\n",
"200000 1 199999\n2\n2 200000\n",
"5000 1660 2\n20\n1 100 18 102 300 81 19 25 44 88 1337 4999 1054 1203 91 16 164 914 1419 1487\n",
"50 1 1\n50\n1 13 21 37 30 48 23 19 6 49 36 14 9 24 44 10 41 28 20 2 15 11 45 3 25 33 50 38 35 47 31 4 12 46 32 8 42 26 5 7 27 16 29 43 39 22 17 34 40 18\n",
"200000 1 199999\n2\n1 200000\n",
"200000 1 200000\n1\n200000\n",
"200000 1 200000\n1\n1\n",
"50 7 3\n50\n17 47 1 12 21 25 6 5 49 27 34 8 16 38 11 44 48 9 2 20 3 22 33 23 36 41 15 35 31 30 50 7 45 42 37 29 14 26 24 46 19 4 10 28 18 43 32 39 40 13\n",
"200000 1 199999\n2\n200000 1\n",
"10 2 4\n2\n5 6\n",
"200000 100000 1\n1\n31618\n",
"5000 1000 2\n3\n1000 2000 3000\n",
"10 2 4\n3\n5 6 1\n",
"4 2 1\n2\n1 3\n",
"4 2 1\n2\n1 2\n",
"50 7 3\n20\n24 18 34 32 44 2 5 40 17 48 31 45 8 6 15 27 26 1 20 10\n",
"1 1 1\n1\n1\n",
"5000 1660 2\n20\n1 100 18 102 300 81 19 25 44 88 1337 4999 1054 1203 91 16 70 914 1419 1487\n",
"200000 1 119175\n2\n1 200000\n",
"200000 1 200000\n1\n2\n",
"9 2 4\n2\n5 6\n",
"50 7 3\n20\n24 18 34 32 44 2 5 40 17 48 31 45 8 12 15 27 26 1 20 10\n",
"11 3 3\n5\n4 8 7 1 11\n",
"5000 1660 2\n20\n1 100 18 102 300 81 19 25 68 88 90 4999 1054 366 91 16 70 914 1419 1487\n",
"5000 1660 2\n20\n1 100 18 102 300 81 19 25 44 88 1337 4999 1054 1203 91 16 164 955 1419 1487\n",
"15 3 3\n5\n4 8 6 1 11\n",
"50 10 3\n20\n24 18 34 32 44 2 5 40 17 48 31 45 8 6 15 32 26 1 20 10\n",
"5000 1001 2\n3\n1000 2000 3000\n",
"2 1 1\n1\n1\n",
"5000 1660 2\n20\n1 100 18 102 300 81 19 25 44 88 90 4999 1054 1203 91 16 70 914 1419 1487\n",
"11 2 4\n2\n5 6\n",
"5000 1001 2\n3\n1000 2741 3000\n",
"50 7 3\n20\n24 18 34 32 44 2 5 40 17 48 31 45 8 12 15 27 43 1 20 10\n",
"2 1 2\n1\n1\n",
"5000 1660 2\n20\n1 100 18 102 300 81 19 25 68 88 90 4999 1054 1203 91 16 70 914 1419 1487\n",
"3 1 2\n1\n1\n",
"5000 1660 2\n20\n1 100 18 102 300 81 19 25 68 88 90 4999 1685 366 91 16 70 914 1419 1487\n",
"5000 1660 2\n20\n1 100 18 102 300 81 19 25 68 88 90 1961 1685 366 91 16 70 914 1419 1487\n",
"5000 1660 2\n20\n1 100 18 102 272 81 19 25 68 88 90 1961 1685 366 91 16 70 914 1419 1487\n",
"5000 1660 2\n20\n1 100 18 102 272 81 19 25 68 88 90 1961 1685 366 91 16 113 914 1419 1487\n",
"5000 1660 2\n20\n1 100 18 102 272 81 19 25 68 88 90 1961 1685 366 91 16 207 914 1419 1487\n",
"5000 1660 2\n20\n1 100 18 102 272 81 19 25 68 88 90 1961 1065 366 91 16 207 914 1419 1487\n",
"5000 1660 2\n20\n1 100 18 102 272 81 19 25 68 88 90 1961 1065 366 91 16 207 914 1419 2892\n",
"5000 1660 2\n20\n1 100 18 102 272 81 19 25 68 67 90 1961 1065 366 91 16 207 914 1419 2892\n",
"200000 1 166087\n1\n200000\n",
"200000 1 112231\n1\n1\n",
"200000 0 199999\n2\n200000 1\n",
"10 2 2\n2\n5 6\n",
"5000 0000 2\n3\n1000 2000 3000\n",
"8 2 1\n2\n1 3\n",
"50 7 3\n20\n24 18 34 32 44 2 5 40 17 48 31 45 8 6 15 32 26 1 20 10\n",
"5 1 3\n1\n2\n",
"5 1 1\n2\n1 5\n",
"5000 1660 2\n20\n1 100 18 102 300 81 19 25 44 88 500 4999 1054 1203 91 16 70 914 1419 1487\n",
"200000 1 192534\n2\n1 200000\n",
"17 2 4\n2\n5 6\n",
"5000 1001 2\n3\n1000 2041 3000\n",
"11 3 3\n5\n4 2 7 1 11\n",
"5000 1001 2\n3\n1000 2741 140\n",
"50 7 3\n20\n24 18 34 46 44 2 5 40 17 48 31 45 8 12 15 27 43 1 20 10\n",
"5000 1660 2\n20\n1 100 18 102 300 81 19 25 68 88 90 4999 326 1203 91 16 70 914 1419 1487\n",
"5 1 2\n1\n1\n",
"5000 1660 2\n20\n1 100 18 102 300 81 19 25 79 88 90 4999 1054 366 91 16 70 914 1419 1487\n",
"5000 1660 2\n20\n1 100 18 102 300 81 19 25 68 88 90 4999 3143 366 91 16 70 914 1419 1487\n",
"5000 297 2\n20\n1 100 18 102 300 81 19 25 68 88 90 1961 1685 366 91 16 70 914 1419 1487\n",
"5000 1660 2\n20\n1 100 18 102 272 81 19 25 68 88 32 1961 1685 366 91 16 113 914 1419 1487\n",
"5000 1660 2\n20\n1 100 18 102 272 81 19 25 68 59 90 1961 1685 366 91 16 207 914 1419 1487\n",
"5000 1660 2\n20\n1 100 18 102 272 81 19 34 68 88 90 1961 1065 366 91 16 207 914 1419 1487\n",
"5000 1660 2\n20\n1 100 18 102 272 81 19 25 68 88 90 1961 1065 542 91 16 207 914 1419 2892\n",
"5000 1660 2\n20\n2 100 18 102 272 81 19 25 68 67 90 1961 1065 366 91 16 207 914 1419 2892\n",
"5000 1660 2\n20\n1 100 18 102 300 81 19 25 44 88 1337 4999 1054 1203 91 16 164 955 1648 1487\n",
"200000 1 166087\n1\n71282\n",
"10 2 2\n2\n5 1\n",
"11 2 1\n2\n1 3\n",
"5 1 3\n1\n1\n",
"5000 1660 2\n20\n1 100 18 102 300 29 19 25 44 88 500 4999 1054 1203 91 16 70 914 1419 1487\n"
],
"output": [
"3\n",
"1\n",
"-1\n",
"1\n",
"18\n",
"50\n",
"2\n",
"1\n",
"1\n",
"19\n",
"2\n",
"-1\n",
"-1\n",
"-1\n",
"3\n",
"-1\n",
"2\n",
"13\n",
"1\n",
"18\n",
"-1\n",
"1\n",
"2\n",
"13\n",
"3\n",
"19\n",
"20\n",
"4\n",
"7\n",
"-1\n",
"-1\n",
"18\n",
"-1\n",
"-1\n",
"13\n",
"1\n",
"18\n",
"-1\n",
"19\n",
"-1\n",
"19\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"13\n",
"-1\n",
"-1\n",
"20\n",
"-1\n",
"-1\n",
"-1\n",
"2\n",
"-1\n",
"13\n",
"20\n",
"-1\n",
"20\n",
"19\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n"
]
} | 2CODEFORCES
|
567_D. One-Dimensional Battle Ships_38285 | Alice and Bob love playing one-dimensional battle ships. They play on the field in the form of a line consisting of n square cells (that is, on a 1 × n table).
At the beginning of the game Alice puts k ships on the field without telling their positions to Bob. Each ship looks as a 1 × a rectangle (that is, it occupies a sequence of a consecutive squares of the field). The ships cannot intersect and even touch each other.
After that Bob makes a sequence of "shots". He names cells of the field and Alice either says that the cell is empty ("miss"), or that the cell belongs to some ship ("hit").
But here's the problem! Alice like to cheat. May be that is why she responds to each Bob's move with a "miss".
Help Bob catch Alice cheating — find Bob's first move, such that after it you can be sure that Alice cheated.
Input
The first line of the input contains three integers: n, k and a (1 ≤ n, k, a ≤ 2·105) — the size of the field, the number of the ships and the size of each ship. It is guaranteed that the n, k and a are such that you can put k ships of size a on the field, so that no two ships intersect or touch each other.
The second line contains integer m (1 ≤ m ≤ n) — the number of Bob's moves.
The third line contains m distinct integers x1, x2, ..., xm, where xi is the number of the cell where Bob made the i-th shot. The cells are numbered from left to right from 1 to n.
Output
Print a single integer — the number of such Bob's first move, after which you can be sure that Alice lied. Bob's moves are numbered from 1 to m in the order the were made. If the sought move doesn't exist, then print "-1".
Examples
Input
11 3 3
5
4 8 6 1 11
Output
3
Input
5 1 3
2
1 5
Output
-1
Input
5 1 3
1
3
Output
1 | #include <bits/stdc++.h>
using namespace std;
int T, t, n, k, a, m, maxn;
int tree[200010], x[200010];
bool vis[200010];
int lowbit(int x) { return x & (-x); }
void update(int x, int num) {
for (; x <= n; x += lowbit(x)) tree[x] += num;
}
int query(int x) {
int ret = 0;
for (; x > 0; x -= lowbit(x)) ret += tree[x];
return ret;
}
int fen1(int pos) {
int i, j, k, l, r, mi;
l = 1;
r = pos;
while (l < r) {
mi = (l + r) / 2;
if (query(pos) - query(mi - 1) == pos - mi + 1)
r = mi;
else
l = mi + 1;
}
return l;
}
int fen2(int pos) {
int i, j, k, l, r, mi;
l = pos;
r = n;
while (l < r) {
mi = (l + r + 1) / 2;
if (query(mi) - query(pos - 1) == mi - pos + 1)
l = mi;
else
r = mi - 1;
}
return l;
}
void solve() {
int i, j, l, r, len, len1, len2;
scanf("%d%d%d", &n, &k, &a);
maxn = (n + 1) / (a + 1);
scanf("%d", &m);
for (i = 1; i <= m; i++) scanf("%d", &x[i]);
for (i = 1; i <= n; i++) update(i, 1);
for (i = 1; i <= m; i++) {
if (vis[x[i]]) continue;
vis[x[i]] = 1;
l = fen1(x[i]);
r = fen2(x[i]);
update(x[i], -1);
len = r - l + 1;
len1 = x[i] - l;
len2 = r - x[i];
maxn = maxn - (len + 1) / (a + 1) + (len1 + 1) / (a + 1) +
(len2 + 1) / (a + 1);
if (maxn >= k)
continue;
else {
printf("%d\n", i);
return;
}
}
printf("-1\n");
}
int main() { solve(); }
| 2C++
| {
"input": [
"11 3 3\n5\n4 8 6 1 11\n",
"5 1 3\n1\n3\n",
"5 1 3\n2\n1 5\n",
"200000 1 199999\n2\n2 200000\n",
"5000 1660 2\n20\n1 100 18 102 300 81 19 25 44 88 1337 4999 1054 1203 91 16 164 914 1419 1487\n",
"50 1 1\n50\n1 13 21 37 30 48 23 19 6 49 36 14 9 24 44 10 41 28 20 2 15 11 45 3 25 33 50 38 35 47 31 4 12 46 32 8 42 26 5 7 27 16 29 43 39 22 17 34 40 18\n",
"200000 1 199999\n2\n1 200000\n",
"200000 1 200000\n1\n200000\n",
"200000 1 200000\n1\n1\n",
"50 7 3\n50\n17 47 1 12 21 25 6 5 49 27 34 8 16 38 11 44 48 9 2 20 3 22 33 23 36 41 15 35 31 30 50 7 45 42 37 29 14 26 24 46 19 4 10 28 18 43 32 39 40 13\n",
"200000 1 199999\n2\n200000 1\n",
"10 2 4\n2\n5 6\n",
"200000 100000 1\n1\n31618\n",
"5000 1000 2\n3\n1000 2000 3000\n",
"10 2 4\n3\n5 6 1\n",
"4 2 1\n2\n1 3\n",
"4 2 1\n2\n1 2\n",
"50 7 3\n20\n24 18 34 32 44 2 5 40 17 48 31 45 8 6 15 27 26 1 20 10\n",
"1 1 1\n1\n1\n",
"5000 1660 2\n20\n1 100 18 102 300 81 19 25 44 88 1337 4999 1054 1203 91 16 70 914 1419 1487\n",
"200000 1 119175\n2\n1 200000\n",
"200000 1 200000\n1\n2\n",
"9 2 4\n2\n5 6\n",
"50 7 3\n20\n24 18 34 32 44 2 5 40 17 48 31 45 8 12 15 27 26 1 20 10\n",
"11 3 3\n5\n4 8 7 1 11\n",
"5000 1660 2\n20\n1 100 18 102 300 81 19 25 68 88 90 4999 1054 366 91 16 70 914 1419 1487\n",
"5000 1660 2\n20\n1 100 18 102 300 81 19 25 44 88 1337 4999 1054 1203 91 16 164 955 1419 1487\n",
"15 3 3\n5\n4 8 6 1 11\n",
"50 10 3\n20\n24 18 34 32 44 2 5 40 17 48 31 45 8 6 15 32 26 1 20 10\n",
"5000 1001 2\n3\n1000 2000 3000\n",
"2 1 1\n1\n1\n",
"5000 1660 2\n20\n1 100 18 102 300 81 19 25 44 88 90 4999 1054 1203 91 16 70 914 1419 1487\n",
"11 2 4\n2\n5 6\n",
"5000 1001 2\n3\n1000 2741 3000\n",
"50 7 3\n20\n24 18 34 32 44 2 5 40 17 48 31 45 8 12 15 27 43 1 20 10\n",
"2 1 2\n1\n1\n",
"5000 1660 2\n20\n1 100 18 102 300 81 19 25 68 88 90 4999 1054 1203 91 16 70 914 1419 1487\n",
"3 1 2\n1\n1\n",
"5000 1660 2\n20\n1 100 18 102 300 81 19 25 68 88 90 4999 1685 366 91 16 70 914 1419 1487\n",
"5000 1660 2\n20\n1 100 18 102 300 81 19 25 68 88 90 1961 1685 366 91 16 70 914 1419 1487\n",
"5000 1660 2\n20\n1 100 18 102 272 81 19 25 68 88 90 1961 1685 366 91 16 70 914 1419 1487\n",
"5000 1660 2\n20\n1 100 18 102 272 81 19 25 68 88 90 1961 1685 366 91 16 113 914 1419 1487\n",
"5000 1660 2\n20\n1 100 18 102 272 81 19 25 68 88 90 1961 1685 366 91 16 207 914 1419 1487\n",
"5000 1660 2\n20\n1 100 18 102 272 81 19 25 68 88 90 1961 1065 366 91 16 207 914 1419 1487\n",
"5000 1660 2\n20\n1 100 18 102 272 81 19 25 68 88 90 1961 1065 366 91 16 207 914 1419 2892\n",
"5000 1660 2\n20\n1 100 18 102 272 81 19 25 68 67 90 1961 1065 366 91 16 207 914 1419 2892\n",
"200000 1 166087\n1\n200000\n",
"200000 1 112231\n1\n1\n",
"200000 0 199999\n2\n200000 1\n",
"10 2 2\n2\n5 6\n",
"5000 0000 2\n3\n1000 2000 3000\n",
"8 2 1\n2\n1 3\n",
"50 7 3\n20\n24 18 34 32 44 2 5 40 17 48 31 45 8 6 15 32 26 1 20 10\n",
"5 1 3\n1\n2\n",
"5 1 1\n2\n1 5\n",
"5000 1660 2\n20\n1 100 18 102 300 81 19 25 44 88 500 4999 1054 1203 91 16 70 914 1419 1487\n",
"200000 1 192534\n2\n1 200000\n",
"17 2 4\n2\n5 6\n",
"5000 1001 2\n3\n1000 2041 3000\n",
"11 3 3\n5\n4 2 7 1 11\n",
"5000 1001 2\n3\n1000 2741 140\n",
"50 7 3\n20\n24 18 34 46 44 2 5 40 17 48 31 45 8 12 15 27 43 1 20 10\n",
"5000 1660 2\n20\n1 100 18 102 300 81 19 25 68 88 90 4999 326 1203 91 16 70 914 1419 1487\n",
"5 1 2\n1\n1\n",
"5000 1660 2\n20\n1 100 18 102 300 81 19 25 79 88 90 4999 1054 366 91 16 70 914 1419 1487\n",
"5000 1660 2\n20\n1 100 18 102 300 81 19 25 68 88 90 4999 3143 366 91 16 70 914 1419 1487\n",
"5000 297 2\n20\n1 100 18 102 300 81 19 25 68 88 90 1961 1685 366 91 16 70 914 1419 1487\n",
"5000 1660 2\n20\n1 100 18 102 272 81 19 25 68 88 32 1961 1685 366 91 16 113 914 1419 1487\n",
"5000 1660 2\n20\n1 100 18 102 272 81 19 25 68 59 90 1961 1685 366 91 16 207 914 1419 1487\n",
"5000 1660 2\n20\n1 100 18 102 272 81 19 34 68 88 90 1961 1065 366 91 16 207 914 1419 1487\n",
"5000 1660 2\n20\n1 100 18 102 272 81 19 25 68 88 90 1961 1065 542 91 16 207 914 1419 2892\n",
"5000 1660 2\n20\n2 100 18 102 272 81 19 25 68 67 90 1961 1065 366 91 16 207 914 1419 2892\n",
"5000 1660 2\n20\n1 100 18 102 300 81 19 25 44 88 1337 4999 1054 1203 91 16 164 955 1648 1487\n",
"200000 1 166087\n1\n71282\n",
"10 2 2\n2\n5 1\n",
"11 2 1\n2\n1 3\n",
"5 1 3\n1\n1\n",
"5000 1660 2\n20\n1 100 18 102 300 29 19 25 44 88 500 4999 1054 1203 91 16 70 914 1419 1487\n"
],
"output": [
"3\n",
"1\n",
"-1\n",
"1\n",
"18\n",
"50\n",
"2\n",
"1\n",
"1\n",
"19\n",
"2\n",
"-1\n",
"-1\n",
"-1\n",
"3\n",
"-1\n",
"2\n",
"13\n",
"1\n",
"18\n",
"-1\n",
"1\n",
"2\n",
"13\n",
"3\n",
"19\n",
"20\n",
"4\n",
"7\n",
"-1\n",
"-1\n",
"18\n",
"-1\n",
"-1\n",
"13\n",
"1\n",
"18\n",
"-1\n",
"19\n",
"-1\n",
"19\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"13\n",
"-1\n",
"-1\n",
"20\n",
"-1\n",
"-1\n",
"-1\n",
"2\n",
"-1\n",
"13\n",
"20\n",
"-1\n",
"20\n",
"19\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n"
]
} | 2CODEFORCES
|
567_D. One-Dimensional Battle Ships_38286 | Alice and Bob love playing one-dimensional battle ships. They play on the field in the form of a line consisting of n square cells (that is, on a 1 × n table).
At the beginning of the game Alice puts k ships on the field without telling their positions to Bob. Each ship looks as a 1 × a rectangle (that is, it occupies a sequence of a consecutive squares of the field). The ships cannot intersect and even touch each other.
After that Bob makes a sequence of "shots". He names cells of the field and Alice either says that the cell is empty ("miss"), or that the cell belongs to some ship ("hit").
But here's the problem! Alice like to cheat. May be that is why she responds to each Bob's move with a "miss".
Help Bob catch Alice cheating — find Bob's first move, such that after it you can be sure that Alice cheated.
Input
The first line of the input contains three integers: n, k and a (1 ≤ n, k, a ≤ 2·105) — the size of the field, the number of the ships and the size of each ship. It is guaranteed that the n, k and a are such that you can put k ships of size a on the field, so that no two ships intersect or touch each other.
The second line contains integer m (1 ≤ m ≤ n) — the number of Bob's moves.
The third line contains m distinct integers x1, x2, ..., xm, where xi is the number of the cell where Bob made the i-th shot. The cells are numbered from left to right from 1 to n.
Output
Print a single integer — the number of such Bob's first move, after which you can be sure that Alice lied. Bob's moves are numbered from 1 to m in the order the were made. If the sought move doesn't exist, then print "-1".
Examples
Input
11 3 3
5
4 8 6 1 11
Output
3
Input
5 1 3
2
1 5
Output
-1
Input
5 1 3
1
3
Output
1 | import sys
def minp():
return sys.stdin.readline().strip()
def mint():
return int(minp())
def mints():
return map(int, minp().split())
def solve():
n, k, a = mints()
a += 1
m = mint()
x = list(mints())
l = 0
r = m + 1
while r - l > 1:
c = (l + r) // 2
b = x[:c]
b.sort()
last = 0
cnt = 0
for i in b:
if i != last:
cnt += (i-last) // a
last = i
cnt += (n+1-last)//a
if cnt < k:
r = c
else:
l = c
if r == m + 1:
r = -1
print(r)
solve()
| 3Python3
| {
"input": [
"11 3 3\n5\n4 8 6 1 11\n",
"5 1 3\n1\n3\n",
"5 1 3\n2\n1 5\n",
"200000 1 199999\n2\n2 200000\n",
"5000 1660 2\n20\n1 100 18 102 300 81 19 25 44 88 1337 4999 1054 1203 91 16 164 914 1419 1487\n",
"50 1 1\n50\n1 13 21 37 30 48 23 19 6 49 36 14 9 24 44 10 41 28 20 2 15 11 45 3 25 33 50 38 35 47 31 4 12 46 32 8 42 26 5 7 27 16 29 43 39 22 17 34 40 18\n",
"200000 1 199999\n2\n1 200000\n",
"200000 1 200000\n1\n200000\n",
"200000 1 200000\n1\n1\n",
"50 7 3\n50\n17 47 1 12 21 25 6 5 49 27 34 8 16 38 11 44 48 9 2 20 3 22 33 23 36 41 15 35 31 30 50 7 45 42 37 29 14 26 24 46 19 4 10 28 18 43 32 39 40 13\n",
"200000 1 199999\n2\n200000 1\n",
"10 2 4\n2\n5 6\n",
"200000 100000 1\n1\n31618\n",
"5000 1000 2\n3\n1000 2000 3000\n",
"10 2 4\n3\n5 6 1\n",
"4 2 1\n2\n1 3\n",
"4 2 1\n2\n1 2\n",
"50 7 3\n20\n24 18 34 32 44 2 5 40 17 48 31 45 8 6 15 27 26 1 20 10\n",
"1 1 1\n1\n1\n",
"5000 1660 2\n20\n1 100 18 102 300 81 19 25 44 88 1337 4999 1054 1203 91 16 70 914 1419 1487\n",
"200000 1 119175\n2\n1 200000\n",
"200000 1 200000\n1\n2\n",
"9 2 4\n2\n5 6\n",
"50 7 3\n20\n24 18 34 32 44 2 5 40 17 48 31 45 8 12 15 27 26 1 20 10\n",
"11 3 3\n5\n4 8 7 1 11\n",
"5000 1660 2\n20\n1 100 18 102 300 81 19 25 68 88 90 4999 1054 366 91 16 70 914 1419 1487\n",
"5000 1660 2\n20\n1 100 18 102 300 81 19 25 44 88 1337 4999 1054 1203 91 16 164 955 1419 1487\n",
"15 3 3\n5\n4 8 6 1 11\n",
"50 10 3\n20\n24 18 34 32 44 2 5 40 17 48 31 45 8 6 15 32 26 1 20 10\n",
"5000 1001 2\n3\n1000 2000 3000\n",
"2 1 1\n1\n1\n",
"5000 1660 2\n20\n1 100 18 102 300 81 19 25 44 88 90 4999 1054 1203 91 16 70 914 1419 1487\n",
"11 2 4\n2\n5 6\n",
"5000 1001 2\n3\n1000 2741 3000\n",
"50 7 3\n20\n24 18 34 32 44 2 5 40 17 48 31 45 8 12 15 27 43 1 20 10\n",
"2 1 2\n1\n1\n",
"5000 1660 2\n20\n1 100 18 102 300 81 19 25 68 88 90 4999 1054 1203 91 16 70 914 1419 1487\n",
"3 1 2\n1\n1\n",
"5000 1660 2\n20\n1 100 18 102 300 81 19 25 68 88 90 4999 1685 366 91 16 70 914 1419 1487\n",
"5000 1660 2\n20\n1 100 18 102 300 81 19 25 68 88 90 1961 1685 366 91 16 70 914 1419 1487\n",
"5000 1660 2\n20\n1 100 18 102 272 81 19 25 68 88 90 1961 1685 366 91 16 70 914 1419 1487\n",
"5000 1660 2\n20\n1 100 18 102 272 81 19 25 68 88 90 1961 1685 366 91 16 113 914 1419 1487\n",
"5000 1660 2\n20\n1 100 18 102 272 81 19 25 68 88 90 1961 1685 366 91 16 207 914 1419 1487\n",
"5000 1660 2\n20\n1 100 18 102 272 81 19 25 68 88 90 1961 1065 366 91 16 207 914 1419 1487\n",
"5000 1660 2\n20\n1 100 18 102 272 81 19 25 68 88 90 1961 1065 366 91 16 207 914 1419 2892\n",
"5000 1660 2\n20\n1 100 18 102 272 81 19 25 68 67 90 1961 1065 366 91 16 207 914 1419 2892\n",
"200000 1 166087\n1\n200000\n",
"200000 1 112231\n1\n1\n",
"200000 0 199999\n2\n200000 1\n",
"10 2 2\n2\n5 6\n",
"5000 0000 2\n3\n1000 2000 3000\n",
"8 2 1\n2\n1 3\n",
"50 7 3\n20\n24 18 34 32 44 2 5 40 17 48 31 45 8 6 15 32 26 1 20 10\n",
"5 1 3\n1\n2\n",
"5 1 1\n2\n1 5\n",
"5000 1660 2\n20\n1 100 18 102 300 81 19 25 44 88 500 4999 1054 1203 91 16 70 914 1419 1487\n",
"200000 1 192534\n2\n1 200000\n",
"17 2 4\n2\n5 6\n",
"5000 1001 2\n3\n1000 2041 3000\n",
"11 3 3\n5\n4 2 7 1 11\n",
"5000 1001 2\n3\n1000 2741 140\n",
"50 7 3\n20\n24 18 34 46 44 2 5 40 17 48 31 45 8 12 15 27 43 1 20 10\n",
"5000 1660 2\n20\n1 100 18 102 300 81 19 25 68 88 90 4999 326 1203 91 16 70 914 1419 1487\n",
"5 1 2\n1\n1\n",
"5000 1660 2\n20\n1 100 18 102 300 81 19 25 79 88 90 4999 1054 366 91 16 70 914 1419 1487\n",
"5000 1660 2\n20\n1 100 18 102 300 81 19 25 68 88 90 4999 3143 366 91 16 70 914 1419 1487\n",
"5000 297 2\n20\n1 100 18 102 300 81 19 25 68 88 90 1961 1685 366 91 16 70 914 1419 1487\n",
"5000 1660 2\n20\n1 100 18 102 272 81 19 25 68 88 32 1961 1685 366 91 16 113 914 1419 1487\n",
"5000 1660 2\n20\n1 100 18 102 272 81 19 25 68 59 90 1961 1685 366 91 16 207 914 1419 1487\n",
"5000 1660 2\n20\n1 100 18 102 272 81 19 34 68 88 90 1961 1065 366 91 16 207 914 1419 1487\n",
"5000 1660 2\n20\n1 100 18 102 272 81 19 25 68 88 90 1961 1065 542 91 16 207 914 1419 2892\n",
"5000 1660 2\n20\n2 100 18 102 272 81 19 25 68 67 90 1961 1065 366 91 16 207 914 1419 2892\n",
"5000 1660 2\n20\n1 100 18 102 300 81 19 25 44 88 1337 4999 1054 1203 91 16 164 955 1648 1487\n",
"200000 1 166087\n1\n71282\n",
"10 2 2\n2\n5 1\n",
"11 2 1\n2\n1 3\n",
"5 1 3\n1\n1\n",
"5000 1660 2\n20\n1 100 18 102 300 29 19 25 44 88 500 4999 1054 1203 91 16 70 914 1419 1487\n"
],
"output": [
"3\n",
"1\n",
"-1\n",
"1\n",
"18\n",
"50\n",
"2\n",
"1\n",
"1\n",
"19\n",
"2\n",
"-1\n",
"-1\n",
"-1\n",
"3\n",
"-1\n",
"2\n",
"13\n",
"1\n",
"18\n",
"-1\n",
"1\n",
"2\n",
"13\n",
"3\n",
"19\n",
"20\n",
"4\n",
"7\n",
"-1\n",
"-1\n",
"18\n",
"-1\n",
"-1\n",
"13\n",
"1\n",
"18\n",
"-1\n",
"19\n",
"-1\n",
"19\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"13\n",
"-1\n",
"-1\n",
"20\n",
"-1\n",
"-1\n",
"-1\n",
"2\n",
"-1\n",
"13\n",
"20\n",
"-1\n",
"20\n",
"19\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n"
]
} | 2CODEFORCES
|
567_D. One-Dimensional Battle Ships_38287 | Alice and Bob love playing one-dimensional battle ships. They play on the field in the form of a line consisting of n square cells (that is, on a 1 × n table).
At the beginning of the game Alice puts k ships on the field without telling their positions to Bob. Each ship looks as a 1 × a rectangle (that is, it occupies a sequence of a consecutive squares of the field). The ships cannot intersect and even touch each other.
After that Bob makes a sequence of "shots". He names cells of the field and Alice either says that the cell is empty ("miss"), or that the cell belongs to some ship ("hit").
But here's the problem! Alice like to cheat. May be that is why she responds to each Bob's move with a "miss".
Help Bob catch Alice cheating — find Bob's first move, such that after it you can be sure that Alice cheated.
Input
The first line of the input contains three integers: n, k and a (1 ≤ n, k, a ≤ 2·105) — the size of the field, the number of the ships and the size of each ship. It is guaranteed that the n, k and a are such that you can put k ships of size a on the field, so that no two ships intersect or touch each other.
The second line contains integer m (1 ≤ m ≤ n) — the number of Bob's moves.
The third line contains m distinct integers x1, x2, ..., xm, where xi is the number of the cell where Bob made the i-th shot. The cells are numbered from left to right from 1 to n.
Output
Print a single integer — the number of such Bob's first move, after which you can be sure that Alice lied. Bob's moves are numbered from 1 to m in the order the were made. If the sought move doesn't exist, then print "-1".
Examples
Input
11 3 3
5
4 8 6 1 11
Output
3
Input
5 1 3
2
1 5
Output
-1
Input
5 1 3
1
3
Output
1 | import java.io.BufferedReader;
import java.io.BufferedWriter;
import java.io.IOException;
import java.io.InputStream;
import java.io.InputStreamReader;
import java.io.OutputStream;
import java.io.OutputStreamWriter;
import java.io.PrintWriter;
import java.util.StringTokenizer;
import java.util.TreeMap;
import java.util.TreeSet;
public class Main {
public static void main(String[] args) throws IOException {
InputStream inputStream = System.in;
OutputStream outputStream = System.out;
// InputStream inputStream = new FileInputStream("joke.in");
// OutputStream outputStream = new FileOutputStream("joke.out");
InputReader in = new InputReader(inputStream);
OutputWriter out = new OutputWriter(outputStream);
TaskB solver = new TaskB();
solver.solve(in, out);
out.close();
}
}
class TaskB {
public void solve(InputReader in, OutputWriter out) {
n = in.nextInt();
k = in.nextInt();
a = in.nextInt();
int m = in.nextInt();
int cnt = f(n);
TreeSet<Segment> set = new TreeSet<Segment>();
set.add(new Segment(1, n));
for (int i = 0; i < m; i++) {
int x = in.nextInt();
Segment s = new Segment(x, x);
Segment seg = set.floor(s);
//if(seg==null) continue;
cnt -= f(seg.r - seg.l + 1);
set.remove(seg);
if (seg.l < x) {
cnt += f(x - seg.l);
set.add(new Segment(seg.l, x - 1));
}
if (seg.r > x) {
cnt += f(seg.r - x);
set.add(new Segment(x + 1, seg.r));
}
if(cnt<k){
out.write(i+1);
return;
}
}
out.write(-1);
}
int n, k, a;
int f(int len) {
int ans = len / (a + 1);
if (len % (a + 1) == a)
ans++;
return ans;
}
}
class Segment implements Comparable<Segment> {
public Segment(int l, int r) {
this.l = l;
this.r = r;
}
public int compareTo(Segment s) {
return l-s.l;
}
int l, r;
}
class InputReader {
BufferedReader reader;
StringTokenizer tokenizer;
public InputReader(InputStream stream) {
tokenizer = null;
reader = new BufferedReader(new InputStreamReader(stream));
}
public String next() {
while (tokenizer == null || !tokenizer.hasMoreTokens()) {
try {
tokenizer = new StringTokenizer(reader.readLine());
} catch (IOException e) {
throw new RuntimeException();
}
}
return tokenizer.nextToken();
}
public String nextLine() {
tokenizer = null;
try {
return reader.readLine();
} catch (IOException e) {
throw new RuntimeException();
}
}
public int nextInt() {
return Integer.parseInt(next());
}
public long nextLong() {
return Long.parseLong(next());
}
public double nextDouble() {
return Double.parseDouble(next());
}
public int[] nextIntArray(int n) {
int[] res = new int[n];
for (int i = 0; i < n; i++)
res[i] = nextInt();
return res;
}
}
class OutputWriter {
PrintWriter out;
public OutputWriter(OutputStream stream) {
out = new PrintWriter(
new BufferedWriter(new OutputStreamWriter(stream)));
}
public void write(Object... o) {
for (Object cur : o)
out.print(cur);
}
public void writeln(Object... o) {
write(o);
out.println();
}
public void flush() {
out.flush();
}
public void close() {
out.close();
}
}
| 4JAVA
| {
"input": [
"11 3 3\n5\n4 8 6 1 11\n",
"5 1 3\n1\n3\n",
"5 1 3\n2\n1 5\n",
"200000 1 199999\n2\n2 200000\n",
"5000 1660 2\n20\n1 100 18 102 300 81 19 25 44 88 1337 4999 1054 1203 91 16 164 914 1419 1487\n",
"50 1 1\n50\n1 13 21 37 30 48 23 19 6 49 36 14 9 24 44 10 41 28 20 2 15 11 45 3 25 33 50 38 35 47 31 4 12 46 32 8 42 26 5 7 27 16 29 43 39 22 17 34 40 18\n",
"200000 1 199999\n2\n1 200000\n",
"200000 1 200000\n1\n200000\n",
"200000 1 200000\n1\n1\n",
"50 7 3\n50\n17 47 1 12 21 25 6 5 49 27 34 8 16 38 11 44 48 9 2 20 3 22 33 23 36 41 15 35 31 30 50 7 45 42 37 29 14 26 24 46 19 4 10 28 18 43 32 39 40 13\n",
"200000 1 199999\n2\n200000 1\n",
"10 2 4\n2\n5 6\n",
"200000 100000 1\n1\n31618\n",
"5000 1000 2\n3\n1000 2000 3000\n",
"10 2 4\n3\n5 6 1\n",
"4 2 1\n2\n1 3\n",
"4 2 1\n2\n1 2\n",
"50 7 3\n20\n24 18 34 32 44 2 5 40 17 48 31 45 8 6 15 27 26 1 20 10\n",
"1 1 1\n1\n1\n",
"5000 1660 2\n20\n1 100 18 102 300 81 19 25 44 88 1337 4999 1054 1203 91 16 70 914 1419 1487\n",
"200000 1 119175\n2\n1 200000\n",
"200000 1 200000\n1\n2\n",
"9 2 4\n2\n5 6\n",
"50 7 3\n20\n24 18 34 32 44 2 5 40 17 48 31 45 8 12 15 27 26 1 20 10\n",
"11 3 3\n5\n4 8 7 1 11\n",
"5000 1660 2\n20\n1 100 18 102 300 81 19 25 68 88 90 4999 1054 366 91 16 70 914 1419 1487\n",
"5000 1660 2\n20\n1 100 18 102 300 81 19 25 44 88 1337 4999 1054 1203 91 16 164 955 1419 1487\n",
"15 3 3\n5\n4 8 6 1 11\n",
"50 10 3\n20\n24 18 34 32 44 2 5 40 17 48 31 45 8 6 15 32 26 1 20 10\n",
"5000 1001 2\n3\n1000 2000 3000\n",
"2 1 1\n1\n1\n",
"5000 1660 2\n20\n1 100 18 102 300 81 19 25 44 88 90 4999 1054 1203 91 16 70 914 1419 1487\n",
"11 2 4\n2\n5 6\n",
"5000 1001 2\n3\n1000 2741 3000\n",
"50 7 3\n20\n24 18 34 32 44 2 5 40 17 48 31 45 8 12 15 27 43 1 20 10\n",
"2 1 2\n1\n1\n",
"5000 1660 2\n20\n1 100 18 102 300 81 19 25 68 88 90 4999 1054 1203 91 16 70 914 1419 1487\n",
"3 1 2\n1\n1\n",
"5000 1660 2\n20\n1 100 18 102 300 81 19 25 68 88 90 4999 1685 366 91 16 70 914 1419 1487\n",
"5000 1660 2\n20\n1 100 18 102 300 81 19 25 68 88 90 1961 1685 366 91 16 70 914 1419 1487\n",
"5000 1660 2\n20\n1 100 18 102 272 81 19 25 68 88 90 1961 1685 366 91 16 70 914 1419 1487\n",
"5000 1660 2\n20\n1 100 18 102 272 81 19 25 68 88 90 1961 1685 366 91 16 113 914 1419 1487\n",
"5000 1660 2\n20\n1 100 18 102 272 81 19 25 68 88 90 1961 1685 366 91 16 207 914 1419 1487\n",
"5000 1660 2\n20\n1 100 18 102 272 81 19 25 68 88 90 1961 1065 366 91 16 207 914 1419 1487\n",
"5000 1660 2\n20\n1 100 18 102 272 81 19 25 68 88 90 1961 1065 366 91 16 207 914 1419 2892\n",
"5000 1660 2\n20\n1 100 18 102 272 81 19 25 68 67 90 1961 1065 366 91 16 207 914 1419 2892\n",
"200000 1 166087\n1\n200000\n",
"200000 1 112231\n1\n1\n",
"200000 0 199999\n2\n200000 1\n",
"10 2 2\n2\n5 6\n",
"5000 0000 2\n3\n1000 2000 3000\n",
"8 2 1\n2\n1 3\n",
"50 7 3\n20\n24 18 34 32 44 2 5 40 17 48 31 45 8 6 15 32 26 1 20 10\n",
"5 1 3\n1\n2\n",
"5 1 1\n2\n1 5\n",
"5000 1660 2\n20\n1 100 18 102 300 81 19 25 44 88 500 4999 1054 1203 91 16 70 914 1419 1487\n",
"200000 1 192534\n2\n1 200000\n",
"17 2 4\n2\n5 6\n",
"5000 1001 2\n3\n1000 2041 3000\n",
"11 3 3\n5\n4 2 7 1 11\n",
"5000 1001 2\n3\n1000 2741 140\n",
"50 7 3\n20\n24 18 34 46 44 2 5 40 17 48 31 45 8 12 15 27 43 1 20 10\n",
"5000 1660 2\n20\n1 100 18 102 300 81 19 25 68 88 90 4999 326 1203 91 16 70 914 1419 1487\n",
"5 1 2\n1\n1\n",
"5000 1660 2\n20\n1 100 18 102 300 81 19 25 79 88 90 4999 1054 366 91 16 70 914 1419 1487\n",
"5000 1660 2\n20\n1 100 18 102 300 81 19 25 68 88 90 4999 3143 366 91 16 70 914 1419 1487\n",
"5000 297 2\n20\n1 100 18 102 300 81 19 25 68 88 90 1961 1685 366 91 16 70 914 1419 1487\n",
"5000 1660 2\n20\n1 100 18 102 272 81 19 25 68 88 32 1961 1685 366 91 16 113 914 1419 1487\n",
"5000 1660 2\n20\n1 100 18 102 272 81 19 25 68 59 90 1961 1685 366 91 16 207 914 1419 1487\n",
"5000 1660 2\n20\n1 100 18 102 272 81 19 34 68 88 90 1961 1065 366 91 16 207 914 1419 1487\n",
"5000 1660 2\n20\n1 100 18 102 272 81 19 25 68 88 90 1961 1065 542 91 16 207 914 1419 2892\n",
"5000 1660 2\n20\n2 100 18 102 272 81 19 25 68 67 90 1961 1065 366 91 16 207 914 1419 2892\n",
"5000 1660 2\n20\n1 100 18 102 300 81 19 25 44 88 1337 4999 1054 1203 91 16 164 955 1648 1487\n",
"200000 1 166087\n1\n71282\n",
"10 2 2\n2\n5 1\n",
"11 2 1\n2\n1 3\n",
"5 1 3\n1\n1\n",
"5000 1660 2\n20\n1 100 18 102 300 29 19 25 44 88 500 4999 1054 1203 91 16 70 914 1419 1487\n"
],
"output": [
"3\n",
"1\n",
"-1\n",
"1\n",
"18\n",
"50\n",
"2\n",
"1\n",
"1\n",
"19\n",
"2\n",
"-1\n",
"-1\n",
"-1\n",
"3\n",
"-1\n",
"2\n",
"13\n",
"1\n",
"18\n",
"-1\n",
"1\n",
"2\n",
"13\n",
"3\n",
"19\n",
"20\n",
"4\n",
"7\n",
"-1\n",
"-1\n",
"18\n",
"-1\n",
"-1\n",
"13\n",
"1\n",
"18\n",
"-1\n",
"19\n",
"-1\n",
"19\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"13\n",
"-1\n",
"-1\n",
"20\n",
"-1\n",
"-1\n",
"-1\n",
"2\n",
"-1\n",
"13\n",
"20\n",
"-1\n",
"20\n",
"19\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n",
"1\n",
"-1\n",
"-1\n",
"-1\n",
"-1\n"
]
} | 2CODEFORCES
|
588_F. Duff in Mafia_38288 | Duff is one if the heads of Mafia in her country, Andarz Gu. Andarz Gu has n cities (numbered from 1 to n) connected by m bidirectional roads (numbered by 1 to m).
Each road has a destructing time, and a color. i-th road connects cities vi and ui and its color is ci and its destructing time is ti.
Mafia wants to destruct a matching in Andarz Gu. A matching is a subset of roads such that no two roads in this subset has common endpoint. They can destruct these roads in parallel, i. e. the total destruction time is a maximum over destruction times of all selected roads.
<image>
They want two conditions to be satisfied:
1. The remaining roads form a proper coloring.
2. Destructing time of this matching is minimized.
The remaining roads after destructing this matching form a proper coloring if and only if no two roads of the same color have same endpoint, or, in the other words, edges of each color should form a matching.
There is no programmer in Mafia. That's why Duff asked for your help. Please help her and determine which matching to destruct in order to satisfied those conditions (or state that this is not possible).
Input
The first line of input contains two integers n and m (2 ≤ n ≤ 5 × 104 and 1 ≤ m ≤ 5 × 104), number of cities and number of roads in the country.
The next m lines contain the the roads. i - th of them contains four integers vi, ui, ci and ti (1 ≤ vi, ui ≤ n, vi ≠ ui and 1 ≤ ci, ti ≤ 109 for each 1 ≤ i ≤ m).
Output
In the first line of input, print "Yes" (without quotes) if satisfying the first condition is possible and "No" (without quotes) otherwise.
If it is possible, then you have to print two integers t and k in the second line, the minimum destructing time and the number of roads in the matching (<image>).
In the third line print k distinct integers separated by spaces, indices of the roads in the matching in any order. Roads are numbered starting from one in order of their appearance in the input.
If there's more than one solution, print any of them.
Examples
Input
5 7
2 1 3 7
3 1 1 6
5 4 1 8
4 5 1 1
3 2 2 3
4 5 2 5
2 3 2 4
Output
Yes
3 2
4 5
Input
3 5
3 2 1 3
1 3 1 1
3 2 1 4
1 3 2 2
1 3 2 10
Output
No
Note
Graph of Andarz Gu in the first sample case is as follows:
<image>
A solution would be to destruct the roads with crosses.
Graph of Andarz Gu in the second sample case is as follows:
<image> | #include <bits/stdc++.h>
using namespace std;
const int MAX_BUF_SIZE = 16384;
char BUFOR[MAX_BUF_SIZE];
int BUF_SIZE, BUF_POS;
char ZZZ;
const int MXN = 6 * 50010;
const int C = 262144;
const int INF = 1000000001;
namespace SAT2 {
vector<int> G[MXN], GT[MXN], H[MXN], vert[MXN];
int pre[MXN], skl[MXN];
vector<int> fu;
class SAT2 {
SAT2() {}
int n, czas, skla;
int neg(int v1) { return (v1 + n) % (2 * n); }
void addEdge(int v1, int v2) {
G[neg(v1)].push_back(v2);
GT[v2].push_back(neg(v1));
G[neg(v2)].push_back(v1);
GT[v1].push_back(neg(v2));
}
void dfs(int x) {
pre[x] = ++czas;
for (__typeof((G[x]).begin()) it = ((G[x]).begin()); it != (G[x]).end();
++it)
if (!pre[*it]) dfs(*it);
fu.push_back(x);
}
void dfs2(int x) {
skl[x] = skla;
vert[skla].push_back(x);
for (__typeof((GT[x]).begin()) it = ((GT[x]).begin()); it != (GT[x]).end();
++it)
if (!skl[*it]) dfs2(*it);
}
void dfs3(int x) {
pre[x] = 1;
for (__typeof((H[x]).begin()) it = ((H[x]).begin()); it != (H[x]).end();
++it)
if (!pre[*it]) dfs3(*it);
fu.push_back(x);
}
void clear() {
fu.clear();
for (int i = (0); i <= (2 * n); i++) pre[i] = skl[i] = 0;
for (int i = (0); i <= (2 * n); i++) {
G[i].clear();
GT[i].clear();
vert[i].clear();
H[i].clear();
}
}
public:
SAT2(int _n) {
czas = 0;
skla = 0;
n = _n;
}
void add(int v1, bool pos1, int v2, bool pos2) {
addEdge((pos1 ? neg(v1) : v1), (pos2 ? neg(v2) : v2));
}
pair<bool, vector<bool> > solve() {
for (int i = (0); i <= (2 * n - 1); i++)
if (!pre[i]) dfs(i);
for (int i = ((int)(fu).size() - 1); i >= (0); i--) {
int w = fu[i];
if (!skl[w]) {
skla++;
dfs2(w);
}
}
skla++;
for (int i = (0); i <= (n - 1); i++)
if (skl[i] == skl[i + n]) {
clear();
return make_pair(false, vector<bool>());
}
for (int i = (0); i <= (2 * n - 1); i++) {
for (__typeof((G[i]).begin()) it = ((G[i]).begin()); it != (G[i]).end();
++it)
H[skl[i]].push_back(skl[*it]);
}
fu.clear();
for (int i = (0); i <= (skla); i++) pre[i] = 0;
for (int i = (0); i <= (skla - 1); i++)
if (!pre[i]) dfs3(i);
vector<bool> res(2 * n, 0);
vector<int> tmp(skla + 1, -1);
for (int i = ((int)(fu).size() - 1); i >= (0); i--) {
int w = fu[i];
if (tmp[w] == -1) tmp[w] = 0;
if (tmp[w] == 1)
for (__typeof((H[w]).begin()) it = ((H[w]).begin()); it != (H[w]).end();
++it)
tmp[*it] = 1;
for (__typeof((vert[w]).begin()) it = ((vert[w]).begin());
it != (vert[w]).end(); ++it) {
tmp[skl[neg(*it)]] = !tmp[w];
res[*it] = tmp[w];
res[neg(*it)] = !tmp[w];
}
}
clear();
return make_pair(true, res);
}
};
} // namespace SAT2
int n2, m;
vector<pair<int, pair<int, int> > > G2[MXN];
int c[MXN], t[MXN];
pair<bool, vector<bool> > check(int second) {
SAT2::SAT2 SAT(3 * m);
for (int i = (0); i <= (m - 1); i++)
if (t[i] > second) SAT.add(i, 1, i, 1);
for (int i = (1); i <= (n2); i++) {
for (int j = (0); j <= ((int)(G2[i]).size() - 1); j++) {
int iter = j;
while (iter < (int)(G2[i]).size() && G2[i][j].first == G2[i][iter].first)
iter++;
if (iter - j > 2)
return make_pair(false, vector<bool>());
else if (iter - j == 2)
SAT.add(G2[i][j].second.second, 0, G2[i][j + 1].second.second, 0);
j = iter - 1;
}
int last = -1;
for (int j = (0); j <= ((int)(G2[i]).size() - 1); j++) {
int ei = G2[i][j].second.second;
int pi = ei;
if (i < G2[i][j].second.first)
pi += m;
else
pi += 2 * m;
SAT.add(pi, 1, ei, 1);
if (last != -1) {
SAT.add(ei, 1, last, 0);
SAT.add(pi, 1, last, 0);
}
last = pi;
}
}
return SAT.solve();
}
void test() {
scanf("%d %d", &n2, &m);
int mx = 0;
for (int i = (1); i <= (m); i++) {
int a, b;
scanf("%d %d %d %d", &a, &b, &c[i - 1], &t[i - 1]);
mx = max(mx, t[i - 1]);
G2[a].push_back(make_pair(c[i - 1], make_pair(b, i - 1)));
G2[b].push_back(make_pair(c[i - 1], make_pair(a, i - 1)));
}
for (int i = (1); i <= (n2); i++) sort((G2[i]).begin(), (G2[i]).end());
int res = INF;
int L = 0, R = mx;
vector<bool> ans;
while (L <= R) {
int second = (L + R) / 2;
pair<bool, vector<bool> > p1 = check(second);
if (p1.first) {
if (res > second) {
res = second;
ans = p1.second;
}
R = second - 1;
} else
L = second + 1;
}
if (res != INF) {
printf("Yes\n");
int cnt = 0;
for (int i = (0); i <= (m - 1); i++)
if (ans[i]) cnt++;
printf("%d %d\n", res, cnt);
for (int i = (0); i <= (m - 1); i++)
if (ans[i]) printf("%d ", i + 1);
printf("\n");
} else
printf("No\n");
}
int main() {
int te = 1;
while (te--) test();
return 0;
}
| 2C++
| {
"input": [
"5 7\n2 1 3 7\n3 1 1 6\n5 4 1 8\n4 5 1 1\n3 2 2 3\n4 5 2 5\n2 3 2 4\n",
"3 5\n3 2 1 3\n1 3 1 1\n3 2 1 4\n1 3 2 2\n1 3 2 10\n",
"3 5\n2 1 608591421 720962564\n3 2 608591421 641991574\n3 2 718110706 353409763\n2 3 482786015 858341723\n3 2 825397574 357507279\n",
"2 1\n2 1 317425595 636156322\n",
"50000 1\n20845 28516 904146168 997637433\n",
"3 5\n2 1 608591421 720962564\n6 2 608591421 641991574\n3 2 718110706 353409763\n2 3 482786015 858341723\n3 2 825397574 357507279\n",
"2 1\n2 1 317425595 932806361\n",
"3 5\n3 2 1 3\n1 3 1 1\n3 2 1 4\n1 3 2 2\n1 3 2 1\n",
"10 7\n2 1 3 7\n3 1 1 6\n5 4 1 8\n4 5 1 1\n3 2 2 3\n4 5 2 5\n2 3 2 4\n",
"50000 1\n20845 28516 904146168 834069176\n",
"2 1\n2 1 296600034 932806361\n",
"50000 1\n32372 28516 904146168 834069176\n",
"3 5\n3 2 1 3\n1 3 1 1\n3 2 0 4\n1 3 2 2\n1 3 2 1\n",
"50000 1\n38988 28516 904146168 834069176\n",
"3 5\n2 1 608591421 720962564\n3 2 608591421 641991574\n3 4 718110706 353409763\n2 3 482786015 858341723\n3 2 825397574 357507279\n",
"2 1\n2 1 339371166 636156322\n",
"3 5\n2 1 608591421 720962564\n6 2 608591421 641991574\n3 2 718110706 353409763\n2 2 482786015 858341723\n3 2 825397574 357507279\n",
"2 1\n2 1 317425595 324125031\n",
"2027 1\n20845 28516 904146168 834069176\n",
"3 1\n2 1 296600034 932806361\n",
"50000 1\n32372 47336 904146168 834069176\n",
"3 5\n3 2 2 3\n1 3 1 1\n3 2 0 4\n1 3 2 2\n1 3 2 1\n",
"50000 1\n13213 28516 904146168 834069176\n",
"4 1\n2 1 339371166 636156322\n",
"3 5\n2 1 608591421 720962564\n6 2 608591421 641991574\n3 3 718110706 353409763\n2 2 482786015 858341723\n3 2 825397574 357507279\n",
"2 1\n2 1 317425595 491281131\n",
"2027 1\n38685 28516 904146168 834069176\n",
"3 1\n2 1 296600034 891174931\n",
"3 5\n3 2 2 3\n1 1 1 1\n3 2 0 4\n1 3 2 2\n1 3 2 1\n",
"50000 1\n22753 28516 904146168 834069176\n",
"4 1\n3 1 339371166 636156322\n",
"3 5\n2 2 608591421 720962564\n6 2 608591421 641991574\n3 3 718110706 353409763\n2 2 482786015 858341723\n3 2 825397574 357507279\n",
"2 1\n2 1 317425595 570202222\n",
"2027 1\n38685 28516 904146168 985170163\n",
"3 1\n3 1 296600034 891174931\n",
"3 5\n3 2 2 6\n1 1 1 1\n3 2 0 4\n1 3 2 2\n1 3 2 1\n",
"50000 1\n22753 28516 559262839 834069176\n",
"4 1\n3 2 339371166 636156322\n",
"3 5\n2 2 608591421 720962564\n6 2 608591421 641991574\n3 6 718110706 353409763\n2 2 482786015 858341723\n3 2 825397574 357507279\n",
"2 1\n3 1 317425595 570202222\n",
"2027 1\n38685 28516 904146168 1567633875\n",
"3 5\n3 2 2 6\n1 1 1 1\n3 2 0 8\n1 3 2 2\n1 3 2 1\n",
"50000 1\n22753 28516 1102158026 834069176\n",
"4 1\n3 2 580596711 636156322\n",
"3 5\n2 2 620429333 720962564\n6 2 608591421 641991574\n3 6 718110706 353409763\n2 2 482786015 858341723\n3 2 825397574 357507279\n",
"2027 1\n38685 28516 904146168 1313926024\n",
"3 5\n3 2 2 6\n1 1 1 1\n3 2 0 8\n1 3 2 2\n2 3 2 1\n",
"4 1\n3 2 527505364 636156322\n",
"3 5\n2 2 459716829 720962564\n6 2 608591421 641991574\n3 6 718110706 353409763\n2 2 482786015 858341723\n3 2 825397574 357507279\n",
"912 1\n38685 28516 904146168 1313926024\n",
"3 5\n3 2 2 6\n1 1 1 1\n3 2 1 8\n1 3 2 2\n2 3 2 1\n",
"4 1\n3 2 686806284 636156322\n",
"3 5\n2 2 459716829 720962564\n6 2 608591421 641991574\n3 8 718110706 353409763\n2 2 482786015 858341723\n3 2 825397574 357507279\n",
"912 1\n38685 28516 904146168 937480121\n",
"3 5\n3 2 2 6\n1 1 1 1\n3 2 1 0\n1 3 2 2\n2 3 2 1\n",
"3 5\n2 2 459716829 720962564\n6 2 608591421 238450740\n3 8 718110706 353409763\n2 2 482786015 858341723\n3 2 825397574 357507279\n",
"3 5\n2 1 608591421 720962564\n3 2 608591421 641991574\n3 2 718110706 353409763\n2 3 482786015 858341723\n3 4 825397574 357507279\n",
"0 1\n2 1 317425595 636156322\n",
"50000 1\n20845 30752 904146168 997637433\n",
"3 5\n3 2 1 3\n1 3 1 1\n3 2 1 2\n1 3 2 2\n1 3 2 10\n",
"2 1\n2 1 180464196 932806361\n",
"50000 1\n20845 49826 904146168 834069176\n",
"3 5\n3 2 2 3\n1 3 1 1\n3 2 1 4\n1 3 2 2\n1 3 2 1\n",
"2 1\n2 1 538670330 932806361\n",
"50000 1\n32372 28516 989320016 834069176\n",
"3 5\n3 2 1 3\n1 3 1 1\n3 2 1 4\n1 3 2 2\n1 5 2 1\n",
"50000 1\n38988 28516 478925434 834069176\n",
"3 5\n2 1 608591421 720962564\n3 2 608591421 641991574\n3 4 718110706 642621413\n2 3 482786015 858341723\n3 2 825397574 357507279\n",
"3 1\n2 1 339371166 636156322\n",
"3 5\n2 1 608591421 720962564\n6 2 608591421 641991574\n3 2 718110706 353409763\n2 2 482786015 858341723\n3 2 825397574 589419993\n",
"2 1\n2 1 85499581 324125031\n",
"2027 1\n905 28516 904146168 834069176\n",
"50000 1\n19430 47336 904146168 834069176\n",
"50000 1\n24991 28516 904146168 834069176\n",
"3 5\n2 1 608591421 720962564\n6 2 608591421 641991574\n3 3 718110706 673892373\n2 2 482786015 858341723\n3 2 825397574 357507279\n",
"521 1\n38685 28516 904146168 834069176\n",
"4 1\n3 1 296600034 891174931\n",
"3 5\n3 2 2 3\n1 1 1 1\n3 2 0 4\n1 4 2 2\n1 3 2 1\n",
"7 1\n3 1 339371166 636156322\n",
"1144 1\n38685 28516 904146168 985170163\n",
"3 1\n3 1 296600034 25942498\n",
"5 5\n3 2 2 6\n1 1 1 1\n3 2 0 4\n1 3 2 2\n1 3 2 1\n",
"50000 1\n42385 28516 559262839 834069176\n",
"4 1\n1 2 339371166 636156322\n",
"3 5\n2 2 608591421 720962564\n6 2 608591421 641991574\n3 6 1312002889 353409763\n2 2 482786015 858341723\n3 2 825397574 357507279\n",
"2 1\n4 1 317425595 570202222\n",
"552 1\n38685 28516 904146168 1567633875\n",
"3 5\n3 2 2 6\n1 1 1 1\n3 2 0 8\n1 3 2 1\n1 3 2 1\n",
"50000 1\n22753 28516 301807463 834069176\n",
"5 1\n3 2 580596711 636156322\n",
"2027 1\n38685 28516 1634940961 1313926024\n",
"4 1\n3 2 95201653 636156322\n",
"3 5\n2 2 459716829 720962564\n6 2 608591421 641991574\n1 6 718110706 353409763\n2 2 482786015 858341723\n3 2 825397574 357507279\n",
"3 5\n3 2 2 6\n1 1 1 1\n6 2 1 8\n1 3 2 2\n2 3 2 1\n",
"4 1\n3 2 686806284 939779301\n",
"3 5\n2 2 459716829 720962564\n6 2 1054926684 641991574\n3 8 718110706 353409763\n2 2 482786015 858341723\n3 2 825397574 357507279\n",
"912 1\n34048 28516 904146168 937480121\n",
"3 5\n2 2 459716829 720962564\n6 2 608591421 238450740\n3 8 718110706 353409763\n2 2 482786015 858341723\n3 4 825397574 357507279\n",
"3 5\n2 1 608591421 720962564\n3 2 608591421 641991574\n3 2 718110706 353409763\n2 3 875803605 858341723\n3 4 825397574 357507279\n",
"1 1\n2 1 317425595 636156322\n",
"50000 1\n20845 30752 1168611582 997637433\n",
"10 7\n2 1 3 7\n3 1 1 6\n5 4 1 8\n4 5 1 1\n3 2 2 3\n4 5 3 5\n2 3 2 4\n",
"3 5\n3 2 1 3\n1 3 1 1\n3 2 1 4\n1 3 2 2\n1 4 2 10\n",
"2 1\n2 1 79790599 932806361\n",
"36050 1\n20845 49826 904146168 834069176\n"
],
"output": [
"Yes\n3 2\n4 5 ",
"No",
"Yes\n641991574 1\n2 ",
"Yes\n0 0\n",
"Yes\n0 0\n",
"Yes\n641991574 1\n2 \n",
"Yes\n0 0\n\n",
"No\n",
"Yes\n3 2\n4 5 \n",
"Yes\n0 0\n\n",
"Yes\n0 0\n\n",
"Yes\n0 0\n\n",
"No\n",
"Yes\n0 0\n\n",
"Yes\n641991574 1\n2 \n",
"Yes\n0 0\n\n",
"No\n",
"Yes\n0 0\n\n",
"Yes\n0 0\n\n",
"Yes\n0 0\n\n",
"Yes\n0 0\n\n",
"No\n",
"Yes\n0 0\n\n",
"Yes\n0 0\n\n",
"No\n",
"Yes\n0 0\n\n",
"Yes\n0 0\n\n",
"Yes\n0 0\n\n",
"No\n",
"Yes\n0 0\n\n",
"Yes\n0 0\n\n",
"No\n",
"Yes\n0 0\n\n",
"Yes\n0 0\n\n",
"Yes\n0 0\n\n",
"No\n",
"Yes\n0 0\n\n",
"Yes\n0 0\n\n",
"No\n",
"Yes\n0 0\n\n",
"Yes\n0 0\n\n",
"No\n",
"Yes\n0 0\n\n",
"Yes\n0 0\n\n",
"No\n",
"Yes\n0 0\n\n",
"No\n",
"Yes\n0 0\n\n",
"No\n",
"Yes\n0 0\n\n",
"No\n",
"Yes\n0 0\n\n",
"No\n",
"Yes\n0 0\n\n",
"No\n",
"No\n",
"Yes\n641991574 1\n2 \n",
"Yes\n0 0\n\n",
"Yes\n0 0\n\n",
"No\n",
"Yes\n0 0\n\n",
"Yes\n0 0\n\n",
"No\n",
"Yes\n0 0\n\n",
"Yes\n0 0\n\n",
"No\n",
"Yes\n0 0\n\n",
"Yes\n641991574 1\n2 \n",
"Yes\n0 0\n\n",
"No\n",
"Yes\n0 0\n\n",
"Yes\n0 0\n\n",
"Yes\n0 0\n\n",
"Yes\n0 0\n\n",
"No\n",
"Yes\n0 0\n\n",
"Yes\n0 0\n\n",
"No\n",
"Yes\n0 0\n\n",
"Yes\n0 0\n\n",
"Yes\n0 0\n\n",
"No\n",
"Yes\n0 0\n\n",
"Yes\n0 0\n\n",
"No\n",
"Yes\n0 0\n\n",
"Yes\n0 0\n\n",
"No\n",
"Yes\n0 0\n\n",
"Yes\n0 0\n\n",
"Yes\n0 0\n\n",
"Yes\n0 0\n\n",
"No\n",
"No\n",
"Yes\n0 0\n\n",
"No\n",
"Yes\n0 0\n\n",
"No\n",
"Yes\n641991574 1\n2 \n",
"Yes\n0 0\n\n",
"Yes\n0 0\n\n",
"Yes\n3 2\n4 5 \n",
"No\n",
"Yes\n0 0\n\n",
"Yes\n0 0\n\n"
]
} | 2CODEFORCES
|
610_C. Harmony Analysis_38289 | The semester is already ending, so Danil made an effort and decided to visit a lesson on harmony analysis to know how does the professor look like, at least. Danil was very bored on this lesson until the teacher gave the group a simple task: find 4 vectors in 4-dimensional space, such that every coordinate of every vector is 1 or - 1 and any two vectors are orthogonal. Just as a reminder, two vectors in n-dimensional space are considered to be orthogonal if and only if their scalar product is equal to zero, that is:
<image>.
Danil quickly managed to come up with the solution for this problem and the teacher noticed that the problem can be solved in a more general case for 2k vectors in 2k-dimensinoal space. When Danil came home, he quickly came up with the solution for this problem. Can you cope with it?
Input
The only line of the input contains a single integer k (0 ≤ k ≤ 9).
Output
Print 2k lines consisting of 2k characters each. The j-th character of the i-th line must be equal to ' * ' if the j-th coordinate of the i-th vector is equal to - 1, and must be equal to ' + ' if it's equal to + 1. It's guaranteed that the answer always exists.
If there are many correct answers, print any.
Examples
Input
2
Output
++**
+*+*
++++
+**+
Note
Consider all scalar products in example:
* Vectors 1 and 2: ( + 1)·( + 1) + ( + 1)·( - 1) + ( - 1)·( + 1) + ( - 1)·( - 1) = 0
* Vectors 1 and 3: ( + 1)·( + 1) + ( + 1)·( + 1) + ( - 1)·( + 1) + ( - 1)·( + 1) = 0
* Vectors 1 and 4: ( + 1)·( + 1) + ( + 1)·( - 1) + ( - 1)·( - 1) + ( - 1)·( + 1) = 0
* Vectors 2 and 3: ( + 1)·( + 1) + ( - 1)·( + 1) + ( + 1)·( + 1) + ( - 1)·( + 1) = 0
* Vectors 2 and 4: ( + 1)·( + 1) + ( - 1)·( - 1) + ( + 1)·( - 1) + ( - 1)·( + 1) = 0
* Vectors 3 and 4: ( + 1)·( + 1) + ( + 1)·( - 1) + ( + 1)·( - 1) + ( + 1)·( + 1) = 0 | import string
def trans(s):
return s.translate(string.maketrans("+*", "*+"))
def orthogonal(s, n):
if n == 0:
print s
else:
orthogonal(s+s, n-1)
orthogonal(s+trans(s), n-1)
k = input()
if k == 0:
print "+"
else:
orthogonal("+", k) | 1Python2
| {
"input": [
"2\n",
"2\n",
"4\n",
"1\n",
"5\n",
"7\n",
"8\n",
"6\n",
"0\n",
"3\n"
],
"output": [
"++++\n+*+*\n++**\n+**+\n",
"++++\n+*+*\n++**\n+**+\n",
"++++++++++++++++\n+*+*+*+*+*+*+*+*\n++**++**++**++**\n+**++**++**++**+\n++++****++++****\n+*+**+*++*+**+*+\n++****++++****++\n+**+*++*+**+*++*\n++++++++********\n+*+*+*+**+*+*+*+\n++**++****++**++\n+**++**+*++**++*\n++++********++++\n+*+**+*+*+*++*+*\n++****++**++++**\n+**+*++**++*+**+\n",
"++\n+*\n",
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"++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++\n+*+*+*+*+*+*+*+*+*+*+*+*+*+*+*+*+*+*+*+*+*+*+*+*+*+*+*+*+*+*+*+*\n++**++**++**++**++**++**++**++**++**++**++**++**++**++**++**++**\n+**++**++**++**++**++**++**++**++**++**++**++**++**++**++**++**+\n++++****++++****++++****++++****++++****++++****++++****++++****\n+*+**+*++*+**+*++*+**+*++*+**+*++*+**+*++*+**+*++*+**+*++*+**+*+\n++****++++****++++****++++****++++****++++****++++****++++****++\n+**+*++*+**+*++*+**+*++*+**+*++*+**+*++*+**+*++*+**+*++*+**+*++*\n++++++++********++++++++********++++++++********++++++++********\n+*+*+*+**+*+*+*++*+*+*+**+*+*+*++*+*+*+**+*+*+*++*+*+*+**+*+*+*+\n++**++****++**++++**++****++**++++**++****++**++++**++****++**++\n+**++**+*++**++*+**++**+*++**++*+**++**+*++**++*+**++**+*++**++*\n++++********++++++++********++++++++********++++++++********++++\n+*+**+*+*+*++*+*+*+**+*+*+*++*+*+*+**+*+*+*++*+*+*+**+*+*+*++*+*\n++****++**++++**++****++**++++**++****++**++++**++****++**++++**\n+**+*++**++*+**++**+*++**++*+**++**+*++**++*+**++**+*++**++*+**+\n++++++++++++++++****************++++++++++++++++****************\n+*+*+*+*+*+*+*+**+*+*+*+*+*+*+*++*+*+*+*+*+*+*+**+*+*+*+*+*+*+*+\n++**++**++**++****++**++**++**++++**++**++**++****++**++**++**++\n+**++**++**++**+*++**++**++**++*+**++**++**++**+*++**++**++**++*\n++++****++++********++++****++++++++****++++********++++****++++\n+*+**+*++*+**+*+*+*++*+**+*++*+*+*+**+*++*+**+*+*+*++*+**+*++*+*\n++****++++****++**++++****++++**++****++++****++**++++****++++**\n+**+*++*+**+*++**++*+**+*++*+**++**+*++*+**+*++**++*+**+*++*+**+\n++++++++****************++++++++++++++++****************++++++++\n+*+*+*+**+*+*+*+*+*+*+*++*+*+*+*+*+*+*+**+*+*+*+*+*+*+*++*+*+*+*\n++**++****++**++**++**++++**++**++**++****++**++**++**++++**++**\n+**++**+*++**++**++**++*+**++**++**++**+*++**++**++**++*+**++**+\n++++********++++****++++++++****++++********++++****++++++++****\n+*+**+*+*+*++*+**+*++*+*+*+**+*++*+**+*+*+*++*+**+*++*+*+*+**+*+\n++****++**++++****++++**++****++++****++**++++****++++**++****++\n+**+*++**++*+**+*++*+**++**+*++*+**+*++**++*+**+*++*+**++**+*++*\n++++++++++++++++++++++++++++++++********************************\n+*+*+*+*+*+*+*+*+*+*+*+*+*+*+*+**+*+*+*+*+*+*+*+*+*+*+*+*+*+*+*+\n++**++**++**++**++**++**++**++****++**++**++**++**++**++**++**++\n+**++**++**++**++**++**++**++**+*++**++**++**++**++**++**++**++*\n++++****++++****++++****++++********++++****++++****++++****++++\n+*+**+*++*+**+*++*+**+*++*+**+*+*+*++*+**+*++*+**+*++*+**+*++*+*\n++****++++****++++****++++****++**++++****++++****++++****++++**\n+**+*++*+**+*++*+**+*++*+**+*++**++*+**+*++*+**+*++*+**+*++*+**+\n++++++++********++++++++****************++++++++********++++++++\n+*+*+*+**+*+*+*++*+*+*+**+*+*+*+*+*+*+*++*+*+*+**+*+*+*++*+*+*+*\n++**++****++**++++**++****++**++**++**++++**++****++**++++**++**\n+**++**+*++**++*+**++**+*++**++**++**++*+**++**+*++**++*+**++**+\n++++********++++++++********++++****++++++++********++++++++****\n+*+**+*+*+*++*+*+*+**+*+*+*++*+**+*++*+*+*+**+*+*+*++*+*+*+**+*+\n++****++**++++**++****++**++++****++++**++****++**++++**++****++\n+**+*++**++*+**++**+*++**++*+**+*++*+**++**+*++**++*+**++**+*++*\n++++++++++++++++********************************++++++++++++++++\n+*+*+*+*+*+*+*+**+*+*+*+*+*+*+*+*+*+*+*+*+*+*+*++*+*+*+*+*+*+*+*\n++**++**++**++****++**++**++**++**++**++**++**++++**++**++**++**\n+**++**++**++**+*++**++**++**++**++**++**++**++*+**++**++**++**+\n++++****++++********++++****++++****++++****++++++++****++++****\n+*+**+*++*+**+*+*+*++*+**+*++*+**+*++*+**+*++*+*+*+**+*++*+**+*+\n++****++++****++**++++****++++****++++****++++**++****++++****++\n+**+*++*+**+*++**++*+**+*++*+**+*++*+**+*++*+**++**+*++*+**+*++*\n++++++++****************++++++++********++++++++++++++++********\n+*+*+*+**+*+*+*+*+*+*+*++*+*+*+**+*+*+*++*+*+*+*+*+*+*+**+*+*+*+\n++**++****++**++**++**++++**++****++**++++**++**++**++****++**++\n+**++**+*++**++**++**++*+**++**+*++**++*+**++**++**++**+*++**++*\n++++********++++****++++++++********++++++++****++++********++++\n+*+**+*+*+*++*+**+*++*+*+*+**+*+*+*++*+*+*+**+*++*+**+*+*+*++*+*\n++****++**++++****++++**++****++**++++**++****++++****++**++++**\n+**+*++**++*+**+*++*+**++**+*++**++*+**++**+*++*+**+*++**++*+**+\n",
"+\n",
"++++++++\n+*+*+*+*\n++**++**\n+**++**+\n++++****\n+*+**+*+\n++****++\n+**+*++*\n"
]
} | 2CODEFORCES
|
610_C. Harmony Analysis_38290 | The semester is already ending, so Danil made an effort and decided to visit a lesson on harmony analysis to know how does the professor look like, at least. Danil was very bored on this lesson until the teacher gave the group a simple task: find 4 vectors in 4-dimensional space, such that every coordinate of every vector is 1 or - 1 and any two vectors are orthogonal. Just as a reminder, two vectors in n-dimensional space are considered to be orthogonal if and only if their scalar product is equal to zero, that is:
<image>.
Danil quickly managed to come up with the solution for this problem and the teacher noticed that the problem can be solved in a more general case for 2k vectors in 2k-dimensinoal space. When Danil came home, he quickly came up with the solution for this problem. Can you cope with it?
Input
The only line of the input contains a single integer k (0 ≤ k ≤ 9).
Output
Print 2k lines consisting of 2k characters each. The j-th character of the i-th line must be equal to ' * ' if the j-th coordinate of the i-th vector is equal to - 1, and must be equal to ' + ' if it's equal to + 1. It's guaranteed that the answer always exists.
If there are many correct answers, print any.
Examples
Input
2
Output
++**
+*+*
++++
+**+
Note
Consider all scalar products in example:
* Vectors 1 and 2: ( + 1)·( + 1) + ( + 1)·( - 1) + ( - 1)·( + 1) + ( - 1)·( - 1) = 0
* Vectors 1 and 3: ( + 1)·( + 1) + ( + 1)·( + 1) + ( - 1)·( + 1) + ( - 1)·( + 1) = 0
* Vectors 1 and 4: ( + 1)·( + 1) + ( + 1)·( - 1) + ( - 1)·( - 1) + ( - 1)·( + 1) = 0
* Vectors 2 and 3: ( + 1)·( + 1) + ( - 1)·( + 1) + ( + 1)·( + 1) + ( - 1)·( + 1) = 0
* Vectors 2 and 4: ( + 1)·( + 1) + ( - 1)·( - 1) + ( + 1)·( - 1) + ( - 1)·( + 1) = 0
* Vectors 3 and 4: ( + 1)·( + 1) + ( + 1)·( - 1) + ( + 1)·( - 1) + ( + 1)·( + 1) = 0 | #include <bits/stdc++.h>
using namespace std;
bool mask[1006][1006];
void gen(int x) {
int dl = (1 << (x - 1));
for (int i = 0; i < dl; i++)
for (int j = 0; j < dl; j++) {
mask[i + dl][j] = mask[i][j];
mask[i][j + dl] = mask[i][j];
mask[i + dl][j + dl] = !mask[i][j];
}
}
void wypisz(int k) {
for (int i = 0; i < (1 << k); i++) {
for (int j = 0; j < (1 << k); j++)
if (mask[i][j])
printf("+");
else
printf("*");
puts("");
}
}
int main() {
int k;
scanf("%d", &k);
mask[0][0] = true;
for (int i = 1; i <= k; i++) gen(i);
wypisz(k);
return 0;
}
| 2C++
| {
"input": [
"2\n",
"2\n",
"4\n",
"1\n",
"5\n",
"7\n",
"8\n",
"6\n",
"0\n",
"3\n"
],
"output": [
"++++\n+*+*\n++**\n+**+\n",
"++++\n+*+*\n++**\n+**+\n",
"++++++++++++++++\n+*+*+*+*+*+*+*+*\n++**++**++**++**\n+**++**++**++**+\n++++****++++****\n+*+**+*++*+**+*+\n++****++++****++\n+**+*++*+**+*++*\n++++++++********\n+*+*+*+**+*+*+*+\n++**++****++**++\n+**++**+*++**++*\n++++********++++\n+*+**+*+*+*++*+*\n++****++**++++**\n+**+*++**++*+**+\n",
"++\n+*\n",
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"+\n",
"++++++++\n+*+*+*+*\n++**++**\n+**++**+\n++++****\n+*+**+*+\n++****++\n+**+*++*\n"
]
} | 2CODEFORCES
|
610_C. Harmony Analysis_38291 | The semester is already ending, so Danil made an effort and decided to visit a lesson on harmony analysis to know how does the professor look like, at least. Danil was very bored on this lesson until the teacher gave the group a simple task: find 4 vectors in 4-dimensional space, such that every coordinate of every vector is 1 or - 1 and any two vectors are orthogonal. Just as a reminder, two vectors in n-dimensional space are considered to be orthogonal if and only if their scalar product is equal to zero, that is:
<image>.
Danil quickly managed to come up with the solution for this problem and the teacher noticed that the problem can be solved in a more general case for 2k vectors in 2k-dimensinoal space. When Danil came home, he quickly came up with the solution for this problem. Can you cope with it?
Input
The only line of the input contains a single integer k (0 ≤ k ≤ 9).
Output
Print 2k lines consisting of 2k characters each. The j-th character of the i-th line must be equal to ' * ' if the j-th coordinate of the i-th vector is equal to - 1, and must be equal to ' + ' if it's equal to + 1. It's guaranteed that the answer always exists.
If there are many correct answers, print any.
Examples
Input
2
Output
++**
+*+*
++++
+**+
Note
Consider all scalar products in example:
* Vectors 1 and 2: ( + 1)·( + 1) + ( + 1)·( - 1) + ( - 1)·( + 1) + ( - 1)·( - 1) = 0
* Vectors 1 and 3: ( + 1)·( + 1) + ( + 1)·( + 1) + ( - 1)·( + 1) + ( - 1)·( + 1) = 0
* Vectors 1 and 4: ( + 1)·( + 1) + ( + 1)·( - 1) + ( - 1)·( - 1) + ( - 1)·( + 1) = 0
* Vectors 2 and 3: ( + 1)·( + 1) + ( - 1)·( + 1) + ( + 1)·( + 1) + ( - 1)·( + 1) = 0
* Vectors 2 and 4: ( + 1)·( + 1) + ( - 1)·( - 1) + ( + 1)·( - 1) + ( - 1)·( + 1) = 0
* Vectors 3 and 4: ( + 1)·( + 1) + ( + 1)·( - 1) + ( + 1)·( - 1) + ( + 1)·( + 1) = 0 | p = [[0]]
for i in range(int(input())):
p = [t + t for t in p] + [[1 - q for q in t] + t for t in p]
for t in p: print(''.join('+*'[q] for q in t)) | 3Python3
| {
"input": [
"2\n",
"2\n",
"4\n",
"1\n",
"5\n",
"7\n",
"8\n",
"6\n",
"0\n",
"3\n"
],
"output": [
"++++\n+*+*\n++**\n+**+\n",
"++++\n+*+*\n++**\n+**+\n",
"++++++++++++++++\n+*+*+*+*+*+*+*+*\n++**++**++**++**\n+**++**++**++**+\n++++****++++****\n+*+**+*++*+**+*+\n++****++++****++\n+**+*++*+**+*++*\n++++++++********\n+*+*+*+**+*+*+*+\n++**++****++**++\n+**++**+*++**++*\n++++********++++\n+*+**+*+*+*++*+*\n++****++**++++**\n+**+*++**++*+**+\n",
"++\n+*\n",
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"++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++\n+*+*+*+*+*+*+*+*+*+*+*+*+*+*+*+*+*+*+*+*+*+*+*+*+*+*+*+*+*+*+*+*\n++**++**++**++**++**++**++**++**++**++**++**++**++**++**++**++**\n+**++**++**++**++**++**++**++**++**++**++**++**++**++**++**++**+\n++++****++++****++++****++++****++++****++++****++++****++++****\n+*+**+*++*+**+*++*+**+*++*+**+*++*+**+*++*+**+*++*+**+*++*+**+*+\n++****++++****++++****++++****++++****++++****++++****++++****++\n+**+*++*+**+*++*+**+*++*+**+*++*+**+*++*+**+*++*+**+*++*+**+*++*\n++++++++********++++++++********++++++++********++++++++********\n+*+*+*+**+*+*+*++*+*+*+**+*+*+*++*+*+*+**+*+*+*++*+*+*+**+*+*+*+\n++**++****++**++++**++****++**++++**++****++**++++**++****++**++\n+**++**+*++**++*+**++**+*++**++*+**++**+*++**++*+**++**+*++**++*\n++++********++++++++********++++++++********++++++++********++++\n+*+**+*+*+*++*+*+*+**+*+*+*++*+*+*+**+*+*+*++*+*+*+**+*+*+*++*+*\n++****++**++++**++****++**++++**++****++**++++**++****++**++++**\n+**+*++**++*+**++**+*++**++*+**++**+*++**++*+**++**+*++**++*+**+\n++++++++++++++++****************++++++++++++++++****************\n+*+*+*+*+*+*+*+**+*+*+*+*+*+*+*++*+*+*+*+*+*+*+**+*+*+*+*+*+*+*+\n++**++**++**++****++**++**++**++++**++**++**++****++**++**++**++\n+**++**++**++**+*++**++**++**++*+**++**++**++**+*++**++**++**++*\n++++****++++********++++****++++++++****++++********++++****++++\n+*+**+*++*+**+*+*+*++*+**+*++*+*+*+**+*++*+**+*+*+*++*+**+*++*+*\n++****++++****++**++++****++++**++****++++****++**++++****++++**\n+**+*++*+**+*++**++*+**+*++*+**++**+*++*+**+*++**++*+**+*++*+**+\n++++++++****************++++++++++++++++****************++++++++\n+*+*+*+**+*+*+*+*+*+*+*++*+*+*+*+*+*+*+**+*+*+*+*+*+*+*++*+*+*+*\n++**++****++**++**++**++++**++**++**++****++**++**++**++++**++**\n+**++**+*++**++**++**++*+**++**++**++**+*++**++**++**++*+**++**+\n++++********++++****++++++++****++++********++++****++++++++****\n+*+**+*+*+*++*+**+*++*+*+*+**+*++*+**+*+*+*++*+**+*++*+*+*+**+*+\n++****++**++++****++++**++****++++****++**++++****++++**++****++\n+**+*++**++*+**+*++*+**++**+*++*+**+*++**++*+**+*++*+**++**+*++*\n++++++++++++++++++++++++++++++++********************************\n+*+*+*+*+*+*+*+*+*+*+*+*+*+*+*+**+*+*+*+*+*+*+*+*+*+*+*+*+*+*+*+\n++**++**++**++**++**++**++**++****++**++**++**++**++**++**++**++\n+**++**++**++**++**++**++**++**+*++**++**++**++**++**++**++**++*\n++++****++++****++++****++++********++++****++++****++++****++++\n+*+**+*++*+**+*++*+**+*++*+**+*+*+*++*+**+*++*+**+*++*+**+*++*+*\n++****++++****++++****++++****++**++++****++++****++++****++++**\n+**+*++*+**+*++*+**+*++*+**+*++**++*+**+*++*+**+*++*+**+*++*+**+\n++++++++********++++++++****************++++++++********++++++++\n+*+*+*+**+*+*+*++*+*+*+**+*+*+*+*+*+*+*++*+*+*+**+*+*+*++*+*+*+*\n++**++****++**++++**++****++**++**++**++++**++****++**++++**++**\n+**++**+*++**++*+**++**+*++**++**++**++*+**++**+*++**++*+**++**+\n++++********++++++++********++++****++++++++********++++++++****\n+*+**+*+*+*++*+*+*+**+*+*+*++*+**+*++*+*+*+**+*+*+*++*+*+*+**+*+\n++****++**++++**++****++**++++****++++**++****++**++++**++****++\n+**+*++**++*+**++**+*++**++*+**+*++*+**++**+*++**++*+**++**+*++*\n++++++++++++++++********************************++++++++++++++++\n+*+*+*+*+*+*+*+**+*+*+*+*+*+*+*+*+*+*+*+*+*+*+*++*+*+*+*+*+*+*+*\n++**++**++**++****++**++**++**++**++**++**++**++++**++**++**++**\n+**++**++**++**+*++**++**++**++**++**++**++**++*+**++**++**++**+\n++++****++++********++++****++++****++++****++++++++****++++****\n+*+**+*++*+**+*+*+*++*+**+*++*+**+*++*+**+*++*+*+*+**+*++*+**+*+\n++****++++****++**++++****++++****++++****++++**++****++++****++\n+**+*++*+**+*++**++*+**+*++*+**+*++*+**+*++*+**++**+*++*+**+*++*\n++++++++****************++++++++********++++++++++++++++********\n+*+*+*+**+*+*+*+*+*+*+*++*+*+*+**+*+*+*++*+*+*+*+*+*+*+**+*+*+*+\n++**++****++**++**++**++++**++****++**++++**++**++**++****++**++\n+**++**+*++**++**++**++*+**++**+*++**++*+**++**++**++**+*++**++*\n++++********++++****++++++++********++++++++****++++********++++\n+*+**+*+*+*++*+**+*++*+*+*+**+*+*+*++*+*+*+**+*++*+**+*+*+*++*+*\n++****++**++++****++++**++****++**++++**++****++++****++**++++**\n+**+*++**++*+**+*++*+**++**+*++**++*+**++**+*++*+**+*++**++*+**+\n",
"+\n",
"++++++++\n+*+*+*+*\n++**++**\n+**++**+\n++++****\n+*+**+*+\n++****++\n+**+*++*\n"
]
} | 2CODEFORCES
|
610_C. Harmony Analysis_38292 | The semester is already ending, so Danil made an effort and decided to visit a lesson on harmony analysis to know how does the professor look like, at least. Danil was very bored on this lesson until the teacher gave the group a simple task: find 4 vectors in 4-dimensional space, such that every coordinate of every vector is 1 or - 1 and any two vectors are orthogonal. Just as a reminder, two vectors in n-dimensional space are considered to be orthogonal if and only if their scalar product is equal to zero, that is:
<image>.
Danil quickly managed to come up with the solution for this problem and the teacher noticed that the problem can be solved in a more general case for 2k vectors in 2k-dimensinoal space. When Danil came home, he quickly came up with the solution for this problem. Can you cope with it?
Input
The only line of the input contains a single integer k (0 ≤ k ≤ 9).
Output
Print 2k lines consisting of 2k characters each. The j-th character of the i-th line must be equal to ' * ' if the j-th coordinate of the i-th vector is equal to - 1, and must be equal to ' + ' if it's equal to + 1. It's guaranteed that the answer always exists.
If there are many correct answers, print any.
Examples
Input
2
Output
++**
+*+*
++++
+**+
Note
Consider all scalar products in example:
* Vectors 1 and 2: ( + 1)·( + 1) + ( + 1)·( - 1) + ( - 1)·( + 1) + ( - 1)·( - 1) = 0
* Vectors 1 and 3: ( + 1)·( + 1) + ( + 1)·( + 1) + ( - 1)·( + 1) + ( - 1)·( + 1) = 0
* Vectors 1 and 4: ( + 1)·( + 1) + ( + 1)·( - 1) + ( - 1)·( - 1) + ( - 1)·( + 1) = 0
* Vectors 2 and 3: ( + 1)·( + 1) + ( - 1)·( + 1) + ( + 1)·( + 1) + ( - 1)·( + 1) = 0
* Vectors 2 and 4: ( + 1)·( + 1) + ( - 1)·( - 1) + ( + 1)·( - 1) + ( - 1)·( + 1) = 0
* Vectors 3 and 4: ( + 1)·( + 1) + ( + 1)·( - 1) + ( + 1)·( - 1) + ( + 1)·( + 1) = 0 | import java.io.OutputStream;
import java.io.IOException;
import java.io.InputStream;
import java.io.OutputStream;
import java.io.PrintWriter;
import java.util.StringTokenizer;
import java.io.Writer;
import java.io.IOException;
import java.io.BufferedReader;
import java.io.InputStreamReader;
import java.io.InputStream;
/**
* Built using CHelper plug-in
* Actual solution is at the top
*
* @author whhone
*/
public class Main {
public static void main(String[] args) {
InputStream inputStream = System.in;
OutputStream outputStream = System.out;
InputReader in = new InputReader(inputStream);
OutputWriter out = new OutputWriter(outputStream);
TaskC solver = new TaskC();
solver.solve(1, in, out);
out.close();
}
static class TaskC {
int[][] make(int k) {
if (k == 0) {
int[][] A = new int[1][1];
A[0][0] = 1;
return A;
}
int[][] a = make(k - 1);
int N = a.length;
int[][] A = new int[N * 2][N * 2];
for (int i = 0; i < N; ++i) {
for (int j = 0; j < N; ++j) {
A[i][2 * j] = A[i][2 * j + 1] = a[i][j];
}
}
for (int i = 0; i < N; ++i) {
for (int j = 0; j < N; ++j) {
A[i + N][2 * j] = a[i][j];
A[i + N][2 * j + 1] = -a[i][j];
}
}
return A;
}
public void solve(int testNumber, InputReader in, OutputWriter out) {
int[][] ans = make(in.nextInt());
for (int i = 0; i < ans.length; ++i) {
for (int j = 0; j < ans.length; ++j) {
if (ans[i][j] == 1) out.print("+");
else out.print("*");
}
out.println();
}
}
}
static class OutputWriter extends PrintWriter {
public OutputWriter(OutputStream stream) {
super(stream);
}
public OutputWriter(Writer writer) {
super(writer);
}
}
static class InputReader {
public BufferedReader reader;
public StringTokenizer tokenizer;
public InputReader(InputStream stream) {
reader = new BufferedReader(new InputStreamReader(stream), 65536);
tokenizer = null;
}
public String nextLine() {
try {
return reader.readLine();
} catch (IOException e) {
throw new RuntimeException(e);
}
}
public String next() {
while (tokenizer == null || !tokenizer.hasMoreTokens()) {
tokenizer = new StringTokenizer(nextLine());
}
return tokenizer.nextToken();
}
public int nextInt() {
return Integer.parseInt(next());
}
}
}
| 4JAVA
| {
"input": [
"2\n",
"2\n",
"4\n",
"1\n",
"5\n",
"7\n",
"8\n",
"6\n",
"0\n",
"3\n"
],
"output": [
"++++\n+*+*\n++**\n+**+\n",
"++++\n+*+*\n++**\n+**+\n",
"++++++++++++++++\n+*+*+*+*+*+*+*+*\n++**++**++**++**\n+**++**++**++**+\n++++****++++****\n+*+**+*++*+**+*+\n++****++++****++\n+**+*++*+**+*++*\n++++++++********\n+*+*+*+**+*+*+*+\n++**++****++**++\n+**++**+*++**++*\n++++********++++\n+*+**+*+*+*++*+*\n++****++**++++**\n+**+*++**++*+**+\n",
"++\n+*\n",
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"+\n",
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]
} | 2CODEFORCES
|
630_M. Turn_38293 | Vasya started working in a machine vision company of IT City. Vasya's team creates software and hardware for identification of people by their face.
One of the project's know-how is a camera rotating around its optical axis on shooting. People see an eye-catching gadget — a rotating camera — come up to it to see it better, look into it. And the camera takes their photo at that time. What could be better for high quality identification?
But not everything is so simple. The pictures from camera appear rotated too (on clockwise camera rotation frame the content becomes rotated counter-clockwise). But the identification algorithm can work only with faces that are just slightly deviated from vertical.
Vasya was entrusted to correct the situation — to rotate a captured image so that image would be minimally deviated from vertical. Requirements were severe. Firstly, the picture should be rotated only on angle divisible by 90 degrees to not lose a bit of information about the image. Secondly, the frames from the camera are so huge and FPS is so big that adequate rotation speed is provided by hardware FPGA solution only. And this solution can rotate only by 90 degrees clockwise. Of course, one can apply 90 degrees turn several times but for the sake of performance the number of turns should be minimized.
Help Vasya implement the program that by the given rotation angle of the camera can determine the minimum number of 90 degrees clockwise turns necessary to get a picture in which up direction deviation from vertical is minimum.
The next figure contains frames taken from an unrotated camera, then from rotated 90 degrees clockwise, then from rotated 90 degrees counter-clockwise. Arrows show direction to "true up".
<image>
The next figure shows 90 degrees clockwise turn by FPGA hardware.
<image>
Input
The only line of the input contains one integer x ( - 1018 ≤ x ≤ 1018) — camera angle in degrees. Positive value denotes clockwise camera rotation, negative — counter-clockwise.
Output
Output one integer — the minimum required number of 90 degrees clockwise turns.
Examples
Input
60
Output
1
Input
-60
Output
3
Note
When the camera is rotated 60 degrees counter-clockwise (the second example), an image from it is rotated 60 degrees clockwise. One 90 degrees clockwise turn of the image result in 150 degrees clockwise total rotation and deviation from "true up" for one turn is 150 degrees. Two 90 degrees clockwise turns of the image result in 240 degrees clockwise total rotation and deviation from "true up" for two turns is 120 degrees because 240 degrees clockwise equal to 120 degrees counter-clockwise. Three 90 degrees clockwise turns of the image result in 330 degrees clockwise total rotation and deviation from "true up" for three turns is 30 degrees because 330 degrees clockwise equal to 30 degrees counter-clockwise.
From 60, 150, 120 and 30 degrees deviations the smallest is 30, and it it achieved in three 90 degrees clockwise turns. | a=input()
a=(a%360 + 360)%360
a=(a+44)%360
print (a%359) / 90
| 1Python2
| {
"input": [
"-60\n",
"60\n",
"6678504591813508\n",
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"225\n",
"-45\n",
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"999999999999999326\n",
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"999999999999999416\n",
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"0\n",
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"-201035370138545377\n",
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"441505850043460771\n",
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"999999999999999340\n",
"-999999999999999416\n",
"272028913373922389\n",
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"201035370138545377\n",
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"-441505850043460771\n",
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"-361\n",
"999999999999999325\n",
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"-999999999999999340\n",
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],
"output": [
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"3\n",
"3\n"
]
} | 2CODEFORCES
|
630_M. Turn_38294 | Vasya started working in a machine vision company of IT City. Vasya's team creates software and hardware for identification of people by their face.
One of the project's know-how is a camera rotating around its optical axis on shooting. People see an eye-catching gadget — a rotating camera — come up to it to see it better, look into it. And the camera takes their photo at that time. What could be better for high quality identification?
But not everything is so simple. The pictures from camera appear rotated too (on clockwise camera rotation frame the content becomes rotated counter-clockwise). But the identification algorithm can work only with faces that are just slightly deviated from vertical.
Vasya was entrusted to correct the situation — to rotate a captured image so that image would be minimally deviated from vertical. Requirements were severe. Firstly, the picture should be rotated only on angle divisible by 90 degrees to not lose a bit of information about the image. Secondly, the frames from the camera are so huge and FPS is so big that adequate rotation speed is provided by hardware FPGA solution only. And this solution can rotate only by 90 degrees clockwise. Of course, one can apply 90 degrees turn several times but for the sake of performance the number of turns should be minimized.
Help Vasya implement the program that by the given rotation angle of the camera can determine the minimum number of 90 degrees clockwise turns necessary to get a picture in which up direction deviation from vertical is minimum.
The next figure contains frames taken from an unrotated camera, then from rotated 90 degrees clockwise, then from rotated 90 degrees counter-clockwise. Arrows show direction to "true up".
<image>
The next figure shows 90 degrees clockwise turn by FPGA hardware.
<image>
Input
The only line of the input contains one integer x ( - 1018 ≤ x ≤ 1018) — camera angle in degrees. Positive value denotes clockwise camera rotation, negative — counter-clockwise.
Output
Output one integer — the minimum required number of 90 degrees clockwise turns.
Examples
Input
60
Output
1
Input
-60
Output
3
Note
When the camera is rotated 60 degrees counter-clockwise (the second example), an image from it is rotated 60 degrees clockwise. One 90 degrees clockwise turn of the image result in 150 degrees clockwise total rotation and deviation from "true up" for one turn is 150 degrees. Two 90 degrees clockwise turns of the image result in 240 degrees clockwise total rotation and deviation from "true up" for two turns is 120 degrees because 240 degrees clockwise equal to 120 degrees counter-clockwise. Three 90 degrees clockwise turns of the image result in 330 degrees clockwise total rotation and deviation from "true up" for three turns is 30 degrees because 330 degrees clockwise equal to 30 degrees counter-clockwise.
From 60, 150, 120 and 30 degrees deviations the smallest is 30, and it it achieved in three 90 degrees clockwise turns. | #include <bits/stdc++.h>
using namespace std;
int main() {
long long int deg;
cin >> deg;
deg %= 360;
long long int ans[4];
ans[0] = deg;
for (int i = 1; i < 4; i++) ans[i] = ((ans[i - 1] - 90)) % 360;
for (int i = 0; i < 4; i++) ans[i] = abs(ans[i]);
for (int i = 0; i < 4; i++)
if (ans[i] > 180) ans[i] = 360 - ans[i];
int mini = 360;
int k = -1;
for (int i = 0; i < 4; i++)
if (ans[i] < mini) {
mini = ans[i];
k = i;
}
cout << k;
}
| 2C++
| {
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"output": [
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]
} | 2CODEFORCES
|
630_M. Turn_38295 | Vasya started working in a machine vision company of IT City. Vasya's team creates software and hardware for identification of people by their face.
One of the project's know-how is a camera rotating around its optical axis on shooting. People see an eye-catching gadget — a rotating camera — come up to it to see it better, look into it. And the camera takes their photo at that time. What could be better for high quality identification?
But not everything is so simple. The pictures from camera appear rotated too (on clockwise camera rotation frame the content becomes rotated counter-clockwise). But the identification algorithm can work only with faces that are just slightly deviated from vertical.
Vasya was entrusted to correct the situation — to rotate a captured image so that image would be minimally deviated from vertical. Requirements were severe. Firstly, the picture should be rotated only on angle divisible by 90 degrees to not lose a bit of information about the image. Secondly, the frames from the camera are so huge and FPS is so big that adequate rotation speed is provided by hardware FPGA solution only. And this solution can rotate only by 90 degrees clockwise. Of course, one can apply 90 degrees turn several times but for the sake of performance the number of turns should be minimized.
Help Vasya implement the program that by the given rotation angle of the camera can determine the minimum number of 90 degrees clockwise turns necessary to get a picture in which up direction deviation from vertical is minimum.
The next figure contains frames taken from an unrotated camera, then from rotated 90 degrees clockwise, then from rotated 90 degrees counter-clockwise. Arrows show direction to "true up".
<image>
The next figure shows 90 degrees clockwise turn by FPGA hardware.
<image>
Input
The only line of the input contains one integer x ( - 1018 ≤ x ≤ 1018) — camera angle in degrees. Positive value denotes clockwise camera rotation, negative — counter-clockwise.
Output
Output one integer — the minimum required number of 90 degrees clockwise turns.
Examples
Input
60
Output
1
Input
-60
Output
3
Note
When the camera is rotated 60 degrees counter-clockwise (the second example), an image from it is rotated 60 degrees clockwise. One 90 degrees clockwise turn of the image result in 150 degrees clockwise total rotation and deviation from "true up" for one turn is 150 degrees. Two 90 degrees clockwise turns of the image result in 240 degrees clockwise total rotation and deviation from "true up" for two turns is 120 degrees because 240 degrees clockwise equal to 120 degrees counter-clockwise. Three 90 degrees clockwise turns of the image result in 330 degrees clockwise total rotation and deviation from "true up" for three turns is 30 degrees because 330 degrees clockwise equal to 30 degrees counter-clockwise.
From 60, 150, 120 and 30 degrees deviations the smallest is 30, and it it achieved in three 90 degrees clockwise turns. | import math, re, sys, string, operator, functools, fractions, collections
sys.setrecursionlimit(10**7)
dX= [-1, 1, 0, 0,-1, 1,-1, 1]
dY= [ 0, 0,-1, 1, 1,-1,-1, 1]
RI=lambda x=' ': list(map(int,input().split(x)))
RS=lambda x=' ': input().rstrip().split(x)
mod=int(1e9+7)
eps=1e-6
#################################################
x=RI()[0]
x%=360
if x>180:
x=x-360
ans=0
val=abs(x)
for i in range(1,4):
x-=90
if x<-180:
x=360+x
if abs(x)<val:
val=abs(x)
ans=i
print(ans)
| 3Python3
| {
"input": [
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"output": [
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]
} | 2CODEFORCES
|
630_M. Turn_38296 | Vasya started working in a machine vision company of IT City. Vasya's team creates software and hardware for identification of people by their face.
One of the project's know-how is a camera rotating around its optical axis on shooting. People see an eye-catching gadget — a rotating camera — come up to it to see it better, look into it. And the camera takes their photo at that time. What could be better for high quality identification?
But not everything is so simple. The pictures from camera appear rotated too (on clockwise camera rotation frame the content becomes rotated counter-clockwise). But the identification algorithm can work only with faces that are just slightly deviated from vertical.
Vasya was entrusted to correct the situation — to rotate a captured image so that image would be minimally deviated from vertical. Requirements were severe. Firstly, the picture should be rotated only on angle divisible by 90 degrees to not lose a bit of information about the image. Secondly, the frames from the camera are so huge and FPS is so big that adequate rotation speed is provided by hardware FPGA solution only. And this solution can rotate only by 90 degrees clockwise. Of course, one can apply 90 degrees turn several times but for the sake of performance the number of turns should be minimized.
Help Vasya implement the program that by the given rotation angle of the camera can determine the minimum number of 90 degrees clockwise turns necessary to get a picture in which up direction deviation from vertical is minimum.
The next figure contains frames taken from an unrotated camera, then from rotated 90 degrees clockwise, then from rotated 90 degrees counter-clockwise. Arrows show direction to "true up".
<image>
The next figure shows 90 degrees clockwise turn by FPGA hardware.
<image>
Input
The only line of the input contains one integer x ( - 1018 ≤ x ≤ 1018) — camera angle in degrees. Positive value denotes clockwise camera rotation, negative — counter-clockwise.
Output
Output one integer — the minimum required number of 90 degrees clockwise turns.
Examples
Input
60
Output
1
Input
-60
Output
3
Note
When the camera is rotated 60 degrees counter-clockwise (the second example), an image from it is rotated 60 degrees clockwise. One 90 degrees clockwise turn of the image result in 150 degrees clockwise total rotation and deviation from "true up" for one turn is 150 degrees. Two 90 degrees clockwise turns of the image result in 240 degrees clockwise total rotation and deviation from "true up" for two turns is 120 degrees because 240 degrees clockwise equal to 120 degrees counter-clockwise. Three 90 degrees clockwise turns of the image result in 330 degrees clockwise total rotation and deviation from "true up" for three turns is 30 degrees because 330 degrees clockwise equal to 30 degrees counter-clockwise.
From 60, 150, 120 and 30 degrees deviations the smallest is 30, and it it achieved in three 90 degrees clockwise turns. | import java.util.*;
public class CodeForces
{
public static void main(String[] args)
{
Scanner in = new Scanner(System.in);
long angle = in.nextLong();
if(angle < 0 ) angle = 360 - (Math.abs(angle)%360);
else angle = angle%360;
if(angle == 0 || angle == 360) System.out.println(0);
else if( angle <= 45 || angle >= 315) System.out.println(0);
else if( angle <= 135) System.out.println(1);
else if( angle <= 225) System.out.println(2);
else if( angle < 315) System.out.println(3);
}
} | 4JAVA
| {
"input": [
"-60\n",
"60\n",
"6678504591813508\n",
"44\n",
"225\n",
"-45\n",
"-358\n",
"46\n",
"-999999999999999415\n",
"-999999999999999639\n",
"-44\n",
"-999999999999999325\n",
"999999999999999326\n",
"316\n",
"359\n",
"999999999999999416\n",
"-135\n",
"999999999999999639\n",
"-316\n",
"-314\n",
"-313\n",
"134\n",
"0\n",
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"999999999999999596\n",
"-999999999999999640\n",
"999999999999999640\n",
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"999999999999999505\n",
"-360\n",
"479865961765156498\n",
"-201035370138545377\n",
"-999999999999999326\n",
"-136\n",
"-999999999999999506\n",
"999999999999999504\n",
"314\n",
"-46\n",
"441505850043460771\n",
"999999999999999595\n",
"136\n",
"999999999999999340\n",
"-999999999999999416\n",
"272028913373922389\n",
"-224\n",
"201035370138545377\n",
"358\n",
"-441505850043460771\n",
"141460527912396122\n",
"-272028913373922389\n",
"135\n",
"-999999999999999594\n",
"252890591709237675\n",
"-227\n",
"-999999999999999505\n",
"-479865961765156498\n",
"-999999999999999596\n",
"999999999999999506\n",
"45\n",
"226\n",
"-999999999999999595\n",
"224\n",
"-359\n",
"999999999999999415\n",
"999999999999999594\n",
"315\n",
"-361\n",
"999999999999999325\n",
"-999999999999999504\n",
"361\n",
"-225\n",
"-999999999999999340\n",
"360\n",
"-6678504591813508\n",
"-315\n",
"-141460527912396122\n",
"-252890591709237675\n",
"-134\n",
"2944906229956001\n",
"251\n",
"-504\n",
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"6\n",
"-35\n",
"-477564621877249879\n",
"-731911479516817236\n",
"-77\n",
"-855339415526476122\n",
"1723388402989387964\n",
"596\n",
"33\n",
"959624699764823086\n",
"-255\n",
"62673244837271274\n",
"-413\n",
"-410\n",
"-472\n",
"37\n",
"1\n",
"-231\n",
"634496775386813230\n",
"-1315489005576995761\n",
"1118873704423165622\n",
"207\n",
"240\n",
"546277534138071673\n",
"-484\n",
"476754570092225867\n",
"-312513450343933234\n",
"-214320298455044899\n",
"-219\n",
"-1287027209222040878\n",
"266413096245385420\n",
"586\n",
"-29\n",
"397147891104652603\n",
"235722930896035434\n",
"61\n",
"1466312578812176748\n",
"-1503133216326740481\n",
"265550619207158672\n",
"-238\n",
"165806911853237067\n",
"41\n",
"-555854491550879269\n",
"185239521360898918\n",
"-351938669876156567\n",
"25\n",
"-241090077058320052\n",
"394911851966691718\n",
"-400\n",
"-46566207526617020\n",
"-1638150760258347909\n",
"1157187599693957575\n",
"84\n",
"426\n",
"19\n",
"-282\n",
"1267947863483633273\n",
"1479447205276710261\n",
"14\n",
"-607\n",
"1915898940585361562\n",
"-802422614550017389\n",
"707\n",
"-16\n",
"-1070488124117177147\n",
"601\n",
"-7923004858287577\n",
"-186\n",
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"-115\n",
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"9\n",
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"-61\n",
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"94\n",
"-664334082246340020\n",
"-1222371078233263533\n",
"-145\n",
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"631\n",
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"-355\n",
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"-580\n",
"-662\n",
"-746\n",
"66\n",
"2\n",
"-409\n",
"782858836143824647\n"
],
"output": [
"3\n",
"1\n",
"2\n",
"0\n",
"2\n",
"0\n",
"0\n",
"1\n",
"3\n",
"1\n",
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"1\n",
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"3\n",
"1\n",
"3\n",
"3\n",
"3\n",
"2\n",
"0\n",
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"2\n",
"2\n",
"3\n",
"3\n",
"1\n",
"3\n",
"2\n",
"0\n",
"3\n",
"3\n",
"2\n",
"2\n",
"0\n",
"3\n",
"0\n",
"1\n",
"1\n",
"1\n",
"2\n",
"1\n",
"2\n",
"2\n",
"1\n",
"2\n",
"0\n",
"3\n",
"1\n",
"2\n",
"0\n",
"1\n",
"3\n",
"0\n",
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"2\n",
"0\n",
"1\n",
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"0\n",
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"0\n",
"2\n",
"3\n",
"0\n",
"3\n",
"2\n",
"1\n",
"0\n",
"0\n",
"0\n",
"0\n",
"3\n",
"0\n",
"2\n",
"3\n",
"0\n",
"2\n",
"1\n",
"0\n",
"3\n",
"3\n",
"3\n",
"0\n",
"0\n",
"1\n",
"3\n",
"0\n",
"1\n",
"2\n",
"3\n",
"3\n",
"3\n",
"0\n",
"1\n",
"1\n",
"2\n",
"1\n",
"0\n",
"3\n",
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"3\n",
"0\n",
"1\n",
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"1\n",
"3\n",
"0\n",
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"0\n",
"2\n",
"3\n",
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"1\n",
"1\n",
"1\n",
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"1\n",
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"1\n",
"0\n",
"0\n",
"3\n",
"3\n",
"2\n",
"2\n",
"1\n",
"1\n",
"3\n",
"3\n",
"1\n",
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"0\n",
"1\n",
"3\n",
"2\n",
"1\n",
"1\n",
"0\n",
"2\n",
"1\n",
"1\n",
"3\n",
"1\n",
"0\n",
"0\n",
"0\n",
"2\n",
"1\n",
"0\n",
"1\n",
"0\n",
"3\n",
"3\n"
]
} | 2CODEFORCES
|
659_E. New Reform_38297 | Berland has n cities connected by m bidirectional roads. No road connects a city to itself, and each pair of cities is connected by no more than one road. It is not guaranteed that you can get from any city to any other one, using only the existing roads.
The President of Berland decided to make changes to the road system and instructed the Ministry of Transport to make this reform. Now, each road should be unidirectional (only lead from one city to another).
In order not to cause great resentment among residents, the reform needs to be conducted so that there can be as few separate cities as possible. A city is considered separate, if no road leads into it, while it is allowed to have roads leading from this city.
Help the Ministry of Transport to find the minimum possible number of separate cities after the reform.
Input
The first line of the input contains two positive integers, n and m — the number of the cities and the number of roads in Berland (2 ≤ n ≤ 100 000, 1 ≤ m ≤ 100 000).
Next m lines contain the descriptions of the roads: the i-th road is determined by two distinct integers xi, yi (1 ≤ xi, yi ≤ n, xi ≠ yi), where xi and yi are the numbers of the cities connected by the i-th road.
It is guaranteed that there is no more than one road between each pair of cities, but it is not guaranteed that from any city you can get to any other one, using only roads.
Output
Print a single integer — the minimum number of separated cities after the reform.
Examples
Input
4 3
2 1
1 3
4 3
Output
1
Input
5 5
2 1
1 3
2 3
2 5
4 3
Output
0
Input
6 5
1 2
2 3
4 5
4 6
5 6
Output
1
Note
In the first sample the following road orientation is allowed: <image>, <image>, <image>.
The second sample: <image>, <image>, <image>, <image>, <image>.
The third sample: <image>, <image>, <image>, <image>, <image>. | from collections import deque
n,m=map(int, raw_input().split(' '))
Graph=[[] for _ in range(n+1)]
visited=[False]*(n+1)
def dfs(start):
nodes_visited=edges_travelled=0
nodes_visited+=1
visited[start]=True
stack=[]
stack.append(start)
while stack:
i=stack.pop()
for j in Graph[i]:
edges_travelled+=1
if visited[j]:
continue
else:
visited[j]=True
stack.append(j)
nodes_visited+=1
if nodes_visited-1==edges_travelled/2:
return 1
else:
return 0
while(m):
u,v=map(int, raw_input().split(' '))
Graph[u].append(v)
Graph[v].append(u)
m-=1
ans=0
for i in range(1,n+1):
if visited[i]:
continue
ans+=dfs(i)
print ans
| 1Python2
| {
"input": [
"5 5\n2 1\n1 3\n2 3\n2 5\n4 3\n",
"4 3\n2 1\n1 3\n4 3\n",
"6 5\n1 2\n2 3\n4 5\n4 6\n5 6\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n6 8\n5 7\n2 1\n3 7\n5 10\n6 1\n9 4\n3 6\n9 10\n6 7\n1 7\n7 9\n6 9\n9 3\n4 2\n2 6\n5 6\n5 8\n3 4\n10 8\n7 8\n4 6\n9 1\n5 9\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n4 10\n4 1\n10 7\n1 3\n1 8\n10 2\n4 5\n",
"20 20\n16 3\n15 14\n6 14\n13 19\n7 13\n3 13\n3 2\n17 11\n14 20\n19 10\n4 13\n3 8\n18 4\n12 7\n6 3\n11 13\n17 19\n5 14\n9 2\n11 1\n",
"2 1\n1 2\n",
"5 5\n1 2\n2 3\n3 4\n4 5\n5 2\n",
"4 4\n1 2\n2 3\n3 4\n4 1\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n6 8\n5 7\n2 1\n3 7\n5 10\n6 1\n9 4\n3 6\n9 10\n6 7\n1 7\n7 9\n6 9\n9 3\n4 2\n2 6\n5 6\n5 8\n3 4\n10 8\n7 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n4 10\n4 1\n10 7\n1 3\n1 8\n10 2\n4 5\n",
"4 3\n2 1\n2 3\n4 3\n",
"4 4\n1 2\n2 4\n3 4\n4 1\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n6 8\n5 7\n2 1\n3 7\n5 10\n6 1\n9 4\n3 6\n9 10\n6 7\n1 7\n7 9\n6 9\n9 3\n4 2\n2 6\n5 6\n5 8\n3 4\n10 8\n7 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n4 10\n1 1\n10 7\n1 3\n1 8\n10 2\n4 5\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n6 8\n5 7\n2 1\n3 7\n5 10\n6 1\n9 4\n3 6\n2 10\n6 7\n1 7\n7 9\n6 9\n9 3\n4 2\n2 6\n5 6\n5 8\n3 4\n10 8\n7 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n4 10\n1 1\n10 7\n1 3\n1 8\n10 2\n4 5\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n6 8\n5 7\n2 1\n3 7\n5 10\n6 1\n9 4\n3 1\n2 10\n6 7\n1 7\n7 9\n6 9\n9 3\n4 2\n2 6\n5 6\n5 8\n3 4\n10 8\n7 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n4 10\n1 1\n10 7\n1 3\n1 8\n10 2\n4 5\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n6 8\n5 7\n2 1\n3 7\n5 10\n6 1\n9 4\n3 1\n2 10\n6 7\n1 7\n7 9\n6 9\n9 3\n4 2\n2 6\n5 6\n5 8\n3 4\n10 8\n7 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n4 10\n1 1\n10 7\n1 3\n1 8\n10 2\n4 10\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n6 8\n5 7\n2 1\n3 7\n5 10\n6 1\n9 4\n3 1\n2 10\n6 7\n1 7\n7 9\n6 9\n9 3\n4 2\n2 6\n5 6\n5 8\n3 4\n10 8\n7 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n2 10\n1 1\n10 7\n1 3\n1 8\n10 2\n4 10\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n6 8\n5 7\n2 1\n3 7\n5 10\n6 1\n9 8\n3 1\n2 10\n6 7\n1 7\n7 9\n6 9\n9 3\n4 2\n2 6\n5 6\n5 8\n3 4\n10 8\n7 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n2 10\n1 1\n10 7\n1 3\n1 8\n10 2\n4 10\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n6 8\n5 7\n2 1\n3 7\n5 10\n6 1\n9 8\n3 1\n2 10\n6 7\n1 7\n7 9\n6 9\n9 3\n4 2\n2 6\n5 6\n5 8\n6 4\n10 8\n7 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n2 10\n1 1\n10 7\n1 3\n1 8\n10 2\n4 10\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n6 8\n5 7\n2 1\n3 7\n5 10\n6 1\n9 8\n3 1\n2 10\n6 7\n1 7\n7 9\n6 9\n9 3\n2 2\n2 6\n5 6\n5 8\n6 4\n10 8\n7 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n2 10\n1 1\n10 7\n1 3\n1 8\n10 2\n4 10\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n6 8\n5 7\n2 1\n3 7\n5 10\n6 1\n9 8\n3 1\n2 10\n6 7\n1 7\n7 9\n6 9\n9 3\n2 2\n2 6\n5 6\n5 8\n6 4\n10 8\n7 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n9 3\n3 8\n2 10\n1 1\n10 7\n1 3\n1 8\n10 2\n4 10\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n9 8\n5 7\n2 1\n3 7\n5 10\n6 1\n9 4\n3 6\n9 10\n6 7\n1 7\n7 9\n6 9\n9 3\n4 2\n2 6\n5 6\n5 8\n3 4\n10 8\n7 8\n4 6\n9 1\n5 9\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n4 10\n4 1\n10 7\n1 3\n1 8\n10 2\n4 5\n",
"20 20\n16 3\n15 14\n6 14\n13 19\n7 13\n3 13\n3 2\n17 12\n14 20\n19 10\n4 13\n3 8\n18 4\n12 7\n6 3\n11 13\n17 19\n5 14\n9 2\n11 1\n",
"5 5\n2 1\n1 5\n2 3\n2 5\n4 3\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n6 8\n5 7\n2 1\n3 7\n5 10\n6 1\n9 4\n3 7\n9 10\n6 7\n1 7\n7 9\n6 9\n9 3\n4 2\n2 6\n5 6\n5 8\n3 4\n10 8\n7 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n4 10\n4 1\n10 7\n1 3\n1 8\n10 2\n4 5\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n6 8\n5 7\n2 1\n3 7\n5 10\n6 1\n9 4\n3 6\n9 10\n6 7\n1 7\n7 9\n6 9\n9 3\n4 2\n2 6\n5 6\n5 8\n3 4\n10 8\n7 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 4\n10 3\n3 8\n4 10\n1 1\n10 7\n1 3\n1 8\n10 2\n4 5\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n6 8\n5 7\n2 1\n3 7\n5 10\n6 2\n9 4\n3 6\n2 10\n6 7\n1 7\n7 9\n6 9\n9 3\n4 2\n2 6\n5 6\n5 8\n3 4\n10 8\n7 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n4 10\n1 1\n10 7\n1 3\n1 8\n10 2\n4 5\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n6 8\n5 7\n2 1\n3 7\n5 10\n6 1\n9 4\n3 1\n2 10\n6 7\n1 7\n7 9\n6 9\n9 3\n4 2\n2 6\n5 6\n5 8\n1 4\n10 8\n7 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n4 10\n1 1\n10 7\n1 3\n1 8\n10 2\n4 5\n",
"10 45\n3 7\n2 3\n4 8\n2 5\n6 8\n5 7\n2 1\n3 7\n5 10\n6 1\n9 8\n3 1\n2 10\n6 7\n1 7\n7 9\n6 9\n9 3\n2 2\n2 6\n5 6\n5 8\n6 4\n10 8\n7 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n2 10\n1 1\n10 7\n1 3\n1 8\n10 2\n4 10\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n6 8\n5 7\n2 1\n3 7\n5 10\n6 1\n3 8\n3 1\n2 10\n6 7\n1 7\n7 9\n6 9\n9 3\n2 2\n2 6\n5 6\n5 8\n6 4\n10 8\n7 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n9 3\n3 8\n2 10\n1 1\n10 7\n1 3\n1 8\n10 2\n4 10\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n9 8\n5 7\n2 1\n3 7\n5 10\n6 1\n9 4\n3 6\n9 10\n6 7\n1 7\n7 9\n6 8\n9 3\n4 2\n2 6\n5 6\n5 8\n3 4\n10 8\n7 8\n4 6\n9 1\n5 9\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n4 10\n4 1\n10 7\n1 3\n1 8\n10 2\n4 5\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n6 8\n5 7\n2 1\n3 7\n5 10\n6 1\n9 4\n4 6\n9 10\n6 7\n1 7\n7 9\n6 9\n9 3\n4 2\n2 6\n5 6\n5 8\n3 4\n10 8\n7 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 4\n10 3\n3 8\n4 10\n1 1\n10 7\n1 3\n1 8\n10 2\n4 5\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n6 8\n5 7\n2 1\n3 7\n3 10\n6 1\n9 4\n3 1\n2 10\n6 7\n1 7\n7 9\n6 9\n9 3\n4 2\n2 6\n5 6\n5 8\n1 4\n10 8\n7 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n4 10\n1 1\n10 7\n1 3\n1 8\n10 2\n4 5\n",
"10 45\n3 7\n2 3\n4 8\n2 5\n6 8\n7 7\n2 1\n3 7\n5 10\n6 1\n9 8\n3 1\n2 10\n6 7\n1 7\n7 9\n6 9\n9 3\n2 2\n2 6\n5 6\n5 8\n6 4\n10 8\n7 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n2 10\n1 1\n10 7\n1 3\n1 8\n10 2\n4 10\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n6 8\n5 7\n2 1\n3 7\n5 10\n6 1\n3 8\n3 1\n2 10\n6 7\n1 7\n7 9\n6 9\n9 3\n2 2\n2 6\n5 6\n6 8\n6 4\n10 8\n7 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n9 3\n3 8\n2 10\n1 1\n10 7\n1 3\n1 8\n10 2\n4 10\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n9 8\n5 7\n2 1\n3 7\n5 10\n6 1\n9 4\n3 6\n9 10\n6 7\n1 7\n7 9\n6 8\n9 3\n4 2\n2 6\n5 6\n5 8\n3 4\n10 8\n7 8\n4 6\n9 1\n5 9\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 1\n3 8\n4 10\n4 1\n10 7\n1 3\n1 8\n10 2\n4 5\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n6 8\n5 7\n2 1\n3 7\n5 10\n6 1\n9 4\n4 6\n9 10\n6 7\n1 7\n7 9\n6 9\n9 3\n4 2\n2 6\n5 6\n5 8\n3 4\n10 8\n7 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 4\n10 3\n3 8\n4 10\n1 1\n10 7\n1 3\n1 8\n10 3\n4 5\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n6 8\n5 7\n2 1\n3 7\n3 10\n6 1\n9 4\n3 1\n2 10\n6 7\n1 7\n7 9\n6 9\n9 3\n4 2\n2 6\n5 6\n5 8\n1 4\n10 8\n7 8\n4 6\n9 1\n5 5\n9 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n4 10\n1 1\n10 7\n1 3\n1 8\n10 2\n4 5\n",
"10 45\n3 7\n2 3\n4 8\n2 5\n6 8\n7 7\n2 1\n3 7\n5 10\n6 1\n9 3\n3 1\n2 10\n6 7\n1 7\n7 9\n6 9\n9 3\n2 2\n2 6\n5 6\n5 8\n6 4\n10 8\n7 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n2 10\n1 1\n10 7\n1 3\n1 8\n10 2\n4 10\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n6 8\n5 7\n2 1\n3 7\n5 10\n6 1\n3 8\n3 1\n2 10\n6 7\n1 7\n7 9\n6 9\n9 3\n2 2\n2 6\n5 6\n6 8\n6 4\n10 2\n7 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n9 3\n3 8\n2 10\n1 1\n10 7\n1 3\n1 8\n10 2\n4 10\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n9 8\n5 7\n2 1\n3 7\n7 10\n6 1\n9 4\n3 6\n9 10\n6 7\n1 7\n7 9\n6 8\n9 3\n4 2\n2 6\n5 6\n5 8\n3 4\n10 8\n7 8\n4 6\n9 1\n5 9\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 1\n3 8\n4 10\n4 1\n10 7\n1 3\n1 8\n10 2\n4 5\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n6 8\n5 7\n2 1\n3 7\n5 10\n6 1\n9 4\n4 6\n9 10\n6 7\n1 7\n7 9\n6 9\n9 3\n4 2\n2 6\n5 6\n5 8\n3 4\n10 8\n7 8\n6 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 4\n10 3\n3 8\n4 10\n1 1\n10 7\n1 3\n1 8\n10 3\n4 5\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n8 8\n5 7\n2 1\n3 7\n3 10\n6 1\n9 4\n3 1\n2 10\n6 7\n1 7\n7 9\n6 9\n9 3\n4 2\n2 6\n5 6\n5 8\n1 4\n10 8\n7 8\n4 6\n9 1\n5 5\n9 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n4 10\n1 1\n10 7\n1 3\n1 8\n10 2\n4 5\n",
"10 45\n3 7\n2 3\n4 8\n2 5\n6 8\n7 7\n2 1\n3 7\n5 10\n6 2\n9 3\n3 1\n2 10\n6 7\n1 7\n7 9\n6 9\n9 3\n2 2\n2 6\n5 6\n5 8\n6 4\n10 8\n7 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n2 10\n1 1\n10 7\n1 3\n1 8\n10 2\n4 10\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n6 8\n5 7\n2 1\n3 7\n5 10\n6 1\n9 4\n4 6\n9 10\n6 7\n1 7\n7 9\n6 9\n9 3\n4 2\n2 6\n5 6\n5 8\n3 4\n10 8\n9 8\n6 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 4\n10 3\n3 8\n4 10\n1 1\n10 7\n1 3\n1 8\n10 3\n4 5\n",
"10 45\n3 7\n2 3\n4 8\n2 5\n6 8\n7 7\n3 1\n3 7\n5 10\n6 2\n9 3\n3 1\n2 10\n6 7\n1 7\n7 9\n6 9\n9 3\n2 2\n2 6\n5 6\n5 8\n6 4\n10 8\n7 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n2 10\n1 1\n10 7\n1 3\n1 8\n10 2\n4 10\n",
"10 45\n3 7\n2 3\n4 8\n2 5\n6 8\n7 7\n3 1\n3 7\n5 10\n6 2\n9 3\n3 1\n2 10\n6 7\n1 7\n7 9\n6 9\n9 3\n2 2\n2 6\n5 6\n5 8\n6 4\n10 8\n7 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n2 10\n1 1\n10 7\n1 3\n1 8\n10 2\n6 10\n",
"10 45\n3 7\n2 3\n4 8\n2 5\n6 8\n7 7\n3 1\n3 7\n5 10\n6 2\n9 3\n3 1\n2 10\n6 7\n1 7\n7 9\n6 9\n9 3\n2 2\n2 6\n3 6\n5 8\n6 4\n10 8\n7 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n2 10\n1 1\n10 7\n1 3\n1 8\n10 2\n6 10\n",
"10 45\n3 7\n2 3\n4 8\n2 5\n6 8\n7 7\n3 1\n3 7\n5 10\n6 2\n9 3\n3 1\n2 10\n6 7\n1 7\n7 9\n6 9\n9 3\n2 2\n2 6\n3 6\n5 8\n6 8\n10 8\n7 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n2 10\n1 1\n10 7\n1 3\n1 8\n10 2\n6 10\n",
"10 45\n3 7\n2 3\n4 8\n2 5\n6 8\n7 7\n3 1\n3 7\n5 10\n6 2\n9 3\n3 1\n2 10\n6 7\n1 7\n7 9\n6 9\n9 3\n2 2\n2 6\n3 6\n5 8\n6 8\n10 8\n7 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n2 10\n1 1\n10 7\n1 4\n1 8\n10 2\n6 10\n",
"10 45\n3 7\n2 3\n4 8\n2 5\n6 8\n7 7\n3 1\n3 7\n5 10\n6 2\n9 3\n3 1\n2 10\n6 7\n1 7\n7 9\n6 9\n9 3\n2 2\n2 6\n3 6\n5 8\n6 8\n10 8\n7 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 5\n9 8\n1 5\n7 2\n10 3\n3 8\n2 10\n1 1\n10 7\n1 4\n1 8\n10 2\n6 10\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n6 8\n5 7\n2 1\n3 7\n5 10\n6 1\n9 4\n3 6\n9 10\n6 7\n1 7\n7 9\n6 9\n9 3\n4 2\n2 6\n5 6\n5 8\n3 4\n10 8\n7 8\n4 6\n9 1\n5 9\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n4 10\n4 1\n10 7\n1 3\n1 8\n10 2\n4 7\n",
"4 3\n4 1\n1 3\n4 3\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n6 8\n5 7\n2 1\n2 7\n5 10\n6 1\n9 4\n3 6\n9 10\n6 7\n1 7\n7 9\n6 9\n9 3\n4 2\n2 6\n5 6\n5 8\n3 4\n10 8\n7 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n4 10\n4 1\n10 7\n1 3\n1 8\n10 2\n4 5\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n5 8\n5 7\n2 1\n3 7\n5 10\n6 1\n9 4\n3 6\n9 10\n6 7\n1 7\n7 9\n6 9\n9 3\n4 2\n2 6\n5 6\n5 8\n3 4\n10 8\n7 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n4 10\n1 1\n10 7\n1 3\n1 8\n10 2\n4 5\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n6 8\n5 7\n2 1\n3 7\n5 10\n6 1\n9 4\n3 6\n2 10\n6 7\n1 7\n7 9\n6 9\n9 3\n4 2\n2 6\n5 6\n5 1\n3 4\n10 8\n7 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n4 10\n1 1\n10 7\n1 3\n1 8\n10 2\n4 5\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n6 8\n5 7\n2 1\n3 7\n5 10\n6 1\n9 4\n3 1\n2 10\n6 7\n1 7\n7 9\n6 9\n9 3\n4 2\n2 6\n5 6\n5 8\n3 4\n10 8\n7 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 6\n3 8\n2 10\n1 1\n10 7\n1 3\n1 8\n10 2\n4 10\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n6 8\n10 7\n2 1\n3 7\n5 10\n6 1\n9 8\n3 1\n2 10\n6 7\n1 7\n7 9\n6 9\n9 3\n4 2\n2 6\n5 6\n5 8\n3 4\n10 8\n7 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n2 10\n1 1\n10 7\n1 3\n1 8\n10 2\n4 10\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n6 8\n5 7\n2 1\n3 7\n5 10\n6 1\n9 8\n3 1\n2 10\n6 7\n1 7\n7 9\n6 9\n9 3\n2 2\n2 6\n5 6\n5 8\n6 4\n10 8\n7 8\n4 6\n9 1\n5 5\n7 4\n1 9\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n2 10\n1 1\n10 7\n1 3\n1 8\n10 2\n4 10\n",
"10 45\n3 5\n2 3\n4 8\n3 5\n6 8\n5 7\n2 1\n3 7\n5 10\n6 1\n9 8\n3 1\n2 10\n6 7\n1 7\n7 9\n6 9\n9 3\n2 2\n2 6\n5 6\n5 8\n6 4\n10 8\n7 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n9 3\n3 8\n2 10\n1 1\n10 7\n1 3\n1 8\n10 2\n4 10\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n9 8\n5 7\n2 1\n4 7\n5 10\n6 1\n9 4\n3 6\n9 10\n6 7\n1 7\n7 9\n6 9\n9 3\n4 2\n2 6\n5 6\n5 8\n3 4\n10 8\n7 8\n4 6\n9 1\n5 9\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n4 10\n4 1\n10 7\n1 3\n1 8\n10 2\n4 5\n",
"20 20\n16 3\n15 1\n6 14\n13 19\n7 13\n3 13\n3 2\n17 12\n14 20\n19 10\n4 13\n3 8\n18 4\n12 7\n6 3\n11 13\n17 19\n5 14\n9 2\n11 1\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n6 8\n5 7\n4 1\n3 7\n5 10\n6 1\n9 4\n3 7\n9 10\n6 7\n1 7\n7 9\n6 9\n9 3\n4 2\n2 6\n5 6\n5 8\n3 4\n10 8\n7 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n4 10\n4 1\n10 7\n1 3\n1 8\n10 2\n4 5\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n6 8\n5 7\n2 1\n3 7\n5 10\n6 1\n9 4\n3 6\n9 10\n6 7\n1 7\n7 9\n6 9\n9 6\n4 2\n2 6\n5 6\n5 8\n3 4\n10 8\n7 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 4\n10 3\n3 8\n4 10\n1 1\n10 7\n1 3\n1 8\n10 2\n4 5\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n6 8\n5 7\n2 1\n3 7\n5 10\n6 2\n9 4\n3 6\n2 10\n6 7\n1 7\n7 9\n6 9\n9 3\n4 2\n2 6\n5 6\n5 8\n3 4\n10 3\n7 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n4 10\n1 1\n10 7\n1 3\n1 8\n10 2\n4 5\n",
"10 45\n3 7\n2 3\n4 8\n2 5\n6 8\n5 7\n2 1\n3 7\n5 10\n6 1\n9 8\n3 1\n2 10\n6 7\n1 7\n7 9\n6 9\n9 3\n2 2\n2 6\n5 6\n5 8\n6 4\n10 8\n7 8\n4 5\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n2 10\n1 1\n10 7\n1 3\n1 8\n10 2\n4 10\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n6 8\n5 7\n2 1\n3 7\n5 10\n6 1\n3 8\n3 1\n2 10\n6 7\n1 7\n7 9\n6 9\n9 3\n2 2\n2 6\n5 6\n5 8\n6 4\n10 8\n7 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n2 5\n7 2\n9 3\n3 8\n2 10\n1 1\n10 7\n1 3\n1 8\n10 2\n4 10\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n9 8\n5 7\n2 1\n3 7\n5 10\n6 1\n9 4\n3 6\n9 10\n6 7\n1 7\n7 9\n6 8\n9 3\n4 2\n2 6\n5 6\n5 9\n3 4\n10 8\n7 8\n4 6\n9 1\n5 9\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n4 10\n4 1\n10 7\n1 3\n1 8\n10 2\n4 5\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n6 8\n5 7\n2 1\n3 7\n5 10\n6 1\n3 6\n3 1\n2 10\n6 7\n1 7\n7 9\n6 9\n9 3\n2 2\n2 6\n5 6\n6 8\n6 4\n10 8\n7 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n9 3\n3 8\n2 10\n1 1\n10 7\n1 3\n1 8\n10 2\n4 10\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n9 8\n5 7\n2 1\n3 7\n5 10\n6 1\n9 4\n3 6\n9 10\n6 7\n1 7\n7 9\n6 8\n9 3\n4 2\n2 6\n5 6\n3 8\n3 4\n10 8\n7 8\n4 6\n9 1\n5 9\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 1\n3 8\n4 10\n4 1\n10 7\n1 3\n1 8\n10 2\n4 5\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n6 8\n5 7\n2 1\n3 7\n5 10\n6 1\n9 4\n4 6\n9 10\n6 7\n1 7\n7 9\n6 9\n9 3\n4 2\n2 6\n5 6\n5 8\n3 4\n10 8\n7 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 4\n10 3\n3 8\n4 10\n2 1\n10 7\n1 3\n1 8\n10 3\n4 5\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n6 8\n5 7\n2 1\n3 7\n3 10\n6 1\n9 4\n3 1\n2 10\n6 7\n1 7\n7 9\n6 9\n9 3\n4 2\n2 6\n5 6\n5 3\n1 4\n10 8\n7 8\n4 6\n9 1\n5 5\n9 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n4 10\n1 1\n10 7\n1 3\n1 8\n10 2\n4 5\n",
"10 45\n3 7\n2 3\n4 8\n2 5\n6 8\n7 7\n2 1\n3 7\n5 10\n6 1\n9 3\n3 1\n2 10\n6 7\n1 7\n7 9\n6 9\n9 3\n2 2\n2 6\n5 6\n5 8\n6 4\n10 8\n7 8\n4 6\n9 1\n5 5\n7 4\n2 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n2 10\n1 1\n10 7\n1 3\n1 8\n10 2\n4 10\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n8 8\n9 7\n2 1\n3 7\n3 10\n6 1\n9 4\n3 1\n2 10\n6 7\n1 7\n7 9\n6 9\n9 3\n4 2\n2 6\n5 6\n5 8\n1 4\n10 8\n7 8\n4 6\n9 1\n5 5\n9 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n4 10\n1 1\n10 7\n1 3\n1 8\n10 2\n4 5\n",
"10 45\n3 7\n2 3\n4 8\n2 5\n6 8\n7 7\n3 1\n3 7\n5 9\n6 2\n9 3\n3 1\n2 10\n6 7\n1 7\n7 9\n6 9\n9 3\n2 2\n2 6\n5 6\n5 8\n6 4\n10 8\n7 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n2 10\n1 1\n10 7\n1 3\n1 8\n10 2\n4 10\n",
"10 45\n3 7\n2 3\n4 8\n2 5\n6 8\n7 7\n3 1\n3 7\n5 10\n6 2\n9 3\n3 1\n2 10\n6 7\n1 7\n7 9\n6 9\n9 3\n2 2\n2 6\n5 6\n5 8\n6 4\n10 8\n7 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n3 10\n1 1\n10 7\n1 3\n1 8\n10 2\n6 10\n",
"10 45\n3 7\n2 3\n4 8\n2 5\n6 8\n7 7\n3 1\n3 7\n5 10\n6 2\n9 3\n3 1\n2 10\n6 7\n1 7\n7 9\n6 9\n9 3\n2 2\n2 6\n3 6\n5 8\n4 8\n10 8\n7 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n2 10\n1 1\n10 7\n1 3\n1 8\n10 2\n6 10\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n6 8\n5 7\n2 1\n3 7\n5 10\n6 1\n9 4\n3 6\n9 10\n6 7\n1 7\n7 9\n6 9\n9 3\n4 2\n2 6\n5 6\n5 8\n3 4\n10 8\n7 8\n8 6\n9 1\n5 9\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n4 10\n4 1\n10 7\n1 3\n1 8\n10 2\n4 7\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n6 8\n5 7\n2 1\n2 7\n5 10\n6 1\n9 4\n3 6\n9 10\n6 7\n1 7\n7 9\n6 9\n9 3\n4 2\n2 6\n5 6\n5 8\n3 4\n10 8\n8 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n4 10\n4 1\n10 7\n1 3\n1 8\n10 2\n4 5\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n5 8\n5 7\n2 1\n3 7\n5 10\n6 1\n9 4\n3 6\n9 10\n6 7\n1 7\n7 9\n6 9\n9 3\n4 2\n2 6\n5 6\n5 8\n3 4\n10 8\n7 3\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n4 10\n1 1\n10 7\n1 3\n1 8\n10 2\n4 5\n",
"10 45\n3 5\n1 3\n4 8\n2 5\n6 8\n5 7\n2 1\n3 7\n5 10\n6 1\n9 4\n3 1\n2 10\n6 7\n1 7\n7 9\n6 9\n9 3\n4 2\n2 6\n5 6\n5 8\n3 4\n10 8\n7 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 6\n3 8\n2 10\n1 1\n10 7\n1 3\n1 8\n10 2\n4 10\n",
"10 45\n3 5\n2 3\n4 8\n3 5\n6 8\n5 7\n2 1\n3 7\n5 10\n6 1\n9 8\n3 1\n2 10\n8 7\n1 7\n7 9\n6 9\n9 3\n2 2\n2 6\n5 6\n5 8\n6 4\n10 8\n7 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n9 3\n3 8\n2 10\n1 1\n10 7\n1 3\n1 8\n10 2\n4 10\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n9 8\n5 7\n2 1\n4 7\n5 10\n6 2\n9 4\n3 6\n9 10\n6 7\n1 7\n7 9\n6 9\n9 3\n4 2\n2 6\n5 6\n5 8\n3 4\n10 8\n7 8\n4 6\n9 1\n5 9\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n4 10\n4 1\n10 7\n1 3\n1 8\n10 2\n4 5\n",
"20 20\n16 3\n15 1\n6 14\n13 19\n7 13\n3 13\n3 2\n17 12\n14 20\n19 10\n4 11\n3 8\n18 4\n12 7\n6 3\n11 13\n17 19\n5 14\n9 2\n11 1\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n6 7\n5 7\n4 1\n3 7\n5 10\n6 1\n9 4\n3 7\n9 10\n6 7\n1 7\n7 9\n6 9\n9 3\n4 2\n2 6\n5 6\n5 8\n3 4\n10 8\n7 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n4 10\n4 1\n10 7\n1 3\n1 8\n10 2\n4 5\n"
],
"output": [
"0",
"1",
"1",
"0",
"0",
"1",
"0",
"0",
"0\n",
"1\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"1\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n"
]
} | 2CODEFORCES
|
659_E. New Reform_38298 | Berland has n cities connected by m bidirectional roads. No road connects a city to itself, and each pair of cities is connected by no more than one road. It is not guaranteed that you can get from any city to any other one, using only the existing roads.
The President of Berland decided to make changes to the road system and instructed the Ministry of Transport to make this reform. Now, each road should be unidirectional (only lead from one city to another).
In order not to cause great resentment among residents, the reform needs to be conducted so that there can be as few separate cities as possible. A city is considered separate, if no road leads into it, while it is allowed to have roads leading from this city.
Help the Ministry of Transport to find the minimum possible number of separate cities after the reform.
Input
The first line of the input contains two positive integers, n and m — the number of the cities and the number of roads in Berland (2 ≤ n ≤ 100 000, 1 ≤ m ≤ 100 000).
Next m lines contain the descriptions of the roads: the i-th road is determined by two distinct integers xi, yi (1 ≤ xi, yi ≤ n, xi ≠ yi), where xi and yi are the numbers of the cities connected by the i-th road.
It is guaranteed that there is no more than one road between each pair of cities, but it is not guaranteed that from any city you can get to any other one, using only roads.
Output
Print a single integer — the minimum number of separated cities after the reform.
Examples
Input
4 3
2 1
1 3
4 3
Output
1
Input
5 5
2 1
1 3
2 3
2 5
4 3
Output
0
Input
6 5
1 2
2 3
4 5
4 6
5 6
Output
1
Note
In the first sample the following road orientation is allowed: <image>, <image>, <image>.
The second sample: <image>, <image>, <image>, <image>, <image>.
The third sample: <image>, <image>, <image>, <image>, <image>. | #include <bits/stdc++.h>
using namespace std;
int N, M;
bool group[100001];
bool trip[100001];
vector<int> Map[100001];
bool flag;
void search(int v, int par) {
group[v] = true;
trip[v] = true;
for (int i = 0; i < Map[v].size(); i++) {
int now = Map[v][i];
if (now == par) continue;
if (trip[now]) flag = true;
if (!group[now]) search(now, v);
}
trip[v] = false;
}
int main() {
scanf("%d%d", &N, &M);
int a, b;
for (int i = 0; i < M; i++) {
scanf("%d%d", &a, &b);
Map[a].push_back(b);
Map[b].push_back(a);
}
int ans = 0;
for (int i = 1; i <= N; i++)
if (!group[i]) {
flag = false;
search(i, 0);
if (!flag) ans++;
}
printf("%d\n", ans);
return 0;
}
| 2C++
| {
"input": [
"5 5\n2 1\n1 3\n2 3\n2 5\n4 3\n",
"4 3\n2 1\n1 3\n4 3\n",
"6 5\n1 2\n2 3\n4 5\n4 6\n5 6\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n6 8\n5 7\n2 1\n3 7\n5 10\n6 1\n9 4\n3 6\n9 10\n6 7\n1 7\n7 9\n6 9\n9 3\n4 2\n2 6\n5 6\n5 8\n3 4\n10 8\n7 8\n4 6\n9 1\n5 9\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n4 10\n4 1\n10 7\n1 3\n1 8\n10 2\n4 5\n",
"20 20\n16 3\n15 14\n6 14\n13 19\n7 13\n3 13\n3 2\n17 11\n14 20\n19 10\n4 13\n3 8\n18 4\n12 7\n6 3\n11 13\n17 19\n5 14\n9 2\n11 1\n",
"2 1\n1 2\n",
"5 5\n1 2\n2 3\n3 4\n4 5\n5 2\n",
"4 4\n1 2\n2 3\n3 4\n4 1\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n6 8\n5 7\n2 1\n3 7\n5 10\n6 1\n9 4\n3 6\n9 10\n6 7\n1 7\n7 9\n6 9\n9 3\n4 2\n2 6\n5 6\n5 8\n3 4\n10 8\n7 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n4 10\n4 1\n10 7\n1 3\n1 8\n10 2\n4 5\n",
"4 3\n2 1\n2 3\n4 3\n",
"4 4\n1 2\n2 4\n3 4\n4 1\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n6 8\n5 7\n2 1\n3 7\n5 10\n6 1\n9 4\n3 6\n9 10\n6 7\n1 7\n7 9\n6 9\n9 3\n4 2\n2 6\n5 6\n5 8\n3 4\n10 8\n7 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n4 10\n1 1\n10 7\n1 3\n1 8\n10 2\n4 5\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n6 8\n5 7\n2 1\n3 7\n5 10\n6 1\n9 4\n3 6\n2 10\n6 7\n1 7\n7 9\n6 9\n9 3\n4 2\n2 6\n5 6\n5 8\n3 4\n10 8\n7 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n4 10\n1 1\n10 7\n1 3\n1 8\n10 2\n4 5\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n6 8\n5 7\n2 1\n3 7\n5 10\n6 1\n9 4\n3 1\n2 10\n6 7\n1 7\n7 9\n6 9\n9 3\n4 2\n2 6\n5 6\n5 8\n3 4\n10 8\n7 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n4 10\n1 1\n10 7\n1 3\n1 8\n10 2\n4 5\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n6 8\n5 7\n2 1\n3 7\n5 10\n6 1\n9 4\n3 1\n2 10\n6 7\n1 7\n7 9\n6 9\n9 3\n4 2\n2 6\n5 6\n5 8\n3 4\n10 8\n7 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n4 10\n1 1\n10 7\n1 3\n1 8\n10 2\n4 10\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n6 8\n5 7\n2 1\n3 7\n5 10\n6 1\n9 4\n3 1\n2 10\n6 7\n1 7\n7 9\n6 9\n9 3\n4 2\n2 6\n5 6\n5 8\n3 4\n10 8\n7 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n2 10\n1 1\n10 7\n1 3\n1 8\n10 2\n4 10\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n6 8\n5 7\n2 1\n3 7\n5 10\n6 1\n9 8\n3 1\n2 10\n6 7\n1 7\n7 9\n6 9\n9 3\n4 2\n2 6\n5 6\n5 8\n3 4\n10 8\n7 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n2 10\n1 1\n10 7\n1 3\n1 8\n10 2\n4 10\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n6 8\n5 7\n2 1\n3 7\n5 10\n6 1\n9 8\n3 1\n2 10\n6 7\n1 7\n7 9\n6 9\n9 3\n4 2\n2 6\n5 6\n5 8\n6 4\n10 8\n7 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n2 10\n1 1\n10 7\n1 3\n1 8\n10 2\n4 10\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n6 8\n5 7\n2 1\n3 7\n5 10\n6 1\n9 8\n3 1\n2 10\n6 7\n1 7\n7 9\n6 9\n9 3\n2 2\n2 6\n5 6\n5 8\n6 4\n10 8\n7 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n2 10\n1 1\n10 7\n1 3\n1 8\n10 2\n4 10\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n6 8\n5 7\n2 1\n3 7\n5 10\n6 1\n9 8\n3 1\n2 10\n6 7\n1 7\n7 9\n6 9\n9 3\n2 2\n2 6\n5 6\n5 8\n6 4\n10 8\n7 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n9 3\n3 8\n2 10\n1 1\n10 7\n1 3\n1 8\n10 2\n4 10\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n9 8\n5 7\n2 1\n3 7\n5 10\n6 1\n9 4\n3 6\n9 10\n6 7\n1 7\n7 9\n6 9\n9 3\n4 2\n2 6\n5 6\n5 8\n3 4\n10 8\n7 8\n4 6\n9 1\n5 9\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n4 10\n4 1\n10 7\n1 3\n1 8\n10 2\n4 5\n",
"20 20\n16 3\n15 14\n6 14\n13 19\n7 13\n3 13\n3 2\n17 12\n14 20\n19 10\n4 13\n3 8\n18 4\n12 7\n6 3\n11 13\n17 19\n5 14\n9 2\n11 1\n",
"5 5\n2 1\n1 5\n2 3\n2 5\n4 3\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n6 8\n5 7\n2 1\n3 7\n5 10\n6 1\n9 4\n3 7\n9 10\n6 7\n1 7\n7 9\n6 9\n9 3\n4 2\n2 6\n5 6\n5 8\n3 4\n10 8\n7 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n4 10\n4 1\n10 7\n1 3\n1 8\n10 2\n4 5\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n6 8\n5 7\n2 1\n3 7\n5 10\n6 1\n9 4\n3 6\n9 10\n6 7\n1 7\n7 9\n6 9\n9 3\n4 2\n2 6\n5 6\n5 8\n3 4\n10 8\n7 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 4\n10 3\n3 8\n4 10\n1 1\n10 7\n1 3\n1 8\n10 2\n4 5\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n6 8\n5 7\n2 1\n3 7\n5 10\n6 2\n9 4\n3 6\n2 10\n6 7\n1 7\n7 9\n6 9\n9 3\n4 2\n2 6\n5 6\n5 8\n3 4\n10 8\n7 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n4 10\n1 1\n10 7\n1 3\n1 8\n10 2\n4 5\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n6 8\n5 7\n2 1\n3 7\n5 10\n6 1\n9 4\n3 1\n2 10\n6 7\n1 7\n7 9\n6 9\n9 3\n4 2\n2 6\n5 6\n5 8\n1 4\n10 8\n7 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n4 10\n1 1\n10 7\n1 3\n1 8\n10 2\n4 5\n",
"10 45\n3 7\n2 3\n4 8\n2 5\n6 8\n5 7\n2 1\n3 7\n5 10\n6 1\n9 8\n3 1\n2 10\n6 7\n1 7\n7 9\n6 9\n9 3\n2 2\n2 6\n5 6\n5 8\n6 4\n10 8\n7 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n2 10\n1 1\n10 7\n1 3\n1 8\n10 2\n4 10\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n6 8\n5 7\n2 1\n3 7\n5 10\n6 1\n3 8\n3 1\n2 10\n6 7\n1 7\n7 9\n6 9\n9 3\n2 2\n2 6\n5 6\n5 8\n6 4\n10 8\n7 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n9 3\n3 8\n2 10\n1 1\n10 7\n1 3\n1 8\n10 2\n4 10\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n9 8\n5 7\n2 1\n3 7\n5 10\n6 1\n9 4\n3 6\n9 10\n6 7\n1 7\n7 9\n6 8\n9 3\n4 2\n2 6\n5 6\n5 8\n3 4\n10 8\n7 8\n4 6\n9 1\n5 9\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n4 10\n4 1\n10 7\n1 3\n1 8\n10 2\n4 5\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n6 8\n5 7\n2 1\n3 7\n5 10\n6 1\n9 4\n4 6\n9 10\n6 7\n1 7\n7 9\n6 9\n9 3\n4 2\n2 6\n5 6\n5 8\n3 4\n10 8\n7 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 4\n10 3\n3 8\n4 10\n1 1\n10 7\n1 3\n1 8\n10 2\n4 5\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n6 8\n5 7\n2 1\n3 7\n3 10\n6 1\n9 4\n3 1\n2 10\n6 7\n1 7\n7 9\n6 9\n9 3\n4 2\n2 6\n5 6\n5 8\n1 4\n10 8\n7 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n4 10\n1 1\n10 7\n1 3\n1 8\n10 2\n4 5\n",
"10 45\n3 7\n2 3\n4 8\n2 5\n6 8\n7 7\n2 1\n3 7\n5 10\n6 1\n9 8\n3 1\n2 10\n6 7\n1 7\n7 9\n6 9\n9 3\n2 2\n2 6\n5 6\n5 8\n6 4\n10 8\n7 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n2 10\n1 1\n10 7\n1 3\n1 8\n10 2\n4 10\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n6 8\n5 7\n2 1\n3 7\n5 10\n6 1\n3 8\n3 1\n2 10\n6 7\n1 7\n7 9\n6 9\n9 3\n2 2\n2 6\n5 6\n6 8\n6 4\n10 8\n7 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n9 3\n3 8\n2 10\n1 1\n10 7\n1 3\n1 8\n10 2\n4 10\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n9 8\n5 7\n2 1\n3 7\n5 10\n6 1\n9 4\n3 6\n9 10\n6 7\n1 7\n7 9\n6 8\n9 3\n4 2\n2 6\n5 6\n5 8\n3 4\n10 8\n7 8\n4 6\n9 1\n5 9\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 1\n3 8\n4 10\n4 1\n10 7\n1 3\n1 8\n10 2\n4 5\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n6 8\n5 7\n2 1\n3 7\n5 10\n6 1\n9 4\n4 6\n9 10\n6 7\n1 7\n7 9\n6 9\n9 3\n4 2\n2 6\n5 6\n5 8\n3 4\n10 8\n7 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 4\n10 3\n3 8\n4 10\n1 1\n10 7\n1 3\n1 8\n10 3\n4 5\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n6 8\n5 7\n2 1\n3 7\n3 10\n6 1\n9 4\n3 1\n2 10\n6 7\n1 7\n7 9\n6 9\n9 3\n4 2\n2 6\n5 6\n5 8\n1 4\n10 8\n7 8\n4 6\n9 1\n5 5\n9 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n4 10\n1 1\n10 7\n1 3\n1 8\n10 2\n4 5\n",
"10 45\n3 7\n2 3\n4 8\n2 5\n6 8\n7 7\n2 1\n3 7\n5 10\n6 1\n9 3\n3 1\n2 10\n6 7\n1 7\n7 9\n6 9\n9 3\n2 2\n2 6\n5 6\n5 8\n6 4\n10 8\n7 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n2 10\n1 1\n10 7\n1 3\n1 8\n10 2\n4 10\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n6 8\n5 7\n2 1\n3 7\n5 10\n6 1\n3 8\n3 1\n2 10\n6 7\n1 7\n7 9\n6 9\n9 3\n2 2\n2 6\n5 6\n6 8\n6 4\n10 2\n7 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n9 3\n3 8\n2 10\n1 1\n10 7\n1 3\n1 8\n10 2\n4 10\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n9 8\n5 7\n2 1\n3 7\n7 10\n6 1\n9 4\n3 6\n9 10\n6 7\n1 7\n7 9\n6 8\n9 3\n4 2\n2 6\n5 6\n5 8\n3 4\n10 8\n7 8\n4 6\n9 1\n5 9\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 1\n3 8\n4 10\n4 1\n10 7\n1 3\n1 8\n10 2\n4 5\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n6 8\n5 7\n2 1\n3 7\n5 10\n6 1\n9 4\n4 6\n9 10\n6 7\n1 7\n7 9\n6 9\n9 3\n4 2\n2 6\n5 6\n5 8\n3 4\n10 8\n7 8\n6 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 4\n10 3\n3 8\n4 10\n1 1\n10 7\n1 3\n1 8\n10 3\n4 5\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n8 8\n5 7\n2 1\n3 7\n3 10\n6 1\n9 4\n3 1\n2 10\n6 7\n1 7\n7 9\n6 9\n9 3\n4 2\n2 6\n5 6\n5 8\n1 4\n10 8\n7 8\n4 6\n9 1\n5 5\n9 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n4 10\n1 1\n10 7\n1 3\n1 8\n10 2\n4 5\n",
"10 45\n3 7\n2 3\n4 8\n2 5\n6 8\n7 7\n2 1\n3 7\n5 10\n6 2\n9 3\n3 1\n2 10\n6 7\n1 7\n7 9\n6 9\n9 3\n2 2\n2 6\n5 6\n5 8\n6 4\n10 8\n7 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n2 10\n1 1\n10 7\n1 3\n1 8\n10 2\n4 10\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n6 8\n5 7\n2 1\n3 7\n5 10\n6 1\n9 4\n4 6\n9 10\n6 7\n1 7\n7 9\n6 9\n9 3\n4 2\n2 6\n5 6\n5 8\n3 4\n10 8\n9 8\n6 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 4\n10 3\n3 8\n4 10\n1 1\n10 7\n1 3\n1 8\n10 3\n4 5\n",
"10 45\n3 7\n2 3\n4 8\n2 5\n6 8\n7 7\n3 1\n3 7\n5 10\n6 2\n9 3\n3 1\n2 10\n6 7\n1 7\n7 9\n6 9\n9 3\n2 2\n2 6\n5 6\n5 8\n6 4\n10 8\n7 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n2 10\n1 1\n10 7\n1 3\n1 8\n10 2\n4 10\n",
"10 45\n3 7\n2 3\n4 8\n2 5\n6 8\n7 7\n3 1\n3 7\n5 10\n6 2\n9 3\n3 1\n2 10\n6 7\n1 7\n7 9\n6 9\n9 3\n2 2\n2 6\n5 6\n5 8\n6 4\n10 8\n7 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n2 10\n1 1\n10 7\n1 3\n1 8\n10 2\n6 10\n",
"10 45\n3 7\n2 3\n4 8\n2 5\n6 8\n7 7\n3 1\n3 7\n5 10\n6 2\n9 3\n3 1\n2 10\n6 7\n1 7\n7 9\n6 9\n9 3\n2 2\n2 6\n3 6\n5 8\n6 4\n10 8\n7 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n2 10\n1 1\n10 7\n1 3\n1 8\n10 2\n6 10\n",
"10 45\n3 7\n2 3\n4 8\n2 5\n6 8\n7 7\n3 1\n3 7\n5 10\n6 2\n9 3\n3 1\n2 10\n6 7\n1 7\n7 9\n6 9\n9 3\n2 2\n2 6\n3 6\n5 8\n6 8\n10 8\n7 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n2 10\n1 1\n10 7\n1 3\n1 8\n10 2\n6 10\n",
"10 45\n3 7\n2 3\n4 8\n2 5\n6 8\n7 7\n3 1\n3 7\n5 10\n6 2\n9 3\n3 1\n2 10\n6 7\n1 7\n7 9\n6 9\n9 3\n2 2\n2 6\n3 6\n5 8\n6 8\n10 8\n7 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n2 10\n1 1\n10 7\n1 4\n1 8\n10 2\n6 10\n",
"10 45\n3 7\n2 3\n4 8\n2 5\n6 8\n7 7\n3 1\n3 7\n5 10\n6 2\n9 3\n3 1\n2 10\n6 7\n1 7\n7 9\n6 9\n9 3\n2 2\n2 6\n3 6\n5 8\n6 8\n10 8\n7 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 5\n9 8\n1 5\n7 2\n10 3\n3 8\n2 10\n1 1\n10 7\n1 4\n1 8\n10 2\n6 10\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n6 8\n5 7\n2 1\n3 7\n5 10\n6 1\n9 4\n3 6\n9 10\n6 7\n1 7\n7 9\n6 9\n9 3\n4 2\n2 6\n5 6\n5 8\n3 4\n10 8\n7 8\n4 6\n9 1\n5 9\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n4 10\n4 1\n10 7\n1 3\n1 8\n10 2\n4 7\n",
"4 3\n4 1\n1 3\n4 3\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n6 8\n5 7\n2 1\n2 7\n5 10\n6 1\n9 4\n3 6\n9 10\n6 7\n1 7\n7 9\n6 9\n9 3\n4 2\n2 6\n5 6\n5 8\n3 4\n10 8\n7 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n4 10\n4 1\n10 7\n1 3\n1 8\n10 2\n4 5\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n5 8\n5 7\n2 1\n3 7\n5 10\n6 1\n9 4\n3 6\n9 10\n6 7\n1 7\n7 9\n6 9\n9 3\n4 2\n2 6\n5 6\n5 8\n3 4\n10 8\n7 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n4 10\n1 1\n10 7\n1 3\n1 8\n10 2\n4 5\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n6 8\n5 7\n2 1\n3 7\n5 10\n6 1\n9 4\n3 6\n2 10\n6 7\n1 7\n7 9\n6 9\n9 3\n4 2\n2 6\n5 6\n5 1\n3 4\n10 8\n7 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n4 10\n1 1\n10 7\n1 3\n1 8\n10 2\n4 5\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n6 8\n5 7\n2 1\n3 7\n5 10\n6 1\n9 4\n3 1\n2 10\n6 7\n1 7\n7 9\n6 9\n9 3\n4 2\n2 6\n5 6\n5 8\n3 4\n10 8\n7 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 6\n3 8\n2 10\n1 1\n10 7\n1 3\n1 8\n10 2\n4 10\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n6 8\n10 7\n2 1\n3 7\n5 10\n6 1\n9 8\n3 1\n2 10\n6 7\n1 7\n7 9\n6 9\n9 3\n4 2\n2 6\n5 6\n5 8\n3 4\n10 8\n7 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n2 10\n1 1\n10 7\n1 3\n1 8\n10 2\n4 10\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n6 8\n5 7\n2 1\n3 7\n5 10\n6 1\n9 8\n3 1\n2 10\n6 7\n1 7\n7 9\n6 9\n9 3\n2 2\n2 6\n5 6\n5 8\n6 4\n10 8\n7 8\n4 6\n9 1\n5 5\n7 4\n1 9\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n2 10\n1 1\n10 7\n1 3\n1 8\n10 2\n4 10\n",
"10 45\n3 5\n2 3\n4 8\n3 5\n6 8\n5 7\n2 1\n3 7\n5 10\n6 1\n9 8\n3 1\n2 10\n6 7\n1 7\n7 9\n6 9\n9 3\n2 2\n2 6\n5 6\n5 8\n6 4\n10 8\n7 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n9 3\n3 8\n2 10\n1 1\n10 7\n1 3\n1 8\n10 2\n4 10\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n9 8\n5 7\n2 1\n4 7\n5 10\n6 1\n9 4\n3 6\n9 10\n6 7\n1 7\n7 9\n6 9\n9 3\n4 2\n2 6\n5 6\n5 8\n3 4\n10 8\n7 8\n4 6\n9 1\n5 9\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n4 10\n4 1\n10 7\n1 3\n1 8\n10 2\n4 5\n",
"20 20\n16 3\n15 1\n6 14\n13 19\n7 13\n3 13\n3 2\n17 12\n14 20\n19 10\n4 13\n3 8\n18 4\n12 7\n6 3\n11 13\n17 19\n5 14\n9 2\n11 1\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n6 8\n5 7\n4 1\n3 7\n5 10\n6 1\n9 4\n3 7\n9 10\n6 7\n1 7\n7 9\n6 9\n9 3\n4 2\n2 6\n5 6\n5 8\n3 4\n10 8\n7 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n4 10\n4 1\n10 7\n1 3\n1 8\n10 2\n4 5\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n6 8\n5 7\n2 1\n3 7\n5 10\n6 1\n9 4\n3 6\n9 10\n6 7\n1 7\n7 9\n6 9\n9 6\n4 2\n2 6\n5 6\n5 8\n3 4\n10 8\n7 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 4\n10 3\n3 8\n4 10\n1 1\n10 7\n1 3\n1 8\n10 2\n4 5\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n6 8\n5 7\n2 1\n3 7\n5 10\n6 2\n9 4\n3 6\n2 10\n6 7\n1 7\n7 9\n6 9\n9 3\n4 2\n2 6\n5 6\n5 8\n3 4\n10 3\n7 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n4 10\n1 1\n10 7\n1 3\n1 8\n10 2\n4 5\n",
"10 45\n3 7\n2 3\n4 8\n2 5\n6 8\n5 7\n2 1\n3 7\n5 10\n6 1\n9 8\n3 1\n2 10\n6 7\n1 7\n7 9\n6 9\n9 3\n2 2\n2 6\n5 6\n5 8\n6 4\n10 8\n7 8\n4 5\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n2 10\n1 1\n10 7\n1 3\n1 8\n10 2\n4 10\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n6 8\n5 7\n2 1\n3 7\n5 10\n6 1\n3 8\n3 1\n2 10\n6 7\n1 7\n7 9\n6 9\n9 3\n2 2\n2 6\n5 6\n5 8\n6 4\n10 8\n7 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n2 5\n7 2\n9 3\n3 8\n2 10\n1 1\n10 7\n1 3\n1 8\n10 2\n4 10\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n9 8\n5 7\n2 1\n3 7\n5 10\n6 1\n9 4\n3 6\n9 10\n6 7\n1 7\n7 9\n6 8\n9 3\n4 2\n2 6\n5 6\n5 9\n3 4\n10 8\n7 8\n4 6\n9 1\n5 9\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n4 10\n4 1\n10 7\n1 3\n1 8\n10 2\n4 5\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n6 8\n5 7\n2 1\n3 7\n5 10\n6 1\n3 6\n3 1\n2 10\n6 7\n1 7\n7 9\n6 9\n9 3\n2 2\n2 6\n5 6\n6 8\n6 4\n10 8\n7 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n9 3\n3 8\n2 10\n1 1\n10 7\n1 3\n1 8\n10 2\n4 10\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n9 8\n5 7\n2 1\n3 7\n5 10\n6 1\n9 4\n3 6\n9 10\n6 7\n1 7\n7 9\n6 8\n9 3\n4 2\n2 6\n5 6\n3 8\n3 4\n10 8\n7 8\n4 6\n9 1\n5 9\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 1\n3 8\n4 10\n4 1\n10 7\n1 3\n1 8\n10 2\n4 5\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n6 8\n5 7\n2 1\n3 7\n5 10\n6 1\n9 4\n4 6\n9 10\n6 7\n1 7\n7 9\n6 9\n9 3\n4 2\n2 6\n5 6\n5 8\n3 4\n10 8\n7 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 4\n10 3\n3 8\n4 10\n2 1\n10 7\n1 3\n1 8\n10 3\n4 5\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n6 8\n5 7\n2 1\n3 7\n3 10\n6 1\n9 4\n3 1\n2 10\n6 7\n1 7\n7 9\n6 9\n9 3\n4 2\n2 6\n5 6\n5 3\n1 4\n10 8\n7 8\n4 6\n9 1\n5 5\n9 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n4 10\n1 1\n10 7\n1 3\n1 8\n10 2\n4 5\n",
"10 45\n3 7\n2 3\n4 8\n2 5\n6 8\n7 7\n2 1\n3 7\n5 10\n6 1\n9 3\n3 1\n2 10\n6 7\n1 7\n7 9\n6 9\n9 3\n2 2\n2 6\n5 6\n5 8\n6 4\n10 8\n7 8\n4 6\n9 1\n5 5\n7 4\n2 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n2 10\n1 1\n10 7\n1 3\n1 8\n10 2\n4 10\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n8 8\n9 7\n2 1\n3 7\n3 10\n6 1\n9 4\n3 1\n2 10\n6 7\n1 7\n7 9\n6 9\n9 3\n4 2\n2 6\n5 6\n5 8\n1 4\n10 8\n7 8\n4 6\n9 1\n5 5\n9 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n4 10\n1 1\n10 7\n1 3\n1 8\n10 2\n4 5\n",
"10 45\n3 7\n2 3\n4 8\n2 5\n6 8\n7 7\n3 1\n3 7\n5 9\n6 2\n9 3\n3 1\n2 10\n6 7\n1 7\n7 9\n6 9\n9 3\n2 2\n2 6\n5 6\n5 8\n6 4\n10 8\n7 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n2 10\n1 1\n10 7\n1 3\n1 8\n10 2\n4 10\n",
"10 45\n3 7\n2 3\n4 8\n2 5\n6 8\n7 7\n3 1\n3 7\n5 10\n6 2\n9 3\n3 1\n2 10\n6 7\n1 7\n7 9\n6 9\n9 3\n2 2\n2 6\n5 6\n5 8\n6 4\n10 8\n7 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n3 10\n1 1\n10 7\n1 3\n1 8\n10 2\n6 10\n",
"10 45\n3 7\n2 3\n4 8\n2 5\n6 8\n7 7\n3 1\n3 7\n5 10\n6 2\n9 3\n3 1\n2 10\n6 7\n1 7\n7 9\n6 9\n9 3\n2 2\n2 6\n3 6\n5 8\n4 8\n10 8\n7 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n2 10\n1 1\n10 7\n1 3\n1 8\n10 2\n6 10\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n6 8\n5 7\n2 1\n3 7\n5 10\n6 1\n9 4\n3 6\n9 10\n6 7\n1 7\n7 9\n6 9\n9 3\n4 2\n2 6\n5 6\n5 8\n3 4\n10 8\n7 8\n8 6\n9 1\n5 9\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n4 10\n4 1\n10 7\n1 3\n1 8\n10 2\n4 7\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n6 8\n5 7\n2 1\n2 7\n5 10\n6 1\n9 4\n3 6\n9 10\n6 7\n1 7\n7 9\n6 9\n9 3\n4 2\n2 6\n5 6\n5 8\n3 4\n10 8\n8 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n4 10\n4 1\n10 7\n1 3\n1 8\n10 2\n4 5\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n5 8\n5 7\n2 1\n3 7\n5 10\n6 1\n9 4\n3 6\n9 10\n6 7\n1 7\n7 9\n6 9\n9 3\n4 2\n2 6\n5 6\n5 8\n3 4\n10 8\n7 3\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n4 10\n1 1\n10 7\n1 3\n1 8\n10 2\n4 5\n",
"10 45\n3 5\n1 3\n4 8\n2 5\n6 8\n5 7\n2 1\n3 7\n5 10\n6 1\n9 4\n3 1\n2 10\n6 7\n1 7\n7 9\n6 9\n9 3\n4 2\n2 6\n5 6\n5 8\n3 4\n10 8\n7 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 6\n3 8\n2 10\n1 1\n10 7\n1 3\n1 8\n10 2\n4 10\n",
"10 45\n3 5\n2 3\n4 8\n3 5\n6 8\n5 7\n2 1\n3 7\n5 10\n6 1\n9 8\n3 1\n2 10\n8 7\n1 7\n7 9\n6 9\n9 3\n2 2\n2 6\n5 6\n5 8\n6 4\n10 8\n7 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n9 3\n3 8\n2 10\n1 1\n10 7\n1 3\n1 8\n10 2\n4 10\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n9 8\n5 7\n2 1\n4 7\n5 10\n6 2\n9 4\n3 6\n9 10\n6 7\n1 7\n7 9\n6 9\n9 3\n4 2\n2 6\n5 6\n5 8\n3 4\n10 8\n7 8\n4 6\n9 1\n5 9\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n4 10\n4 1\n10 7\n1 3\n1 8\n10 2\n4 5\n",
"20 20\n16 3\n15 1\n6 14\n13 19\n7 13\n3 13\n3 2\n17 12\n14 20\n19 10\n4 11\n3 8\n18 4\n12 7\n6 3\n11 13\n17 19\n5 14\n9 2\n11 1\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n6 7\n5 7\n4 1\n3 7\n5 10\n6 1\n9 4\n3 7\n9 10\n6 7\n1 7\n7 9\n6 9\n9 3\n4 2\n2 6\n5 6\n5 8\n3 4\n10 8\n7 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n4 10\n4 1\n10 7\n1 3\n1 8\n10 2\n4 5\n"
],
"output": [
"0",
"1",
"1",
"0",
"0",
"1",
"0",
"0",
"0\n",
"1\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"1\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
"0\n",
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"0\n",
"0\n",
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]
} | 2CODEFORCES
|
659_E. New Reform_38299 | Berland has n cities connected by m bidirectional roads. No road connects a city to itself, and each pair of cities is connected by no more than one road. It is not guaranteed that you can get from any city to any other one, using only the existing roads.
The President of Berland decided to make changes to the road system and instructed the Ministry of Transport to make this reform. Now, each road should be unidirectional (only lead from one city to another).
In order not to cause great resentment among residents, the reform needs to be conducted so that there can be as few separate cities as possible. A city is considered separate, if no road leads into it, while it is allowed to have roads leading from this city.
Help the Ministry of Transport to find the minimum possible number of separate cities after the reform.
Input
The first line of the input contains two positive integers, n and m — the number of the cities and the number of roads in Berland (2 ≤ n ≤ 100 000, 1 ≤ m ≤ 100 000).
Next m lines contain the descriptions of the roads: the i-th road is determined by two distinct integers xi, yi (1 ≤ xi, yi ≤ n, xi ≠ yi), where xi and yi are the numbers of the cities connected by the i-th road.
It is guaranteed that there is no more than one road between each pair of cities, but it is not guaranteed that from any city you can get to any other one, using only roads.
Output
Print a single integer — the minimum number of separated cities after the reform.
Examples
Input
4 3
2 1
1 3
4 3
Output
1
Input
5 5
2 1
1 3
2 3
2 5
4 3
Output
0
Input
6 5
1 2
2 3
4 5
4 6
5 6
Output
1
Note
In the first sample the following road orientation is allowed: <image>, <image>, <image>.
The second sample: <image>, <image>, <image>, <image>, <image>.
The third sample: <image>, <image>, <image>, <image>, <image>. | import sys
from math import sqrt, gcd, ceil, log
# from bisect import bisect, bisect_left
from collections import defaultdict, Counter, deque
# from heapq import heapify, heappush, heappop
input = sys.stdin.readline
read = lambda: list(map(int, input().strip().split()))
sys.setrecursionlimit(200000)
def main():
n, m = read()
adj = defaultdict(list)
visited = defaultdict(int)
# visited
for i in range(m):
x, y = read()
adj[x].append(y)
adj[y].append(x)
def dfs(ver):
parent = defaultdict(int)
stk = [(ver,0)]
visited[ver] = 1
parent[ver] = 0
while stk:
node, par = stk.pop()
for child in adj[node]:
if child == par:continue
elif not visited[child]:
visited[child] = 1
parent[child] = node
stk.append((child, node))
elif parent[child] != node:
return(0)
return(1)
ans = 0
for i in range(1, n+1):
if not visited[i]:
ans += dfs(i)
# print(i, visited)
print(ans)
#
if __name__ == "__main__":
main() | 3Python3
| {
"input": [
"5 5\n2 1\n1 3\n2 3\n2 5\n4 3\n",
"4 3\n2 1\n1 3\n4 3\n",
"6 5\n1 2\n2 3\n4 5\n4 6\n5 6\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n6 8\n5 7\n2 1\n3 7\n5 10\n6 1\n9 4\n3 6\n9 10\n6 7\n1 7\n7 9\n6 9\n9 3\n4 2\n2 6\n5 6\n5 8\n3 4\n10 8\n7 8\n4 6\n9 1\n5 9\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n4 10\n4 1\n10 7\n1 3\n1 8\n10 2\n4 5\n",
"20 20\n16 3\n15 14\n6 14\n13 19\n7 13\n3 13\n3 2\n17 11\n14 20\n19 10\n4 13\n3 8\n18 4\n12 7\n6 3\n11 13\n17 19\n5 14\n9 2\n11 1\n",
"2 1\n1 2\n",
"5 5\n1 2\n2 3\n3 4\n4 5\n5 2\n",
"4 4\n1 2\n2 3\n3 4\n4 1\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n6 8\n5 7\n2 1\n3 7\n5 10\n6 1\n9 4\n3 6\n9 10\n6 7\n1 7\n7 9\n6 9\n9 3\n4 2\n2 6\n5 6\n5 8\n3 4\n10 8\n7 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n4 10\n4 1\n10 7\n1 3\n1 8\n10 2\n4 5\n",
"4 3\n2 1\n2 3\n4 3\n",
"4 4\n1 2\n2 4\n3 4\n4 1\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n6 8\n5 7\n2 1\n3 7\n5 10\n6 1\n9 4\n3 6\n9 10\n6 7\n1 7\n7 9\n6 9\n9 3\n4 2\n2 6\n5 6\n5 8\n3 4\n10 8\n7 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n4 10\n1 1\n10 7\n1 3\n1 8\n10 2\n4 5\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n6 8\n5 7\n2 1\n3 7\n5 10\n6 1\n9 4\n3 6\n2 10\n6 7\n1 7\n7 9\n6 9\n9 3\n4 2\n2 6\n5 6\n5 8\n3 4\n10 8\n7 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n4 10\n1 1\n10 7\n1 3\n1 8\n10 2\n4 5\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n6 8\n5 7\n2 1\n3 7\n5 10\n6 1\n9 4\n3 1\n2 10\n6 7\n1 7\n7 9\n6 9\n9 3\n4 2\n2 6\n5 6\n5 8\n3 4\n10 8\n7 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n4 10\n1 1\n10 7\n1 3\n1 8\n10 2\n4 5\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n6 8\n5 7\n2 1\n3 7\n5 10\n6 1\n9 4\n3 1\n2 10\n6 7\n1 7\n7 9\n6 9\n9 3\n4 2\n2 6\n5 6\n5 8\n3 4\n10 8\n7 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n4 10\n1 1\n10 7\n1 3\n1 8\n10 2\n4 10\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n6 8\n5 7\n2 1\n3 7\n5 10\n6 1\n9 4\n3 1\n2 10\n6 7\n1 7\n7 9\n6 9\n9 3\n4 2\n2 6\n5 6\n5 8\n3 4\n10 8\n7 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n2 10\n1 1\n10 7\n1 3\n1 8\n10 2\n4 10\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n6 8\n5 7\n2 1\n3 7\n5 10\n6 1\n9 8\n3 1\n2 10\n6 7\n1 7\n7 9\n6 9\n9 3\n4 2\n2 6\n5 6\n5 8\n3 4\n10 8\n7 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n2 10\n1 1\n10 7\n1 3\n1 8\n10 2\n4 10\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n6 8\n5 7\n2 1\n3 7\n5 10\n6 1\n9 8\n3 1\n2 10\n6 7\n1 7\n7 9\n6 9\n9 3\n4 2\n2 6\n5 6\n5 8\n6 4\n10 8\n7 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n2 10\n1 1\n10 7\n1 3\n1 8\n10 2\n4 10\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n6 8\n5 7\n2 1\n3 7\n5 10\n6 1\n9 8\n3 1\n2 10\n6 7\n1 7\n7 9\n6 9\n9 3\n2 2\n2 6\n5 6\n5 8\n6 4\n10 8\n7 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n2 10\n1 1\n10 7\n1 3\n1 8\n10 2\n4 10\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n6 8\n5 7\n2 1\n3 7\n5 10\n6 1\n9 8\n3 1\n2 10\n6 7\n1 7\n7 9\n6 9\n9 3\n2 2\n2 6\n5 6\n5 8\n6 4\n10 8\n7 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n9 3\n3 8\n2 10\n1 1\n10 7\n1 3\n1 8\n10 2\n4 10\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n9 8\n5 7\n2 1\n3 7\n5 10\n6 1\n9 4\n3 6\n9 10\n6 7\n1 7\n7 9\n6 9\n9 3\n4 2\n2 6\n5 6\n5 8\n3 4\n10 8\n7 8\n4 6\n9 1\n5 9\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n4 10\n4 1\n10 7\n1 3\n1 8\n10 2\n4 5\n",
"20 20\n16 3\n15 14\n6 14\n13 19\n7 13\n3 13\n3 2\n17 12\n14 20\n19 10\n4 13\n3 8\n18 4\n12 7\n6 3\n11 13\n17 19\n5 14\n9 2\n11 1\n",
"5 5\n2 1\n1 5\n2 3\n2 5\n4 3\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n6 8\n5 7\n2 1\n3 7\n5 10\n6 1\n9 4\n3 7\n9 10\n6 7\n1 7\n7 9\n6 9\n9 3\n4 2\n2 6\n5 6\n5 8\n3 4\n10 8\n7 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n4 10\n4 1\n10 7\n1 3\n1 8\n10 2\n4 5\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n6 8\n5 7\n2 1\n3 7\n5 10\n6 1\n9 4\n3 6\n9 10\n6 7\n1 7\n7 9\n6 9\n9 3\n4 2\n2 6\n5 6\n5 8\n3 4\n10 8\n7 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 4\n10 3\n3 8\n4 10\n1 1\n10 7\n1 3\n1 8\n10 2\n4 5\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n6 8\n5 7\n2 1\n3 7\n5 10\n6 2\n9 4\n3 6\n2 10\n6 7\n1 7\n7 9\n6 9\n9 3\n4 2\n2 6\n5 6\n5 8\n3 4\n10 8\n7 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n4 10\n1 1\n10 7\n1 3\n1 8\n10 2\n4 5\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n6 8\n5 7\n2 1\n3 7\n5 10\n6 1\n9 4\n3 1\n2 10\n6 7\n1 7\n7 9\n6 9\n9 3\n4 2\n2 6\n5 6\n5 8\n1 4\n10 8\n7 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n4 10\n1 1\n10 7\n1 3\n1 8\n10 2\n4 5\n",
"10 45\n3 7\n2 3\n4 8\n2 5\n6 8\n5 7\n2 1\n3 7\n5 10\n6 1\n9 8\n3 1\n2 10\n6 7\n1 7\n7 9\n6 9\n9 3\n2 2\n2 6\n5 6\n5 8\n6 4\n10 8\n7 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n2 10\n1 1\n10 7\n1 3\n1 8\n10 2\n4 10\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n6 8\n5 7\n2 1\n3 7\n5 10\n6 1\n3 8\n3 1\n2 10\n6 7\n1 7\n7 9\n6 9\n9 3\n2 2\n2 6\n5 6\n5 8\n6 4\n10 8\n7 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n9 3\n3 8\n2 10\n1 1\n10 7\n1 3\n1 8\n10 2\n4 10\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n9 8\n5 7\n2 1\n3 7\n5 10\n6 1\n9 4\n3 6\n9 10\n6 7\n1 7\n7 9\n6 8\n9 3\n4 2\n2 6\n5 6\n5 8\n3 4\n10 8\n7 8\n4 6\n9 1\n5 9\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n4 10\n4 1\n10 7\n1 3\n1 8\n10 2\n4 5\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n6 8\n5 7\n2 1\n3 7\n5 10\n6 1\n9 4\n4 6\n9 10\n6 7\n1 7\n7 9\n6 9\n9 3\n4 2\n2 6\n5 6\n5 8\n3 4\n10 8\n7 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 4\n10 3\n3 8\n4 10\n1 1\n10 7\n1 3\n1 8\n10 2\n4 5\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n6 8\n5 7\n2 1\n3 7\n3 10\n6 1\n9 4\n3 1\n2 10\n6 7\n1 7\n7 9\n6 9\n9 3\n4 2\n2 6\n5 6\n5 8\n1 4\n10 8\n7 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n4 10\n1 1\n10 7\n1 3\n1 8\n10 2\n4 5\n",
"10 45\n3 7\n2 3\n4 8\n2 5\n6 8\n7 7\n2 1\n3 7\n5 10\n6 1\n9 8\n3 1\n2 10\n6 7\n1 7\n7 9\n6 9\n9 3\n2 2\n2 6\n5 6\n5 8\n6 4\n10 8\n7 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n2 10\n1 1\n10 7\n1 3\n1 8\n10 2\n4 10\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n6 8\n5 7\n2 1\n3 7\n5 10\n6 1\n3 8\n3 1\n2 10\n6 7\n1 7\n7 9\n6 9\n9 3\n2 2\n2 6\n5 6\n6 8\n6 4\n10 8\n7 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n9 3\n3 8\n2 10\n1 1\n10 7\n1 3\n1 8\n10 2\n4 10\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n9 8\n5 7\n2 1\n3 7\n5 10\n6 1\n9 4\n3 6\n9 10\n6 7\n1 7\n7 9\n6 8\n9 3\n4 2\n2 6\n5 6\n5 8\n3 4\n10 8\n7 8\n4 6\n9 1\n5 9\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 1\n3 8\n4 10\n4 1\n10 7\n1 3\n1 8\n10 2\n4 5\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n6 8\n5 7\n2 1\n3 7\n5 10\n6 1\n9 4\n4 6\n9 10\n6 7\n1 7\n7 9\n6 9\n9 3\n4 2\n2 6\n5 6\n5 8\n3 4\n10 8\n7 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 4\n10 3\n3 8\n4 10\n1 1\n10 7\n1 3\n1 8\n10 3\n4 5\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n6 8\n5 7\n2 1\n3 7\n3 10\n6 1\n9 4\n3 1\n2 10\n6 7\n1 7\n7 9\n6 9\n9 3\n4 2\n2 6\n5 6\n5 8\n1 4\n10 8\n7 8\n4 6\n9 1\n5 5\n9 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n4 10\n1 1\n10 7\n1 3\n1 8\n10 2\n4 5\n",
"10 45\n3 7\n2 3\n4 8\n2 5\n6 8\n7 7\n2 1\n3 7\n5 10\n6 1\n9 3\n3 1\n2 10\n6 7\n1 7\n7 9\n6 9\n9 3\n2 2\n2 6\n5 6\n5 8\n6 4\n10 8\n7 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n2 10\n1 1\n10 7\n1 3\n1 8\n10 2\n4 10\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n6 8\n5 7\n2 1\n3 7\n5 10\n6 1\n3 8\n3 1\n2 10\n6 7\n1 7\n7 9\n6 9\n9 3\n2 2\n2 6\n5 6\n6 8\n6 4\n10 2\n7 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n9 3\n3 8\n2 10\n1 1\n10 7\n1 3\n1 8\n10 2\n4 10\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n9 8\n5 7\n2 1\n3 7\n7 10\n6 1\n9 4\n3 6\n9 10\n6 7\n1 7\n7 9\n6 8\n9 3\n4 2\n2 6\n5 6\n5 8\n3 4\n10 8\n7 8\n4 6\n9 1\n5 9\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 1\n3 8\n4 10\n4 1\n10 7\n1 3\n1 8\n10 2\n4 5\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n6 8\n5 7\n2 1\n3 7\n5 10\n6 1\n9 4\n4 6\n9 10\n6 7\n1 7\n7 9\n6 9\n9 3\n4 2\n2 6\n5 6\n5 8\n3 4\n10 8\n7 8\n6 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 4\n10 3\n3 8\n4 10\n1 1\n10 7\n1 3\n1 8\n10 3\n4 5\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n8 8\n5 7\n2 1\n3 7\n3 10\n6 1\n9 4\n3 1\n2 10\n6 7\n1 7\n7 9\n6 9\n9 3\n4 2\n2 6\n5 6\n5 8\n1 4\n10 8\n7 8\n4 6\n9 1\n5 5\n9 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n4 10\n1 1\n10 7\n1 3\n1 8\n10 2\n4 5\n",
"10 45\n3 7\n2 3\n4 8\n2 5\n6 8\n7 7\n2 1\n3 7\n5 10\n6 2\n9 3\n3 1\n2 10\n6 7\n1 7\n7 9\n6 9\n9 3\n2 2\n2 6\n5 6\n5 8\n6 4\n10 8\n7 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n2 10\n1 1\n10 7\n1 3\n1 8\n10 2\n4 10\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n6 8\n5 7\n2 1\n3 7\n5 10\n6 1\n9 4\n4 6\n9 10\n6 7\n1 7\n7 9\n6 9\n9 3\n4 2\n2 6\n5 6\n5 8\n3 4\n10 8\n9 8\n6 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 4\n10 3\n3 8\n4 10\n1 1\n10 7\n1 3\n1 8\n10 3\n4 5\n",
"10 45\n3 7\n2 3\n4 8\n2 5\n6 8\n7 7\n3 1\n3 7\n5 10\n6 2\n9 3\n3 1\n2 10\n6 7\n1 7\n7 9\n6 9\n9 3\n2 2\n2 6\n5 6\n5 8\n6 4\n10 8\n7 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n2 10\n1 1\n10 7\n1 3\n1 8\n10 2\n4 10\n",
"10 45\n3 7\n2 3\n4 8\n2 5\n6 8\n7 7\n3 1\n3 7\n5 10\n6 2\n9 3\n3 1\n2 10\n6 7\n1 7\n7 9\n6 9\n9 3\n2 2\n2 6\n5 6\n5 8\n6 4\n10 8\n7 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n2 10\n1 1\n10 7\n1 3\n1 8\n10 2\n6 10\n",
"10 45\n3 7\n2 3\n4 8\n2 5\n6 8\n7 7\n3 1\n3 7\n5 10\n6 2\n9 3\n3 1\n2 10\n6 7\n1 7\n7 9\n6 9\n9 3\n2 2\n2 6\n3 6\n5 8\n6 4\n10 8\n7 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n2 10\n1 1\n10 7\n1 3\n1 8\n10 2\n6 10\n",
"10 45\n3 7\n2 3\n4 8\n2 5\n6 8\n7 7\n3 1\n3 7\n5 10\n6 2\n9 3\n3 1\n2 10\n6 7\n1 7\n7 9\n6 9\n9 3\n2 2\n2 6\n3 6\n5 8\n6 8\n10 8\n7 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n2 10\n1 1\n10 7\n1 3\n1 8\n10 2\n6 10\n",
"10 45\n3 7\n2 3\n4 8\n2 5\n6 8\n7 7\n3 1\n3 7\n5 10\n6 2\n9 3\n3 1\n2 10\n6 7\n1 7\n7 9\n6 9\n9 3\n2 2\n2 6\n3 6\n5 8\n6 8\n10 8\n7 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n2 10\n1 1\n10 7\n1 4\n1 8\n10 2\n6 10\n",
"10 45\n3 7\n2 3\n4 8\n2 5\n6 8\n7 7\n3 1\n3 7\n5 10\n6 2\n9 3\n3 1\n2 10\n6 7\n1 7\n7 9\n6 9\n9 3\n2 2\n2 6\n3 6\n5 8\n6 8\n10 8\n7 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 5\n9 8\n1 5\n7 2\n10 3\n3 8\n2 10\n1 1\n10 7\n1 4\n1 8\n10 2\n6 10\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n6 8\n5 7\n2 1\n3 7\n5 10\n6 1\n9 4\n3 6\n9 10\n6 7\n1 7\n7 9\n6 9\n9 3\n4 2\n2 6\n5 6\n5 8\n3 4\n10 8\n7 8\n4 6\n9 1\n5 9\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n4 10\n4 1\n10 7\n1 3\n1 8\n10 2\n4 7\n",
"4 3\n4 1\n1 3\n4 3\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n6 8\n5 7\n2 1\n2 7\n5 10\n6 1\n9 4\n3 6\n9 10\n6 7\n1 7\n7 9\n6 9\n9 3\n4 2\n2 6\n5 6\n5 8\n3 4\n10 8\n7 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n4 10\n4 1\n10 7\n1 3\n1 8\n10 2\n4 5\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n5 8\n5 7\n2 1\n3 7\n5 10\n6 1\n9 4\n3 6\n9 10\n6 7\n1 7\n7 9\n6 9\n9 3\n4 2\n2 6\n5 6\n5 8\n3 4\n10 8\n7 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n4 10\n1 1\n10 7\n1 3\n1 8\n10 2\n4 5\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n6 8\n5 7\n2 1\n3 7\n5 10\n6 1\n9 4\n3 6\n2 10\n6 7\n1 7\n7 9\n6 9\n9 3\n4 2\n2 6\n5 6\n5 1\n3 4\n10 8\n7 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n4 10\n1 1\n10 7\n1 3\n1 8\n10 2\n4 5\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n6 8\n5 7\n2 1\n3 7\n5 10\n6 1\n9 4\n3 1\n2 10\n6 7\n1 7\n7 9\n6 9\n9 3\n4 2\n2 6\n5 6\n5 8\n3 4\n10 8\n7 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 6\n3 8\n2 10\n1 1\n10 7\n1 3\n1 8\n10 2\n4 10\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n6 8\n10 7\n2 1\n3 7\n5 10\n6 1\n9 8\n3 1\n2 10\n6 7\n1 7\n7 9\n6 9\n9 3\n4 2\n2 6\n5 6\n5 8\n3 4\n10 8\n7 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n2 10\n1 1\n10 7\n1 3\n1 8\n10 2\n4 10\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n6 8\n5 7\n2 1\n3 7\n5 10\n6 1\n9 8\n3 1\n2 10\n6 7\n1 7\n7 9\n6 9\n9 3\n2 2\n2 6\n5 6\n5 8\n6 4\n10 8\n7 8\n4 6\n9 1\n5 5\n7 4\n1 9\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n2 10\n1 1\n10 7\n1 3\n1 8\n10 2\n4 10\n",
"10 45\n3 5\n2 3\n4 8\n3 5\n6 8\n5 7\n2 1\n3 7\n5 10\n6 1\n9 8\n3 1\n2 10\n6 7\n1 7\n7 9\n6 9\n9 3\n2 2\n2 6\n5 6\n5 8\n6 4\n10 8\n7 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n9 3\n3 8\n2 10\n1 1\n10 7\n1 3\n1 8\n10 2\n4 10\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n9 8\n5 7\n2 1\n4 7\n5 10\n6 1\n9 4\n3 6\n9 10\n6 7\n1 7\n7 9\n6 9\n9 3\n4 2\n2 6\n5 6\n5 8\n3 4\n10 8\n7 8\n4 6\n9 1\n5 9\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n4 10\n4 1\n10 7\n1 3\n1 8\n10 2\n4 5\n",
"20 20\n16 3\n15 1\n6 14\n13 19\n7 13\n3 13\n3 2\n17 12\n14 20\n19 10\n4 13\n3 8\n18 4\n12 7\n6 3\n11 13\n17 19\n5 14\n9 2\n11 1\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n6 8\n5 7\n4 1\n3 7\n5 10\n6 1\n9 4\n3 7\n9 10\n6 7\n1 7\n7 9\n6 9\n9 3\n4 2\n2 6\n5 6\n5 8\n3 4\n10 8\n7 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n4 10\n4 1\n10 7\n1 3\n1 8\n10 2\n4 5\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n6 8\n5 7\n2 1\n3 7\n5 10\n6 1\n9 4\n3 6\n9 10\n6 7\n1 7\n7 9\n6 9\n9 6\n4 2\n2 6\n5 6\n5 8\n3 4\n10 8\n7 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 4\n10 3\n3 8\n4 10\n1 1\n10 7\n1 3\n1 8\n10 2\n4 5\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n6 8\n5 7\n2 1\n3 7\n5 10\n6 2\n9 4\n3 6\n2 10\n6 7\n1 7\n7 9\n6 9\n9 3\n4 2\n2 6\n5 6\n5 8\n3 4\n10 3\n7 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n4 10\n1 1\n10 7\n1 3\n1 8\n10 2\n4 5\n",
"10 45\n3 7\n2 3\n4 8\n2 5\n6 8\n5 7\n2 1\n3 7\n5 10\n6 1\n9 8\n3 1\n2 10\n6 7\n1 7\n7 9\n6 9\n9 3\n2 2\n2 6\n5 6\n5 8\n6 4\n10 8\n7 8\n4 5\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n2 10\n1 1\n10 7\n1 3\n1 8\n10 2\n4 10\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n6 8\n5 7\n2 1\n3 7\n5 10\n6 1\n3 8\n3 1\n2 10\n6 7\n1 7\n7 9\n6 9\n9 3\n2 2\n2 6\n5 6\n5 8\n6 4\n10 8\n7 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n2 5\n7 2\n9 3\n3 8\n2 10\n1 1\n10 7\n1 3\n1 8\n10 2\n4 10\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n9 8\n5 7\n2 1\n3 7\n5 10\n6 1\n9 4\n3 6\n9 10\n6 7\n1 7\n7 9\n6 8\n9 3\n4 2\n2 6\n5 6\n5 9\n3 4\n10 8\n7 8\n4 6\n9 1\n5 9\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n4 10\n4 1\n10 7\n1 3\n1 8\n10 2\n4 5\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n6 8\n5 7\n2 1\n3 7\n5 10\n6 1\n3 6\n3 1\n2 10\n6 7\n1 7\n7 9\n6 9\n9 3\n2 2\n2 6\n5 6\n6 8\n6 4\n10 8\n7 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n9 3\n3 8\n2 10\n1 1\n10 7\n1 3\n1 8\n10 2\n4 10\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n9 8\n5 7\n2 1\n3 7\n5 10\n6 1\n9 4\n3 6\n9 10\n6 7\n1 7\n7 9\n6 8\n9 3\n4 2\n2 6\n5 6\n3 8\n3 4\n10 8\n7 8\n4 6\n9 1\n5 9\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 1\n3 8\n4 10\n4 1\n10 7\n1 3\n1 8\n10 2\n4 5\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n6 8\n5 7\n2 1\n3 7\n5 10\n6 1\n9 4\n4 6\n9 10\n6 7\n1 7\n7 9\n6 9\n9 3\n4 2\n2 6\n5 6\n5 8\n3 4\n10 8\n7 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 4\n10 3\n3 8\n4 10\n2 1\n10 7\n1 3\n1 8\n10 3\n4 5\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n6 8\n5 7\n2 1\n3 7\n3 10\n6 1\n9 4\n3 1\n2 10\n6 7\n1 7\n7 9\n6 9\n9 3\n4 2\n2 6\n5 6\n5 3\n1 4\n10 8\n7 8\n4 6\n9 1\n5 5\n9 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n4 10\n1 1\n10 7\n1 3\n1 8\n10 2\n4 5\n",
"10 45\n3 7\n2 3\n4 8\n2 5\n6 8\n7 7\n2 1\n3 7\n5 10\n6 1\n9 3\n3 1\n2 10\n6 7\n1 7\n7 9\n6 9\n9 3\n2 2\n2 6\n5 6\n5 8\n6 4\n10 8\n7 8\n4 6\n9 1\n5 5\n7 4\n2 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n2 10\n1 1\n10 7\n1 3\n1 8\n10 2\n4 10\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n8 8\n9 7\n2 1\n3 7\n3 10\n6 1\n9 4\n3 1\n2 10\n6 7\n1 7\n7 9\n6 9\n9 3\n4 2\n2 6\n5 6\n5 8\n1 4\n10 8\n7 8\n4 6\n9 1\n5 5\n9 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n4 10\n1 1\n10 7\n1 3\n1 8\n10 2\n4 5\n",
"10 45\n3 7\n2 3\n4 8\n2 5\n6 8\n7 7\n3 1\n3 7\n5 9\n6 2\n9 3\n3 1\n2 10\n6 7\n1 7\n7 9\n6 9\n9 3\n2 2\n2 6\n5 6\n5 8\n6 4\n10 8\n7 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n2 10\n1 1\n10 7\n1 3\n1 8\n10 2\n4 10\n",
"10 45\n3 7\n2 3\n4 8\n2 5\n6 8\n7 7\n3 1\n3 7\n5 10\n6 2\n9 3\n3 1\n2 10\n6 7\n1 7\n7 9\n6 9\n9 3\n2 2\n2 6\n5 6\n5 8\n6 4\n10 8\n7 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n3 10\n1 1\n10 7\n1 3\n1 8\n10 2\n6 10\n",
"10 45\n3 7\n2 3\n4 8\n2 5\n6 8\n7 7\n3 1\n3 7\n5 10\n6 2\n9 3\n3 1\n2 10\n6 7\n1 7\n7 9\n6 9\n9 3\n2 2\n2 6\n3 6\n5 8\n4 8\n10 8\n7 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n2 10\n1 1\n10 7\n1 3\n1 8\n10 2\n6 10\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n6 8\n5 7\n2 1\n3 7\n5 10\n6 1\n9 4\n3 6\n9 10\n6 7\n1 7\n7 9\n6 9\n9 3\n4 2\n2 6\n5 6\n5 8\n3 4\n10 8\n7 8\n8 6\n9 1\n5 9\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n4 10\n4 1\n10 7\n1 3\n1 8\n10 2\n4 7\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n6 8\n5 7\n2 1\n2 7\n5 10\n6 1\n9 4\n3 6\n9 10\n6 7\n1 7\n7 9\n6 9\n9 3\n4 2\n2 6\n5 6\n5 8\n3 4\n10 8\n8 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n4 10\n4 1\n10 7\n1 3\n1 8\n10 2\n4 5\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n5 8\n5 7\n2 1\n3 7\n5 10\n6 1\n9 4\n3 6\n9 10\n6 7\n1 7\n7 9\n6 9\n9 3\n4 2\n2 6\n5 6\n5 8\n3 4\n10 8\n7 3\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n4 10\n1 1\n10 7\n1 3\n1 8\n10 2\n4 5\n",
"10 45\n3 5\n1 3\n4 8\n2 5\n6 8\n5 7\n2 1\n3 7\n5 10\n6 1\n9 4\n3 1\n2 10\n6 7\n1 7\n7 9\n6 9\n9 3\n4 2\n2 6\n5 6\n5 8\n3 4\n10 8\n7 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 6\n3 8\n2 10\n1 1\n10 7\n1 3\n1 8\n10 2\n4 10\n",
"10 45\n3 5\n2 3\n4 8\n3 5\n6 8\n5 7\n2 1\n3 7\n5 10\n6 1\n9 8\n3 1\n2 10\n8 7\n1 7\n7 9\n6 9\n9 3\n2 2\n2 6\n5 6\n5 8\n6 4\n10 8\n7 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n9 3\n3 8\n2 10\n1 1\n10 7\n1 3\n1 8\n10 2\n4 10\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n9 8\n5 7\n2 1\n4 7\n5 10\n6 2\n9 4\n3 6\n9 10\n6 7\n1 7\n7 9\n6 9\n9 3\n4 2\n2 6\n5 6\n5 8\n3 4\n10 8\n7 8\n4 6\n9 1\n5 9\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n4 10\n4 1\n10 7\n1 3\n1 8\n10 2\n4 5\n",
"20 20\n16 3\n15 1\n6 14\n13 19\n7 13\n3 13\n3 2\n17 12\n14 20\n19 10\n4 11\n3 8\n18 4\n12 7\n6 3\n11 13\n17 19\n5 14\n9 2\n11 1\n",
"10 45\n3 5\n2 3\n4 8\n2 5\n6 7\n5 7\n4 1\n3 7\n5 10\n6 1\n9 4\n3 7\n9 10\n6 7\n1 7\n7 9\n6 9\n9 3\n4 2\n2 6\n5 6\n5 8\n3 4\n10 8\n7 8\n4 6\n9 1\n5 5\n7 4\n1 10\n9 2\n2 8\n6 10\n9 8\n1 5\n7 2\n10 3\n3 8\n4 10\n4 1\n10 7\n1 3\n1 8\n10 2\n4 5\n"
],
"output": [
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]
} | 2CODEFORCES
|