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train_1 · 3.47k rows

image imagewidth (px) 642 1.02k	ground_truth stringlengths 37 12.3k
	{"gt_parse": {"text_sequance": "\n\n\n\n\n\nφ\n(\n5882\n,\n6\n)\n=\nφ\n(\n5882\n,\n5\n)\n−\nφ\n(\n452\n,\n5\n)\n=\n1222\n−\n94\n=\n1128\n\n\n{\\displaystyle \\varphi (5882,6)=\\varphi (5882,5)-\\varphi (452,5)=1222-94=1128}\n\n\n\n\n\nφ\n(\n5882\n,\n5\n)\n=\nφ\n(\n5882\n,\n4\n)\n−\nφ\n(\n534\n,\n4\n)\n=\n1345\n−\n123\n=\n1222\n\n\n{\\displaystyle \\varphi (5882,5)=\\varphi (5882,4)-\\varphi (534,4)=1345-123=1222}\n\n\n\n\n\nφ\n(\n5882\n,\n4\n)\n=\nφ\n(\n5882\n,\n3\n)\n−\nφ\n(\n840\n,\n3\n)\n=\n1569\n−\n224\n=\n1345\n\n\n{\\displaystyle \\varphi (5882,4)=\\varphi (5882,3)-\\varphi (840,3)=1569-224=1345}\n\n\n\n\n\nφ\n(\n5882\n,\n3\n)\n=\nφ\n(\n5882\n,\n2\n)\n−\nφ\n(\n1176\n,\n2\n)\n=\n1961\n−\n392\n=\n1569\n\n\n{\\displaystyle \\varphi (5882,3)=\\varphi (5882,2)-\\varphi (1176,2)=1961-392=1569}\n\n\n\n\n\nφ\n(\n5882\n,\n2\n)\n=\nφ\n(\n5882\n,\n1\n)\n−\nφ\n(\n1960\n,\n1\n)\n=\n2941\n−\n980\n=\n1961\n\n\n{\\displaystyle \\varphi (5882,2)=\\varphi (5882,1)-\\varphi (1960,1)=2941-980=1961}\n\n\n\n\n\nφ\n(\n1176\n,\n2\n)\n=\nφ\n(\n1176\n,\n1\n)\n−\nφ\n(\n391\n,\n1\n)\n=\n588\n−\n196\n\n\n{\\displaystyle \\varphi (1176,2)=\\varphi (1176,1)-\\varphi (391,1)=588-196}\n\n\n\n\n\n\n=\n\n\n{\\displaystyle =}\n\n\n\n\n\n\n392\n\n\n{\\displaystyle 392}\n\n\n\n\n\n\n\n\n\nφ\n(\n840\n,\n3\n)\n=\nφ\n(\n840\n,\n2\n)\n−\nφ\n(\n168\n,\n2\n)\n=\n280\n−\n56\n=\n224\n\n\n{\\displaystyle \\varphi (840,3)=\\varphi (840,2)-\\varphi (168,2)=280-56=224}\n\n\n\n\n\nφ\n(\n840\n,\n2\n)\n=\nφ\n(\n840\n,\n1\n)\n−\nφ\n(\n280\n,\n1\n)\n=\n420\n−\n140\n=\n280\n\n\n{\\displaystyle \\varphi (840,2)=\\varphi (840,1)-\\varphi (280,1)=420-140=280}\n\n\n\n\n\nφ\n(\n168\n,\n2\n)\n=\nφ\n(\n168\n,\n1\n)\n−\nφ\n(\n56\n,\n1\n)\n=\n84\n−\n28\n\n\n{\\displaystyle \\varphi (168,2)=\\varphi (168,1)-\\varphi (56,1)=84-28}\n\n\n\n\n\n\n=\n\n\n{\\displaystyle =}\n\n\n\n\n\n\n56\n\n\n{\\displaystyle 56}\n\n\n\n\n\n\n\n\n\nφ\n(\n534\n,\n4\n)\n=\nφ\n(\n534\n,\n3\n)\n−\nφ\n(\n76\n,\n3\n)\n=\n143\n−\n20\n=\n123\n\n\n{\\displaystyle \\varphi (534,4)=\\varphi (534,3)-\\varphi (76,3)=143-20=123}\n\n\n\n\n\nφ\n(\n534\n,\n3\n)\n=\nφ\n(\n534\n,\n2\n)\n−\nφ\n(\n106\n,\n2\n)\n=\n178\n−\n35\n=\n143\n\n\n{\\displaystyle \\varphi (534,3)=\\varphi (534,2)-\\varphi (106,2)=178-35=143}\n\n\n\n\n\nφ\n(\n534\n,\n2\n)\n=\nφ\n(\n534\n,\n1\n)\n−\nφ\n(\n178\n,\n1\n)\n=\n267\n−\n89\n=\n178\n\n\n{\\displaystyle \\varphi (534,2)=\\varphi (534,1)-\\varphi (178,1)=267-89=178}\n\n\n\n\n\nφ\n(\n106\n,\n2\n)\n=\nφ\n(\n106\n,\n1\n)\n−\nφ\n(\n35\n,\n1\n)\n=\n53\n−\n18\n\n\n{\\displaystyle \\varphi (106,2)=\\varphi (106,1)-\\varphi (35,1)=53-18}\n\n\n\n\n\n\n=\n\n\n{\\displaystyle =}\n\n\n\n\n\n\n35\n\n\n{\\displaystyle 35}\n\n\n\n\n\n\n\n\n\nφ\n(\n76\n,\n3\n)\n=\nφ\n(\n76\n,\n2\n)\n−\nφ\n(\n15\n,\n2\n)\n=\n25\n−\n5\n=\n20\n\n\n{\\displaystyle \\varphi (76,3)=\\varphi (76,2)-\\varphi (15,2)=25-5=20}\n\n\n\n\n\nφ\n(\n76\n,\n2\n)\n=\nφ\n(\n76\n,\n1\n)\n−\nφ\n(\n25\n,\n1\n)\n=\n38\n−\n13\n=\n25\n\n\n{\\displaystyle \\varphi (76,2)=\\varphi (76,1)-\\varphi (25,1)=38-13=25}\n\n\n\n\n\nφ\n(\n15\n,\n2\n)\n=\nφ\n(\n15\n,\n1\n)\n−\nφ\n(\n5\n,\n1\n)\n=\n8\n−\n3\n\n\n{\\displaystyle \\varphi (15,2)=\\varphi (15,1)-\\varphi (5,1)=8-3}\n\n\n\n\n\n\n=\n\n\n{\\displaystyle =}\n\n\n\n\n\n\n5\n\n\n{\\displaystyle 5}\n\n\n\n\n\n\n\n\n\nφ\n(\n452\n,\n5\n)\n=\nφ\n(\n452\n,\n4\n)\n−\nφ\n(\n41\n,\n4\n)\n=\n104\n−\n10\n=\n94\n\n\n{\\displaystyle \\varphi (452,5)=\\varphi (452,4)-\\varphi (41,4)=104-10=94}\n\n\n\n\n\nφ\n(\n452\n,\n4\n)\n=\nφ\n(\n452\n,\n3\n)\n−\nφ\n(\n64\n,\n3\n)\n=\n121\n−\n17\n=\n104\n\n\n{\\displaystyle \\varphi (452,4)=\\varphi (452,3)-\\varphi (64,3)=121-17=104}\n\n\n\n\n\nφ\n(\n452\n,\n3\n)\n=\nφ\n(\n452\n,\n2\n)\n−\nφ\n(\n90\n,\n2\n)\n=\n151\n−\n30\n=\n121\n\n\n{\\displaystyle \\varphi (452,3)=\\varphi (452,2)-\\varphi (90,2)=151-30=121}\n\n\n\n\n\nφ\n(\n452\n,\n2\n)\n=\nφ\n(\n452\n,\n1\n)\n−\nφ\n(\n150\n,\n1\n)\n=\n226\n−\n75\n=\n151\n\n\n{\\displaystyle \\varphi (452,2)=\\varphi (452,1)-\\varphi (150,1)=226-75=151}\n\n\n\n\n\nφ\n(\n90\n,\n2\n)\n=\nφ\n(\n90\n,\n1\n)\n−\nφ\n(\n90\n,\n1\n)\n=\n45\n−\n15\n\n\n{\\displaystyle \\varphi (90,2)=\\varphi (90,1)-\\varphi (90,1)=45-15}\n\n\n\n\n\n\n=\n\n\n{\\displaystyle =}\n\n\n\n\n\n\n30\n\n\n{\\displaystyle 30}\n\n\n\n\n\n\n\n\n\nφ\n(\n64\n,\n3\n)\n=\nφ\n(\n64\n,\n2\n)\n−\nφ\n(\n12\n,\n2\n)\n=\n21\n−\n4\n=\n17\n\n\n{\\displaystyle \\varphi (64,3)=\\varphi (64,2)-\\varphi (12,2)=21-4=17}\n\n\n\n\n\nφ\n(\n64\n,\n2\n)\n=\nφ\n(\n64\n,\n1\n)\n−\nφ\n(\n12\n,\n1\n)\n=\n32\n−\n11\n=\n21\n\n\n{\\displaystyle \\varphi (64,2)=\\varphi (64,1)-\\varphi (12,1)=32-11=21}\n\n\n\n\n\nφ\n(\n12\n,\n2\n)\n=\nφ\n(\n12\n,\n1\n)\n−\nφ\n(\n4\n,\n1\n)\n=\n6\n−\n2\n\n\n{\\displaystyle \\varphi (12,2)=\\varphi (12,1)-\\varphi (4,1)=6-2}\n\n\n\n\n\n\n=\n\n\n{\\displaystyle =}\n\n\n\n\n\n\n4\n\n\n{\\displaystyle 4}\n\n\n\n\n\n\n\n\n\nφ\n(\n41\n,\n4\n)\n=\nφ\n(\n41\n,\n3\n)\n−\nφ\n(\n5\n,\n3\n)\n=\n11\n−\n1\n=\n10\n\n\n{\\displaystyle \\varphi (41,4)=\\varphi (41,3)-\\varphi (5,3)=11-1=10}\n\n\n\n\n\nφ\n(\n41\n,\n3\n)\n=\nφ\n(\n41\n,\n2\n)\n−\nφ\n(\n8\n,\n2\n)\n=\n14\n−\n3\n=\n11\n\n\n{\\displaystyle \\varphi (41,3)=\\varphi (41,2)-\\varphi (8,2)=14-3=11}\n\n\n\n\n\nφ\n(\n41\n,\n2\n)\n=\nφ\n(\n41\n,\n1\n)\n−\nφ\n(\n13\n,\n1\n)\n=\n21\n−\n7\n=\n14\n\n\n{\\displaystyle \\varphi (41,2)=\\varphi (41,1)-\\varphi (13,1)=21-7=14}\n\n\n\n\n\n\n\n\n\n\n\nφ\n(\n5263\n,\n7\n)\n=\nφ\n(\n5263\n,\n6\n)\n−\nφ\n(\n309\n,\n6\n)\n=\n1009\n−\n59\n=\n950\n\n\n{\\displaystyle \\varphi (5263,7)=\\varphi (5263,6)-\\varphi (309,6)=1009-59=950}\n\n\n\n\n\nφ\n(\n5263\n,\n6\n)\n=\nφ\n(\n5263\n,\n5\n)\n−\nφ\n(\n404\n,\n5\n)\n=\n1094\n−\n85\n=\n1009\n\n\n{\\displaystyle \\varphi (5263,6)=\\varphi (5263,5)-\\varphi (404,5)=1094-85=1009}\n\n\n\n\n\nφ\n(\n5263\n,\n5\n)\n=\nφ\n(\n5263\n,\n4\n)\n−\nφ\n(\n478\n,\n4\n)\n=\n1203\n−\n109\n=\n1094\n\n\n{\\displaystyle \\varphi (5263,5)=\\varphi (5263,4)-\\varphi (478,4)=1203-109=1094}\n\n\n\n\n\nφ\n(\n5263\n,\n4\n)\n=\nφ\n(\n5263\n,\n3\n)\n−\nφ\n(\n751\n,\n3\n)\n=\n1404\n−\n201\n=\n1203\n\n\n{\\displaystyle \\varphi (5263,4)=\\varphi (5263,3)-\\varphi (751,3)=1404-201=1203}\n\n\n\n\n\nφ\n(\n5263\n,\n3\n)\n=\nφ\n(\n5263\n,\n2\n)\n−\nφ\n(\n1052\n,\n2\n)\n=\n1755\n−\n351\n=\n1404\n\n\n{\\displaystyle \\varphi (5263,3)=\\varphi (5263,2)-\\varphi (1052,2)=1755-351=1404}\n\n\n\n\n\nφ\n(\n5263\n,\n2\n)\n=\nφ\n(\n5263\n,\n1\n)\n−\nφ\n(\n1754\n,\n1\n)\n=\n2632\n−\n877\n=\n1755\n\n\n{\\displaystyle \\varphi (5263,2)=\\varphi (5263,1)-\\varphi (1754,1)=2632-877=1755}\n\n\n\n\n\nφ\n(\n1052\n,\n2\n)\n=\nφ\n(\n1052\n,\n1\n)\n−\nφ\n(\n350\n,\n1\n)\n=\n526\n−\n175\n\n\n{\\displaystyle \\varphi (1052,2)=\\varphi (1052,1)-\\varphi (350,1)=526-175}\n\n\n\n\n\n\n=\n\n\n{\\displaystyle =}\n\n\n\n\n\n\n351\n\n\n{\\displaystyle 351}\n\n\n\n\n\n"}}
	{"gt_parse": {"text_sequance": "\n\n\n\n\n\nφ\n(\n751\n,\n3\n)\n=\nφ\n(\n751\n,\n2\n)\n−\nφ\n(\n150\n,\n2\n)\n=\n251\n−\n\n\n\n50\n=\n201\n\n\n{\\displaystyle \\varphi (751,3)=\\varphi (751,2)-\\varphi (150,2)=251-\\,\\,\\,50=201}\n\n\n\n\n\nφ\n(\n751\n,\n2\n)\n=\nφ\n(\n751\n,\n1\n)\n−\nφ\n(\n250\n,\n1\n)\n=\n376\n−\n125\n=\n251\n\n\n{\\displaystyle \\varphi (751,2)=\\varphi (751,1)-\\varphi (250,1)=376-125=251}\n\n\n\n\n\nφ\n(\n150\n,\n2\n)\n=\nφ\n(\n150\n,\n1\n)\n−\nφ\n(\n50\n,\n1\n)\n=\n75\n−\n25\n\n\n{\\displaystyle \\varphi (150,2)=\\varphi (150,1)-\\varphi (50,1)=75-25}\n\n\n\n\n\n\n=\n\n\n{\\displaystyle =}\n\n\n\n\n\n\n50\n\n\n{\\displaystyle 50}\n\n\n\n\n\n\n\n\n\nφ\n(\n478\n,\n4\n)\n=\nφ\n(\n478\n,\n3\n)\n−\nφ\n(\n68\n,\n3\n)\n=\n127\n−\n18\n=\n109\n\n\n{\\displaystyle \\varphi (478,4)=\\varphi (478,3)-\\varphi (68,3)=127-18=109}\n\n\n\n\n\nφ\n(\n478\n,\n3\n)\n=\nφ\n(\n478\n,\n2\n)\n−\nφ\n(\n95\n,\n2\n)\n=\n159\n−\n32\n=\n127\n\n\n{\\displaystyle \\varphi (478,3)=\\varphi (478,2)-\\varphi (95,2)=159-32=127}\n\n\n\n\n\nφ\n(\n478\n,\n2\n)\n=\nφ\n(\n478\n,\n1\n)\n−\nφ\n(\n159\n,\n1\n)\n=\n239\n−\n80\n=\n159\n\n\n{\\displaystyle \\varphi (478,2)=\\varphi (478,1)-\\varphi (159,1)=239-80=159}\n\n\n\n\n\nφ\n(\n95\n,\n2\n)\n=\nφ\n(\n95\n,\n1\n)\n−\nφ\n(\n31\n,\n1\n)\n=\n48\n−\n16\n\n\n{\\displaystyle \\varphi (95,2)=\\varphi (95,1)-\\varphi (31,1)=48-16}\n\n\n\n\n\n\n=\n\n\n{\\displaystyle =}\n\n\n\n\n\n\n32\n\n\n{\\displaystyle 32}\n\n\n\n\n\n\n\n\n\nφ\n(\n68\n,\n3\n)\n=\nφ\n(\n68\n,\n2\n)\n−\nφ\n(\n13\n,\n2\n)\n=\n23\n−\n5\n=\n18\n\n\n{\\displaystyle \\varphi (68,3)=\\varphi (68,2)-\\varphi (13,2)=23-5=18}\n\n\n\n\n\nφ\n(\n68\n,\n2\n)\n=\nφ\n(\n68\n,\n1\n)\n−\nφ\n(\n22\n,\n1\n)\n=\n34\n−\n11\n=\n23\n\n\n{\\displaystyle \\varphi (68,2)=\\varphi (68,1)-\\varphi (22,1)=34-11=23}\n\n\n\n\n\nφ\n(\n13\n,\n2\n)\n=\nφ\n(\n13\n,\n1\n)\n−\nφ\n(\n4\n,\n1\n)\n=\n7\n−\n2\n\n\n{\\displaystyle \\varphi (13,2)=\\varphi (13,1)-\\varphi (4,1)=7-2}\n\n\n\n\n\n\n=\n\n\n{\\displaystyle =}\n\n\n\n\n\n\n5\n\n\n{\\displaystyle 5}\n\n\n\n\n\n\n\n\n\nφ\n(\n404\n,\n5\n)\n=\nφ\n(\n404\n,\n4\n)\n−\nφ\n(\n36\n,\n4\n)\n=\n93\n−\n8\n=\n85\n\n\n{\\displaystyle \\varphi (404,5)=\\varphi (404,4)-\\varphi (36,4)=93-8=85}\n\n\n\n\n\nφ\n(\n404\n,\n4\n)\n=\nφ\n(\n404\n,\n3\n)\n−\nφ\n(\n57\n,\n3\n)\n=\n108\n−\n15\n=\n93\n\n\n{\\displaystyle \\varphi (404,4)=\\varphi (404,3)-\\varphi (57,3)=108-15=93}\n\n\n\n\n\nφ\n(\n404\n,\n3\n)\n=\nφ\n(\n404\n,\n2\n)\n−\nφ\n(\n80\n,\n2\n)\n=\n135\n−\n27\n=\n108\n\n\n{\\displaystyle \\varphi (404,3)=\\varphi (404,2)-\\varphi (80,2)=135-27=108}\n\n\n\n\n\nφ\n(\n404\n,\n2\n)\n=\nφ\n(\n404\n,\n1\n)\n−\nφ\n(\n134\n,\n1\n)\n=\n202\n−\n67\n=\n135\n\n\n{\\displaystyle \\varphi (404,2)=\\varphi (404,1)-\\varphi (134,1)=202-67=135}\n\n\n\n\n\nφ\n(\n80\n,\n2\n)\n=\nφ\n(\n80\n,\n1\n)\n−\nφ\n(\n26\n,\n1\n)\n=\n40\n−\n13\n\n\n{\\displaystyle \\varphi (80,2)=\\varphi (80,1)-\\varphi (26,1)=40-13}\n\n\n\n\n\n\n=\n\n\n{\\displaystyle =}\n\n\n\n\n\n\n27\n\n\n{\\displaystyle 27}\n\n\n\n\n\n\n\n\n\nφ\n(\n57\n,\n3\n)\n=\nφ\n(\n57\n,\n2\n)\n−\nφ\n(\n11\n,\n2\n)\n=\n19\n−\n4\n=\n15\n\n\n{\\displaystyle \\varphi (57,3)=\\varphi (57,2)-\\varphi (11,2)=19-4=15}\n\n\n\n\n\nφ\n(\n57\n,\n2\n)\n=\nφ\n(\n57\n,\n1\n)\n−\nφ\n(\n19\n,\n1\n)\n=\n29\n−\n10\n=\n19\n\n\n{\\displaystyle \\varphi (57,2)=\\varphi (57,1)-\\varphi (19,1)=29-10=19}\n\n\n\n\n\nφ\n(\n11\n,\n2\n)\n=\nφ\n(\n11\n,\n1\n)\n−\nφ\n(\n3\n,\n1\n)\n=\n6\n−\n2\n\n\n{\\displaystyle \\varphi (11,2)=\\varphi (11,1)-\\varphi (3,1)=6-2}\n\n\n\n\n\n\n=\n\n\n{\\displaystyle =}\n\n\n\n\n\n\n4\n\n\n{\\displaystyle 4}\n\n\n\n\n\n\n\n\n\nφ\n(\n36\n,\n4\n)\n=\nφ\n(\n36\n,\n3\n)\n−\nφ\n(\n5\n,\n3\n)\n=\n9\n−\n1\n=\n8\n\n\n{\\displaystyle \\varphi (36,4)=\\varphi (36,3)-\\varphi (5,3)=9-1=8}\n\n\n\n\n\nφ\n(\n36\n,\n3\n)\n=\nφ\n(\n36\n,\n2\n)\n−\nφ\n(\n7\n,\n2\n)\n=\n12\n−\n3\n=\n9\n\n\n{\\displaystyle \\varphi (36,3)=\\varphi (36,2)-\\varphi (7,2)=12-3=9}\n\n\n\n\n\nφ\n(\n36\n,\n2\n)\n=\nφ\n(\n36\n,\n1\n)\n−\nφ\n(\n12\n,\n1\n)\n=\n18\n−\n6\n=\n12\n\n\n{\\displaystyle \\varphi (36,2)=\\varphi (36,1)-\\varphi (12,1)=18-6=12}\n\n\n\n\n\nφ\n(\n7\n,\n2\n)\n=\nφ\n(\n7\n,\n1\n)\n−\nφ\n(\n2\n,\n1\n)\n=\n4\n−\n1\n\n\n{\\displaystyle \\varphi (7,2)=\\varphi (7,1)-\\varphi (2,1)=4-1}\n\n\n\n\n\n\n=\n\n\n{\\displaystyle =}\n\n\n\n\n\n\n3\n\n\n{\\displaystyle 3}\n\n\n\n\n\n\n\n\n\nφ\n(\n5\n,\n3\n)\n=\nφ\n(\n5\n,\n2\n)\n−\nφ\n(\n1\n,\n2\n)\n=\n2\n−\n1\n=\n1\n\n\n{\\displaystyle \\varphi (5,3)=\\varphi (5,2)-\\varphi (1,2)=2-1=1}\n\n\n\n\n\nφ\n(\n5\n,\n2\n)\n=\nφ\n(\n5\n,\n1\n)\n−\nφ\n(\n1\n,\n1\n)\n=\n3\n−\n1\n=\n2\n\n\n{\\displaystyle \\varphi (5,2)=\\varphi (5,1)-\\varphi (1,1)=3-1=2}\n\n\n\n\n\n\n\n\n\n\n\nφ\n(\n309\n,\n6\n)\n=\nφ\n(\n309\n,\n5\n)\n−\nφ\n(\n23\n,\n5\n)\n=\n64\n−\n5\n=\n59\n\n\n{\\displaystyle \\varphi (309,6)=\\varphi (309,5)-\\varphi (23,5)=64-5=59}\n\n\n\n\n\nφ\n(\n309\n,\n5\n)\n=\nφ\n(\n309\n,\n4\n)\n−\nφ\n(\n28\n,\n4\n)\n=\n70\n−\n6\n=\n64\n\n\n{\\displaystyle \\varphi (309,5)=\\varphi (309,4)-\\varphi (28,4)=70-6=64}\n\n\n\n\n\nφ\n(\n309\n,\n4\n)\n=\nφ\n(\n309\n,\n3\n)\n−\nφ\n(\n44\n,\n3\n)\n=\n82\n−\n12\n=\n70\n\n\n{\\displaystyle \\varphi (309,4)=\\varphi (309,3)-\\varphi (44,3)=82-12=70}\n\n\n\n\n\nφ\n(\n309\n,\n3\n)\n=\nφ\n(\n309\n,\n2\n)\n−\nφ\n(\n61\n,\n2\n)\n=\n103\n−\n21\n=\n82\n\n\n{\\displaystyle \\varphi (309,3)=\\varphi (309,2)-\\varphi (61,2)=103-21=82}\n\n\n\n\n\nφ\n(\n309\n,\n2\n)\n=\nφ\n(\n309\n,\n1\n)\n−\nφ\n(\n103\n,\n1\n)\n=\n155\n−\n52\n=\n103\n\n\n{\\displaystyle \\varphi (309,2)=\\varphi (309,1)-\\varphi (103,1)=155-52=103}\n\n\n\n\n\nφ\n(\n61\n,\n2\n)\n=\nφ\n(\n61\n,\n1\n)\n−\nφ\n(\n20\n,\n1\n)\n=\n31\n−\n10\n\n\n{\\displaystyle \\varphi (61,2)=\\varphi (61,1)-\\varphi (20,1)=31-10}\n\n\n\n\n\n\n=\n\n\n{\\displaystyle =}\n\n\n\n\n\n\n21\n\n\n{\\displaystyle 21}\n\n\n\n\n\n\n\n\n\nφ\n(\n44\n,\n3\n)\n=\nφ\n(\n44\n,\n2\n)\n−\nφ\n(\n8\n,\n2\n)\n=\n15\n−\n3\n=\n12\n\n\n{\\displaystyle \\varphi (44,3)=\\varphi (44,2)-\\varphi (8,2)=15-3=12}\n\n\n\n\n\nφ\n(\n44\n,\n2\n)\n=\nφ\n(\n44\n,\n1\n)\n−\nφ\n(\n14\n,\n1\n)\n=\n22\n−\n7\n=\n15\n\n\n{\\displaystyle \\varphi (44,2)=\\varphi (44,1)-\\varphi (14,1)=22-7=15}\n\n\n\n\n\nφ\n(\n8\n,\n2\n)\n=\nφ\n(\n8\n,\n1\n)\n−\nφ\n(\n2\n,\n1\n)\n=\n4\n−\n1\n\n\n{\\displaystyle \\varphi (8,2)=\\varphi (8,1)-\\varphi (2,1)=4-1}\n\n\n\n\n\n\n=\n\n\n{\\displaystyle =}\n\n\n\n\n\n\n3\n\n\n{\\displaystyle 3}\n\n\n\n\n\n\n\n\nφ\n(\n25\n,\n4\n)\n=\nφ\n(\n28\n,\n3\n)\n−\nφ\n(\n4\n,\n3\n)\n=\n7\n−\n1\n=\n6\n\n\n{\\displaystyle \\varphi (25,4)=\\varphi (28,3)-\\varphi (4,3)=7-1=6}\n\n\n\n\n\nφ\n(\n28\n,\n3\n)\n=\nφ\n(\n28\n,\n2\n)\n−\nφ\n(\n5\n,\n2\n)\n=\n9\n−\n2\n=\n7\n\n\n{\\displaystyle \\varphi (28,3)=\\varphi (28,2)-\\varphi (5,2)=9-2=7}\n\n\n\n\n\nφ\n(\n28\n,\n2\n)\n=\nφ\n(\n28\n,\n1\n)\n−\nφ\n(\n9\n,\n1\n)\n=\n14\n−\n5\n=\n9\n\n\n{\\displaystyle \\varphi (28,2)=\\varphi (28,1)-\\varphi (9,1)=14-5=9}\n\n\n\n\n\nφ\n(\n5\n,\n2\n)\n=\nφ\n(\n5\n,\n1\n)\n−\nφ\n(\n1\n,\n1\n)\n=\n3\n−\n1\n\n\n{\\displaystyle \\varphi (5,2)=\\varphi (5,1)-\\varphi (1,1)=3-1}\n\n\n\n\n\n\n=\n\n\n{\\displaystyle =}\n\n\n\n\n\n\n2\n\n\n{\\displaystyle 2}\n\n\n\n\n\n"}}
	{"gt_parse": {"text_sequance": "\n\n\n\n\n\nφ\n(\n23\n,\n5\n)\n=\nφ\n(\n23\n,\n4\n)\n−\nφ\n(\n2\n,\n4\n)\n=\n\n\n\n6\n−\n1\n=\n5\n\n\n{\\displaystyle \\varphi (23,5)=\\varphi (23,4)-\\varphi (2,4)=\\,\\,\\,6-1=5}\n\n\n\n\n\nφ\n(\n23\n,\n4\n)\n=\nφ\n(\n23\n,\n3\n)\n−\nφ\n(\n3\n,\n3\n)\n=\n\n\n\n7\n−\n1\n=\n6\n\n\n{\\displaystyle \\varphi (23,4)=\\varphi (23,3)-\\varphi (3,3)=\\,\\,\\,7-1=6}\n\n\n\n\n\nφ\n(\n23\n,\n3\n)\n=\nφ\n(\n23\n,\n2\n)\n−\nφ\n(\n4\n,\n2\n)\n=\n\n\n\n8\n−\n1\n=\n7\n\n\n{\\displaystyle \\varphi (23,3)=\\varphi (23,2)-\\varphi (4,2)=\\,\\,\\,8-1=7}\n\n\n\n\n\nφ\n(\n23\n,\n2\n)\n=\nφ\n(\n23\n,\n1\n)\n−\nφ\n(\n7\n,\n1\n)\n=\n12\n−\n4\n=\n8\n\n\n{\\displaystyle \\varphi (23,2)=\\varphi (23,1)-\\varphi (7,1)=12-4=8}\n\n\n\n\n\n\n\n{\\displaystyle }\n\n\n\n\n\n\n\n{\\displaystyle }\n\n\n\n\n\n\n\n\n\nφ\n(\n4347\n,\n8\n)\n=\nφ\n(\n4347\n,\n7\n)\n−\nφ\n(\n\n\n\n228\n,\n7\n)\n=\n\n\n\n785\n−\n\n\n\n43\n=\n\n\n\n742\n\n\n{\\displaystyle \\varphi (4347,8)=\\varphi (4347,7)-\\varphi (\\,\\,\\,228,7)=\\,\\,\\,785-\\,\\,\\,43=\\,\\,\\,742}\n\n\n\n\n\nφ\n(\n4347\n,\n7\n)\n=\nφ\n(\n4347\n,\n6\n)\n−\nφ\n(\n\n\n\n255\n,\n6\n)\n=\n\n\n\n834\n−\n\n\n\n49\n=\n\n\n\n785\n\n\n{\\displaystyle \\varphi (4347,7)=\\varphi (4347,6)-\\varphi (\\,\\,\\,255,6)=\\,\\,\\,834-\\,\\,\\,49=\\,\\,\\,785}\n\n\n\n\n\nφ\n(\n4347\n,\n6\n)\n=\nφ\n(\n4347\n,\n5\n)\n−\nφ\n(\n\n\n\n334\n,\n5\n)\n=\n\n\n\n903\n−\n\n\n\n69\n=\n\n\n\n834\n\n\n{\\displaystyle \\varphi (4347,6)=\\varphi (4347,5)-\\varphi (\\,\\,\\,334,5)=\\,\\,\\,903-\\,\\,\\,69=\\,\\,\\,834}\n\n\n\n\n\nφ\n(\n4347\n,\n5\n)\n=\nφ\n(\n4347\n,\n4\n)\n−\nφ\n(\n\n\n\n395\n,\n4\n)\n=\n\n\n\n993\n−\n\n\n\n90\n=\n\n\n\n903\n\n\n{\\displaystyle \\varphi (4347,5)=\\varphi (4347,4)-\\varphi (\\,\\,\\,395,4)=\\,\\,\\,993-\\,\\,\\,90=\\,\\,\\,903}\n\n\n\n\n\nφ\n(\n4347\n,\n4\n)\n=\nφ\n(\n4347\n,\n3\n)\n−\nφ\n(\n\n\n\n621\n,\n3\n)\n=\n1159\n−\n166\n=\n\n\n\n993\n\n\n{\\displaystyle \\varphi (4347,4)=\\varphi (4347,3)-\\varphi (\\,\\,\\,621,3)=1159-166=\\,\\,\\,993}\n\n\n\n\n\nφ\n(\n4347\n,\n3\n)\n=\nφ\n(\n4347\n,\n2\n)\n−\nφ\n(\n\n\n\n869\n,\n2\n)\n=\n1149\n−\n290\n=\n1159\n\n\n{\\displaystyle \\varphi (4347,3)=\\varphi (4347,2)-\\varphi (\\,\\,\\,869,2)=1149-290=1159}\n\n\n\n\n\nφ\n(\n4347\n,\n2\n)\n=\nφ\n(\n4347\n,\n1\n)\n−\nφ\n(\n1449\n,\n1\n)\n=\n2174\n−\n725\n=\n1449\n\n\n{\\displaystyle \\varphi (4347,2)=\\varphi (4347,1)-\\varphi (1449,1)=2174-725=1449}\n\n\n\n\n\nφ\n(\n869\n,\n2\n)\n=\nφ\n(\n869\n,\n1\n)\n−\nφ\n(\n289\n,\n1\n)\n=\n435\n−\n\n\n\n145\n\n\n{\\displaystyle \\varphi (869,2)=\\varphi (869,1)-\\varphi (289,1)=435-\\,\\,\\,145}\n\n\n\n\n\n\n=\n\n\n{\\displaystyle =}\n\n\n\n\n\n\n290\n\n\n{\\displaystyle 290}\n\n\n\n\n\n\n\n\n\nφ\n(\n621\n,\n3\n)\n=\nφ\n(\n621\n,\n2\n)\n−\nφ\n(\n124\n,\n2\n)\n=\n207\n−\n\n\n\n41\n\n\n{\\displaystyle \\varphi (621,3)=\\varphi (621,2)-\\varphi (124,2)=207-\\,\\,\\,41}\n\n\n\n\n\n\n=\n\n\n{\\displaystyle =}\n\n\n\n\n\n\n164\n\n\n{\\displaystyle 164}\n\n\n\n\n\n\n\n\nφ\n(\n621\n,\n2\n)\n=\nφ\n(\n621\n,\n1\n)\n−\nφ\n(\n207\n,\n1\n)\n=\n311\n−\n104\n\n\n{\\displaystyle \\varphi (621,2)=\\varphi (621,1)-\\varphi (207,1)=311-104}\n\n\n\n\n\n\n=\n\n\n{\\displaystyle =}\n\n\n\n\n\n\n207\n\n\n{\\displaystyle 207}\n\n\n\n\n\n\n\n\nφ\n(\n124\n,\n2\n)\n=\nφ\n(\n124\n,\n1\n)\n−\nφ\n(\n41\n,\n1\n)\n=\n\n\n\n62\n−\n\n\n\n21\n\n\n{\\displaystyle \\varphi (124,2)=\\varphi (124,1)-\\varphi (41,1)=\\,\\,\\,62-\\,\\,\\,21}\n\n\n\n\n\n\n=\n\n\n{\\displaystyle =}\n\n\n\n\n\n\n41\n\n\n{\\displaystyle 41}\n\n\n\n\n\n\n\n\n\nφ\n(\n395\n,\n4\n)\n=\nφ\n(\n395\n,\n3\n)\n−\nφ\n(\n56\n,\n3\n)\n=\n105\n−\n15\n=\n\n\n\n90\n\n\n{\\displaystyle \\varphi (395,4)=\\varphi (395,3)-\\varphi (56,3)=105-15=\\,\\,\\,90}\n\n\n\n\n\nφ\n(\n395\n,\n3\n)\n=\nφ\n(\n395\n,\n2\n)\n−\nφ\n(\n79\n,\n2\n)\n=\n132\n−\n27\n=\n105\n\n\n{\\displaystyle \\varphi (395,3)=\\varphi (395,2)-\\varphi (79,2)=132-27=105}\n\n\n\n\n\nφ\n(\n395\n,\n2\n)\n=\nφ\n(\n395\n,\n1\n)\n−\nφ\n(\n131\n,\n1\n)\n=\n198\n−\n66\n=\n132\n\n\n{\\displaystyle \\varphi (395,2)=\\varphi (395,1)-\\varphi (131,1)=198-66=132}\n\n\n\n\n\nφ\n(\n79\n,\n2\n)\n=\nφ\n(\n79\n,\n1\n)\n−\nφ\n(\n26\n,\n1\n)\n=\n40\n−\n13\n\n\n{\\displaystyle \\varphi (79,2)=\\varphi (79,1)-\\varphi (26,1)=40-13}\n\n\n\n\n\n\n=\n\n\n{\\displaystyle =}\n\n\n\n\n\n\n27\n\n\n{\\displaystyle 27}\n\n\n\n\n\n\n\n\n\nφ\n(\n56\n,\n3\n)\n=\nφ\n(\n56\n,\n2\n)\n−\nφ\n(\n11\n,\n2\n)\n=\n19\n−\n4\n=\n15\n\n\n{\\displaystyle \\varphi (56,3)=\\varphi (56,2)-\\varphi (11,2)=19-4=15}\n\n\n\n\n\nφ\n(\n56\n,\n2\n)\n=\nφ\n(\n56\n,\n1\n)\n−\nφ\n(\n18\n,\n1\n)\n=\n28\n−\n9\n=\n19\n\n\n{\\displaystyle \\varphi (56,2)=\\varphi (56,1)-\\varphi (18,1)=28-9=19}\n\n\n\n\n\nφ\n(\n11\n,\n2\n)\n=\nφ\n(\n11\n,\n1\n)\n−\nφ\n(\n3\n,\n1\n)\n=\n6\n−\n\n\n\n2\n\n\n{\\displaystyle \\varphi (11,2)=\\varphi (11,1)-\\varphi (3,1)=6-\\,\\,\\,2}\n\n\n\n\n\n\n=\n\n\n{\\displaystyle =}\n\n\n\n\n\n\n4\n\n\n{\\displaystyle 4}\n\n\n\n\n\n\n\n\n\nφ\n(\n334\n,\n5\n)\n=\nφ\n(\n334\n,\n4\n)\n−\nφ\n(\n\n\n\n30\n,\n4\n)\n=\n\n\n\n76\n−\n\n\n\n7\n=\n\n\n\n69\n\n\n{\\displaystyle \\varphi (334,5)=\\varphi (334,4)-\\varphi (\\,\\,\\,30,4)=\\,\\,\\,76-\\,\\,\\,7=\\,\\,\\,69}\n\n\n\n\n\nφ\n(\n334\n,\n4\n)\n=\nφ\n(\n334\n,\n3\n)\n−\nφ\n(\n\n\n\n47\n,\n3\n)\n=\n\n\n\n89\n−\n13\n=\n\n\n\n76\n\n\n{\\displaystyle \\varphi (334,4)=\\varphi (334,3)-\\varphi (\\,\\,\\,47,3)=\\,\\,\\,89-13=\\,\\,\\,76}\n\n\n\n\n\nφ\n(\n334\n,\n3\n)\n=\nφ\n(\n334\n,\n2\n)\n−\nφ\n(\n\n\n\n66\n,\n2\n)\n=\n111\n−\n22\n=\n\n\n\n89\n\n\n{\\displaystyle \\varphi (334,3)=\\varphi (334,2)-\\varphi (\\,\\,\\,66,2)=111-22=\\,\\,\\,89}\n\n\n\n\n\nφ\n(\n334\n,\n2\n)\n=\nφ\n(\n334\n,\n1\n)\n−\nφ\n(\n111\n,\n1\n)\n=\n167\n−\n56\n=\n111\n\n\n{\\displaystyle \\varphi (334,2)=\\varphi (334,1)-\\varphi (111,1)=167-56=111}\n\n\n\n\n\nφ\n(\n66\n,\n2\n)\n=\nφ\n(\n66\n,\n1\n)\n−\nφ\n(\n22\n,\n1\n)\n=\n33\n−\n\n\n\n11\n\n\n{\\displaystyle \\varphi (66,2)=\\varphi (66,1)-\\varphi (22,1)=33-\\,\\,\\,11}\n\n\n\n\n\n\n=\n\n\n{\\displaystyle =}\n\n\n\n\n\n\n22\n\n\n{\\displaystyle 22}\n\n\n\n\n\n\n\n\n\nφ\n(\n47\n,\n3\n)\n=\nφ\n(\n47\n,\n2\n)\n−\nφ\n(\n\n\n\n9\n,\n2\n)\n=\n\n\n\n\n\n\n\n\n\n\n\n16\n−\n\n\n\n\n\n\n\n\n\n\n\n3\n\n\n{\\displaystyle \\varphi (47,3)=\\varphi (47,2)-\\varphi (\\,\\,\\,9,2)=\\,\\,\\,\\,\\,\\,\\,\\,\\,\\,\\,16-\\,\\,\\,\\,\\,\\,\\,\\,\\,\\,\\,3}\n\n\n\n\n\n\n=\n\n\n{\\displaystyle =}\n\n\n\n\n\n\n13\n\n\n{\\displaystyle 13}\n\n\n\n\n\n\n\n\nφ\n(\n47\n,\n2\n)\n=\nφ\n(\n47\n,\n1\n)\n−\nφ\n(\n15\n,\n1\n)\n=\n\n\n\n\n\n\n\n\n\n\n\n24\n−\n\n\n\n\n\n\n\n\n\n\n\n8\n\n\n{\\displaystyle \\varphi (47,2)=\\varphi (47,1)-\\varphi (15,1)=\\,\\,\\,\\,\\,\\,\\,\\,\\,\\,\\,24-\\,\\,\\,\\,\\,\\,\\,\\,\\,\\,\\,8}\n\n\n\n\n\n\n=\n\n\n{\\displaystyle =}\n\n\n\n\n\n\n16\n\n\n{\\displaystyle 16}\n\n\n\n\n\n\n\n\nφ\n(\n\n\n\n9\n,\n2\n)\n=\nφ\n(\n\n\n\n9\n,\n1\n)\n−\nφ\n(\n3\n,\n1\n)\n=\n5\n−\n2\n\n\n{\\displaystyle \\varphi (\\,\\,\\,9,2)=\\varphi (\\,\\,\\,9,1)-\\varphi (3,1)=5-2}\n\n\n\n\n\n\n=\n\n\n{\\displaystyle =}\n\n\n\n\n\n\n\n\n\n3\n\n\n{\\displaystyle \\,\\,\\,3}\n\n\n\n\n\n\n\n\n\nφ\n(\n30\n,\n4\n)\n=\nφ\n(\n30\n,\n3\n)\n−\nφ\n(\n\n\n\n4\n,\n3\n)\n=\n\n\n\n8\n−\n1\n=\n\n\n\n7\n\n\n{\\displaystyle \\varphi (30,4)=\\varphi (30,3)-\\varphi (\\,\\,\\,4,3)=\\,\\,\\,8-1=\\,\\,\\,7}\n\n\n\n\n\nφ\n(\n30\n,\n3\n)\n=\nφ\n(\n30\n,\n2\n)\n−\nφ\n(\n\n\n\n6\n,\n2\n)\n=\n10\n−\n2\n=\n\n\n\n8\n\n\n{\\displaystyle \\varphi (30,3)=\\varphi (30,2)-\\varphi (\\,\\,\\,6,2)=10-2=\\,\\,\\,8}\n\n\n\n\n\nφ\n(\n30\n,\n2\n)\n=\nφ\n(\n30\n,\n1\n)\n−\nφ\n(\n10\n,\n1\n)\n=\n15\n−\n5\n=\n10\n\n\n{\\displaystyle \\varphi (30,2)=\\varphi (30,1)-\\varphi (10,1)=15-5=10}\n\n\n\n\n\n\n\n{\\displaystyle }\n\n\n\n\n\n\n\n{\\displaystyle }\n\n\n\n\n\n"}}
	{"gt_parse": {"text_sequance": "\n\n\n\n\n\nφ\n(\n255\n,\n6\n)\n=\nφ\n(\n255\n,\n5\n)\n−\nφ\n(\n19\n,\n5\n)\n=\n\n\n\n\n\n\n53\n\n\n\n\n\n\n\n−\n\n\n\n4\n=\n49\n\n\n{\\displaystyle \\varphi (255,6)=\\varphi (255,5)-\\varphi (19,5)=\\,\\,\\,\\,\\,\\,53\\,\\,\\,\\,\\,\\,\\,-\\,\\,\\,4=49}\n\n \n\n\n\nφ\n(\n255\n,\n5\n)\n=\nφ\n(\n255\n,\n4\n)\n−\nφ\n(\n23\n,\n4\n)\n=\n\n\n\n\n\n\n59\n\n\n\n\n\n\n\n−\n\n\n\n6\n=\n53\n\n\n{\\displaystyle \\varphi (255,5)=\\varphi (255,4)-\\varphi (23,4)=\\,\\,\\,\\,\\,\\,59\\,\\,\\,\\,\\,\\,\\,-\\,\\,\\,6=53}\n\n \n\n\n\nφ\n(\n255\n,\n4\n)\n=\nφ\n(\n255\n,\n3\n)\n−\nφ\n(\n36\n,\n3\n)\n=\n\n\n\n\n\n\n68\n\n\n\n\n\n\n\n−\n\n\n\n9\n=\n59\n\n\n{\\displaystyle \\varphi (255,4)=\\varphi (255,3)-\\varphi (36,3)=\\,\\,\\,\\,\\,\\,68\\,\\,\\,\\,\\,\\,\\,-\\,\\,\\,9=59}\n\n \n\n\n\nφ\n(\n255\n,\n3\n)\n=\nφ\n(\n255\n,\n2\n)\n−\nφ\n(\n51\n,\n2\n)\n=\n\n\n\n\n\n\n85\n\n\n\n\n\n\n\n−\n17\n=\n68\n\n\n{\\displaystyle \\varphi (255,3)=\\varphi (255,2)-\\varphi (51,2)=\\,\\,\\,\\,\\,\\,85\\,\\,\\,\\,\\,\\,\\,-17=68}\n\n \n\n\n\nφ\n(\n255\n,\n2\n)\n=\nφ\n(\n255\n,\n1\n)\n−\nφ\n(\n85\n,\n1\n)\n=\n\n\n\n128\n\n\n\n\n\n\n\n−\n43\n=\n85\n\n\n{\\displaystyle \\varphi (255,2)=\\varphi (255,1)-\\varphi (85,1)=\\,\\,\\,128\\,\\,\\,\\,\\,\\,\\,-43=85}\n\n \n\n\n\nφ\n(\n\n\n\n51\n,\n2\n)\n=\nφ\n(\n51\n,\n1\n)\n−\nφ\n(\n17\n,\n1\n)\n=\n26\n−\n\n\n\n9\n\n\n{\\displaystyle \\varphi (\\,\\,\\,51,2)=\\varphi (51,1)-\\varphi (17,1)=26-\\,\\,\\,9}\n\n \n\n\n\n\n=\n\n\n{\\displaystyle =}\n\n\n\n\n\n\n17\n\n\n{\\displaystyle 17}\n\n\n\n\n\n\n\n\n\nφ\n(\n36\n,\n3\n)\n=\nφ\n(\n36\n,\n2\n)\n−\nφ\n(\n\n\n\n7\n,\n2\n)\n=\n\n\n\n\n\n\n\n\n\n\n\n12\n−\n3\n=\n\n\n\n9\n\n\n{\\displaystyle \\varphi (36,3)=\\varphi (36,2)-\\varphi (\\,\\,\\,7,2)=\\,\\,\\,\\,\\,\\,\\,\\,\\,\\,\\,12-3=\\,\\,\\,9}\n\n\n\n\n\nφ\n(\n36\n,\n2\n)\n=\nφ\n(\n36\n,\n1\n)\n−\nφ\n(\n12\n,\n1\n)\n=\n\n\n\n\n\n\n\n\n\n\n\n18\n−\n6\n=\n12\n\n\n{\\displaystyle \\varphi (36,2)=\\varphi (36,1)-\\varphi (12,1)=\\,\\,\\,\\,\\,\\,\\,\\,\\,\\,\\,18-6=12}\n\n\n\n\n\nφ\n(\n\n\n\n7\n,\n2\n)\n=\nφ\n(\n\n\n\n7\n,\n1\n)\n−\nφ\n(\n2\n,\n1\n)\n=\n4\n−\n\n\n\n1\n\n\n{\\displaystyle \\varphi (\\,\\,\\,7,2)=\\varphi (\\,\\,\\,7,1)-\\varphi (2,1)=4-\\,\\,\\,1}\n\n\n\n\n\n\n=\n\n\n{\\displaystyle =}\n\n\n\n\n\n\n3\n\n\n{\\displaystyle 3}\n\n\n\n\n\n\n\n\n\nφ\n(\n23\n,\n4\n)\n=\nφ\n(\n23\n,\n3\n)\n−\nφ\n(\n3\n,\n3\n)\n=\n\n\n\n7\n−\n1\n=\n6\n\n\n{\\displaystyle \\varphi (23,4)=\\varphi (23,3)-\\varphi (3,3)=\\,\\,\\,7-1=6}\n\n\n\n\n\nφ\n(\n23\n,\n3\n)\n=\nφ\n(\n23\n,\n2\n)\n−\nφ\n(\n4\n,\n2\n)\n=\n\n\n\n8\n−\n1\n=\n7\n\n\n{\\displaystyle \\varphi (23,3)=\\varphi (23,2)-\\varphi (4,2)=\\,\\,\\,8-1=7}\n\n\n\n\n\nφ\n(\n23\n,\n2\n)\n=\nφ\n(\n23\n,\n1\n)\n−\nφ\n(\n7\n,\n1\n)\n=\n12\n−\n4\n=\n8\n\n\n{\\displaystyle \\varphi (23,2)=\\varphi (23,1)-\\varphi (7,1)=12-4=8}\n\n\n\n\n\n\n\n\n\n\n\nφ\n(\n19\n,\n5\n)\n=\nφ\n(\n19\n,\n4\n)\n−\nφ\n(\n1\n,\n4\n)\n=\n\n\n\n5\n−\n1\n=\n4\n\n\n{\\displaystyle \\varphi (19,5)=\\varphi (19,4)-\\varphi (1,4)=\\,\\,\\,5-1=4}\n\n\n\n\n\nφ\n(\n19\n,\n4\n)\n=\nφ\n(\n19\n,\n3\n)\n−\nφ\n(\n2\n,\n3\n)\n=\n\n\n\n6\n−\n1\n=\n5\n\n\n{\\displaystyle \\varphi (19,4)=\\varphi (19,3)-\\varphi (2,3)=\\,\\,\\,6-1=5}\n\n\n\n\n\nφ\n(\n19\n,\n3\n)\n=\nφ\n(\n19\n,\n2\n)\n−\nφ\n(\n3\n,\n2\n)\n=\n\n\n\n7\n−\n1\n=\n6\n\n\n{\\displaystyle \\varphi (19,3)=\\varphi (19,2)-\\varphi (3,2)=\\,\\,\\,7-1=6}\n\n\n\n\n\nφ\n(\n19\n,\n2\n)\n=\nφ\n(\n19\n,\n1\n)\n−\nφ\n(\n6\n,\n1\n)\n=\n10\n−\n3\n=\n7\n\n\n{\\displaystyle \\varphi (19,2)=\\varphi (19,1)-\\varphi (6,1)=10-3=7}\n\n\n\n\n\n\n\n\n\n\n\nφ\n(\n228\n,\n7\n)\n=\nφ\n(\n228\n,\n6\n)\n−\nφ\n(\n13\n,\n6\n)\n=\n\n\n\n\n\n\n44\n\n\n\n\n\n\n\n\n−\n\n\n\n1\n=\n43\n\n\n{\\displaystyle \\varphi (228,7)=\\varphi (228,6)-\\varphi (13,6)=\\,\\,\\,\\,\\,\\,44\\,\\,\\,\\,\\,\\,\\,\\,-\\,\\,\\,1=43}\n\n \n\n\n\nφ\n(\n228\n,\n6\n)\n=\nφ\n(\n228\n,\n5\n)\n−\nφ\n(\n17\n,\n5\n)\n=\n\n\n\n\n\n\n47\n\n\n\n\n\n\n\n\n−\n\n\n\n3\n=\n44\n\n\n{\\displaystyle \\varphi (228,6)=\\varphi (228,5)-\\varphi (17,5)=\\,\\,\\,\\,\\,\\,47\\,\\,\\,\\,\\,\\,\\,\\,-\\,\\,\\,3=44}\n\n \n\n\n\nφ\n(\n228\n,\n5\n)\n=\nφ\n(\n228\n,\n4\n)\n−\nφ\n(\n20\n,\n4\n)\n=\n\n\n\n\n\n\n52\n\n\n\n\n\n\n\n\n−\n\n\n\n5\n=\n47\n\n\n{\\displaystyle \\varphi (228,5)=\\varphi (228,4)-\\varphi (20,4)=\\,\\,\\,\\,\\,\\,52\\,\\,\\,\\,\\,\\,\\,\\,-\\,\\,\\,5=47}\n\n \n\n\n\nφ\n(\n228\n,\n4\n)\n=\nφ\n(\n228\n,\n3\n)\n−\nφ\n(\n32\n,\n3\n)\n=\n\n\n\n\n\n\n61\n\n\n\n\n\n\n\n\n−\n\n\n\n9\n=\n52\n\n\n{\\displaystyle \\varphi (228,4)=\\varphi (228,3)-\\varphi (32,3)=\\,\\,\\,\\,\\,\\,61\\,\\,\\,\\,\\,\\,\\,\\,-\\,\\,\\,9=52}\n\n \n\n\n\nφ\n(\n228\n,\n3\n)\n=\nφ\n(\n228\n,\n2\n)\n−\nφ\n(\n45\n,\n2\n)\n=\n\n\n\n\n\n\n76\n\n\n\n\n\n\n\n\n−\n15\n=\n61\n\n\n{\\displaystyle \\varphi (228,3)=\\varphi (228,2)-\\varphi (45,2)=\\,\\,\\,\\,\\,\\,76\\,\\,\\,\\,\\,\\,\\,\\,-15=61}\n\n \n\n\n\nφ\n(\n228\n,\n2\n)\n=\nφ\n(\n228\n,\n1\n)\n−\nφ\n(\n76\n,\n1\n)\n=\n\n\n\n114\n\n\n\n\n\n\n\n\n−\n38\n=\n76\n\n\n{\\displaystyle \\varphi (228,2)=\\varphi (228,1)-\\varphi (76,1)=\\,\\,\\,114\\,\\,\\,\\,\\,\\,\\,\\,-38=76}\n\n \n\n\n\nφ\n(\n\n\n\n45\n,\n2\n)\n=\nφ\n(\n45\n,\n1\n)\n−\nφ\n(\n15\n,\n1\n)\n=\n23\n−\n\n\n\n8\n\n\n{\\displaystyle \\varphi (\\,\\,\\,45,2)=\\varphi (45,1)-\\varphi (15,1)=23-\\,\\,\\,8}\n\n \n\n\n\n\n=\n\n\n{\\displaystyle =}\n\n\n\n\n\n\n15\n\n\n{\\displaystyle 15}\n\n\n\n\n\n\n\n\n\nφ\n(\n32\n,\n3\n)\n=\nφ\n(\n32\n,\n2\n)\n−\nφ\n(\n\n\n\n6\n,\n2\n)\n=\n11\n−\n2\n\n\n{\\displaystyle \\varphi (32,3)=\\varphi (32,2)-\\varphi (\\,\\,\\,6,2)=11-2}\n\n\n\n\n\n\n=\n\n\n{\\displaystyle =}\n\n\n\n\n\n\n9\n\n\n{\\displaystyle 9}\n\n\n\n\n\n\n\n\nφ\n(\n32\n,\n2\n)\n=\nφ\n(\n32\n,\n1\n)\n−\nφ\n(\n10\n,\n1\n)\n=\n16\n−\n5\n\n\n{\\displaystyle \\varphi (32,2)=\\varphi (32,1)-\\varphi (10,1)=16-5}\n\n\n\n\n\n\n=\n\n\n{\\displaystyle =}\n\n\n\n\n\n\n11\n\n\n{\\displaystyle 11}\n\n\n\n\n\n\n\n\n\nφ\n(\n3448\n,\n9\n)\n=\nφ\n(\n3448\n,\n8\n)\n−\nφ\n(\n\n\n\n149\n,\n8\n)\n=\n\n\n\n\n\n\n584\n\n\n\n\n\n\n\n\n−\n\n\n\n28\n=\n\n\n\n556\n\n\n{\\displaystyle \\varphi (3448,9)=\\varphi (3448,8)-\\varphi (\\,\\,\\,149,8)=\\,\\,\\,\\,\\,\\,584\\,\\,\\,\\,\\,\\,\\,\\,-\\,\\,\\,28=\\,\\,\\,556}\n\n\n\n\n\nφ\n(\n3448\n,\n8\n)\n=\nφ\n(\n3448\n,\n7\n)\n−\nφ\n(\n\n\n\n181\n,\n7\n)\n=\n\n\n\n\n\n\n620\n\n\n\n\n\n\n\n\n−\n\n\n\n36\n=\n\n\n\n584\n\n\n{\\displaystyle \\varphi (3448,8)=\\varphi (3448,7)-\\varphi (\\,\\,\\,181,7)=\\,\\,\\,\\,\\,\\,620\\,\\,\\,\\,\\,\\,\\,\\,-\\,\\,\\,36=\\,\\,\\,584}\n\n\n\n\n\nφ\n(\n3448\n,\n7\n)\n=\nφ\n(\n3448\n,\n6\n)\n−\nφ\n(\n\n\n\n202\n,\n6\n)\n=\n\n\n\n\n\n\n661\n\n\n\n\n\n\n\n\n−\n\n\n\n41\n=\n\n\n\n620\n\n\n{\\displaystyle \\varphi (3448,7)=\\varphi (3448,6)-\\varphi (\\,\\,\\,202,6)=\\,\\,\\,\\,\\,\\,661\\,\\,\\,\\,\\,\\,\\,\\,-\\,\\,\\,41=\\,\\,\\,620}\n\n\n\n\n\nφ\n(\n3448\n,\n6\n)\n=\nφ\n(\n3448\n,\n5\n)\n−\nφ\n(\n\n\n\n265\n,\n5\n)\n=\n\n\n\n\n\n\n716\n\n\n\n\n\n\n\n\n−\n\n\n\n55\n=\n\n\n\n661\n\n\n{\\displaystyle \\varphi (3448,6)=\\varphi (3448,5)-\\varphi (\\,\\,\\,265,5)=\\,\\,\\,\\,\\,\\,716\\,\\,\\,\\,\\,\\,\\,\\,-\\,\\,\\,55=\\,\\,\\,661}\n\n\n\n\n\nφ\n(\n3448\n,\n5\n)\n=\nφ\n(\n3448\n,\n4\n)\n−\nφ\n(\n\n\n\n313\n,\n4\n)\n=\n\n\n\n\n\n\n788\n\n\n\n\n\n\n\n\n−\n\n\n\n72\n=\n\n\n\n716\n\n\n{\\displaystyle \\varphi (3448,5)=\\varphi (3448,4)-\\varphi (\\,\\,\\,313,4)=\\,\\,\\,\\,\\,\\,788\\,\\,\\,\\,\\,\\,\\,\\,-\\,\\,\\,72=\\,\\,\\,716}\n\n\n\n\n\nφ\n(\n3448\n,\n4\n)\n=\nφ\n(\n3448\n,\n3\n)\n−\nφ\n(\n\n\n\n492\n,\n3\n)\n=\n\n\n\n\n\n\n919\n\n\n\n\n\n\n\n\n−\n131\n=\n\n\n\n788\n\n\n{\\displaystyle \\varphi (3448,4)=\\varphi (3448,3)-\\varphi (\\,\\,\\,492,3)=\\,\\,\\,\\,\\,\\,919\\,\\,\\,\\,\\,\\,\\,\\,-131=\\,\\,\\,788}\n\n\n\n\n\nφ\n(\n3448\n,\n3\n)\n=\nφ\n(\n3448\n,\n2\n)\n−\nφ\n(\n\n\n\n689\n,\n2\n)\n=\n\n\n\n1149\n\n\n\n\n\n\n\n\n−\n230\n=\n\n\n\n919\n\n\n{\\displaystyle \\varphi (3448,3)=\\varphi (3448,2)-\\varphi (\\,\\,\\,689,2)=\\,\\,\\,1149\\,\\,\\,\\,\\,\\,\\,\\,-230=\\,\\,\\,919}\n\n\n\n\n\nφ\n(\n3448\n,\n2\n)\n=\nφ\n(\n3448\n,\n1\n)\n−\nφ\n(\n1149\n,\n1\n)\n=\n\n\n\n1724\n\n\n\n\n\n\n\n\n−\n575\n=\n1149\n\n\n{\\displaystyle \\varphi (3448,2)=\\varphi (3448,1)-\\varphi (1149,1)=\\,\\,\\,1724\\,\\,\\,\\,\\,\\,\\,\\,-575=1149}\n\n\n\n\n\nφ\n(\n\n\n\n689\n,\n2\n)\n=\nφ\n(\n\n\n\n689\n,\n1\n)\n−\nφ\n(\n229\n,\n1\n)\n=\n345\n−\n\n\n\n115\n\n\n{\\displaystyle \\varphi (\\,\\,\\,689,2)=\\varphi (\\,\\,\\,689,1)-\\varphi (229,1)=345-\\,\\,\\,115}\n\n\n\n\n\n\n=\n\n\n{\\displaystyle =}\n\n\n\n\n\n\n230\n\n\n{\\displaystyle 230}\n\n\n\n\n\n\n\n\n\nφ\n(\n492\n,\n3\n)\n=\nφ\n(\n492\n,\n2\n)\n−\nφ\n(\n\n\n\n98\n,\n2\n)\n=\n164\n−\n33\n\n\n{\\displaystyle \\varphi (492,3)=\\varphi (492,2)-\\varphi (\\,\\,\\,98,2)=164-33}\n\n\n\n\n\n\n=\n\n\n{\\displaystyle =}\n\n\n\n\n\n\n131\n\n\n{\\displaystyle 131}\n\n\n\n\n\n\n\n\nφ\n(\n492\n,\n2\n)\n=\nφ\n(\n491\n,\n1\n)\n−\nφ\n(\n164\n,\n1\n)\n=\n246\n−\n82\n\n\n{\\displaystyle \\varphi (492,2)=\\varphi (491,1)-\\varphi (164,1)=246-82}\n\n\n\n\n\n\n=\n\n\n{\\displaystyle =}\n\n\n\n\n\n\n164\n\n\n{\\displaystyle 164}\n\n\n\n\n\n\n\n\nφ\n(\n98\n,\n2\n)\n=\nφ\n(\n98\n,\n1\n)\n−\nφ\n(\n32\n,\n1\n)\n=\n49\n−\n16\n\n\n{\\displaystyle \\varphi (98,2)=\\varphi (98,1)-\\varphi (32,1)=49-16}\n\n\n\n\n\n\n=\n\n\n{\\displaystyle =}\n\n\n\n\n\n\n33\n\n\n{\\displaystyle 33}\n\n\n\n\n\n"}}
	{"gt_parse": {"text_sequance": "\n\n\n\n\n\n\nφ\n(\n313\n,\n4\n)\n=\nφ\n(\n313\n,\n3\n)\n−\nφ\n(\n\n\n\n44\n,\n3\n)\n=\n\n\n\n\n\n\n84\n\n\n\n\n\n\n\n−\n12\n=\n\n\n\n72\n\n\n{\\displaystyle \\varphi (313,4)=\\varphi (313,3)-\\varphi (\\,\\,\\,44,3)=\\,\\,\\,\\,\\,\\,84\\,\\,\\,\\,\\,\\,\\,-12=\\,\\,\\,72}\n\n \n\n\n\n\nφ\n(\n313\n,\n3\n)\n=\nφ\n(\n313\n,\n2\n)\n−\nφ\n(\n\n\n\n62\n,\n2\n)\n=\n\n\n\n105\n\n\n\n\n\n\n\n−\n21\n=\n\n\n\n84\n\n\n{\\displaystyle \\varphi (313,3)=\\varphi (313,2)-\\varphi (\\,\\,\\,62,2)=\\,\\,\\,105\\,\\,\\,\\,\\,\\,\\,-21=\\,\\,\\,84}\n\n \n\n\n\n\nφ\n(\n313\n,\n2\n)\n=\nφ\n(\n313\n,\n1\n)\n−\nφ\n(\n104\n,\n1\n)\n=\n\n\n\n157\n\n\n\n\n\n\n\n−\n52\n=\n105\n\n\n{\\displaystyle \\varphi (313,2)=\\varphi (313,1)-\\varphi (104,1)=\\,\\,\\,157\\,\\,\\,\\,\\,\\,\\,-52=105}\n\n \n\n\n\n\nφ\n(\n\n\n\n62\n,\n2\n)\n=\nφ\n(\n62\n,\n1\n)\n−\nφ\n(\n20\n,\n1\n)\n=\n31\n−\n\n\n\n10\n\n\n{\\displaystyle \\varphi (\\,\\,\\,62,2)=\\varphi (62,1)-\\varphi (20,1)=31-\\,\\,\\,10}\n\n \n\n\n\n\n\n\n\n=\n\n\n{\\displaystyle =}\n\n\n\n\n\n\n\n\n\n21\n\n\n{\\displaystyle 21}\n\n\n\n\n\n\n\n\n\n\n\n\n\nφ\n(\n\n\n\n44\n,\n3\n)\n=\nφ\n(\n44\n,\n2\n)\n−\nφ\n(\n\n\n\n8\n,\n2\n)\n=\n15\n−\n\n\n\n\n\n\n3\n\n\n{\\displaystyle \\varphi (\\,\\,\\,44,3)=\\varphi (44,2)-\\varphi (\\,\\,\\,8,2)=15-\\,\\,\\,\\,\\,\\,3}\n\n \n\n\n\n\nφ\n(\n\n\n\n44\n,\n2\n)\n=\nφ\n(\n44\n,\n1\n)\n−\nφ\n(\n12\n,\n1\n)\n=\n22\n−\n\n\n\n\n\n\n7\n\n\n{\\displaystyle \\varphi (\\,\\,\\,44,2)=\\varphi (44,1)-\\varphi (12,1)=22-\\,\\,\\,\\,\\,\\,7}\n\n \n\n\n\n\n\n\n\n=\n\n\n{\\displaystyle =}\n\n\n\n\n\n\n=\n\n\n{\\displaystyle =}\n\n\n\n\n\n\n\n\n\n12\n\n\n{\\displaystyle 12}\n\n\n\n\n\n\n15\n\n\n{\\displaystyle 15}\n\n\n\n\n\n\n\n\n\n\n\n\n\nφ\n(\n265\n,\n5\n)\n=\nφ\n(\n265\n,\n4\n)\n−\nφ\n(\n\n\n\n24\n,\n4\n)\n=\n\n\n\n\n\n\n61\n\n\n\n\n\n\n\n−\n\n\n\n6\n=\n\n\n\n55\n\n\n{\\displaystyle \\varphi (265,5)=\\varphi (265,4)-\\varphi (\\,\\,\\,24,4)=\\,\\,\\,\\,\\,\\,61\\,\\,\\,\\,\\,\\,\\,-\\,\\,\\,6=\\,\\,\\,55}\n\n \n\n\n\n\nφ\n(\n265\n,\n4\n)\n=\nφ\n(\n265\n,\n3\n)\n−\nφ\n(\n\n\n\n37\n,\n3\n)\n=\n\n\n\n\n\n\n71\n\n\n\n\n\n\n\n−\n10\n=\n\n\n\n61\n\n\n{\\displaystyle \\varphi (265,4)=\\varphi (265,3)-\\varphi (\\,\\,\\,37,3)=\\,\\,\\,\\,\\,\\,71\\,\\,\\,\\,\\,\\,\\,-10=\\,\\,\\,61}\n\n \n\n\n\n\nφ\n(\n265\n,\n3\n)\n=\nφ\n(\n265\n,\n2\n)\n−\nφ\n(\n\n\n\n53\n,\n2\n)\n=\n\n\n\n\n\n\n89\n\n\n\n\n\n\n\n−\n18\n=\n\n\n\n71\n\n\n{\\displaystyle \\varphi (265,3)=\\varphi (265,2)-\\varphi (\\,\\,\\,53,2)=\\,\\,\\,\\,\\,\\,89\\,\\,\\,\\,\\,\\,\\,-18=\\,\\,\\,71}\n\n \n\n\n\n\nφ\n(\n265\n,\n2\n)\n=\nφ\n(\n265\n,\n1\n)\n−\nφ\n(\n\n\n\n88\n,\n1\n)\n=\n\n\n\n133\n\n\n\n\n\n\n\n−\n44\n=\n\n\n\n89\n\n\n{\\displaystyle \\varphi (265,2)=\\varphi (265,1)-\\varphi (\\,\\,\\,88,1)=\\,\\,\\,133\\,\\,\\,\\,\\,\\,\\,-44=\\,\\,\\,89}\n\n \n\n\n\n\nφ\n(\n\n\n\n53\n,\n2\n)\n=\nφ\n(\n53\n,\n1\n)\n−\nφ\n(\n17\n,\n1\n)\n=\n27\n−\n\n\n\n\n\n\n9\n\n\n{\\displaystyle \\varphi (\\,\\,\\,53,2)=\\varphi (53,1)-\\varphi (17,1)=27-\\,\\,\\,\\,\\,\\,9}\n\n \n\n\n\n\n\n\n\n=\n\n\n{\\displaystyle =}\n\n\n\n\n\n\n\n\n\n18\n\n\n{\\displaystyle 18}\n\n\n\n\n\n\n\n\n\n\n\n\n\nφ\n(\n\n\n\n37\n,\n3\n)\n=\nφ\n(\n37\n,\n2\n)\n−\nφ\n(\n\n\n\n7\n,\n2\n)\n=\n13\n−\n\n\n\n\n\n\n3\n\n\n{\\displaystyle \\varphi (\\,\\,\\,37,3)=\\varphi (37,2)-\\varphi (\\,\\,\\,7,2)=13-\\,\\,\\,\\,\\,\\,3}\n\n \n\n\n\n\nφ\n(\n\n\n\n37\n,\n2\n)\n=\nφ\n(\n37\n,\n1\n)\n−\nφ\n(\n14\n,\n1\n)\n=\n19\n−\n\n\n\n\n\n\n6\n\n\n{\\displaystyle \\varphi (\\,\\,\\,37,2)=\\varphi (37,1)-\\varphi (14,1)=19-\\,\\,\\,\\,\\,\\,6}\n\n \n\n\n\n\n\n\n\n=\n\n\n{\\displaystyle =}\n\n\n\n\n\n\n=\n\n\n{\\displaystyle =}\n\n\n\n\n\n\n\n\n\n10\n\n\n{\\displaystyle 10}\n\n\n\n\n\n\n13\n\n\n{\\displaystyle 13}\n\n\n\n\n\n\n\n\n\n\n\n\n\nφ\n(\n202\n,\n6\n)\n=\nφ\n(\n202\n,\n5\n)\n−\nφ\n(\n\n\n\n15\n,\n5\n)\n=\n\n\n\n\n\n\n43\n\n\n\n\n\n\n\n−\n\n\n\n2\n=\n\n\n\n41\n\n\n{\\displaystyle \\varphi (202,6)=\\varphi (202,5)-\\varphi (\\,\\,\\,15,5)=\\,\\,\\,\\,\\,\\,43\\,\\,\\,\\,\\,\\,\\,-\\,\\,\\,2=\\,\\,\\,41}\n\n \n\n\n\n\nφ\n(\n202\n,\n5\n)\n=\nφ\n(\n202\n,\n4\n)\n−\nφ\n(\n\n\n\n18\n,\n4\n)\n=\n\n\n\n\n\n\n47\n\n\n\n\n\n\n\n−\n\n\n\n4\n=\n\n\n\n43\n\n\n{\\displaystyle \\varphi (202,5)=\\varphi (202,4)-\\varphi (\\,\\,\\,18,4)=\\,\\,\\,\\,\\,\\,47\\,\\,\\,\\,\\,\\,\\,-\\,\\,\\,4=\\,\\,\\,43}\n\n \n\n\n\n\nφ\n(\n202\n,\n4\n)\n=\nφ\n(\n202\n,\n3\n)\n−\nφ\n(\n\n\n\n28\n,\n3\n)\n=\n\n\n\n\n\n\n54\n\n\n\n\n\n\n\n−\n\n\n\n7\n=\n\n\n\n47\n\n\n{\\displaystyle \\varphi (202,4)=\\varphi (202,3)-\\varphi (\\,\\,\\,28,3)=\\,\\,\\,\\,\\,\\,54\\,\\,\\,\\,\\,\\,\\,-\\,\\,\\,7=\\,\\,\\,47}\n\n \n\n\n\n\nφ\n(\n202\n,\n3\n)\n=\nφ\n(\n202\n,\n2\n)\n−\nφ\n(\n\n\n\n40\n,\n2\n)\n=\n\n\n\n\n\n\n67\n\n\n\n\n\n\n\n−\n13\n=\n\n\n\n54\n\n\n{\\displaystyle \\varphi (202,3)=\\varphi (202,2)-\\varphi (\\,\\,\\,40,2)=\\,\\,\\,\\,\\,\\,67\\,\\,\\,\\,\\,\\,\\,-13=\\,\\,\\,54}\n\n \n\n\n\n\nφ\n(\n202\n,\n2\n)\n=\nφ\n(\n202\n,\n1\n)\n−\nφ\n(\n\n\n\n67\n,\n1\n)\n=\n\n\n\n101\n\n\n\n\n\n\n\n−\n34\n=\n\n\n\n67\n\n\n{\\displaystyle \\varphi (202,2)=\\varphi (202,1)-\\varphi (\\,\\,\\,67,1)=\\,\\,\\,101\\,\\,\\,\\,\\,\\,\\,-34=\\,\\,\\,67}\n\n \n\n\n\n\n\n\n\n\n\n\n\nφ\n(\n181\n,\n7\n)\n=\nφ\n(\n181\n,\n6\n)\n−\nφ\n(\n\n\n\n10\n,\n6\n)\n=\n\n\n\n\n\n\n37\n\n\n\n\n\n\n\n−\n\n\n\n1\n=\n\n\n\n36\n\n\n{\\displaystyle \\varphi (181,7)=\\varphi (181,6)-\\varphi (\\,\\,\\,10,6)=\\,\\,\\,\\,\\,\\,37\\,\\,\\,\\,\\,\\,\\,-\\,\\,\\,1=\\,\\,\\,36}\n\n \n\n\n\n\nφ\n(\n181\n,\n6\n)\n=\nφ\n(\n181\n,\n5\n)\n−\nφ\n(\n\n\n\n13\n,\n5\n)\n=\n\n\n\n\n\n\n39\n\n\n\n\n\n\n\n−\n\n\n\n2\n=\n\n\n\n37\n\n\n{\\displaystyle \\varphi (181,6)=\\varphi (181,5)-\\varphi (\\,\\,\\,13,5)=\\,\\,\\,\\,\\,\\,39\\,\\,\\,\\,\\,\\,\\,-\\,\\,\\,2=\\,\\,\\,37}\n\n \n\n\n\n\nφ\n(\n181\n,\n5\n)\n=\nφ\n(\n181\n,\n4\n)\n−\nφ\n(\n\n\n\n16\n,\n4\n)\n=\n\n\n\n\n\n\n42\n\n\n\n\n\n\n\n−\n\n\n\n3\n=\n\n\n\n39\n\n\n{\\displaystyle \\varphi (181,5)=\\varphi (181,4)-\\varphi (\\,\\,\\,16,4)=\\,\\,\\,\\,\\,\\,42\\,\\,\\,\\,\\,\\,\\,-\\,\\,\\,3=\\,\\,\\,39}\n\n \n\n\n\n\nφ\n(\n181\n,\n4\n)\n=\nφ\n(\n181\n,\n3\n)\n−\nφ\n(\n\n\n\n25\n,\n3\n)\n=\n\n\n\n\n\n\n49\n\n\n\n\n\n\n\n−\n\n\n\n7\n=\n\n\n\n42\n\n\n{\\displaystyle \\varphi (181,4)=\\varphi (181,3)-\\varphi (\\,\\,\\,25,3)=\\,\\,\\,\\,\\,\\,49\\,\\,\\,\\,\\,\\,\\,-\\,\\,\\,7=\\,\\,\\,42}\n\n \n\n\n\n\nφ\n(\n181\n,\n3\n)\n=\nφ\n(\n181\n,\n2\n)\n−\nφ\n(\n\n\n\n36\n,\n2\n)\n=\n\n\n\n\n\n\n61\n\n\n\n\n\n\n\n−\n12\n=\n\n\n\n49\n\n\n{\\displaystyle \\varphi (181,3)=\\varphi (181,2)-\\varphi (\\,\\,\\,36,2)=\\,\\,\\,\\,\\,\\,61\\,\\,\\,\\,\\,\\,\\,-12=\\,\\,\\,49}\n\n \n\n\n\n\nφ\n(\n181\n,\n2\n)\n=\nφ\n(\n181\n,\n1\n)\n−\nφ\n(\n\n\n\n50\n,\n1\n)\n=\n\n\n\n\n\n\n91\n\n\n\n\n\n\n\n−\n30\n=\n\n\n\n61\n\n\n{\\displaystyle \\varphi (181,2)=\\varphi (181,1)-\\varphi (\\,\\,\\,50,1)=\\,\\,\\,\\,\\,\\,91\\,\\,\\,\\,\\,\\,\\,-30=\\,\\,\\,61}\n\n \n\n\n\n\nφ\n(\n\n\n\n36\n,\n2\n)\n=\nφ\n(\n36\n,\n1\n)\n−\nφ\n(\n12\n,\n1\n)\n=\n18\n−\n\n\n\n\n\n\n6\n\n\n{\\displaystyle \\varphi (\\,\\,\\,36,2)=\\varphi (36,1)-\\varphi (12,1)=18-\\,\\,\\,\\,\\,\\,6}\n\n \n\n\n\n\n\n\n\n=\n\n\n{\\displaystyle =}\n\n\n\n\n\n\n\n\n\n12\n\n\n{\\displaystyle 12}\n\n\n\n\n\n\n\n\n\n\n\n\n\nφ\n(\n\n\n\n25\n,\n3\n)\n=\nφ\n(\n25\n,\n2\n)\n−\nφ\n(\n\n\n\n5\n,\n2\n)\n=\n\n\n\n9\n−\n\n\n\n\n\n\n2\n\n\n{\\displaystyle \\varphi (\\,\\,\\,25,3)=\\varphi (25,2)-\\varphi (\\,\\,\\,5,2)=\\,\\,\\,9-\\,\\,\\,\\,\\,\\,2}\n\n \n\n\n\n\nφ\n(\n\n\n\n25\n,\n2\n)\n=\nφ\n(\n25\n,\n1\n)\n−\nφ\n(\n\n\n\n8\n,\n1\n)\n=\n13\n−\n\n\n\n\n\n\n4\n\n\n{\\displaystyle \\varphi (\\,\\,\\,25,2)=\\varphi (25,1)-\\varphi (\\,\\,\\,8,1)=13-\\,\\,\\,\\,\\,\\,4}\n\n \n\n\n\n\n\n\n\n=\n\n\n{\\displaystyle =}\n\n\n\n\n\n\n=\n\n\n{\\displaystyle =}\n\n\n\n\n\n\n\n\n\n8\n\n\n{\\displaystyle 8}\n\n\n\n\n\n\n9\n\n\n{\\displaystyle 9}\n\n\n\n\n\n\n\n\n\n\n\n\n\nφ\n(\n149\n,\n8\n)\n=\nφ\n(\n149\n,\n7\n)\n−\nφ\n(\n\n\n\n\n\n\n7\n,\n7\n)\n=\n\n\n\n\n\n\n29\n\n\n\n\n\n\n\n−\n\n\n\n1\n=\n\n\n\n28\n\n\n{\\displaystyle \\varphi (149,8)=\\varphi (149,7)-\\varphi (\\,\\,\\,\\,\\,\\,7,7)=\\,\\,\\,\\,\\,\\,29\\,\\,\\,\\,\\,\\,\\,-\\,\\,\\,1=\\,\\,\\,28}\n\n \n\n\n\n\nφ\n(\n149\n,\n7\n)\n=\nφ\n(\n149\n,\n6\n)\n−\nφ\n(\n\n\n\n\n\n\n8\n,\n6\n)\n=\n\n\n\n\n\n\n30\n\n\n\n\n\n\n\n−\n\n\n\n1\n=\n\n\n\n29\n\n\n{\\displaystyle \\varphi (149,7)=\\varphi (149,6)-\\varphi (\\,\\,\\,\\,\\,\\,8,6)=\\,\\,\\,\\,\\,\\,30\\,\\,\\,\\,\\,\\,\\,-\\,\\,\\,1=\\,\\,\\,29}\n\n \n\n\n\n\nφ\n(\n149\n,\n6\n)\n=\nφ\n(\n149\n,\n5\n)\n−\nφ\n(\n\n\n\n11\n,\n5\n)\n=\n\n\n\n\n\n\n31\n\n\n\n\n\n\n\n−\n\n\n\n1\n=\n\n\n\n30\n\n\n{\\displaystyle \\varphi (149,6)=\\varphi (149,5)-\\varphi (\\,\\,\\,11,5)=\\,\\,\\,\\,\\,\\,31\\,\\,\\,\\,\\,\\,\\,-\\,\\,\\,1=\\,\\,\\,30}\n\n \n\n\n\n\nφ\n(\n149\n,\n5\n)\n=\nφ\n(\n149\n,\n4\n)\n−\nφ\n(\n\n\n\n13\n,\n4\n)\n=\n\n\n\n\n\n\n34\n\n\n\n\n\n\n\n−\n\n\n\n3\n=\n\n\n\n31\n\n\n{\\displaystyle \\varphi (149,5)=\\varphi (149,4)-\\varphi (\\,\\,\\,13,4)=\\,\\,\\,\\,\\,\\,34\\,\\,\\,\\,\\,\\,\\,-\\,\\,\\,3=\\,\\,\\,31}\n\n \n\n\n\n\nφ\n(\n149\n,\n4\n)\n=\nφ\n(\n149\n,\n3\n)\n−\nφ\n(\n\n\n\n21\n,\n3\n)\n=\n\n\n\n\n\n\n40\n\n\n\n\n\n\n\n−\n\n\n\n6\n=\n\n\n\n34\n\n\n{\\displaystyle \\varphi (149,4)=\\varphi (149,3)-\\varphi (\\,\\,\\,21,3)=\\,\\,\\,\\,\\,\\,40\\,\\,\\,\\,\\,\\,\\,-\\,\\,\\,6=\\,\\,\\,34}\n\n \n\n\n\n\nφ\n(\n149\n,\n3\n)\n=\nφ\n(\n149\n,\n2\n)\n−\nφ\n(\n\n\n\n29\n,\n2\n)\n=\n\n\n\n\n\n\n50\n\n\n\n\n\n\n\n−\n10\n=\n\n\n\n40\n\n\n{\\displaystyle \\varphi (149,3)=\\varphi (149,2)-\\varphi (\\,\\,\\,29,2)=\\,\\,\\,\\,\\,\\,50\\,\\,\\,\\,\\,\\,\\,-10=\\,\\,\\,40}\n\n \n\n\n\n\nφ\n(\n149\n,\n2\n)\n=\nφ\n(\n149\n,\n1\n)\n−\nφ\n(\n\n\n\n49\n,\n1\n)\n=\n\n\n\n\n\n\n75\n\n\n\n\n\n\n\n−\n25\n=\n\n\n\n50\n\n\n{\\displaystyle \\varphi (149,2)=\\varphi (149,1)-\\varphi (\\,\\,\\,49,1)=\\,\\,\\,\\,\\,\\,75\\,\\,\\,\\,\\,\\,\\,-25=\\,\\,\\,50}\n\n \n\n\n\n\nφ\n(\n\n\n\n29\n,\n2\n)\n=\nφ\n(\n29\n,\n1\n)\n−\nφ\n(\n\n\n\n9\n,\n1\n)\n=\n15\n−\n\n\n\n\n\n\n5\n\n\n{\\displaystyle \\varphi (\\,\\,\\,29,2)=\\varphi (29,1)-\\varphi (\\,\\,\\,9,1)=15-\\,\\,\\,\\,\\,\\,5}\n\n \n\n\n\n\n\n\n\n=\n\n\n{\\displaystyle =}\n\n\n\n\n\n\n\n\n\n10\n\n\n{\\displaystyle 10}\n\n\n\n\n\n\n\n"}}
	{"gt_parse": {"text_sequance": "\n\n\n\n\n\n\nφ\n(\n3225\n,\n10\n)\n=\nφ\n(\n3225\n,\n9\n)\n−\nφ\n(\n\n\n\n111\n,\n9\n)\n=\n\n\n\n\n\n\n521\n\n\n\n\n\n\n\n−\n21\n=\n\n\n\n500\n\n\n{\\displaystyle \\varphi (3225,10)=\\varphi (3225,9)-\\varphi (\\,\\,\\,111,9)=\\,\\,\\,\\,\\,\\,521\\,\\,\\,\\,\\,\\,\\,-21=\\,\\,\\,500}\n\n \n\n\n\n\nφ\n(\n3225\n,\n\n\n\n9\n)\n=\nφ\n(\n3225\n,\n8\n)\n−\nφ\n(\n\n\n\n140\n,\n8\n)\n=\n\n\n\n\n\n\n548\n\n\n\n\n\n\n\n−\n27\n=\n\n\n\n521\n\n\n{\\displaystyle \\varphi (3225,\\,\\,\\,9)=\\varphi (3225,8)-\\varphi (\\,\\,\\,140,8)=\\,\\,\\,\\,\\,\\,548\\,\\,\\,\\,\\,\\,\\,-27=\\,\\,\\,521}\n\n \n\n\n\n\nφ\n(\n3225\n,\n\n\n\n8\n)\n=\nφ\n(\n3225\n,\n7\n)\n−\nφ\n(\n\n\n\n169\n,\n7\n)\n=\n\n\n\n\n\n\n581\n\n\n\n\n\n\n\n−\n33\n=\n\n\n\n548\n\n\n{\\displaystyle \\varphi (3225,\\,\\,\\,8)=\\varphi (3225,7)-\\varphi (\\,\\,\\,169,7)=\\,\\,\\,\\,\\,\\,581\\,\\,\\,\\,\\,\\,\\,-33=\\,\\,\\,548}\n\n \n\n\n\n\nφ\n(\n3225\n,\n\n\n\n7\n)\n=\nφ\n(\n3225\n,\n6\n)\n−\nφ\n(\n\n\n\n189\n,\n6\n)\n=\n\n\n\n\n\n\n618\n\n\n\n\n\n\n\n−\n37\n=\n\n\n\n581\n\n\n{\\displaystyle \\varphi (3225,\\,\\,\\,7)=\\varphi (3225,6)-\\varphi (\\,\\,\\,189,6)=\\,\\,\\,\\,\\,\\,618\\,\\,\\,\\,\\,\\,\\,-37=\\,\\,\\,581}\n\n \n\n\n\n\nφ\n(\n3225\n,\n\n\n\n6\n)\n=\nφ\n(\n3225\n,\n5\n)\n−\nφ\n(\n\n\n\n248\n,\n5\n)\n=\n\n\n\n\n\n\n670\n\n\n\n\n\n\n\n−\n52\n=\n\n\n\n618\n\n\n{\\displaystyle \\varphi (3225,\\,\\,\\,6)=\\varphi (3225,5)-\\varphi (\\,\\,\\,248,5)=\\,\\,\\,\\,\\,\\,670\\,\\,\\,\\,\\,\\,\\,-52=\\,\\,\\,618}\n\n \n\n\n\n\nφ\n(\n3225\n,\n\n\n\n5\n)\n=\nφ\n(\n3225\n,\n4\n)\n−\nφ\n(\n\n\n\n293\n,\n4\n)\n=\n\n\n\n\n\n\n738\n\n\n\n\n\n\n\n−\n68\n=\n\n\n\n670\n\n\n{\\displaystyle \\varphi (3225,\\,\\,\\,5)=\\varphi (3225,4)-\\varphi (\\,\\,\\,293,4)=\\,\\,\\,\\,\\,\\,738\\,\\,\\,\\,\\,\\,\\,-68=\\,\\,\\,670}\n\n \n\n\n\n\nφ\n(\n3225\n,\n\n\n\n4\n)\n=\nφ\n(\n3225\n,\n3\n)\n−\nφ\n(\n\n\n\n460\n,\n3\n)\n=\n\n\n\n\n\n\n860\n\n\n\n\n−\n122\n=\n\n\n\n738\n\n\n{\\displaystyle \\varphi (3225,\\,\\,\\,4)=\\varphi (3225,3)-\\varphi (\\,\\,\\,460,3)=\\,\\,\\,\\,\\,\\,860\\,\\,\\,\\,-122=\\,\\,\\,738}\n\n \n\n\n\n\nφ\n(\n3225\n,\n\n\n\n3\n)\n=\nφ\n(\n3225\n,\n2\n)\n−\nφ\n(\n\n\n\n645\n,\n2\n)\n=\n\n\n\n1075\n\n\n\n\n−\n215\n=\n\n\n\n860\n\n\n{\\displaystyle \\varphi (3225,\\,\\,\\,3)=\\varphi (3225,2)-\\varphi (\\,\\,\\,645,2)=\\,\\,\\,1075\\,\\,\\,\\,-215=\\,\\,\\,860}\n\n \n\n\n\n\nφ\n(\n3225\n,\n\n\n\n2\n)\n=\nφ\n(\n3225\n,\n1\n)\n−\nφ\n(\n1075\n,\n1\n)\n=\n\n\n\n1613\n\n\n\n\n−\n538\n=\n1075\n\n\n{\\displaystyle \\varphi (3225,\\,\\,\\,2)=\\varphi (3225,1)-\\varphi (1075,1)=\\,\\,\\,1613\\,\\,\\,\\,-538=1075}\n\n \n\n\n\n\nφ\n(\n\n\n\n645\n,\n2\n)\n=\nφ\n(\n\n\n\n645\n,\n1\n)\n−\nφ\n(\n215\n,\n1\n)\n=\n323\n−\n\n\n\n108\n=\n215\n\n\n{\\displaystyle \\varphi (\\,\\,\\,645,2)=\\varphi (\\,\\,\\,645,1)-\\varphi (215,1)=323-\\,\\,\\,108=215}\n\n \n\n\n \n\n \n\n\n\n\n\n\n\n\n\n\nφ\n(\n\n\n\n460\n,\n3\n)\n=\nφ\n(\n\n\n\n460\n,\n2\n)\n−\nφ\n(\n\n\n\n92\n,\n2\n)\n=\n153\n−\n\n\n\n\n\n\n31\n=\n122\n\n\n{\\displaystyle \\varphi (\\,\\,\\,460,3)=\\varphi (\\,\\,\\,460,2)-\\varphi (\\,\\,\\,92,2)=153-\\,\\,\\,\\,\\,\\,31=122}\n\n \n\n\n\n\nφ\n(\n\n\n\n460\n,\n2\n)\n=\nφ\n(\n\n\n\n460\n,\n1\n)\n−\nφ\n(\n153\n,\n1\n)\n=\n230\n−\n\n\n\n\n\n\n77\n=\n153\n\n\n{\\displaystyle \\varphi (\\,\\,\\,460,2)=\\varphi (\\,\\,\\,460,1)-\\varphi (153,1)=230-\\,\\,\\,\\,\\,\\,77=153}\n\n \n\n\n\n\nφ\n(\n\n\n\n\n\n92\n,\n2\n)\n=\nφ\n(\n\n\n\n92\n,\n1\n)\n−\nφ\n(\n30\n,\n1\n)\n=\n46\n−\n15\n\n\n{\\displaystyle \\varphi (\\,\\,\\,\\,\\,92,2)=\\varphi (\\,\\,\\,92,1)-\\varphi (30,1)=46-15}\n\n \n\n\n\n\n\n\n\n=\n\n\n{\\displaystyle =}\n\n\n\n\n\n\n\n\n\n\n\n\n31\n\n\n{\\displaystyle \\,\\,\\,31}\n\n\n\n\n\n\n\n\n\n\n\n\n\nφ\n(\n\n\n\n293\n,\n4\n)\n=\nφ\n(\n\n\n\n293\n,\n4\n)\n−\nφ\n(\n\n\n\n41\n,\n3\n)\n=\n\n\n\n79\n−\n\n\n\n\n\n\n11\n=\n\n\n\n68\n\n\n{\\displaystyle \\varphi (\\,\\,\\,293,4)=\\varphi (\\,\\,\\,293,4)-\\varphi (\\,\\,\\,41,3)=\\,\\,\\,79-\\,\\,\\,\\,\\,\\,11=\\,\\,\\,68}\n\n \n\n\n\n\nφ\n(\n\n\n\n293\n,\n3\n)\n=\nφ\n(\n\n\n\n293\n,\n2\n)\n−\nφ\n(\n\n\n\n58\n,\n2\n)\n=\n\n\n\n98\n−\n\n\n\n\n\n\n19\n=\n\n\n\n79\n\n\n{\\displaystyle \\varphi (\\,\\,\\,293,3)=\\varphi (\\,\\,\\,293,2)-\\varphi (\\,\\,\\,58,2)=\\,\\,\\,98-\\,\\,\\,\\,\\,\\,19=\\,\\,\\,79}\n\n \n\n\n\n\nφ\n(\n\n\n\n293\n,\n2\n)\n=\nφ\n(\n\n\n\n293\n,\n1\n)\n−\nφ\n(\n\n\n\n97\n,\n1\n)\n=\n147\n−\n\n\n\n\n\n\n49\n=\n\n\n\n98\n\n\n{\\displaystyle \\varphi (\\,\\,\\,293,2)=\\varphi (\\,\\,\\,293,1)-\\varphi (\\,\\,\\,97,1)=147-\\,\\,\\,\\,\\,\\,49=\\,\\,\\,98}\n\n \n\n\n\n\nφ\n(\n\n\n\n\n\n58\n,\n2\n)\n=\nφ\n(\n\n\n\n58\n,\n1\n)\n−\nφ\n(\n19\n,\n1\n)\n=\n19\n−\n10\n\n\n{\\displaystyle \\varphi (\\,\\,\\,\\,\\,58,2)=\\varphi (\\,\\,\\,58,1)-\\varphi (19,1)=19-10}\n\n \n\n\n\n\n\n\n\n=\n\n\n{\\displaystyle =}\n\n\n\n\n\n\n\n\n\n\n\n\n19\n\n\n{\\displaystyle \\,\\,\\,19}\n\n\n\n\n\n\n\n\n\n\n\n\n\nφ\n(\n\n\n\n41\n,\n3\n)\n\n\n\n=\n\n\n\nφ\n(\n41\n,\n2\n)\n−\nφ\n(\n\n\n\n8\n,\n2\n)\n=\n41\n−\n\n\n\n3\n\n\n{\\displaystyle \\varphi (\\,\\,\\,41,3)\\,\\,\\,=\\,\\,\\,\\varphi (41,2)-\\varphi (\\,\\,\\,8,2)=41-\\,\\,\\,3}\n\n \n\n\n\n\nφ\n(\n\n\n\n41\n,\n2\n)\n\n\n\n=\n\n\n\nφ\n(\n41\n,\n1\n)\n−\nφ\n(\n13\n,\n1\n)\n=\n21\n−\n\n\n\n7\n\n\n{\\displaystyle \\varphi (\\,\\,\\,41,2)\\,\\,\\,=\\,\\,\\,\\varphi (41,1)-\\varphi (13,1)=21-\\,\\,\\,7}\n\n \n\n\n\n\nφ\n(\n\n\n\n\n\n\n8\n,\n2\n)\n\n\n\n=\n\n\n\nφ\n(\n\n\n\n8\n,\n1\n)\n−\nφ\n(\n\n\n\n2\n,\n1\n)\n=\n\n\n\n4\n−\n\n\n\n1\n\n\n{\\displaystyle \\varphi (\\,\\,\\,\\,\\,\\,8,2)\\,\\,\\,=\\,\\,\\,\\varphi (\\,\\,\\,8,1)-\\varphi (\\,\\,\\,2,1)=\\,\\,\\,4-\\,\\,\\,1}\n\n \n\n\n\n\n\n\n\n=\n\n\n{\\displaystyle =}\n\n\n\n\n\n\n=\n\n\n{\\displaystyle =}\n\n\n\n\n\n\n=\n\n\n{\\displaystyle =}\n\n\n\n\n\n\n\n\n\n\n\n\n11\n\n\n{\\displaystyle \\,\\,\\,11}\n\n\n\n\n\n\n\n\n\n14\n\n\n{\\displaystyle \\,\\,\\,14}\n\n\n\n\n\n\n\n\n\n\n\n\n3\n\n\n{\\displaystyle \\,\\,\\,\\,\\,\\,3}\n\n\n\n\n\n\n\n\n\n\n\n\n\nφ\n(\n\n\n\n248\n,\n5\n)\n=\nφ\n(\n\n\n\n248\n,\n4\n)\n−\nφ\n(\n\n\n\n22\n,\n4\n)\n=\n\n\n\n57\n−\n\n\n\n\n\n\n5\n=\n52\n\n\n{\\displaystyle \\varphi (\\,\\,\\,248,5)=\\varphi (\\,\\,\\,248,4)-\\varphi (\\,\\,\\,22,4)=\\,\\,\\,57-\\,\\,\\,\\,\\,\\,5=52}\n\n \n\n\n\n\nφ\n(\n\n\n\n248\n,\n4\n)\n=\nφ\n(\n\n\n\n248\n,\n3\n)\n−\nφ\n(\n\n\n\n35\n,\n3\n)\n=\n\n\n\n66\n−\n\n\n\n\n\n\n9\n=\n57\n\n\n{\\displaystyle \\varphi (\\,\\,\\,248,4)=\\varphi (\\,\\,\\,248,3)-\\varphi (\\,\\,\\,35,3)=\\,\\,\\,66-\\,\\,\\,\\,\\,\\,9=57}\n\n \n\n\n\n\nφ\n(\n\n\n\n248\n,\n3\n)\n=\nφ\n(\n\n\n\n248\n,\n2\n)\n−\nφ\n(\n\n\n\n49\n,\n2\n)\n=\n\n\n\n83\n−\n\n\n\n17\n=\n66\n\n\n{\\displaystyle \\varphi (\\,\\,\\,248,3)=\\varphi (\\,\\,\\,248,2)-\\varphi (\\,\\,\\,49,2)=\\,\\,\\,83-\\,\\,\\,17=66}\n\n \n\n\n\n\nφ\n(\n\n\n\n248\n,\n2\n)\n=\nφ\n(\n\n\n\n248\n,\n1\n)\n−\nφ\n(\n\n\n\n82\n,\n1\n)\n=\n124\n−\n\n\n\n41\n=\n83\n\n\n{\\displaystyle \\varphi (\\,\\,\\,248,2)=\\varphi (\\,\\,\\,248,1)-\\varphi (\\,\\,\\,82,1)=124-\\,\\,\\,41=83}\n\n \n\n\n\n\nφ\n(\n\n\n\n49\n,\n2\n)\n\n\n\n=\n\n\n\nφ\n(\n49\n,\n1\n)\n−\nφ\n(\n16\n,\n1\n)\n=\n25\n−\n\n\n\n8\n\n\n{\\displaystyle \\varphi (\\,\\,\\,49,2)\\,\\,\\,=\\,\\,\\,\\varphi (49,1)-\\varphi (16,1)=25-\\,\\,\\,8}\n\n \n\n\n\n\n\n\n\n=\n\n\n{\\displaystyle =}\n\n\n\n\n\n\n\n\n\n\n\n\n17\n\n\n{\\displaystyle \\,\\,\\,17}\n\n\n\n\n\n\n\n\n\n\n\n\n\nφ\n(\n\n\n\n35\n,\n3\n)\n\n\n\n=\n\n\n\nφ\n(\n35\n,\n2\n)\n−\nφ\n(\n\n\n\n7\n,\n2\n)\n=\n12\n−\n\n\n\n3\n\n\n{\\displaystyle \\varphi (\\,\\,\\,35,3)\\,\\,\\,=\\,\\,\\,\\varphi (35,2)-\\varphi (\\,\\,\\,7,2)=12-\\,\\,\\,3}\n\n \n\n\n\n\nφ\n(\n\n\n\n35\n,\n2\n)\n\n\n\n=\n\n\n\nφ\n(\n35\n,\n1\n)\n−\nφ\n(\n11\n,\n1\n)\n=\n18\n−\n\n\n\n6\n\n\n{\\displaystyle \\varphi (\\,\\,\\,35,2)\\,\\,\\,=\\,\\,\\,\\varphi (35,1)-\\varphi (11,1)=18-\\,\\,\\,6}\n\n \n\n\n\n\nφ\n(\n\n\n\n\n\n\n7\n,\n2\n)\n\n\n\n=\n\n\n\nφ\n(\n\n\n\n7\n,\n1\n)\n−\nφ\n(\n\n\n\n2\n,\n1\n)\n=\n\n\n\n4\n−\n\n\n\n1\n\n\n{\\displaystyle \\varphi (\\,\\,\\,\\,\\,\\,7,2)\\,\\,\\,=\\,\\,\\,\\varphi (\\,\\,\\,7,1)-\\varphi (\\,\\,\\,2,1)=\\,\\,\\,4-\\,\\,\\,1}\n\n \n\n\n\n\n\n\n\n=\n\n\n{\\displaystyle =}\n\n\n\n\n\n\n=\n\n\n{\\displaystyle =}\n\n\n\n\n\n\n=\n\n\n{\\displaystyle =}\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n9\n\n\n{\\displaystyle \\,\\,\\,\\,\\,\\,9}\n\n\n\n\n\n\n\n\n\n12\n\n\n{\\displaystyle \\,\\,\\,12}\n\n\n\n\n\n\n\n\n\n\n\n\n3\n\n\n{\\displaystyle \\,\\,\\,\\,\\,\\,3}\n\n\n\n\n\n\n\n\n\n\n\n\n\nφ\n(\n\n\n\n189\n,\n6\n)\n=\nφ\n(\n\n\n\n189\n,\n5\n)\n−\nφ\n(\n\n\n\n14\n,\n5\n)\n=\n\n\n\n39\n−\n\n\n\n\n\n\n2\n=\n37\n\n\n{\\displaystyle \\varphi (\\,\\,\\,189,6)=\\varphi (\\,\\,\\,189,5)-\\varphi (\\,\\,\\,14,5)=\\,\\,\\,39-\\,\\,\\,\\,\\,\\,2=37}\n\n \n\n\n\n\nφ\n(\n\n\n\n189\n,\n5\n)\n=\nφ\n(\n\n\n\n189\n,\n4\n)\n−\nφ\n(\n\n\n\n17\n,\n4\n)\n=\n\n\n\n43\n−\n\n\n\n\n\n\n4\n=\n39\n\n\n{\\displaystyle \\varphi (\\,\\,\\,189,5)=\\varphi (\\,\\,\\,189,4)-\\varphi (\\,\\,\\,17,4)=\\,\\,\\,43-\\,\\,\\,\\,\\,\\,4=39}\n\n \n\n\n\n\nφ\n(\n\n\n\n189\n,\n4\n)\n=\nφ\n(\n\n\n\n189\n,\n3\n)\n−\nφ\n(\n\n\n\n27\n,\n3\n)\n=\n\n\n\n50\n−\n\n\n\n\n\n\n7\n=\n43\n\n\n{\\displaystyle \\varphi (\\,\\,\\,189,4)=\\varphi (\\,\\,\\,189,3)-\\varphi (\\,\\,\\,27,3)=\\,\\,\\,50-\\,\\,\\,\\,\\,\\,7=43}\n\n \n\n\n\n\nφ\n(\n\n\n\n189\n,\n3\n)\n=\nφ\n(\n\n\n\n189\n,\n2\n)\n−\nφ\n(\n\n\n\n37\n,\n2\n)\n=\n\n\n\n63\n−\n\n\n\n13\n=\n50\n\n\n{\\displaystyle \\varphi (\\,\\,\\,189,3)=\\varphi (\\,\\,\\,189,2)-\\varphi (\\,\\,\\,37,2)=\\,\\,\\,63-\\,\\,\\,13=50}\n\n \n\n\n\n\nφ\n(\n\n\n\n189\n,\n2\n)\n=\nφ\n(\n\n\n\n189\n,\n1\n)\n−\nφ\n(\n\n\n\n63\n,\n1\n)\n=\n\n\n\n95\n−\n\n\n\n32\n=\n63\n\n\n{\\displaystyle \\varphi (\\,\\,\\,189,2)=\\varphi (\\,\\,\\,189,1)-\\varphi (\\,\\,\\,63,1)=\\,\\,\\,95-\\,\\,\\,32=63}\n\n \n\n\n\n\nφ\n(\n\n\n\n37\n,\n2\n)\n\n\n\n=\n\n\n\nφ\n(\n37\n,\n1\n)\n−\nφ\n(\n12\n,\n1\n)\n=\n19\n−\n\n\n\n6\n\n\n{\\displaystyle \\varphi (\\,\\,\\,37,2)\\,\\,\\,=\\,\\,\\,\\varphi (37,1)-\\varphi (12,1)=19-\\,\\,\\,6}\n\n \n\n\n\n\n\n\n\n=\n\n\n{\\displaystyle =}\n\n\n\n\n\n\n\n\n\n\n\n\n13\n\n\n{\\displaystyle \\,\\,\\,13}\n\n\n\n\n\n\n\n"}}
	{"gt_parse": {"text_sequance": "\n\n\n\n\n\n\nφ\n(\n\n\n\n27\n,\n3\n)\n=\nφ\n(\n\n\n\n27\n,\n2\n)\n−\nφ\n(\n\n\n\n\n\n\n5\n,\n2\n)\n=\n\n\n\n\n\n\n9\n\n\n\n\n\n\n\n−\n\n\n\n2\n=\n\n\n\n\n\n\n7\n\n\n{\\displaystyle \\varphi (\\,\\,\\,27,3)=\\varphi (\\,\\,\\,27,2)-\\varphi (\\,\\,\\,\\,\\,\\,5,2)=\\,\\,\\,\\,\\,\\,9\\,\\,\\,\\,\\,\\,\\,-\\,\\,\\,2=\\,\\,\\,\\,\\,\\,7}\n\n \n\n\n\n\nφ\n(\n\n\n\n27\n,\n2\n)\n=\nφ\n(\n\n\n\n27\n,\n1\n)\n−\nφ\n(\n\n\n\n\n\n\n9\n,\n1\n)\n=\n\n\n\n14\n\n\n\n\n\n\n\n−\n\n\n\n5\n=\n\n\n\n\n\n\n9\n\n\n{\\displaystyle \\varphi (\\,\\,\\,27,2)=\\varphi (\\,\\,\\,27,1)-\\varphi (\\,\\,\\,\\,\\,\\,9,1)=\\,\\,\\,14\\,\\,\\,\\,\\,\\,\\,-\\,\\,\\,5=\\,\\,\\,\\,\\,\\,9}\n\n \n\n\n\n\nφ\n(\n\n\n\n5\n,\n2\n)\n=\nφ\n(\n\n\n\n5\n,\n1\n)\n−\nφ\n(\n2\n,\n1\n)\n=\n\n\n\n\n\n\n3\n−\n\n\n\n\n\n\n1\n\n\n{\\displaystyle \\varphi (\\,\\,\\,5,2)=\\varphi (\\,\\,\\,5,1)-\\varphi (2,1)=\\,\\,\\,\\,\\,\\,3-\\,\\,\\,\\,\\,\\,1}\n\n \n\n\n\n\n\n\n\n=\n\n\n{\\displaystyle =}\n\n\n\n\n\n\n\n\n\n\n\n\n2\n\n\n{\\displaystyle \\,\\,\\,2}\n\n\n\n\n\n\n\n\n\n\n\n\n\nφ\n(\n\n\n\n17\n,\n4\n)\n=\nφ\n(\n\n\n\n17\n,\n3\n)\n−\nφ\n(\n\n\n\n\n\n\n1\n,\n3\n)\n=\n\n\n\n\n\n\n5\n\n\n\n\n\n\n\n−\n\n\n\n1\n=\n\n\n\n\n\n\n4\n\n\n{\\displaystyle \\varphi (\\,\\,\\,17,4)=\\varphi (\\,\\,\\,17,3)-\\varphi (\\,\\,\\,\\,\\,\\,1,3)=\\,\\,\\,\\,\\,\\,5\\,\\,\\,\\,\\,\\,\\,-\\,\\,\\,1=\\,\\,\\,\\,\\,\\,4}\n\n \n\n\n\n\nφ\n(\n\n\n\n17\n,\n3\n)\n=\nφ\n(\n\n\n\n17\n,\n2\n)\n−\nφ\n(\n\n\n\n\n\n\n2\n,\n2\n)\n=\n\n\n\n\n\n\n6\n\n\n\n\n\n\n\n−\n\n\n\n1\n=\n\n\n\n\n\n\n5\n\n\n{\\displaystyle \\varphi (\\,\\,\\,17,3)=\\varphi (\\,\\,\\,17,2)-\\varphi (\\,\\,\\,\\,\\,\\,2,2)=\\,\\,\\,\\,\\,\\,6\\,\\,\\,\\,\\,\\,\\,-\\,\\,\\,1=\\,\\,\\,\\,\\,\\,5}\n\n \n\n\n\n\nφ\n(\n\n\n\n17\n,\n2\n)\n=\nφ\n(\n\n\n\n17\n,\n1\n)\n−\nφ\n(\n\n\n\n\n\n\n5\n,\n1\n)\n=\n\n\n\n\n\n\n9\n\n\n\n\n\n\n\n−\n\n\n\n3\n=\n\n\n\n\n\n\n6\n\n\n{\\displaystyle \\varphi (\\,\\,\\,17,2)=\\varphi (\\,\\,\\,17,1)-\\varphi (\\,\\,\\,\\,\\,\\,5,1)=\\,\\,\\,\\,\\,\\,9\\,\\,\\,\\,\\,\\,\\,-\\,\\,\\,3=\\,\\,\\,\\,\\,\\,6}\n\n \n\n\n\n\n\n\n\n\n\n\n\nφ\n(\n169\n,\n7\n)\n=\nφ\n(\n169\n,\n6\n)\n−\nφ\n(\n\n\n\n\n\n\n9\n,\n6\n)\n=\n\n\n\n34\n\n\n\n\n\n\n\n−\n\n\n\n1\n=\n\n\n\n33\n\n\n{\\displaystyle \\varphi (169,7)=\\varphi (169,6)-\\varphi (\\,\\,\\,\\,\\,\\,9,6)=\\,\\,\\,34\\,\\,\\,\\,\\,\\,\\,-\\,\\,\\,1=\\,\\,\\,33}\n\n \n\n\n\n\nφ\n(\n169\n,\n6\n)\n=\nφ\n(\n169\n,\n5\n)\n−\nφ\n(\n\n\n\n13\n,\n5\n)\n=\n\n\n\n36\n\n\n\n\n\n\n\n−\n\n\n\n2\n=\n\n\n\n34\n\n\n{\\displaystyle \\varphi (169,6)=\\varphi (169,5)-\\varphi (\\,\\,\\,13,5)=\\,\\,\\,36\\,\\,\\,\\,\\,\\,\\,-\\,\\,\\,2=\\,\\,\\,34}\n\n \n\n\n\n\nφ\n(\n169\n,\n5\n)\n=\nφ\n(\n169\n,\n4\n)\n−\nφ\n(\n\n\n\n15\n,\n4\n)\n=\n\n\n\n39\n\n\n\n\n\n\n\n−\n\n\n\n3\n=\n\n\n\n36\n\n\n{\\displaystyle \\varphi (169,5)=\\varphi (169,4)-\\varphi (\\,\\,\\,15,4)=\\,\\,\\,39\\,\\,\\,\\,\\,\\,\\,-\\,\\,\\,3=\\,\\,\\,36}\n\n \n\n\n\n\nφ\n(\n169\n,\n4\n)\n=\nφ\n(\n169\n,\n3\n)\n−\nφ\n(\n\n\n\n24\n,\n3\n)\n=\n\n\n\n46\n\n\n\n\n\n\n\n−\n\n\n\n7\n=\n\n\n\n39\n\n\n{\\displaystyle \\varphi (169,4)=\\varphi (169,3)-\\varphi (\\,\\,\\,24,3)=\\,\\,\\,46\\,\\,\\,\\,\\,\\,\\,-\\,\\,\\,7=\\,\\,\\,39}\n\n \n\n\n\n\nφ\n(\n169\n,\n3\n)\n=\nφ\n(\n169\n,\n2\n)\n−\nφ\n(\n\n\n\n33\n,\n2\n)\n=\n\n\n\n57\n\n\n\n\n\n\n\n−\n11\n=\n\n\n\n46\n\n\n{\\displaystyle \\varphi (169,3)=\\varphi (169,2)-\\varphi (\\,\\,\\,33,2)=\\,\\,\\,57\\,\\,\\,\\,\\,\\,\\,-11=\\,\\,\\,46}\n\n \n\n\n\n\nφ\n(\n169\n,\n2\n)\n=\nφ\n(\n169\n,\n1\n)\n−\nφ\n(\n\n\n\n56\n,\n1\n)\n=\n\n\n\n85\n\n\n\n\n\n\n\n−\n28\n=\n\n\n\n57\n\n\n{\\displaystyle \\varphi (169,2)=\\varphi (169,1)-\\varphi (\\,\\,\\,56,1)=\\,\\,\\,85\\,\\,\\,\\,\\,\\,\\,-28=\\,\\,\\,57}\n\n \n\n\n\n\nφ\n(\n33\n,\n2\n)\n=\nφ\n(\n33\n,\n1\n)\n−\nφ\n(\n11\n,\n1\n)\n=\n\n\n\n17\n−\n\n\n\n\n\n\n6\n\n\n{\\displaystyle \\varphi (33,2)=\\varphi (33,1)-\\varphi (11,1)=\\,\\,\\,17-\\,\\,\\,\\,\\,\\,6}\n\n \n\n\n\n\n\n\n\n=\n\n\n{\\displaystyle =}\n\n\n\n\n\n\n\n\n\n11\n\n\n{\\displaystyle 11}\n\n\n\n\n\n\n\n\n\n\n\n\n\nφ\n(\n\n\n\n24\n,\n3\n)\n=\nφ\n(\n\n\n\n24\n,\n2\n)\n−\nφ\n(\n\n\n\n\n\n\n4\n,\n2\n)\n=\n\n\n\n\n\n\n8\n\n\n\n\n\n\n\n−\n\n\n\n1\n=\n\n\n\n\n\n\n7\n\n\n{\\displaystyle \\varphi (\\,\\,\\,24,3)=\\varphi (\\,\\,\\,24,2)-\\varphi (\\,\\,\\,\\,\\,\\,4,2)=\\,\\,\\,\\,\\,\\,8\\,\\,\\,\\,\\,\\,\\,-\\,\\,\\,1=\\,\\,\\,\\,\\,\\,7}\n\n \n\n\n\n\nφ\n(\n\n\n\n24\n,\n2\n)\n=\nφ\n(\n\n\n\n24\n,\n1\n)\n−\nφ\n(\n\n\n\n\n\n\n8\n,\n1\n)\n=\n\n\n\n12\n\n\n\n\n\n\n\n−\n\n\n\n4\n=\n\n\n\n\n\n\n8\n\n\n{\\displaystyle \\varphi (\\,\\,\\,24,2)=\\varphi (\\,\\,\\,24,1)-\\varphi (\\,\\,\\,\\,\\,\\,8,1)=\\,\\,\\,12\\,\\,\\,\\,\\,\\,\\,-\\,\\,\\,4=\\,\\,\\,\\,\\,\\,8}\n\n \n\n\n\n\n\n\n\n\n\n\n\nφ\n(\n140\n,\n8\n)\n=\nφ\n(\n140\n,\n7\n)\n−\nφ\n(\n\n\n\n\n\n\n7\n,\n7\n)\n=\n\n\n\n28\n\n\n\n\n\n\n\n−\n\n\n\n1\n=\n\n\n\n27\n\n\n{\\displaystyle \\varphi (140,8)=\\varphi (140,7)-\\varphi (\\,\\,\\,\\,\\,\\,7,7)=\\,\\,\\,28\\,\\,\\,\\,\\,\\,\\,-\\,\\,\\,1=\\,\\,\\,27}\n\n \n\n\n\n\nφ\n(\n140\n,\n7\n)\n=\nφ\n(\n140\n,\n6\n)\n−\nφ\n(\n\n\n\n\n\n\n8\n,\n6\n)\n=\n\n\n\n29\n\n\n\n\n\n\n\n−\n\n\n\n1\n=\n\n\n\n28\n\n\n{\\displaystyle \\varphi (140,7)=\\varphi (140,6)-\\varphi (\\,\\,\\,\\,\\,\\,8,6)=\\,\\,\\,29\\,\\,\\,\\,\\,\\,\\,-\\,\\,\\,1=\\,\\,\\,28}\n\n \n\n\n\n\nφ\n(\n140\n,\n6\n)\n=\nφ\n(\n140\n,\n5\n)\n−\nφ\n(\n\n\n\n10\n,\n5\n)\n=\n\n\n\n30\n\n\n\n\n\n\n\n−\n\n\n\n1\n=\n\n\n\n29\n\n\n{\\displaystyle \\varphi (140,6)=\\varphi (140,5)-\\varphi (\\,\\,\\,10,5)=\\,\\,\\,30\\,\\,\\,\\,\\,\\,\\,-\\,\\,\\,1=\\,\\,\\,29}\n\n \n\n\n\n\nφ\n(\n140\n,\n5\n)\n=\nφ\n(\n140\n,\n4\n)\n−\nφ\n(\n\n\n\n12\n,\n4\n)\n=\n\n\n\n32\n\n\n\n\n\n\n\n−\n\n\n\n2\n=\n\n\n\n30\n\n\n{\\displaystyle \\varphi (140,5)=\\varphi (140,4)-\\varphi (\\,\\,\\,12,4)=\\,\\,\\,32\\,\\,\\,\\,\\,\\,\\,-\\,\\,\\,2=\\,\\,\\,30}\n\n \n\n\n\n\nφ\n(\n140\n,\n4\n)\n=\nφ\n(\n140\n,\n3\n)\n−\nφ\n(\n\n\n\n20\n,\n3\n)\n=\n\n\n\n38\n\n\n\n\n\n\n\n−\n\n\n\n6\n=\n\n\n\n32\n\n\n{\\displaystyle \\varphi (140,4)=\\varphi (140,3)-\\varphi (\\,\\,\\,20,3)=\\,\\,\\,38\\,\\,\\,\\,\\,\\,\\,-\\,\\,\\,6=\\,\\,\\,32}\n\n \n\n\n\n\nφ\n(\n140\n,\n3\n)\n=\nφ\n(\n140\n,\n2\n)\n−\nφ\n(\n\n\n\n28\n,\n2\n)\n=\n\n\n\n47\n\n\n\n\n\n\n\n−\n\n\n\n9\n=\n\n\n\n38\n\n\n{\\displaystyle \\varphi (140,3)=\\varphi (140,2)-\\varphi (\\,\\,\\,28,2)=\\,\\,\\,47\\,\\,\\,\\,\\,\\,\\,-\\,\\,\\,9=\\,\\,\\,38}\n\n \n\n\n\n\nφ\n(\n140\n,\n2\n)\n=\nφ\n(\n140\n,\n1\n)\n−\nφ\n(\n\n\n\n46\n,\n1\n)\n=\n\n\n\n70\n\n\n\n\n\n\n\n−\n23\n=\n\n\n\n47\n\n\n{\\displaystyle \\varphi (140,2)=\\varphi (140,1)-\\varphi (\\,\\,\\,46,1)=\\,\\,\\,70\\,\\,\\,\\,\\,\\,\\,-23=\\,\\,\\,47}\n\n \n\n\n\n\nφ\n(\n\n\n\n28\n,\n2\n)\n=\nφ\n(\n\n\n\n28\n,\n1\n)\n−\nφ\n(\n\n\n\n\n\n\n9\n,\n1\n)\n=\n\n\n\n14\n\n\n\n\n\n\n\n−\n\n\n\n5\n=\n\n\n\n\n\n\n9\n\n\n{\\displaystyle \\varphi (\\,\\,\\,28,2)=\\varphi (\\,\\,\\,28,1)-\\varphi (\\,\\,\\,\\,\\,\\,9,1)=\\,\\,\\,14\\,\\,\\,\\,\\,\\,\\,-\\,\\,\\,5=\\,\\,\\,\\,\\,\\,9}\n\n \n\n\n\n\n\n\n\n\n\n\n\nφ\n(\n\n\n\n20\n,\n3\n)\n=\nφ\n(\n\n\n\n20\n,\n2\n)\n−\nφ\n(\n\n\n\n\n\n\n4\n,\n2\n)\n=\n\n\n\n\n\n\n7\n\n\n\n\n\n\n\n−\n\n\n\n1\n=\n\n\n\n\n\n\n6\n\n\n{\\displaystyle \\varphi (\\,\\,\\,20,3)=\\varphi (\\,\\,\\,20,2)-\\varphi (\\,\\,\\,\\,\\,\\,4,2)=\\,\\,\\,\\,\\,\\,7\\,\\,\\,\\,\\,\\,\\,-\\,\\,\\,1=\\,\\,\\,\\,\\,\\,6}\n\n \n\n\n\n\nφ\n(\n\n\n\n20\n,\n2\n)\n=\nφ\n(\n\n\n\n20\n,\n1\n)\n−\nφ\n(\n\n\n\n\n\n\n6\n,\n1\n)\n=\n\n\n\n10\n\n\n\n\n\n\n\n−\n\n\n\n3\n=\n\n\n\n\n\n\n7\n\n\n{\\displaystyle \\varphi (\\,\\,\\,20,2)=\\varphi (\\,\\,\\,20,1)-\\varphi (\\,\\,\\,\\,\\,\\,6,1)=\\,\\,\\,10\\,\\,\\,\\,\\,\\,\\,-\\,\\,\\,3=\\,\\,\\,\\,\\,\\,7}\n\n \n\n\n\n\nφ\n(\n\n\n\n4\n,\n2\n)\n=\nφ\n(\n\n\n\n4\n,\n1\n)\n−\nφ\n(\n\n\n\n1\n,\n1\n)\n=\n\n\n\n\n\n\n2\n−\n\n\n\n\n\n\n1\n\n\n{\\displaystyle \\varphi (\\,\\,\\,4,2)=\\varphi (\\,\\,\\,4,1)-\\varphi (\\,\\,\\,1,1)=\\,\\,\\,\\,\\,\\,2-\\,\\,\\,\\,\\,\\,1}\n\n \n\n\n\n\n\n\n\n=\n\n\n{\\displaystyle =}\n\n\n\n\n\n\n\n\n\n\n\n\n1\n\n\n{\\displaystyle \\,\\,\\,1}\n\n\n\n\n\n\n\n\n\n\n\n\n\nφ\n(\n\n\n\n12\n,\n4\n)\n=\nφ\n(\n\n\n\n12\n,\n3\n)\n−\nφ\n(\n\n\n\n\n\n\n1\n,\n3\n)\n=\n\n\n\n\n\n\n3\n\n\n\n\n\n\n\n−\n\n\n\n1\n=\n\n\n\n\n\n\n2\n\n\n{\\displaystyle \\varphi (\\,\\,\\,12,4)=\\varphi (\\,\\,\\,12,3)-\\varphi (\\,\\,\\,\\,\\,\\,1,3)=\\,\\,\\,\\,\\,\\,3\\,\\,\\,\\,\\,\\,\\,-\\,\\,\\,1=\\,\\,\\,\\,\\,\\,2}\n\n \n\n\n\n\nφ\n(\n\n\n\n12\n,\n3\n)\n=\nφ\n(\n\n\n\n12\n,\n2\n)\n−\nφ\n(\n\n\n\n\n\n\n2\n,\n2\n)\n=\n\n\n\n\n\n\n4\n\n\n\n\n\n\n\n−\n\n\n\n1\n=\n\n\n\n\n\n\n3\n\n\n{\\displaystyle \\varphi (\\,\\,\\,12,3)=\\varphi (\\,\\,\\,12,2)-\\varphi (\\,\\,\\,\\,\\,\\,2,2)=\\,\\,\\,\\,\\,\\,4\\,\\,\\,\\,\\,\\,\\,-\\,\\,\\,1=\\,\\,\\,\\,\\,\\,3}\n\n \n\n\n\n\nφ\n(\n\n\n\n12\n,\n2\n)\n=\nφ\n(\n\n\n\n12\n,\n1\n)\n−\nφ\n(\n\n\n\n\n\n\n4\n,\n1\n)\n=\n\n\n\n\n\n\n6\n\n\n\n\n\n\n\n−\n\n\n\n2\n=\n\n\n\n\n\n\n4\n\n\n{\\displaystyle \\varphi (\\,\\,\\,12,2)=\\varphi (\\,\\,\\,12,1)-\\varphi (\\,\\,\\,\\,\\,\\,4,1)=\\,\\,\\,\\,\\,\\,6\\,\\,\\,\\,\\,\\,\\,-\\,\\,\\,2=\\,\\,\\,\\,\\,\\,4}\n\n \n\n\n\n\n\n\n\n\n\n\n\nφ\n(\n111\n,\n9\n)\n=\nφ\n(\n111\n,\n8\n)\n−\nφ\n(\n\n\n\n\n\n\n4\n,\n8\n)\n=\n\n\n\n22\n\n\n\n\n\n\n\n−\n\n\n\n1\n=\n\n\n\n21\n\n\n{\\displaystyle \\varphi (111,9)=\\varphi (111,8)-\\varphi (\\,\\,\\,\\,\\,\\,4,8)=\\,\\,\\,22\\,\\,\\,\\,\\,\\,\\,-\\,\\,\\,1=\\,\\,\\,21}\n\n \n\n\n\n\nφ\n(\n111\n,\n8\n)\n=\nφ\n(\n111\n,\n7\n)\n−\nφ\n(\n\n\n\n\n\n\n5\n,\n7\n)\n=\n\n\n\n23\n\n\n\n\n\n\n\n−\n\n\n\n1\n=\n\n\n\n22\n\n\n{\\displaystyle \\varphi (111,8)=\\varphi (111,7)-\\varphi (\\,\\,\\,\\,\\,\\,5,7)=\\,\\,\\,23\\,\\,\\,\\,\\,\\,\\,-\\,\\,\\,1=\\,\\,\\,22}\n\n \n\n\n\n\nφ\n(\n111\n,\n7\n)\n=\nφ\n(\n111\n,\n6\n)\n−\nφ\n(\n\n\n\n\n\n\n6\n,\n6\n)\n=\n\n\n\n24\n\n\n\n\n\n\n\n−\n\n\n\n1\n=\n\n\n\n23\n\n\n{\\displaystyle \\varphi (111,7)=\\varphi (111,6)-\\varphi (\\,\\,\\,\\,\\,\\,6,6)=\\,\\,\\,24\\,\\,\\,\\,\\,\\,\\,-\\,\\,\\,1=\\,\\,\\,23}\n\n \n\n\n\n\nφ\n(\n111\n,\n6\n)\n=\nφ\n(\n111\n,\n5\n)\n−\nφ\n(\n\n\n\n\n\n\n8\n,\n5\n)\n=\n\n\n\n25\n\n\n\n\n\n\n\n−\n\n\n\n1\n=\n\n\n\n24\n\n\n{\\displaystyle \\varphi (111,6)=\\varphi (111,5)-\\varphi (\\,\\,\\,\\,\\,\\,8,5)=\\,\\,\\,25\\,\\,\\,\\,\\,\\,\\,-\\,\\,\\,1=\\,\\,\\,24}\n\n \n\n\n\n\nφ\n(\n111\n,\n5\n)\n=\nφ\n(\n111\n,\n4\n)\n−\nφ\n(\n\n\n\n10\n,\n4\n)\n=\n\n\n\n26\n\n\n\n\n\n\n\n−\n\n\n\n1\n=\n\n\n\n25\n\n\n{\\displaystyle \\varphi (111,5)=\\varphi (111,4)-\\varphi (\\,\\,\\,10,4)=\\,\\,\\,26\\,\\,\\,\\,\\,\\,\\,-\\,\\,\\,1=\\,\\,\\,25}\n\n \n\n\n\n\nφ\n(\n111\n,\n4\n)\n=\nφ\n(\n111\n,\n3\n)\n−\nφ\n(\n\n\n\n15\n,\n3\n)\n=\n\n\n\n30\n\n\n\n\n\n\n\n−\n\n\n\n4\n=\n\n\n\n26\n\n\n{\\displaystyle \\varphi (111,4)=\\varphi (111,3)-\\varphi (\\,\\,\\,15,3)=\\,\\,\\,30\\,\\,\\,\\,\\,\\,\\,-\\,\\,\\,4=\\,\\,\\,26}\n\n \n\n\n\n\nφ\n(\n111\n,\n3\n)\n=\nφ\n(\n111\n,\n2\n)\n−\nφ\n(\n\n\n\n22\n,\n2\n)\n=\n\n\n\n37\n\n\n\n\n\n\n\n−\n\n\n\n7\n=\n\n\n\n30\n\n\n{\\displaystyle \\varphi (111,3)=\\varphi (111,2)-\\varphi (\\,\\,\\,22,2)=\\,\\,\\,37\\,\\,\\,\\,\\,\\,\\,-\\,\\,\\,7=\\,\\,\\,30}\n\n \n\n\n\n\nφ\n(\n111\n,\n2\n)\n=\nφ\n(\n111\n,\n1\n)\n−\nφ\n(\n\n\n\n37\n,\n1\n)\n=\n\n\n\n56\n\n\n\n\n\n\n\n−\n19\n=\n\n\n\n37\n\n\n{\\displaystyle \\varphi (111,2)=\\varphi (111,1)-\\varphi (\\,\\,\\,37,1)=\\,\\,\\,56\\,\\,\\,\\,\\,\\,\\,-19=\\,\\,\\,37}\n\n \n\n\n\n\nφ\n(\n22\n,\n2\n)\n=\nφ\n(\n22\n,\n1\n)\n−\nφ\n(\n\n\n\n7\n,\n1\n)\n=\n\n\n\n11\n−\n\n\n\n\n\n\n4\n\n\n{\\displaystyle \\varphi (22,2)=\\varphi (22,1)-\\varphi (\\,\\,\\,7,1)=\\,\\,\\,11-\\,\\,\\,\\,\\,\\,4}\n\n \n\n\n\n\n\n\n\n=\n\n\n{\\displaystyle =}\n\n\n\n\n\n\n\n\n\n\n\n\n7\n\n\n{\\displaystyle \\,\\,\\,7}\n\n\n\n\n\n\n\n"}}
	{"gt_parse": {"text_sequance": "\n\n\n\n\n\n\nφ\n(\n2702\n,\n11\n)\n=\nφ\n(\n2702\n,\n10\n)\n−\nφ\n(\n\n\n\n87\n,\n10\n)\n=\n\n\n\n\n\n\n420\n\n\n\n\n\n\n\n−\n\n\n\n14\n=\n\n\n\n406\n\n\n{\\displaystyle \\varphi (2702,11)=\\varphi (2702,10)-\\varphi (\\,\\,\\,87,10)=\\,\\,\\,\\,\\,\\,420\\,\\,\\,\\,\\,\\,\\,-\\,\\,\\,14=\\,\\,\\,406}\n\n \n\n\n\n\nφ\n(\n2702\n,\n10\n)\n=\nφ\n(\n2702\n,\n\n\n\n9\n)\n−\nφ\n(\n\n\n\n93\n,\n\n\n\n9\n)\n=\n\n\n\n\n\n\n436\n\n\n\n\n\n\n\n−\n\n\n\n16\n=\n\n\n\n420\n\n\n{\\displaystyle \\varphi (2702,10)=\\varphi (2702,\\,\\,\\,9)-\\varphi (\\,\\,\\,93,\\,\\,\\,9)=\\,\\,\\,\\,\\,\\,436\\,\\,\\,\\,\\,\\,\\,-\\,\\,\\,16=\\,\\,\\,420}\n\n \n\n\n\n\nφ\n(\n2702\n,\n\n\n\n9\n)\n=\nφ\n(\n2702\n,\n\n\n\n8\n)\n−\nφ\n(\n117\n,\n\n\n\n8\n)\n=\n\n\n\n\n\n\n459\n\n\n\n\n\n\n\n−\n\n\n\n23\n=\n\n\n\n436\n\n\n{\\displaystyle \\varphi (2702,\\,\\,\\,9)=\\varphi (2702,\\,\\,\\,8)-\\varphi (117,\\,\\,\\,8)=\\,\\,\\,\\,\\,\\,459\\,\\,\\,\\,\\,\\,\\,-\\,\\,\\,23=\\,\\,\\,436}\n\n \n\n\n\n\nφ\n(\n2702\n,\n\n\n\n8\n)\n=\nφ\n(\n2702\n,\n\n\n\n7\n)\n−\nφ\n(\n142\n,\n\n\n\n7\n)\n=\n\n\n\n\n\n\n487\n\n\n\n\n\n\n\n−\n\n\n\n28\n=\n\n\n\n459\n\n\n{\\displaystyle \\varphi (2702,\\,\\,\\,8)=\\varphi (2702,\\,\\,\\,7)-\\varphi (142,\\,\\,\\,7)=\\,\\,\\,\\,\\,\\,487\\,\\,\\,\\,\\,\\,\\,-\\,\\,\\,28=\\,\\,\\,459}\n\n \n\n\n\n\nφ\n(\n2702\n,\n\n\n\n7\n)\n=\nφ\n(\n2702\n,\n\n\n\n6\n)\n−\nφ\n(\n158\n,\n\n\n\n6\n)\n=\n\n\n\n\n\n\n519\n\n\n\n\n\n\n\n−\n\n\n\n32\n=\n\n\n\n487\n\n\n{\\displaystyle \\varphi (2702,\\,\\,\\,7)=\\varphi (2702,\\,\\,\\,6)-\\varphi (158,\\,\\,\\,6)=\\,\\,\\,\\,\\,\\,519\\,\\,\\,\\,\\,\\,\\,-\\,\\,\\,32=\\,\\,\\,487}\n\n \n\n\n\n\nφ\n(\n2702\n,\n\n\n\n6\n)\n=\nφ\n(\n2702\n,\n\n\n\n5\n)\n−\nφ\n(\n207\n,\n\n\n\n5\n)\n=\n\n\n\n\n\n\n562\n\n\n\n\n\n\n\n−\n\n\n\n43\n=\n\n\n\n519\n\n\n{\\displaystyle \\varphi (2702,\\,\\,\\,6)=\\varphi (2702,\\,\\,\\,5)-\\varphi (207,\\,\\,\\,5)=\\,\\,\\,\\,\\,\\,562\\,\\,\\,\\,\\,\\,\\,-\\,\\,\\,43=\\,\\,\\,519}\n\n \n\n\n\n\nφ\n(\n2702\n,\n\n\n\n5\n)\n=\nφ\n(\n2702\n,\n\n\n\n4\n)\n−\nφ\n(\n245\n,\n\n\n\n4\n)\n=\n\n\n\n\n\n\n618\n\n\n\n\n\n\n\n−\n\n\n\n56\n=\n\n\n\n562\n\n\n{\\displaystyle \\varphi (2702,\\,\\,\\,5)=\\varphi (2702,\\,\\,\\,4)-\\varphi (245,\\,\\,\\,4)=\\,\\,\\,\\,\\,\\,618\\,\\,\\,\\,\\,\\,\\,-\\,\\,\\,56=\\,\\,\\,562}\n\n \n\n\n\n\nφ\n(\n2702\n,\n\n\n\n4\n)\n=\nφ\n(\n2702\n,\n\n\n\n3\n)\n−\nφ\n(\n386\n,\n\n\n\n3\n)\n=\n\n\n\n\n\n\n721\n\n\n\n\n\n\n\n−\n103\n=\n\n\n\n618\n\n\n{\\displaystyle \\varphi (2702,\\,\\,\\,4)=\\varphi (2702,\\,\\,\\,3)-\\varphi (386,\\,\\,\\,3)=\\,\\,\\,\\,\\,\\,721\\,\\,\\,\\,\\,\\,\\,-103=\\,\\,\\,618}\n\n \n\n\n\n\nφ\n(\n2702\n,\n\n\n\n3\n)\n=\nφ\n(\n2702\n,\n\n\n\n2\n)\n−\nφ\n(\n540\n,\n\n\n\n2\n)\n=\n\n\n\n\n\n\n901\n\n\n\n\n\n\n\n−\n180\n=\n\n\n\n721\n\n\n{\\displaystyle \\varphi (2702,\\,\\,\\,3)=\\varphi (2702,\\,\\,\\,2)-\\varphi (540,\\,\\,\\,2)=\\,\\,\\,\\,\\,\\,901\\,\\,\\,\\,\\,\\,\\,-180=\\,\\,\\,721}\n\n \n\n\n\n\nφ\n(\n2702\n,\n\n\n\n2\n)\n=\nφ\n(\n2702\n,\n\n\n\n1\n)\n−\nφ\n(\n900\n,\n\n\n\n1\n)\n=\n\n\n\n1351\n\n\n\n\n\n\n\n−\n450\n=\n\n\n\n901\n\n\n{\\displaystyle \\varphi (2702,\\,\\,\\,2)=\\varphi (2702,\\,\\,\\,1)-\\varphi (900,\\,\\,\\,1)=\\,\\,\\,1351\\,\\,\\,\\,\\,\\,\\,-450=\\,\\,\\,901}\n\n \n\n\n\n\nφ\n(\n\n\n\n540\n,\n\n\n\n2\n)\n=\nφ\n(\n540\n,\n\n\n\n1\n)\n−\nφ\n(\n180\n,\n1\n)\n=\n270\n−\n\n\n\n\n\n\n90\n\n\n{\\displaystyle \\varphi (\\,\\,\\,540,\\,\\,\\,2)=\\varphi (540,\\,\\,\\,1)-\\varphi (180,1)=270-\\,\\,\\,\\,\\,\\,90}\n\n \n\n\n\n\n\n\n\n=\n\n\n{\\displaystyle =}\n\n\n\n\n\n\n\n\n\n180\n\n\n{\\displaystyle 180}\n\n\n\n\n\n\n\n\n\n\n\n\n\nφ\n(\n386\n,\n\n\n\n3\n)\n=\nφ\n(\n386\n,\n\n\n\n2\n)\n−\nφ\n(\n\n\n\n77\n,\n2\n)\n=\n129\n−\n\n\n\n\n\n\n26\n\n\n{\\displaystyle \\varphi (386,\\,\\,\\,3)=\\varphi (386,\\,\\,\\,2)-\\varphi (\\,\\,\\,77,2)=129-\\,\\,\\,\\,\\,\\,26}\n\n \n\n\n\n\nφ\n(\n386\n,\n\n\n\n2\n)\n=\nφ\n(\n386\n,\n\n\n\n1\n)\n−\nφ\n(\n128\n,\n1\n)\n=\n193\n−\n\n\n\n\n\n\n64\n\n\n{\\displaystyle \\varphi (386,\\,\\,\\,2)=\\varphi (386,\\,\\,\\,1)-\\varphi (128,1)=193-\\,\\,\\,\\,\\,\\,64}\n\n \n\n\n\n\nφ\n(\n\n\n\n77\n,\n\n\n\n2\n)\n=\nφ\n(\n\n\n\n77\n,\n\n\n\n1\n)\n−\nφ\n(\n\n\n\n25\n,\n1\n)\n=\n\n\n\n39\n−\n\n\n\n\n\n\n13\n\n\n{\\displaystyle \\varphi (\\,\\,\\,77,\\,\\,\\,2)=\\varphi (\\,\\,\\,77,\\,\\,\\,1)-\\varphi (\\,\\,\\,25,1)=\\,\\,\\,39-\\,\\,\\,\\,\\,\\,13}\n\n \n\n\n\n\n\n\n\n=\n\n\n{\\displaystyle =}\n\n\n\n\n\n\n=\n\n\n{\\displaystyle =}\n\n\n\n\n\n\n=\n\n\n{\\displaystyle =}\n\n\n\n\n\n\n\n\n\n103\n\n\n{\\displaystyle 103}\n\n\n\n\n\n\n129\n\n\n{\\displaystyle 129}\n\n\n\n\n\n\n\n\n\n26\n\n\n{\\displaystyle \\,\\,\\,26}\n\n\n\n\n\n\n\n\n\n\n\n\n\nφ\n(\n245\n,\n\n\n\n4\n)\n=\nφ\n(\n245\n,\n\n\n\n3\n)\n−\nφ\n(\n\n\n\n35\n,\n3\n)\n=\n\n\n\n65\n−\n\n\n\n\n\n\n9\n\n\n{\\displaystyle \\varphi (245,\\,\\,\\,4)=\\varphi (245,\\,\\,\\,3)-\\varphi (\\,\\,\\,35,3)=\\,\\,\\,65-\\,\\,\\,\\,\\,\\,9}\n\n \n\n\n\n\nφ\n(\n245\n,\n\n\n\n3\n)\n=\nφ\n(\n245\n,\n\n\n\n2\n)\n−\nφ\n(\n\n\n\n49\n,\n2\n)\n=\n\n\n\n82\n−\n\n\n\n17\n\n\n{\\displaystyle \\varphi (245,\\,\\,\\,3)=\\varphi (245,\\,\\,\\,2)-\\varphi (\\,\\,\\,49,2)=\\,\\,\\,82-\\,\\,\\,17}\n\n \n\n\n\n\nφ\n(\n245\n,\n\n\n\n2\n)\n=\nφ\n(\n245\n,\n\n\n\n1\n)\n−\nφ\n(\n\n\n\n81\n,\n1\n)\n=\n123\n−\n\n\n\n41\n\n\n{\\displaystyle \\varphi (245,\\,\\,\\,2)=\\varphi (245,\\,\\,\\,1)-\\varphi (\\,\\,\\,81,1)=123-\\,\\,\\,41}\n\n \n\n\n\n\nφ\n(\n49\n,\n\n\n\n2\n)\n=\nφ\n(\n49\n,\n\n\n\n1\n)\n−\nφ\n(\n\n\n\n16\n,\n1\n)\n=\n\n\n\n25\n−\n\n\n\n\n\n\n8\n\n\n{\\displaystyle \\varphi (49,\\,\\,\\,2)=\\varphi (49,\\,\\,\\,1)-\\varphi (\\,\\,\\,16,1)=\\,\\,\\,25-\\,\\,\\,\\,\\,\\,8}\n\n \n\n\n\n\n\n\n\n=\n\n\n{\\displaystyle =}\n\n\n\n\n\n\n=\n\n\n{\\displaystyle =}\n\n\n\n\n\n\n=\n\n\n{\\displaystyle =}\n\n\n\n\n\n\n=\n\n\n{\\displaystyle =}\n\n\n\n\n\n\n\n\n\n\n\n\n56\n\n\n{\\displaystyle \\,\\,\\,56}\n\n\n\n\n\n\n\n\n\n65\n\n\n{\\displaystyle \\,\\,\\,65}\n\n\n\n\n\n\n\n\n\n82\n\n\n{\\displaystyle \\,\\,\\,82}\n\n\n\n\n\n\n\n\n\n17\n\n\n{\\displaystyle \\,\\,\\,17}\n\n\n\n\n\n\n\n\n\n\n\n\n\nφ\n(\n\n\n\n35\n,\n\n\n\n3\n)\n=\nφ\n(\n\n\n\n35\n,\n\n\n\n2\n)\n−\nφ\n(\n\n\n\n\n\n\n7\n,\n2\n)\n=\n\n\n\n12\n−\n\n\n\n\n\n\n3\n\n\n{\\displaystyle \\varphi (\\,\\,\\,35,\\,\\,\\,3)=\\varphi (\\,\\,\\,35,\\,\\,\\,2)-\\varphi (\\,\\,\\,\\,\\,\\,7,2)=\\,\\,\\,12-\\,\\,\\,\\,\\,\\,3}\n\n \n\n\n\n\nφ\n(\n\n\n\n35\n,\n\n\n\n2\n)\n=\nφ\n(\n\n\n\n35\n,\n\n\n\n1\n)\n−\nφ\n(\n\n\n\n11\n,\n1\n)\n=\n\n\n\n18\n−\n\n\n\n\n\n\n6\n\n\n{\\displaystyle \\varphi (\\,\\,\\,35,\\,\\,\\,2)=\\varphi (\\,\\,\\,35,\\,\\,\\,1)-\\varphi (\\,\\,\\,11,1)=\\,\\,\\,18-\\,\\,\\,\\,\\,\\,6}\n\n \n\n\n\n\nφ\n(\n7\n,\n\n\n\n2\n)\n=\nφ\n(\n\n\n\n7\n,\n\n\n\n1\n)\n−\nφ\n(\n\n\n\n2\n,\n1\n)\n=\n\n\n\n\n\n\n4\n−\n\n\n\n\n\n\n1\n\n\n{\\displaystyle \\varphi (7,\\,\\,\\,2)=\\varphi (\\,\\,\\,7,\\,\\,\\,1)-\\varphi (\\,\\,\\,2,1)=\\,\\,\\,\\,\\,\\,4-\\,\\,\\,\\,\\,\\,1}\n\n \n\n\n\n\n\n\n\n=\n\n\n{\\displaystyle =}\n\n\n\n\n\n\n=\n\n\n{\\displaystyle =}\n\n\n\n\n\n\n=\n\n\n{\\displaystyle =}\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n9\n\n\n{\\displaystyle \\,\\,\\,\\,\\,\\,9}\n\n\n\n\n\n\n\n\n\n12\n\n\n{\\displaystyle \\,\\,\\,12}\n\n\n\n\n\n\n\n\n\n\n\n\n3\n\n\n{\\displaystyle \\,\\,\\,\\,\\,\\,3}\n\n\n\n\n\n\n\n\n\n\n\n\n\nφ\n(\n207\n,\n\n\n\n5\n)\n=\nφ\n(\n207\n,\n\n\n\n4\n)\n−\nφ\n(\n\n\n\n18\n,\n4\n)\n=\n\n\n\n47\n−\n\n\n\n\n\n\n4\n\n\n{\\displaystyle \\varphi (207,\\,\\,\\,5)=\\varphi (207,\\,\\,\\,4)-\\varphi (\\,\\,\\,18,4)=\\,\\,\\,47-\\,\\,\\,\\,\\,\\,4}\n\n \n\n\n\n\nφ\n(\n207\n,\n\n\n\n4\n)\n=\nφ\n(\n207\n,\n\n\n\n3\n)\n−\nφ\n(\n\n\n\n29\n,\n3\n)\n=\n\n\n\n55\n−\n\n\n\n\n\n\n8\n\n\n{\\displaystyle \\varphi (207,\\,\\,\\,4)=\\varphi (207,\\,\\,\\,3)-\\varphi (\\,\\,\\,29,3)=\\,\\,\\,55-\\,\\,\\,\\,\\,\\,8}\n\n \n\n\n\n\nφ\n(\n207\n,\n\n\n\n3\n)\n=\nφ\n(\n207\n,\n\n\n\n2\n)\n−\nφ\n(\n\n\n\n41\n,\n2\n)\n=\n\n\n\n69\n−\n\n\n\n14\n\n\n{\\displaystyle \\varphi (207,\\,\\,\\,3)=\\varphi (207,\\,\\,\\,2)-\\varphi (\\,\\,\\,41,2)=\\,\\,\\,69-\\,\\,\\,14}\n\n \n\n\n\n\nφ\n(\n207\n,\n\n\n\n2\n)\n=\nφ\n(\n207\n,\n\n\n\n1\n)\n−\nφ\n(\n\n\n\n69\n,\n1\n)\n=\n104\n−\n\n\n\n35\n\n\n{\\displaystyle \\varphi (207,\\,\\,\\,2)=\\varphi (207,\\,\\,\\,1)-\\varphi (\\,\\,\\,69,1)=104-\\,\\,\\,35}\n\n \n\n\n\n\nφ\n(\n41\n,\n\n\n\n2\n)\n=\nφ\n(\n\n\n\n41\n,\n\n\n\n1\n)\n−\nφ\n(\n\n\n\n13\n,\n1\n)\n=\n\n\n\n21\n−\n\n\n\n\n\n\n7\n\n\n{\\displaystyle \\varphi (41,\\,\\,\\,2)=\\varphi (\\,\\,\\,41,\\,\\,\\,1)-\\varphi (\\,\\,\\,13,1)=\\,\\,\\,21-\\,\\,\\,\\,\\,\\,7}\n\n \n\n\n\n\n\n\n\n=\n\n\n{\\displaystyle =}\n\n\n\n\n\n\n=\n\n\n{\\displaystyle =}\n\n\n\n\n\n\n=\n\n\n{\\displaystyle =}\n\n\n\n\n\n\n=\n\n\n{\\displaystyle =}\n\n\n\n\n\n\n=\n\n\n{\\displaystyle =}\n\n\n\n\n\n\n\n\n\n\n\n\n43\n\n\n{\\displaystyle \\,\\,\\,43}\n\n\n\n\n\n\n\n\n\n47\n\n\n{\\displaystyle \\,\\,\\,47}\n\n\n\n\n\n\n\n\n\n55\n\n\n{\\displaystyle \\,\\,\\,55}\n\n\n\n\n\n\n\n\n\n69\n\n\n{\\displaystyle \\,\\,\\,69}\n\n\n\n\n\n\n\n\n\n14\n\n\n{\\displaystyle \\,\\,\\,14}\n\n\n\n\n\n\n\n\n\n\n\n\n\nφ\n(\n29\n,\n\n\n\n3\n)\n=\nφ\n(\n\n\n\n29\n,\n\n\n\n2\n)\n−\nφ\n(\n\n\n\n\n\n\n5\n,\n2\n)\n=\n\n\n\n10\n−\n\n\n\n\n\n\n2\n\n\n{\\displaystyle \\varphi (29,\\,\\,\\,3)=\\varphi (\\,\\,\\,29,\\,\\,\\,2)-\\varphi (\\,\\,\\,\\,\\,\\,5,2)=\\,\\,\\,10-\\,\\,\\,\\,\\,\\,2}\n\n \n\n\n\n\nφ\n(\n29\n,\n\n\n\n2\n)\n=\nφ\n(\n\n\n\n29\n,\n\n\n\n1\n)\n−\nφ\n(\n\n\n\n\n\n\n9\n,\n2\n)\n=\n\n\n\n15\n−\n\n\n\n\n\n\n5\n\n\n{\\displaystyle \\varphi (29,\\,\\,\\,2)=\\varphi (\\,\\,\\,29,\\,\\,\\,1)-\\varphi (\\,\\,\\,\\,\\,\\,9,2)=\\,\\,\\,15-\\,\\,\\,\\,\\,\\,5}\n\n \n\n\n\n\nφ\n(\n\n\n\n5\n,\n\n\n\n2\n)\n=\nφ\n(\n\n\n\n\n\n\n5\n,\n\n\n\n1\n)\n−\nφ\n(\n1\n,\n1\n)\n=\n\n\n\n\n\n\n3\n−\n\n\n\n\n\n\n1\n\n\n{\\displaystyle \\varphi (\\,\\,\\,5,\\,\\,\\,2)=\\varphi (\\,\\,\\,\\,\\,\\,5,\\,\\,\\,1)-\\varphi (1,1)=\\,\\,\\,\\,\\,\\,3-\\,\\,\\,\\,\\,\\,1}\n\n \n\n\n\n\n\n\n\n=\n\n\n{\\displaystyle =}\n\n\n\n\n\n\n=\n\n\n{\\displaystyle =}\n\n\n\n\n\n\n=\n\n\n{\\displaystyle =}\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n8\n\n\n{\\displaystyle \\,\\,\\,\\,\\,\\,8}\n\n\n\n\n\n\n\n\n\n10\n\n\n{\\displaystyle \\,\\,\\,10}\n\n\n\n\n\n\n\n\n\n\n\n\n2\n\n\n{\\displaystyle \\,\\,\\,\\,\\,\\,2}\n\n\n\n\n\n\n\n\n\n\n\n\n\nφ\n(\n18\n,\n\n\n\n4\n)\n=\nφ\n(\n\n\n\n18\n,\n\n\n\n3\n)\n−\nφ\n(\n\n\n\n2\n,\n3\n)\n=\n\n\n\n\n\n\n5\n−\n\n\n\n\n\n\n1\n\n\n{\\displaystyle \\varphi (18,\\,\\,\\,4)=\\varphi (\\,\\,\\,18,\\,\\,\\,3)-\\varphi (\\,\\,\\,2,3)=\\,\\,\\,\\,\\,\\,5-\\,\\,\\,\\,\\,\\,1}\n\n \n\n\n\n\nφ\n(\n18\n,\n\n\n\n3\n)\n=\nφ\n(\n\n\n\n18\n,\n\n\n\n2\n)\n−\nφ\n(\n\n\n\n3\n,\n2\n)\n=\n\n\n\n\n\n\n6\n−\n\n\n\n\n\n\n1\n\n\n{\\displaystyle \\varphi (18,\\,\\,\\,3)=\\varphi (\\,\\,\\,18,\\,\\,\\,2)-\\varphi (\\,\\,\\,3,2)=\\,\\,\\,\\,\\,\\,6-\\,\\,\\,\\,\\,\\,1}\n\n \n\n\n\n\nφ\n(\n18\n,\n\n\n\n2\n)\n=\nφ\n(\n\n\n\n18\n,\n\n\n\n1\n)\n−\nφ\n(\n\n\n\n6\n,\n1\n)\n=\n\n\n\n\n\n\n9\n−\n\n\n\n\n\n\n3\n\n\n{\\displaystyle \\varphi (18,\\,\\,\\,2)=\\varphi (\\,\\,\\,18,\\,\\,\\,1)-\\varphi (\\,\\,\\,6,1)=\\,\\,\\,\\,\\,\\,9-\\,\\,\\,\\,\\,\\,3}\n\n \n\n\n\n\n\n\n\n=\n\n\n{\\displaystyle =}\n\n\n\n\n\n\n=\n\n\n{\\displaystyle =}\n\n\n\n\n\n\n=\n\n\n{\\displaystyle =}\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n4\n\n\n{\\displaystyle \\,\\,\\,\\,\\,\\,4}\n\n\n\n\n\n\n\n\n\n\n\n\n5\n\n\n{\\displaystyle \\,\\,\\,\\,\\,\\,5}\n\n\n\n\n\n\n\n\n\n\n\n\n6\n\n\n{\\displaystyle \\,\\,\\,\\,\\,\\,6}\n\n\n\n\n\n\n\n\n\n\n\n\n\nφ\n(\n158\n,\n\n\n\n6\n)\n=\nφ\n(\n158\n,\n\n\n\n5\n)\n−\nφ\n(\n\n\n\n12\n,\n5\n)\n=\n\n\n\n33\n−\n\n\n\n\n\n\n1\n=\n\n\n\n32\n\n\n{\\displaystyle \\varphi (158,\\,\\,\\,6)=\\varphi (158,\\,\\,\\,5)-\\varphi (\\,\\,\\,12,5)=\\,\\,\\,33-\\,\\,\\,\\,\\,\\,1=\\,\\,\\,32}\n\n \n\n\n\n\nφ\n(\n158\n,\n\n\n\n5\n)\n=\nφ\n(\n158\n,\n\n\n\n4\n)\n−\nφ\n(\n\n\n\n14\n,\n4\n)\n=\n\n\n\n36\n−\n\n\n\n\n\n\n3\n=\n\n\n\n33\n\n\n{\\displaystyle \\varphi (158,\\,\\,\\,5)=\\varphi (158,\\,\\,\\,4)-\\varphi (\\,\\,\\,14,4)=\\,\\,\\,36-\\,\\,\\,\\,\\,\\,3=\\,\\,\\,33}\n\n \n\n\n\n\nφ\n(\n158\n,\n\n\n\n4\n)\n=\nφ\n(\n158\n,\n\n\n\n3\n)\n−\nφ\n(\n\n\n\n22\n,\n3\n)\n=\n\n\n\n42\n−\n\n\n\n\n\n\n6\n=\n\n\n\n36\n\n\n{\\displaystyle \\varphi (158,\\,\\,\\,4)=\\varphi (158,\\,\\,\\,3)-\\varphi (\\,\\,\\,22,3)=\\,\\,\\,42-\\,\\,\\,\\,\\,\\,6=\\,\\,\\,36}\n\n \n\n\n\n"}}
	{"gt_parse": {"text_sequance": "\n\n\n\n\n\n\nφ\n(\n158\n,\n\n\n\n3\n)\n=\nφ\n(\n158\n,\n\n\n\n2\n)\n−\nφ\n(\n\n\n\n31\n,\n2\n)\n=\n\n\n\n53\n−\n\n\n\n11\n=\n\n\n\n42\n\n\n{\\displaystyle \\varphi (158,\\,\\,\\,3)=\\varphi (158,\\,\\,\\,2)-\\varphi (\\,\\,\\,31,2)=\\,\\,\\,53-\\,\\,\\,11=\\,\\,\\,42}\n\n \n\n\n\n\nφ\n(\n158\n,\n\n\n\n2\n)\n=\nφ\n(\n158\n,\n\n\n\n1\n)\n−\nφ\n(\n\n\n\n52\n,\n1\n)\n=\n\n\n\n79\n−\n\n\n\n26\n=\n\n\n\n53\n\n\n{\\displaystyle \\varphi (158,\\,\\,\\,2)=\\varphi (158,\\,\\,\\,1)-\\varphi (\\,\\,\\,52,1)=\\,\\,\\,79-\\,\\,\\,26=\\,\\,\\,53}\n\n \n\n\n\n\nφ\n(\n\n\n\n31\n,\n\n\n\n2\n)\n=\nφ\n(\n31\n,\n\n\n\n1\n)\n−\nφ\n(\n10\n,\n1\n)\n=\n\n\n\n16\n−\n\n\n\n\n\n\n5\n\n\n{\\displaystyle \\varphi (\\,\\,\\,31,\\,\\,\\,2)=\\varphi (31,\\,\\,\\,1)-\\varphi (10,1)=\\,\\,\\,16-\\,\\,\\,\\,\\,\\,5}\n\n \n\n\n\n\n\n\n\n=\n\n\n{\\displaystyle =}\n\n\n\n\n\n\n\n\n\n\n\n\n11\n\n\n{\\displaystyle \\,\\,\\,11}\n\n\n\n\n\n\n\n\n\n\n\n\n\nφ\n(\n\n\n\n22\n,\n\n\n\n3\n)\n=\nφ\n(\n\n\n\n22\n,\n\n\n\n2\n)\n−\nφ\n(\n\n\n\n\n\n\n4\n,\n2\n)\n=\n\n\n\n\n\n\n7\n−\n\n\n\n\n\n\n1\n=\n\n\n\n\n\n\n6\n\n\n{\\displaystyle \\varphi (\\,\\,\\,22,\\,\\,\\,3)=\\varphi (\\,\\,\\,22,\\,\\,\\,2)-\\varphi (\\,\\,\\,\\,\\,\\,4,2)=\\,\\,\\,\\,\\,\\,7-\\,\\,\\,\\,\\,\\,1=\\,\\,\\,\\,\\,\\,6}\n\n \n\n\n\n\nφ\n(\n\n\n\n22\n,\n\n\n\n2\n)\n=\nφ\n(\n\n\n\n22\n,\n\n\n\n1\n)\n−\nφ\n(\n\n\n\n\n\n\n7\n,\n1\n)\n=\n\n\n\n11\n−\n\n\n\n\n\n\n4\n=\n\n\n\n\n\n\n7\n\n\n{\\displaystyle \\varphi (\\,\\,\\,22,\\,\\,\\,2)=\\varphi (\\,\\,\\,22,\\,\\,\\,1)-\\varphi (\\,\\,\\,\\,\\,\\,7,1)=\\,\\,\\,11-\\,\\,\\,\\,\\,\\,4=\\,\\,\\,\\,\\,\\,7}\n\n \n\n\n\n\nφ\n(\n4\n,\n\n\n\n2\n)\n=\nφ\n(\n\n\n\n4\n,\n\n\n\n1\n)\n−\nφ\n(\n1\n,\n1\n)\n=\n\n\n\n\n\n2\n−\n\n\n\n\n\n\n1\n\n\n{\\displaystyle \\varphi (4,\\,\\,\\,2)=\\varphi (\\,\\,\\,4,\\,\\,\\,1)-\\varphi (1,1)=\\,\\,\\,\\,\\,2-\\,\\,\\,\\,\\,\\,1}\n\n \n\n\n\n\n\n\n\n=\n\n\n{\\displaystyle =}\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n1\n\n\n{\\displaystyle \\,\\,\\,\\,\\,\\,1}\n\n\n\n\n\n\n\n\n\n\n\n\n\nφ\n(\n\n\n\n14\n,\n\n\n\n4\n)\n=\nφ\n(\n\n\n\n14\n,\n\n\n\n3\n)\n−\nφ\n(\n\n\n\n\n\n\n2\n,\n3\n)\n=\n\n\n\n\n\n\n4\n−\n\n\n\n\n\n\n1\n=\n\n\n\n\n\n\n3\n\n\n{\\displaystyle \\varphi (\\,\\,\\,14,\\,\\,\\,4)=\\varphi (\\,\\,\\,14,\\,\\,\\,3)-\\varphi (\\,\\,\\,\\,\\,\\,2,3)=\\,\\,\\,\\,\\,\\,4-\\,\\,\\,\\,\\,\\,1=\\,\\,\\,\\,\\,\\,3}\n\n \n\n\n\n\nφ\n(\n\n\n\n14\n,\n\n\n\n3\n)\n=\nφ\n(\n\n\n\n14\n,\n\n\n\n2\n)\n−\nφ\n(\n\n\n\n\n\n\n2\n,\n2\n)\n=\n\n\n\n\n\n\n5\n−\n\n\n\n\n\n\n1\n=\n\n\n\n\n\n\n4\n\n\n{\\displaystyle \\varphi (\\,\\,\\,14,\\,\\,\\,3)=\\varphi (\\,\\,\\,14,\\,\\,\\,2)-\\varphi (\\,\\,\\,\\,\\,\\,2,2)=\\,\\,\\,\\,\\,\\,5-\\,\\,\\,\\,\\,\\,1=\\,\\,\\,\\,\\,\\,4}\n\n \n\n\n\n\nφ\n(\n\n\n\n14\n,\n\n\n\n2\n)\n=\nφ\n(\n\n\n\n14\n,\n\n\n\n1\n)\n−\nφ\n(\n\n\n\n\n\n\n4\n,\n1\n)\n=\n\n\n\n\n\n\n7\n−\n\n\n\n\n\n\n2\n=\n\n\n\n\n\n\n5\n\n\n{\\displaystyle \\varphi (\\,\\,\\,14,\\,\\,\\,2)=\\varphi (\\,\\,\\,14,\\,\\,\\,1)-\\varphi (\\,\\,\\,\\,\\,\\,4,1)=\\,\\,\\,\\,\\,\\,7-\\,\\,\\,\\,\\,\\,2=\\,\\,\\,\\,\\,\\,5}\n\n \n\n\n\n\n\n\n\n\n\n\n\nφ\n(\n142\n,\n\n\n\n7\n)\n=\nφ\n(\n142\n,\n\n\n\n6\n)\n−\nφ\n(\n\n\n\n\n\n\n8\n,\n6\n)\n=\n\n\n\n29\n−\n\n\n\n\n\n\n1\n=\n\n\n\n28\n\n\n{\\displaystyle \\varphi (142,\\,\\,\\,7)=\\varphi (142,\\,\\,\\,6)-\\varphi (\\,\\,\\,\\,\\,\\,8,6)=\\,\\,\\,29-\\,\\,\\,\\,\\,\\,1=\\,\\,\\,28}\n\n \n\n\n\n\nφ\n(\n142\n,\n\n\n\n6\n)\n=\nφ\n(\n142\n,\n\n\n\n5\n)\n−\nφ\n(\n\n\n\n10\n,\n5\n)\n=\n\n\n\n30\n−\n\n\n\n\n\n\n1\n=\n\n\n\n29\n\n\n{\\displaystyle \\varphi (142,\\,\\,\\,6)=\\varphi (142,\\,\\,\\,5)-\\varphi (\\,\\,\\,10,5)=\\,\\,\\,30-\\,\\,\\,\\,\\,\\,1=\\,\\,\\,29}\n\n \n\n\n\n\nφ\n(\n142\n,\n\n\n\n5\n)\n=\nφ\n(\n142\n,\n\n\n\n4\n)\n−\nφ\n(\n\n\n\n12\n,\n4\n)\n=\n\n\n\n32\n−\n\n\n\n\n\n\n2\n=\n\n\n\n30\n\n\n{\\displaystyle \\varphi (142,\\,\\,\\,5)=\\varphi (142,\\,\\,\\,4)-\\varphi (\\,\\,\\,12,4)=\\,\\,\\,32-\\,\\,\\,\\,\\,\\,2=\\,\\,\\,30}\n\n \n\n\n\n\nφ\n(\n142\n,\n\n\n\n4\n)\n=\nφ\n(\n142\n,\n\n\n\n3\n)\n−\nφ\n(\n\n\n\n20\n,\n3\n)\n=\n\n\n\n38\n−\n\n\n\n\n\n\n6\n=\n\n\n\n32\n\n\n{\\displaystyle \\varphi (142,\\,\\,\\,4)=\\varphi (142,\\,\\,\\,3)-\\varphi (\\,\\,\\,20,3)=\\,\\,\\,38-\\,\\,\\,\\,\\,\\,6=\\,\\,\\,32}\n\n \n\n\n\n\nφ\n(\n142\n,\n\n\n\n3\n)\n=\nφ\n(\n142\n,\n\n\n\n2\n)\n−\nφ\n(\n\n\n\n28\n,\n2\n)\n=\n\n\n\n47\n−\n\n\n\n\n\n\n9\n=\n\n\n\n38\n\n\n{\\displaystyle \\varphi (142,\\,\\,\\,3)=\\varphi (142,\\,\\,\\,2)-\\varphi (\\,\\,\\,28,2)=\\,\\,\\,47-\\,\\,\\,\\,\\,\\,9=\\,\\,\\,38}\n\n \n\n\n\n\nφ\n(\n142\n,\n\n\n\n2\n)\n=\nφ\n(\n142\n,\n\n\n\n1\n)\n−\nφ\n(\n\n\n\n47\n,\n1\n)\n=\n\n\n\n71\n−\n\n\n\n24\n=\n\n\n\n47\n\n\n{\\displaystyle \\varphi (142,\\,\\,\\,2)=\\varphi (142,\\,\\,\\,1)-\\varphi (\\,\\,\\,47,1)=\\,\\,\\,71-\\,\\,\\,24=\\,\\,\\,47}\n\n \n\n\n\n\nφ\n(\n\n\n\n28\n,\n\n\n\n2\n)\n=\nφ\n(\n28\n,\n\n\n\n1\n)\n−\nφ\n(\n9\n,\n1\n)\n=\n\n\n\n14\n−\n\n\n\n\n\n\n5\n\n\n{\\displaystyle \\varphi (\\,\\,\\,28,\\,\\,\\,2)=\\varphi (28,\\,\\,\\,1)-\\varphi (9,1)=\\,\\,\\,14-\\,\\,\\,\\,\\,\\,5}\n\n \n\n\n\n\n\n\n\n=\n\n\n{\\displaystyle =}\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n9\n\n\n{\\displaystyle \\,\\,\\,\\,\\,\\,9}\n\n\n\n\n\n\n\n\n\n\n\n\n\nφ\n(\n\n\n\n20\n,\n\n\n\n3\n)\n=\nφ\n(\n\n\n\n20\n,\n\n\n\n2\n)\n−\nφ\n(\n\n\n\n\n\n\n4\n,\n2\n)\n=\n\n\n\n\n\n\n7\n−\n\n\n\n\n\n\n1\n=\n\n\n\n\n\n\n6\n\n\n{\\displaystyle \\varphi (\\,\\,\\,20,\\,\\,\\,3)=\\varphi (\\,\\,\\,20,\\,\\,\\,2)-\\varphi (\\,\\,\\,\\,\\,\\,4,2)=\\,\\,\\,\\,\\,\\,7-\\,\\,\\,\\,\\,\\,1=\\,\\,\\,\\,\\,\\,6}\n\n \n\n\n\n\nφ\n(\n\n\n\n20\n,\n\n\n\n2\n)\n=\nφ\n(\n\n\n\n20\n,\n\n\n\n1\n)\n−\nφ\n(\n\n\n\n\n\n\n6\n,\n1\n)\n=\n\n\n\n10\n−\n\n\n\n\n\n\n3\n=\n\n\n\n\n\n\n7\n\n\n{\\displaystyle \\varphi (\\,\\,\\,20,\\,\\,\\,2)=\\varphi (\\,\\,\\,20,\\,\\,\\,1)-\\varphi (\\,\\,\\,\\,\\,\\,6,1)=\\,\\,\\,10-\\,\\,\\,\\,\\,\\,3=\\,\\,\\,\\,\\,\\,7}\n\n \n\n\n\n\nφ\n(\n4\n,\n\n\n\n2\n)\n=\nφ\n(\n\n\n\n4\n,\n\n\n\n1\n)\n−\nφ\n(\n1\n,\n1\n)\n=\n\n\n\n\n\n\n2\n−\n\n\n\n\n\n\n1\n=\n\n\n\n\n\n\n1\n\n\n{\\displaystyle \\varphi (4,\\,\\,\\,2)=\\varphi (\\,\\,\\,4,\\,\\,\\,1)-\\varphi (1,1)=\\,\\,\\,\\,\\,\\,2-\\,\\,\\,\\,\\,\\,1=\\,\\,\\,\\,\\,\\,1}\n\n \n\n\n\n\n\n\n\n\n\n\n\nφ\n(\n\n\n\n12\n,\n\n\n\n4\n)\n=\nφ\n(\n\n\n\n12\n,\n\n\n\n3\n)\n−\nφ\n(\n\n\n\n\n\n\n1\n,\n3\n)\n=\n\n\n\n\n\n\n3\n−\n\n\n\n\n\n\n1\n=\n\n\n\n\n\n\n2\n\n\n{\\displaystyle \\varphi (\\,\\,\\,12,\\,\\,\\,4)=\\varphi (\\,\\,\\,12,\\,\\,\\,3)-\\varphi (\\,\\,\\,\\,\\,\\,1,3)=\\,\\,\\,\\,\\,\\,3-\\,\\,\\,\\,\\,\\,1=\\,\\,\\,\\,\\,\\,2}\n\n \n\n\n\n\nφ\n(\n\n\n\n12\n,\n\n\n\n3\n)\n=\nφ\n(\n\n\n\n12\n,\n\n\n\n2\n)\n−\nφ\n(\n\n\n\n\n\n\n2\n,\n2\n)\n=\n\n\n\n\n\n\n4\n−\n\n\n\n\n\n\n1\n=\n\n\n\n\n\n\n3\n\n\n{\\displaystyle \\varphi (\\,\\,\\,12,\\,\\,\\,3)=\\varphi (\\,\\,\\,12,\\,\\,\\,2)-\\varphi (\\,\\,\\,\\,\\,\\,2,2)=\\,\\,\\,\\,\\,\\,4-\\,\\,\\,\\,\\,\\,1=\\,\\,\\,\\,\\,\\,3}\n\n \n\n\n\n\nφ\n(\n\n\n\n12\n,\n\n\n\n2\n)\n=\nφ\n(\n\n\n\n12\n,\n\n\n\n1\n)\n−\nφ\n(\n\n\n\n\n\n\n4\n,\n1\n)\n=\n\n\n\n\n\n\n6\n−\n\n\n\n\n\n\n2\n=\n\n\n\n\n\n\n4\n\n\n{\\displaystyle \\varphi (\\,\\,\\,12,\\,\\,\\,2)=\\varphi (\\,\\,\\,12,\\,\\,\\,1)-\\varphi (\\,\\,\\,\\,\\,\\,4,1)=\\,\\,\\,\\,\\,\\,6-\\,\\,\\,\\,\\,\\,2=\\,\\,\\,\\,\\,\\,4}\n\n \n\n\n\n\n\n\n\n\n\n\n\nφ\n(\n117\n,\n\n\n\n8\n)\n=\nφ\n(\n117\n,\n\n\n\n7\n)\n−\nφ\n(\n\n\n\n6\n,\n\n\n\n7\n)\n=\n\n\n\n24\n−\n\n\n\n\n\n\n1\n=\n\n\n\n23\n\n\n{\\displaystyle \\varphi (117,\\,\\,\\,8)=\\varphi (117,\\,\\,\\,7)-\\varphi (\\,\\,\\,6,\\,\\,\\,7)=\\,\\,\\,24-\\,\\,\\,\\,\\,\\,1=\\,\\,\\,23}\n\n \n\n\n\n\nφ\n(\n117\n,\n\n\n\n7\n)\n=\nφ\n(\n117\n,\n\n\n\n6\n)\n−\nφ\n(\n\n\n\n6\n,\n\n\n\n6\n)\n=\n\n\n\n25\n−\n\n\n\n\n\n\n1\n=\n\n\n\n24\n\n\n{\\displaystyle \\varphi (117,\\,\\,\\,7)=\\varphi (117,\\,\\,\\,6)-\\varphi (\\,\\,\\,6,\\,\\,\\,6)=\\,\\,\\,25-\\,\\,\\,\\,\\,\\,1=\\,\\,\\,24}\n\n \n\n\n\n\nφ\n(\n117\n,\n\n\n\n6\n)\n=\nφ\n(\n117\n,\n\n\n\n5\n)\n−\nφ\n(\n\n\n\n9\n,\n\n\n\n5\n)\n=\n\n\n\n26\n−\n\n\n\n\n\n\n1\n=\n\n\n\n25\n\n\n{\\displaystyle \\varphi (117,\\,\\,\\,6)=\\varphi (117,\\,\\,\\,5)-\\varphi (\\,\\,\\,9,\\,\\,\\,5)=\\,\\,\\,26-\\,\\,\\,\\,\\,\\,1=\\,\\,\\,25}\n\n \n\n\n\n\nφ\n(\n117\n,\n\n\n\n5\n)\n=\nφ\n(\n117\n,\n\n\n\n4\n)\n−\nφ\n(\n10\n,\n\n\n\n4\n)\n=\n\n\n\n27\n−\n\n\n\n\n\n\n1\n=\n\n\n\n26\n\n\n{\\displaystyle \\varphi (117,\\,\\,\\,5)=\\varphi (117,\\,\\,\\,4)-\\varphi (10,\\,\\,\\,4)=\\,\\,\\,27-\\,\\,\\,\\,\\,\\,1=\\,\\,\\,26}\n\n \n\n\n\n\nφ\n(\n117\n,\n\n\n\n4\n)\n=\nφ\n(\n117\n,\n\n\n\n3\n)\n−\nφ\n(\n16\n,\n\n\n\n3\n)\n=\n\n\n\n31\n−\n\n\n\n\n\n\n4\n=\n\n\n\n27\n\n\n{\\displaystyle \\varphi (117,\\,\\,\\,4)=\\varphi (117,\\,\\,\\,3)-\\varphi (16,\\,\\,\\,3)=\\,\\,\\,31-\\,\\,\\,\\,\\,\\,4=\\,\\,\\,27}\n\n \n\n\n\n\nφ\n(\n117\n,\n\n\n\n3\n)\n=\nφ\n(\n117\n,\n\n\n\n2\n)\n−\nφ\n(\n39\n,\n\n\n\n1\n)\n=\n\n\n\n59\n−\n\n\n\n20\n=\n\n\n\n39\n\n\n{\\displaystyle \\varphi (117,\\,\\,\\,3)=\\varphi (117,\\,\\,\\,2)-\\varphi (39,\\,\\,\\,1)=\\,\\,\\,59-\\,\\,\\,20=\\,\\,\\,39}\n\n \n\n\n\n\nφ\n(\n\n\n\n23\n,\n\n\n\n2\n)\n=\nφ\n(\n\n\n\n23\n,\n\n\n\n1\n)\n−\nφ\n(\n\n\n\n\n\n\n7\n,\n1\n)\n=\n\n\n\n12\n−\n\n\n\n\n\n\n4\n=\n\n\n\n\n\n\n8\n\n\n{\\displaystyle \\varphi (\\,\\,\\,23,\\,\\,\\,2)=\\varphi (\\,\\,\\,23,\\,\\,\\,1)-\\varphi (\\,\\,\\,\\,\\,\\,7,1)=\\,\\,\\,12-\\,\\,\\,\\,\\,\\,4=\\,\\,\\,\\,\\,\\,8}\n\n \n\n\n\n\n\n\n\n\n\n\n\nφ\n(\n\n\n\n16\n,\n\n\n\n3\n)\n=\nφ\n(\n\n\n\n16\n,\n\n\n\n2\n)\n−\nφ\n(\n\n\n\n\n\n\n3\n,\n2\n)\n=\n\n\n\n\n\n\n5\n−\n\n\n\n\n\n\n1\n=\n\n\n\n\n\n\n4\n\n\n{\\displaystyle \\varphi (\\,\\,\\,16,\\,\\,\\,3)=\\varphi (\\,\\,\\,16,\\,\\,\\,2)-\\varphi (\\,\\,\\,\\,\\,\\,3,2)=\\,\\,\\,\\,\\,\\,5-\\,\\,\\,\\,\\,\\,1=\\,\\,\\,\\,\\,\\,4}\n\n \n\n\n\n\nφ\n(\n\n\n\n16\n,\n\n\n\n2\n)\n=\nφ\n(\n\n\n\n16\n,\n\n\n\n1\n)\n−\nφ\n(\n\n\n\n\n\n\n5\n,\n1\n)\n=\n\n\n\n\n\n\n8\n−\n\n\n\n\n\n\n3\n=\n\n\n\n\n\n\n5\n\n\n{\\displaystyle \\varphi (\\,\\,\\,16,\\,\\,\\,2)=\\varphi (\\,\\,\\,16,\\,\\,\\,1)-\\varphi (\\,\\,\\,\\,\\,\\,5,1)=\\,\\,\\,\\,\\,\\,8-\\,\\,\\,\\,\\,\\,3=\\,\\,\\,\\,\\,\\,5}\n\n \n\n\n\n\n\n\n\n\n\n\n\nφ\n(\n\n\n\n93\n,\n\n\n\n9\n)\n=\nφ\n(\n\n\n\n93\n,\n\n\n\n8\n)\n−\nφ\n(\n\n\n\n\n\n\n4\n,\n8\n)\n=\n\n\n\n17\n−\n\n\n\n\n\n\n1\n=\n\n\n\n16\n\n\n{\\displaystyle \\varphi (\\,\\,\\,93,\\,\\,\\,9)=\\varphi (\\,\\,\\,93,\\,\\,\\,8)-\\varphi (\\,\\,\\,\\,\\,\\,4,8)=\\,\\,\\,17-\\,\\,\\,\\,\\,\\,1=\\,\\,\\,16}\n\n \n\n\n\n\nφ\n(\n\n\n\n93\n,\n\n\n\n8\n)\n=\nφ\n(\n\n\n\n93\n,\n\n\n\n7\n)\n−\nφ\n(\n\n\n\n\n\n\n4\n,\n7\n)\n=\n\n\n\n18\n−\n\n\n\n\n\n\n1\n=\n\n\n\n17\n\n\n{\\displaystyle \\varphi (\\,\\,\\,93,\\,\\,\\,8)=\\varphi (\\,\\,\\,93,\\,\\,\\,7)-\\varphi (\\,\\,\\,\\,\\,\\,4,7)=\\,\\,\\,18-\\,\\,\\,\\,\\,\\,1=\\,\\,\\,17}\n\n \n\n\n\n\nφ\n(\n\n\n\n93\n,\n\n\n\n7\n)\n=\nφ\n(\n\n\n\n93\n,\n\n\n\n6\n)\n−\nφ\n(\n\n\n\n\n\n\n5\n,\n6\n)\n=\n\n\n\n19\n−\n\n\n\n\n\n\n1\n=\n\n\n\n18\n\n\n{\\displaystyle \\varphi (\\,\\,\\,93,\\,\\,\\,7)=\\varphi (\\,\\,\\,93,\\,\\,\\,6)-\\varphi (\\,\\,\\,\\,\\,\\,5,6)=\\,\\,\\,19-\\,\\,\\,\\,\\,\\,1=\\,\\,\\,18}\n\n \n\n\n\n"}}
	{"gt_parse": {"text_sequance": "\n\n\n\n\n\n\nφ\n(\n\n\n\n93\n,\n\n\n\n6\n)\n=\nφ\n(\n\n\n\n93\n,\n\n\n\n5\n)\n−\nφ\n(\n\n\n\n\n\n\n7\n,\n5\n)\n=\n\n\n\n20\n−\n\n\n\n\n\n\n1\n=\n\n\n\n19\n\n\n{\\displaystyle \\varphi (\\,\\,\\,93,\\,\\,\\,6)=\\varphi (\\,\\,\\,93,\\,\\,\\,5)-\\varphi (\\,\\,\\,\\,\\,\\,7,5)=\\,\\,\\,20-\\,\\,\\,\\,\\,\\,1=\\,\\,\\,19}\n\n \n\n\n\n\nφ\n(\n\n\n\n93\n,\n\n\n\n5\n)\n=\nφ\n(\n\n\n\n93\n,\n\n\n\n4\n)\n−\nφ\n(\n\n\n\n\n\n\n8\n,\n4\n)\n=\n\n\n\n21\n−\n\n\n\n\n\n\n1\n=\n\n\n\n20\n\n\n{\\displaystyle \\varphi (\\,\\,\\,93,\\,\\,\\,5)=\\varphi (\\,\\,\\,93,\\,\\,\\,4)-\\varphi (\\,\\,\\,\\,\\,\\,8,4)=\\,\\,\\,21-\\,\\,\\,\\,\\,\\,1=\\,\\,\\,20}\n\n \n\n\n\n\nφ\n(\n\n\n\n93\n,\n\n\n\n4\n)\n=\nφ\n(\n\n\n\n93\n,\n\n\n\n3\n)\n−\nφ\n(\n\n\n\n13\n,\n3\n)\n=\n\n\n\n25\n−\n\n\n\n\n\n\n4\n=\n\n\n\n21\n\n\n{\\displaystyle \\varphi (\\,\\,\\,93,\\,\\,\\,4)=\\varphi (\\,\\,\\,93,\\,\\,\\,3)-\\varphi (\\,\\,\\,13,3)=\\,\\,\\,25-\\,\\,\\,\\,\\,\\,4=\\,\\,\\,21}\n\n \n\n\n\n\nφ\n(\n\n\n\n93\n,\n\n\n\n3\n)\n=\nφ\n(\n\n\n\n93\n,\n\n\n\n2\n)\n−\nφ\n(\n\n\n\n18\n,\n2\n)\n=\n\n\n\n31\n−\n\n\n\n\n\n\n6\n=\n\n\n\n25\n\n\n{\\displaystyle \\varphi (\\,\\,\\,93,\\,\\,\\,3)=\\varphi (\\,\\,\\,93,\\,\\,\\,2)-\\varphi (\\,\\,\\,18,2)=\\,\\,\\,31-\\,\\,\\,\\,\\,\\,6=\\,\\,\\,25}\n\n \n\n\n\n\nφ\n(\n\n\n\n93\n,\n\n\n\n2\n)\n=\nφ\n(\n\n\n\n93\n,\n\n\n\n1\n)\n−\nφ\n(\n\n\n\n31\n,\n1\n)\n=\n\n\n\n47\n−\n\n\n\n16\n=\n\n\n\n31\n\n\n{\\displaystyle \\varphi (\\,\\,\\,93,\\,\\,\\,2)=\\varphi (\\,\\,\\,93,\\,\\,\\,1)-\\varphi (\\,\\,\\,31,1)=\\,\\,\\,47-\\,\\,\\,16=\\,\\,\\,31}\n\n \n\n\n\n\nφ\n(\n\n\n\n18\n,\n\n\n\n2\n)\n=\nφ\n(\n18\n,\n\n\n\n1\n)\n−\nφ\n(\n6\n,\n1\n)\n=\n\n\n\n\n\n\n9\n−\n\n\n\n\n\n\n3\n\n\n{\\displaystyle \\varphi (\\,\\,\\,18,\\,\\,\\,2)=\\varphi (18,\\,\\,\\,1)-\\varphi (6,1)=\\,\\,\\,\\,\\,\\,9-\\,\\,\\,\\,\\,\\,3}\n\n \n\n\n\n\n\n\n\n=\n\n\n{\\displaystyle =}\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n6\n\n\n{\\displaystyle \\,\\,\\,\\,\\,\\,6}\n\n\n\n\n\n\n\n\n\n\n\n\n\nφ\n(\n\n\n\n13\n,\n\n\n\n3\n)\n=\nφ\n(\n13\n,\n\n\n\n2\n)\n−\nφ\n(\n2\n,\n2\n)\n=\n\n\n\n\n\n\n5\n−\n\n\n\n\n\n\n1\n\n\n{\\displaystyle \\varphi (\\,\\,\\,13,\\,\\,\\,3)=\\varphi (13,\\,\\,\\,2)-\\varphi (2,2)=\\,\\,\\,\\,\\,\\,5-\\,\\,\\,\\,\\,\\,1}\n\n \n\n\n\n\nφ\n(\n\n\n\n13\n,\n\n\n\n2\n)\n=\nφ\n(\n13\n,\n\n\n\n1\n)\n−\nφ\n(\n4\n,\n1\n)\n=\n\n\n\n\n\n\n7\n−\n\n\n\n\n\n\n2\n\n\n{\\displaystyle \\varphi (\\,\\,\\,13,\\,\\,\\,2)=\\varphi (13,\\,\\,\\,1)-\\varphi (4,1)=\\,\\,\\,\\,\\,\\,7-\\,\\,\\,\\,\\,\\,2}\n\n \n\n\n\n\n\n\n\n=\n\n\n{\\displaystyle =}\n\n\n\n\n\n\n=\n\n\n{\\displaystyle =}\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n4\n\n\n{\\displaystyle \\,\\,\\,\\,\\,\\,4}\n\n\n\n\n\n\n\n\n\n\n\n\n5\n\n\n{\\displaystyle \\,\\,\\,\\,\\,\\,5}\n\n\n\n\n\n\n\n\n\n\n\n\n\nφ\n(\n\n\n\n87\n,\n10\n)\n=\nφ\n(\n\n\n\n87\n,\n\n\n\n9\n)\n−\nφ\n(\n\n\n\n3\n,\n\n\n\n9\n)\n=\n\n\n\n15\n−\n\n\n\n\n\n\n1\n=\n\n\n\n14\n\n\n{\\displaystyle \\varphi (\\,\\,\\,87,10)=\\varphi (\\,\\,\\,87,\\,\\,\\,9)-\\varphi (\\,\\,\\,3,\\,\\,\\,9)=\\,\\,\\,15-\\,\\,\\,\\,\\,\\,1=\\,\\,\\,14}\n\n \n\n\n\n\nφ\n(\n\n\n\n87\n,\n\n\n\n9\n)\n=\nφ\n(\n\n\n\n87\n,\n\n\n\n8\n)\n−\nφ\n(\n\n\n\n3\n,\n\n\n\n8\n)\n=\n\n\n\n16\n−\n\n\n\n\n\n\n1\n=\n\n\n\n15\n\n\n{\\displaystyle \\varphi (\\,\\,\\,87,\\,\\,\\,9)=\\varphi (\\,\\,\\,87,\\,\\,\\,8)-\\varphi (\\,\\,\\,3,\\,\\,\\,8)=\\,\\,\\,16-\\,\\,\\,\\,\\,\\,1=\\,\\,\\,15}\n\n \n\n\n\n\nφ\n(\n\n\n\n87\n,\n\n\n\n8\n)\n=\nφ\n(\n\n\n\n87\n,\n\n\n\n7\n)\n−\nφ\n(\n\n\n\n4\n,\n\n\n\n7\n)\n=\n\n\n\n17\n−\n\n\n\n\n\n\n1\n=\n\n\n\n16\n\n\n{\\displaystyle \\varphi (\\,\\,\\,87,\\,\\,\\,8)=\\varphi (\\,\\,\\,87,\\,\\,\\,7)-\\varphi (\\,\\,\\,4,\\,\\,\\,7)=\\,\\,\\,17-\\,\\,\\,\\,\\,\\,1=\\,\\,\\,16}\n\n \n\n\n\n\nφ\n(\n\n\n\n87\n,\n\n\n\n7\n)\n=\nφ\n(\n\n\n\n87\n,\n\n\n\n6\n)\n−\nφ\n(\n\n\n\n5\n,\n\n\n\n6\n)\n=\n\n\n\n18\n−\n\n\n\n\n\n\n1\n=\n\n\n\n17\n\n\n{\\displaystyle \\varphi (\\,\\,\\,87,\\,\\,\\,7)=\\varphi (\\,\\,\\,87,\\,\\,\\,6)-\\varphi (\\,\\,\\,5,\\,\\,\\,6)=\\,\\,\\,18-\\,\\,\\,\\,\\,\\,1=\\,\\,\\,17}\n\n \n\n\n\n\nφ\n(\n\n\n\n87\n,\n\n\n\n6\n)\n=\nφ\n(\n\n\n\n87\n,\n\n\n\n5\n)\n−\nφ\n(\n\n\n\n6\n,\n\n\n\n5\n)\n=\n\n\n\n19\n−\n\n\n\n\n\n\n1\n=\n\n\n\n18\n\n\n{\\displaystyle \\varphi (\\,\\,\\,87,\\,\\,\\,6)=\\varphi (\\,\\,\\,87,\\,\\,\\,5)-\\varphi (\\,\\,\\,6,\\,\\,\\,5)=\\,\\,\\,19-\\,\\,\\,\\,\\,\\,1=\\,\\,\\,18}\n\n \n\n\n\n\nφ\n(\n\n\n\n87\n,\n\n\n\n5\n)\n=\nφ\n(\n\n\n\n87\n,\n\n\n\n4\n)\n−\nφ\n(\n\n\n\n7\n,\n\n\n\n4\n)\n=\n\n\n\n20\n−\n\n\n\n\n\n\n1\n=\n\n\n\n19\n\n\n{\\displaystyle \\varphi (\\,\\,\\,87,\\,\\,\\,5)=\\varphi (\\,\\,\\,87,\\,\\,\\,4)-\\varphi (\\,\\,\\,7,\\,\\,\\,4)=\\,\\,\\,20-\\,\\,\\,\\,\\,\\,1=\\,\\,\\,19}\n\n \n\n\n\n\nφ\n(\n\n\n\n87\n,\n\n\n\n4\n)\n=\nφ\n(\n\n\n\n87\n,\n\n\n\n3\n)\n−\nφ\n(\n12\n,\n\n\n\n3\n)\n=\n\n\n\n23\n−\n\n\n\n\n\n\n3\n=\n\n\n\n20\n\n\n{\\displaystyle \\varphi (\\,\\,\\,87,\\,\\,\\,4)=\\varphi (\\,\\,\\,87,\\,\\,\\,3)-\\varphi (12,\\,\\,\\,3)=\\,\\,\\,23-\\,\\,\\,\\,\\,\\,3=\\,\\,\\,20}\n\n \n\n\n\n\nφ\n(\n\n\n\n87\n,\n\n\n\n3\n)\n=\nφ\n(\n\n\n\n87\n,\n\n\n\n2\n)\n−\nφ\n(\n17\n,\n\n\n\n2\n)\n=\n\n\n\n29\n−\n\n\n\n\n\n\n6\n=\n\n\n\n23\n\n\n{\\displaystyle \\varphi (\\,\\,\\,87,\\,\\,\\,3)=\\varphi (\\,\\,\\,87,\\,\\,\\,2)-\\varphi (17,\\,\\,\\,2)=\\,\\,\\,29-\\,\\,\\,\\,\\,\\,6=\\,\\,\\,23}\n\n \n\n\n\n\nφ\n(\n\n\n\n87\n,\n\n\n\n2\n)\n=\nφ\n(\n\n\n\n87\n,\n\n\n\n1\n)\n−\nφ\n(\n29\n,\n\n\n\n1\n)\n=\n\n\n\n44\n−\n\n\n\n15\n=\n\n\n\n29\n\n\n{\\displaystyle \\varphi (\\,\\,\\,87,\\,\\,\\,2)=\\varphi (\\,\\,\\,87,\\,\\,\\,1)-\\varphi (29,\\,\\,\\,1)=\\,\\,\\,44-\\,\\,\\,15=\\,\\,\\,29}\n\n \n\n\n\n\nφ\n(\n\n\n\n17\n,\n\n\n\n2\n)\n=\nφ\n(\n17\n,\n\n\n\n1\n)\n−\nφ\n(\n5\n,\n1\n)\n=\n\n\n\n\n\n\n9\n−\n\n\n\n\n\n\n3\n\n\n{\\displaystyle \\varphi (\\,\\,\\,17,\\,\\,\\,2)=\\varphi (17,\\,\\,\\,1)-\\varphi (5,1)=\\,\\,\\,\\,\\,\\,9-\\,\\,\\,\\,\\,\\,3}\n\n \n\n\n\n\n\n\n\n=\n\n\n{\\displaystyle =}\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n6\n\n\n{\\displaystyle \\,\\,\\,\\,\\,\\,6}\n\n\n\n\n\n\n\n\n\n\n\n\n\nφ\n(\n\n\n\n12\n,\n\n\n\n3\n)\n=\nφ\n(\n12\n,\n\n\n\n2\n)\n−\nφ\n(\n2\n,\n2\n)\n=\n\n\n\n\n\n\n4\n−\n\n\n\n\n\n\n1\n\n\n{\\displaystyle \\varphi (\\,\\,\\,12,\\,\\,\\,3)=\\varphi (12,\\,\\,\\,2)-\\varphi (2,2)=\\,\\,\\,\\,\\,\\,4-\\,\\,\\,\\,\\,\\,1}\n\n \n\n\n\n\nφ\n(\n\n\n\n12\n,\n\n\n\n2\n)\n=\nφ\n(\n12\n,\n\n\n\n1\n)\n−\nφ\n(\n4\n,\n1\n)\n=\n\n\n\n\n\n\n6\n−\n\n\n\n\n\n\n2\n\n\n{\\displaystyle \\varphi (\\,\\,\\,12,\\,\\,\\,2)=\\varphi (12,\\,\\,\\,1)-\\varphi (4,1)=\\,\\,\\,\\,\\,\\,6-\\,\\,\\,\\,\\,\\,2}\n\n \n\n\n\n\n\n\n\n=\n\n\n{\\displaystyle =}\n\n\n\n\n\n\n=\n\n\n{\\displaystyle =}\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n3\n\n\n{\\displaystyle \\,\\,\\,\\,\\,\\,3}\n\n\n\n\n\n\n\n\n\n\n\n\n4\n\n\n{\\displaystyle \\,\\,\\,\\,\\,\\,4}\n\n\n\n\n\n\n\n\n\n\n\n\n\nφ\n(\n2439\n,\n12\n)\n=\nφ\n(\n2439\n,\n11\n)\n−\nφ\n(\n\n\n\n65\n,\n11\n)\n=\n\n\n\n367\n−\n\n\n\n\n\n\n8\n\n\n{\\displaystyle \\varphi (2439,12)=\\varphi (2439,11)-\\varphi (\\,\\,\\,65,11)=\\,\\,\\,367-\\,\\,\\,\\,\\,\\,8}\n\n \n\n\n\n\nφ\n(\n2439\n,\n11\n)\n=\nφ\n(\n2439\n,\n10\n)\n−\nφ\n(\n\n\n\n78\n,\n10\n)\n=\n\n\n\n379\n−\n\n\n\n12\n\n\n{\\displaystyle \\varphi (2439,11)=\\varphi (2439,10)-\\varphi (\\,\\,\\,78,10)=\\,\\,\\,379-\\,\\,\\,12}\n\n \n\n\n\n\nφ\n(\n2439\n,\n10\n)\n=\nφ\n(\n2439\n,\n\n\n\n9\n)\n−\nφ\n(\n\n\n\n84\n,\n\n\n\n9\n)\n=\n\n\n\n394\n−\n\n\n\n15\n\n\n{\\displaystyle \\varphi (2439,10)=\\varphi (2439,\\,\\,\\,9)-\\varphi (\\,\\,\\,84,\\,\\,\\,9)=\\,\\,\\,394-\\,\\,\\,15}\n\n \n\n\n\n\nφ\n(\n2439\n,\n\n\n\n9\n)\n=\nφ\n(\n2439\n,\n\n\n\n8\n)\n−\nφ\n(\n106\n,\n\n\n\n8\n)\n=\n\n\n\n414\n−\n\n\n\n20\n\n\n{\\displaystyle \\varphi (2439,\\,\\,\\,9)=\\varphi (2439,\\,\\,\\,8)-\\varphi (106,\\,\\,\\,8)=\\,\\,\\,414-\\,\\,\\,20}\n\n \n\n\n\n\nφ\n(\n2439\n,\n\n\n\n8\n)\n=\nφ\n(\n2439\n,\n\n\n\n7\n)\n−\nφ\n(\n128\n,\n\n\n\n7\n)\n=\n\n\n\n439\n−\n\n\n\n25\n\n\n{\\displaystyle \\varphi (2439,\\,\\,\\,8)=\\varphi (2439,\\,\\,\\,7)-\\varphi (128,\\,\\,\\,7)=\\,\\,\\,439-\\,\\,\\,25}\n\n \n\n\n\n\nφ\n(\n2439\n,\n\n\n\n7\n)\n=\nφ\n(\n2439\n,\n\n\n\n6\n)\n−\nφ\n(\n143\n,\n\n\n\n6\n)\n=\n\n\n\n468\n−\n\n\n\n29\n\n\n{\\displaystyle \\varphi (2439,\\,\\,\\,7)=\\varphi (2439,\\,\\,\\,6)-\\varphi (143,\\,\\,\\,6)=\\,\\,\\,468-\\,\\,\\,29}\n\n \n\n\n\n\nφ\n(\n2439\n,\n\n\n\n6\n)\n=\nφ\n(\n2439\n,\n\n\n\n5\n)\n−\nφ\n(\n187\n,\n\n\n\n5\n)\n=\n\n\n\n507\n−\n\n\n\n39\n\n\n{\\displaystyle \\varphi (2439,\\,\\,\\,6)=\\varphi (2439,\\,\\,\\,5)-\\varphi (187,\\,\\,\\,5)=\\,\\,\\,507-\\,\\,\\,39}\n\n \n\n\n\n\nφ\n(\n2439\n,\n\n\n\n5\n)\n=\nφ\n(\n2439\n,\n\n\n\n4\n)\n−\nφ\n(\n221\n,\n\n\n\n4\n)\n=\n\n\n\n557\n−\n\n\n\n50\n\n\n{\\displaystyle \\varphi (2439,\\,\\,\\,5)=\\varphi (2439,\\,\\,\\,4)-\\varphi (221,\\,\\,\\,4)=\\,\\,\\,557-\\,\\,\\,50}\n\n \n\n\n\n\nφ\n(\n2439\n,\n\n\n\n4\n)\n=\nφ\n(\n2439\n,\n\n\n\n3\n)\n−\nφ\n(\n348\n,\n\n\n\n3\n)\n=\n\n\n\n650\n−\n\n\n\n93\n\n\n{\\displaystyle \\varphi (2439,\\,\\,\\,4)=\\varphi (2439,\\,\\,\\,3)-\\varphi (348,\\,\\,\\,3)=\\,\\,\\,650-\\,\\,\\,93}\n\n \n\n\n\n\nφ\n(\n2439\n,\n\n\n\n3\n)\n=\nφ\n(\n2439\n,\n\n\n\n2\n)\n−\nφ\n(\n487\n,\n\n\n\n2\n)\n=\n\n\n\n813\n−\n163\n\n\n{\\displaystyle \\varphi (2439,\\,\\,\\,3)=\\varphi (2439,\\,\\,\\,2)-\\varphi (487,\\,\\,\\,2)=\\,\\,\\,813-163}\n\n \n\n\n\n\nφ\n(\n2439\n,\n\n\n\n2\n)\n=\nφ\n(\n2439\n,\n\n\n\n1\n)\n−\nφ\n(\n813\n,\n\n\n\n1\n)\n=\n1220\n−\n407\n\n\n{\\displaystyle \\varphi (2439,\\,\\,\\,2)=\\varphi (2439,\\,\\,\\,1)-\\varphi (813,\\,\\,\\,1)=1220-407}\n\n \n\n\n\n\nφ\n(\n487\n,\n\n\n\n2\n)\n=\nφ\n(\n487\n,\n\n\n\n1\n)\n−\nφ\n(\n162\n,\n1\n)\n=\n244\n−\n\n\n\n81\n\n\n{\\displaystyle \\varphi (487,\\,\\,\\,2)=\\varphi (487,\\,\\,\\,1)-\\varphi (162,1)=244-\\,\\,\\,81}\n\n \n\n\n\n\n\n\n\n=\n\n\n{\\displaystyle =}\n\n\n\n\n\n\n=\n\n\n{\\displaystyle =}\n\n\n\n\n\n\n=\n\n\n{\\displaystyle =}\n\n\n\n\n\n\n=\n\n\n{\\displaystyle =}\n\n\n\n\n\n\n=\n\n\n{\\displaystyle =}\n\n\n\n\n\n\n=\n\n\n{\\displaystyle =}\n\n\n\n\n\n\n=\n\n\n{\\displaystyle =}\n\n\n\n\n\n\n=\n\n\n{\\displaystyle =}\n\n\n\n\n\n\n=\n\n\n{\\displaystyle =}\n\n\n\n\n\n\n=\n\n\n{\\displaystyle =}\n\n\n\n\n\n\n=\n\n\n{\\displaystyle =}\n\n\n\n\n\n\n=\n\n\n{\\displaystyle =}\n\n\n\n\n\n\n\n\n\n359\n\n\n{\\displaystyle 359}\n\n\n\n\n\n\n367\n\n\n{\\displaystyle 367}\n\n\n\n\n\n\n379\n\n\n{\\displaystyle 379}\n\n\n\n\n\n\n394\n\n\n{\\displaystyle 394}\n\n\n\n\n\n\n414\n\n\n{\\displaystyle 414}\n\n\n\n\n\n\n439\n\n\n{\\displaystyle 439}\n\n\n\n\n\n\n468\n\n\n{\\displaystyle 468}\n\n\n\n\n\n\n507\n\n\n{\\displaystyle 507}\n\n\n\n\n\n\n557\n\n\n{\\displaystyle 557}\n\n\n\n\n\n\n650\n\n\n{\\displaystyle 650}\n\n\n\n\n\n\n813\n\n\n{\\displaystyle 813}\n\n\n\n\n\n\n163\n\n\n{\\displaystyle 163}\n\n\n\n\n\n\n\n\n\n\n\n\n\nφ\n(\n\n\n\n348\n,\n\n\n\n3\n)\n=\nφ\n(\n348\n,\n\n\n\n2\n)\n−\nφ\n(\n\n\n\n69\n,\n2\n)\n=\n116\n−\n\n\n\n23\n\n\n{\\displaystyle \\varphi (\\,\\,\\,348,\\,\\,\\,3)=\\varphi (348,\\,\\,\\,2)-\\varphi (\\,\\,\\,69,2)=116-\\,\\,\\,23}\n\n \n\n\n\n\nφ\n(\n\n\n\n348\n,\n\n\n\n2\n)\n=\nφ\n(\n348\n,\n\n\n\n1\n)\n−\nφ\n(\n116\n,\n1\n)\n=\n174\n−\n\n\n\n58\n\n\n{\\displaystyle \\varphi (\\,\\,\\,348,\\,\\,\\,2)=\\varphi (348,\\,\\,\\,1)-\\varphi (116,1)=174-\\,\\,\\,58}\n\n \n\n\n\n\nφ\n(\n69\n,\n\n\n\n2\n)\n=\nφ\n(\n69\n,\n\n\n\n1\n)\n−\nφ\n(\n\n\n\n23\n,\n1\n)\n=\n\n\n\n35\n−\n\n\n\n12\n\n\n{\\displaystyle \\varphi (69,\\,\\,\\,2)=\\varphi (69,\\,\\,\\,1)-\\varphi (\\,\\,\\,23,1)=\\,\\,\\,35-\\,\\,\\,12}\n\n \n\n\n\n\n\n\n\n=\n\n\n{\\displaystyle =}\n\n\n\n\n\n\n=\n\n\n{\\displaystyle =}\n\n\n\n\n\n\n=\n\n\n{\\displaystyle =}\n\n\n\n\n\n\n\n\n\n\n\n\n93\n\n\n{\\displaystyle \\,\\,\\,93}\n\n\n\n\n\n\n116\n\n\n{\\displaystyle 116}\n\n\n\n\n\n\n\n\n\n23\n\n\n{\\displaystyle \\,\\,\\,23}\n\n\n\n\n\n\n\n"}}
	{"gt_parse": {"text_sequance": "\n\n\n\n\n\n\nφ\n(\n221\n,\n\n\n\n4\n)\n=\nφ\n(\n221\n,\n\n\n\n3\n)\n−\nφ\n(\n31\n,\n\n\n\n3\n)\n=\n\n\n\n59\n−\n\n\n\n\n\n\n9\n=\n\n\n\n50\n\n\n{\\displaystyle \\varphi (221,\\,\\,\\,4)=\\varphi (221,\\,\\,\\,3)-\\varphi (31,\\,\\,\\,3)=\\,\\,\\,59-\\,\\,\\,\\,\\,\\,9=\\,\\,\\,50}\n\n \n\n\n\n\nφ\n(\n221\n,\n\n\n\n3\n)\n=\nφ\n(\n221\n,\n\n\n\n2\n)\n−\nφ\n(\n42\n,\n\n\n\n2\n)\n=\n\n\n\n74\n−\n\n\n\n15\n=\n\n\n\n59\n\n\n{\\displaystyle \\varphi (221,\\,\\,\\,3)=\\varphi (221,\\,\\,\\,2)-\\varphi (42,\\,\\,\\,2)=\\,\\,\\,74-\\,\\,\\,15=\\,\\,\\,59}\n\n \n\n\n\n\nφ\n(\n221\n,\n\n\n\n2\n)\n=\nφ\n(\n221\n,\n\n\n\n1\n)\n−\nφ\n(\n73\n,\n\n\n\n1\n)\n=\n111\n−\n\n\n\n37\n=\n\n\n\n74\n\n\n{\\displaystyle \\varphi (221,\\,\\,\\,2)=\\varphi (221,\\,\\,\\,1)-\\varphi (73,\\,\\,\\,1)=111-\\,\\,\\,37=\\,\\,\\,74}\n\n \n\n\n\n\nφ\n(\n\n\n\n44\n,\n\n\n\n2\n)\n=\nφ\n(\n44\n,\n\n\n\n1\n)\n−\nφ\n(\n14\n,\n1\n)\n=\n\n\n\n22\n−\n\n\n\n\n\n\n7\n=\n\n\n\n15\n\n\n{\\displaystyle \\varphi (\\,\\,\\,44,\\,\\,\\,2)=\\varphi (44,\\,\\,\\,1)-\\varphi (14,1)=\\,\\,\\,22-\\,\\,\\,\\,\\,\\,7=\\,\\,\\,15}\n\n \n\n\n\n\n\n\n\n\n\n\n\nφ\n(\n31\n,\n\n\n\n3\n)\n=\nφ\n(\n31\n,\n\n\n\n2\n)\n−\nφ\n(\n\n\n\n6\n,\n2\n)\n=\n\n\n\n11\n−\n\n\n\n\n\n\n2\n=\n\n\n\n\n\n\n9\n\n\n{\\displaystyle \\varphi (31,\\,\\,\\,3)=\\varphi (31,\\,\\,\\,2)-\\varphi (\\,\\,\\,6,2)=\\,\\,\\,11-\\,\\,\\,\\,\\,\\,2=\\,\\,\\,\\,\\,\\,9}\n\n \n\n\n\n\nφ\n(\n31\n,\n\n\n\n2\n)\n=\nφ\n(\n31\n,\n\n\n\n1\n)\n−\nφ\n(\n10\n,\n1\n)\n=\n\n\n\n16\n−\n\n\n\n\n\n\n5\n=\n\n\n\n11\n\n\n{\\displaystyle \\varphi (31,\\,\\,\\,2)=\\varphi (31,\\,\\,\\,1)-\\varphi (10,1)=\\,\\,\\,16-\\,\\,\\,\\,\\,\\,5=\\,\\,\\,11}\n\n \n\n\n\n\nφ\n(\n6\n,\n\n\n\n2\n)\n=\nφ\n(\n6\n,\n\n\n\n1\n)\n−\nφ\n(\n\n\n\n2\n,\n1\n)\n=\n\n\n\n\n\n\n3\n−\n\n\n\n\n\n\n1\n=\n\n\n\n\n\n\n2\n\n\n{\\displaystyle \\varphi (6,\\,\\,\\,2)=\\varphi (6,\\,\\,\\,1)-\\varphi (\\,\\,\\,2,1)=\\,\\,\\,\\,\\,\\,3-\\,\\,\\,\\,\\,\\,1=\\,\\,\\,\\,\\,\\,2}\n\n \n\n\n\n\n\n\n\n\n\n\n\nφ\n(\n187\n,\n\n\n\n5\n)\n=\nφ\n(\n187\n,\n\n\n\n4\n)\n−\nφ\n(\n17\n,\n\n\n\n4\n)\n=\n\n\n\n43\n−\n\n\n\n\n\n\n4\n=\n\n\n\n39\n\n\n{\\displaystyle \\varphi (187,\\,\\,\\,5)=\\varphi (187,\\,\\,\\,4)-\\varphi (17,\\,\\,\\,4)=\\,\\,\\,43-\\,\\,\\,\\,\\,\\,4=\\,\\,\\,39}\n\n \n\n\n\n\nφ\n(\n187\n,\n\n\n\n4\n)\n=\nφ\n(\n187\n,\n\n\n\n3\n)\n−\nφ\n(\n26\n,\n\n\n\n3\n)\n=\n\n\n\n50\n−\n\n\n\n\n\n\n7\n=\n\n\n\n43\n\n\n{\\displaystyle \\varphi (187,\\,\\,\\,4)=\\varphi (187,\\,\\,\\,3)-\\varphi (26,\\,\\,\\,3)=\\,\\,\\,50-\\,\\,\\,\\,\\,\\,7=\\,\\,\\,43}\n\n \n\n\n\n\nφ\n(\n187\n,\n\n\n\n3\n)\n=\nφ\n(\n187\n,\n\n\n\n2\n)\n−\nφ\n(\n37\n,\n\n\n\n2\n)\n=\n\n\n\n63\n−\n\n\n\n13\n=\n\n\n\n50\n\n\n{\\displaystyle \\varphi (187,\\,\\,\\,3)=\\varphi (187,\\,\\,\\,2)-\\varphi (37,\\,\\,\\,2)=\\,\\,\\,63-\\,\\,\\,13=\\,\\,\\,50}\n\n \n\n\n\n\nφ\n(\n187\n,\n\n\n\n2\n)\n=\nφ\n(\n187\n,\n\n\n\n1\n)\n−\nφ\n(\n62\n,\n\n\n\n1\n)\n=\n\n\n\n94\n−\n\n\n\n31\n=\n\n\n\n63\n\n\n{\\displaystyle \\varphi (187,\\,\\,\\,2)=\\varphi (187,\\,\\,\\,1)-\\varphi (62,\\,\\,\\,1)=\\,\\,\\,94-\\,\\,\\,31=\\,\\,\\,63}\n\n \n\n\n\n\nφ\n(\n37\n,\n\n\n\n2\n)\n=\nφ\n(\n37\n,\n\n\n\n1\n)\n−\nφ\n(\n12\n,\n1\n)\n=\n\n\n\n19\n−\n\n\n\n\n\n\n6\n=\n\n\n\n13\n\n\n{\\displaystyle \\varphi (37,\\,\\,\\,2)=\\varphi (37,\\,\\,\\,1)-\\varphi (12,1)=\\,\\,\\,19-\\,\\,\\,\\,\\,\\,6=\\,\\,\\,13}\n\n \n\n\n\n\n\n\n\n\n\n\n\nφ\n(\n26\n,\n\n\n\n3\n)\n=\nφ\n(\n26\n,\n\n\n\n2\n)\n−\nφ\n(\n5\n,\n\n\n\n2\n)\n=\n\n\n\n\n\n\n9\n−\n\n\n\n\n\n\n2\n=\n\n\n\n\n\n\n7\n\n\n{\\displaystyle \\varphi (26,\\,\\,\\,3)=\\varphi (26,\\,\\,\\,2)-\\varphi (5,\\,\\,\\,2)=\\,\\,\\,\\,\\,\\,9-\\,\\,\\,\\,\\,\\,2=\\,\\,\\,\\,\\,\\,7}\n\n \n\n\n\n\nφ\n(\n26\n,\n\n\n\n2\n)\n=\nφ\n(\n26\n,\n\n\n\n1\n)\n−\nφ\n(\n8\n,\n\n\n\n1\n)\n=\n\n\n\n13\n−\n\n\n\n\n\n\n4\n=\n\n\n\n\n\n\n9\n\n\n{\\displaystyle \\varphi (26,\\,\\,\\,2)=\\varphi (26,\\,\\,\\,1)-\\varphi (8,\\,\\,\\,1)=\\,\\,\\,13-\\,\\,\\,\\,\\,\\,4=\\,\\,\\,\\,\\,\\,9}\n\n \n\n\n\n\nφ\n(\n5\n,\n\n\n\n2\n)\n=\nφ\n(\n\n\n\n5\n,\n\n\n\n1\n)\n−\nφ\n(\n1\n,\n1\n)\n=\n\n\n\n\n\n\n3\n−\n\n\n\n\n\n\n1\n=\n\n\n\n\n\n\n2\n\n\n{\\displaystyle \\varphi (5,\\,\\,\\,2)=\\varphi (\\,\\,\\,5,\\,\\,\\,1)-\\varphi (1,1)=\\,\\,\\,\\,\\,\\,3-\\,\\,\\,\\,\\,\\,1=\\,\\,\\,\\,\\,\\,2}\n\n \n\n\n\n\n\n\n\n\n\n\n\nφ\n(\n17\n,\n\n\n\n4\n)\n=\nφ\n(\n17\n,\n\n\n\n3\n)\n−\nφ\n(\n2\n,\n\n\n\n3\n)\n=\n\n\n\n\n\n\n5\n−\n\n\n\n\n\n\n1\n=\n\n\n\n\n\n\n4\n\n\n{\\displaystyle \\varphi (17,\\,\\,\\,4)=\\varphi (17,\\,\\,\\,3)-\\varphi (2,\\,\\,\\,3)=\\,\\,\\,\\,\\,\\,5-\\,\\,\\,\\,\\,\\,1=\\,\\,\\,\\,\\,\\,4}\n\n \n\n\n\n\nφ\n(\n17\n,\n\n\n\n3\n)\n=\nφ\n(\n17\n,\n\n\n\n2\n)\n−\nφ\n(\n3\n,\n\n\n\n2\n)\n=\n\n\n\n\n\n\n6\n−\n\n\n\n\n\n\n1\n=\n\n\n\n\n\n\n5\n\n\n{\\displaystyle \\varphi (17,\\,\\,\\,3)=\\varphi (17,\\,\\,\\,2)-\\varphi (3,\\,\\,\\,2)=\\,\\,\\,\\,\\,\\,6-\\,\\,\\,\\,\\,\\,1=\\,\\,\\,\\,\\,\\,5}\n\n \n\n\n\n\nφ\n(\n17\n,\n\n\n\n2\n)\n=\nφ\n(\n17\n,\n\n\n\n1\n)\n−\nφ\n(\n5\n,\n\n\n\n1\n)\n=\n\n\n\n\n\n\n9\n−\n\n\n\n\n\n\n3\n=\n\n\n\n\n\n\n6\n\n\n{\\displaystyle \\varphi (17,\\,\\,\\,2)=\\varphi (17,\\,\\,\\,1)-\\varphi (5,\\,\\,\\,1)=\\,\\,\\,\\,\\,\\,9-\\,\\,\\,\\,\\,\\,3=\\,\\,\\,\\,\\,\\,6}\n\n \n\n\n\n\n\n\n\n\n\n\n\nφ\n(\n143\n,\n\n\n\n6\n)\n=\nφ\n(\n143\n,\n\n\n\n5\n)\n−\nφ\n(\n11\n,\n5\n)\n=\n\n\n\n30\n−\n\n\n\n\n\n\n1\n=\n\n\n\n29\n\n\n{\\displaystyle \\varphi (143,\\,\\,\\,6)=\\varphi (143,\\,\\,\\,5)-\\varphi (11,5)=\\,\\,\\,30-\\,\\,\\,\\,\\,\\,1=\\,\\,\\,29}\n\n \n\n\n\n\nφ\n(\n143\n,\n\n\n\n5\n)\n=\nφ\n(\n143\n,\n\n\n\n4\n)\n−\nφ\n(\n13\n,\n4\n)\n=\n\n\n\n33\n−\n\n\n\n\n\n\n3\n=\n\n\n\n30\n\n\n{\\displaystyle \\varphi (143,\\,\\,\\,5)=\\varphi (143,\\,\\,\\,4)-\\varphi (13,4)=\\,\\,\\,33-\\,\\,\\,\\,\\,\\,3=\\,\\,\\,30}\n\n \n\n\n\n\nφ\n(\n143\n,\n\n\n\n4\n)\n=\nφ\n(\n143\n,\n\n\n\n3\n)\n−\nφ\n(\n20\n,\n3\n)\n=\n\n\n\n39\n−\n\n\n\n\n\n\n6\n=\n\n\n\n33\n\n\n{\\displaystyle \\varphi (143,\\,\\,\\,4)=\\varphi (143,\\,\\,\\,3)-\\varphi (20,3)=\\,\\,\\,39-\\,\\,\\,\\,\\,\\,6=\\,\\,\\,33}\n\n \n\n\n\n\nφ\n(\n143\n,\n\n\n\n3\n)\n=\nφ\n(\n143\n,\n\n\n\n2\n)\n−\nφ\n(\n28\n,\n2\n)\n=\n\n\n\n48\n−\n\n\n\n\n\n\n9\n=\n\n\n\n39\n\n\n{\\displaystyle \\varphi (143,\\,\\,\\,3)=\\varphi (143,\\,\\,\\,2)-\\varphi (28,2)=\\,\\,\\,48-\\,\\,\\,\\,\\,\\,9=\\,\\,\\,39}\n\n \n\n\n\n\nφ\n(\n143\n,\n\n\n\n2\n)\n=\nφ\n(\n143\n,\n\n\n\n1\n)\n−\nφ\n(\n47\n,\n1\n)\n=\n\n\n\n72\n−\n\n\n\n24\n=\n\n\n\n48\n\n\n{\\displaystyle \\varphi (143,\\,\\,\\,2)=\\varphi (143,\\,\\,\\,1)-\\varphi (47,1)=\\,\\,\\,72-\\,\\,\\,24=\\,\\,\\,48}\n\n \n\n\n\n\nφ\n(\n28\n,\n\n\n\n2\n)\n=\nφ\n(\n28\n,\n\n\n\n1\n)\n−\nφ\n(\n9\n,\n1\n)\n=\n\n\n\n14\n−\n\n\n\n\n\n\n5\n=\n\n\n\n9\n\n\n{\\displaystyle \\varphi (28,\\,\\,\\,2)=\\varphi (28,\\,\\,\\,1)-\\varphi (9,1)=\\,\\,\\,14-\\,\\,\\,\\,\\,\\,5=\\,\\,\\,9}\n\n \n\n\n\n\n\n\n\n\n\n\n\nφ\n(\n20\n,\n\n\n\n3\n)\n=\nφ\n(\n20\n,\n\n\n\n2\n)\n−\nφ\n(\n4\n,\n2\n)\n=\n\n\n\n\n\n\n7\n−\n\n\n\n\n\n\n1\n=\n\n\n\n\n\n\n6\n\n\n{\\displaystyle \\varphi (20,\\,\\,\\,3)=\\varphi (20,\\,\\,\\,2)-\\varphi (4,2)=\\,\\,\\,\\,\\,\\,7-\\,\\,\\,\\,\\,\\,1=\\,\\,\\,\\,\\,\\,6}\n\n \n\n\n\n\nφ\n(\n20\n,\n\n\n\n2\n)\n=\nφ\n(\n20\n,\n\n\n\n1\n)\n−\nφ\n(\n6\n,\n1\n)\n=\n\n\n\n10\n−\n\n\n\n\n\n\n3\n=\n\n\n\n\n\n\n7\n\n\n{\\displaystyle \\varphi (20,\\,\\,\\,2)=\\varphi (20,\\,\\,\\,1)-\\varphi (6,1)=\\,\\,\\,10-\\,\\,\\,\\,\\,\\,3=\\,\\,\\,\\,\\,\\,7}\n\n \n\n\n\n\nφ\n(\n4\n,\n\n\n\n2\n)\n=\nφ\n(\n\n\n\n4\n,\n\n\n\n1\n)\n−\nφ\n(\n1\n,\n1\n)\n=\n\n\n\n\n\n\n2\n−\n\n\n\n\n\n\n1\n=\n\n\n\n\n\n\n1\n\n\n{\\displaystyle \\varphi (4,\\,\\,\\,2)=\\varphi (\\,\\,\\,4,\\,\\,\\,1)-\\varphi (1,1)=\\,\\,\\,\\,\\,\\,2-\\,\\,\\,\\,\\,\\,1=\\,\\,\\,\\,\\,\\,1}\n\n \n\n\n\n\n\n\n\n\n\n\n\nφ\n(\n13\n,\n\n\n\n4\n)\n=\nφ\n(\n13\n,\n\n\n\n3\n)\n−\nφ\n(\n1\n,\n\n\n\n3\n)\n=\n\n\n\n\n\n\n4\n−\n\n\n\n\n\n\n1\n=\n\n\n\n\n\n\n3\n\n\n{\\displaystyle \\varphi (13,\\,\\,\\,4)=\\varphi (13,\\,\\,\\,3)-\\varphi (1,\\,\\,\\,3)=\\,\\,\\,\\,\\,\\,4-\\,\\,\\,\\,\\,\\,1=\\,\\,\\,\\,\\,\\,3}\n\n \n\n\n\n\nφ\n(\n13\n,\n\n\n\n3\n)\n=\nφ\n(\n13\n,\n\n\n\n2\n)\n−\nφ\n(\n2\n,\n\n\n\n2\n)\n=\n\n\n\n\n\n\n5\n−\n\n\n\n\n\n\n1\n=\n\n\n\n\n\n\n4\n\n\n{\\displaystyle \\varphi (13,\\,\\,\\,3)=\\varphi (13,\\,\\,\\,2)-\\varphi (2,\\,\\,\\,2)=\\,\\,\\,\\,\\,\\,5-\\,\\,\\,\\,\\,\\,1=\\,\\,\\,\\,\\,\\,4}\n\n \n\n\n\n\nφ\n(\n13\n,\n\n\n\n2\n)\n=\nφ\n(\n13\n,\n\n\n\n1\n)\n−\nφ\n(\n4\n,\n\n\n\n1\n)\n=\n\n\n\n\n\n\n7\n−\n\n\n\n\n\n\n2\n=\n\n\n\n\n\n\n5\n\n\n{\\displaystyle \\varphi (13,\\,\\,\\,2)=\\varphi (13,\\,\\,\\,1)-\\varphi (4,\\,\\,\\,1)=\\,\\,\\,\\,\\,\\,7-\\,\\,\\,\\,\\,\\,2=\\,\\,\\,\\,\\,\\,5}\n\n \n\n\n\n\n\n\n\n\n\n\n\nφ\n(\n128\n,\n\n\n\n7\n)\n=\nφ\n(\n128\n,\n\n\n\n6\n)\n−\nφ\n(\n\n\n\n7\n,\n\n\n\n6\n)\n=\n\n\n\n26\n−\n\n\n\n\n\n\n1\n=\n\n\n\n25\n\n\n{\\displaystyle \\varphi (128,\\,\\,\\,7)=\\varphi (128,\\,\\,\\,6)-\\varphi (\\,\\,\\,7,\\,\\,\\,6)=\\,\\,\\,26-\\,\\,\\,\\,\\,\\,1=\\,\\,\\,25}\n\n \n\n\n\n\nφ\n(\n128\n,\n\n\n\n6\n)\n=\nφ\n(\n128\n,\n\n\n\n5\n)\n−\nφ\n(\n\n\n\n9\n,\n\n\n\n5\n)\n=\n\n\n\n27\n−\n\n\n\n\n\n\n1\n=\n\n\n\n26\n\n\n{\\displaystyle \\varphi (128,\\,\\,\\,6)=\\varphi (128,\\,\\,\\,5)-\\varphi (\\,\\,\\,9,\\,\\,\\,5)=\\,\\,\\,27-\\,\\,\\,\\,\\,\\,1=\\,\\,\\,26}\n\n \n\n\n\n\nφ\n(\n128\n,\n\n\n\n5\n)\n=\nφ\n(\n128\n,\n\n\n\n4\n)\n−\nφ\n(\n11\n,\n\n\n\n4\n)\n=\n\n\n\n29\n−\n\n\n\n\n\n\n2\n=\n\n\n\n27\n\n\n{\\displaystyle \\varphi (128,\\,\\,\\,5)=\\varphi (128,\\,\\,\\,4)-\\varphi (11,\\,\\,\\,4)=\\,\\,\\,29-\\,\\,\\,\\,\\,\\,2=\\,\\,\\,27}\n\n \n\n\n\n\nφ\n(\n128\n,\n\n\n\n4\n)\n=\nφ\n(\n128\n,\n\n\n\n3\n)\n−\nφ\n(\n18\n,\n\n\n\n3\n)\n=\n\n\n\n34\n−\n\n\n\n\n\n\n5\n=\n\n\n\n29\n\n\n{\\displaystyle \\varphi (128,\\,\\,\\,4)=\\varphi (128,\\,\\,\\,3)-\\varphi (18,\\,\\,\\,3)=\\,\\,\\,34-\\,\\,\\,\\,\\,\\,5=\\,\\,\\,29}\n\n \n\n\n\n"}}
	{"gt_parse": {"text_sequance": "\n\n\n\n\n\n\nφ\n(\n128\n,\n\n\n\n3\n)\n=\nφ\n(\n128\n,\n\n\n\n2\n)\n−\nφ\n(\n25\n,\n\n\n\n2\n)\n=\n\n\n\n43\n−\n\n\n\n\n\n\n9\n=\n\n\n\n34\n\n\n{\\displaystyle \\varphi (128,\\,\\,\\,3)=\\varphi (128,\\,\\,\\,2)-\\varphi (25,\\,\\,\\,2)=\\,\\,\\,43-\\,\\,\\,\\,\\,\\,9=\\,\\,\\,34}\n\n \n\n\n\n\nφ\n(\n128\n,\n\n\n\n2\n)\n=\nφ\n(\n128\n,\n\n\n\n1\n)\n−\nφ\n(\n42\n,\n\n\n\n1\n)\n=\n\n\n\n62\n−\n\n\n\n21\n=\n\n\n\n43\n\n\n{\\displaystyle \\varphi (128,\\,\\,\\,2)=\\varphi (128,\\,\\,\\,1)-\\varphi (42,\\,\\,\\,1)=\\,\\,\\,62-\\,\\,\\,21=\\,\\,\\,43}\n\n \n\n\n\n\nφ\n(\n\n\n\n25\n,\n\n\n\n2\n)\n=\nφ\n(\n25\n,\n\n\n\n1\n)\n−\nφ\n(\n8\n,\n1\n)\n=\n\n\n\n13\n−\n\n\n\n\n\n\n4\n\n\n{\\displaystyle \\varphi (\\,\\,\\,25,\\,\\,\\,2)=\\varphi (25,\\,\\,\\,1)-\\varphi (8,1)=\\,\\,\\,13-\\,\\,\\,\\,\\,\\,4}\n\n \n\n\n\n\n\n\n\n=\n\n\n{\\displaystyle =}\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n9\n\n\n{\\displaystyle \\,\\,\\,\\,\\,\\,9}\n\n\n\n\n\n\n\n\n\n\n\n\n\nφ\n(\n\n\n\n18\n,\n\n\n\n3\n)\n=\nφ\n(\n18\n,\n\n\n\n2\n)\n−\nφ\n(\n3\n,\n2\n)\n=\n\n\n\n\n\n\n6\n−\n\n\n\n\n\n\n1\n\n\n{\\displaystyle \\varphi (\\,\\,\\,18,\\,\\,\\,3)=\\varphi (18,\\,\\,\\,2)-\\varphi (3,2)=\\,\\,\\,\\,\\,\\,6-\\,\\,\\,\\,\\,\\,1}\n\n \n\n\n\n\nφ\n(\n\n\n\n18\n,\n\n\n\n2\n)\n=\nφ\n(\n18\n,\n\n\n\n1\n)\n−\nφ\n(\n6\n,\n1\n)\n=\n\n\n\n\n\n\n9\n−\n\n\n\n\n\n\n3\n\n\n{\\displaystyle \\varphi (\\,\\,\\,18,\\,\\,\\,2)=\\varphi (18,\\,\\,\\,1)-\\varphi (6,1)=\\,\\,\\,\\,\\,\\,9-\\,\\,\\,\\,\\,\\,3}\n\n \n\n\n\n\n\n\n\n=\n\n\n{\\displaystyle =}\n\n\n\n\n\n\n=\n\n\n{\\displaystyle =}\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n5\n\n\n{\\displaystyle \\,\\,\\,\\,\\,\\,5}\n\n\n\n\n\n\n\n\n\n\n\n\n6\n\n\n{\\displaystyle \\,\\,\\,\\,\\,\\,6}\n\n\n\n\n\n\n\n\n\n\n\n\n\nφ\n(\n\n\n\n11\n,\n\n\n\n4\n)\n=\nφ\n(\n11\n,\n\n\n\n3\n)\n−\nφ\n(\n1\n,\n3\n)\n=\n\n\n\n\n\n\n3\n−\n\n\n\n\n\n\n1\n\n\n{\\displaystyle \\varphi (\\,\\,\\,11,\\,\\,\\,4)=\\varphi (11,\\,\\,\\,3)-\\varphi (1,3)=\\,\\,\\,\\,\\,\\,3-\\,\\,\\,\\,\\,\\,1}\n\n \n\n\n\n\nφ\n(\n\n\n\n11\n,\n\n\n\n3\n)\n=\nφ\n(\n11\n,\n\n\n\n2\n)\n−\nφ\n(\n2\n,\n2\n)\n=\n\n\n\n\n\n\n4\n−\n\n\n\n\n\n\n1\n\n\n{\\displaystyle \\varphi (\\,\\,\\,11,\\,\\,\\,3)=\\varphi (11,\\,\\,\\,2)-\\varphi (2,2)=\\,\\,\\,\\,\\,\\,4-\\,\\,\\,\\,\\,\\,1}\n\n \n\n\n\n\nφ\n(\n\n\n\n11\n,\n\n\n\n2\n)\n=\nφ\n(\n11\n,\n\n\n\n1\n)\n−\nφ\n(\n3\n,\n1\n)\n=\n\n\n\n\n\n\n6\n−\n\n\n\n\n\n\n2\n\n\n{\\displaystyle \\varphi (\\,\\,\\,11,\\,\\,\\,2)=\\varphi (11,\\,\\,\\,1)-\\varphi (3,1)=\\,\\,\\,\\,\\,\\,6-\\,\\,\\,\\,\\,\\,2}\n\n \n\n\n\n\n\n\n\n=\n\n\n{\\displaystyle =}\n\n\n\n\n\n\n=\n\n\n{\\displaystyle =}\n\n\n\n\n\n\n=\n\n\n{\\displaystyle =}\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n2\n\n\n{\\displaystyle \\,\\,\\,\\,\\,\\,2}\n\n\n\n\n\n\n\n\n\n\n\n\n3\n\n\n{\\displaystyle \\,\\,\\,\\,\\,\\,3}\n\n\n\n\n\n\n\n\n\n\n\n\n4\n\n\n{\\displaystyle \\,\\,\\,\\,\\,\\,4}\n\n\n\n\n\n\n\n\n\n\n\n\n\nφ\n(\n106\n,\n\n\n\n8\n)\n=\nφ\n(\n106\n,\n\n\n\n7\n)\n−\nφ\n(\n\n\n\n5\n,\n\n\n\n7\n)\n=\n\n\n\n21\n−\n\n\n\n\n\n\n1\n=\n\n\n\n20\n\n\n{\\displaystyle \\varphi (106,\\,\\,\\,8)=\\varphi (106,\\,\\,\\,7)-\\varphi (\\,\\,\\,5,\\,\\,\\,7)=\\,\\,\\,21-\\,\\,\\,\\,\\,\\,1=\\,\\,\\,20}\n\n \n\n\n\n\nφ\n(\n106\n,\n\n\n\n7\n)\n=\nφ\n(\n106\n,\n\n\n\n6\n)\n−\nφ\n(\n\n\n\n6\n,\n\n\n\n6\n)\n=\n\n\n\n22\n−\n\n\n\n\n\n\n1\n=\n\n\n\n21\n\n\n{\\displaystyle \\varphi (106,\\,\\,\\,7)=\\varphi (106,\\,\\,\\,6)-\\varphi (\\,\\,\\,6,\\,\\,\\,6)=\\,\\,\\,22-\\,\\,\\,\\,\\,\\,1=\\,\\,\\,21}\n\n \n\n\n\n\nφ\n(\n106\n,\n\n\n\n6\n)\n=\nφ\n(\n106\n,\n\n\n\n5\n)\n−\nφ\n(\n\n\n\n8\n,\n\n\n\n5\n)\n=\n\n\n\n23\n−\n\n\n\n\n\n\n1\n=\n\n\n\n22\n\n\n{\\displaystyle \\varphi (106,\\,\\,\\,6)=\\varphi (106,\\,\\,\\,5)-\\varphi (\\,\\,\\,8,\\,\\,\\,5)=\\,\\,\\,23-\\,\\,\\,\\,\\,\\,1=\\,\\,\\,22}\n\n \n\n\n\n\nφ\n(\n106\n,\n\n\n\n5\n)\n=\nφ\n(\n106\n,\n\n\n\n4\n)\n−\nφ\n(\n\n\n\n9\n,\n\n\n\n4\n)\n=\n\n\n\n24\n−\n\n\n\n\n\n\n1\n=\n\n\n\n23\n\n\n{\\displaystyle \\varphi (106,\\,\\,\\,5)=\\varphi (106,\\,\\,\\,4)-\\varphi (\\,\\,\\,9,\\,\\,\\,4)=\\,\\,\\,24-\\,\\,\\,\\,\\,\\,1=\\,\\,\\,23}\n\n \n\n\n\n\nφ\n(\n106\n,\n\n\n\n4\n)\n=\nφ\n(\n106\n,\n\n\n\n3\n)\n−\nφ\n(\n15\n,\n\n\n\n3\n)\n=\n\n\n\n28\n−\n\n\n\n\n\n\n4\n=\n\n\n\n24\n\n\n{\\displaystyle \\varphi (106,\\,\\,\\,4)=\\varphi (106,\\,\\,\\,3)-\\varphi (15,\\,\\,\\,3)=\\,\\,\\,28-\\,\\,\\,\\,\\,\\,4=\\,\\,\\,24}\n\n \n\n\n\n\nφ\n(\n106\n,\n\n\n\n3\n)\n=\nφ\n(\n106\n,\n\n\n\n2\n)\n−\nφ\n(\n21\n,\n\n\n\n2\n)\n=\n\n\n\n35\n−\n\n\n\n\n\n\n7\n=\n\n\n\n28\n\n\n{\\displaystyle \\varphi (106,\\,\\,\\,3)=\\varphi (106,\\,\\,\\,2)-\\varphi (21,\\,\\,\\,2)=\\,\\,\\,35-\\,\\,\\,\\,\\,\\,7=\\,\\,\\,28}\n\n \n\n\n\n\nφ\n(\n106\n,\n\n\n\n2\n)\n=\nφ\n(\n106\n,\n\n\n\n1\n)\n−\nφ\n(\n35\n,\n\n\n\n1\n)\n=\n\n\n\n53\n−\n\n\n\n18\n=\n\n\n\n35\n\n\n{\\displaystyle \\varphi (106,\\,\\,\\,2)=\\varphi (106,\\,\\,\\,1)-\\varphi (35,\\,\\,\\,1)=\\,\\,\\,53-\\,\\,\\,18=\\,\\,\\,35}\n\n \n\n\n\n\nφ\n(\n\n\n\n21\n,\n\n\n\n2\n)\n=\nφ\n(\n21\n,\n\n\n\n1\n)\n−\nφ\n(\n7\n,\n1\n)\n=\n\n\n\n11\n−\n\n\n\n\n\n\n4\n\n\n{\\displaystyle \\varphi (\\,\\,\\,21,\\,\\,\\,2)=\\varphi (21,\\,\\,\\,1)-\\varphi (7,1)=\\,\\,\\,11-\\,\\,\\,\\,\\,\\,4}\n\n \n\n\n\n\n\n\n\n=\n\n\n{\\displaystyle =}\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n7\n\n\n{\\displaystyle \\,\\,\\,\\,\\,\\,7}\n\n\n\n\n\n\n\n\n\n\n\n\n\nφ\n(\n\n\n\n15\n,\n\n\n\n3\n)\n=\nφ\n(\n15\n,\n\n\n\n2\n)\n−\nφ\n(\n3\n,\n2\n)\n=\n\n\n\n\n\n\n5\n−\n\n\n\n\n\n\n1\n\n\n{\\displaystyle \\varphi (\\,\\,\\,15,\\,\\,\\,3)=\\varphi (15,\\,\\,\\,2)-\\varphi (3,2)=\\,\\,\\,\\,\\,\\,5-\\,\\,\\,\\,\\,\\,1}\n\n \n\n\n\n\nφ\n(\n\n\n\n15\n,\n\n\n\n2\n)\n=\nφ\n(\n15\n,\n\n\n\n1\n)\n−\nφ\n(\n5\n,\n1\n)\n=\n\n\n\n\n\n\n8\n−\n\n\n\n\n\n\n3\n\n\n{\\displaystyle \\varphi (\\,\\,\\,15,\\,\\,\\,2)=\\varphi (15,\\,\\,\\,1)-\\varphi (5,1)=\\,\\,\\,\\,\\,\\,8-\\,\\,\\,\\,\\,\\,3}\n\n \n\n\n\n\n\n\n\n=\n\n\n{\\displaystyle =}\n\n\n\n\n\n\n=\n\n\n{\\displaystyle =}\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n4\n\n\n{\\displaystyle \\,\\,\\,\\,\\,\\,4}\n\n\n\n\n\n\n\n\n\n\n\n\n5\n\n\n{\\displaystyle \\,\\,\\,\\,\\,\\,5}\n\n\n\n\n\n\n\n\n\n\n\n\n\nφ\n(\n\n\n\n84\n,\n\n\n\n9\n)\n=\nφ\n(\n\n\n\n84\n,\n\n\n\n8\n)\n−\nφ\n(\n\n\n\n3\n,\n\n\n\n8\n)\n=\n\n\n\n16\n−\n\n\n\n\n\n\n1\n=\n\n\n\n15\n\n\n{\\displaystyle \\varphi (\\,\\,\\,84,\\,\\,\\,9)=\\varphi (\\,\\,\\,84,\\,\\,\\,8)-\\varphi (\\,\\,\\,3,\\,\\,\\,8)=\\,\\,\\,16-\\,\\,\\,\\,\\,\\,1=\\,\\,\\,15}\n\n \n\n\n\n\nφ\n(\n\n\n\n84\n,\n\n\n\n8\n)\n=\nφ\n(\n\n\n\n84\n,\n\n\n\n7\n)\n−\nφ\n(\n\n\n\n4\n,\n\n\n\n7\n)\n=\n\n\n\n17\n−\n\n\n\n\n\n\n1\n=\n\n\n\n16\n\n\n{\\displaystyle \\varphi (\\,\\,\\,84,\\,\\,\\,8)=\\varphi (\\,\\,\\,84,\\,\\,\\,7)-\\varphi (\\,\\,\\,4,\\,\\,\\,7)=\\,\\,\\,17-\\,\\,\\,\\,\\,\\,1=\\,\\,\\,16}\n\n \n\n\n\n\nφ\n(\n\n\n\n84\n,\n\n\n\n7\n)\n=\nφ\n(\n\n\n\n84\n,\n\n\n\n6\n)\n−\nφ\n(\n\n\n\n4\n,\n\n\n\n6\n)\n=\n\n\n\n18\n−\n\n\n\n\n\n\n1\n=\n\n\n\n17\n\n\n{\\displaystyle \\varphi (\\,\\,\\,84,\\,\\,\\,7)=\\varphi (\\,\\,\\,84,\\,\\,\\,6)-\\varphi (\\,\\,\\,4,\\,\\,\\,6)=\\,\\,\\,18-\\,\\,\\,\\,\\,\\,1=\\,\\,\\,17}\n\n \n\n\n\n\nφ\n(\n\n\n\n84\n,\n\n\n\n6\n)\n=\nφ\n(\n\n\n\n84\n,\n\n\n\n5\n)\n−\nφ\n(\n\n\n\n6\n,\n\n\n\n5\n)\n=\n\n\n\n19\n−\n\n\n\n\n\n\n1\n=\n\n\n\n18\n\n\n{\\displaystyle \\varphi (\\,\\,\\,84,\\,\\,\\,6)=\\varphi (\\,\\,\\,84,\\,\\,\\,5)-\\varphi (\\,\\,\\,6,\\,\\,\\,5)=\\,\\,\\,19-\\,\\,\\,\\,\\,\\,1=\\,\\,\\,18}\n\n \n\n\n\n\nφ\n(\n\n\n\n84\n,\n\n\n\n5\n)\n=\nφ\n(\n\n\n\n84\n,\n\n\n\n4\n)\n−\nφ\n(\n\n\n\n7\n,\n\n\n\n4\n)\n=\n\n\n\n20\n−\n\n\n\n\n\n\n1\n=\n\n\n\n19\n\n\n{\\displaystyle \\varphi (\\,\\,\\,84,\\,\\,\\,5)=\\varphi (\\,\\,\\,84,\\,\\,\\,4)-\\varphi (\\,\\,\\,7,\\,\\,\\,4)=\\,\\,\\,20-\\,\\,\\,\\,\\,\\,1=\\,\\,\\,19}\n\n \n\n\n\n\nφ\n(\n\n\n\n84\n,\n\n\n\n4\n)\n=\nφ\n(\n\n\n\n84\n,\n\n\n\n3\n)\n−\nφ\n(\n12\n,\n\n\n\n3\n)\n=\n\n\n\n23\n−\n\n\n\n\n\n\n3\n=\n\n\n\n20\n\n\n{\\displaystyle \\varphi (\\,\\,\\,84,\\,\\,\\,4)=\\varphi (\\,\\,\\,84,\\,\\,\\,3)-\\varphi (12,\\,\\,\\,3)=\\,\\,\\,23-\\,\\,\\,\\,\\,\\,3=\\,\\,\\,20}\n\n \n\n\n\n\nφ\n(\n\n\n\n84\n,\n\n\n\n3\n)\n=\nφ\n(\n\n\n\n84\n,\n\n\n\n2\n)\n−\nφ\n(\n16\n,\n\n\n\n2\n)\n=\n\n\n\n28\n−\n\n\n\n\n\n\n5\n=\n\n\n\n23\n\n\n{\\displaystyle \\varphi (\\,\\,\\,84,\\,\\,\\,3)=\\varphi (\\,\\,\\,84,\\,\\,\\,2)-\\varphi (16,\\,\\,\\,2)=\\,\\,\\,28-\\,\\,\\,\\,\\,\\,5=\\,\\,\\,23}\n\n \n\n\n\n\nφ\n(\n\n\n\n84\n,\n\n\n\n2\n)\n=\nφ\n(\n\n\n\n84\n,\n\n\n\n1\n)\n−\nφ\n(\n28\n,\n\n\n\n1\n)\n=\n\n\n\n42\n−\n\n\n\n14\n=\n\n\n\n28\n\n\n{\\displaystyle \\varphi (\\,\\,\\,84,\\,\\,\\,2)=\\varphi (\\,\\,\\,84,\\,\\,\\,1)-\\varphi (28,\\,\\,\\,1)=\\,\\,\\,42-\\,\\,\\,14=\\,\\,\\,28}\n\n \n\n\n\n\nφ\n(\n\n\n\n16\n,\n\n\n\n2\n)\n=\nφ\n(\n16\n,\n\n\n\n1\n)\n−\nφ\n(\n5\n,\n1\n)\n=\n\n\n\n\n\n\n8\n−\n\n\n\n\n\n\n3\n\n\n{\\displaystyle \\varphi (\\,\\,\\,16,\\,\\,\\,2)=\\varphi (16,\\,\\,\\,1)-\\varphi (5,1)=\\,\\,\\,\\,\\,\\,8-\\,\\,\\,\\,\\,\\,3}\n\n \n\n\n\n\n\n\n\n=\n\n\n{\\displaystyle =}\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n5\n\n\n{\\displaystyle \\,\\,\\,\\,\\,\\,5}\n\n\n\n\n\n\n\n\n\n\n\n\n\nφ\n(\n\n\n\n12\n,\n3\n)\n=\nφ\n(\n12\n,\n2\n)\n−\nφ\n(\n2\n,\n2\n)\n=\n\n\n\n\n\n\n4\n−\n\n\n\n\n\n\n1\n\n\n{\\displaystyle \\varphi (\\,\\,\\,12,3)=\\varphi (12,2)-\\varphi (2,2)=\\,\\,\\,\\,\\,\\,4-\\,\\,\\,\\,\\,\\,1}\n\n \n\n\n\n\nφ\n(\n\n\n\n12\n,\n2\n)\n=\nφ\n(\n12\n,\n1\n)\n−\nφ\n(\n4\n,\n1\n)\n=\n\n\n\n\n\n\n6\n−\n\n\n\n\n\n\n2\n\n\n{\\displaystyle \\varphi (\\,\\,\\,12,2)=\\varphi (12,1)-\\varphi (4,1)=\\,\\,\\,\\,\\,\\,6-\\,\\,\\,\\,\\,\\,2}\n\n \n\n\n\n\n\n\n\n=\n\n\n{\\displaystyle =}\n\n\n\n\n\n\n=\n\n\n{\\displaystyle =}\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n3\n\n\n{\\displaystyle \\,\\,\\,\\,\\,\\,3}\n\n\n\n\n\n\n\n\n\n\n\n\n4\n\n\n{\\displaystyle \\,\\,\\,\\,\\,\\,4}\n\n\n\n\n\n\n\n\n\n\n\n\n\nφ\n(\n\n\n\n78\n,\n10\n)\n=\nφ\n(\n\n\n\n78\n,\n\n\n\n9\n)\n−\nφ\n(\n\n\n\n2\n,\n\n\n\n9\n)\n=\n\n\n\n13\n−\n\n\n\n\n\n\n1\n=\n\n\n\n12\n\n\n{\\displaystyle \\varphi (\\,\\,\\,78,10)=\\varphi (\\,\\,\\,78,\\,\\,\\,9)-\\varphi (\\,\\,\\,2,\\,\\,\\,9)=\\,\\,\\,13-\\,\\,\\,\\,\\,\\,1=\\,\\,\\,12}\n\n \n\n\n\n\nφ\n(\n\n\n\n78\n,\n\n\n\n9\n)\n=\nφ\n(\n\n\n\n78\n,\n\n\n\n8\n)\n−\nφ\n(\n\n\n\n3\n,\n\n\n\n8\n)\n=\n\n\n\n14\n−\n\n\n\n\n\n\n1\n=\n\n\n\n13\n\n\n{\\displaystyle \\varphi (\\,\\,\\,78,\\,\\,\\,9)=\\varphi (\\,\\,\\,78,\\,\\,\\,8)-\\varphi (\\,\\,\\,3,\\,\\,\\,8)=\\,\\,\\,14-\\,\\,\\,\\,\\,\\,1=\\,\\,\\,13}\n\n \n\n\n\n\nφ\n(\n\n\n\n78\n,\n\n\n\n8\n)\n=\nφ\n(\n\n\n\n78\n,\n\n\n\n7\n)\n−\nφ\n(\n\n\n\n4\n,\n\n\n\n7\n)\n=\n\n\n\n15\n−\n\n\n\n\n\n\n1\n=\n\n\n\n14\n\n\n{\\displaystyle \\varphi (\\,\\,\\,78,\\,\\,\\,8)=\\varphi (\\,\\,\\,78,\\,\\,\\,7)-\\varphi (\\,\\,\\,4,\\,\\,\\,7)=\\,\\,\\,15-\\,\\,\\,\\,\\,\\,1=\\,\\,\\,14}\n\n \n\n\n\n\nφ\n(\n\n\n\n78\n,\n\n\n\n7\n)\n=\nφ\n(\n\n\n\n78\n,\n\n\n\n6\n)\n−\nφ\n(\n\n\n\n4\n,\n\n\n\n6\n)\n=\n\n\n\n16\n−\n\n\n\n\n\n\n1\n=\n\n\n\n15\n\n\n{\\displaystyle \\varphi (\\,\\,\\,78,\\,\\,\\,7)=\\varphi (\\,\\,\\,78,\\,\\,\\,6)-\\varphi (\\,\\,\\,4,\\,\\,\\,6)=\\,\\,\\,16-\\,\\,\\,\\,\\,\\,1=\\,\\,\\,15}\n\n \n\n\n\n\nφ\n(\n\n\n\n78\n,\n\n\n\n6\n)\n=\nφ\n(\n\n\n\n78\n,\n\n\n\n5\n)\n−\nφ\n(\n\n\n\n6\n,\n\n\n\n5\n)\n=\n\n\n\n17\n−\n\n\n\n\n\n\n1\n=\n\n\n\n16\n\n\n{\\displaystyle \\varphi (\\,\\,\\,78,\\,\\,\\,6)=\\varphi (\\,\\,\\,78,\\,\\,\\,5)-\\varphi (\\,\\,\\,6,\\,\\,\\,5)=\\,\\,\\,17-\\,\\,\\,\\,\\,\\,1=\\,\\,\\,16}\n\n \n\n\n\n\nφ\n(\n\n\n\n78\n,\n\n\n\n5\n)\n=\nφ\n(\n\n\n\n78\n,\n\n\n\n4\n)\n−\nφ\n(\n\n\n\n7\n,\n\n\n\n4\n)\n=\n\n\n\n18\n−\n\n\n\n\n\n\n1\n=\n\n\n\n17\n\n\n{\\displaystyle \\varphi (\\,\\,\\,78,\\,\\,\\,5)=\\varphi (\\,\\,\\,78,\\,\\,\\,4)-\\varphi (\\,\\,\\,7,\\,\\,\\,4)=\\,\\,\\,18-\\,\\,\\,\\,\\,\\,1=\\,\\,\\,17}\n\n \n\n\n\n"}}
	{"gt_parse": {"text_sequance": "\n\n\n\n\n\n\nφ\n(\n\n\n\n78\n,\n\n\n\n4\n)\n=\nφ\n(\n\n\n\n78\n,\n\n\n\n3\n)\n−\nφ\n(\n\n\n\n11\n,\n\n\n\n3\n)\n=\n\n\n\n21\n−\n\n\n\n\n\n\n3\n=\n\n\n\n18\n\n\n{\\displaystyle \\varphi (\\,\\,\\,78,\\,\\,\\,4)=\\varphi (\\,\\,\\,78,\\,\\,\\,3)-\\varphi (\\,\\,\\,11,\\,\\,\\,3)=\\,\\,\\,21-\\,\\,\\,\\,\\,\\,3=\\,\\,\\,18}\n\n \n\n\n\n\nφ\n(\n\n\n\n78\n,\n\n\n\n3\n)\n=\nφ\n(\n\n\n\n78\n,\n\n\n\n2\n)\n−\nφ\n(\n\n\n\n15\n,\n\n\n\n2\n)\n=\n\n\n\n26\n−\n\n\n\n\n\n\n5\n=\n\n\n\n21\n\n\n{\\displaystyle \\varphi (\\,\\,\\,78,\\,\\,\\,3)=\\varphi (\\,\\,\\,78,\\,\\,\\,2)-\\varphi (\\,\\,\\,15,\\,\\,\\,2)=\\,\\,\\,26-\\,\\,\\,\\,\\,\\,5=\\,\\,\\,21}\n\n \n\n\n\n\nφ\n(\n\n\n\n78\n,\n\n\n\n2\n)\n=\nφ\n(\n\n\n\n78\n,\n\n\n\n1\n)\n−\nφ\n(\n\n\n\n26\n,\n\n\n\n1\n)\n=\n\n\n\n39\n−\n\n\n\n13\n=\n\n\n\n26\n\n\n{\\displaystyle \\varphi (\\,\\,\\,78,\\,\\,\\,2)=\\varphi (\\,\\,\\,78,\\,\\,\\,1)-\\varphi (\\,\\,\\,26,\\,\\,\\,1)=\\,\\,\\,39-\\,\\,\\,13=\\,\\,\\,26}\n\n \n\n\n\n\nφ\n(\n\n\n\n15\n,\n\n\n\n2\n)\n=\nφ\n(\n15\n,\n\n\n\n1\n)\n−\nφ\n(\n5\n,\n1\n)\n=\n\n\n\n\n\n\n8\n−\n\n\n\n\n\n\n3\n\n\n{\\displaystyle \\varphi (\\,\\,\\,15,\\,\\,\\,2)=\\varphi (15,\\,\\,\\,1)-\\varphi (5,1)=\\,\\,\\,\\,\\,\\,8-\\,\\,\\,\\,\\,\\,3}\n\n \n\n\n\n\n\n\n\n=\n\n\n{\\displaystyle =}\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n5\n\n\n{\\displaystyle \\,\\,\\,\\,\\,\\,5}\n\n\n\n\n\n\n\n\n\n\n\n\n\nφ\n(\n\n\n\n65\n,\n11\n)\n=\nφ\n(\n\n\n\n65\n,\n10\n)\n−\nφ\n(\n\n\n\n2\n,\n10\n)\n=\n\n\n\n\n\n\n9\n−\n\n\n\n\n\n\n1\n=\n\n\n\n\n\n\n8\n\n\n{\\displaystyle \\varphi (\\,\\,\\,65,11)=\\varphi (\\,\\,\\,65,10)-\\varphi (\\,\\,\\,2,10)=\\,\\,\\,\\,\\,\\,9-\\,\\,\\,\\,\\,\\,1=\\,\\,\\,\\,\\,\\,8}\n\n \n\n\n\n\nφ\n(\n\n\n\n65\n,\n10\n)\n=\nφ\n(\n\n\n\n65\n,\n\n\n\n9\n)\n−\nφ\n(\n\n\n\n2\n,\n\n\n\n9\n)\n=\n\n\n\n10\n−\n\n\n\n\n\n\n1\n=\n\n\n\n\n\n\n9\n\n\n{\\displaystyle \\varphi (\\,\\,\\,65,10)=\\varphi (\\,\\,\\,65,\\,\\,\\,9)-\\varphi (\\,\\,\\,2,\\,\\,\\,9)=\\,\\,\\,10-\\,\\,\\,\\,\\,\\,1=\\,\\,\\,\\,\\,\\,9}\n\n \n\n\n\n\nφ\n(\n\n\n\n65\n,\n\n\n\n9\n)\n=\nφ\n(\n\n\n\n65\n,\n\n\n\n8\n)\n−\nφ\n(\n\n\n\n2\n,\n\n\n\n8\n)\n=\n\n\n\n11\n−\n\n\n\n\n\n\n1\n=\n\n\n\n10\n\n\n{\\displaystyle \\varphi (\\,\\,\\,65,\\,\\,\\,9)=\\varphi (\\,\\,\\,65,\\,\\,\\,8)-\\varphi (\\,\\,\\,2,\\,\\,\\,8)=\\,\\,\\,11-\\,\\,\\,\\,\\,\\,1=\\,\\,\\,10}\n\n \n\n\n\n\nφ\n(\n\n\n\n65\n,\n\n\n\n8\n)\n=\nφ\n(\n\n\n\n65\n,\n\n\n\n7\n)\n−\nφ\n(\n\n\n\n3\n,\n\n\n\n7\n)\n=\n\n\n\n12\n−\n\n\n\n\n\n\n1\n=\n\n\n\n11\n\n\n{\\displaystyle \\varphi (\\,\\,\\,65,\\,\\,\\,8)=\\varphi (\\,\\,\\,65,\\,\\,\\,7)-\\varphi (\\,\\,\\,3,\\,\\,\\,7)=\\,\\,\\,12-\\,\\,\\,\\,\\,\\,1=\\,\\,\\,11}\n\n \n\n\n\n\nφ\n(\n\n\n\n65\n,\n\n\n\n7\n)\n=\nφ\n(\n\n\n\n65\n,\n\n\n\n6\n)\n−\nφ\n(\n\n\n\n3\n,\n\n\n\n6\n)\n=\n\n\n\n13\n−\n\n\n\n\n\n\n1\n=\n\n\n\n12\n\n\n{\\displaystyle \\varphi (\\,\\,\\,65,\\,\\,\\,7)=\\varphi (\\,\\,\\,65,\\,\\,\\,6)-\\varphi (\\,\\,\\,3,\\,\\,\\,6)=\\,\\,\\,13-\\,\\,\\,\\,\\,\\,1=\\,\\,\\,12}\n\n \n\n\n\n\nφ\n(\n\n\n\n65\n,\n\n\n\n6\n)\n=\nφ\n(\n\n\n\n65\n,\n\n\n\n5\n)\n−\nφ\n(\n\n\n\n5\n,\n\n\n\n5\n)\n=\n\n\n\n14\n−\n\n\n\n\n\n\n1\n=\n\n\n\n13\n\n\n{\\displaystyle \\varphi (\\,\\,\\,65,\\,\\,\\,6)=\\varphi (\\,\\,\\,65,\\,\\,\\,5)-\\varphi (\\,\\,\\,5,\\,\\,\\,5)=\\,\\,\\,14-\\,\\,\\,\\,\\,\\,1=\\,\\,\\,13}\n\n \n\n\n\n\nφ\n(\n\n\n\n65\n,\n\n\n\n5\n)\n=\nφ\n(\n\n\n\n65\n,\n\n\n\n4\n)\n−\nφ\n(\n\n\n\n5\n,\n\n\n\n4\n)\n=\n\n\n\n15\n−\n\n\n\n\n\n\n1\n=\n\n\n\n14\n\n\n{\\displaystyle \\varphi (\\,\\,\\,65,\\,\\,\\,5)=\\varphi (\\,\\,\\,65,\\,\\,\\,4)-\\varphi (\\,\\,\\,5,\\,\\,\\,4)=\\,\\,\\,15-\\,\\,\\,\\,\\,\\,1=\\,\\,\\,14}\n\n \n\n\n\n\nφ\n(\n\n\n\n65\n,\n\n\n\n4\n)\n=\nφ\n(\n\n\n\n65\n,\n\n\n\n3\n)\n−\nφ\n(\n\n\n\n9\n,\n\n\n\n3\n)\n=\n\n\n\n17\n−\n\n\n\n\n\n\n2\n=\n\n\n\n15\n\n\n{\\displaystyle \\varphi (\\,\\,\\,65,\\,\\,\\,4)=\\varphi (\\,\\,\\,65,\\,\\,\\,3)-\\varphi (\\,\\,\\,9,\\,\\,\\,3)=\\,\\,\\,17-\\,\\,\\,\\,\\,\\,2=\\,\\,\\,15}\n\n \n\n\n\n\nφ\n(\n\n\n\n65\n,\n\n\n\n3\n)\n=\nφ\n(\n\n\n\n65\n,\n\n\n\n2\n)\n−\nφ\n(\n13\n,\n\n\n\n2\n)\n=\n\n\n\n22\n−\n\n\n\n\n\n\n5\n=\n\n\n\n17\n\n\n{\\displaystyle \\varphi (\\,\\,\\,65,\\,\\,\\,3)=\\varphi (\\,\\,\\,65,\\,\\,\\,2)-\\varphi (13,\\,\\,\\,2)=\\,\\,\\,22-\\,\\,\\,\\,\\,\\,5=\\,\\,\\,17}\n\n \n\n\n\n\nφ\n(\n\n\n\n65\n,\n\n\n\n2\n)\n=\nφ\n(\n\n\n\n65\n,\n\n\n\n1\n)\n−\nφ\n(\n21\n,\n\n\n\n1\n)\n=\n\n\n\n33\n−\n\n\n\n11\n=\n\n\n\n22\n\n\n{\\displaystyle \\varphi (\\,\\,\\,65,\\,\\,\\,2)=\\varphi (\\,\\,\\,65,\\,\\,\\,1)-\\varphi (21,\\,\\,\\,1)=\\,\\,\\,33-\\,\\,\\,11=\\,\\,\\,22}\n\n \n\n\n\n\nφ\n(\n\n\n\n13\n,\n\n\n\n2\n)\n=\nφ\n(\n13\n,\n\n\n\n1\n)\n−\nφ\n(\n4\n,\n1\n)\n=\n\n\n\n\n\n\n7\n−\n\n\n\n\n\n\n2\n\n\n{\\displaystyle \\varphi (\\,\\,\\,13,\\,\\,\\,2)=\\varphi (13,\\,\\,\\,1)-\\varphi (4,1)=\\,\\,\\,\\,\\,\\,7-\\,\\,\\,\\,\\,\\,2}\n\n \n\n\n\n\n\n\n\n=\n\n\n{\\displaystyle =}\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n5\n\n\n{\\displaystyle \\,\\,\\,\\,\\,\\,5}\n\n\n\n\n\n\n\n\n\n\n\n\n\nφ\n(\n\n\n\n9\n,\n\n\n\n3\n)\n=\nφ\n(\n\n\n\n9\n,\n\n\n\n2\n)\n−\nφ\n(\n1\n,\n2\n)\n=\n\n\n\n\n\n\n3\n−\n\n\n\n\n\n\n1\n\n\n{\\displaystyle \\varphi (\\,\\,\\,9,\\,\\,\\,3)=\\varphi (\\,\\,\\,9,\\,\\,\\,2)-\\varphi (1,2)=\\,\\,\\,\\,\\,\\,3-\\,\\,\\,\\,\\,\\,1}\n\n \n\n\n\n\nφ\n(\n\n\n\n9\n,\n\n\n\n2\n)\n=\nφ\n(\n\n\n\n9\n,\n\n\n\n1\n)\n−\nφ\n(\n3\n,\n1\n)\n=\n\n\n\n\n\n\n5\n−\n\n\n\n\n\n\n2\n\n\n{\\displaystyle \\varphi (\\,\\,\\,9,\\,\\,\\,2)=\\varphi (\\,\\,\\,9,\\,\\,\\,1)-\\varphi (3,1)=\\,\\,\\,\\,\\,\\,5-\\,\\,\\,\\,\\,\\,2}\n\n \n\n\n\n\n\n\n\n=\n\n\n{\\displaystyle =}\n\n\n\n\n\n\n=\n\n\n{\\displaystyle =}\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n2\n\n\n{\\displaystyle \\,\\,\\,\\,\\,\\,2}\n\n\n\n\n\n\n\n\n\n\n\n\n3\n\n\n{\\displaystyle \\,\\,\\,\\,\\,\\,3}\n\n\n\n\n\n\n\n\n\n\n\n\n\nφ\n(\n2325\n,\n13\n)\n=\nφ\n(\n2325\n,\n12\n)\n−\nφ\n(\n\n\n\n56\n,\n12\n)\n=\n\n\n\n341\n−\n\n\n\n\n\n\n5\n=\n336\n\n\n{\\displaystyle \\varphi (2325,13)=\\varphi (2325,12)-\\varphi (\\,\\,\\,56,12)=\\,\\,\\,341-\\,\\,\\,\\,\\,\\,5=336}\n\n \n\n\n\n\nφ\n(\n2325\n,\n12\n)\n=\nφ\n(\n2325\n,\n11\n)\n−\nφ\n(\n\n\n\n62\n,\n11\n)\n=\n\n\n\n349\n−\n\n\n\n\n\n\n8\n=\n341\n\n\n{\\displaystyle \\varphi (2325,12)=\\varphi (2325,11)-\\varphi (\\,\\,\\,62,11)=\\,\\,\\,349-\\,\\,\\,\\,\\,\\,8=341}\n\n \n\n\n\n\nφ\n(\n2325\n,\n11\n)\n=\nφ\n(\n2325\n,\n10\n)\n−\nφ\n(\n\n\n\n78\n,\n10\n)\n=\n\n\n\n361\n−\n\n\n\n12\n=\n349\n\n\n{\\displaystyle \\varphi (2325,11)=\\varphi (2325,10)-\\varphi (\\,\\,\\,78,10)=\\,\\,\\,361-\\,\\,\\,12=349}\n\n \n\n\n\n\nφ\n(\n2325\n,\n10\n)\n=\nφ\n(\n2325\n,\n\n\n\n9\n)\n−\nφ\n(\n\n\n\n80\n,\n\n\n\n9\n)\n=\n\n\n\n375\n−\n\n\n\n14\n=\n361\n\n\n{\\displaystyle \\varphi (2325,10)=\\varphi (2325,\\,\\,\\,9)-\\varphi (\\,\\,\\,80,\\,\\,\\,9)=\\,\\,\\,375-\\,\\,\\,14=361}\n\n \n\n\n\n\nφ\n(\n2325\n,\n\n\n\n9\n)\n=\nφ\n(\n2325\n,\n\n\n\n8\n)\n−\nφ\n(\n101\n,\n\n\n\n8\n)\n=\n\n\n\n394\n−\n\n\n\n19\n=\n375\n\n\n{\\displaystyle \\varphi (2325,\\,\\,\\,9)=\\varphi (2325,\\,\\,\\,8)-\\varphi (101,\\,\\,\\,8)=\\,\\,\\,394-\\,\\,\\,19=375}\n\n \n\n\n\n\nφ\n(\n2325\n,\n\n\n\n8\n)\n=\nφ\n(\n2325\n,\n\n\n\n7\n)\n−\nφ\n(\n122\n,\n\n\n\n7\n)\n=\n\n\n\n418\n−\n\n\n\n24\n=\n394\n\n\n{\\displaystyle \\varphi (2325,\\,\\,\\,8)=\\varphi (2325,\\,\\,\\,7)-\\varphi (122,\\,\\,\\,7)=\\,\\,\\,418-\\,\\,\\,24=394}\n\n \n\n\n\n\nφ\n(\n2325\n,\n\n\n\n7\n)\n=\nφ\n(\n2325\n,\n\n\n\n6\n)\n−\nφ\n(\n136\n,\n\n\n\n6\n)\n=\n\n\n\n445\n−\n\n\n\n27\n=\n418\n\n\n{\\displaystyle \\varphi (2325,\\,\\,\\,7)=\\varphi (2325,\\,\\,\\,6)-\\varphi (136,\\,\\,\\,6)=\\,\\,\\,445-\\,\\,\\,27=418}\n\n \n\n\n\n\nφ\n(\n2325\n,\n\n\n\n6\n)\n=\nφ\n(\n2325\n,\n\n\n\n5\n)\n−\nφ\n(\n178\n,\n\n\n\n5\n)\n=\n\n\n\n482\n−\n\n\n\n37\n=\n445\n\n\n{\\displaystyle \\varphi (2325,\\,\\,\\,6)=\\varphi (2325,\\,\\,\\,5)-\\varphi (178,\\,\\,\\,5)=\\,\\,\\,482-\\,\\,\\,37=445}\n\n \n\n\n\n\nφ\n(\n2325\n,\n\n\n\n5\n)\n=\nφ\n(\n2325\n,\n\n\n\n4\n)\n−\nφ\n(\n211\n,\n\n\n\n4\n)\n=\n\n\n\n531\n−\n\n\n\n49\n=\n482\n\n\n{\\displaystyle \\varphi (2325,\\,\\,\\,5)=\\varphi (2325,\\,\\,\\,4)-\\varphi (211,\\,\\,\\,4)=\\,\\,\\,531-\\,\\,\\,49=482}\n\n \n\n\n\n\nφ\n(\n2325\n,\n\n\n\n4\n)\n=\nφ\n(\n2325\n,\n\n\n\n3\n)\n−\nφ\n(\n332\n,\n\n\n\n3\n)\n=\n\n\n\n620\n−\n\n\n\n89\n=\n531\n\n\n{\\displaystyle \\varphi (2325,\\,\\,\\,4)=\\varphi (2325,\\,\\,\\,3)-\\varphi (332,\\,\\,\\,3)=\\,\\,\\,620-\\,\\,\\,89=531}\n\n \n\n\n\nφ\n(\n2325\n,\n\n\n\n3\n)\n=\nφ\n(\n2325\n,\n\n\n\n2\n)\n−\nφ\n(\n465\n,\n\n\n\n2\n)\n=\n\n\n\n775\n−\n155\n=\n620\n\n\n{\\displaystyle \\varphi (2325,\\,\\,\\,3)=\\varphi (2325,\\,\\,\\,2)-\\varphi (465,\\,\\,\\,2)=\\,\\,\\,775-155=620}\n\n \n\n\n\n\nφ\n(\n2325\n,\n\n\n\n2\n)\n=\nφ\n(\n2325\n,\n\n\n\n1\n)\n−\nφ\n(\n775\n,\n\n\n\n1\n)\n=\n1163\n−\n388\n=\n775\n\n\n{\\displaystyle \\varphi (2325,\\,\\,\\,2)=\\varphi (2325,\\,\\,\\,1)-\\varphi (775,\\,\\,\\,1)=1163-388=775}\n\n \n\n\n\n\nφ\n(\n\n\n\n465\n,\n\n\n\n2\n)\n=\nφ\n(\n465\n,\n\n\n\n1\n)\n−\nφ\n(\n155\n,\n1\n)\n=\n233\n−\n\n\n\n78\n\n\n{\\displaystyle \\varphi (\\,\\,\\,465,\\,\\,\\,2)=\\varphi (465,\\,\\,\\,1)-\\varphi (155,1)=233-\\,\\,\\,78}\n\n \n\n\n\n\n\n\n\n=\n\n\n{\\displaystyle =}\n\n\n\n\n\n\n\n\n\n155\n\n\n{\\displaystyle 155}\n\n\n\n\n\n\n\n\n\n\n\n\n\nφ\n(\n\n\n\n332\n,\n\n\n\n3\n)\n=\nφ\n(\n\n\n\n332\n,\n\n\n\n1\n)\n−\nφ\n(\n\n\n\n66\n,\n2\n)\n=\n111\n−\n\n\n\n22\n\n\n{\\displaystyle \\varphi (\\,\\,\\,332,\\,\\,\\,3)=\\varphi (\\,\\,\\,332,\\,\\,\\,1)-\\varphi (\\,\\,\\,66,2)=111-\\,\\,\\,22}\n\n \n\n\n\n\nφ\n(\n\n\n\n332\n,\n\n\n\n2\n)\n=\nφ\n(\n\n\n\n332\n,\n\n\n\n1\n)\n−\nφ\n(\n110\n,\n1\n)\n=\n166\n−\n\n\n\n55\n\n\n{\\displaystyle \\varphi (\\,\\,\\,332,\\,\\,\\,2)=\\varphi (\\,\\,\\,332,\\,\\,\\,1)-\\varphi (110,1)=166-\\,\\,\\,55}\n\n \n\n\n\n\nφ\n(\n66\n,\n\n\n\n2\n)\n=\nφ\n(\n\n\n\n66\n,\n\n\n\n1\n)\n−\nφ\n(\n\n\n\n22\n,\n1\n)\n=\n\n\n\n33\n−\n\n\n\n11\n\n\n{\\displaystyle \\varphi (66,\\,\\,\\,2)=\\varphi (\\,\\,\\,66,\\,\\,\\,1)-\\varphi (\\,\\,\\,22,1)=\\,\\,\\,33-\\,\\,\\,11}\n\n \n\n\n\n\n\n\n\n=\n\n\n{\\displaystyle =}\n\n\n\n\n\n\n=\n\n\n{\\displaystyle =}\n\n\n\n\n\n\n=\n\n\n{\\displaystyle =}\n\n\n\n\n\n\n\n\n\n\n\n\n89\n\n\n{\\displaystyle \\,\\,\\,89}\n\n\n\n\n\n\n111\n\n\n{\\displaystyle 111}\n\n\n\n\n\n\n\n\n\n22\n\n\n{\\displaystyle \\,\\,\\,22}\n\n\n\n\n\n\n\n"}}
	{"gt_parse": {"text_sequance": "\n\n\n\n\n\n\nφ\n(\n211\n,\n\n\n\n4\n)\n=\nφ\n(\n211\n,\n\n\n\n3\n)\n−\nφ\n(\n30\n,\n\n\n\n3\n)\n=\n\n\n\n57\n−\n\n\n\n\n\n\n8\n=\n\n\n\n49\n\n\n{\\displaystyle \\varphi (211,\\,\\,\\,4)=\\varphi (211,\\,\\,\\,3)-\\varphi (30,\\,\\,\\,3)=\\,\\,\\,57-\\,\\,\\,\\,\\,\\,8=\\,\\,\\,49}\n\n \n\n\n\n\nφ\n(\n211\n,\n\n\n\n3\n)\n=\nφ\n(\n211\n,\n\n\n\n2\n)\n−\nφ\n(\n42\n,\n\n\n\n2\n)\n=\n\n\n\n71\n−\n\n\n\n14\n=\n\n\n\n57\n\n\n{\\displaystyle \\varphi (211,\\,\\,\\,3)=\\varphi (211,\\,\\,\\,2)-\\varphi (42,\\,\\,\\,2)=\\,\\,\\,71-\\,\\,\\,14=\\,\\,\\,57}\n\n \n\n\n\n\nφ\n(\n211\n,\n\n\n\n2\n)\n=\nφ\n(\n211\n,\n\n\n\n1\n)\n−\nφ\n(\n70\n,\n\n\n\n1\n)\n=\n106\n−\n\n\n\n35\n=\n\n\n\n71\n\n\n{\\displaystyle \\varphi (211,\\,\\,\\,2)=\\varphi (211,\\,\\,\\,1)-\\varphi (70,\\,\\,\\,1)=106-\\,\\,\\,35=\\,\\,\\,71}\n\n \n\n\n\n\nφ\n(\n\n\n\n42\n,\n\n\n\n2\n)\n=\nφ\n(\n42\n,\n\n\n\n1\n)\n−\nφ\n(\n14\n,\n1\n)\n=\n\n\n\n21\n−\n\n\n\n\n\n\n7\n\n\n{\\displaystyle \\varphi (\\,\\,\\,42,\\,\\,\\,2)=\\varphi (42,\\,\\,\\,1)-\\varphi (14,1)=\\,\\,\\,21-\\,\\,\\,\\,\\,\\,7}\n\n \n\n\n\n\n\n\n\n=\n\n\n{\\displaystyle =}\n\n\n\n\n\n\n\n\n\n\n\n\n14\n\n\n{\\displaystyle \\,\\,\\,14}\n\n\n\n\n\n\n\n\n\n\n\n\nφ\n(\n\n\n\n30\n,\n\n\n\n3\n)\n=\nφ\n(\n\n\n\n30\n,\n\n\n\n2\n)\n−\nφ\n(\n\n\n\n6\n,\n2\n)\n=\n\n\n\n10\n−\n\n\n\n\n\n\n2\n\n\n{\\displaystyle \\varphi (\\,\\,\\,30,\\,\\,\\,3)=\\varphi (\\,\\,\\,30,\\,\\,\\,2)-\\varphi (\\,\\,\\,6,2)=\\,\\,\\,10-\\,\\,\\,\\,\\,\\,2}\n\n \n\n\n\n\nφ\n(\n\n\n\n30\n,\n\n\n\n2\n)\n=\nφ\n(\n\n\n\n30\n,\n\n\n\n1\n)\n−\nφ\n(\n10\n,\n1\n)\n=\n\n\n\n15\n−\n\n\n\n\n\n\n5\n\n\n{\\displaystyle \\varphi (\\,\\,\\,30,\\,\\,\\,2)=\\varphi (\\,\\,\\,30,\\,\\,\\,1)-\\varphi (10,1)=\\,\\,\\,15-\\,\\,\\,\\,\\,\\,5}\n\n \n\n\n\n\nφ\n(\n\n\n\n6\n,\n\n\n\n2\n)\n=\nφ\n(\n\n\n\n6\n,\n\n\n\n1\n)\n−\nφ\n(\n2\n,\n1\n)\n=\n\n\n\n\n\n\n3\n−\n\n\n\n\n\n\n1\n\n\n{\\displaystyle \\varphi (\\,\\,\\,6,\\,\\,\\,2)=\\varphi (\\,\\,\\,6,\\,\\,\\,1)-\\varphi (2,1)=\\,\\,\\,\\,\\,\\,3-\\,\\,\\,\\,\\,\\,1}\n\n \n\n\n\n\n\n\n\n=\n\n\n{\\displaystyle =}\n\n\n\n\n\n\n=\n\n\n{\\displaystyle =}\n\n\n\n\n\n\n=\n\n\n{\\displaystyle =}\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n8\n\n\n{\\displaystyle \\,\\,\\,\\,\\,\\,8}\n\n\n\n\n\n\n\n\n\n10\n\n\n{\\displaystyle \\,\\,\\,10}\n\n\n\n\n\n\n\n\n\n\n\n\n2\n\n\n{\\displaystyle \\,\\,\\,\\,\\,\\,2}\n\n\n\n\n\n\n\n\n\n\n\n\nφ\n(\n178\n,\n\n\n\n5\n)\n=\nφ\n(\n178\n,\n\n\n\n4\n)\n−\nφ\n(\n16\n,\n\n\n\n4\n)\n=\n\n\n\n40\n−\n\n\n\n\n\n\n3\n=\n\n\n\n37\n\n\n{\\displaystyle \\varphi (178,\\,\\,\\,5)=\\varphi (178,\\,\\,\\,4)-\\varphi (16,\\,\\,\\,4)=\\,\\,\\,40-\\,\\,\\,\\,\\,\\,3=\\,\\,\\,37}\n\n \n\n\n\n\nφ\n(\n178\n,\n\n\n\n4\n)\n=\nφ\n(\n178\n,\n\n\n\n3\n)\n−\nφ\n(\n25\n,\n\n\n\n3\n)\n=\n\n\n\n47\n−\n\n\n\n\n\n\n7\n=\n\n\n\n40\n\n\n{\\displaystyle \\varphi (178,\\,\\,\\,4)=\\varphi (178,\\,\\,\\,3)-\\varphi (25,\\,\\,\\,3)=\\,\\,\\,47-\\,\\,\\,\\,\\,\\,7=\\,\\,\\,40}\n\n \n\n\n\n\nφ\n(\n178\n,\n\n\n\n3\n)\n=\nφ\n(\n178\n,\n\n\n\n2\n)\n−\nφ\n(\n35\n,\n\n\n\n2\n)\n=\n\n\n\n59\n−\n\n\n\n12\n=\n\n\n\n47\n\n\n{\\displaystyle \\varphi (178,\\,\\,\\,3)=\\varphi (178,\\,\\,\\,2)-\\varphi (35,\\,\\,\\,2)=\\,\\,\\,59-\\,\\,\\,12=\\,\\,\\,47}\n\n \n\n\n\n\nφ\n(\n178\n,\n\n\n\n2\n)\n=\nφ\n(\n178\n,\n\n\n\n1\n)\n−\nφ\n(\n59\n,\n\n\n\n1\n)\n=\n\n\n\n89\n−\n\n\n\n30\n=\n\n\n\n59\n\n\n{\\displaystyle \\varphi (178,\\,\\,\\,2)=\\varphi (178,\\,\\,\\,1)-\\varphi (59,\\,\\,\\,1)=\\,\\,\\,89-\\,\\,\\,30=\\,\\,\\,59}\n\n \n\n\n\n\nφ\n(\n\n\n\n35\n,\n\n\n\n2\n)\n=\nφ\n(\n35\n,\n\n\n\n1\n)\n−\nφ\n(\n11\n,\n1\n)\n=\n\n\n\n18\n−\n\n\n\n\n\n\n6\n\n\n{\\displaystyle \\varphi (\\,\\,\\,35,\\,\\,\\,2)=\\varphi (35,\\,\\,\\,1)-\\varphi (11,1)=\\,\\,\\,18-\\,\\,\\,\\,\\,\\,6}\n\n \n\n\n\n\n\n\n\n=\n\n\n{\\displaystyle =}\n\n\n\n\n\n\n\n\n\n\n\n\n12\n\n\n{\\displaystyle \\,\\,\\,12}\n\n\n\n\n\n\n\n\n\n\n\n\n\nφ\n(\n\n\n\n25\n,\n\n\n\n3\n)\n=\nφ\n(\n\n\n\n25\n,\n\n\n\n2\n)\n−\nφ\n(\n\n\n\n5\n,\n2\n)\n=\n\n\n\n\n\n\n9\n−\n\n\n\n\n\n\n2\n\n\n{\\displaystyle \\varphi (\\,\\,\\,25,\\,\\,\\,3)=\\varphi (\\,\\,\\,25,\\,\\,\\,2)-\\varphi (\\,\\,\\,5,2)=\\,\\,\\,\\,\\,\\,9-\\,\\,\\,\\,\\,\\,2}\n\n \n\n\n\n\nφ\n(\n\n\n\n25\n,\n\n\n\n2\n)\n=\nφ\n(\n\n\n\n25\n,\n\n\n\n1\n)\n−\nφ\n(\n\n\n\n8\n,\n1\n)\n=\n\n\n\n\n13\n−\n\n\n\n\n\n\n2\n\n\n{\\displaystyle \\varphi (\\,\\,\\,25,\\,\\,\\,2)=\\varphi (\\,\\,\\,25,\\,\\,\\,1)-\\varphi (\\,\\,\\,8,1)=\\,\\,\\,\\,13-\\,\\,\\,\\,\\,\\,2}\n\n \n\n\n\n\nφ\n(\n\n\n\n5\n,\n\n\n\n2\n)\n=\nφ\n(\n\n\n\n5\n,\n\n\n\n1\n)\n−\nφ\n(\n\n\n\n1\n,\n1\n)\n=\n\n\n\n\n\n\n3\n−\n\n\n\n\n\n\n1\n\n\n{\\displaystyle \\varphi (\\,\\,\\,5,\\,\\,\\,2)=\\varphi (\\,\\,\\,5,\\,\\,\\,1)-\\varphi (\\,\\,\\,1,1)=\\,\\,\\,\\,\\,\\,3-\\,\\,\\,\\,\\,\\,1}\n\n \n\n\n\n\n\n\n\n=\n\n\n{\\displaystyle =}\n\n\n\n\n\n\n=\n\n\n{\\displaystyle =}\n\n\n\n\n\n\n=\n\n\n{\\displaystyle =}\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n7\n\n\n{\\displaystyle \\,\\,\\,\\,\\,\\,7}\n\n\n\n\n\n\n\n\n\n\n\n\n9\n\n\n{\\displaystyle \\,\\,\\,\\,\\,\\,9}\n\n\n\n\n\n\n\n\n\n\n\n\n2\n\n\n{\\displaystyle \\,\\,\\,\\,\\,\\,2}\n\n\n\n\n\n\n\n\n\n\n\n\n\nφ\n(\n\n\n\n16\n,\n\n\n\n4\n)\n=\nφ\n(\n\n\n\n16\n,\n\n\n\n3\n)\n−\nφ\n(\n\n\n\n2\n,\n3\n)\n=\n\n\n\n\n\n\n4\n−\n\n\n\n\n\n\n1\n\n\n{\\displaystyle \\varphi (\\,\\,\\,16,\\,\\,\\,4)=\\varphi (\\,\\,\\,16,\\,\\,\\,3)-\\varphi (\\,\\,\\,2,3)=\\,\\,\\,\\,\\,\\,4-\\,\\,\\,\\,\\,\\,1}\n\n \n\n\n\n\nφ\n(\n\n\n\n16\n,\n\n\n\n3\n)\n=\nφ\n(\n\n\n\n16\n,\n\n\n\n2\n)\n−\nφ\n(\n\n\n\n3\n,\n2\n)\n=\n\n\n\n\n\n\n5\n−\n\n\n\n\n\n\n1\n\n\n{\\displaystyle \\varphi (\\,\\,\\,16,\\,\\,\\,3)=\\varphi (\\,\\,\\,16,\\,\\,\\,2)-\\varphi (\\,\\,\\,3,2)=\\,\\,\\,\\,\\,\\,5-\\,\\,\\,\\,\\,\\,1}\n\n \n\n\n\n\nφ\n(\n\n\n\n16\n,\n\n\n\n2\n)\n=\nφ\n(\n\n\n\n16\n,\n\n\n\n1\n)\n−\nφ\n(\n\n\n\n5\n,\n1\n)\n=\n\n\n\n\n\n\n8\n−\n\n\n\n\n\n\n3\n\n\n{\\displaystyle \\varphi (\\,\\,\\,16,\\,\\,\\,2)=\\varphi (\\,\\,\\,16,\\,\\,\\,1)-\\varphi (\\,\\,\\,5,1)=\\,\\,\\,\\,\\,\\,8-\\,\\,\\,\\,\\,\\,3}\n\n \n\n\n\n\n\n\n\n=\n\n\n{\\displaystyle =}\n\n\n\n\n\n\n=\n\n\n{\\displaystyle =}\n\n\n\n\n\n\n=\n\n\n{\\displaystyle =}\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n3\n\n\n{\\displaystyle \\,\\,\\,\\,\\,\\,3}\n\n\n\n\n\n\n\n\n\n\n\n\n4\n\n\n{\\displaystyle \\,\\,\\,\\,\\,\\,4}\n\n\n\n\n\n\n\n\n\n\n\n\n5\n\n\n{\\displaystyle \\,\\,\\,\\,\\,\\,5}\n\n\n\n\n\n\n\n\n\n\n\n\n\nφ\n(\n136\n,\n\n\n\n6\n)\n=\nφ\n(\n136\n,\n\n\n\n5\n)\n−\nφ\n(\n10\n,\n\n\n\n5\n)\n=\n\n\n\n28\n−\n\n\n\n\n\n\n1\n=\n\n\n\n27\n\n\n{\\displaystyle \\varphi (136,\\,\\,\\,6)=\\varphi (136,\\,\\,\\,5)-\\varphi (10,\\,\\,\\,5)=\\,\\,\\,28-\\,\\,\\,\\,\\,\\,1=\\,\\,\\,27}\n\n \n\n\n\n\nφ\n(\n136\n,\n\n\n\n5\n)\n=\nφ\n(\n136\n,\n\n\n\n4\n)\n−\nφ\n(\n12\n,\n\n\n\n4\n)\n=\n\n\n\n30\n−\n\n\n\n\n\n\n2\n=\n\n\n\n28\n\n\n{\\displaystyle \\varphi (136,\\,\\,\\,5)=\\varphi (136,\\,\\,\\,4)-\\varphi (12,\\,\\,\\,4)=\\,\\,\\,30-\\,\\,\\,\\,\\,\\,2=\\,\\,\\,28}\n\n \n\n\n\n\nφ\n(\n136\n,\n\n\n\n4\n)\n=\nφ\n(\n136\n,\n\n\n\n3\n)\n−\nφ\n(\n19\n,\n\n\n\n3\n)\n=\n\n\n\n36\n−\n\n\n\n\n\n\n6\n=\n\n\n\n30\n\n\n{\\displaystyle \\varphi (136,\\,\\,\\,4)=\\varphi (136,\\,\\,\\,3)-\\varphi (19,\\,\\,\\,3)=\\,\\,\\,36-\\,\\,\\,\\,\\,\\,6=\\,\\,\\,30}\n\n \n\n\n\n\nφ\n(\n136\n,\n\n\n\n3\n)\n=\nφ\n(\n136\n,\n\n\n\n2\n)\n−\nφ\n(\n27\n,\n\n\n\n2\n)\n=\n\n\n\n45\n−\n\n\n\n\n\n\n9\n=\n\n\n\n36\n\n\n{\\displaystyle \\varphi (136,\\,\\,\\,3)=\\varphi (136,\\,\\,\\,2)-\\varphi (27,\\,\\,\\,2)=\\,\\,\\,45-\\,\\,\\,\\,\\,\\,9=\\,\\,\\,36}\n\n \n\n\n\n\nφ\n(\n136\n,\n\n\n\n2\n)\n=\nφ\n(\n136\n,\n\n\n\n1\n)\n−\nφ\n(\n45\n,\n\n\n\n1\n)\n=\n\n\n\n68\n−\n\n\n\n23\n=\n\n\n\n45\n\n\n{\\displaystyle \\varphi (136,\\,\\,\\,2)=\\varphi (136,\\,\\,\\,1)-\\varphi (45,\\,\\,\\,1)=\\,\\,\\,68-\\,\\,\\,23=\\,\\,\\,45}\n\n \n\n\n\n\nφ\n(\n27\n,\n2\n)\n=\nφ\n(\n27\n,\n1\n)\n−\nφ\n(\n9\n,\n\n\n\n1\n)\n=\n\n\n\n14\n−\n\n\n\n\n\n\n5\n\n\n{\\displaystyle \\varphi (27,2)=\\varphi (27,1)-\\varphi (9,\\,\\,\\,1)=\\,\\,\\,14-\\,\\,\\,\\,\\,\\,5}\n\n \n\n\n\n\nφ\n(\n19\n,\n3\n)\n=\nφ\n(\n19\n,\n2\n)\n−\nφ\n(\n3\n,\n\n\n\n2\n)\n=\n\n\n\n\n\n\n7\n−\n\n\n\n\n\n\n1\n\n\n{\\displaystyle \\varphi (19,3)=\\varphi (19,2)-\\varphi (3,\\,\\,\\,2)=\\,\\,\\,\\,\\,\\,7-\\,\\,\\,\\,\\,\\,1}\n\n \n\n\n\n\nφ\n(\n19\n,\n2\n)\n=\nφ\n(\n19\n,\n1\n)\n−\nφ\n(\n6\n,\n\n\n\n1\n)\n=\n\n\n\n10\n−\n\n\n\n\n\n\n3\n\n\n{\\displaystyle \\varphi (19,2)=\\varphi (19,1)-\\varphi (6,\\,\\,\\,1)=\\,\\,\\,10-\\,\\,\\,\\,\\,\\,3}\n\n \n\n\n\n\n\n\n\n=\n\n\n{\\displaystyle =}\n\n\n\n\n\n\n=\n\n\n{\\displaystyle =}\n\n\n\n\n\n\n=\n\n\n{\\displaystyle =}\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n9\n\n\n{\\displaystyle \\,\\,\\,\\,\\,\\,9}\n\n\n\n\n\n\n\n\n\n\n\n\n6\n\n\n{\\displaystyle \\,\\,\\,\\,\\,\\,6}\n\n\n\n\n\n\n\n\n\n\n\n\n7\n\n\n{\\displaystyle \\,\\,\\,\\,\\,\\,7}\n\n\n\n\n\n\n\n\n\n\n\n\n\nφ\n(\n12\n,\n4\n)\n=\nφ\n(\n12\n,\n3\n)\n−\nφ\n(\n1\n,\n\n\n\n3\n)\n=\n\n\n\n\n\n\n3\n−\n\n\n\n\n\n\n1\n\n\n{\\displaystyle \\varphi (12,4)=\\varphi (12,3)-\\varphi (1,\\,\\,\\,3)=\\,\\,\\,\\,\\,\\,3-\\,\\,\\,\\,\\,\\,1}\n\n \n\n\n\n\nφ\n(\n12\n,\n3\n)\n=\nφ\n(\n12\n,\n2\n)\n−\nφ\n(\n2\n,\n\n\n\n2\n)\n=\n\n\n\n\n\n\n4\n−\n\n\n\n\n\n\n1\n\n\n{\\displaystyle \\varphi (12,3)=\\varphi (12,2)-\\varphi (2,\\,\\,\\,2)=\\,\\,\\,\\,\\,\\,4-\\,\\,\\,\\,\\,\\,1}\n\n \n\n\n\n\nφ\n(\n12\n,\n2\n)\n=\nφ\n(\n12\n,\n1\n)\n−\nφ\n(\n4\n,\n\n\n\n1\n)\n=\n\n\n\n\n\n\n6\n−\n\n\n\n\n\n\n3\n\n\n{\\displaystyle \\varphi (12,2)=\\varphi (12,1)-\\varphi (4,\\,\\,\\,1)=\\,\\,\\,\\,\\,\\,6-\\,\\,\\,\\,\\,\\,3}\n\n \n\n\n\n\n\n\n\n=\n\n\n{\\displaystyle =}\n\n\n\n\n\n\n=\n\n\n{\\displaystyle =}\n\n\n\n\n\n\n=\n\n\n{\\displaystyle =}\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n2\n\n\n{\\displaystyle \\,\\,\\,\\,\\,\\,2}\n\n\n\n\n\n\n\n\n\n\n\n\n3\n\n\n{\\displaystyle \\,\\,\\,\\,\\,\\,3}\n\n\n\n\n\n\n\n\n\n\n\n\n4\n\n\n{\\displaystyle \\,\\,\\,\\,\\,\\,4}\n\n\n\n\n\n\n\n\n\n\n\n\n\nφ\n(\n122\n,\n\n\n\n7\n)\n=\nφ\n(\n136\n,\n\n\n\n6\n)\n−\nφ\n(\n\n\n\n7\n,\n\n\n\n6\n)\n=\n\n\n\n25\n−\n\n\n\n\n\n\n1\n=\n\n\n\n24\n\n\n{\\displaystyle \\varphi (122,\\,\\,\\,7)=\\varphi (136,\\,\\,\\,6)-\\varphi (\\,\\,\\,7,\\,\\,\\,6)=\\,\\,\\,25-\\,\\,\\,\\,\\,\\,1=\\,\\,\\,24}\n\n \n\n\n\n\nφ\n(\n122\n,\n\n\n\n6\n)\n=\nφ\n(\n136\n,\n\n\n\n5\n)\n−\nφ\n(\n\n\n\n9\n,\n\n\n\n5\n)\n=\n\n\n\n26\n−\n\n\n\n\n\n\n1\n=\n\n\n\n25\n\n\n{\\displaystyle \\varphi (122,\\,\\,\\,6)=\\varphi (136,\\,\\,\\,5)-\\varphi (\\,\\,\\,9,\\,\\,\\,5)=\\,\\,\\,26-\\,\\,\\,\\,\\,\\,1=\\,\\,\\,25}\n\n \n\n\n\n\nφ\n(\n122\n,\n\n\n\n5\n)\n=\nφ\n(\n136\n,\n\n\n\n4\n)\n−\nφ\n(\n11\n,\n\n\n\n4\n)\n=\n\n\n\n28\n−\n\n\n\n\n\n\n2\n=\n\n\n\n26\n\n\n{\\displaystyle \\varphi (122,\\,\\,\\,5)=\\varphi (136,\\,\\,\\,4)-\\varphi (11,\\,\\,\\,4)=\\,\\,\\,28-\\,\\,\\,\\,\\,\\,2=\\,\\,\\,26}\n\n \n\n\n\n\nφ\n(\n122\n,\n\n\n\n4\n)\n=\nφ\n(\n136\n,\n\n\n\n3\n)\n−\nφ\n(\n17\n,\n\n\n\n3\n)\n=\n\n\n\n33\n−\n\n\n\n\n\n\n5\n=\n\n\n\n28\n\n\n{\\displaystyle \\varphi (122,\\,\\,\\,4)=\\varphi (136,\\,\\,\\,3)-\\varphi (17,\\,\\,\\,3)=\\,\\,\\,33-\\,\\,\\,\\,\\,\\,5=\\,\\,\\,28}\n\n \n\n\n\n\nφ\n(\n122\n,\n\n\n\n3\n)\n=\nφ\n(\n136\n,\n\n\n\n2\n)\n−\nφ\n(\n24\n,\n\n\n\n2\n)\n=\n\n\n\n41\n−\n\n\n\n\n\n\n8\n=\n\n\n\n33\n\n\n{\\displaystyle \\varphi (122,\\,\\,\\,3)=\\varphi (136,\\,\\,\\,2)-\\varphi (24,\\,\\,\\,2)=\\,\\,\\,41-\\,\\,\\,\\,\\,\\,8=\\,\\,\\,33}\n\n \n\n\n\n\nφ\n(\n122\n,\n\n\n\n2\n)\n=\nφ\n(\n136\n,\n\n\n\n1\n)\n−\nφ\n(\n40\n,\n\n\n\n1\n)\n=\n\n\n\n61\n−\n\n\n\n20\n=\n\n\n\n41\n\n\n{\\displaystyle \\varphi (122,\\,\\,\\,2)=\\varphi (136,\\,\\,\\,1)-\\varphi (40,\\,\\,\\,1)=\\,\\,\\,61-\\,\\,\\,20=\\,\\,\\,41}\n\n \n\n\n\n\nφ\n(\n24\n,\n2\n)\n=\nφ\n(\n24\n,\n\n\n\n1\n)\n−\nφ\n(\n8\n,\n1\n)\n=\n\n\n\n12\n−\n\n\n\n\n\n\n4\n\n\n{\\displaystyle \\varphi (24,2)=\\varphi (24,\\,\\,\\,1)-\\varphi (8,1)=\\,\\,\\,12-\\,\\,\\,\\,\\,\\,4}\n\n \n\n\n\n\n\n\n\n=\n\n\n{\\displaystyle =}\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n8\n\n\n{\\displaystyle \\,\\,\\,\\,\\,\\,8}\n\n\n\n\n\n\n\n"}}

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