Problem:


Score : 300 points

Problem Statement

Let f(n) be the number of triples of integers (x,y,z) that satisfy both of the following conditions:

1 \leq x,y,z

x^2 + y^2 + z^2 + xy + yz + zx = n

Given an integer N, find each of f(1),f(2),f(3),\ldots,f(N).

Constraints

All values in input are integers.

1 \leq N \leq 10^4

Input

Input is given from Standard Input in the following format:

N

Output

Print N lines. The i-th line should contain the value f(i).

Sample Input 1

20

Sample Output 1

0
0
0
0
0
1
0
0
0
0
3
0
0
0
0
0
3
3
0
0

For n=6, only (1,1,1) satisfies both of the conditions. Thus, f(6) = 1.

For n=11, three triples, (1,1,2), (1,2,1), and (2,1,1), satisfy both of the conditions. Thus, f(6) = 3.

For n=17, three triples, (1,2,2), (2,1,2), and (2,2,1), satisfy both of the conditions. Thus, f(17) = 3.

For n=18, three triples, (1,1,3), (1,3,1), and (3,1,1), satisfy both of the conditions. Thus, f(18) = 3.



Sample input:
20


Sample output:
0
0
0
0
0
1
0
0
0
0
3
0
0
0
0
0
3
3
0
0

Submission status: Accepted

Solution code:
n=int(input())
d={6: 1, 11: 3, 18: 3, 27: 3, 38: 3, 51: 3, 66: 3, 83: 9, 102: 3, 123: 9, 146: 3, 171: 12, 198: 6, 227: 3, 258: 9, 291: 9, 326: 3, 363: 9, 402: 9, 443: 9, 486: 4, 531: 12, 578: 9, 627: 21, 678: 9, 731: 9, 786: 3, 843: 33, 902: 6, 963: 12, 1026: 9, 1091: 9, 1158: 15, 1227: 9, 1298: 18, 1371: 21, 1446: 3, 1523: 21, 1602: 18, 1683: 54, 1766: 9, 1851: 27, 1938: 12, 2027: 27, 2118: 9, 2211: 12, 2306: 15, 2403: 57, 2502: 12, 2603: 24, 2706: 12, 2811: 15, 2918: 9, 3027: 45, 3138: 15, 3251: 15, 3366: 12, 3483: 39, 3602: 15, 3723: 54, 3846: 15, 3971: 27, 4098: 15, 4227: 57, 4358: 15, 4491: 42, 4626: 30, 4763: 30, 4902: 12, 5043: 45, 5186: 9, 5331: 21, 5478: 15, 5627: 27, 5778: 39, 5931: 24, 6086: 9, 6243: 45, 6402: 18, 6563: 39, 6726: 21, 6891: 33, 7058: 21, 7227: 72, 7398: 33, 7571: 15, 7746: 15, 7923: 87, 8102: 9, 8283: 45, 8466: 30, 8651: 27, 8838: 36, 9027: 84, 9218: 24, 9411: 39, 9606: 15, 9803: 33, 10002: 45, 17: 3, 25: 6, 35: 6, 47: 6, 61: 6, 77: 6, 95: 6, 115: 12, 137: 12, 161: 6, 187: 15, 215: 12, 245: 12, 277: 12, 311: 12, 347: 12, 385: 18, 425: 9, 467: 21, 511: 12, 557: 12, 605: 24, 655: 12, 707: 18, 761: 9, 817: 39, 875: 18, 935: 12, 997: 30, 1061: 6, 1127: 18, 1195: 30, 1265: 18, 1337: 24, 1411: 30, 1487: 30, 1565: 18, 1645: 36, 1727: 24, 1811: 21, 1897: 42, 1985: 18, 2075: 27, 2167: 48, 2261: 24, 2357: 24, 2455: 48, 2555: 30, 2657: 15, 2761: 33, 2867: 24, 2975: 36, 3085: 54, 3197: 42, 3311: 24, 3427: 42, 3545: 24, 3665: 24, 3787: 66, 3911: 24, 4037: 36, 4165: 48, 4295: 48, 4427: 36, 4561: 27, 4697: 36, 4835: 36, 4975: 78, 5117: 36, 5261: 24, 5407: 84, 5555: 30, 5705: 42, 5857: 102, 6011: 33, 6167: 36, 6325: 72, 6485: 60, 6647: 36, 6811: 39, 6977: 51, 7145: 30, 7315: 48, 7487: 12, 7661: 42, 7837: 84, 8015: 54, 8195: 42, 8377: 117, 8561: 36, 8747: 69, 8935: 84, 9125: 42, 9317: 66, 9511: 54, 9707: 57, 9905: 42, 10105: 54, 34: 3, 45: 6, 58: 6, 73: 6, 90: 6, 109: 6, 130: 6, 153: 12, 178: 6, 205: 12, 234: 6, 265: 12, 298: 12, 333: 18, 370: 12, 409: 12, 450: 9, 493: 30, 538: 18, 585: 12, 634: 6, 685: 24, 738: 12, 793: 24, 850: 15, 909: 12, 970: 12, 1033: 33, 1098: 18, 1165: 30, 1234: 9, 1305: 42, 1378: 24, 1453: 30, 1530: 12, 1609: 33, 1690: 12, 1773: 24, 1858: 24, 1945: 54, 2034: 18, 2125: 36, 2218: 30, 2313: 36, 2410: 24, 2509: 30, 2610: 24, 2713: 36, 2818: 27, 2925: 48, 3034: 24, 3145: 30, 3258: 30, 3373: 60, 3490: 24, 3609: 42, 3730: 30, 3853: 54, 3978: 30, 4105: 54, 4234: 18, 4365: 36, 4498: 24, 4633: 75, 4770: 24, 4909: 30, 5050: 42, 5193: 84, 5338: 36, 5485: 36, 5634: 24, 5785: 60, 5938: 33, 6093: 66, 6250: 30, 6409: 42, 6570: 24, 6733: 102, 6898: 54, 7065: 54, 7234: 39, 7405: 90, 7578: 24, 7753: 111, 7930: 24, 8109: 42, 8290: 30, 8473: 78, 8658: 48, 8845: 54, 9034: 18, 9225: 96, 9418: 48, 9613: 90, 9810: 54, 10009: 66, 10210: 48, 57: 6, 71: 6, 87: 6, 105: 6, 125: 6, 147: 6, 197: 12, 225: 12, 255: 12, 287: 12, 321: 12, 357: 18, 395: 12, 435: 6, 477: 18, 521: 6, 567: 24, 615: 12, 665: 12, 717: 24, 771: 9, 827: 21, 885: 24, 945: 18, 1007: 24, 1071: 30, 1137: 27, 1205: 6, 1275: 21, 1347: 39, 1421: 12, 1497: 48, 1575: 30, 1655: 24, 1737: 36, 1821: 12, 1907: 24, 1995: 24, 2085: 30, 2177: 30, 2271: 24, 2367: 36, 2465: 18, 2565: 36, 2667: 42, 2771: 30, 2877: 18, 2985: 30, 3095: 30, 3207: 30, 3321: 39, 3437: 36, 3555: 36, 3675: 42, 3797: 30, 3921: 33, 4047: 30, 4175: 30, 4305: 36, 4437: 78, 4571: 12, 4707: 66, 4845: 36, 4985: 24, 5127: 60, 5271: 36, 5417: 42, 5565: 30, 5715: 60, 5867: 33, 6021: 36, 6177: 54, 6335: 42, 6495: 60, 6657: 48, 6821: 36, 6987: 60, 7155: 66, 7325: 36, 7497: 78, 7671: 36, 7847: 42, 8025: 72, 8205: 30, 8387: 57, 8571: 27, 8757: 114, 8945: 36, 9135: 60, 9327: 66, 9521: 39, 9717: 72, 9915: 66, 10115: 30, 10317: 60, 86: 3, 103: 12, 122: 6, 143: 6, 166: 6, 191: 6, 218: 6, 247: 12, 278: 6, 346: 6, 383: 18, 422: 9, 463: 18, 506: 6, 551: 6, 598: 12, 647: 18, 698: 12, 751: 12, 806: 6, 863: 18, 922: 18, 983: 24, 1046: 6, 1111: 30, 1178: 12, 1247: 18, 1318: 9, 1391: 24, 1466: 12, 1543: 42, 1622: 15, 1703: 30, 1786: 24, 1871: 18, 1958: 9, 2047: 54, 2138: 18, 2231: 18, 2326: 9, 2423: 18, 2522: 18, 2623: 48, 2726: 12, 2831: 24, 2938: 36, 3047: 30, 3158: 15, 3271: 30, 3386: 18, 3503: 42, 3622: 27, 3743: 36, 3866: 6, 3991: 36, 4118: 12, 4247: 36, 4378: 30, 4511: 24, 4646: 18, 4783: 54, 4922: 24, 5063: 36, 5206: 18, 5351: 42, 5498: 18, 5647: 84, 5798: 18, 5951: 36, 6106: 24, 6263: 24, 6422: 27, 6583: 120, 6746: 12, 6911: 42, 7078: 27, 7247: 42, 7418: 24, 7591: 60, 7766: 9, 7943: 60, 8122: 36, 8303: 48, 8486: 6, 8671: 90, 8858: 48, 9047: 48, 9238: 42, 9431: 42, 9626: 18, 9823: 90, 10022: 21, 10223: 66, 10426: 36, 121: 3, 141: 6, 163: 12, 213: 6, 241: 9, 271: 12, 303: 12, 337: 12, 373: 12, 411: 12, 451: 15, 537: 15, 583: 18, 631: 18, 681: 15, 733: 24, 787: 27, 901: 18, 961: 18, 1023: 24, 1087: 24, 1153: 30, 1221: 18, 1291: 21, 1363: 30, 1437: 24, 1513: 27, 1591: 6, 1671: 18, 1753: 51, 1837: 54, 1923: 39, 2011: 27, 2101: 30, 2193: 21, 2287: 48, 2383: 36, 2481: 33, 2581: 36, 2683: 51, 2787: 33, 2893: 48, 3001: 39, 3111: 18, 3223: 54, 3337: 60, 3453: 48, 3571: 18, 3691: 27, 3813: 24, 3937: 60, 4063: 78, 4191: 48, 4321: 36, 4453: 66, 4587: 36, 4723: 63, 4861: 42, 5001: 39, 5143: 78, 5287: 54, 5433: 57, 5581: 36, 5731: 54, 5883: 72, 6037: 108, 6193: 105, 6351: 18, 6511: 36, 6673: 60, 6837: 36, 7003: 84, 7171: 54, 7341: 36, 7513: 63, 7687: 84, 7863: 72, 8041: 66, 8221: 72, 8403: 63, 8587: 90, 8773: 78, 8961: 24, 9151: 48, 9343: 102, 9537: 75, 9733: 138, 9931: 69, 10131: 36, 10333: 90, 10537: 63, 162: 6, 185: 6, 210: 6, 237: 12, 266: 6, 297: 21, 330: 6, 365: 12, 441: 12, 482: 6, 525: 24, 570: 12, 617: 15, 666: 12, 770: 6, 825: 21, 882: 15, 941: 6, 1002: 12, 1065: 18, 1130: 12, 1197: 24, 1266: 15, 1410: 12, 1485: 18, 1562: 12, 1641: 15, 1722: 18, 1805: 18, 1890: 24, 1977: 27, 2066: 12, 2157: 30, 2250: 30, 2345: 30, 2442: 18, 2541: 24, 2642: 9, 2745: 36, 2850: 15, 2957: 36, 3066: 6, 3177: 60, 3290: 12, 3405: 24, 3522: 9, 3641: 15, 3762: 39, 3885: 36, 4010: 30, 4137: 60, 4266: 18, 4397: 30, 4530: 30, 4665: 42, 4802: 24, 4941: 42, 5082: 24, 5225: 33, 5370: 18, 5517: 60, 5666: 27, 5817: 54, 5970: 12, 6125: 54, 6282: 36, 6441: 39, 6602: 24, 6765: 54, 6930: 18, 7097: 60, 7266: 24, 7437: 48, 7610: 24, 7785: 60, 7962: 36, 8141: 36, 8322: 33, 8505: 60, 8690: 42, 8877: 54, 9066: 12, 9257: 42, 9450: 42, 9645: 60, 9842: 36, 10041: 63, 10242: 54, 10445: 30, 10650: 30, 209: 9, 235: 12, 263: 6, 293: 6, 325: 18, 359: 12, 433: 27, 473: 15, 515: 6, 559: 12, 653: 12, 703: 12, 755: 18, 809: 6, 865: 18, 923: 12, 1045: 36, 1109: 12, 1175: 24, 1243: 33, 1313: 24, 1385: 18, 1459: 18, 1535: 12, 1613: 18, 1693: 36, 1775: 18, 1859: 21, 2033: 42, 2123: 27, 2215: 42, 2309: 18, 2405: 12, 2503: 42, 2705: 30, 2809: 30, 2915: 30, 3023: 36, 3133: 42, 3245: 24, 3359: 30, 3475: 63, 3593: 9, 3713: 36, 3835: 54, 3959: 24, 4085: 30, 4213: 60, 4343: 48, 4475: 15, 4609: 63, 4745: 24, 4883: 30, 5023: 42, 5165: 24, 5309: 30, 5455: 42, 5603: 48, 5753: 33, 5905: 60, 6059: 18, 6215: 24, 6373: 90, 6533: 24, 6695: 42, 6859: 63, 7025: 36, 7193: 45, 7363: 96, 7535: 60, 7709: 30, 7885: 78, 8063: 36, 8243: 57, 8425: 54, 8609: 27, 8795: 54, 8983: 54, 9173: 42, 9365: 54, 9559: 42, 9755: 36, 9953: 66, 10153: 132, 10355: 48, 10559: 30, 10765: 84, 262: 3, 322: 12, 355: 18, 390: 6, 427: 18, 466: 6, 507: 18, 550: 6, 595: 24, 642: 9, 691: 21, 742: 12, 795: 12, 907: 24, 966: 6, 1027: 30, 1090: 18, 1155: 12, 1222: 12, 1362: 18, 1435: 18, 1510: 12, 1587: 30, 1666: 15, 1747: 48, 1830: 6, 1915: 30, 2002: 18, 2091: 33, 2182: 18, 2275: 42, 2370: 12, 2467: 54, 2566: 9, 2770: 30, 2875: 60, 2982: 24, 3091: 15, 3202: 30, 3315: 12, 3430: 18, 3547: 75, 3666: 12, 3910: 12, 4035: 48, 4162: 27, 4291: 24, 4422: 21, 4555: 78, 4690: 36, 4827: 51, 4966: 24, 5107: 75, 5250: 18, 5395: 54, 5542: 30, 5691: 36, 5842: 36, 5995: 60, 6150: 15, 6307: 78, 6466: 30, 6627: 48, 6790: 18, 6955: 66, 7122: 54, 7291: 54, 7462: 30, 7635: 60, 7810: 30, 7987: 96, 8166: 9, 8347: 93, 8530: 42, 8715: 54, 8902: 33, 9091: 69, 9282: 36, 9475: 87, 9670: 30, 9867: 54, 10066: 30, 10267: 117, 10470: 30, 10675: 126, 10882: 39, 353: 15, 387: 12, 423: 18, 461: 18, 501: 6, 543: 18, 587: 12, 633: 9, 783: 36, 837: 24, 893: 12, 951: 12, 1011: 9, 1073: 18, 1203: 36, 1271: 6, 1341: 18, 1413: 30, 1563: 24, 1721: 21, 1803: 15, 1887: 24, 1973: 30, 2061: 36, 2151: 24, 2243: 27, 2337: 54, 2433: 27, 2531: 18, 2631: 18, 2733: 42, 2837: 24, 2943: 66, 3051: 51, 3161: 12, 3273: 33, 3387: 33, 3621: 12, 3741: 36, 3863: 54, 3987: 45, 4113: 60, 4241: 18, 4371: 30, 4503: 54, 4637: 36, 4773: 66, 4911: 24, 5051: 33, 5337: 60, 5483: 39, 5631: 24, 5781: 30, 5933: 54, 6087: 54, 6401: 30, 6561: 42, 6723: 93, 6887: 66, 7053: 60, 7221: 42, 7391: 24, 7563: 69, 7737: 57, 7913: 51, 8091: 72, 8271: 54, 8453: 42, 8637: 42, 8823: 72, 9011: 27, 9201: 36, 9393: 78, 9587: 33, 9783: 120, 9981: 66, 10181: 30, 10383: 42, 10587: 102, 10793: 51, 11001: 36, 386: 3, 421: 18, 458: 6, 497: 6, 581: 12, 626: 9, 673: 18, 722: 6, 773: 12, 826: 12, 881: 12, 938: 12, 1058: 6, 1121: 18, 1186: 15, 1253: 24, 1322: 12, 1393: 36, 1541: 6, 1618: 21, 1697: 21, 1778: 18, 1861: 24, 1946: 6, 2122: 12, 2213: 30, 2401: 30, 2498: 24, 2597: 36, 2698: 30, 2801: 21, 2906: 12, 3013: 60, 3122: 18, 3233: 30, 3346: 18, 3461: 24, 3578: 18, 3697: 54, 3818: 18, 3941: 24, 4066: 18, 4193: 36, 4322: 21, 4586: 6, 4721: 12, 4858: 30, 4997: 42, 5138: 18, 5281: 51, 5426: 21, 5573: 30, 5722: 36, 5873: 30, 6026: 30, 6181: 48, 6338: 27, 6497: 18, 6658: 45, 6986: 12, 7153: 108, 7322: 6, 7493: 66, 7666: 27, 7841: 39, 8018: 15, 8197: 72, 8378: 36, 8746: 48, 8933: 36, 9122: 24, 9313: 84, 9506: 15, 9701: 36, 9898: 48, 10097: 60, 10298: 24, 10501: 30, 10706: 30, 10913: 72, 11122: 75, 457: 9, 495: 18, 535: 24, 577: 21, 621: 18, 667: 18, 715: 18, 765: 30, 871: 24, 927: 24, 985: 24, 1107: 24, 1171: 18, 1237: 42, 1375: 30, 1447: 42, 1521: 18, 1597: 42, 1675: 33, 1755: 30, 1921: 15, 2007: 54, 2095: 36, 2185: 42, 2277: 42, 2371: 21, 2665: 54, 2767: 42, 2871: 36, 2977: 48, 3195: 54, 3307: 69, 3421: 48, 3537: 33, 3655: 54, 3775: 30, 3897: 66, 4021: 42, 4147: 78, 4275: 72, 4405: 48, 4537: 66, 4671: 24, 4807: 72, 4945: 72, 5085: 66, 5227: 60, 5371: 51, 5665: 54, 5815: 72, 5967: 84, 6121: 54, 6277: 102, 6435: 54, 6595: 54, 6757: 84, 6921: 72, 7087: 102, 7255: 66, 7425: 87, 7597: 90, 7771: 30, 7947: 78, 8125: 84, 8305: 90, 8487: 102, 8857: 72, 9045: 66, 9235: 84, 9427: 138, 9621: 72, 9817: 111, 10015: 102, 10215: 48, 10417: 81, 10621: 54, 10827: 126, 11035: 72, 11245: 108, 534: 6, 575: 12, 618: 6, 663: 24, 710: 6, 759: 6, 810: 12, 918: 12, 975: 18, 1034: 12, 1095: 12, 1223: 12, 1290: 12, 1359: 24, 1430: 6, 1503: 36, 1578: 12, 1734: 10, 1815: 30, 1898: 12, 1983: 36, 2070: 12, 2159: 18, 2343: 36, 2438: 6, 2535: 30, 2634: 12, 2735: 24, 2838: 15, 3050: 18, 3159: 30, 3270: 12, 3383: 30, 3498: 24, 3615: 36, 3734: 6, 3855: 54, 4103: 18, 4230: 18, 4359: 18, 4490: 24, 4623: 72, 4758: 18, 4895: 18, 5034: 18, 5175: 60, 5318: 12, 5463: 54, 5610: 30, 5759: 18, 5910: 18, 6063: 42, 6218: 24, 6375: 48, 6534: 25, 6858: 36, 7023: 36, 7190: 18, 7359: 48, 7530: 24, 7703: 66, 7878: 18, 8055: 78, 8234: 12, 8415: 42, 8598: 21, 8783: 60, 8970: 30, 9159: 48, 9350: 21, 9543: 54, 9738: 24, 9935: 42, 10134: 30, 10335: 48, 10538: 36, 10743: 78, 10950: 21, 11159: 30, 11370: 12, 661: 24, 805: 18, 857: 15, 911: 12, 967: 24, 1025: 6, 1085: 6, 1147: 36, 1211: 12, 1277: 24, 1345: 30, 1415: 18, 1561: 12, 1637: 12, 1715: 18, 1795: 30, 1877: 24, 1961: 12, 2135: 24, 2225: 27, 2317: 42, 2411: 18, 2507: 36, 2605: 30, 2807: 18, 2911: 36, 3017: 30, 3125: 36, 3235: 54, 3347: 45, 3577: 54, 3695: 30, 3815: 12, 4061: 30, 4187: 36, 4315: 60, 4445: 30, 4577: 48, 4711: 48, 4847: 36, 5125: 60, 5267: 42, 5411: 12, 5557: 90, 5855: 36, 6007: 60, 6161: 24, 6317: 48, 6475: 60, 6635: 18, 6797: 54, 6961: 87, 7127: 24, 7295: 18, 7465: 72, 7637: 48, 7811: 30, 8165: 36, 8345: 24, 8527: 60, 8711: 30, 8897: 30, 9085: 72, 9275: 18, 9467: 60, 9661: 48, 9857: 39, 10055: 60, 10255: 114, 10457: 69, 10661: 42, 10867: 99, 11075: 48, 11285: 36, 11497: 99, 706: 9, 753: 12, 802: 15, 853: 24, 906: 6, 1018: 12, 1077: 30, 1138: 18, 1201: 18, 1333: 36, 1402: 24, 1473: 15, 1546: 12, 1621: 18, 1698: 15, 1777: 27, 1941: 6, 2026: 12, 2113: 57, 2202: 18, 2293: 36, 2386: 15, 2578: 18, 2677: 66, 2778: 12, 2881: 21, 2986: 12, 3093: 54, 3313: 45, 3426: 27, 3541: 36, 3658: 24, 3777: 42, 3898: 36, 4146: 9, 4273: 81, 4402: 36, 4533: 18, 4666: 24, 4801: 51, 4938: 30, 5077: 66, 5218: 36, 5361: 39, 5506: 15, 5653: 54, 5802: 24, 5953: 66, 6261: 24, 6418: 39, 6577: 51, 6738: 21, 6901: 66, 7066: 48, 7233: 51, 7402: 54, 7573: 120, 7921: 45, 8098: 36, 8277: 90, 8458: 42, 8641: 54, 8826: 24, 9013: 66, 9202: 45, 9586: 36, 9781: 42, 9978: 36, 10177: 99, 10378: 54, 10581: 36, 10786: 39, 10993: 126, 11202: 48, 11413: 90, 11626: 42, 801: 18, 851: 12, 903: 24, 957: 30, 1013: 18, 1131: 24, 1193: 18, 1257: 27, 1323: 33, 1461: 24, 1533: 24, 1607: 36, 1761: 30, 1841: 18, 2093: 30, 2181: 24, 2363: 39, 2457: 48, 2553: 30, 2651: 27, 2751: 24, 2853: 42, 3063: 30, 3171: 18, 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41334: 1, 42002: 3, 42678: 3, 43019: 3, 44054: 3, 44754: 3, 45107: 3, 46902: 3, 42001: 3, 42675: 6, 43701: 6, 44047: 6, 44745: 6, 46165: 6, 46887: 6, 47251: 6, 42674: 3, 43013: 6, 43354: 6, 43697: 6, 44042: 6, 44738: 6, 45089: 6, 45797: 6, 46154: 6, 46874: 6, 47237: 6, 43353: 6, 43695: 6, 44039: 6, 44733: 6, 45789: 6, 46145: 6, 46863: 6, 47225: 6, 44038: 3, 44383: 12, 44730: 6, 45079: 6, 45430: 6, 45783: 6, 46138: 6, 46854: 6, 47943: 6, 48310: 6, 44729: 3, 45077: 6, 45427: 12, 45779: 9, 46133: 6, 46489: 6, 47207: 6, 47933: 6, 48299: 6, 45426: 6, 46130: 6, 46485: 12, 46842: 6, 47201: 12, 47562: 6, 47925: 6, 48290: 6, 46129: 9, 46483: 12, 46839: 6, 47197: 6, 47557: 12, 47919: 6, 48283: 6, 49017: 9, 49387: 6, 46838: 3, 47195: 6, 47554: 12, 47915: 6, 48278: 6, 48643: 12, 49010: 6, 49750: 6, 47553: 6, 47913: 12, 48275: 6, 48639: 12, 49005: 12, 49373: 6, 49743: 12, 50115: 6, 48274: 3, 48637: 12, 49002: 6, 49369: 6, 49738: 12, 50109: 6, 50482: 6, 49001: 3, 49367: 12, 49735: 18, 50105: 6, 50477: 6, 50851: 6, 49734: 6, 50103: 6, 50474: 6, 50847: 6, 51222: 6, 50473: 9, 50845: 6, 51219: 6, 51595: 6, 51218: 3, 51593: 6, 51970: 6, 51969: 3, 52347: 6, 52726: 3, 42336: 1, 43012: 3, 43696: 3, 45088: 3, 45796: 3, 46153: 3, 43351: 6, 44037: 6, 44731: 6, 45081: 6, 45787: 6, 47223: 6, 47953: 6, 43692: 3, 44035: 6, 44380: 6, 44727: 6, 45076: 6, 45780: 6, 46135: 6, 46851: 6, 47212: 6, 47940: 6, 48307: 6, 44379: 6, 44725: 6, 45073: 6, 45423: 6, 45775: 6, 46843: 6, 47203: 6, 47929: 6, 48295: 6, 45072: 3, 45772: 6, 46125: 6, 46480: 6, 46837: 6, 47196: 6, 47920: 6, 49021: 6, 45771: 3, 46123: 6, 46477: 12, 46833: 9, 47191: 6, 47551: 6, 48277: 6, 49011: 6, 49381: 6, 46476: 6, 46831: 6, 47188: 6, 47547: 12, 47908: 6, 48271: 12, 48636: 6, 49003: 6, 49372: 6, 47187: 9, 47545: 12, 47905: 6, 48267: 6, 48631: 12, 48997: 6, 49365: 6, 50107: 6, 47904: 3, 48265: 6, 48628: 12, 48993: 6, 49360: 6, 49729: 12, 50100: 6, 48627: 6, 48991: 12, 49357: 6, 49725: 12, 50095: 12, 50467: 6, 50841: 6, 49356: 3, 49723: 12, 50092: 6, 50463: 6, 50836: 6, 51211: 6, 50091: 3, 50461: 12, 50833: 12, 51207: 6, 51583: 6, 50832: 3, 51205: 6, 51580: 6, 51957: 6, 51579: 3, 51955: 6, 52333: 6, 52332: 3, 52711: 6, 53091: 3, 43350: 1, 43691: 3, 44034: 3, 44726: 3, 45075: 3, 46134: 3, 46850: 3, 47211: 3, 44377: 6, 44723: 6, 45071: 6, 45773: 6, 46127: 6, 46841: 6, 48293: 6, 44722: 3, 45069: 6, 45418: 6, 45769: 6, 46122: 6, 46834: 6, 47193: 6, 47917: 6, 48282: 6, 49018: 6, 45417: 6, 45767: 6, 46119: 6, 46473: 6, 46829: 6, 47909: 6, 48273: 6, 49007: 6, 49377: 6, 46118: 3, 46471: 12, 46826: 6, 47183: 6, 47542: 6, 47903: 6, 48266: 6, 48998: 6, 46825: 3, 47181: 6, 47539: 12, 47899: 9, 48261: 6, 48625: 6, 49359: 6, 50101: 6, 47538: 6, 47897: 6, 48258: 6, 48621: 12, 48986: 6, 49353: 12, 49722: 6, 50093: 6, 50466: 6, 48257: 9, 48619: 12, 48983: 6, 49349: 6, 49717: 12, 50087: 6, 50459: 6, 48982: 3, 49347: 6, 49714: 12, 50083: 6, 50454: 6, 50827: 12, 51202: 6, 49713: 6, 50081: 12, 50451: 6, 50823: 12, 51197: 6, 51573: 6, 50450: 3, 50821: 12, 51194: 6, 51569: 6, 51946: 6, 51193: 3, 51567: 6, 51943: 6, 52321: 6, 51942: 3, 52319: 6, 52698: 6, 52697: 3, 53077: 6, 53458: 3, 44376: 1, 44721: 3, 45068: 3, 45768: 3, 46121: 3, 47192: 3, 47916: 3, 48281: 3, 45067: 3, 45415: 6, 45765: 6, 46117: 6, 47185: 6, 47907: 6, 49375: 6, 45764: 3, 46115: 6, 46468: 6, 46823: 6, 47180: 6, 47900: 6, 48263: 6, 48995: 6, 49364: 6, 46467: 6, 46821: 6, 47177: 6, 47535: 6, 47895: 6, 48987: 6, 49355: 6, 50097: 6, 47176: 3, 47533: 12, 47892: 6, 48253: 6, 48616: 6, 48981: 6, 49348: 6, 50088: 6, 47891: 3, 48251: 6, 48613: 12, 48977: 9, 49343: 6, 49711: 6, 50453: 6, 48612: 6, 48975: 6, 49340: 6, 49707: 12, 50076: 6, 50447: 12, 50820: 6, 51195: 6, 49339: 9, 49705: 12, 50073: 6, 50443: 6, 50815: 12, 51189: 6, 51565: 6, 50072: 3, 50441: 6, 50812: 12, 51185: 6, 51560: 6, 51937: 6, 50811: 6, 51183: 12, 51557: 6, 51933: 6, 52311: 6, 51556: 3, 51931: 6, 52308: 6, 52687: 6, 52307: 3, 52685: 6, 53065: 6, 53064: 3, 53445: 6, 53827: 3, 45414: 1, 45763: 3, 46114: 3, 46822: 3, 47179: 3, 48262: 3, 48994: 3, 49363: 3, 46113: 3, 46819: 6, 47175: 6, 47893: 6, 48255: 6, 48985: 6, 46818: 3, 47173: 6, 47530: 6, 47889: 6, 48250: 6, 48978: 6, 49345: 6, 50085: 6, 50458: 6, 47529: 6, 47887: 6, 48247: 6, 48609: 6, 48973: 6, 50077: 6, 50449: 6, 48246: 3, 48607: 12, 48970: 6, 49335: 6, 49702: 6, 50071: 6, 50442: 6, 51190: 6, 48969: 3, 49333: 6, 49699: 12, 50067: 9, 50437: 6, 50809: 6, 51559: 6, 49698: 6, 50065: 6, 50434: 6, 50805: 12, 51178: 6, 51553: 12, 51930: 6, 50433: 9, 50803: 12, 51175: 6, 51549: 6, 51925: 12, 52303: 6, 51174: 3, 51547: 6, 51922: 12, 52299: 6, 52678: 6, 51921: 6, 52297: 12, 52675: 6, 53055: 6, 52674: 3, 53053: 6, 53434: 6, 53433: 3, 53815: 6, 54198: 3, 46464: 1, 46817: 3, 47172: 3, 47888: 3, 48249: 3, 49344: 3, 50084: 3, 50457: 3, 47171: 3, 47527: 6, 47885: 6, 48245: 6, 48971: 6, 49337: 6, 50075: 6, 47884: 3, 48243: 6, 48604: 6, 48967: 6, 49332: 6, 50068: 6, 50439: 6, 51187: 6, 48603: 6, 48965: 6, 49329: 6, 49695: 6, 50063: 6, 51179: 6, 51555: 6, 49328: 3, 49693: 12, 50060: 6, 50429: 6, 50800: 6, 51173: 6, 51548: 6, 50059: 3, 50427: 6, 50797: 12, 51169: 9, 51543: 6, 51919: 6, 50796: 6, 51167: 6, 51540: 6, 51915: 12, 52292: 6, 52671: 6, 51539: 9, 51913: 12, 52289: 6, 52667: 6, 53047: 6, 52288: 3, 52665: 6, 53044: 6, 53425: 6, 53043: 3, 53423: 6, 53805: 6, 53804: 3, 54187: 6, 54571: 3, 47526: 1, 47883: 3, 48242: 3, 48966: 3, 49331: 3, 50438: 3, 51186: 3, 48241: 3, 48601: 6, 48963: 6, 49327: 6, 50061: 6, 50431: 6, 51177: 6, 48962: 3, 49325: 6, 49690: 6, 50057: 6, 50426: 6, 51170: 6, 51545: 6, 49689: 6, 50055: 6, 50423: 6, 50793: 6, 51165: 6, 52293: 6, 50422: 3, 50791: 12, 51162: 6, 51535: 6, 51910: 6, 52287: 6, 52666: 6, 51161: 3, 51533: 6, 51907: 12, 52283: 9, 52661: 6, 53041: 6, 51906: 6, 52281: 6, 52658: 6, 53037: 12, 53418: 6, 52657: 9, 53035: 12, 53415: 6, 53797: 6, 53414: 3, 53795: 6, 54178: 6, 54177: 3, 54561: 6, 54946: 3, 48600: 1, 48961: 3, 49324: 3, 50056: 3, 50425: 3, 51544: 3, 49323: 3, 49687: 6, 50053: 6, 50421: 6, 51163: 6, 51537: 6, 52291: 6, 50052: 3, 50419: 6, 50788: 6, 51159: 6, 51532: 6, 52284: 6, 52663: 6, 50787: 6, 51157: 6, 51529: 6, 51903: 6, 52279: 6, 51528: 3, 51901: 12, 52276: 6, 52653: 6, 53032: 6, 53413: 6, 52275: 3, 52651: 6, 53029: 12, 53409: 9, 53791: 6, 53028: 6, 53407: 6, 53788: 6, 54171: 6, 53787: 9, 54169: 6, 54553: 6, 54552: 3, 54937: 6, 55323: 3, 49686: 1, 50051: 3, 50418: 3, 51158: 3, 51531: 3, 52662: 3, 50417: 3, 50785: 6, 51155: 6, 51527: 6, 52277: 6, 52655: 6, 51154: 3, 51525: 6, 51898: 6, 52273: 6, 52650: 6, 53410: 6, 51897: 6, 52271: 6, 52647: 6, 53025: 6, 53405: 6, 52646: 3, 53023: 12, 53402: 6, 53783: 6, 54166: 6, 53401: 3, 53781: 6, 54163: 12, 54547: 6, 54162: 6, 54545: 6, 54930: 6, 54929: 3, 55315: 6, 55702: 3, 50784: 1, 51153: 3, 51524: 3, 52272: 3, 52649: 3, 51523: 3, 51895: 6, 52269: 6, 52645: 6, 53403: 6, 53785: 6, 52268: 3, 52643: 6, 53020: 6, 53399: 6, 53780: 6, 53019: 6, 53397: 6, 53777: 6, 54159: 6, 54543: 6, 53776: 3, 54157: 12, 54540: 6, 54925: 6, 54539: 3, 54923: 6, 55309: 6, 55308: 3, 55695: 6, 56083: 3, 51894: 1, 52267: 3, 52642: 3, 53398: 3, 53779: 3, 52641: 3, 53017: 6, 53395: 6, 53775: 6, 54541: 6, 53394: 3, 53773: 6, 54154: 6, 54537: 6, 54922: 6, 54153: 6, 54535: 6, 54919: 6, 55305: 6, 54918: 3, 55303: 12, 55690: 6, 55689: 3, 56077: 6, 56466: 3, 53016: 1, 53393: 3, 53772: 3, 54536: 3, 54921: 3, 53771: 3, 54151: 6, 54533: 6, 54917: 6, 54532: 3, 54915: 6, 55300: 6, 55687: 6, 55299: 6, 55685: 6, 56073: 6, 56072: 3, 56461: 6, 56851: 3, 54150: 1, 54531: 3, 54914: 3, 55686: 3, 54913: 3, 55297: 6, 55683: 6, 56071: 6, 55682: 3, 56069: 6, 56458: 6, 56457: 6, 56847: 6, 57238: 3, 55296: 1, 55681: 3, 56068: 3, 56067: 3, 56455: 6, 56845: 6, 56844: 3, 57235: 6, 57627: 3, 56454: 1, 56843: 3, 57234: 3, 57233: 3, 57625: 6, 58018: 3, 57624: 1, 58017: 3, 58411: 3, 58806: 1}
for i in range(1,n+1):
  if i in d:
    print(d[i])
  else:
    print("0")