37,32,1,25,1
59,44,1,29,1
67,58,1,9,1
101,68,1,11,1
103,24,1,22,1
131,22,1,60,1
149,130,1,56,1
157,110,1,37,1
157,62,1,22,1
233,84,1,144,1
257,164,1,29,1
263,100,1,165,1
271,84,1,79,1
283,20,1,38,1
293,156,1,219,1
307,88,1,18,1
311,292,1,88,1
347,280,1,167,1
353,300,1,119,1
353,186,1,349,1
379,174,1,189,1
379,100,1,237,1
389,200,1,235,1
401,382,1,119,1
409,126,1,146,1
421,240,1,310,1
433,366,1,393,1
461,196,1,234,1
463,130,1,217,1
467,194,1,378,1
467,94,1,342,1
491,338,1,279,1
491,336,1,76,1
491,292,1,74,1
523,400,1,364,1
541,86,1,191,1
547,486,1,386,1
547,270,1,359,1
557,222,1,230,1
577,52,1,320,1
587,92,1,466,1
587,90,1,568,1
593,22,1,427,1
607,592,1,223,1
613,522,1,586,1
617,338,1,536,1
617,174,1,245,1
617,20,1,253,1
619,428,1,590,1
631,226,1,519,1
631,80,1,565,1
647,554,1,643,1
647,242,1,402,1
647,236,1,403,1
653,48,1,547,1
659,224,1,84,1
673,502,1,209,1
673,408,1,382,1
677,628,1,124,1
683,32,1,449,1
691,200,1,395,1
691,12,1,207,1
727,378,1,422,1
751,290,1,560,1
757,514,1,150,1
761,260,1,292,1
773,732,1,585,1
797,220,1,648,1
809,628,1,664,1
809,330,1,278,1
811,544,1,120,1
821,744,1,123,1
827,102,1,765,1
839,66,1,770,1
877,868,1,314,1
881,162,1,671,1
887,418,1,342,1
929,820,1,71,1
929,520,1,87,1
953,156,1,389,1
971,166,1,599,1
1061,474,1,481,1
1091,888,1,803,1
1117,794,1,187,1
1129,348,1,469,1
1151,968,1,21,1
1151,784,1,122,1
1151,534,1,780,1
1153,802,1,833,1
1193,262,1,726,1
1201,676,1,531,1
1217,1118,1,1148,1
1217,866,1,897,1
1217,784,1,257,1
1229,784,1,88,1
1237,874,1,129,1
1279,518,1,590,1
1283,510,1,91,1
1291,824,1,1286,1
1291,206,1,696,1
1297,220,1,574,1
1297,202,1,412,1
1301,176,1,132,1
1307,852,1,690,1
1307,382,1,917,1
1319,304,1,23,1
1327,466,1,523,1
1367,234,1,399,1
1381,266,1,1056,1
1409,358,1,679,1
1429,996,1,984,1
1439,574,1,372,1
1483,224,1,825,1
1499,94,1,698,1
1523,1310,1,860,1
1559,862,1,971,1
1597,842,1,131,1
1609,1356,1,539,1
1613,172,1,306,1
1619,560,1,843,1
1621,980,1,294,1
1637,718,1,1423,1
1663,1508,1,773,1
1663,270,1,968,1
1669,1086,1,625,1
1669,388,1,1134,1
1721,30,1,1260,1
1733,942,1,811,1
1733,810,1,679,1
1753,712,1,579,1
1759,1520,1,1532,1
1777,1192,1,689,1
1787,1606,1,1677,1
1789,1442,1,35,1
1789,848,1,537,1
1811,1520,1,1166,1
1811,698,1,376,1
1811,550,1,516,1
1831,1274,1,123,1
1847,1558,1,1687,1
1847,1016,1,1429,1
1847,954,1,837,1
1871,1794,1,1601,1
1877,1026,1,1054,1
1879,1260,1,562,1
1889,242,1,1482,1
1901,1722,1,1641,1
1933,1320,1,1530,1
1933,1058,1,128,1
1951,1656,1,1470,1
1979,148,1,1761,1
1987,510,1,986,1
1993,912,1,477,1
1997,1888,1,357,1
1997,772,1,1633,1
2003,600,1,1490,1
2003,60,1,1552,1
2017,1204,1,1809,1
2039,1300,1,1870,1
2053,1932,1,1919,1
2087,1298,1,2019,1
2087,376,1,1567,1
2099,1230,1,169,1
2111,1038,1,75,1
2137,1624,1,1182,1
2143,1916,1,1864,1
2153,1832,1,212,1
2213,154,1,914,1
2239,1826,1,2138,1
2267,2234,1,251,1
2273,2166,1,712,1
2273,876,1,1939,1
2293,2040,1,180,1
2309,1772,1,1649,1
2309,1660,1,1143,1
2357,2204,1,1539,1
2371,2274,1,1570,1
2371,242,1,1083,1
2377,1226,1,622,1
2381,2060,1,1591,1
2383,2278,1,1335,1
2383,842,1,1862,1
2389,776,1,706,1
2411,2126,1,2389,1
2423,884,1,1753,1
2423,290,1,273,1
2441,1750,1,1925,1
2441,366,1,1381,1
2503,1044,1,182,1
2543,2374,1,1091,1
2557,1464,1,392,1
2579,1730,1,2183,1
2591,2574,1,2562,1
2591,854,1,821,1
2621,1772,1,367,1
2633,1416,1,2389,1
2647,1172,1,1296,1
2657,710,1,200,1
2663,1244,1,1075,1
2671,2394,1,1183,1
2671,404,1,2469,1
2689,926,1,1775,1
2753,482,1,320,1
2767,2528,1,2543,1
2777,1600,1,2003,1
2789,2154,1,241,1
2789,1984,1,471,1
2791,2554,1,1094,1
2833,1832,1,2763,1
2857,98,1,887,1
2861,352,1,724,1
2909,950,1,1262,1
2909,400,1,84,1
2927,242,1,2471,1
2939,2748,1,2442,1
2939,1102,1,2348,1
2939,332,1,193,1
2957,788,1,2559,1
2957,138,1,2474,1
2999,776,1,63,1
3011,1496,1,2842,1
3023,2020,1,2976,1
3049,700,1,879,1
3061,2522,1,1765,1
3083,1450,1,2851,1
3089,1706,1,671,1
3119,1704,1,371,1
3181,3142,1,2237,1
3203,2368,1,356,1
3221,98,1,544,1
3229,1634,1,2805,1
3257,922,1,1807,1
3313,2222,1,1435,1
3323,3292,1,491,1
3329,1378,1,2346,1
3391,2534,1,1166,1
3391,2232,1,1804,1
3407,2558,1,418,1
3407,2076,1,214,1
3433,1300,1,2218,1
3469,1174,1,1006,1
3491,2544,1,3329,1
3511,1724,1,662,1
3511,1416,1,1998,1
3517,2586,1,3324,1
3517,1836,1,1888,1
3529,3490,1,159,1
3533,3136,1,2997,1
3533,2314,1,1237,1
3539,2130,1,1491,1
3539,2082,1,2322,1
3559,1592,1,1654,1
3559,344,1,2533,1
3581,1466,1,1322,1
3583,1922,1,2124,1
3593,642,1,2358,1
3593,360,1,555,1
3607,1976,1,2579,1
3613,2082,1,2148,1
3617,2856,1,2734,1
3617,16,1,990,1
3631,1104,1,1201,1
3637,3202,1,3175,1
3637,2526,1,2140,1
3671,1580,1,3262,1
3677,2238,1,2595,1
3697,1884,1,1639,1
3779,2362,1,1795,1
3797,1256,1,3693,1
3821,3296,1,161,1
3833,3286,1,548,1
3833,1998,1,179,1
3833,1840,1,96,1
3851,404,1,2556,1
3851,216,1,607,1
3853,748,1,1845,1
3881,2138,1,1646,1
3881,1686,1,1051,1
3917,1490,1,890,1
3967,106,1,2884,1
3989,1936,1,2131,1
4001,534,1,1516,1
4003,2610,1,352,1
4003,142,1,1127,1
4003,82,1,3301,1
4021,3228,1,3877,1
4027,2332,1,2567,1
4049,1854,1,3735,1
4051,3548,1,847,1
4073,3620,1,3847,1
4129,1784,1,3514,1
4157,2322,1,2113,1
4157,658,1,414,1
4219,4190,1,3410,1
4243,4146,1,1467,1
4243,2712,1,1965,1
4259,3726,1,1939,1
4259,3580,1,1444,1
4261,2068,1,4177,1
4339,214,1,344,1
4349,2052,1,1860,1
4409,672,1,3378,1
4409,636,1,3936,1
4421,3768,1,1954,1
4451,2978,1,4204,1
4451,2896,1,496,1
4457,444,1,431,1
4493,746,1,3873,1
4519,848,1,1896,1
4523,456,1,4024,1
4561,436,1,3827,1
4591,3596,1,3428,1
4591,2292,1,4352,1
4637,3618,1,1001,1
4639,3226,1,3105,1
4657,4110,1,4655,1
4657,2416,1,3819,1
4657,1578,1,1270,1
4663,4278,1,1333,1
4663,216,1,371,1
4679,3592,1,4002,1
4691,3450,1,3301,1
4751,3768,1,1729,1
4783,252,1,2505,1
4793,2636,1,2419,1
4813,2620,1,2420,1
4861,4678,1,1404,1
4889,2924,1,4067,1
4903,3106,1,1389,1
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4943,492,1,1049,1
4951,3890,1,400,1
4951,2468,1,1483,1
4951,1914,1,1864,1
4957,3812,1,120,1
4969,1940,1,747,1
4973,4208,1,3632,1
5009,4956,1,946,1
5009,1544,1,3333,1
5039,594,1,689,1
5077,3092,1,4426,1
5081,3016,1,1680,1
5099,1378,1,1521,1
5101,190,1,984,1
5107,4872,1,4261,1
5119,4086,1,3696,1
5167,4112,1,5070,1
5179,4732,1,3717,1
5189,1102,1,3209,1
5209,2928,1,5142,1
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5227,308,1,4471,1
5231,3466,1,3737,1
5297,4810,1,93,1
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5309,158,1,4404,1
5351,1948,1,769,1
5399,1482,1,3931,1
5413,1702,1,2010,1
5441,4726,1,1977,1
5443,1710,1,3400,1
5477,1150,1,1083,1
5479,4802,1,5260,1
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5501,666,1,3813,1
5527,5206,1,1688,1
5531,3438,1,3746,1
5557,3196,1,2061,1
5569,938,1,4185,1
5573,2032,1,3261,1
5639,2672,1,4454,1
5641,5258,1,157,1
5641,4580,1,5017,1
5669,2680,1,2665,1
5669,2218,1,5243,1
5689,348,1,4878,1
5701,2450,1,2208,1
5783,2200,1,2260,1
5791,1258,1,2504,1
5813,4284,1,3636,1
5821,1150,1,1218,1
5839,2308,1,1696,1
5861,3554,1,811,1
5897,2996,1,4224,1
5903,5000,1,5126,1
5903,3970,1,1919,1
5923,4240,1,2203,1
5927,3642,1,5121,1
5939,5014,1,5204,1
5939,342,1,3250,1
5953,3274,1,1206,1
6007,912,1,2474,1
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6037,3396,1,169,1
6043,1226,1,1164,1
6091,702,1,6037,1
6101,2008,1,5195,1
6173,5894,1,4386,1
6173,5008,1,5247,1
6217,4186,1,1637,1
6247,3474,1,4197,1
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6263,4226,1,140,1
6263,3286,1,6260,1
6287,5034,1,5793,1
6287,4452,1,3750,1
6317,2354,1,3971,1
6329,5102,1,2505,1
6337,1956,1,4360,1
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6421,438,1,2567,1
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6491,346,1,3932,1
6521,236,1,2869,1
6529,1564,1,3639,1
6547,734,1,1100,1
6569,1776,1,5046,1
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6571,1744,1,850,1
6577,1312,1,5057,1
6619,3170,1,3353,1
6619,1952,1,2971,1
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6701,5484,1,6657,1
6733,1690,1,6073,1
6763,6230,1,6070,1
6763,6218,1,2474,1
6763,4144,1,6705,1
6779,3994,1,72,1
6793,2686,1,2566,1
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6827,4108,1,1909,1
6833,5144,1,1406,1
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7187,3906,1,672,1
7207,5774,1,663,1
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7211,898,1,2255,1
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7213,1436,1,953,1
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7411,4712,1,7020,1
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