x,y,z,counts
1,1,1,1
2,1,1,1
2,2,1,1,1
2,2,2,3,2,3,1,1
3,1,1,1
3,2,1,3,2,1
3,2,2,15,41,61,58,29,12,2,1
3,3,1,6,7,7,3,1
3,3,2,59,298,869,1666,2388,2450,1854,967,390,103,25,3,1
3,3,3,118,913,4438,14922,39546,84948,151992,226020,277664,277365,223799,145802,77251,33413,11772,3356,769,138,22,4,1
4,1,1,1
4,2,1,3,6,2,1
4,2,2,28,122,324,521,602,428,225,69,20,2,1
4,3,1,15,39,59,42,21,4,1
4,3,2,269,2192,9561,29281,67893,124428,181051,209240,188592,132308,71842,30717,10165,2662,504,78,6,1
4,3,3,912,11287,77502,376365,1444525,4600726,12533971,29643543,61330773,111057760,175366471,239732119,281562992,282313760,241008352,175295026,109001974,58119482,26620639,10455817,3509584,997606,238069,46638,7435,901,92,6,1
4,4,1,18,77,181,266,251,168,66,20,3,1
4,4,2,393,4393,27485,121615,421801,1194124,2830075,5672472,9666678,13974047,17035290,17348172,14664976,10261190,5961764,2883576,1165728,391916,109373,24723,4541,619,72,4,1
4,4,3,3007,50729,470640,3113306,16366444,72215181,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,24473,2184,157,7,1
4,4,4,3686,81423,989811,8580365,59279199,345337202,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,26668,1743,98,4,1
5,1,1,1
5,2,1,5,11,10,3,1
5,2,2,46,287,1049,2611,4678,6041,5544,3667,1723,606,146,30,3,1
5,3,1,25,96,210,255,212,103,33,6,1
5,3,2,537,5721,33430,138963,448958,1175417,2546700,4599312,6917448,8606407,8789020,7318039,4964070,2749124,1248828,465058,141878,34891,6873,1020,120,8,1
5,3,3,2083,32748,286847,1793893,8922206,37182650,134054111,426100673,,,,,,,,,,,,,,,,,,,,,,,,,18770,1821,142,9,1
5,4,1,61,383,1304,2847,4441,5008,4168,2439,1008,271,55,6,1
5,4,2,1715,24666,196124,1124222,5108307,19305538,62280083,174249373,,,,,,,,,,,,,,,,,,,,22912,2468,210,10,1
5,4,3,14942,312630,3577634,29393289,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,122145,8582,466,16,1
5,4,4,29970,799212,11664029,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,10308,421,11,1
5,5,1,73,529,2413,7375,17041,30320,42670,47344,41330,27764,14083,5279,1470,302,48,6,1
5,5,2,2127,36595,357029,2539706,14528248,70102536,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,28928,2455,169,7,1
5,5,3,20627,508050,6946475,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
5,5,4,88631,2755739,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
5,5,5,94466,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
6,1,1,1
6,2,1,5,19,22,15,3,1
6,2,2,67,542,2608,8630,21710,40949,58669,62803,50785,30712,14227,4927,1335,252,42,3,1
6,3,1,35,188,550,954,1184,964,546,187,47,6,1
6,3,2,921,12300,89488,467753,1923100,6510918,18587770,,,,,,,,,,,,,,,,,14771,1783,171,9,1
6,3,3,4041,77494,819837,6212269,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,39742,3125,201,9,1
6,4,1,97,822,3548,10323,21995,36035,45748,45289,34112,19282,7852,2347,479,77,6,1
6,4,2,3286,56826,544687,3777502,20939873,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,48757,4322,300,12,1
6,5,1,240,2366,13161,51133,153122,366832,720244,1168734,1574307,1752470,1599769,1178618,689716,315074,111790,30499,6436,1004,122,9,1
7,1,1,1
7,2,1,7,28,52,45,21,4,1
7,2,2,93,933,5474,22744,72853,182721,359657,554323,666734,625422,457680,262726,118481,42226,11745,2574,415,56,4,1
7,3,1,49,332,1231,2800,4634,5497,4745,2833,1173,324,64,8,1
7,3,2,1467,23322,203061,1271664,6313216,26033702,91547012,278968808,,,,,,,,,,,,,,,,,,,,,,,,,
7,4,1,155,1551,8239,29442,79155,167354,285375,395338,444276,399618,283023,154408,64149,19992,4705,800,105,8,1
8,1,1,1
8,2,1,7,40,90,119,73,28,4,1
8,2,2,122,1458,10246,50930,198474,617701,1553117,3148397,5145036,6753583,7118427,6020286,4099241,2251467,1002112,360600,105108,24362,4521,619,72,4,1
8,3,1,63,529,2406,6818,14182,22011,26097,22883,14761,6730,2207,492,83,8,1
9,1,1,1
9,2,1,9,53,158,257,237,119,36,5,1
9,2,2,156,2171,17621,102257,467118,1732474,5281824,13285053,27576667,47173631,66374237,76711623,72803443,56809616,36527278,19406655,8533634,3107821,934194,230761,46111,7402,900,90,5,1
9,3,1,81,800,4313,14722,36920,70760,106490,124513,112111,75982,38306,14110,3803,733,105,10,1
10,1,1,1
10,2,1,9,69,238,505,591,429,172,45,5,1
11,1,1,1
11,2,1,11,86,360,895,1353,1248,720,249,55,6,1
12,1,1,1
12,2,1,11,106,498,1493,2709,3192,2356,1141,335,66,6,1
13,1,1,1
13,2,1,13,127,690,2343,5097,7235,6796,4201,1725,451,78,7,1