/* * Table generated by contrib/sinc-integral.py. */ #include "sinctable.h" /* tables are: a500 off, a500 on, a1200 off, a1200 on, vanilla. */ const int winsinc_integral[5][2048] = { { 131072,131072,131072,131072,131072,131072,131072,131072,131072,131072,131072, 131071,131071,131071,131071,131071,131071,131071,131071,131071,131071,131071,131070, 131070,131070,131070,131070,131069,131069,131069,131069,131068,131068,131067,131067, 131066,131066,131065,131065,131064,131063,131062,131062,131061,131060,131058,131057, 131056,131055,131053,131051,131050,131048,131046,131043,131041,131039,131036,131033, 131030,131027,131023,131019,131016,131011,131007,131002,130997,130992,130986,130980, 130973,130967,130959,130952,130944,130935,130926,130917,130907,130896,130885,130873, 130861,130848,130835,130820,130805,130789,130773,130756,130737,130718,130698,130677, 130655,130633,130609,130584,130557,130530,130502,130472,130441,130408,130375,130339, 130303,130265,130225,130184,130141,130096,130050,130002,129952,129900,129846,129790, 129732,129672,129609,129545,129478,129409,129337,129263,129186,129107,129025,128940, 128852,128762,128669,128572,128473,128370,128264,128155,128043,127927,127807,127684, 127558,127428,127293,127156,127014,126868,126718,126564,126406,126243,126076,125905, 125729,125549,125364,125174,124980,124780,124576,124367,124152,123933,123708,123478, 123243,123002,122756,122505,122247,121985,121716,121442,121162,120876,120584,120286, 119982,119672,119356,119033,118705,118370,118029,117682,117328,116967,116601,116228, 115848,115462,115069,114670,114264,113851,113432,113006,112573,112134,111688,111236, 110777,110311,109838,109359,108874,108381,107882,107377,106865,106346,105821,105290, 104752,104208,103657,103100,102537,101968,101392,100811,100224,99630,99031,98426, 97816,97199,96578,95950,95318,94680,94037,93389,92736,92079,91416,90749,90077,89401, 88721,88037,87348,86656,85960,85260,84557,83851,83141,82429,81713,80995,80274,79551, 78826,78098,77369,76638,75905,75171,74435,73699,72961,72223,71484,70745,70006,69266, 68527,67788,67050,66312,65576,64840,64106,63373,62641,61912,61184,60459,59736,59015, 58297,57582,56871,56162,55457,54755,54058,53364,52674,51989,51308,50632,49960,49294, 48632,47976,47325,46680,46041,45407,44780,44158,43543,42934,42332,41737,41148,40566, 39991,39424,38863,38310,37765,37227,36696,36173,35659,35152,34652,34161,33678,33204, 32737,32279,31828,31387,30953,30528,30112,29704,29304,28913,28530,28155,27790,27432, 27083,26743,26411,26087,25772,25465,25166,24875,24593,24318,24052,23794,23543,23300, 23066,22838,22619,22406,22202,22004,21814,21631,21454,21285,21122,20966,20816,20673, 20536,20404,20279,20160,20046,19938,19835,19738,19645,19558,19475,19396,19322,19253, 19187,19126,19068,19014,18963,18915,18871,18830,18791,18755,18721,18690,18661,18633, 18608,18584,18561,18540,18520,18501,18483,18465,18448,18431,18414,18398,18381,18364, 18347,18329,18310,18291,18270,18249,18226,18203,18177,18150,18122,18092,18060,18026, 17990,17951,17911,17868,17823,17775,17725,17672,17617,17559,17498,17434,17368,17298, 17226,17150,17072,16990,16906,16818,16727,16634,16537,16437,16334,16228,16119,16007, 15892,15774,15653,15529,15403,15273,15141,15006,14868,14728,14585,14440,14293,14143, 13990,13836,13680,13521,13361,13198,13035,12869,12702,12533,12363,12192,12019,11846, 11671,11496,11320,11143,10966,10789,10611,10433,10255,10076,9898,9721,9543,9367,9190, 9015,8840,8666,8493,8322,8151,7982,7814,7648,7484,7321,7160,7002,6845,6690,6537, 6387,6239,6094,5951,5811,5673,5538,5406,5277,5151,5027,4907,4790,4676,4565,4458, 4354,4253,4155,4061,3970,3882,3798,3718,3640,3567,3496,3430,3366,3306,3250,3197, 3147,3100,3057,3018,2981,2948,2918,2892,2868,2847,2830,2815,2804,2795,2789,2786, 2785,2787,2792,2799,2809,2820,2834,2851,2869,2889,2911,2935,2961,2988,3017,3048, 3079,3113,3147,3182,3218,3256,3294,3332,3372,3412,3452,3493,3534,3575,3616,3657, 3698,3739,3780,3820,3860,3899,3937,3975,4012,4048,4083,4118,4151,4183,4213,4243, 4271,4297,4323,4346,4368,4389,4407,4424,4440,4453,4465,4474,4482,4488,4492,4494, 4494,4491,4487,4481,4472,4462,4449,4435,4418,4399,4378,4355,4330,4303,4274,4243, 4210,4176,4139,4100,4060,4017,3973,3927,3880,3831,3780,3728,3674,3619,3562,3504, 3445,3384,3323,3260,3196,3132,3066,2999,2932,2864,2796,2727,2657,2587,2516,2446, 2375,2304,2232,2161,2090,2019,1948,1878,1807,1738,1668,1599,1531,1464,1397,1331, 1266,1201,1138,1076,1015,954,896,838,782,726,673,620,570,520,473,426,382,339,297, 258,220,184,149,116,86,56,29,4,-20,-42,-62,-80,-96,-111,-123,-134,-143,-151,-156, -160,-162,-162,-161,-158,-153,-147,-139,-130,-119,-107,-93,-78,-61,-43,-24,-4,17,40, 64,89,114,141,168,197,226,256,286,318,349,381,414,447,481,514,548,582,616,651,685, 719,753,787,821,854,887,920,953,985,1016,1047,1077,1107,1136,1164,1192,1218,1244, 1269,1293,1316,1338,1359,1379,1398,1416,1433,1449,1463,1477,1489,1500,1509,1518, 1525,1531,1536,1539,1541,1542,1542,1541,1538,1534,1528,1522,1514,1505,1495,1483, 1471,1457,1442,1426,1409,1391,1372,1352,1331,1309,1286,1262,1238,1212,1186,1159, 1131,1102,1073,1044,1013,983,951,919,887,855,822,789,755,722,688,654,620,586,552, 518,484,451,417,384,351,318,285,253,221,190,159,129,99,69,41,12,-15,-42,-68,-93, -118,-142,-165,-187,-209,-229,-249,-268,-285,-302,-318,-333,-347,-361,-373,-384, -394,-403,-412,-419,-425,-430,-435,-438,-440,-442,-442,-442,-440,-438,-435,-431, -426,-420,-413,-405,-397,-388,-378,-367,-356,-344,-331,-318,-304,-289,-274,-258, -242,-225,-208,-191,-173,-154,-136,-117,-97,-78,-58,-38,-18,2,22,43,63,83,104,124, 144,164,184,204,223,243,262,281,299,317,335,352,369,386,402,418,433,448,462,475, 488,501,513,524,535,545,554,563,571,579,586,592,597,602,606,610,612,615,616,617, 617,616,615,613,610,607,603,599,593,588,581,574,567,559,550,541,532,521,511,500, 488,476,464,451,438,424,411,397,382,368,353,338,322,307,291,275,259,243,227,211, 195,179,163,147,130,115,99,83,67,52,37,21,7,-8,-22,-36,-50,-64,-77,-90,-103,-115, -127,-138,-149,-160,-170,-180,-189,-198,-207,-215,-222,-229,-236,-242,-248,-253, -258,-262,-266,-269,-272,-274,-276,-277,-278,-278,-278,-278,-277,-275,-273,-271, -268,-265,-262,-258,-253,-248,-243,-238,-232,-226,-219,-212,-205,-198,-190,-182, -174,-166,-157,-148,-139,-130,-121,-112,-102,-92,-83,-73,-63,-53,-43,-33,-23,-13,-3, 7,17,27,36,46,55,65,74,83,92,101,109,118,126,134,141,149,156,163,170,177,183,189, 194,200,205,210,214,218,222,226,229,232,234,237,239,240,241,242,243,243,244,243, 243,242,241,239,237,235,233,230,227,224,221,217,213,209,205,200,196,191,186,180, 175,169,163,157,151,145,139,132,126,119,113,106,99,92,85,79,72,65,58,51,44,37,31, 24,17,11,4,-2,-9,-15,-21,-27,-33,-39,-44,-50,-55,-60,-65,-70,-74,-79,-83,-87,-91, -95,-98,-102,-105,-108,-110,-113,-115,-117,-119,-121,-122,-123,-124,-125,-126,-126, -126,-126,-126,-126,-125,-124,-123,-122,-121,-119,-118,-116,-114,-112,-110,-107, -105,-102,-99,-96,-93,-90,-86,-83,-80,-76,-72,-69,-65,-61,-57,-53,-49,-45,-41,-37, -33,-29,-25,-21,-17,-13,-8,-4,0,3,7,11,15,19,22,26,30,33,36,40,43,46,49,52,55,57, 60,62,65,67,69,71,73,74,76,78,79,80,81,82,83,84,84,85,85,85,85,85,85,85,85,84,83, 83,82,81,80,79,77,76,75,73,72,70,68,66,64,62,60,58,56,54,52,49,47,45,42,40,37,35, 32,30,27,25,22,20,17,15,12,10,8,5,3,0,-2,-4,-6,-9,-11,-13,-15,-17,-19,-21,-22,-24, -26,-27,-29,-30,-32,-33,-34,-35,-37,-38,-39,-39,-40,-41,-42,-42,-43,-43,-43,-44, -44,-44,-44,-44,-44,-44,-44,-43,-43,-42,-42,-41,-41,-40,-39,-39,-38,-37,-36,-35, -34,-33,-32,-31,-29,-28,-27,-26,-24,-23,-22,-20,-19,-18,-16,-15,-14,-12,-11,-9,-8, -6,-5,-4,-2,-1,0,2,3,4,6,7,8,9,10,12,13,14,15,16,17,18,18,19,20,21,22,22,23,23,24, 24,25,25,26,26,26,27,27,27,27,27,27,27,27,27,27,27,26,26,26,25,25,25,24,24,23,23, 22,22,21,21,20,19,19,18,17,16,16,15,14,13,13,12,11,10,9,9,8,7,6,5,5,4,3,2,2,1,0, -1,-1,-2,-3,-3,-4,-5,-5,-6,-6,-7,-8,-8,-9,-9,-9,-10,-10,-11,-11,-11,-12,-12,-12, -12,-13,-13,-13,-13,-13,-13,-13,-13,-13,-13,-13,-13,-13,-13,-13,-13,-13,-12,-12, -12,-12,-11,-11,-11,-11,-10,-10,-10,-9,-9,-9,-8,-8,-8,-7,-7,-6,-6,-5,-5,-5,-4,-4, -3,-3,-3,-2,-2,-1,-1,-1,0,0,1,1,1,2,2,2,3,3,3,4,4,4,5,5,5,5,6,6,6,6,6,6,7,7,7,7,7, 7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,6,6,6,6,6,6,5,5,5,5,5,4,4,4,4,4,3,3,3,3,3, 2,2,2,2,2,1,1,1,1,0,0,0,0,0,0,-1,-1,-1,-1,-1,-1,-2,-2,-2,-2,-2,-2,-2,-2,-3,-3,-3, -3,-3,-3,-3,-3,-3,-3,-3,-3,-3,-3,-3,-3,-3,-3,-3,-3,-3,-3,-3,-3,-3,-3,-3,-3,-3,-3, -3,-3,-2,-2,-2,-2,-2,-2,-2,-2,-2,-2,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,0,0,0,0,0,0,0,0, 0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1, 1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1, -1,-1,-1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, }, { 131072,131072,131072,131072,131072,131072,131072,131072,131072,131072,131072, 131072,131071,131071,131071,131071,131071,131071,131071,131071,131071,131071,131071, 131071,131071,131071,131071,131071,131071,131071,131071,131071,131071,131071,131071, 131070,131070,131070,131070,131070,131070,131070,131070,131070,131070,131070,131070, 131070,131070,131070,131070,131070,131070,131070,131070,131070,131070,131069,131069, 131069,131069,131069,131069,131069,131069,131069,131069,131069,131069,131069,131069, 131069,131068,131068,131068,131068,131068,131068,131068,131068,131068,131068,131067, 131067,131067,131067,131067,131067,131067,131066,131066,131066,131066,131066,131065, 131065,131065,131065,131064,131064,131064,131064,131063,131063,131062,131062,131062, 131061,131061,131060,131060,131059,131059,131058,131058,131057,131056,131056,131055, 131054,131053,131052,131052,131051,131050,131049,131048,131046,131045,131044,131043, 131041,131040,131038,131037,131035,131034,131032,131030,131028,131026,131024,131022, 131020,131017,131015,131012,131010,131007,131004,131001,130998,130994,130991,130987, 130984,130980,130976,130972,130968,130963,130959,130954,130949,130944,130938,130933, 130927,130921,130915,130909,130902,130895,130888,130881,130873,130865,130857,130849, 130840,130831,130822,130813,130803,130793,130782,130771,130760,130749,130737,130725, 130712,130699,130685,130672,130657,130643,130628,130612,130596,130580,130563,130545, 130528,130509,130490,130471,130451,130430,130409,130388,130365,130343,130319,130295, 130270,130245,130219,130193,130165,130137,130109,130079,130049,130018,129987,129954, 129921,129887,129853,129817,129781,129744,129706,129667,129627,129587,129545,129503, 129459,129415,129370,129324,129276,129228,129179,129129,129078,129026,128972,128918, 128862,128806,128748,128690,128630,128569,128507,128443,128379,128313,128246,128178, 128109,128038,127966,127893,127819,127743,127667,127588,127509,127428,127346,127262, 127177,127091,127004,126915,126824,126732,126639,126545,126449,126351,126252,126152, 126050,125947,125842,125736,125628,125519,125408,125296,125182,125067,124950,124832, 124712,124591,124468,124344,124218,124090,123961,123830,123698,123564,123429,123292, 123154,123014,122872,122729,122585,122438,122291,122141,121990,121838,121684,121528, 121371,121212,121052,120891,120727,120562,120396,120228,120059,119888,119715,119541, 119366,119189,119011,118831,118649,118467,118282,118097,117909,117721,117531,117339, 117146,116952,116757,116560,116361,116161,115960,115758,115554,115349,115143,114935, 114726,114516,114305,114092,113878,113663,113447,113229,113011,112791,112570,112348, 112124,111900,111675,111448,111220,110992,110762,110531,110300,110067,109833,109598, 109363,109126,108889,108650,108411,108171,107930,107688,107445,107201,106957,106712, 106466,106219,105972,105723,105474,105225,104974,104723,104471,104219,103966,103712, 103458,103203,102948,102692,102435,102178,101920,101662,101403,101144,100885,100624, 100364,100103,99841,99579,99317,99054,98791,98527,98264,97999,97735,97470,97204,96939, 96673,96407,96140,95873,95606,95339,95071,94804,94536,94267,93999,93730,93461,93192, 92923,92653,92383,92114,91844,91573,91303,91033,90762,90491,90220,89949,89678,89407, 89136,88865,88593,88321,88050,87778,87506,87234,86962,86690,86418,86146,85874,85602, 85330,85057,84785,84513,84240,83968,83696,83423,83151,82878,82606,82333,82061,81789, 81516,81244,80971,80699,80427,80154,79882,79610,79337,79065,78793,78521,78249,77977, 77705,77433,77161,76889,76617,76345,76074,75802,75531,75259,74988,74717,74446,74175, 73904,73633,73362,73092,72821,72551,72280,72010,71740,71470,71201,70931,70661,70392, 70123,69854,69585,69317,69048,68780,68512,68244,67976,67709,67441,67174,66907,66641, 66374,66108,65842,65576,65311,65046,64781,64516,64252,63988,63724,63460,63197,62934, 62672,62409,62147,61886,61624,61363,61103,60843,60583,60323,60064,59805,59547,59289, 59031,58774,58517,58261,58005,57749,57494,57239,56985,56731,56478,56225,55973,55721, 55470,55219,54968,54718,54469,54220,53971,53724,53476,53229,52983,52737,52492,52247, 52003,51759,51516,51274,51032,50791,50550,50310,50070,49831,49593,49355,49118,48881, 48645,48410,48175,47941,47707,47474,47242,47010,46779,46549,46319,46090,45861,45633, 45406,45179,44953,44728,44503,44279,44056,43833,43611,43389,43168,42948,42728,42510, 42291,42074,41857,41640,41425,41210,40995,40782,40568,40356,40144,39933,39723,39513, 39304,39095,38887,38680,38473,38267,38062,37857,37653,37449,37247,37044,36843,36642, 36442,36242,36043,35845,35647,35450,35253,35057,34862,34667,34473,34280,34087,33894, 33703,33512,33321,33132,32942,32754,32566,32378,32192,32006,31820,31635,31451,31267, 31084,30901,30719,30538,30357,30177,29997,29818,29640,29462,29285,29108,28932,28756, 28581,28407,28233,28060,27888,27716,27545,27374,27204,27034,26865,26697,26529,26362, 26195,26029,25863,25699,25534,25371,25207,25045,24883,24722,24561,24401,24241,24082, 23924,23766,23609,23453,23297,23142,22987,22833,22679,22526,22374,22222,22071,21921, 21771,21622,21473,21325,21177,21031,20884,20739,20594,20449,20306,20162,20020,19878, 19737,19596,19456,19316,19178,19039,18902,18765,18628,18493,18358,18223,18089,17956, 17823,17691,17560,17429,17299,17169,17040,16912,16784,16657,16531,16405,16280,16155, 16031,15908,15785,15663,15541,15420,15300,15180,15061,14942,14824,14707,14590,14474, 14358,14243,14129,14015,13901,13789,13677,13565,13454,13344,13234,13125,13016,12908, 12801,12694,12588,12482,12377,12272,12168,12064,11961,11859,11757,11655,11554,11454, 11354,11255,11156,11058,10960,10863,10766,10670,10575,10480,10385,10291,10197,10104, 10012,9920,9828,9737,9646,9556,9466,9377,9289,9200,9113,9025,8939,8852,8766,8681, 8596,8512,8428,8344,8261,8178,8096,8014,7933,7852,7772,7692,7612,7533,7455,7376, 7299,7221,7144,7068,6992,6916,6841,6766,6692,6618,6544,6471,6398,6326,6254,6182, 6111,6041,5970,5901,5831,5762,5693,5625,5557,5490,5423,5356,5290,5224,5159,5093, 5029,4965,4901,4837,4774,4711,4649,4587,4525,4464,4404,4343,4283,4224,4164,4105, 4047,3989,3931,3874,3817,3760,3704,3648,3593,3538,3483,3429,3375,3321,3268,3215, 3163,3111,3059,3008,2957,2906,2856,2806,2756,2707,2658,2610,2562,2514,2466,2419, 2373,2326,2280,2235,2189,2144,2100,2056,2012,1968,1925,1882,1839,1797,1755,1714, 1672,1631,1591,1551,1511,1471,1432,1393,1354,1316,1278,1240,1203,1165,1129,1092, 1056,1020,984,949,914,879,845,811,777,743,710,677,644,612,580,548,516,485,454,423, 393,362,332,303,273,244,215,186,158,129,101,74,46,19,-8,-35,-61,-88,-114,-140,-165, -191,-216,-241,-265,-290,-314,-338,-362,-386,-409,-432,-455,-478,-501,-523,-545, -567,-589,-610,-632,-653,-674,-694,-715,-735,-756,-775,-795,-815,-834,-853,-872, -891,-910,-928,-947,-965,-983,-1000,-1018,-1035,-1052,-1069,-1086,-1103,-1119,-1136, -1152,-1168,-1184,-1199,-1215,-1230,-1245,-1260,-1275,-1289,-1304,-1318,-1332,-1346, -1360,-1373,-1387,-1400,-1413,-1426,-1439,-1452,-1464,-1477,-1489,-1501,-1513,-1524, -1536,-1547,-1558,-1570,-1581,-1591,-1602,-1612,-1623,-1633,-1643,-1653,-1663,-1672, -1682,-1691,-1700,-1709,-1718,-1727,-1735,-1744,-1752,-1760,-1768,-1776,-1784,-1792, -1799,-1807,-1814,-1821,-1828,-1835,-1842,-1848,-1855,-1861,-1867,-1873,-1879,-1885, -1891,-1896,-1902,-1907,-1913,-1918,-1923,-1928,-1932,-1937,-1942,-1946,-1950,-1955, -1959,-1963,-1967,-1971,-1974,-1978,-1981,-1985,-1988,-1991,-1994,-1997,-2000,-2003, -2006,-2009,-2011,-2013,-2016,-2018,-2020,-2022,-2024,-2026,-2028,-2030,-2032,-2033, -2035,-2036,-2037,-2039,-2040,-2041,-2042,-2043,-2044,-2045,-2045,-2046,-2047,-2047, -2048,-2048,-2048,-2049,-2049,-2049,-2049,-2049,-2049,-2049,-2049,-2048,-2048,-2048, -2047,-2047,-2046,-2046,-2045,-2044,-2043,-2043,-2042,-2041,-2040,-2039,-2038,-2036, -2035,-2034,-2033,-2031,-2030,-2028,-2027,-2025,-2024,-2022,-2020,-2019,-2017,-2015, -2013,-2011,-2009,-2007,-2005,-2003,-2001,-1998,-1996,-1994,-1992,-1989,-1987,-1984, -1982,-1979,-1977,-1974,-1971,-1969,-1966,-1963,-1960,-1957,-1954,-1952,-1949,-1946, -1942,-1939,-1936,-1933,-1930,-1927,-1923,-1920,-1917,-1913,-1910,-1906,-1903,-1899, -1896,-1892,-1889,-1885,-1881,-1878,-1874,-1870,-1866,-1863,-1859,-1855,-1851,-1847, -1843,-1839,-1835,-1831,-1827,-1823,-1819,-1814,-1810,-1806,-1802,-1798,-1793,-1789, -1785,-1780,-1776,-1771,-1767,-1763,-1758,-1754,-1749,-1745,-1740,-1736,-1731,-1726, -1722,-1717,-1713,-1708,-1703,-1698,-1694,-1689,-1684,-1680,-1675,-1670,-1665,-1660, -1656,-1651,-1646,-1641,-1636,-1631,-1626,-1622,-1617,-1612,-1607,-1602,-1597,-1592, -1587,-1582,-1577,-1572,-1567,-1562,-1557,-1552,-1547,-1542,-1537,-1532,-1527,-1522, -1517,-1512,-1507,-1502,-1497,-1492,-1487,-1482,-1477,-1471,-1466,-1461,-1456,-1451, -1446,-1441,-1436,-1431,-1426,-1421,-1416,-1411,-1406,-1401,-1395,-1390,-1385,-1380, -1375,-1370,-1365,-1360,-1355,-1350,-1345,-1340,-1335,-1330,-1325,-1320,-1315,-1310, -1305,-1300,-1295,-1290,-1285,-1280,-1275,-1270,-1265,-1260,-1255,-1250,-1245,-1240, -1235,-1230,-1225,-1220,-1215,-1210,-1205,-1200,-1195,-1190,-1185,-1180,-1175,-1171, -1166,-1161,-1156,-1151,-1146,-1141,-1136,-1131,-1127,-1122,-1117,-1112,-1107,-1102, -1098,-1093,-1088,-1083,-1078,-1074,-1069,-1064,-1059,-1055,-1050,-1045,-1040,-1036, -1031,-1026,-1022,-1017,-1012,-1007,-1003,-998,-994,-989,-984,-980,-975,-970,-966, -961,-957,-952,-948,-943,-938,-934,-929,-925,-920,-916,-911,-907,-902,-898,-894, -889,-885,-880,-876,-872,-867,-863,-858,-854,-850,-845,-841,-837,-833,-828,-824, -820,-816,-811,-807,-803,-799,-795,-790,-786,-782,-778,-774,-770,-766,-762,-757, -753,-749,-745,-741,-737,-733,-729,-725,-721,-717,-714,-710,-706,-702,-698,-694, -690,-686,-683,-679,-675,-671,-667,-664,-660,-656,-652,-649,-645,-641,-638,-634, -630,-627,-623,-620,-616,-612,-609,-605,-602,-598,-595,-591,-588,-584,-581,-577, -574,-571,-567,-564,-560,-557,-554,-550,-547,-544,-540,-537,-534,-530,-527,-524, -521,-518,-514,-511,-508,-505,-502,-499,-495,-492,-489,-486,-483,-480,-477,-474, -471,-468,-465,-462,-459,-456,-453,-450,-447,-444,-441,-438,-435,-433,-430,-427, -424,-421,-418,-416,-413,-410,-407,-405,-402,-399,-396,-394,-391,-388,-386,-383, -380,-378,-375,-373,-370,-367,-365,-362,-360,-357,-355,-352,-350,-347,-345,-342, -340,-337,-335,-333,-330,-328,-325,-323,-321,-318,-316,-314,-311,-309,-307,-305, -302,-300,-298,-296,-293,-291,-289,-287,-285,-282,-280,-278,-276,-274,-272,-270, -268,-266,-264,-261,-259,-257,-255,-253,-251,-249,-247,-246,-244,-242,-240,-238, -236,-234,-232,-230,-228,-227,-225,-223,-221,-219,-217,-216,-214,-212,-210,-209, -207,-205,-203,-202,-200,-198,-197,-195,-193,-192,-190,-188,-187,-185,-184,-182, -180,-179,-177,-176,-174,-173,-171,-170,-168,-167,-165,-164,-162,-161,-159,-158, -156,-155,-154,-152,-151,-149,-148,-147,-145,-144,-143,-141,-140,-139,-137,-136, -135,-133,-132,-131,-130,-128,-127,-126,-125,-123,-122,-121,-120,-119,-117,-116, -115,-114,-113,-112,-111,-109,-108,-107,-106,-105,-104,-103,-102,-101,-100,-99,-98, -97,-96,-95,-94,-93,-92,-91,-90,-89,-88,-87,-86,-85,-84,-83,-82,-81,-80,-79,-78, -78,-77,-76,-75,-74,-73,-72,-71,-71,-70,-69,-68,-67,-67,-66,-65,-64,-63,-63,-62, -61,-60,-60,-59,-58,-58,-57,-56,-55,-55,-54,-53,-53,-52,-51,-51,-50,-49,-49,-48, -47,-47,-46,-45,-45,-44,-44,-43,-42,-42,-41,-41,-40,-40,-39,-38,-38,-37,-37,-36, -36,-35,-35,-34,-34,-33,-33,-32,-32,-31,-31,-30,-30,-29,-29,-28,-28,-28,-27,-27, -26,-26,-25,-25,-25,-24,-24,-23,-23,-23,-22,-22,-21,-21,-21,-20,-20,-20,-19,-19, -19,-18,-18,-17,-17,-17,-17,-16,-16,-16,-15,-15,-15,-14,-14,-14,-13,-13,-13,-13, -12,-12,-12,-12,-11,-11,-11,-11,-10,-10,-10,-10,-9,-9,-9,-9,-9,-8,-8,-8,-8,-7,-7, -7,-7,-7,-7,-6,-6,-6,-6,-6,-5,-5,-5,-5,-5,-5,-5,-4,-4,-4,-4,-4,-4,-4,-3,-3,-3,-3, -3,-3,-3,-3,-3,-2,-2,-2,-2,-2,-2,-2,-2,-2,-2,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1, -1,-1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, }, { 131072,131072,131072,131072,131072,131072,131072,131072,131072,131072,131072, 131072,131072,131072,131071,131071,131071,131071,131071,131071,131070,131070,131070, 131070,131069,131069,131069,131068,131068,131067,131066,131066,131065,131064,131063, 131062,131061,131059,131058,131056,131055,131053,131051,131049,131046,131044,131041, 131038,131035,131031,131028,131024,131019,131015,131010,131004,130998,130992,130986, 130979,130971,130963,130955,130945,130936,130925,130914,130903,130890,130877,130863, 130849,130833,130816,130799,130781,130761,130740,130719,130696,130672,130646,130619, 130591,130562,130531,130498,130463,130427,130390,130350,130308,130265,130219,130172, 130122,130069,130015,129958,129898,129836,129772,129704,129633,129560,129483,129404, 129321,129235,129145,129051,128954,128854,128749,128640,128527,128410,128289,128163, 128033,127898,127758,127613,127463,127308,127147,126982,126810,126633,126450,126261, 126066,125864,125657,125443,125222,124994,124759,124518,124269,124013,123749,123478, 123199,122912,122617,122314,122003,121683,121355,121017,120672,120317,119953,119579, 119197,118805,118403,117992,117570,117139,116698,116246,115784,115312,114829,114336, 113831,113316,112790,112253,111705,111145,110575,109992,109399,108794,108177,107549, 106909,106257,105594,104918,104231,103532,102821,102098,101363,100616,99858,99087, 98304,97510,96703,95885,95054,94212,93358,92493,91616,90727,89827,88915,87992,87058, 86113,85157,84190,83212,82224,81225,80216,79196,78167,77128,76079,75021,73953,72877, 71792,70698,69596,68485,67367,66241,65108,63967,62820,61666,60506,59339,58168,56990, 55808,54621,53429,52234,51034,49832,48626,47417,46206,44994,43779,42563,41347,40130, 38913,37696,36480,35265,34052,32841,31632,30426,29223,28023,26828,25637,24451,23270, 22095,20926,19764,18609,17461,16321,15190,14067,12953,11849,10755,9671,8598,7537, 6487,5449,4423,3410,2411,1425,453,-504,-1447,-2375,-3287,-4184,-5064,-5928,-6775, -7605,-8417,-9212,-9989,-10747,-11487,-12208,-12910,-13592,-14255,-14898,-15521, -16124,-16706,-17268,-17809,-18329,-18829,-19306,-19763,-20198,-20612,-21004,-21374, -21723,-22050,-22355,-22639,-22900,-23140,-23358,-23555,-23729,-23883,-24014,-24124, -24213,-24281,-24328,-24353,-24359,-24343,-24307,-24251,-24175,-24079,-23964,-23830, -23677,-23505,-23314,-23106,-22879,-22636,-22375,-22097,-21804,-21494,-21168,-20827, -20472,-20102,-19718,-19320,-18909,-18486,-18050,-17603,-17144,-16674,-16194,-15705, -15205,-14697,-14181,-13657,-13125,-12587,-12042,-11491,-10936,-10375,-9810,-9242, -8670,-8096,-7520,-6942,-6363,-5783,-5204,-4625,-4047,-3471,-2897,-2325,-1756,-1191, -630,-74,477,1023,1563,2096,2623,3142,3654,4157,4652,5138,5614,6081,6537,6983,7418, 7842,8255,8655,9044,9420,9783,10134,10471,10795,11105,11401,11684,11952,12205,12444, 12669,12878,13073,13252,13417,13567,13701,13820,13924,14012,14086,14144,14187,14215, 14228,14226,14209,14178,14132,14071,13996,13907,13805,13688,13558,13415,13259,13089, 12908,12714,12508,12290,12061,11821,11570,11309,11038,10756,10466,10166,9858,9542, 9218,8886,8547,8201,7850,7492,7129,6761,6388,6011,5631,5247,4860,4471,4080,3687, 3294,2899,2504,2110,1716,1323,931,541,154,-231,-613,-991,-1365,-1736,-2101,-2462, -2817,-3166,-3510,-3847,-4177,-4500,-4816,-5124,-5424,-5716,-5999,-6273,-6539,-6795, -7042,-7279,-7506,-7722,-7929,-8125,-8310,-8485,-8649,-8802,-8943,-9074,-9193,-9300, -9397,-9481,-9555,-9617,-9667,-9706,-9733,-9749,-9754,-9748,-9730,-9701,-9661,-9610, -9548,-9476,-9393,-9300,-9196,-9083,-8960,-8827,-8685,-8534,-8373,-8204,-8027,-7842, -7648,-7447,-7238,-7023,-6801,-6572,-6337,-6096,-5849,-5598,-5341,-5080,-4815,-4545, -4273,-3997,-3718,-3436,-3153,-2867,-2581,-2293,-2004,-1715,-1425,-1136,-848,-560, -274,11,293,574,852,1127,1399,1667,1932,2192,2448,2699,2946,3187,3423,3653,3877, 4095,4306,4511,4709,4900,5084,5261,5430,5591,5744,5889,6026,6155,6276,6388,6492, 6587,6673,6750,6819,6879,6931,6973,7007,7031,7047,7055,7053,7043,7024,6997,6962, 6918,6866,6805,6737,6661,6577,6486,6387,6281,6168,6048,5922,5789,5650,5504,5353, 5196,5034,4866,4694,4517,4336,4150,3960,3767,3571,3371,3168,2963,2755,2546,2334, 2122,1907,1692,1477,1261,1044,828,612,397,183,-30,-241,-451,-659,-864,-1067,-1268, -1465,-1659,-1850,-2037,-2221,-2400,-2575,-2746,-2912,-3073,-3230,-3381,-3527,-3667, -3802,-3931,-4054,-4172,-4283,-4388,-4487,-4579,-4665,-4745,-4818,-4884,-4944,-4997, -5043,-5082,-5115,-5141,-5160,-5173,-5179,-5178,-5171,-5157,-5136,-5110,-5076,-5037, -4991,-4940,-4882,-4819,-4749,-4675,-4594,-4509,-4418,-4322,-4221,-4116,-4006,-3891, -3772,-3650,-3523,-3393,-3259,-3123,-2983,-2840,-2694,-2546,-2396,-2244,-2090,-1934, -1777,-1619,-1459,-1299,-1139,-978,-817,-655,-495,-334,-175,-16,141,298,452,605,757, 906,1053,1197,1339,1478,1615,1748,1878,2004,2127,2247,2362,2474,2582,2685,2785, 2880,2970,3056,3137,3214,3286,3353,3415,3473,3525,3572,3615,3652,3684,3711,3733, 3750,3762,3769,3771,3768,3760,3747,3729,3707,3680,3648,3611,3570,3525,3476,3422, 3364,3302,3236,3166,3093,3016,2936,2852,2766,2676,2583,2488,2390,2290,2187,2082, 1976,1867,1757,1645,1532,1418,1303,1187,1070,952,835,717,599,481,363,246,129,13, -102,-216,-329,-440,-550,-659,-766,-871,-974,-1075,-1174,-1270,-1364,-1456,-1544, -1630,-1714,-1794,-1871,-1945,-2016,-2084,-2148,-2209,-2267,-2321,-2372,-2418,-2462, -2502,-2538,-2570,-2599,-2624,-2645,-2662,-2676,-2686,-2693,-2695,-2694,-2690,-2682, -2670,-2655,-2636,-2614,-2589,-2560,-2528,-2493,-2455,-2414,-2370,-2323,-2274,-2221, -2167,-2109,-2050,-1988,-1923,-1857,-1789,-1719,-1647,-1574,-1499,-1422,-1345,-1266, -1186,-1105,-1023,-941,-858,-774,-690,-606,-522,-438,-354,-270,-187,-104,-21,61,142, 222,301,379,456,532,606,679,750,820,888,954,1018,1081,1141,1199,1255,1309,1361, 1410,1457,1502,1544,1584,1621,1655,1687,1717,1743,1768,1789,1808,1824,1838,1849, 1857,1863,1866,1867,1864,1860,1853,1843,1831,1816,1800,1780,1759,1735,1709,1681, 1651,1619,1585,1549,1511,1472,1431,1388,1344,1298,1251,1202,1153,1102,1050,997,943, 889,833,778,721,664,607,549,491,433,375,317,259,201,143,86,29,-27,-83,-138,-193, -246,-299,-351,-402,-452,-501,-548,-595,-640,-684,-726,-767,-807,-845,-882,-917, -950,-982,-1012,-1040,-1067,-1091,-1115,-1136,-1155,-1173,-1189,-1203,-1215,-1226, -1235,-1241,-1246,-1250,-1251,-1251,-1249,-1245,-1239,-1232,-1223,-1213,-1201,-1187, -1172,-1155,-1137,-1117,-1096,-1074,-1051,-1026,-1000,-973,-944,-915,-885,-854,-822, -789,-755,-720,-685,-650,-613,-577,-539,-502,-464,-426,-387,-349,-310,-272,-233, -194,-156,-118,-80,-42,-4,33,69,105,141,176,210,244,277,309,341,372,401,430,458,485, 512,537,561,584,606,626,646,665,682,698,713,727,740,751,762,771,778,785,791,795, 798,800,801,800,799,796,792,787,781,774,766,757,747,736,724,711,697,682,667,650, 633,616,597,578,558,538,517,496,474,452,429,406,382,359,335,311,286,262,237,213, 188,163,139,114,90,65,41,17,-6,-30,-53,-75,-98,-120,-141,-162,-183,-203,-222,-241, -260,-277,-295,-311,-327,-342,-357,-371,-384,-396,-408,-419,-429,-439,-448,-456, -463,-469,-475,-480,-484,-488,-490,-492,-493,-494,-493,-492,-491,-488,-485,-481, -477,-472,-466,-460,-453,-445,-437,-428,-419,-410,-399,-389,-378,-366,-354,-342, -329,-316,-303,-290,-276,-262,-248,-233,-218,-204,-189,-174,-159,-144,-129,-114,-99, -84,-69,-54,-39,-24,-10,4,18,32,46,59,73,85,98,110,122,134,145,156,167,177,186,196, 205,213,221,229,236,243,249,255,260,265,269,273,277,280,282,284,286,287,288,288, 288,287,286,285,283,281,278,275,272,268,264,259,254,249,244,238,232,225,219,212, 205,198,190,182,175,167,158,150,142,133,125,116,107,98,90,81,72,63,54,46,37,28,20, 11,3,-5,-13,-21,-29,-37,-45,-52,-59,-66,-73,-79,-86,-92,-98,-104,-109,-114,-119, -124,-128,-132,-136,-140,-143,-146,-149,-152,-154,-156,-158,-159,-160,-161,-162, -162,-163,-162,-162,-161,-161,-159,-158,-157,-155,-153,-151,-148,-146,-143,-140, -137,-133,-130,-126,-122,-118,-114,-110,-106,-101,-97,-92,-88,-83,-78,-73,-68,-64, -59,-54,-49,-44,-39,-34,-29,-24,-19,-14,-9,-5,0,5,9,14,18,22,26,30,34,38,42,45,49, 52,55,58,61,64,67,69,72,74,76,78,79,81,82,84,85,86,86,87,88,88,88,88,88,88,88,87, 87,86,85,84,83,82,80,79,77,75,74,72,70,68,66,64,61,59,57,54,52,49,47,44,42,39,36, 34,31,28,25,23,20,17,15,12,9,7,4,2,-1,-3,-6,-8,-10,-12,-15,-17,-19,-21,-23,-25, -26,-28,-30,-31,-33,-34,-36,-37,-38,-39,-40,-41,-42,-43,-43,-44,-45,-45,-45,-46, -46,-46,-46,-46,-46,-46,-45,-45,-45,-44,-44,-43,-42,-42,-41,-40,-39,-38,-37,-36, -35,-34,-33,-32,-30,-29,-28,-27,-25,-24,-23,-21,-20,-18,-17,-16,-14,-13,-11,-10,-9, -7,-6,-5,-3,-2,-1,1,2,3,4,5,7,8,9,10,11,12,13,14,14,15,16,17,17,18,19,19,20,20,21, 21,21,22,22,22,22,22,23,23,23,23,23,22,22,22,22,22,21,21,21,20,20,20,19,19,18,18, 17,16,16,15,15,14,13,13,12,11,11,10,9,9,8,7,7,6,5,5,4,3,3,2,1,1,0,-1,-1,-2,-2,-3, -3,-4,-4,-5,-5,-6,-6,-7,-7,-7,-8,-8,-8,-9,-9,-9,-9,-10,-10,-10,-10,-10,-10,-10, -10,-11,-11,-11,-11,-10,-10,-10,-10,-10,-10,-10,-10,-10,-9,-9,-9,-9,-8,-8,-8,-8,-7, -7,-7,-7,-6,-6,-6,-5,-5,-5,-4,-4,-4,-3,-3,-3,-2,-2,-2,-2,-1,-1,-1,0,0,0,0,1,1,1,2, 2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,5,5,5,5,5,5,4,4,4,4,4,4,4,4,4,4,4,4, 4,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,-1,-1,-1,-1,-1, -1,-1,-1,-1,-1,-1,-1,-2,-2,-2,-2,-2,-2,-2,-2,-2,-2,-2,-2,-2,-2,-2,-2,-2,-2,-2,-2, -2,-2,-2,-2,-2,-2,-2,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1, 1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0, }, { 131072,131072,131072,131072,131072,131072,131072,131072,131072,131072,131072, 131072,131072,131072,131072,131072,131072,131072,131072,131072,131072,131072,131072, 131072,131072,131072,131072,131072,131072,131072,131071,131071,131071,131071,131071, 131071,131071,131071,131071,131071,131071,131071,131071,131071,131071,131071,131071, 131071,131071,131071,131071,131071,131071,131071,131071,131071,131071,131071,131071, 131071,131071,131071,131071,131071,131070,131070,131070,131070,131070,131070,131070, 131070,131070,131070,131070,131069,131069,131069,131069,131069,131069,131068,131068, 131068,131068,131068,131067,131067,131067,131066,131066,131066,131065,131065,131064, 131064,131064,131063,131062,131062,131061,131061,131060,131059,131058,131058,131057, 131056,131055,131054,131053,131052,131051,131049,131048,131047,131045,131044,131042, 131040,131039,131037,131035,131033,131031,131028,131026,131024,131021,131018,131015, 131012,131009,131006,131003,130999,130995,130991,130987,130983,130978,130974,130969, 130964,130959,130953,130947,130941,130935,130929,130922,130915,130908,130900,130892, 130884,130876,130867,130858,130848,130838,130828,130817,130806,130795,130783,130771, 130758,130745,130731,130717,130702,130687,130671,130655,130638,130621,130603,130585, 130566,130546,130526,130505,130483,130461,130437,130414,130389,130364,130338,130311, 130283,130255,130225,130195,130164,130132,130099,130065,130031,129995,129958,129920, 129881,129841,129800,129758,129715,129671,129625,129578,129531,129481,129431,129379, 129326,129272,129216,129159,129101,129041,128980,128918,128853,128788,128721,128652, 128582,128510,128437,128362,128285,128206,128126,128045,127961,127876,127789,127700, 127609,127517,127422,127326,127228,127128,127026,126922,126816,126708,126598,126486, 126371,126255,126137,126016,125894,125769,125642,125513,125382,125248,125112,124974, 124834,124691,124546,124399,124250,124098,123944,123787,123628,123467,123303,123137, 122969,122798,122625,122449,122271,122090,121907,121722,121534,121343,121150,120955, 120757,120557,120354,120149,119941,119731,119519,119304,119086,118866,118644,118419, 118192,117962,117730,117495,117258,117019,116777,116533,116287,116038,115787,115533, 115277,115019,114759,114496,114232,113965,113695,113424,113150,112874,112597,112317, 112035,111750,111464,111176,110886,110594,110300,110004,109706,109406,109105,108801, 108496,108189,107881,107571,107259,106945,106630,106313,105995,105675,105354,105032, 104708,104382,104056,103728,103398,103068,102736,102403,102070,101735,101398,101061, 100723,100384,100044,99704,99362,99020,98676,98333,97988,97643,97297,96950,96603, 96256,95908,95559,95211,94861,94512,94162,93812,93461,93111,92760,92409,92058,91707, 91356,91005,90654,90303,89952,89601,89250,88899,88549,88199,87849,87499,87150,86801, 86452,86104,85756,85408,85061,84715,84369,84023,83678,83334,82990,82646,82304,81962, 81620,81279,80939,80600,80261,79923,79586,79249,78914,78579,78244,77911,77578,77247, 76916,76585,76256,75927,75600,75273,74947,74622,74297,73974,73651,73329,73008,72688, 72369,72051,71733,71417,71101,70786,70472,70159,69847,69535,69225,68915,68606,68298, 67990,67684,67378,67073,66769,66466,66163,65861,65560,65260,64960,64661,64363,64066, 63769,63473,63178,62884,62590,62296,62004,61712,61421,61130,60840,60550,60262,59973, 59686,59399,59112,58826,58541,58256,57972,57688,57405,57122,56840,56558,56277,55996, 55715,55436,55156,54877,54599,54321,54043,53766,53490,53213,52938,52662,52387,52113, 51839,51565,51292,51019,50747,50475,50203,49932,49661,49391,49121,48852,48583,48314, 48046,47778,47511,47244,46978,46712,46446,46181,45917,45653,45389,45126,44864,44601, 44340,44079,43818,43558,43299,43040,42782,42524,42267,42010,41754,41499,41244,40990, 40737,40484,40232,39980,39729,39479,39230,38981,38733,38486,38239,37994,37749,37504, 37261,37018,36777,36536,36296,36056,35818,35580,35343,35108,34873,34639,34405,34173, 33942,33712,33482,33254,33026,32800,32574,32349,32126,31903,31682,31461,31242,31023, 30806,30589,30374,30160,29946,29734,29523,29313,29104,28896,28689,28483,28278,28074, 27872,27670,27470,27270,27072,26875,26678,26483,26289,26096,25904,25713,25524,25335, 25147,24961,24775,24591,24407,24225,24043,23863,23684,23505,23328,23152,22976,22802, 22628,22456,22285,22114,21945,21776,21608,21442,21276,21111,20947,20784,20622,20460, 20300,20140,19981,19823,19666,19510,19355,19200,19046,18893,18741,18589,18438,18288, 18139,17990,17843,17696,17549,17403,17258,17114,16970,16827,16685,16543,16402,16262, 16122,15983,15845,15707,15569,15433,15296,15161,15026,14891,14758,14624,14492,14359, 14228,14097,13966,13836,13707,13578,13449,13321,13194,13067,12941,12815,12689,12565, 12440,12317,12193,12071,11948,11826,11705,11584,11464,11344,11225,11107,10988,10871, 10753,10637,10521,10405,10290,10175,10061,9948,9835,9722,9610,9499,9388,9278,9168, 9059,8950,8842,8735,8628,8522,8416,8311,8206,8102,7998,7896,7793,7692,7591,7490, 7390,7291,7192,7094,6997,6900,6804,6709,6614,6520,6426,6333,6241,6149,6058,5968, 5878,5789,5700,5613,5526,5439,5353,5268,5184,5100,5017,4935,4853,4772,4691,4611, 4532,4454,4376,4299,4222,4146,4071,3997,3923,3849,3777,3705,3634,3563,3493,3423, 3354,3286,3219,3152,3085,3020,2954,2890,2826,2762,2700,2637,2576,2515,2454,2394, 2335,2276,2218,2160,2102,2046,1989,1934,1878,1824,1769,1716,1662,1610,1557,1505, 1454,1403,1352,1302,1253,1203,1155,1106,1058,1011,963,917,870,824,778,733,688,643, 599,555,512,468,425,383,341,299,257,216,175,134,93,53,13,-26,-65,-105,-143,-182, -220,-258,-296,-333,-370,-407,-444,-480,-516,-552,-588,-623,-659,-694,-728,-763, -797,-831,-865,-898,-932,-965,-997,-1030,-1062,-1094,-1126,-1158,-1189,-1220,-1251, -1282,-1312,-1343,-1373,-1402,-1432,-1461,-1490,-1519,-1547,-1575,-1603,-1631,-1659, -1686,-1713,-1739,-1766,-1792,-1818,-1844,-1869,-1894,-1919,-1944,-1968,-1992,-2016, -2039,-2063,-2086,-2108,-2131,-2153,-2175,-2196,-2218,-2239,-2259,-2280,-2300,-2320, -2339,-2359,-2378,-2396,-2415,-2433,-2451,-2469,-2486,-2503,-2520,-2536,-2552,-2568, -2584,-2599,-2614,-2629,-2644,-2658,-2672,-2686,-2699,-2712,-2725,-2738,-2750,-2762, -2774,-2786,-2797,-2808,-2819,-2829,-2840,-2850,-2860,-2869,-2878,-2888,-2896,-2905, -2914,-2922,-2930,-2938,-2945,-2953,-2960,-2967,-2973,-2980,-2986,-2992,-2998,-3004, -3010,-3015,-3020,-3026,-3030,-3035,-3040,-3044,-3048,-3053,-3057,-3060,-3064,-3068, -3071,-3074,-3077,-3080,-3083,-3086,-3089,-3091,-3094,-3096,-3098,-3100,-3102,-3104, -3106,-3108,-3109,-3111,-3112,-3113,-3115,-3116,-3117,-3118,-3119,-3120,-3120,-3121, -3122,-3122,-3123,-3123,-3123,-3124,-3124,-3124,-3124,-3124,-3124,-3124,-3124,-3123, -3123,-3123,-3122,-3122,-3121,-3121,-3120,-3120,-3119,-3118,-3117,-3116,-3115,-3114, -3113,-3112,-3111,-3110,-3108,-3107,-3105,-3104,-3102,-3101,-3099,-3097,-3096,-3094, -3092,-3090,-3088,-3086,-3083,-3081,-3079,-3076,-3074,-3071,-3069,-3066,-3063,-3061, -3058,-3055,-3052,-3049,-3045,-3042,-3039,-3035,-3032,-3028,-3025,-3021,-3017,-3013, -3010,-3005,-3001,-2997,-2993,-2989,-2984,-2980,-2975,-2971,-2966,-2961,-2956,-2951, -2946,-2941,-2936,-2931,-2925,-2920,-2915,-2909,-2903,-2898,-2892,-2886,-2880,-2874, -2868,-2862,-2856,-2850,-2843,-2837,-2830,-2824,-2817,-2811,-2804,-2797,-2791,-2784, -2777,-2770,-2763,-2756,-2749,-2742,-2734,-2727,-2720,-2713,-2705,-2698,-2690,-2683, -2675,-2668,-2660,-2653,-2645,-2637,-2630,-2622,-2614,-2606,-2599,-2591,-2583,-2575, -2567,-2559,-2551,-2544,-2536,-2528,-2520,-2512,-2504,-2496,-2488,-2480,-2472,-2464, -2456,-2448,-2440,-2432,-2424,-2416,-2408,-2400,-2392,-2384,-2376,-2368,-2360,-2352, -2344,-2336,-2328,-2321,-2313,-2305,-2297,-2289,-2281,-2273,-2266,-2258,-2250,-2242, -2234,-2227,-2219,-2211,-2203,-2196,-2188,-2180,-2172,-2165,-2157,-2149,-2142,-2134, -2127,-2119,-2111,-2104,-2096,-2089,-2081,-2074,-2066,-2059,-2051,-2044,-2036,-2029, -2021,-2014,-2006,-1999,-1991,-1984,-1976,-1969,-1962,-1954,-1947,-1939,-1932,-1925, -1917,-1910,-1902,-1895,-1888,-1880,-1873,-1865,-1858,-1851,-1843,-1836,-1829,-1821, -1814,-1806,-1799,-1792,-1784,-1777,-1770,-1762,-1755,-1747,-1740,-1733,-1725,-1718, -1711,-1703,-1696,-1689,-1681,-1674,-1667,-1659,-1652,-1644,-1637,-1630,-1622,-1615, -1608,-1600,-1593,-1586,-1578,-1571,-1564,-1556,-1549,-1542,-1535,-1527,-1520,-1513, -1506,-1498,-1491,-1484,-1477,-1469,-1462,-1455,-1448,-1441,-1433,-1426,-1419,-1412, -1405,-1398,-1391,-1384,-1377,-1370,-1363,-1356,-1349,-1342,-1335,-1328,-1321,-1314, -1307,-1300,-1293,-1287,-1280,-1273,-1266,-1260,-1253,-1246,-1240,-1233,-1226,-1220, -1213,-1207,-1200,-1193,-1187,-1181,-1174,-1168,-1161,-1155,-1149,-1142,-1136,-1130, -1123,-1117,-1111,-1105,-1099,-1093,-1087,-1081,-1074,-1068,-1062,-1057,-1051,-1045, -1039,-1033,-1027,-1021,-1015,-1010,-1004,-998,-992,-987,-981,-976,-970,-964,-959, -953,-948,-942,-937,-931,-926,-920,-915,-910,-904,-899,-894,-888,-883,-878,-873, -868,-862,-857,-852,-847,-842,-837,-832,-827,-822,-817,-812,-807,-802,-797,-792, -787,-782,-777,-772,-768,-763,-758,-753,-748,-744,-739,-734,-729,-725,-720,-715, -711,-706,-702,-697,-692,-688,-683,-679,-674,-670,-665,-661,-657,-652,-648,-643, -639,-635,-630,-626,-622,-617,-613,-609,-605,-600,-596,-592,-588,-584,-579,-575, -571,-567,-563,-559,-555,-551,-547,-543,-539,-535,-531,-527,-523,-519,-516,-512, -508,-504,-500,-497,-493,-489,-485,-482,-478,-474,-471,-467,-463,-460,-456,-453, -449,-446,-442,-439,-435,-432,-428,-425,-422,-418,-415,-412,-408,-405,-402,-399, -395,-392,-389,-386,-383,-379,-376,-373,-370,-367,-364,-361,-358,-355,-352,-349, -346,-343,-340,-338,-335,-332,-329,-326,-323,-321,-318,-315,-312,-310,-307,-304, -302,-299,-296,-294,-291,-289,-286,-283,-281,-278,-276,-273,-271,-268,-266,-264, -261,-259,-256,-254,-252,-249,-247,-245,-242,-240,-238,-236,-233,-231,-229,-227, -224,-222,-220,-218,-216,-214,-212,-209,-207,-205,-203,-201,-199,-197,-195,-193, -191,-189,-187,-185,-183,-181,-180,-178,-176,-174,-172,-170,-168,-166,-165,-163, -161,-159,-157,-156,-154,-152,-151,-149,-147,-145,-144,-142,-140,-139,-137,-136, -134,-132,-131,-129,-128,-126,-124,-123,-121,-120,-118,-117,-115,-114,-113,-111, -110,-108,-107,-105,-104,-103,-101,-100,-99,-97,-96,-95,-93,-92,-91,-89,-88,-87,-86, -84,-83,-82,-81,-80,-78,-77,-76,-75,-74,-73,-71,-70,-69,-68,-67,-66,-65,-64,-63, -62,-61,-60,-59,-58,-57,-56,-55,-54,-53,-52,-51,-50,-49,-48,-47,-46,-46,-45,-44, -43,-42,-41,-40,-40,-39,-38,-37,-36,-36,-35,-34,-33,-32,-32,-31,-30,-30,-29,-28, -27,-27,-26,-25,-25,-24,-23,-23,-22,-21,-21,-20,-19,-19,-18,-18,-17,-16,-16,-15, -15,-14,-14,-13,-12,-12,-11,-11,-10,-10,-9,-9,-8,-8,-7,-7,-6,-6,-5,-5,-5,-4,-4,-3, -3,-2,-2,-1,-1,-1,0,0,0,1,1,2,2,2,3,3,3,4,4,4,5,5,5,6,6,6,7,7,7,7,8,8,8,9,9,9,9, 10,10,10,10,11,11,11,11,11,12,12,12,12,12,13,13,13,13,13,14,14,14,14,14,14,14,15, 15,15,15,15,15,15,16,16,16,16,16,16,16,16,16,16,17,17,17,17,17,17,17,17,17,17,17, 17,17,17,17,17,17,17,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18, 18,18,18,18,18,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,16,16, 16,16,16,16,16,16,16,16,16,16,16,15,15,15,15,15,15,15,15,15,15,14,14,14,14,14,14, 14,14,14,13,13,13,13,13,13,13,13,12,12,12,12,12,12,12,12,11,11,11,11,11,11,11,10, 10,10,10,10,10,10,9,9,9,9,9,9,8,8,8,8,8,8,8,7,7,7,7,7,7,6,6,6,6,6,6,5,5,5,5,5,5,4, 4,4,4,4,4,3,3,3,3,3,2,2,2,2,2,2,1,1,1,1,1,1,0,0,0, }, { 131072,131072,131072,131072,131072,131072,131072,131072,131071,131071,131071, 131071,131071,131070,131070,131070,131069,131069,131068,131068,131067,131066,131066, 131065,131064,131063,131061,131060,131058,131057,131055,131053,131051,131048,131046, 131043,131040,131037,131033,131029,131025,131021,131016,131011,131005,130999,130993, 130986,130978,130970,130962,130953,130943,130933,130922,130910,130897,130884,130870, 130855,130839,130822,130804,130785,130765,130744,130721,130697,130672,130646,130618, 130589,130558,130525,130491,130455,130417,130377,130336,130292,130246,130198,130147, 130095,130039,129982,129921,129858,129792,129723,129651,129576,129497,129416,129330, 129242,129149,129053,128953,128849,128741,128628,128512,128390,128265,128134,127998, 127858,127712,127561,127405,127243,127076,126903,126723,126538,126346,126148,125944, 125733,125515,125290,125058,124818,124572,124317,124055,123785,123508,123222,122927, 122624,122313,121993,121664,121326,120978,120622,120255,119880,119494,119099,118693, 118278,117852,117415,116968,116510,116042,115562,115072,114570,114057,113532,112996, 112448,111889,111317,110734,110139,109532,108912,108280,107636,106980,106311,105630, 104936,104229,103510,102778,102034,101276,100506,99724,98928,98120,97299,96466,95620, 94761,93889,93005,92109,91200,90279,89345,88400,87442,86472,85490,84497,83492,82475, 81447,80408,79358,78297,77225,76142,75050,73947,72834,71712,70580,69439,68289,67130, 65963,64787,63604,62413,61215,60009,58797,57578,56354,55123,53887,52646,51401,50151, 48897,47639,46378,45115,43848,42580,41310,40039,38767,37495,36223,34951,33680,32410, 31142,29877,28614,27354,26098,24846,23598,22355,21118,19887,18662,17444,16233,15030, 13835,12649,11472,10304,9147,8001,6865,5741,4629,3529,2442,1368,308,-738,-1769,-2786, -3787,-4772,-5741,-6693,-7628,-8546,-9447,-10329,-11192,-12037,-12863,-13669,-14455, -15221,-15967,-16692,-17396,-18079,-18741,-19380,-19998,-20593,-21167,-21717,-22245, -22750,-23232,-23690,-24126,-24538,-24926,-25291,-25632,-25949,-26243,-26513,-26759, -26981,-27179,-27354,-27505,-27633,-27737,-27818,-27875,-27910,-27921,-27909,-27875, -27818,-27739,-27638,-27516,-27371,-27206,-27019,-26812,-26584,-26336,-26069,-25782, -25476,-25151,-24808,-24448,-24070,-23674,-23263,-22835,-22391,-21933,-21459,-20972, -20470,-19955,-19428,-18888,-18337,-17775,-17202,-16619,-16027,-15425,-14816,-14199, -13574,-12943,-12306,-11663,-11016,-10364,-9709,-9051,-8390,-7728,-7064,-6400,-5735, -5071,-4408,-3747,-3088,-2432,-1779,-1131,-486,153,786,1413,2034,2647,3253,3850,4439, 5018,5587,6147,6696,7233,7759,8274,8776,9265,9741,10204,10652,11087,11507,11912, 12303,12677,13037,13380,13707,14018,14313,14590,14851,15095,15321,15531,15723,15897, 16055,16194,16316,16420,16507,16577,16628,16663,16679,16679,16661,16627,16575,16507, 16422,16320,16203,16069,15920,15755,15575,15380,15170,14946,14708,14456,14191,13913, 13622,13319,13004,12678,12340,11992,11633,11265,10887,10501,10106,9703,9292,8875, 8451,8021,7585,7145,6699,6250,5797,5341,4883,4422,3960,3497,3033,2570,2106,1644, 1183,724,268,-186,-636,-1082,-1524,-1961,-2393,-2820,-3240,-3654,-4061,-4460,-4852, -5236,-5611,-5977,-6334,-6682,-7019,-7347,-7664,-7970,-8265,-8549,-8822,-9082,-9331, -9567,-9791,-10002,-10200,-10386,-10558,-10718,-10864,-10997,-11116,-11222,-11314, -11393,-11458,-11510,-11548,-11573,-11584,-11582,-11566,-11537,-11496,-11441,-11373, -11293,-11200,-11095,-10978,-10849,-10708,-10556,-10392,-10218,-10032,-9837,-9631, -9415,-9190,-8955,-8712,-8460,-8200,-7931,-7656,-7373,-7083,-6787,-6485,-6177,-5864, -5547,-5224,-4898,-4568,-4235,-3899,-3560,-3220,-2878,-2535,-2191,-1847,-1502,-1158, -816,-474,-134,204,540,872,1202,1528,1849,2167,2480,2788,3091,3388,3678,3963,4241, 4512,4776,5033,5281,5522,5754,5979,6194,6400,6598,6786,6965,7134,7293,7443,7582, 7711,7830,7939,8038,8126,8203,8271,8327,8373,8409,8434,8448,8452,8446,8429,8403, 8366,8319,8262,8195,8119,8033,7938,7834,7721,7599,7469,7330,7183,7028,6865,6695, 6518,6334,6143,5946,5743,5534,5319,5100,4875,4646,4412,4175,3934,3689,3442,3192, 2940,2685,2429,2172,1913,1654,1394,1135,875,616,359,102,-153,-406,-657,-906,-1152, -1394,-1634,-1870,-2101,-2329,-2552,-2771,-2985,-3193,-3396,-3594,-3785,-3971,-4150, -4323,-4490,-4649,-4802,-4947,-5086,-5217,-5340,-5456,-5564,-5665,-5757,-5842,-5919, -5987,-6048,-6101,-6145,-6181,-6209,-6229,-6241,-6245,-6241,-6229,-6210,-6182,-6147, -6104,-6053,-5996,-5930,-5858,-5779,-5693,-5600,-5501,-5395,-5283,-5165,-5041,-4911, -4777,-4637,-4491,-4341,-4187,-4028,-3865,-3699,-3528,-3354,-3177,-2998,-2815,-2630, -2444,-2255,-2064,-1872,-1680,-1486,-1292,-1097,-902,-708,-513,-320,-127,64,254,442, 629,813,995,1174,1351,1525,1695,1862,2026,2185,2341,2493,2640,2783,2921,3054,3183, 3306,3424,3537,3645,3746,3843,3933,4018,4097,4170,4237,4298,4353,4402,4445,4482, 4512,4536,4555,4567,4573,4573,4566,4554,4537,4513,4483,4448,4407,4361,4309,4252, 4190,4122,4050,3973,3891,3805,3714,3619,3520,3417,3310,3200,3086,2969,2849,2726, 2600,2472,2341,2209,2074,1938,1800,1660,1520,1378,1236,1093,950,806,663,520,377,235, 93,-48,-187,-325,-462,-597,-730,-862,-991,-1118,-1242,-1364,-1483,-1599,-1712, -1822,-1929,-2032,-2132,-2228,-2320,-2409,-2494,-2575,-2651,-2724,-2792,-2856,-2916, -2971,-3022,-3069,-3111,-3148,-3181,-3210,-3234,-3253,-3268,-3278,-3284,-3285,-3282, -3275,-3263,-3247,-3227,-3202,-3174,-3141,-3104,-3064,-3019,-2971,-2919,-2864,-2805, -2743,-2678,-2610,-2539,-2464,-2387,-2308,-2226,-2142,-2055,-1966,-1876,-1783,-1689, -1594,-1497,-1399,-1299,-1199,-1098,-996,-894,-791,-689,-586,-483,-380,-278,-176,-75, 26,126,224,322,418,513,606,698,788,877,963,1047,1129,1209,1287,1362,1434,1504, 1572,1637,1698,1757,1814,1867,1917,1964,2008,2049,2086,2121,2152,2180,2205,2227, 2245,2260,2272,2280,2286,2288,2287,2283,2276,2265,2252,2236,2216,2194,2169,2142, 2111,2078,2042,2004,1963,1921,1875,1828,1778,1727,1673,1618,1561,1502,1442,1380, 1317,1253,1187,1120,1053,984,915,846,775,705,633,562,491,419,348,277,206,135,65,-5, -74,-142,-209,-276,-341,-406,-469,-531,-592,-651,-709,-765,-820,-873,-924,-974, -1021,-1067,-1111,-1153,-1193,-1231,-1267,-1301,-1332,-1362,-1389,-1414,-1437,-1457, -1476,-1492,-1505,-1517,-1526,-1534,-1538,-1541,-1542,-1540,-1536,-1530,-1522,-1512, -1500,-1486,-1470,-1452,-1432,-1410,-1387,-1362,-1335,-1306,-1276,-1245,-1212,-1178, -1142,-1105,-1067,-1028,-987,-946,-904,-861,-817,-772,-727,-681,-635,-588,-541,-494, -446,-399,-351,-303,-255,-208,-160,-113,-66,-20,26,72,117,161,205,248,290,331,371, 411,449,486,523,558,592,624,656,686,715,743,769,794,817,839,860,879,897,913,928, 941,953,963,972,979,985,989,992,993,993,992,989,984,979,972,963,954,943,931,917, 903,887,870,852,833,813,792,771,748,724,700,675,649,623,596,568,540,512,483,453, 424,394,363,333,302,272,241,210,180,149,119,88,58,28,-1,-30,-59,-88,-115,-143,-170, -196,-222,-247,-272,-296,-319,-341,-363,-384,-404,-423,-441,-459,-476,-491,-506, -520,-533,-545,-557,-567,-576,-584,-592,-598,-604,-608,-612,-614,-616,-617,-616, -615,-613,-610,-607,-602,-597,-591,-583,-576,-567,-558,-548,-537,-526,-514,-501, -488,-474,-460,-445,-430,-414,-398,-382,-365,-347,-330,-312,-294,-276,-257,-239, -220,-201,-182,-163,-144,-126,-107,-88,-69,-51,-32,-14,4,22,39,56,73,90,106,122,137, 152,167,181,195,208,221,233,245,257,267,277,287,296,305,313,320,327,333,339,344, 348,352,355,358,360,362,363,363,363,362,361,359,357,354,351,347,343,338,333,327, 321,315,308,301,293,285,277,268,259,250,241,231,221,211,201,190,180,169,158,147, 136,125,114,103,91,80,69,58,47,36,25,15,4,-7,-17,-27,-37,-47,-56,-66,-75,-84,-92, -101,-109,-117,-124,-131,-138,-145,-151,-157,-163,-168,-173,-178,-182,-186,-189, -193,-196,-198,-200,-202,-204,-205,-206,-206,-206,-206,-206,-205,-204,-203,-201, -199,-197,-194,-191,-188,-185,-181,-178,-174,-169,-165,-160,-155,-150,-145,-140, -135,-129,-123,-117,-111,-105,-99,-93,-87,-81,-74,-68,-62,-55,-49,-43,-36,-30,-24, -18,-12,-6,0,6,12,18,23,29,34,39,44,49,54,58,63,67,71,75,79,82,86,89,92,95,97,100, 102,104,106,107,109,110,111,112,112,113,113,113,113,113,112,112,111,110,109,107, 106,104,103,101,99,97,94,92,89,87,84,81,78,75,72,69,66,63,60,56,53,50,46,43,39,36, 32,29,25,22,18,15,12,8,5,2,-1,-5,-8,-11,-14,-17,-19,-22,-25,-27,-30,-32,-35,-37, -39,-41,-43,-45,-46,-48,-50,-51,-52,-53,-54,-55,-56,-57,-58,-58,-59,-59,-59,-59, -59,-59,-59,-59,-58,-58,-57,-57,-56,-55,-54,-54,-53,-51,-50,-49,-48,-46,-45,-44, -42,-41,-39,-37,-36,-34,-32,-31,-29,-27,-25,-23,-22,-20,-18,-16,-14,-12,-11,-9,-7, -5,-4,-2,0,1,3,5,6,8,9,11,12,13,15,16,17,18,19,20,21,22,23,24,25,25,26,27,27,28, 28,29,29,29,29,29,30,30,30,30,29,29,29,29,29,28,28,27,27,27,26,25,25,24,24,23,22, 21,21,20,19,18,17,16,16,15,14,13,12,11,10,9,8,7,7,6,5,4,3,2,1,0,0,-1,-2,-3,-3,-4, -5,-6,-6,-7,-7,-8,-9,-9,-10,-10,-11,-11,-11,-12,-12,-12,-13,-13,-13,-13,-14,-14, -14,-14,-14,-14,-14,-14,-14,-14,-14,-14,-14,-13,-13,-13,-13,-13,-12,-12,-12,-11, -11,-11,-10,-10,-10,-9,-9,-9,-8,-8,-7,-7,-6,-6,-6,-5,-5,-4,-4,-3,-3,-3,-2,-2,-1,-1, -1,0,0,1,1,1,2,2,2,3,3,3,3,4,4,4,4,5,5,5,5,5,5,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6, 6,6,6,6,5,5,5,5,5,5,5,4,4,4,4,4,4,3,3,3,3,3,2,2,2,2,2,2,1,1,1,1,1,0,0,0,0,0,0,-1, -1,-1,-1,-1,-1,-1,-1,-2,-2,-2,-2,-2,-2,-2,-2,-2,-2,-2,-2,-2,-2,-3,-3,-3,-3,-3,-3, -3,-3,-3,-2,-2,-2,-2,-2,-2,-2,-2,-2,-2,-2,-2,-2,-2,-2,-2,-2,-2,-1,-1,-1,-1,-1,-1, -1,-1,-1,-1,-1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1, 1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, }, };