diff --git "a/maximize_happiness_of_selected_children/scala_tests/MySuite.scala" "b/maximize_happiness_of_selected_children/scala_tests/MySuite.scala" new file mode 100644--- /dev/null +++ "b/maximize_happiness_of_selected_children/scala_tests/MySuite.scala" @@ -0,0 +1,44 @@ + +class MySuite extends munit.FunSuite { + + test("test1") { + assertEquals(Main.maximumHappinessSum(List(1,2,3),2), 4) + } + + test("test2") { + assertEquals(Main.maximumHappinessSum(List(1,1,1,1),2), 1) + } + + test("test3") { + assertEquals(Main.maximumHappinessSum(List(2,3,4,5),1), 5) + } + + test("test4") { + assertEquals(Main.maximumHappinessSum(List(99997483, 99997008, 99992829, 99990635, 99989727, 99989454, 99989107, 99987732, 99985967, 99984926, 99984638, 99983805, 99983135, 99980397, 99980320, 99979905, 99978821, 99978393, 99974982, 99974967, 99974958, 99974940, 99972799, 99972751, 99971729, 99970826, 99970584, 99966550, 99966156, 99962695, 99962235, 99961207, 99960846, 99957324, 99955273, 99950486, 99950392, 99950279, 99949893, 99949839, 99949100, 99947239, 99946805, 99944936, 99944544, 99944169, 99940570, 99940474, 99940220, 99939493, 99939292, 99938021, 99937699, 99937367, 99936847, 99936626, 99936495, 99936120, 99934470, 99934343, 99933057, 99932835, 99932370, 99931776, 99931117, 99929621, 99928854, 99926453, 99926283, 99925982, 99925232, 99924576, 99922146, 99919942, 99919579, 99916308, 99916278, 99915622, 99913060, 99908542, 99908454, 99906164, 99905058, 99899665, 99897282, 99895340, 99893083, 99892200, 99892082, 99891852, 99891007, 99890973, 99889060, 99882217, 99882094, 99882088, 99881888, 99881213, 99880894, 99880250, 99878846, 99877474, 99877336, 99877180, 99876128, 99874177, 99872748, 99872550, 99869191, 99868528, 99866793, 99866182, 99864737, 99862205, 99860165, 99857090, 99855118, 99854315, 99853245, 99849811, 99846106, 99839846, 99839251, 99838545, 99838427, 99837811, 99836701, 99836653, 99835888, 99834420, 99833107, 99828853, 99827739, 99827426, 99824122, 99823588, 99821754, 99820755, 99820022, 99819561, 99816718, 99816192, 99815524, 99813795, 99812960, 99812163, 99809378, 99809309, 99807328, 99806574, 99806327, 99805786, 99804421, 99801613, 99800900, 99800204, 99798367, 99797718, 99796533, 99796334, 99795167, 99794459, 99793850, 99792694, 99790177, 99789196, 99787587, 99787516, 99787355, 99786671, 99785488, 99784366, 99783500, 99780132, 99776995, 99776779, 99776279, 99774233, 99770133, 99767904, 99767290, 99767280, 99760597, 99759939, 99758440, 99757136, 99752941, 99752589, 99750826, 99749926, 99749316, 99748613, 99748298, 99746956, 99746156, 99746060, 99746036, 99745717, 99745240, 99743488, 99741014, 99740440, 99740348, 99738155, 99736275, 99735919, 99735201, 99728622, 99726246, 99725531, 99724449, 99722024, 99721020, 99716623, 99713970, 99712405, 99712396, 99711896, 99711320, 99710386, 99709709, 99707341, 99706338, 99705398, 99704049, 99703705, 99703364, 99701453, 99701224, 99699124, 99698644, 99695700, 99693010, 99689576, 99688839, 99688406, 99686865, 99686625, 99681542, 99681267, 99680639, 99680589, 99679094, 99678853, 99677019, 99676595, 99675690, 99674545, 99674312, 99673620, 99673263, 99673253, 99672558, 99672253, 99670451, 99670336, 99668652, 99668571, 99666502, 99662579, 99662004, 99661823, 99658892, 99656772, 99655815, 99655394, 99654204, 99652952, 99652191, 99652185, 99651769, 99651358, 99650716, 99650380, 99646911, 99646480, 99646258, 99644252, 99644008, 99642041, 99641031, 99640703, 99639915, 99639672, 99638936, 99638180, 99637908, 99637153, 99636511, 99636257, 99635863, 99635325, 99632729, 99630810, 99629986, 99627593, 99627255, 99626686, 99624791, 99623822, 99622705, 99622508, 99621835, 99621185, 99620430, 99620160, 99620109, 99618390, 99617282, 99615921, 99614938, 99614762, 99614755, 99614373, 99614366, 99613868, 99613702, 99612373, 99612267, 99608836, 99607910, 99605742, 99605082, 99604796, 99603003, 99602188, 99601597, 99600780, 99598848, 99595946, 99595263, 99591647, 99589081, 99589065, 99576169, 99575924, 99575801, 99575512, 99574731, 99573269, 99571993, 99570838, 99569276, 99568492, 99568254, 99568012, 99564025, 99563419, 99561595, 99560277, 99559181, 99558592, 99558468, 99556482, 99556456, 99556301, 99555428, 99553207, 99552094, 99548978, 99548356, 99546947, 99545223, 99544888, 99544745, 99544579, 99544439, 99538859, 99537454, 99536141, 99536000, 99534275, 99534030, 99533116, 99533098, 99533017, 99532529, 99532433, 99530940, 99526594, 99525930, 99525413, 99524599, 99523553, 99522181, 99522142, 99521394, 99519573, 99518053, 99517924, 99517505, 99517384, 99517303, 99517021, 99513287, 99512756, 99511485, 99510353, 99510211, 99509495, 99506572, 99500666, 99499233, 99497414, 99497320, 99496035, 99495513, 99493315, 99492757, 99491241, 99489134, 99488540, 99483895, 99482571, 99481689, 99481264, 99480047, 99480024, 99478943, 99476615, 99474751, 99473952, 99473830, 99468523, 99468445, 99467456, 99466703, 99465217, 99464982, 99464892, 99462847, 99462001, 99461944, 99461831, 99461467, 99460225, 99459523, 99458366, 99454734, 99452780, 99452112, 99452018, 99451991, 99451696, 99451345, 99450806, 99450331, 99448662, 99448522, 99446179, 99443372, 99443287, 99443018, 99441756, 99441375, 99438739, 99437543, 99437517, 99436605, 99436166, 99435176, 99434650, 99432210, 99428992, 99428867, 99428358, 99428141, 99423169, 99422765, 99422294, 99420677, 99420448, 99419620, 99419124, 99419068, 99417099, 99416774, 99414745, 99414192, 99413439, 99413087, 99408998, 99408786, 99406782, 99404153, 99402497, 99401006, 99399559, 99398732, 99398610, 99398316, 99397577, 99397525, 99395890, 99394080, 99393420, 99393250, 99393127, 99392881, 99391175, 99390519, 99384355, 99381277, 99381132, 99379448, 99376597, 99376481, 99376278, 99375770, 99373990, 99373940, 99370827, 99368250, 99365263, 99362449, 99360397, 99359499, 99352873, 99352699, 99352515, 99350664, 99350483, 99348285, 99345850, 99345723, 99345068, 99344002, 99340143, 99339061, 99338156, 99336840, 99336634, 99336298, 99336189, 99333156, 99331059, 99329364, 99325751, 99325251, 99322079, 99321852, 99318923, 99317236, 99316385, 99316032, 99314872, 99314812, 99314449, 99314047, 99312272, 99311030, 99309710, 99308984, 99308784, 99308306, 99307712, 99305168, 99302985, 99302358, 99302125, 99301722, 99301059, 99300887, 99300392, 99300157, 99298976, 99298698, 99298425, 99297755, 99296410, 99295436, 99292671, 99292627, 99291163, 99289963, 99288751, 99288533, 99286258, 99284924, 99284603, 99283887, 99283219, 99282898, 99282781, 99279194, 99278768, 99277724, 99277658, 99277444, 99277361, 99273859, 99273372, 99271043, 99270137, 99269855, 99269713, 99269542, 99268660, 99268624, 99267944, 99266528, 99265354, 99264398, 99264104, 99264090, 99264044, 99262686, 99262022, 99261883, 99261527, 99256365, 99255488, 99255256, 99255139, 99254374, 99253154, 99251914, 99248200, 99247723, 99245836, 99243968, 99242056, 99241366, 99235415, 99233054, 99232396, 99231593, 99226737, 99225607, 99224274, 99222096, 99220264, 99219708, 99218398, 99215011, 99214889, 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1283686, 1283605, 1280521, 1280437, 1280415, 1280338, 1279625, 1278513, 1275458, 1275046, 1274506, 1274312, 1273917, 1272434, 1271614, 1271074, 1270874, 1270350, 1269944, 1265263, 1265258, 1264517, 1264368, 1262096, 1262001, 1261223, 1260157, 1257174, 1251825, 1251672, 1250439, 1250105, 1248273, 1244989, 1244477, 1242397, 1241779, 1241023, 1239022, 1238682, 1235703, 1235389, 1234652, 1233274, 1230604, 1230248, 1228407, 1227476, 1224235, 1224147, 1219302, 1219224, 1217245, 1216090, 1215228, 1215008, 1213319, 1210399, 1208973, 1208440, 1208040, 1207749, 1207618, 1206799, 1202324, 1202131, 1201035, 1198277, 1195415, 1194985, 1193186, 1192281, 1192249, 1191683, 1190612, 1190532, 1190363, 1184555, 1182128, 1181617, 1178544, 1177061, 1174960, 1173752, 1173748, 1172233, 1165948, 1165894, 1165330, 1161341, 1155922, 1154790, 1153088, 1148243, 1147909, 1147897, 1147186, 1146956, 1145843, 1144466, 1139008, 1137166, 1134851, 1134365, 1132505, 1132328, 1130366, 1128603, 1127061, 1126920, 1126675, 1123402, 1123157, 1123054, 1121647, 1121020, 1120309, 1119721, 1117807, 1117721, 1113533, 1109169, 1105309, 1104820, 1102882, 1100227, 1097429, 1092328, 1091816, 1091387, 1091020, 1089580, 1089117, 1088140, 1088042, 1086114, 1085543, 1084737, 1082957, 1082477, 1081745, 1080031, 1079005, 1078889, 1076504, 1075743, 1074727, 1073522, 1072831, 1069505, 1068800, 1066653, 1065836, 1064373, 1064097, 1063254, 1062663, 1062439, 1062240, 1060630, 1059651, 1057187, 1056137, 1055298, 1054546, 1053160, 1051488, 1050595, 1050171, 1049857, 1049610, 1048747, 1048257, 1046475, 1045629, 1043593, 1038386, 1036670, 1036116, 1035030, 1034931, 1034419, 1033245, 1033239, 1032100, 1029814, 1029771, 1026722, 1026083, 1025261, 1024957, 1024685, 1023092, 1019998, 1019950, 1019496, 1019177, 1016114, 1015468, 1014255, 1013609, 1013603, 1011630, 1007674, 1006971, 999882, 998611, 995052, 994542, 993850, 992676, 988436, 987919, 987743, 984230, 979551, 974749, 972305, 970913, 970195, 969310, 969214, 968536, 968511, 967441, 965161, 963065, 962192, 960497, 959119, 957572, 953366, 951423, 951343, 947204, 946933, 942238, 939793, 938487, 936428, 936042, 935161, 933886, 931391, 930635, 925030, 924334, 924206, 924030, 922570, 922055, 921168, 920875, 920770, 919455, 918446, 917344, 917287, 916246, 912798, 912133, 911983, 908416, 907543, 905166, 903167, 901149, 899743, 899185, 895134, 894314, 894055, 893348, 892158, 886702, 886375, 885559, 884088, 883277, 883065, 881032, 880493, 876921, 876763, 876484, 874456, 872607, 870867, 869218, 867240, 864237, 862185, 862049, 860205, 859270, 858905, 858811, 858578, 858468, 856779, 853413, 853176, 853101, 853089, 853057, 851845, 851631, 851084, 850920, 850842, 850018, 849402, 846278, 846060, 845656, 844535, 843378, 842677, 842626, 838506, 836141, 833434, 831043, 830696, 829508, 828964, 828939, 826817, 824835, 821558, 820908, 820595, 818892, 817294, 814970, 814867, 814543, 813660, 813401, 813134, 812378, 808200, 806926, 806909, 803756, 803490, 801211, 801005, 800859, 797438, 796776, 795071, 793967, 792330, 791611, 790497, 786910, 786171, 785840, 785173, 784787, 776735, 775922, 774100, 773137, 771998, 771587, 771158, 768717, 768593, 763184, 762179, 760905, 756134, 755406, 755003, 752710, 749056, 748542, 745171, 745112, 741488, 741366, 741167, 740657, 740246, 739536, 739281, 738430, 738382, 736969, 732233, 730982, 728565, 727527, 724136, 722857, 721002, 720338, 719420, 718947, 718111, 715530, 715425, 715335, 714780, 713956, 713367, 712091, 708913, 707765, 707228, 707080, 705204, 704745, 704653, 704369, 696053, 694829, 694448, 693244, 693091, 690835, 690406, 689418, 688976, 687628, 686355, 686308, 683818, 683756, 683640, 682026, 681871, 680985, 680179, 678931, 678636, 677859, 677804, 676915, 676297, 675812, 673979, 672193, 671467, 669119, 668765, 667993, 667857, 667040, 666379, 665792, 664311, 660462, 660419, 658784, 657243, 657036, 656630, 656134, 655291, 654467, 654088, 653109, 650380, 649605, 649514, 642662, 642366, 640892, 640171, 639966, 639915, 639691, 639434, 638812, 638749, 637742, 636178, 635847, 635687, 629893, 628759, 628115, 628064, 624521, 624364, 623245, 622953, 619720, 619588, 618081, 617624, 617208, 616443, 615752, 615639, 615451, 614863, 614455, 609822, 609761, 609164, 607783, 606820, 606808, 602841, 600845, 599896, 599827, 597039, 595800, 595386, 594367, 592758, 591411, 590569, 589666, 588596, 588084, 586715, 586570, 586360, 585816, 585514, 583900, 583039, 580682, 580236, 580037, 577093, 576603, 572180, 571791, 570769, 570092, 567788, 567479, 564554, 561628, 561385, 561233, 558917, 556957, 556559, 556018, 553829, 553660, 552324, 551842, 551301, 546652, 545773, 544598, 544058, 542984, 538706, 537136, 537069, 536996, 536908, 535708, 535480, 533388, 532496, 532458, 531419, 530421, 529517, 528730, 522875, 522382, 521957, 521873, 521330, 520680, 519639, 519529, 518117, 517968, 517660, 516655, 516477, 513870, 513797, 510366, 510144, 509103, 504849, 503514, 502313, 500895, 499358, 498957, 497803, 495436, 494493, 491593, 490490, 490206, 490168, 490097, 488162, 484534, 484442, 480971, 480952, 480811, 479972, 474147, 472412, 472219, 471861, 468028, 467130, 466207, 465881, 465638, 464488, 461452, 461389, 461089, 460596, 459788, 458222, 455587, 453224, 451845, 449932, 449225, 449059, 448294, 448201, 444935, 443764, 443429, 443176, 441013, 439635, 438962, 438627, 437050, 436592, 435027, 433047, 432866, 431234, 429678, 427534, 424872, 423317, 422456, 422217, 420940, 420849, 419693, 419384, 417079, 416962, 414201, 409766, 406531, 406022, 405574, 402284, 401881, 401368, 401149, 400121, 400072, 399735, 399417, 396642, 396198, 394031, 393973, 392470, 392313, 389546, 389415, 386635, 386562, 385816, 384856, 381848, 381512, 381135, 378676, 378239, 377572, 376429, 376424, 376174, 373695, 372199, 370111, 370062, 366540, 365793, 365106, 362811, 361525, 361192, 360432, 360184, 358568, 358235, 357174, 356651, 349670, 348130, 345037, 344910, 343730, 343341, 343033, 342435, 339858, 339711, 339408, 337702, 335796, 334371, 333941, 333832, 333776, 333626, 332322, 329848, 329180, 328524, 328487, 328279, 326661, 326079, 325886, 325538, 320747, 320735, 318748, 318529, 315134, 314470, 311231, 308727, 308510, 307351, 307327, 306596, 306267, 305805, 305526, 303773, 302230, 301810, 299575, 298826, 298465, 298189, 295292, 295022, 294356, 292048, 291583, 291341, 290805, 289286, 288966, 287574, 286900, 285649, 285009, 283881, 279730, 279004, 277152, 276647, 276587, 275664, 274955, 273331, 272368, 272075, 271016, 271009, 270764, 270370, 269807, 268901, 267895, 267257, 266848, 264404, 262002, 259692, 259599, 258857, 257472, 257439, 255402, 253420, 251001, 250343, 249803, 249448, 247328, 245061, 243978, 242441, 241785, 236585, 235920, 235864, 235842, 235410, 235370, 234698, 234490, 233874, 230356, 228038, 227036, 226071, 224277, 223813, 222471, 222203, 218724, 215574, 214384, 213795, 213274, 212701, 212655, 211501, 209528, 209407, 208193, 207278, 205964, 202375, 202069, 201610, 198960, 197902, 196811, 195634, 194799, 193208, 192672, 192335, 191865, 185240, 184254, 183652, 176992, 175594, 174876, 172822, 172364, 170498, 168565, 166344, 165780, 162019, 159047, 157191, 153758, 153186, 150260, 150027, 148190, 146648, 146600, 146295, 145857, 145377, 145255, 143874, 143212, 142886, 142631, 142270, 142109, 140782, 138968, 136395, 136118, 134738, 133665, 133418, 133330, 132462, 132215, 131859, 131444, 130863, 126315, 125948, 125529, 124039, 122905, 121840, 121628, 119891, 119735, 118997, 117106, 116371, 115654, 114047, 110811, 109936, 107889, 106375, 106080, 101166, 100906, 99375, 99134, 98621, 97463, 97035, 96145, 95904, 94962, 93918, 93315, 92961, 92548, 91997, 90693, 89358, 89070, 84086, 83757, 82766, 82489, 79214, 77789, 74865, 73157, 71350, 70812, 66289, 65616, 65462, 64758, 61442, 59621, 58706, 57686, 52996, 52195, 52095, 51118, 48312, 48082, 48061, 47053, 45458, 45332, 44208, 43933, 42178, 40541, 40102, 38938, 38053, 36382, 35944, 35570, 35127, 33536, 33309, 32975, 32819, 32133, 31980, 31645, 31548, 28000, 24951, 23253, 23133, 20705, 19979, 18169, 16800, 16458, 11454, 10047, 9086, 8807, 8609, 7494, 5036, 4338, 1545),37742), BigInt("2882049219026")) + } + + test("test5") { + assertEquals(Main.maximumHappinessSum(List(99998741, 99998733, 99998092, 99997709, 99997488, 99996526, 99994644, 99993243, 99992977, 99988897, 99987964, 99987353, 99987241, 99987114, 99987024, 99986926, 99986902, 99986176, 99985888, 99984859, 99984195, 99983835, 99983676, 99983522, 99983436, 99982056, 99981562, 99981008, 99980249, 99980208, 99979918, 99978193, 99976949, 99976187, 99976107, 99976051, 99974595, 99974039, 99973943, 99973789, 99973117, 99972676, 99972044, 99971885, 99969530, 99968413, 99967073, 99966452, 99966120, 99964011, 99962750, 99962402, 99961920, 99960935, 99960099, 99959900, 99959465, 99959338, 99958412, 99957669, 99957257, 99957237, 99955036, 99953647, 99953058, 99952980, 99952493, 99951600, 99951361, 99950742, 99949584, 99948200, 99946007, 99945052, 99944850, 99944275, 99943202, 99942490, 99942147, 99942113, 99942022, 99941835, 99941818, 99941153, 99940954, 99939818, 99938436, 99936157, 99935630, 99935374, 99934866, 99934492, 99933392, 99933078, 99932392, 99931522, 99931463, 99928838, 99928600, 99927608, 99927466, 99926932, 99926717, 99926059, 99925745, 99925495, 99924678, 99923863, 99923487, 99923324, 99922501, 99920857, 99918864, 99918210, 99917935, 99917591, 99917034, 99916570, 99916191, 99915544, 99914586, 99914270, 99913833, 99913065, 99912981, 99910692, 99907550, 99907450, 99906951, 99906169, 99904827, 99903922, 99903076, 99902684, 99902195, 99900729, 99899451, 99897769, 99896655, 99895697, 99895354, 99895231, 99893545, 99892612, 99892537, 99892511, 99892257, 99892198, 99891368, 99889819, 99887391, 99885854, 99885205, 99884641, 99884261, 99883149, 99882673, 99882403, 99881256, 99880334, 99878491, 99877689, 99876935, 99876788, 99874035, 99873678, 99872828, 99871458, 99870873, 99870279, 99869730, 99869656, 99868910, 99867891, 99867657, 99866439, 99866343, 99865601, 99863614, 99863494, 99862806, 99861825, 99860579, 99859958, 99859957, 99859730, 99859300, 99858224, 99857631, 99854640, 99854566, 99853891, 99853443, 99853237, 99852654, 99852613, 99852574, 99852554, 99851729, 99849663, 99848859, 99848720, 99848475, 99848415, 99846227, 99844588, 99843984, 99843835, 99843809, 99842987, 99842520, 99842505, 99841896, 99840186, 99839417, 99839333, 99837553, 99836972, 99836387, 99835831, 99834791, 99834754, 99834137, 99832451, 99832169, 99830839, 99830459, 99830252, 99830225, 99829722, 99827246, 99826742, 99826734, 99826321, 99826002, 99825768, 99824694, 99824478, 99823207, 99820548, 99820243, 99820088, 99819151, 99819023, 99818341, 99817228, 99816668, 99814665, 99813090, 99812814, 99812498, 99811335, 99811331, 99810699, 99809931, 99809523, 99807798, 99807663, 99806114, 99806031, 99805439, 99804448, 99804229, 99804029, 99803470, 99803014, 99802876, 99802645, 99801839, 99801588, 99801250, 99801188, 99799346, 99799234, 99798702, 99797276, 99796240, 99795217, 99795012, 99794298, 99793995, 99793501, 99792961, 99792353, 99792089, 99791807, 99791756, 99791562, 99790854, 99789012, 99788419, 99788062, 99787185, 99786433, 99786127, 99786025, 99785082, 99783053, 99782742, 99782339, 99782235, 99782043, 99781932, 99781895, 99780039, 99780022, 99779201, 99777896, 99777864, 99777652, 99776976, 99776293, 99775289, 99773463, 99773093, 99772938, 99772917, 99772474, 99770592, 99768844, 99767858, 99765226, 99762988, 99762701, 99762090, 99761675, 99760977, 99760172, 99759711, 99757087, 99756953, 99756213, 99752971, 99752504, 99751354, 99751188, 99750462, 99748691, 99748572, 99746633, 99744743, 99744666, 99744332, 99744156, 99742994, 99742863, 99742733, 99742486, 99742320, 99740078, 99739804, 99739759, 99738052, 99737564, 99737526, 99737154, 99736613, 99734564, 99733447, 99733434, 99733068, 99729848, 99729398, 99729185, 99728780, 99728088, 99727726, 99727184, 99725082, 99724726, 99724582, 99724198, 99723663, 99722809, 99721921, 99720877, 99719728, 99718971, 99716663, 99716369, 99714683, 99714370, 99714357, 99714334, 99713965, 99713647, 99712962, 99712800, 99712567, 99712027, 99711998, 99711171, 99710752, 99709666, 99709127, 99708932, 99706283, 99705758, 99704009, 99703004, 99702519, 99700652, 99699914, 99698829, 99697594, 99697050, 99696732, 99696433, 99695665, 99695649, 99695636, 99693464, 99692583, 99692440, 99691001, 99690940, 99690639, 99689985, 99687842, 99686555, 99685722, 99684773, 99684055, 99683885, 99683774, 99683434, 99681435, 99681224, 99680033, 99678137, 99677579, 99676937, 99674531, 99674084, 99673948, 99672546, 99672296, 99671704, 99671484, 99671335, 99670241, 99670163, 99669496, 99668695, 99667044, 99666451, 99665801, 99665441, 99664432, 99662700, 99662645, 99662396, 99662128, 99661065, 99660990, 99660373, 99660285, 99659015, 99656962, 99656486, 99655351, 99655032, 99654998, 99652969, 99652710, 99652271, 99651415, 99650955, 99650738, 99650609, 99649937, 99649705, 99649527, 99647906, 99647604, 99647411, 99646460, 99644611, 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1033904, 1032867, 1032257, 1032028, 1032020, 1031914, 1031031, 1029945, 1029600, 1029297, 1026879, 1026030, 1025542, 1025164, 1024931, 1023202, 1023168, 1020840, 1020136, 1019506, 1019193, 1019186, 1017257, 1017006, 1016632, 1015046, 1014289, 1013666, 1011718, 1011617, 1010747, 1009575, 1008811, 1006603, 1004486, 1003786, 1003508, 1001932, 1001559, 1001557, 1001371, 1000213, 998780, 998133, 996331, 995502, 994106, 993841, 993782, 992016, 991616, 990699, 990519, 989846, 986481, 985539, 985123, 984879, 984192, 983194, 982796, 982198, 981379, 980818, 980299, 979659, 979367, 979113, 979091, 974512, 974150, 973841, 971897, 970948, 970777, 969579, 969238, 969006, 967821, 967536, 966848, 966668, 966498, 961104, 960714, 959975, 958465, 958240, 958092, 957399, 956358, 955901, 955071, 954593, 954241, 952226, 952069, 952034, 951182, 950067, 950067, 948359, 948327, 948068, 945726, 945581, 945494, 944950, 944342, 942510, 940930, 940879, 940141, 940119, 938759, 938346, 937999, 937640, 937599, 936360, 935963, 935450, 934408, 933836, 932769, 931274, 931187, 927387, 927379, 926288, 925931, 925621, 925201, 924335, 923976, 923308, 922742, 921009, 920942, 920864, 920767, 919184, 918691, 918159, 915847, 915641, 914528, 914396, 912962, 912753, 912666, 912570, 912472, 911649, 911194, 911122, 910717, 909653, 908753, 907669, 906793, 906736, 906723, 905944, 905874, 904771, 904492, 902516, 899693, 899688, 898692, 898527, 897716, 896176, 895697, 894847, 894074, 892565, 891118, 889279, 888837, 887742, 887102, 886097, 884965, 883470, 882811, 882608, 881762, 881069, 880998, 879138, 878910, 878394, 877574, 877307, 876555, 876393, 876220, 875077, 874470, 873661, 873228, 873101, 873032, 872989, 872201, 871137, 870851, 870612, 869644, 869466, 868481, 867917, 866705, 864181, 861908, 861656, 861594, 861549, 860829, 860490, 860346, 859436, 859238, 859155, 858912, 857854, 857628, 857491, 857384, 857271, 856993, 856534, 855114, 854888, 852569, 848543, 847463, 846863, 846251, 846060, 845906, 844452, 844427, 843997, 843685, 840776, 839213, 837759, 836227, 834521, 834119, 833777, 833771, 833618, 833401, 832502, 832492, 831766, 830797, 830054, 829673, 828418, 827145, 827119, 827051, 826107, 823599, 820988, 820693, 820362, 819751, 818566, 817939, 817796, 817327, 816870, 816144, 815894, 814580, 813093, 812847, 812835, 812703, 812132, 811694, 811104, 809092, 809010, 808828, 808468, 808068, 806396, 806100, 806077, 806038, 805676, 803353, 802937, 802856, 802244, 801982, 801515, 801282, 801167, 801167, 800079, 798888, 798605, 796866, 796674, 796227, 796176, 795358, 793876, 793096, 792967, 792529, 791649, 791176, 791146, 790717, 790708, 790337, 789139, 787965, 787858, 786830, 786670, 786514, 786066, 786001, 785916, 785075, 784755, 783278, 782826, 782430, 782401, 779247, 776131, 775807, 775536, 774616, 774346, 772457, 769732, 769114, 766515, 764211, 764079, 763972, 762223, 760204, 759761, 759653, 759203, 757143, 756052, 755595, 754984, 754553, 753814, 753804, 751783, 751757, 751720, 751375, 749595, 747630, 746999, 746878, 742231, 741449, 740970, 739320, 738724, 737919, 737350, 737086, 737042, 735983, 735433, 735018, 734363, 731100, 730451, 729776, 727338, 727103, 726889, 726853, 726537, 725828, 725477, 724905, 724605, 724376, 723535, 723518, 723164, 722507, 722504, 722354, 722275, 720451, 719683, 716918, 716732, 714637, 714465, 714280, 714199, 713322, 713288, 712501, 710846, 709097, 708869, 708337, 707073, 706643, 706503, 706231, 704817, 702447, 702321, 702152, 700923, 700557, 700093, 699525, 699289, 698744, 698715, 697129, 696918, 696313, 696044, 694526, 693229, 692508, 691905, 691773, 691458, 690689, 690557, 688924, 688815, 687949, 687536, 686323, 685506, 684012, 683790, 683506, 682936, 682686, 681885, 680547, 680435, 680200, 679879, 679288, 679167, 678597, 678095, 677300, 676921, 676689, 675960, 675846, 673929, 673923, 673008, 672400, 671942, 671579, 671265, 669632, 669276, 668414, 668049, 667830, 667540, 666753, 666016, 665844, 665689, 665567, 665479, 663283, 661621, 661554, 660913, 658396, 658357, 658197, 657468, 657233, 657194, 656278, 656131, 654783, 654650, 653624, 653115, 653006, 652888, 652581, 650432, 650372, 649821, 649605, 648974, 648448, 647660, 647423, 647206, 646454, 645874, 645028, 643737, 643679, 642743, 642314, 641535, 641032, 640133, 639870, 639696, 638606, 637772, 637398, 637216, 637130, 635378, 632660, 632201, 631722, 630918, 629174, 629168, 628970, 627944, 627768, 627637, 625737, 625229, 624947, 624842, 623651, 623353, 621768, 619336, 618360, 617568, 614524, 613525, 612923, 612896, 611844, 611312, 611291, 611238, 610563, 608800, 608227, 607958, 607684, 607350, 605877, 605551, 604847, 604715, 604033, 603479, 601900, 601493, 601329, 600486, 599754, 598603, 598124, 598000, 597446, 595480, 592456, 592016, 591654, 590625, 589070, 588164, 588091, 587695, 587138, 586861, 586616, 586041, 585604, 585299, 585252, 585160, 583349, 581778, 580295, 579614, 579237, 577526, 576813, 576426, 576421, 574190, 573530, 572738, 571829, 570248, 569926, 566852, 566475, 565288, 564910, 564520, 563795, 561318, 561191, 560510, 560173, 558410, 557889, 556773, 556705, 556658, 556570, 556325, 555294, 555253, 555028, 554967, 554825, 554285, 553695, 553258, 552708, 552603, 551974, 551166, 550973, 550650, 549712, 549612, 549448, 549152, 548389, 546820, 546030, 544324, 544085, 543886, 543875, 543553, 543417, 542248, 541002, 539366, 537824, 537234, 534928, 534910, 533854, 533530, 532844, 532636, 532352, 532199, 529311, 528097, 527534, 525159, 525123, 524884, 524597, 524343, 523979, 523077, 523060, 522823, 521103, 520939, 520191, 520183, 519986, 519379, 518718, 518664, 518397, 517952, 516870, 516333, 514330, 513636, 513149, 512651, 512569, 512483, 512312, 511327, 511201, 508267, 506658, 505913, 505752, 505348, 505239, 504784, 504736, 502411, 501540, 501257, 500808, 500200, 499974, 499706, 498912, 498434, 498115, 497375, 497365, 497215, 497090, 494972, 494683, 494364, 494129, 493256, 493143, 492566, 491525, 491151, 491109, 490166, 490138, 490136, 487421, 486570, 486419, 485182, 485012, 484847, 484176, 484111, 483284, 482175, 481546, 479701, 479646, 478372, 477805, 472562, 471635, 471527, 471297, 471109, 471028, 470510, 470237, 469836, 468337, 468172, 466789, 464902, 464548, 464090, 463852, 463569, 463475, 463451, 463372, 461933, 461772, 461728, 461403, 460912, 460804, 460246, 459150, 458986, 458800, 457029, 455792, 455315, 454633, 454630, 454323, 454289, 452931, 451711, 451309, 450596, 449914, 449734, 448840, 448302, 447546, 446798, 446770, 446244, 445747, 443513, 442585, 441936, 441073, 440977, 439760, 439476, 439214, 439187, 439076, 437991, 437951, 436922, 436807, 434536, 434499, 433684, 432121, 431689, 430321, 428611, 427448, 425895, 425583, 425519, 425174, 424124, 423830, 423278, 420879, 420563, 418340, 418068, 417044, 415424, 415345, 413272, 413052, 411752, 410926, 410495, 410052, 409917, 408245, 407805, 406816, 405069, 403820, 403101, 402947, 402576, 402483, 402028, 401563, 401380, 401130, 400622, 400572, 400470, 400294, 399816, 399654, 398525, 398179, 397910, 397753, 397685, 396228, 395865, 395125, 394543, 394445, 392298, 392297, 392293, 391249, 391035, 390537, 389811, 389202, 388618, 387266, 387012, 386701, 383382, 383318, 383258, 383091, 382190, 380948, 379770, 379279, 378308, 377960, 377761, 377310, 377298, 377084, 376844, 375920, 373919, 373456, 371066, 370678, 370673, 370657, 370453, 369183, 368687, 368456, 367985, 367776, 366608, 366158, 365357, 365328, 364234, 363168, 362100, 360981, 359685, 358265, 355719, 353584, 348975, 348868, 347309, 347082, 346767, 346343, 346165, 345718, 345498, 345442, 344101, 343541, 343240, 342604, 342270, 341846, 339958, 339683, 338996, 338618, 337600, 336396, 336266, 335628, 334876, 334553, 331012, 330855, 330161, 328501, 327820, 327734, 325675, 325503, 325467, 324815, 324449, 321388, 320807, 319934, 317222, 316927, 316920, 315272, 313872, 313555, 313263, 312732, 312292, 311953, 307665, 305585, 304914, 304730, 303308, 301618, 301449, 301413, 299034, 298798, 298554, 298463, 298367, 298212, 297127, 297084, 296438, 293605, 293536, 293456, 292899, 292467, 292338, 291849, 291412, 287971, 287939, 287392, 286329, 285790, 285182, 284643, 283112, 282244, 282224, 282035, 281245, 281019, 279831, 279174, 278338, 278129, 278016, 276666, 275860, 274775, 274460, 274235, 268083, 267695, 267471, 265895, 265517, 265489, 264585, 263486, 263158, 261887, 261685, 261216, 259867, 259257, 258139, 257753, 255438, 255328, 254352, 254095, 253890, 253314, 252413, 250133, 248145, 247061, 246978, 246747, 245561, 245513, 245357, 244019, 243285, 239561, 239527, 239284, 239165, 236535, 236491, 235896, 235108, 235012, 233444, 233355, 232395, 229709, 228392, 228091, 228065, 226864, 226787, 225971, 225302, 224874, 224597, 224513, 224501, 223060, 222425, 221745, 220671, 220132, 219507, 219478, 218639, 217663, 216910, 216700, 216653, 216579, 216293, 214565, 212642, 212067, 212025, 211835, 211518, 210932, 210560, 210224, 209753, 209347, 209274, 208381, 206481, 205384, 205098, 203685, 203474, 202070, 201478, 200010, 198511, 198376, 196655, 196428, 195675, 195140, 194975, 194867, 194313, 193524, 192888, 192557, 192450, 191540, 190154, 189244, 189091, 187500, 186791, 185640, 185256, 183211, 182456, 182378, 182049, 182045, 181760, 181464, 180460, 178102, 177896, 177306, 177216, 175833, 175226, 174957, 174488, 174472, 174464, 171495, 170706, 170633, 170524, 170128, 169813, 168379, 167642, 167022, 166719, 165482, 165320, 164895, 163125, 163119, 162675, 162010, 160625, 160023, 159085, 156515, 156330, 155381, 154645, 154128, 153825, 153718, 153382, 153330, 152981, 152431, 150854, 150585, 150161, 149471, 148136, 147668, 147044, 145982, 145748, 144872, 144601, 143891, 143124, 142726, 140830, 140543, 140474, 137848, 136744, 136723, 136551, 136481, 134525, 134499, 134441, 132756, 130235, 130075, 127538, 127488, 127171, 127027, 126495, 125589, 124050, 123092, 122738, 122730, 122694, 122573, 121607, 121322, 120981, 120915, 120681, 120441, 119834, 119096, 118956, 118260, 115723, 114318, 113100, 112551, 111918, 111060, 108342, 108035, 107257, 105282, 104587, 104244, 104102, 103555, 102606, 102421, 102244, 100552, 100318, 99515, 98588, 98473, 97948, 97507, 97197, 97112, 96964, 96336, 95886, 95638, 95600, 95381, 94710, 94553, 94413, 94153, 93037, 90796, 90462, 89852, 89333, 86798, 86526, 84592, 84448, 84062, 79478, 77928, 77250, 77129, 77071, 76537, 75897, 73384, 71811, 71666, 71579, 71332, 70947, 70659, 70216, 69549, 68654, 68647, 67914, 67421, 67128, 65538, 62497, 62192, 62136, 60638, 59660, 57556, 56245, 54569, 54523, 53663, 53211, 51989, 49921, 49333, 48523, 48370, 46475, 46330, 46023, 45807, 45600, 45295, 45049, 44522, 44282, 42250, 41490, 41482, 41367, 40713, 40646, 40494, 40080, 39694, 39369, 39356, 38943, 38299, 37957, 37755, 37675, 37421, 36266, 35489, 34762, 34760, 34423, 34169, 34090, 33882, 33784, 30897, 30287, 30012, 29885, 29800, 29452, 29426, 29302, 28498, 27511, 27082, 24973, 24906, 24620, 24345, 23891, 23193, 23138, 22040, 21960, 21162, 20053, 19552, 18798, 18324, 18221, 18030, 16520, 16033, 15589, 15450, 12809, 10749, 10434, 9563, 8936, 8896, 8392, 7355, 6675, 5762, 5220, 4902, 1480, 1406, 1009),113814), BigInt("6538137391713")) + } + + test("test6") { + assertEquals(Main.maximumHappinessSum(List(99998537, 99996388, 99995036, 99993892, 99993642, 99993641, 99992621, 99992159, 99991078, 99990698, 99990073, 99989235, 99988115, 99988078, 99987946, 99987712, 99987259, 99987206, 99987140, 99987023, 99986250, 99986090, 99985173, 99984857, 99983992, 99983666, 99983039, 99983004, 99981306, 99981194, 99980576, 99980522, 99977841, 99976702, 99975014, 99974927, 99974902, 99974727, 99972870, 99972821, 99967127, 99966792, 99966750, 99965426, 99965379, 99964823, 99964470, 99964326, 99963558, 99961657, 99961213, 99960666, 99960219, 99958294, 99957062, 99956914, 99956832, 99956656, 99954854, 99951538, 99951323, 99950644, 99950533, 99950433, 99949071, 99947723, 99946074, 99945930, 99944322, 99941247, 99940044, 99939210, 99938566, 99938052, 99937844, 99936616, 99935692, 99933573, 99933524, 99933263, 99931392, 99930434, 99929518, 99928933, 99928843, 99928579, 99927549, 99924826, 99924666, 99923989, 99923846, 99923821, 99923137, 99922400, 99922395, 99920494, 99920311, 99918428, 99917727, 99916745, 99916537, 99913932, 99913518, 99912910, 99907863, 99906177, 99905891, 99903473, 99902636, 99901262, 99901229, 99900834, 99897602, 99897393, 99892436, 99891870, 99888703, 99886920, 99885865, 99885292, 99884857, 99884717, 99884269, 99883854, 99882684, 99882641, 99880629, 99880494, 99879764, 99877972, 99877266, 99876395, 99875147, 99874470, 99873708, 99872756, 99872335, 99870851, 99870125, 99868460, 99868325, 99867487, 99866976, 99866683, 99866406, 99866235, 99863777, 99862950, 99862659, 99861193, 99860349, 99858389, 99856739, 99856674, 99855339, 99853134, 99852038, 99851313, 99850665, 99850473, 99850071, 99848720, 99848234, 99845848, 99843448, 99842512, 99842395, 99842369, 99839796, 99837677, 99837495, 99836250, 99836206, 99833525, 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200732, 198594, 198574, 198187, 197689, 197305, 195955, 195170, 193867, 192664, 192357, 191717, 191280, 190964, 190211, 188088, 182785, 182329, 181992, 179877, 179035, 178023, 177952, 177357, 174819, 173344, 172184, 171054, 170747, 167762, 167070, 167050, 167043, 163108, 161225, 159715, 159394, 159223, 158904, 158287, 157438, 156948, 156439, 156333, 155329, 155030, 153544, 152750, 151488, 151464, 150136, 148844, 147853, 146536, 143700, 143327, 140094, 139283, 138852, 138699, 138230, 136170, 136030, 135311, 133322, 132861, 128991, 128751, 128409, 124283, 124260, 124153, 123850, 123830, 123493, 122384, 121460, 119772, 118833, 118724, 117463, 116968, 116190, 115299, 110116, 108231, 107543, 106306, 106277, 106164, 105858, 104818, 104562, 104303, 100874, 98146, 92981, 91534, 91489, 90568, 88507, 87705, 86739, 86679, 83767, 82695, 82395, 81747, 80012, 79474, 77096, 77041, 74399, 73791, 71020, 70583, 69958, 68969, 67882, 67522, 67453, 64711, 64238, 64233, 62737, 62653, 61953, 61235, 59735, 59111, 57473, 57083, 54662, 54088, 52851, 50373, 48989, 48881, 48351, 48110, 47364, 44782, 42699, 41781, 39897, 38879, 37568, 36869, 35940, 35592, 34325, 34291, 34011, 31818, 30852, 30347, 29749, 28698, 27094, 26896, 26011, 24162, 21376, 21111, 19411, 19390, 18787, 14171, 14117, 12836, 12121, 12070, 11242, 9722, 4995, 3150, 2088, 1781, 762, 358),36318), BigInt("2949632024186")) + } + + test("test7") { + assertEquals(Main.maximumHappinessSum(List(99995878, 99995838, 99992721, 99981309, 99977151, 99975837, 99972749, 99971060, 99970529, 99969400, 99964648, 99962580, 99961374, 99951516, 99949786, 99943791, 99943053, 99934463, 99929394, 99928795, 99921472, 99914561, 99914225, 99905620, 99903662, 99901889, 99901749, 99901327, 99896316, 99892687, 99892041, 99886372, 99882586, 99880243, 99879267, 99872194, 99870797, 99870097, 99869177, 99865923, 99865620, 99856505, 99854212, 99854159, 99850551, 99849134, 99847618, 99846919, 99843292, 99841780, 99839452, 99834743, 99834734, 99834177, 99829256, 99824416, 99819286, 99818459, 99811561, 99810569, 99808584, 99805681, 99805479, 99803514, 99798604, 99794743, 99791136, 99790188, 99783787, 99775038, 99774305, 99772959, 99769411, 99769034, 99766933, 99765321, 99761973, 99759470, 99758397, 99755208, 99752699, 99739221, 99737597, 99735923, 99734006, 99727878, 99722042, 99717722, 99716743, 99716253, 99712703, 99711956, 99707233, 99697880, 99696021, 99695723, 99693074, 99692990, 99689745, 99683490, 99681168, 99678828, 99669882, 99660060, 99659985, 99659754, 99645227, 99644380, 99639703, 99638534, 99637906, 99619456, 99619270, 99611605, 99606697, 99606311, 99606100, 99603084, 99599062, 99598611, 99592656, 99590812, 99590707, 99590535, 99588419, 99583638, 99583583, 99573539, 99569211, 99568612, 99559748, 99557533, 99554441, 99552960, 99546767, 99541325, 99533597, 99528447, 99525457, 99519656, 99515212, 99510526, 99503097, 99502973, 99501941, 99501864, 99500752, 99496825, 99488526, 99488110, 99485092, 99483646, 99483564, 99480457, 99479976, 99479600, 99479252, 99478356, 99469847, 99465905, 99462519, 99460983, 99458320, 99455741, 99454708, 99451911, 99451274, 99450263, 99449479, 99445306, 99440500, 99437044, 99431568, 99428605, 99425583, 99423458, 99422295, 99422198, 99420554, 99412342, 99410911, 99405953, 99404318, 99402348, 99391240, 99388557, 99388078, 99384341, 99378833, 99378722, 99372538, 99369478, 99361140, 99358279, 99356056, 99355835, 99355748, 99355540, 99355264, 99352883, 99352756, 99345769, 99341649, 99338703, 99326116, 99325824, 99325343, 99322995, 99321480, 99320106, 99309254, 99309193, 99304083, 99299677, 99299453, 99298922, 99298438, 99295877, 99295293, 99293497, 99291982, 99291002, 99287546, 99282860, 99280288, 99278528, 99271782, 99263860, 99262292, 99258348, 99254615, 99252963, 99249075, 99242637, 99242597, 99233074, 99230418, 99226023, 99218663, 99218565, 99211286, 99194852, 99190470, 99189154, 99184784, 99181881, 99181801, 99178460, 99175908, 99173591, 99170971, 99170888, 99166780, 99162408, 99162405, 99160888, 99159840, 99159368, 99155485, 99153946, 99152203, 99151498, 99150120, 99148401, 99145862, 99145353, 99143001, 99138627, 99133710, 99122411, 99119484, 99115903, 99112593, 99108782, 99099344, 99097957, 99094368, 99092429, 99091244, 99086275, 99078998, 99073213, 99069687, 99063343, 99063040, 99057884, 99055075, 99046481, 99024341, 99019439, 99016079, 99015014, 99013824, 99011105, 99004095, 98999631, 98996316, 98994551, 98994104, 98992725, 98988986, 98987429, 98983848, 98982509, 98979908, 98979638, 98973074, 98966381, 98963526, 98959758, 98958593, 98955394, 98953137, 98947301, 98945091, 98944227, 98943762, 98942151, 98941994, 98941505, 98938712, 98935399, 98928005, 98926806, 98923014, 98922242, 98916162, 98911482, 98911447, 98911378, 98906754, 98904714, 98903673, 98898493, 98897362, 98894427, 98893784, 98886625, 98874485, 98872657, 98872155, 98870773, 98863280, 98861114, 98861013, 98860433, 98859036, 98859021, 98858844, 98854314, 98848084, 98843600, 98840726, 98839326, 98832441, 98832221, 98832013, 98830851, 98830368, 98816343, 98815148, 98811898, 98806407, 98805813, 98805384, 98803753, 98803086, 98801110, 98799297, 98797728, 98796532, 98794230, 98789121, 98788793, 98787304, 98786058, 98785547, 98785048, 98785010, 98784278, 98778157, 98776692, 98774079, 98771973, 98771784, 98768618, 98765366, 98754534, 98748452, 98748065, 98740266, 98729302, 98727783, 98727470, 98726382, 98719743, 98706051, 98702070, 98700552, 98699287, 98696438, 98692756, 98692374, 98692143, 98691002, 98688774, 98682391, 98678123, 98677947, 98671362, 98670719, 98669872, 98669284, 98667556, 98667532, 98667070, 98659882, 98658428, 98657339, 98655170, 98654154, 98652696, 98647719, 98647405, 98646991, 98646150, 98644947, 98643951, 98641981, 98637848, 98636336, 98633013, 98630826, 98629677, 98623071, 98621356, 98619638, 98617865, 98615169, 98613574, 98610259, 98604184, 98594796, 98593570, 98591166, 98590158, 98589311, 98579074, 98577606, 98577070, 98570851, 98566866, 98566183, 98565256, 98564734, 98562121, 98559366, 98556845, 98554486, 98554074, 98549213, 98547220, 98537546, 98535146, 98534772, 98528201, 98521685, 98511208, 98508172, 98506018, 98504790, 98500178, 98499886, 98488849, 98483818, 98482423, 98482185, 98473643, 98469865, 98464002, 98461736, 98459504, 98456699, 98453283, 98452784, 98449696, 98442690, 98442368, 98440209, 98434015, 98433776, 98426967, 98416533, 98415271, 98415103, 98411925, 98410669, 98408660, 98408115, 98405559, 98405005, 98404549, 98397572, 98397388, 98397117, 98395868, 98392486, 98387647, 98382723, 98380826, 98378570, 98378555, 98376838, 98373354, 98372929, 98372026, 98372012, 98371977, 98370501, 98362328, 98357145, 98355827, 98355581, 98342794, 98342578, 98339744, 98339712, 98339666, 98338023, 98336615, 98332603, 98329614, 98324458, 98321829, 98321660, 98320566, 98319503, 98318419, 98310468, 98302300, 98299817, 98299642, 98299433, 98298224, 98295265, 98290857, 98274705, 98272175, 98269135, 98267662, 98264173, 98263083, 98260107, 98256956, 98256671, 98252302, 98250739, 98249622, 98249081, 98242366, 98241301, 98241073, 98239072, 98233172, 98218830, 98216415, 98207086, 98192651, 98188876, 98186558, 98181270, 98167292, 98166085, 98165723, 98159740, 98156607, 98154639, 98154524, 98151338, 98146197, 98139087, 98136708, 98135666, 98135475, 98134539, 98130078, 98128333, 98126977, 98123633, 98119911, 98118518, 98113652, 98113049, 98109339, 98104976, 98097465, 98096099, 98090735, 98086241, 98082747, 98082318, 98080952, 98074534, 98073486, 98070171, 98068301, 98065257, 98060443, 98055507, 98047881, 98039523, 98039298, 98038278, 98035122, 98031955, 98031751, 98031458, 98025909, 98022485, 98021671, 98019775, 98017465, 98007185, 97999882, 97992887, 97991525, 97989098, 97986602, 97986077, 97983502, 97983305, 97982180, 97981084, 97975893, 97974980, 97973896, 97973116, 97968486, 97961502, 97957650, 97956995, 97954065, 97953549, 97947503, 97947361, 97942707, 97935767, 97935498, 97929201, 97925766, 97924714, 97923311, 97921741, 97920930, 97916794, 97908259, 97904155, 97896079, 97887559, 97886611, 97885951, 97881604, 97880834, 97870581, 97861240, 97856480, 97854874, 97847066, 97843764, 97833159, 97831897, 97821951, 97817018, 97813458, 97811933, 97811371, 97806848, 97806056, 97805443, 97802233, 97798683, 97798199, 97797721, 97795041, 97792757, 97792652, 97791163, 97790832, 97788336, 97777060, 97773041, 97767970, 97766191, 97762333, 97762012, 97760840, 97758451, 97753815, 97748603, 97747855, 97747110, 97745524, 97740370, 97738109, 97730225, 97721167, 97720021, 97714218, 97708198, 97707053, 97705618, 97702884, 97688361, 97684986, 97675685, 97675173, 97671863, 97665983, 97659467, 97658998, 97658525, 97651228, 97647720, 97646911, 97646204, 97642140, 97631774, 97628580, 97624177, 97618362, 97611862, 97605310, 97598205, 97596560, 97592709, 97589109, 97585618, 97583048, 97582459, 97580855, 97578724, 97573650, 97572290, 97569781, 97566229, 97559330, 97558160, 97556258, 97555441, 97551793, 97546055, 97545141, 97541740, 97524411, 97522835, 97518843, 97514228, 97513192, 97511831, 97511061, 97510402, 97508708, 97508638, 97507009, 97504964, 97504711, 97504539, 97498571, 97491887, 97489519, 97488997, 97485791, 97485150, 97483031, 97481066, 97477973, 97476595, 97466005, 97463680, 97462672, 97456363, 97451055, 97447393, 97434569, 97423141, 97421740, 97419628, 97411488, 97405548, 97403579, 97400050, 97398270, 97396281, 97390343, 97389639, 97385035, 97380089, 97379857, 97379540, 97372490, 97368762, 97364875, 97362397, 97361970, 97350908, 97350716, 97349543, 97343300, 97342814, 97336707, 97336458, 97335369, 97334807, 97334078, 97333880, 97329371, 97328549, 97315158, 97314097, 97308228, 97298630, 97292256, 97288026, 97286882, 97282125, 97276498, 97273690, 97268082, 97267552, 97263086, 97262908, 97260813, 97245941, 97242337, 97240046, 97236656, 97236214, 97223972, 97217607, 97216536, 97216411, 97208693, 97200358, 97198902, 97192113, 97189746, 97176008, 97174749, 97174471, 97173920, 97171369, 97170486, 97167484, 97159621, 97158589, 97158385, 97150067, 97135149, 97134850, 97120528, 97120071, 97118690, 97117366, 97098949, 97098799, 97095727, 97095724, 97087480, 97077278, 97076710, 97075504, 97075291, 97074988, 97071058, 97061843, 97060597, 97060432, 97047910, 97047233, 97039931, 97038849, 97035714, 97035327, 97031799, 97029737, 97027745, 97026841, 97024542, 97022695, 97019383, 97016853, 97013399, 97011238, 97005859, 97001711, 96996351, 96994456, 96990826, 96988275, 96984224, 96983339, 96982907, 96981029, 96972574, 96970986, 96963280, 96955764, 96954497, 96953477, 96948736, 96939497, 96939456, 96939205, 96937716, 96930614, 96926557, 96925158, 96925139, 96921556, 96918856, 96918615, 96913900, 96913297, 96906205, 96903279, 96901966, 96900617, 96899365, 96899239, 96896738, 96894120, 96888442, 96885990, 96876407, 96858486, 96856711, 96855298, 96850444, 96849778, 96840975, 96839013, 96837758, 96832378, 96826788, 96823933, 96822177, 96821499, 96820294, 96820236, 96813343, 96798209, 96797320, 96797214, 96795219, 96793311, 96790206, 96786647, 96783466, 96780280, 96779082, 96774879, 96768568, 96766132, 96765785, 96765268, 96765177, 96759654, 96758128, 96754371, 96751309, 96743243, 96742635, 96740177, 96732715, 96731320, 96730654, 96725934, 96716846, 96714945, 96714747, 96706090, 96703210, 96701498, 96701292, 96701112, 96700577, 96693334, 96688972, 96684999, 96682337, 96677079, 96675501, 96670453, 96658065, 96649042, 96642761, 96636165, 96633781, 96632822, 96632294, 96631682, 96627674, 96620589, 96615607, 96611076, 96605915, 96602083, 96593630, 96593200, 96591985, 96586095, 96585710, 96585564, 96582858, 96580464, 96576590, 96575003, 96570692, 96570255, 96569860, 96568279, 96567799, 96565448, 96565272, 96565212, 96564942, 96556939, 96555746, 96555709, 96547446, 96545756, 96542399, 96536093, 96534675, 96533124, 96533030, 96532316, 96531958, 96527337, 96525955, 96525049, 96524457, 96523039, 96522043, 96518401, 96517218, 96513775, 96502187, 96501677, 96497001, 96493230, 96492322, 96491629, 96491086, 96491064, 96491053, 96485402, 96482025, 96475032, 96472653, 96468657, 96465865, 96462610, 96461921, 96460177, 96451302, 96450952, 96448881, 96442769, 96436567, 96432183, 96422540, 96421564, 96420335, 96419840, 96418616, 96417799, 96414927, 96412780, 96411205, 96410065, 96406549, 96406480, 96405290, 96403790, 96401384, 96400585, 96387097, 96384738, 96378071, 96375426, 96375398, 96374794, 96367323, 96366814, 96364549, 96362090, 96358724, 96356244, 96345653, 96344829, 96344769, 96343426, 96341820, 96337101, 96325829, 96324424, 96323385, 96322920, 96320546, 96310038, 96307952, 96306944, 96301054, 96295053, 96291911, 96287836, 96287249, 96283560, 96279694, 96275510, 96272741, 96269771, 96257389, 96247331, 96246238, 96236095, 96232586, 96230001, 96229974, 96226688, 96220333, 96215157, 96207771, 96206834, 96203558, 96197676, 96194638, 96192746, 96185067, 96183098, 96182460, 96179533, 96177012, 96176656, 96170697, 96170162, 96169367, 96168094, 96161643, 96158579, 96157979, 96146392, 96144857, 96142175, 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2057396, 2055383, 2053266, 2049416, 2046280, 2045427, 2043204, 2037042, 2028455, 2024224, 2023335, 2011687, 2009463, 2003339, 2002072, 1999118, 1996005, 1994844, 1992460, 1984938, 1983164, 1979743, 1973709, 1966942, 1966107, 1960409, 1960203, 1952791, 1951066, 1949891, 1948723, 1946256, 1945834, 1944329, 1936471, 1933505, 1928855, 1928096, 1924527, 1923266, 1916842, 1912100, 1906979, 1906203, 1905541, 1897122, 1888116, 1871979, 1871094, 1870428, 1860706, 1860527, 1858809, 1852093, 1848192, 1845739, 1842364, 1838723, 1838421, 1835829, 1830908, 1829530, 1829512, 1828775, 1828451, 1826452, 1814088, 1810858, 1795379, 1791358, 1789727, 1784073, 1781695, 1781609, 1781246, 1778693, 1778410, 1774576, 1763858, 1759397, 1759090, 1756539, 1752241, 1746855, 1746683, 1741726, 1734310, 1729698, 1728688, 1727064, 1724164, 1723762, 1723170, 1722023, 1717350, 1716078, 1707960, 1707341, 1706767, 1705091, 1704133, 1696615, 1696585, 1691259, 1688477, 1686656, 1682610, 1682354, 1680556, 1668774, 1660458, 1657167, 1644640, 1640889, 1640092, 1638647, 1631841, 1630033, 1625758, 1624485, 1624266, 1623946, 1621692, 1620981, 1620633, 1617439, 1611086, 1607205, 1600680, 1597885, 1597561, 1595551, 1587052, 1577629, 1573053, 1568910, 1562241, 1559017, 1558892, 1558317, 1556943, 1555647, 1551146, 1549890, 1544050, 1520727, 1520071, 1519754, 1516351, 1505699, 1503841, 1500951, 1494578, 1492763, 1492409, 1491462, 1487728, 1480747, 1479524, 1478904, 1473589, 1473373, 1472880, 1471563, 1469781, 1468644, 1463869, 1456281, 1454514, 1451053, 1448594, 1447836, 1442536, 1441592, 1435015, 1429737, 1420949, 1417859, 1413736, 1413490, 1411906, 1409787, 1408921, 1407389, 1405912, 1400881, 1398407, 1398032, 1396522, 1394233, 1394036, 1393494, 1393403, 1388167, 1385064, 1382890, 1378079, 1374098, 1368744, 1367651, 1366344, 1364010, 1360963, 1358834, 1357390, 1355083, 1353221, 1350328, 1346411, 1346079, 1342181, 1338644, 1334862, 1333307, 1333132, 1329717, 1328775, 1326522, 1320820, 1318695, 1318113, 1314569, 1313784, 1301902, 1300242, 1296747, 1294282, 1293380, 1291358, 1289256, 1288235, 1287508, 1287033, 1282049, 1280517, 1278950, 1278724, 1274178, 1273478, 1272736, 1271491, 1268215, 1268165, 1267827, 1267183, 1263123, 1262034, 1258159, 1257413, 1253426, 1250699, 1244379, 1233207, 1227419, 1226147, 1225340, 1219669, 1211324, 1210648, 1210602, 1204636, 1201013, 1198878, 1194229, 1192444, 1191034, 1176990, 1169209, 1168284, 1165249, 1164835, 1162822, 1161126, 1156627, 1153906, 1147604, 1147283, 1144753, 1139519, 1136195, 1125772, 1124049, 1116536, 1115996, 1112722, 1112213, 1104941, 1095678, 1095003, 1092037, 1091773, 1091647, 1083687, 1083189, 1079859, 1073174, 1070194, 1054512, 1051314, 1049211, 1046013, 1040092, 1036757, 1030028, 1029328, 1024759, 1008628, 1000359, 997520, 993547, 984661, 979143, 977849, 973577, 969721, 969089, 968968, 967002, 965977, 960887, 954044, 948868, 943890, 941144, 938741, 938489, 932540, 929612, 925036, 923849, 920130, 919393, 918599, 916895, 901527, 897314, 877874, 873066, 871642, 871000, 862878, 858004, 851856, 847594, 845786, 830926, 830679, 829623, 827646, 826607, 825714, 817884, 816643, 812066, 795650, 793664, 792299, 792283, 790943, 780878, 777484, 772357, 771445, 770998, 770813, 755475, 749871, 742956, 739919, 738777, 738315, 732229, 730023, 728207, 727282, 722285, 721144, 717691, 717640, 717555, 717016, 716078, 711974, 708382, 706514, 706134, 704432, 697063, 686615, 682763, 677986, 674806, 673547, 673378, 665084, 665061, 662951, 648898, 646744, 638312, 635250, 633946, 631381, 631025, 630390, 630045, 622500, 606405, 606043, 602475, 596801, 596258, 595780, 587875, 583865, 582046, 580306, 579890, 579851, 578240, 576957, 576162, 571492, 570903, 569995, 569317, 569140, 568467, 567042, 561562, 561254, 561228, 560266, 554806, 553775, 553197, 552207, 551558, 550254, 548929, 548280, 545513, 543191, 540831, 533137, 527054, 525382, 524189, 524086, 517322, 514812, 512513, 506414, 501390, 501167, 500085, 496639, 489735, 486229, 477624, 473162, 472140, 464649, 451638, 448333, 445316, 442563, 442266, 438668, 435091, 434769, 434004, 433787, 431476, 430397, 427959, 423746, 422240, 415544, 414394, 411727, 409980, 409247, 408242, 405778, 404898, 401826, 399262, 395922, 395317, 394204, 390345, 389019, 387329, 384213, 383368, 381874, 379136, 378057, 373319, 366769, 366555, 362785, 361978, 359944, 355668, 353389, 351047, 349809, 344317, 342290, 341028, 337776, 325778, 323152, 316598, 311812, 308561, 304681, 303182, 301456, 297039, 296193, 295335, 295266, 294321, 292251, 291363, 289827, 287026, 284663, 277683, 276936, 273581, 268000, 266793, 263953, 263526, 263223, 261098, 258123, 258004, 252210, 249873, 248537, 244635, 239900, 239427, 227642, 224187, 223724, 222424, 221730, 220209, 216153, 213856, 213597, 208479, 208312, 203822, 200777, 197772, 194004, 193658, 193307, 192739, 192218, 188121, 188106, 187066, 186462, 183945, 176081, 174908, 171305, 170918, 168780, 153980, 152405, 150594, 149894, 149750, 147426, 146585, 145738, 140242, 135931, 134260, 132748, 131386, 130407, 127663, 125649, 122382, 122236, 105525, 90569, 83472, 80674, 73273, 71305, 64920, 63085, 62622, 55858, 54646, 54150, 54148, 51738, 50994, 49943, 49261, 43368, 40549, 40197, 29944, 27208, 22529, 18857, 18276, 15385, 7132, 6283, 3219),8124), BigInt("701543114121")) + } + + test("test8") { + assertEquals(Main.maximumHappinessSum(List(99999464, 99997875, 99996993, 99996756, 99996313, 99996037, 99995961, 99994486, 99994295, 99992764, 99990825, 99990399, 99986635, 99982579, 99982548, 99980142, 99978084, 99974883, 99974739, 99973673, 99973139, 99971598, 99970411, 99970235, 99969714, 99966934, 99962089, 99961279, 99960728, 99959349, 99958147, 99956943, 99956383, 99955431, 99953314, 99952115, 99951816, 99950071, 99949539, 99949302, 99947882, 99947477, 99944233, 99943893, 99943688, 99943503, 99942909, 99940701, 99940682, 99937880, 99937147, 99936198, 99931959, 99931433, 99929685, 99927815, 99926270, 99924406, 99920698, 99918169, 99917398, 99916589, 99913975, 99912725, 99912560, 99912154, 99911061, 99908543, 99907937, 99903622, 99903270, 99902847, 99902647, 99901807, 99900419, 99899390, 99898020, 99897909, 99897171, 99896927, 99896621, 99896305, 99894695, 99893629, 99893581, 99891020, 99890883, 99888796, 99888304, 99888100, 99887875, 99887631, 99887505, 99885849, 99885404, 99885239, 99879797, 99877541, 99877336, 99877126, 99876911, 99876308, 99875221, 99874913, 99874135, 99870987, 99870820, 99869344, 99868373, 99867601, 99867361, 99866926, 99866586, 99863557, 99863056, 99862640, 99860510, 99859536, 99859303, 99859257, 99855267, 99854889, 99854543, 99854225, 99853539, 99852816, 99850562, 99845635, 99844307, 99844172, 99841840, 99839246, 99838288, 99837935, 99837073, 99836769, 99836550, 99835196, 99830618, 99830436, 99830098, 99828967, 99828910, 99828165, 99822652, 99821133, 99818916, 99818408, 99818265, 99818242, 99813497, 99810359, 99809099, 99804804, 99804553, 99804343, 99803749, 99803641, 99803248, 99803003, 99802706, 99800744, 99800419, 99800025, 99799775, 99797995, 99794515, 99794385, 99793294, 99793129, 99792152, 99791292, 99790867, 99789629, 99789375, 99786120, 99784909, 99782891, 99781107, 99780487, 99779823, 99777749, 99776729, 99776518, 99776041, 99775968, 99775039, 99774936, 99774055, 99771385, 99769699, 99767951, 99766026, 99763465, 99761988, 99761109, 99760785, 99760172, 99759911, 99758296, 99754506, 99754134, 99750653, 99749560, 99748678, 99745897, 99744703, 99740301, 99739001, 99738852, 99736863, 99735679, 99735608, 99735131, 99732813, 99732363, 99731151, 99730402, 99725075, 99724241, 99723885, 99723477, 99723146, 99722294, 99722191, 99722148, 99721448, 99720553, 99720534, 99719930, 99719705, 99718788, 99717696, 99717560, 99715404, 99713851, 99713833, 99713426, 99710390, 99709868, 99706443, 99704865, 99704347, 99698210, 99697573, 99695713, 99693107, 99693006, 99690886, 99690379, 99689556, 99688807, 99688065, 99687223, 99686439, 99685898, 99683794, 99682998, 99681665, 99681038, 99680693, 99680063, 99678157, 99675006, 99674941, 99671918, 99671422, 99668417, 99668185, 99667259, 99663947, 99663848, 99662205, 99660419, 99659211, 99658799, 99657521, 99656822, 99656573, 99656569, 99655299, 99654499, 99653465, 99652454, 99652032, 99651377, 99650380, 99649306, 99648537, 99648250, 99647917, 99644844, 99644794, 99644210, 99642897, 99640497, 99639752, 99637927, 99635962, 99634391, 99633253, 99632782, 99632077, 99631944, 99631524, 99631490, 99628231, 99627146, 99625208, 99623431, 99622983, 99620559, 99620084, 99619965, 99619388, 99619133, 99617419, 99616469, 99615442, 99614592, 99613799, 99611670, 99611340, 99609932, 99609219, 99609024, 99608753, 99607490, 99606810, 99606562, 99600632, 99599811, 99596894, 99596845, 99596623, 99595845, 99595042, 99594133, 99592875, 99591154, 99591040, 99589562, 99588378, 99587478, 99584708, 99583934, 99583347, 99582889, 99581793, 99580590, 99580160, 99579217, 99579160, 99577887, 99577321, 99577170, 99575333, 99574165, 99574113, 99573114, 99571748, 99571480, 99570815, 99569388, 99568560, 99568056, 99564863, 99562938, 99562252, 99561384, 99560720, 99558963, 99558302, 99556137, 99554515, 99554189, 99554125, 99553263, 99552109, 99552053, 99548643, 99548335, 99547968, 99542924, 99541713, 99539064, 99538019, 99537695, 99536967, 99535574, 99535327, 99534796, 99534316, 99533799, 99533413, 99532598, 99530844, 99530821, 99530135, 99527366, 99525817, 99525303, 99525087, 99523278, 99520418, 99518764, 99516588, 99515144, 99514793, 99511941, 99511357, 99505964, 99504894, 99504263, 99502714, 99497820, 99496147, 99496060, 99492232, 99487782, 99486681, 99484735, 99483808, 99483255, 99480370, 99478856, 99477537, 99476060, 99474982, 99473603, 99471070, 99470961, 99469867, 99468717, 99468696, 99468438, 99466388, 99464369, 99454659, 99454653, 99453797, 99453588, 99452878, 99452327, 99451160, 99448833, 99448280, 99448159, 99446383, 99445585, 99445098, 99444622, 99444454, 99444341, 99443895, 99443755, 99442172, 99442113, 99440995, 99436930, 99436510, 99436327, 99436097, 99435362, 99435234, 99434804, 99433417, 99433335, 99432677, 99431950, 99431621, 99431568, 99430930, 99425819, 99425249, 99424580, 99424168, 99424107, 99421147, 99419625, 99419551, 99417646, 99416899, 99416593, 99415836, 99415236, 99413992, 99412885, 99408189, 99406304, 99405555, 99404414, 99401487, 99397033, 99396448, 99392674, 99391988, 99391897, 99391258, 99390875, 99388188, 99385969, 99385436, 99384621, 99384486, 99378270, 99378032, 99377941, 99377397, 99374804, 99371849, 99370096, 99369823, 99369646, 99369230, 99368099, 99366393, 99365575, 99365480, 99364412, 99359637, 99357136, 99354879, 99352913, 99351160, 99350517, 99349624, 99349343, 99349007, 99348451, 99345598, 99343466, 99341638, 99340337, 99337961, 99337610, 99336555, 99336426, 99335200, 99332644, 99332155, 99332141, 99330778, 99330248, 99330243, 99326853, 99325859, 99323831, 99323772, 99323102, 99322487, 99322322, 99322320, 99321126, 99321078, 99320963, 99319638, 99319464, 99318357, 99315858, 99313778, 99313749, 99312460, 99311738, 99311338, 99310348, 99310129, 99310013, 99307547, 99306604, 99303690, 99303141, 99302736, 99294626, 99294116, 99292757, 99292161, 99291138, 99290480, 99287213, 99286697, 99286664, 99284191, 99283665, 99281613, 99278599, 99278238, 99277803, 99275903, 99274139, 99271149, 99269790, 99266854, 99264019, 99260706, 99254691, 99254356, 99253612, 99253153, 99251204, 99250656, 99249706, 99248448, 99247645, 99247507, 99245565, 99245160, 99242382, 99241472, 99239979, 99238784, 99238280, 99238123, 99236345, 99236069, 99236016, 99235936, 99233331, 99232262, 99231668, 99229388, 99228057, 99227081, 99225123, 99222462, 99222111, 99222012, 99220265, 99219556, 99217158, 99215420, 99214425, 99213097, 99212097, 99211307, 99210806, 99210366, 99209682, 99208650, 99207731, 99207433, 99206920, 99205193, 99203874, 99203468, 99200610, 99200061, 99199428, 99199325, 99197973, 99194837, 99194521, 99194108, 99191191, 99189614, 99189463, 99188817, 99188768, 99185812, 99185426, 99182416, 99182341, 99182225, 99181913, 99181599, 99180354, 99180094, 99179154, 99177427, 99175138, 99173518, 99170483, 99170298, 99167907, 99165963, 99165482, 99164414, 99163218, 99162247, 99162215, 99155495, 99149884, 99149761, 99146376, 99145617, 99142416, 99142229, 99142084, 99141682, 99141412, 99140596, 99140360, 99137948, 99137093, 99136302, 99135840, 99134522, 99132225, 99131307, 99126648, 99126270, 99124805, 99124695, 99122875, 99122685, 99122457, 99121633, 99118969, 99117935, 99117085, 99114875, 99114066, 99112828, 99111140, 99110817, 99110186, 99104614, 99103968, 99103790, 99103088, 99103078, 99102714, 99102469, 99102209, 99101439, 99100834, 99097634, 99097373, 99091723, 99090806, 99090256, 99085349, 99084583, 99082272, 99082137, 99082022, 99079503, 99079358, 99078849, 99078335, 99076372, 99076133, 99075984, 99075896, 99075489, 99075378, 99071585, 99071142, 99070559, 99069886, 99069792, 99069600, 99068178, 99067542, 99063710, 99062670, 99062040, 99060394, 99058916, 99057414, 99056028, 99055811, 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1414796, 1414152, 1412785, 1408871, 1405544, 1404930, 1404621, 1404318, 1403620, 1400146, 1396398, 1395416, 1394330, 1393849, 1392737, 1392370, 1390743, 1388050, 1388007, 1387986, 1387869, 1387669, 1387303, 1386230, 1382779, 1381547, 1378160, 1376742, 1374901, 1372558, 1372399, 1370726, 1369374, 1369277, 1364541, 1364411, 1363097, 1361416, 1360535, 1360408, 1360331, 1359554, 1357591, 1357070, 1356215, 1353496, 1353089, 1351742, 1351247, 1345197, 1341369, 1338212, 1337273, 1337199, 1335868, 1334053, 1334015, 1333867, 1331842, 1329909, 1326967, 1325319, 1325243, 1324122, 1323441, 1323202, 1322917, 1320117, 1319980, 1319907, 1319127, 1319066, 1319039, 1318266, 1317635, 1317561, 1314947, 1313751, 1313427, 1312658, 1311867, 1311367, 1309631, 1309610, 1308709, 1307930, 1306805, 1300446, 1298542, 1298240, 1297754, 1297249, 1292822, 1290646, 1287071, 1285447, 1284680, 1282569, 1282555, 1282213, 1282075, 1281918, 1280474, 1280125, 1276082, 1274020, 1273596, 1269263, 1268670, 1268541, 1268129, 1266298, 1265739, 1264191, 1263585, 1262226, 1261003, 1260775, 1259369, 1258707, 1257481, 1255089, 1254160, 1253734, 1252825, 1252670, 1249461, 1246716, 1246240, 1245986, 1245847, 1245058, 1244450, 1244351, 1244325, 1242107, 1241818, 1240910, 1240275, 1240145, 1238614, 1237870, 1237813, 1237237, 1236761, 1235720, 1232907, 1232433, 1231732, 1231570, 1230645, 1230313, 1229967, 1229294, 1229045, 1228667, 1224924, 1223237, 1222226, 1216985, 1212753, 1211250, 1210411, 1209122, 1206024, 1205955, 1205307, 1204843, 1204781, 1200857, 1199922, 1199721, 1199385, 1196168, 1195218, 1194296, 1193015, 1191389, 1189098, 1188967, 1187656, 1184304, 1183572, 1183331, 1181761, 1177139, 1176384, 1176379, 1173930, 1170941, 1170881, 1169152, 1169015, 1168676, 1168346, 1165994, 1165254, 1164250, 1163864, 1163211, 1160814, 1159602, 1158901, 1157172, 1155477, 1155142, 1154298, 1152781, 1152475, 1152194, 1151781, 1150243, 1148530, 1148105, 1147756, 1146964, 1146588, 1146110, 1144404, 1143383, 1138098, 1134294, 1132996, 1132275, 1131469, 1131012, 1130428, 1126903, 1124581, 1121161, 1120661, 1120188, 1119638, 1117026, 1114323, 1112693, 1111042, 1110075, 1107863, 1104255, 1101266, 1098900, 1096742, 1094572, 1094557, 1093040, 1091023, 1090203, 1088520, 1087947, 1087856, 1087147, 1086517, 1086082, 1085361, 1084601, 1084549, 1083269, 1082354, 1080496, 1078092, 1074345, 1073547, 1072329, 1071009, 1070681, 1068413, 1067123, 1066282, 1066039, 1065534, 1062812, 1060342, 1060213, 1056887, 1056547, 1054711, 1054608, 1052844, 1051671, 1049329, 1047562, 1047362, 1046365, 1046147, 1045123, 1044544, 1044334, 1041975, 1040908, 1039843, 1039246, 1038641, 1038581, 1037343, 1036976, 1035144, 1034174, 1032493, 1031813, 1030097, 1028943, 1024561, 1023951, 1022525, 1021754, 1021653, 1021250, 1019696, 1018293, 1017489, 1015420, 1013713, 1013460, 1012788, 1012267, 1009449, 1008141, 1005501, 1004163, 1003955, 1002596, 1002197, 999137, 997633, 997534, 994760, 993236, 991473, 990201, 989120, 987596, 987361, 986206, 986160, 984795, 983633, 981501, 980265, 978935, 976520, 976131, 975702, 973980, 972837, 971989, 971613, 970531, 969346, 969084, 965940, 965749, 965522, 963427, 963354, 962795, 961759, 960586, 958535, 956910, 955637, 955511, 955089, 954988, 953510, 953243, 952821, 950807, 946352, 946292, 946124, 941845, 939244, 937954, 935693, 935632, 934989, 934167, 932590, 930857, 930152, 929738, 927378, 926177, 925609, 922578, 921064, 919700, 918855, 915968, 915600, 915238, 914937, 912113, 908349, 906386, 903516, 902992, 902842, 900328, 900275, 899298, 898838, 898816, 897778, 896561, 894895, 892982, 889484, 888967, 888508, 888237, 887407, 886350, 884791, 884539, 884465, 881997, 880176, 879146, 877858, 873882, 872705, 872389, 872134, 870241, 869968, 869532, 868581, 867695, 867510, 863684, 863481, 862800, 861923, 861481, 861102, 859764, 859561, 859180, 858190, 856679, 856405, 852815, 852551, 852408, 849939, 849742, 848577, 847266, 846806, 844482, 844335, 843615, 843490, 842350, 841908, 840369, 839983, 839916, 839365, 835177, 829615, 829548, 829316, 828863, 826676, 825794, 825556, 825289, 823739, 822884, 821387, 820358, 819702, 817808, 816923, 816868, 815791, 814360, 814260, 813936, 812685, 810830, 809475, 809349, 805492, 804398, 802844, 802795, 802408, 802354, 800669, 799566, 796468, 796178, 795696, 793994, 793992, 793937, 792668, 791554, 791403, 788958, 788807, 786921, 784148, 780761, 780211, 779824, 779521, 779166, 778699, 775313, 771593, 769769, 767438, 766595, 766193, 763617, 762420, 761188, 759630, 757997, 757362, 755959, 755852, 755540, 753677, 753391, 753210, 752944, 750526, 749897, 749444, 747475, 741750, 741297, 740713, 739626, 737465, 734606, 732766, 731015, 730788, 730569, 730528, 729597, 726419, 723346, 722405, 720286, 718907, 718814, 715288, 714807, 714450, 713883, 713419, 711745, 708379, 708057, 702655, 702310, 699017, 698286, 698000, 696912, 695774, 694705, 694085, 693418, 692852, 692580, 691148, 688432, 688104, 685982, 685096, 684774, 680843, 676404, 674511, 669489, 668677, 668270, 668243, 668040, 667628, 666703, 665070, 663347, 661426, 661159, 660943, 660629, 656504, 652599, 651043, 650701, 650519, 649579, 648226, 647151, 645985, 644295, 641061, 640842, 640190, 639821, 638954, 637289, 637222, 636882, 636713, 636425, 634915, 634408, 631136, 630717, 629742, 627844, 627681, 627647, 627419, 626673, 626087, 624864, 622639, 620264, 620060, 619041, 618199, 618073, 614830, 614344, 611473, 605481, 602509, 601845, 599691, 599567, 599248, 596367, 594791, 592745, 592460, 591796, 591629, 587525, 587313, 587265, 583191, 582592, 580273, 577969, 577619, 575526, 575307, 573719, 571859, 571821, 568829, 568437, 568073, 567890, 567255, 563487, 561898, 561367, 561080, 558760, 558653, 554316, 552464, 552041, 551111, 545557, 544829, 543576, 543264, 542276, 541744, 539445, 538553, 533966, 529997, 529918, 529393, 526930, 526002, 525389, 523161, 523057, 521768, 521287, 520255, 518835, 516216, 514575, 513418, 511033, 510974, 510948, 509110, 505760, 504770, 503942, 503898, 503539, 502372, 498671, 496634, 496363, 496177, 494024, 493208, 492312, 491598, 489215, 486852, 485711, 485566, 485254, 482654, 481975, 479939, 479069, 477842, 472402, 469494, 467852, 463052, 461489, 461449, 460951, 460631, 460028, 459307, 458316, 458220, 457698, 457616, 457066, 453007, 452590, 451970, 451424, 451424, 451141, 448644, 446461, 446139, 444795, 443558, 442810, 441562, 441092, 441068, 440613, 439596, 438317, 436941, 436425, 436014, 433530, 432477, 431062, 429892, 425554, 424494, 423118, 422703, 420729, 419276, 418830, 418224, 417734, 415625, 414546, 413062, 411356, 411349, 409146, 408990, 407991, 405126, 403026, 398772, 398334, 397577, 395947, 394798, 394077, 393106, 392215, 390864, 390651, 390366, 389153, 386869, 386472, 385120, 382780, 381286, 381128, 379002, 378772, 376973, 376303, 374157, 373680, 372807, 371187, 370974, 369833, 367711, 367578, 366842, 366138, 364236, 363665, 363034, 362744, 362497, 361011, 359835, 358831, 356625, 353669, 353442, 349832, 346996, 346710, 346430, 344104, 339514, 339079, 338768, 334667, 333774, 333093, 332196, 331296, 331069, 329579, 323501, 322853, 319381, 318767, 317560, 317540, 313647, 313627, 313249, 309960, 309421, 308284, 307833, 307660, 305742, 305738, 304721, 303788, 303107, 302313, 300937, 298679, 298333, 298188, 297779, 297424, 296510, 295666, 294179, 293572, 293267, 293101, 290840, 288483, 288400, 288324, 286149, 285429, 282556, 281893, 279896, 274133, 273624, 273360, 272314, 270066, 269801, 268565, 267406, 267056, 266604, 266404, 261279, 255403, 254278, 253521, 252897, 252584, 252521, 251007, 247867, 247637, 246120, 245470, 244913, 240922, 239839, 238350, 235737, 234809, 233133, 231841, 231752, 229134, 228789, 226661, 225669, 223173, 222978, 221449, 220363, 219387, 218679, 218453, 217449, 216661, 215535, 214935, 213219, 212898, 212166, 211981, 211349, 209597, 208374, 207325, 207232, 206681, 205342, 204137, 203782, 203378, 203260, 202845, 202759, 201598, 201143, 200781, 199994, 199331, 196021, 194916, 194297, 192645, 191611, 191412, 189747, 188403, 188055, 185308, 184503, 184208, 182807, 182443, 179411, 177475, 174364, 166077, 163277, 159655, 158520, 157358, 156743, 155395, 153954, 152820, 151886, 149912, 149596, 148607, 147591, 147104, 145761, 143237, 141285, 140422, 139725, 136061, 134843, 133380, 132730, 131431, 128802, 126605, 126219, 124775, 120177, 119415, 118798, 117227, 115720, 115207, 114882, 114681, 114464, 114245, 113839, 112887, 110871, 110690, 110611, 108672, 108174, 108121, 107805, 105516, 102473, 101006, 100867, 99886, 99085, 98096, 97192, 96983, 96106, 96016, 94213, 93846, 93846, 93655, 92187, 91567, 91484, 91054, 90659, 90495, 85518, 80496, 79967, 79073, 76612, 75669, 75619, 75383, 71946, 68132, 63967, 62991, 62020, 61854, 60183, 59165, 58268, 58007, 55055, 53412, 52379, 52190, 51671, 49890, 49558, 45932, 45095, 42688, 40196, 39051, 38645, 36444, 35516, 34043, 32961, 32882, 32287, 29647, 29346, 28399, 28135, 27612, 27244, 26841, 25563, 23758, 23639, 22684, 21294, 20739, 19184, 18224, 18084, 15658, 14922, 14656, 13574, 13301, 13111, 9908, 5034, 3261),22831), BigInt("1958739121751")) + } + + test("test9") { + assertEquals(Main.maximumHappinessSum(List(99999665, 99998573, 99997078, 99993851, 99993836, 99993684, 99993312, 99992945, 99992653, 99992626, 99990759, 99990207, 99988509, 99988213, 99987839, 99987657, 99986639, 99986273, 99985802, 99985613, 99985293, 99985089, 99984094, 99982918, 99982836, 99982763, 99982623, 99982294, 99981951, 99981273, 99980523, 99980285, 99980121, 99979769, 99979018, 99978393, 99976301, 99975513, 99974899, 99974436, 99974420, 99973665, 99973453, 99972737, 99972537, 99972096, 99970488, 99970253, 99970190, 99969101, 99968742, 99967827, 99967453, 99967377, 99966588, 99965881, 99964713, 99963770, 99963377, 99963148, 99963009, 99962499, 99960078, 99959497, 99959495, 99959472, 99959260, 99959063, 99958256, 99957641, 99957175, 99954037, 99953599, 99953370, 99953271, 99953213, 99952458, 99950918, 99948671, 99948657, 99947805, 99945557, 99944963, 99943792, 99942743, 99942541, 99942489, 99940776, 99940593, 99940120, 99939506, 99939407, 99938080, 99937414, 99937405, 99933774, 99933397, 99933287, 99931870, 99931675, 99931174, 99930691, 99930604, 99927593, 99926420, 99925745, 99924382, 99923708, 99922769, 99922198, 99922010, 99921877, 99921802, 99921113, 99920752, 99920305, 99919110, 99916812, 99915951, 99915742, 99915582, 99915409, 99914644, 99913923, 99912769, 99911999, 99911786, 99911248, 99909941, 99909898, 99909664, 99909641, 99908206, 99907922, 99907168, 99906749, 99906523, 99905263, 99904064, 99902985, 99901537, 99901416, 99901346, 99900587, 99900448, 99899717, 99898670, 99898565, 99898268, 99897952, 99897495, 99897491, 99897176, 99896660, 99896579, 99893919, 99893144, 99893024, 99892947, 99892324, 99891484, 99891039, 99889591, 99889574, 99888650, 99888500, 99887936, 99886893, 99886387, 99886111, 99885389, 99885155, 99885119, 99884954, 99883500, 99883442, 99882608, 99882450, 99881185, 99879960, 99879468, 99879239, 99877866, 99875348, 99874919, 99873351, 99873330, 99871931, 99871858, 99871550, 99870996, 99870951, 99870099, 99869378, 99869133, 99868147, 99868095, 99867438, 99866873, 99865450, 99865291, 99865268, 99864627, 99864594, 99864060, 99862810, 99860883, 99859373, 99857378, 99857230, 99855077, 99854911, 99853590, 99853368, 99852110, 99851625, 99850329, 99850159, 99850108, 99850010, 99849645, 99848016, 99847699, 99847520, 99847382, 99846399, 99845998, 99845546, 99845529, 99844616, 99844583, 99844344, 99843707, 99843180, 99842964, 99842944, 99842565, 99842426, 99842235, 99841999, 99841313, 99840804, 99840538, 99839542, 99839464, 99839165, 99839140, 99838995, 99837851, 99837195, 99836631, 99835237, 99835054, 99834740, 99834119, 99832801, 99832452, 99831734, 99831719, 99831562, 99831503, 99831469, 99831270, 99830999, 99829723, 99829714, 99828919, 99827757, 99827638, 99827428, 99827287, 99827152, 99827140, 99827046, 99826715, 99826616, 99826187, 99826002, 99825564, 99825445, 99825180, 99824202, 99823820, 99821111, 99820982, 99819269, 99818927, 99817824, 99817819, 99815427, 99814202, 99811399, 99811300, 99810628, 99809713, 99807471, 99806803, 99806094, 99806052, 99805000, 99804935, 99804811, 99803356, 99802921, 99802592, 99802076, 99801756, 99801679, 99800488, 99800138, 99799679, 99798761, 99796877, 99795747, 99794710, 99790653, 99790457, 99790250, 99790055, 99789555, 99788811, 99786100, 99785485, 99785330, 99785129, 99784990, 99782452, 99782160, 99777960, 99776768, 99776382, 99776129, 99776097, 99775564, 99775381, 99774578, 99773476, 99772873, 99772594, 99770515, 99769485, 99768678, 99768472, 99768449, 99767967, 99767508, 99767245, 99767161, 99766979, 99766786, 99766108, 99765559, 99764572, 99764094, 99763329, 99762281, 99762083, 99761654, 99761552, 99761247, 99760758, 99757932, 99757721, 99757706, 99757535, 99757378, 99757334, 99757144, 99755593, 99755507, 99755277, 99755111, 99754926, 99753891, 99753774, 99751691, 99751308, 99750881, 99750868, 99750777, 99750597, 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627470, 626754, 625406, 625385, 624517, 624363, 622147, 621871, 619941, 619901, 619620, 619554, 618962, 617869, 617819, 617469, 616988, 614293, 614225, 613017, 612810, 612414, 611286, 609114, 608809, 608396, 608368, 608045, 607882, 607855, 607658, 606283, 606224, 605528, 605458, 605117, 602917, 601593, 599950, 599061, 599012, 598671, 598093, 597765, 597715, 597219, 596993, 596291, 594365, 592534, 591813, 589200, 589157, 587851, 586417, 586044, 585908, 585266, 585238, 585150, 584204, 583490, 583488, 583087, 582552, 582416, 582008, 581678, 581555, 581305, 580366, 579672, 579296, 579074, 577358, 576998, 576953, 571692, 571221, 570882, 569961, 569904, 569241, 569197, 567413, 567136, 567045, 566691, 565831, 565466, 565018, 564754, 563334, 562102, 562099, 561233, 560529, 559465, 556893, 556545, 556415, 556250, 555999, 555449, 554560, 554170, 553691, 553615, 553426, 552548, 551927, 550124, 548253, 547770, 547243, 545075, 544657, 544566, 543522, 541472, 540858, 540599, 540125, 539581, 539468, 538878, 538653, 538385, 538186, 537451, 537365, 536120, 534114, 533722, 531854, 531702, 530665, 530582, 530208, 529837, 529262, 529017, 528841, 528579, 528268, 526916, 526739, 525820, 525448, 524600, 524093, 523306, 522519, 520315, 520237, 519402, 517039, 514423, 514244, 513756, 512823, 511638, 510546, 510281, 510264, 510079, 509708, 509521, 509092, 508895, 508624, 507872, 507826, 507692, 507613, 507200, 507122, 506483, 505513, 505062, 504487, 503842, 503243, 502976, 502769, 502020, 501456, 500599, 499791, 499630, 499497, 498850, 498396, 497712, 497495, 497471, 497248, 497011, 496611, 496564, 496078, 493087, 493061, 492860, 490948, 490442, 489770, 488962, 486532, 486145, 485925, 485817, 485344, 484480, 484097, 484070, 483725, 483684, 480968, 479642, 479087, 474826, 474791, 474282, 473526, 473213, 473045, 472864, 470831, 470819, 469993, 468313, 467793, 467438, 467074, 466260, 466043, 464998, 464945, 463925, 463920, 461723, 461490, 461238, 461135, 461064, 460930, 459982, 459776, 458428, 457894, 457826, 457741, 456785, 456606, 456341, 455560, 455010, 453995, 453893, 453870, 453586, 453299, 452800, 451901, 451775, 451530, 450836, 450392, 449104, 449096, 448094, 447901, 447663, 447440, 446959, 446929, 445673, 445076, 441191, 440817, 439725, 439710, 438854, 438733, 438651, 438436, 438227, 437335, 436676, 435144, 435134, 432776, 432461, 432139, 431810, 431603, 430293, 429713, 429494, 427018, 427002, 424606, 423758, 423577, 421205, 420860, 420657, 420117, 419985, 419789, 419706, 419433, 418471, 418438, 417522, 416726, 416245, 416181, 416107, 415670, 412269, 412002, 410509, 410443, 409008, 407583, 406395, 405914, 405750, 405519, 405229, 403603, 403389, 403056, 402026, 401006, 398331, 397094, 397013, 395689, 392347, 390033, 388298, 387496, 386279, 385300, 383466, 383333, 382788, 381633, 379429, 379023, 378878, 378322, 378070, 378027, 377267, 376529, 376250, 376011, 375292, 375183, 375061, 374144, 371613, 370788, 370561, 370073, 369772, 369241, 368490, 367559, 367429, 367249, 365863, 363560, 362769, 362710, 360462, 360072, 359133, 358957, 357947, 357064, 356819, 355655, 355493, 355473, 355087, 354546, 354228, 353803, 353134, 352561, 352366, 351916, 351102, 350584, 350583, 348929, 347229, 344085, 342782, 342313, 341855, 340326, 340168, 338770, 338553, 336153, 336023, 335478, 334325, 334123, 332654, 332529, 331136, 330902, 330335, 329579, 329227, 329031, 328427, 326109, 325863, 325537, 325181, 323047, 322452, 322418, 322268, 322002, 321424, 320394, 318710, 318701, 318691, 318188, 318137, 317066, 316921, 316779, 313192, 312752, 308220, 307415, 307347, 306911, 306625, 306294, 305823, 305589, 305471, 305449, 304667, 304620, 304298, 304253, 304196, 302514, 302043, 300419, 298533, 297092, 296144, 295582, 295492, 292889, 292214, 291856, 290543, 288970, 288538, 287760, 287458, 287042, 284849, 284480, 284085, 283597, 282236, 282110, 281460, 275891, 275262, 275182, 274243, 273531, 273460, 273009, 272766, 272552, 271122, 270396, 270224, 270065, 270054, 269122, 267151, 266834, 265733, 265370, 264320, 264077, 263847, 262811, 262700, 262437, 262120, 262030, 261636, 261086, 260713, 260226, 259789, 259280, 258759, 258130, 257902, 257867, 257696, 256994, 256266, 256089, 255055, 254496, 254280, 252416, 252351, 251338, 250865, 250337, 249938, 249110, 248838, 246785, 246649, 246383, 246096, 245910, 245423, 245045, 243035, 241628, 241492, 240072, 239551, 239410, 239385, 239327, 239253, 238665, 238547, 237840, 237426, 237390, 236941, 235823, 235433, 233653, 233322, 232882, 229614, 229417, 228683, 228627, 228485, 228103, 226970, 226269, 225672, 225577, 225366, 224783, 224077, 223984, 223079, 221025, 220498, 219462, 219076, 218549, 218465, 215419, 214219, 214152, 213907, 213637, 211628, 210973, 210611, 210036, 209926, 209508, 209478, 208779, 207395, 206290, 205113, 203544, 202345, 201494, 201473, 201335, 200979, 198821, 198166, 196569, 196518, 195692, 195550, 193599, 193452, 192941, 191695, 191596, 191326, 190256, 188644, 188371, 187850, 186855, 185904, 185599, 185116, 184119, 181526, 181521, 181393, 180475, 179842, 179636, 179464, 179363, 179340, 178382, 177192, 176404, 176239, 173606, 173572, 173119, 172242, 171920, 171907, 171529, 171506, 168690, 167653, 166933, 166229, 165684, 165137, 162808, 160785, 159833, 159166, 158797, 158469, 156955, 156692, 156509, 155529, 155519, 154435, 154298, 153551, 152843, 152446, 151586, 149957, 149701, 149649, 149364, 148797, 147714, 145603, 145227, 144347, 143601, 141287, 138597, 137824, 136983, 136908, 135505, 135429, 134016, 133449, 132689, 132107, 131786, 131432, 130095, 130008, 129458, 129075, 128555, 127087, 126847, 126117, 124372, 122493, 122315, 121628, 121607, 120524, 120138, 120098, 119933, 119025, 118674, 118424, 118229, 118172, 116488, 115170, 114662, 113491, 113424, 113270, 112143, 112029, 111851, 111734, 111196, 110074, 109231, 108939, 108417, 108155, 108083, 107844, 107631, 105276, 105190, 103490, 101851, 101611, 101395, 101272, 99864, 99829, 98667, 98087, 97438, 97217, 96647, 96637, 96025, 92821, 92396, 91911, 91550, 90774, 90423, 88165, 88162, 87861, 86265, 85457, 83631, 83495, 81217, 78969, 78553, 78357, 77162, 76099, 74747, 72097, 70908, 70601, 70109, 69974, 69039, 67861, 66179, 66175, 65357, 64204, 63756, 63229, 62575, 62101, 61948, 61842, 61688, 61463, 61398, 59885, 59318, 58881, 58530, 57260, 54543, 53672, 53108, 52303, 51958, 50071, 49823, 48270, 44814, 44775, 44189, 44011, 42967, 42936, 42820, 42250, 40790, 38445, 38369, 38288, 37655, 37513, 35489, 34932, 32539, 31567, 30924, 30472, 29910, 29373, 28280, 27630, 27594, 26125, 25241, 24957, 24536, 24476, 23524, 23166, 22179, 21481, 20209, 14592, 14570, 13524, 13381, 13339, 13046, 12377, 11972, 11516, 10915, 10268, 10245, 9900, 8768, 8524, 7329, 7235, 5642, 4768, 4728, 4313, 3946, 3186, 2661, 1961, 1514, 1319, 105),14725), BigInt("1398423506536")) + } + + test("test10") { + assertEquals(Main.maximumHappinessSum(List(99999777, 99999325, 99997983, 99997922, 99997592, 99997076, 99996824, 99996455, 99994913, 99994354, 99994149, 99993894, 99993047, 99992702, 99992395, 99992033, 99991124, 99990165, 99989531, 99989252, 99988613, 99987949, 99987549, 99984670, 99983158, 99981568, 99980534, 99977673, 99977252, 99976346, 99975576, 99975306, 99974475, 99974057, 99973547, 99973545, 99973531, 99970998, 99968774, 99968034, 99967888, 99967300, 99966732, 99965079, 99964964, 99964377, 99963461, 99962209, 99961517, 99959244, 99959211, 99958529, 99958438, 99957471, 99957353, 99956496, 99956493, 99956357, 99956188, 99955081, 99954910, 99954271, 99951113, 99948741, 99948359, 99947476, 99944917, 99944695, 99942665, 99942632, 99941329, 99941273, 99940037, 99939709, 99939608, 99938027, 99937694, 99937376, 99937299, 99937288, 99936301, 99934643, 99933516, 99933374, 99933117, 99930338, 99930238, 99929709, 99929348, 99928229, 99927721, 99927363, 99927282, 99927274, 99927043, 99926732, 99926471, 99925761, 99924234, 99923806, 99923560, 99923103, 99922512, 99922288, 99922143, 99921734, 99921438, 99919398, 99919362, 99919164, 99918093, 99918019, 99917224, 99916902, 99916545, 99916535, 99916139, 99915069, 99915050, 99911941, 99911625, 99911580, 99911496, 99911436, 99910569, 99908764, 99908650, 99907581, 99906982, 99905659, 99905443, 99904091, 99903444, 99902833, 99902080, 99901949, 99901197, 99900214, 99898769, 99898018, 99897521, 99896553, 99896328, 99895972, 99895744, 99894866, 99894435, 99894101, 99893172, 99892927, 99892582, 99892239, 99892175, 99891892, 99890851, 99890070, 99887688, 99885069, 99884806, 99884562, 99882480, 99881730, 99880263, 99880188, 99878867, 99876960, 99876311, 99876110, 99875788, 99871766, 99871631, 99871521, 99871003, 99870944, 99870857, 99870652, 99868623, 99868027, 99867862, 99867508, 99865894, 99864472, 99863760, 99862785, 99862501, 99861884, 99860551, 99860430, 99859978, 99859574, 99859564, 99859555, 99857275, 99855720, 99855601, 99854424, 99853709, 99852594, 99850690, 99850398, 99850349, 99848710, 99848400, 99848312, 99847662, 99845433, 99844921, 99841265, 99841065, 99840424, 99840391, 99838891, 99838613, 99837918, 99836629, 99835755, 99835341, 99834313, 99832018, 99831817, 99829745, 99829050, 99827352, 99826408, 99826014, 99825870, 99825396, 99824520, 99823892, 99823406, 99821016, 99820786, 99820215, 99819370, 99819220, 99818948, 99818530, 99813858, 99812162, 99810058, 99809004, 99808371, 99808183, 99807682, 99807640, 99805222, 99804693, 99804250, 99804209, 99803367, 99803165, 99803068, 99802818, 99802499, 99801339, 99801248, 99800819, 99800485, 99799794, 99799674, 99799225, 99799151, 99799085, 99798414, 99797744, 99797443, 99793219, 99792761, 99792633, 99792334, 99791921, 99791897, 99790573, 99790554, 99789939, 99788661, 99787510, 99787299, 99784541, 99784026, 99782845, 99781855, 99780798, 99779226, 99778735, 99777912, 99777452, 99775742, 99773213, 99773090, 99772165, 99771542, 99770255, 99769392, 99769300, 99767876, 99767029, 99766649, 99766375, 99766303, 99764251, 99763739, 99763240, 99762380, 99760859, 99760771, 99758218, 99757093, 99756515, 99756335, 99755132, 99753577, 99752701, 99752648, 99752394, 99749416, 99749283, 99749203, 99748431, 99747665, 99747613, 99746887, 99745025, 99743903, 99743474, 99742511, 99741603, 99741413, 99740323, 99739758, 99739528, 99738194, 99738174, 99737238, 99736431, 99736191, 99735303, 99735298, 99734704, 99734461, 99733204, 99731018, 99729240, 99728883, 99727824, 99725969, 99725146, 99724873, 99724184, 99723236, 99722886, 99721751, 99720535, 99720424, 99720402, 99719525, 99718541, 99718215, 99717975, 99717737, 99716899, 99714964, 99714358, 99714223, 99711228, 99711101, 99710376, 99710318, 99708657, 99708328, 99706011, 99705365, 99704811, 99704716, 99703677, 99701913, 99701250, 99701195, 99700729, 99700625, 99700407, 99700184, 99698010, 99697360, 99697203, 99697160, 99696848, 99695413, 99694962, 99694055, 99693972, 99692887, 99690539, 99689079, 99688648, 99688447, 99688372, 99688332, 99688245, 99687994, 99687043, 99686983, 99686938, 99686348, 99686214, 99684864, 99684637, 99684372, 99683962, 99683022, 99682450, 99681984, 99680284, 99679644, 99678731, 99678389, 99677954, 99677412, 99677208, 99675691, 99675582, 99675451, 99674635, 99673482, 99673145, 99672246, 99671566, 99670409, 99664655, 99664110, 99664100, 99664089, 99663583, 99663470, 99662837, 99662653, 99662564, 99662515, 99662489, 99661192, 99661010, 99660448, 99658292, 99657208, 99656628, 99656062, 99655371, 99655050, 99654702, 99653759, 99652681, 99652037, 99650779, 99650416, 99646557, 99644505, 99644193, 99643632, 99643387, 99643284, 99642904, 99642707, 99642270, 99642252, 99642187, 99640159, 99639918, 99639451, 99639305, 99639233, 99637771, 99637730, 99635817, 99632934, 99632493, 99631819, 99631415, 99631059, 99628899, 99628352, 99627091, 99624583, 99624486, 99624406, 99623478, 99622507, 99622083, 99621882, 99621076, 99621001, 99619503, 99618396, 99618175, 99617893, 99617412, 99617036, 99616255, 99615970, 99615339, 99615084, 99614659, 99613677, 99612309, 99611829, 99611186, 99609620, 99609372, 99609223, 99607973, 99606883, 99606455, 99605724, 99605023, 99604670, 99600169, 99599365, 99598558, 99598396, 99595731, 99594730, 99592568, 99591819, 99591116, 99589940, 99589885, 99588618, 99587162, 99586759, 99586293, 99586085, 99585844, 99584205, 99584179, 99584057, 99582437, 99581528, 99580951, 99580786, 99580241, 99579878, 99576729, 99576195, 99575863, 99575288, 99574682, 99574067, 99573997, 99573548, 99571045, 99568448, 99568113, 99567064, 99565333, 99563059, 99562730, 99562414, 99561755, 99560790, 99559555, 99559447, 99559072, 99559019, 99557164, 99556134, 99556093, 99556047, 99554375, 99554196, 99552798, 99552302, 99551645, 99551292, 99550997, 99549194, 99547969, 99547808, 99547161, 99546488, 99545635, 99545158, 99544708, 99543412, 99542774, 99542661, 99541497, 99540155, 99539948, 99539431, 99538560, 99537935, 99537652, 99536622, 99536537, 99535948, 99535833, 99535441, 99535372, 99534090, 99533938, 99531810, 99531493, 99529489, 99529287, 99529216, 99528689, 99527399, 99526677, 99526502, 99526171, 99525598, 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44975, 43721, 43550, 43549, 43138, 43137, 42755, 40631, 40418, 40358, 40296, 40082, 39694, 37383, 37342, 36500, 35831, 34314, 34151, 33936, 33903, 33671, 30455, 30430, 30292, 27419, 27365, 27218, 27012, 26514, 26030, 24204, 23220, 18271, 16587, 15247, 14291, 13908, 13794, 12715, 12562, 11419, 10882, 10797, 10588, 10508, 10025, 9584, 9270, 7618, 6900, 6798, 6769, 6623, 5802, 4206, 3459, 3036, 2939, 2921, 1545),75136), BigInt("5235929157666")) + } + +}