TopCoder Statistics - Problem Statement

Problem Statement

You are a goblin miner. Your job is to mine gold.

Picture yourself located in a mine. The mine can be seen as a rectangular grid of (N+1) times (M+1) cells. Rows are numbered 0 through N, columns 0 through M.

You will work in the mine for several days. You can choose the cell where you will work today (on day 0). On each of the next days, you can either stay in the cell where you were on the previous day, or you can move to some other cell - within some limits that are explained below.

Whenever somebody discovers gold in the mine, each goblin profits! Your profit is N + M, minus your Manhattan distance from the cell where the gold was discovered. Formally, if the gold is discovered at (a, b) and you are located at (c, d), your profit is N + M - |a-c| - |b-d|, where || denotes absolute value.

You are given the ints N and M. You are also given two int[]s: event_i and event_j. Both will contain the same number of elements. Assume that for each valid k, there will be exactly one gold discovery on day k: in the cell (event_i[k], event_j[k]).

Finally, you are given two more int[]s: event_di and event_dj. Both will contain the same number of elements, and this number of elements is one fewer than the number of elements in event_i. The elements of these int[]s are the restrictions on your movement between days.

More precisely, for each k, between days k and k+1 your row coordinate can change by at most event_di[k], and your column coordinate can change by at most event_dj[k]. In other words, if you were in the cell (a, b) on day k, you can be in the cell (c, d) on day k+1 if and only if |a-c| <= event_di[k] and |b-d| <= event_dj[k].

Compute and return the maximum total profit you can get by correctly choosing the cells where you work on each day.

Definition

Class:: MiningGoldHard
Method:: GetMaximumGold
Parameters:: int, int, int[], int[], int[], int[]
Returns:: int
Method signature:: int GetMaximumGold(int N, int M, int[] event_i, int[] event_j, int[] event_di, int[] event_dj)
(be sure your method is public)

Constraints

N and M will be between 1 and 1,000,000, inclusive.
event_i will contain between 1 and 1,000 elements, inclusive.
event_j will contain the same number of elements as event_i.
The number of elements in event_di will be one fewer than the number of elements in event_i.
event_dj will contain the same number of elements as event_di.
The elements of event_i will be between 0 and N, inclusive.
The elements of event_j will be between 0 and M, inclusive.
The elements of event_di will be between 0 and N, inclusive.
The elements of event_dj will be between 0 and M, inclusive.

Examples

3

3

{1}

{1}

{}

{}

Returns: 6

Gold will be discovered today in the cell (1, 1). Your optimal strategy is to work there today.
3

3

{0, 2}

{0, 2}

{1}

{1}

Returns: 10

Gold will be discovered in the cell (0, 0) today and in the cell (2, 2) tomorrow. Note that you cannot move directly from (0, 0) to (2, 2), because both the difference in rows and the difference in columns is too great. One optimal strategy is to work in the cell (0, 0) today and in the cell (1, 1) tomorrow. Your profit today will be 6, tomorrow it will be 4, thus the total profit is 6+4 = 10.
4

2

{1, 4, 4}

{1, 2, 0}

{1, 1}

{1, 1}

Returns: 15
6

6

{0, 2, 1, 5, 6, 4}

{4, 3, 1, 6, 2, 0}

{2, 3, 1, 5, 6}

{2, 4, 0, 5, 1}

Returns: 63
3

4

{2, 3, 2, 0}

{0, 1, 4, 4}

{3, 3, 2}

{2, 1, 1}

Returns: 26
2

2

{2, 0, 0}

{2, 0, 2}

{2, 0}

{1, 0}

Returns: 10
72

90

{9, 9, 42, 64, 37, 4, 67, 65, 20, 18, 25, 45, 19, 57, 34, 29, 20, 43, 17, 46, 61, 1, 18, 53, 54, 23, 9, 69, 57, 44, 34, 50, 37, 4, 26, 1, 8, 4, 66}

{37, 47, 48, 69, 56, 22, 40, 52, 43, 46, 64, 24, 48, 54, 54, 56, 32, 77, 50, 8, 7, 90, 55, 34, 40, 89, 57, 44, 21, 59, 89, 21, 69, 46, 0, 89, 31, 3, 50}

{56, 5, 21, 5, 22, 5, 45, 4, 44, 20, 68, 63, 37, 14, 43, 31, 70, 28, 51, 38, 20, 59, 72, 66, 16, 20, 39, 72, 11, 71, 21, 51, 60, 42, 40, 10, 32, 70}

{77, 73, 42, 80, 43, 24, 81, 68, 40, 86, 1, 76, 43, 10, 43, 53, 40, 26, 18, 70, 60, 68, 29, 17, 66, 2, 87, 71, 90, 33, 11, 76, 69, 17, 65, 21, 4, 19}

Returns: 5810
76

37

{22, 73, 55, 29, 7, 48, 31, 46, 74, 63, 54, 7, 48, 40, 75, 12, 25, 10, 69, 72, 46, 21, 72, 34, 38, 17, 2, 34, 24, 49, 4, 45, 45, 59, 74, 50, 29, 28, 20, 26, 12, 72, 31, 61, 35, 27}

{6, 21, 0, 19, 29, 29, 12, 20, 21, 31, 17, 34, 29, 25, 28, 36, 29, 1, 20, 28, 6, 8, 3, 21, 34, 21, 34, 35, 30, 5, 20, 37, 4, 20, 34, 33, 28, 24, 15, 27, 18, 32, 2, 9, 36, 30}

{20, 64, 33, 2, 39, 59, 11, 40, 28, 46, 53, 69, 33, 51, 67, 48, 41, 46, 20, 15, 5, 73, 73, 10, 6, 17, 5, 53, 35, 11, 30, 55, 73, 62, 55, 35, 44, 66, 73, 71, 33, 50, 61, 67, 22}

{9, 9, 22, 24, 29, 18, 12, 17, 17, 31, 33, 12, 7, 12, 17, 35, 22, 23, 31, 3, 36, 0, 37, 18, 1, 4, 27, 0, 20, 37, 22, 29, 24, 22, 31, 32, 18, 21, 11, 36, 15, 6, 10, 22, 19}

Returns: 4898
36

24

{23, 12, 23, 21, 17, 30, 26, 36, 18, 1, 9, 2, 29, 2, 20, 36, 27, 26, 0, 3, 21, 21, 26, 8, 25, 11, 2, 31, 1, 0, 17, 3, 12, 3, 24, 29, 12, 29, 6, 8, 8, 15, 10, 0, 33, 8, 15, 1, 34, 15}

{17, 15, 18, 20, 14, 21, 23, 14, 24, 3, 14, 12, 21, 1, 18, 24, 0, 4, 8, 7, 18, 23, 22, 4, 3, 17, 0, 5, 15, 1, 16, 7, 18, 12, 4, 10, 8, 2, 24, 7, 8, 14, 19, 4, 17, 14, 5, 17, 18, 13}

{7, 35, 17, 28, 17, 17, 22, 7, 17, 18, 10, 10, 19, 9, 18, 30, 14, 29, 24, 20, 15, 12, 26, 16, 26, 23, 12, 23, 25, 32, 34, 11, 8, 29, 17, 26, 9, 2, 11, 4, 36, 21, 14, 18, 9, 11, 11, 23, 3}

{15, 13, 8, 1, 11, 1, 19, 1, 8, 18, 11, 13, 5, 22, 7, 8, 11, 20, 7, 18, 4, 5, 11, 14, 22, 24, 17, 19, 10, 0, 6, 0, 14, 14, 2, 2, 17, 23, 4, 0, 16, 15, 16, 21, 14, 23, 6, 0, 18}

Returns: 2776
91

99

{32, 66, 80, 33, 41, 28, 38, 65, 50, 33, 8, 68, 26, 85, 47, 48, 0, 42, 18, 14, 22, 37, 49, 68, 52, 25, 18, 46, 22, 41, 41, 3, 15, 29, 36, 56, 5, 22, 69, 55, 55, 26, 32, 81, 59, 27, 78, 59, 18, 44, 73, 40, 82, 71, 56, 42, 44, 75, 37, 15, 64, 78, 18, 27, 55, 2, 83, 60, 24, 9, 63, 28, 75, 3}

{69, 70, 75, 31, 13, 93, 36, 7, 1, 34, 74, 33, 24, 58, 76, 69, 85, 28, 55, 7, 3, 34, 65, 27, 34, 2, 36, 18, 42, 87, 41, 63, 9, 16, 95, 74, 61, 83, 81, 14, 17, 7, 48, 93, 66, 76, 63, 3, 5, 70, 11, 8, 5, 28, 87, 91, 30, 23, 9, 72, 62, 51, 36, 71, 19, 83, 46, 81, 18, 79, 47, 35, 87, 47}

{16, 77, 20, 51, 44, 21, 74, 87, 73, 47, 24, 77, 70, 10, 28, 36, 23, 55, 27, 79, 2, 10, 78, 64, 87, 16, 88, 35, 11, 19, 38, 27, 44, 58, 27, 88, 79, 49, 32, 9, 44, 56, 34, 22, 14, 62, 58, 37, 65, 33, 64, 68, 44, 50, 40, 79, 66, 76, 62, 25, 43, 9, 53, 87, 67, 28, 32, 3, 25, 64, 12, 69, 28}

{38, 63, 38, 40, 2, 32, 58, 67, 20, 66, 79, 39, 58, 71, 5, 71, 89, 7, 38, 82, 24, 70, 26, 0, 74, 97, 5, 78, 89, 6, 82, 79, 21, 20, 19, 75, 52, 77, 43, 73, 43, 22, 12, 54, 45, 17, 25, 35, 76, 15, 69, 0, 85, 95, 52, 11, 44, 57, 89, 33, 15, 71, 12, 37, 92, 32, 12, 44, 61, 7, 69, 57, 30}

Returns: 13099
1000000

1000000

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Returns: 1861037499
1000000

1

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Returns: 927794941
1

1000000

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Returns: 934272138
1000000

1000000

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Returns: 1921060050
1000000

1000000

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Returns: 1929179390
1000000

1000000

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500003}

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500001, 500006, 500010, 500007, 500001, 500000, 500005, 500006, 500007, 500005, 500010, 500000, 500004, 500001, 500005, 500001, 500009, 500003, 500002, 500009, 500007, 500003, 500004, 500006, 500003, 500003, 500006, 500000, 500000, 500010, 500006, 500001, 500005, 500005, 500007, 500007, 500004, 500001, 500000, 500009, 500006, 500008, 500007, 500009, 500009, 500001, 500008, 500007, 500002, 500009, 500003, 500007, 500001, 500005, 500003, 500002, 500007, 500009, 500003, 500007, 500008, 500009, 500006, 500001, 500001, 500000, 500006, 500005, 500001, 500006, 500001, 500006, 500001, 500006, 500002, 500008, 500007, 500010, 500004, 500008, 500006, 500005, 500002, 500005, 500008, 500005, 500008, 500004, 500001, 500000, 500009, 500008, 500009, 500003, 500009, 500010, 500003, 500004, 500003, 500005, 500008, 500002, 500009, 500007, 500009, 500000, 500004, 500003, 500010, 500006, 500000, 500004, 500000, 500003, 500009, 500006, 500006, 500006, 500000, 500008, 500004, 500007, 500003, 500002, 500010, 500001, 500000, 500001, 500003, 500001, 500004, 500009, 500003, 500002, 500005, 500001, 500002, 500009, 500005, 500010, 500004, 500003, 500001, 500002, 500004, 500000, 500008, 500009, 500004, 500006, 500004, 500009, 500001, 500007, 500009, 500009, 500006, 500007, 500010, 500009, 500008, 500001, 500005, 500001, 500001, 500010, 500000, 500003, 500006, 500003, 500001, 500008, 500005, 500000, 500008, 500009, 500000, 500003, 500007, 500003, 500008, 500000, 500010, 500009, 500005, 500008, 500007, 500000, 500005, 500005, 500007, 500000, 500004, 500001, 500010, 500006, 500009, 500000, 500007, 500002, 500001, 500006, 500008, 500006, 500007, 500005, 500005, 500007, 500007, 500010, 500008, 500004, 500009, 500007, 500000, 500003, 500003, 500005, 500002, 500008, 500010, 500009, 500006, 500002, 500009, 500006, 500008, 500007, 500006, 500004, 500008, 500007, 500000, 500005, 500001, 500007, 500009, 500006, 500001, 500005, 500003, 500010, 500007, 500010, 500004, 500007, 500003, 500007, 500001, 500003, 500002, 500010, 500001, 500009, 500001, 500010, 500004, 500009, 500005, 500008, 500000, 500000, 500002, 500000, 500005, 500003, 500005, 500001, 500007, 500007, 500006, 500000, 500004, 500002, 500008, 500008, 500007, 500009, 500005, 500009, 500001, 500007, 500006, 500003, 500005, 500007, 500000, 500007, 500003, 500003, 500004, 500003, 500003, 500007, 500004, 500007, 500010, 500007, 500008, 500005, 500003, 500002, 500005, 500005, 500004, 500002, 500003, 500001, 500001, 500006, 500008, 500002, 500002, 500003, 500003, 500006, 500008, 500004, 500000, 500000, 500005, 500005, 500003, 500009, 500010, 500005, 500005, 500007, 500002, 500002, 500001, 500003, 500002, 500004, 500009, 500007, 500005, 500010, 500006, 500004, 500005, 500001, 500004, 500005, 500002, 500008, 500000, 500010, 500010, 500010, 500010, 500004, 500002, 500000, 500000, 500001, 500004, 500005, 500006, 500004, 500006, 500006, 500007, 500006, 500010, 500003, 500002, 500002, 500002, 500006, 500006, 500007, 500005, 500000, 500002, 500007, 500006, 500000, 500004, 500003, 500010, 500001, 500005, 500001, 500002, 500006, 500000, 500004, 500009, 500005, 500008, 500002, 500000, 500002, 500009, 500008, 500006, 500009, 500000, 500008, 500003, 500004, 500003, 500008, 500002, 500003, 500003, 500006, 500003, 500007, 500009, 500001, 500009, 500002, 500000, 500009, 500008, 500010, 500002, 500004, 500004, 500008, 500005, 500002, 500010, 500001, 500010, 500005, 500010, 500008, 500001, 500000, 500000, 500004, 500007, 500002, 500007, 500010, 500009, 500008, 500006, 500005, 500007, 500004, 500007, 500008, 500000, 500002, 500005, 500002, 500005, 500009, 500010, 500010, 500000, 500008, 500000, 500008, 500002, 500008, 500004, 500001, 500007, 500004, 500005, 500003, 500006, 500010, 500002, 500002, 500008, 500008, 500008, 500004, 500000, 500004, 500010, 500009, 500005, 500004, 500001, 500010, 500000, 500009, 500009, 500009, 500006, 500007, 500005, 500007, 500002, 500009, 500008, 500009, 500002, 500001, 500001, 500006, 500000}

Returns: 2000000000
1000000

1000000

{726144, 348469, 97705, 594394, 648021, 897300, 19788, 593924, 945278, 763296, 663947, 895770, 986825, 822673, 66763, 308460, 977136, 364251, 416822, 957976, 351104, 23448, 93427, 102478, 563448, 178783, 59001, 680064, 725334, 601905, 499239, 969977, 950375, 596944, 564371, 116894, 12742, 584159, 229317, 958020}

{347454, 893264, 372288, 334279, 234435, 439052, 161238, 730070, 321802, 96559, 688045, 191405, 120007, 299971, 293883, 201954, 997255, 871384, 882018, 722588, 473289, 381256, 211063, 942163, 496699, 775434, 59056, 509441, 359593, 806873, 467460, 225546, 700136, 358248, 559825, 453070, 797300, 239563, 701639, 637601}

{336122, 908183, 829007, 974630, 726654, 641389, 176583, 242407, 512773, 577101, 483494, 504561, 476856, 694557, 446723, 973556, 469991, 24278, 1495, 348083, 831151, 987456, 573629, 49785, 345703, 651954, 21354, 143002, 410016, 722993, 299102, 746138, 149674, 128108, 239266, 876328, 769498, 934350, 118734}

{282270, 511450, 602228, 305330, 988306, 296785, 752053, 480360, 285275, 294830, 355, 633358, 125980, 987811, 725486, 694265, 333513, 377439, 715619, 995015, 787455, 957111, 294116, 52092, 625284, 940725, 291358, 501612, 710222, 225707, 138845, 510991, 255656, 259573, 816321, 762462, 74857, 568373, 761321}

Returns: 74206831
1000000

1000000

{131284, 129775, 330785, 214232, 782619, 824776, 27092, 952767, 139048, 163539, 193194, 451360, 508374, 879905, 257703, 59259, 366191, 34456, 925749, 376505, 693354, 553777, 504680, 357227, 961537, 888493, 804733, 186786, 163327, 98356, 967509, 294611, 228131, 816793, 27343, 10749, 641569, 54435, 963517, 780617}

{217975, 675210, 750477, 726349, 555114, 526679, 304107, 921305, 561135, 748356, 816309, 772988, 302132, 839488, 130214, 782168, 246479, 934948, 968954, 409807, 33303, 454961, 222917, 261434, 271753, 768760, 790683, 431821, 823196, 754199, 212438, 559670, 429408, 481414, 286018, 503021, 8092, 108625, 942825, 87726}

{856981, 277632, 860715, 159112, 117120, 509428, 941280, 363599, 444375, 428732, 291905, 996178, 883693, 33322, 776111, 673945, 802082, 566794, 105766, 143776, 839492, 836704, 703446, 787400, 318117, 507964, 290420, 844709, 616589, 751745, 932435, 992069, 29376, 311648, 151180, 664996, 821077, 610959, 28595}

{783951, 39690, 839000, 298628, 441882, 872322, 74738, 634326, 192903, 160031, 258591, 336679, 999524, 95294, 40125, 786923, 931911, 66588, 595842, 776619, 201676, 866086, 227553, 193744, 895463, 57700, 863424, 560458, 878777, 474382, 107552, 181227, 32571, 946553, 479855, 992953, 337373, 73092, 145777}

Returns: 73897154
1000000

1000000

{820026, 113377, 16345, 966097, 345776, 598589, 950826, 175298, 735026, 5982, 934463, 820480, 555258, 140009, 405623, 415758, 681476, 212812, 553463, 613511, 354702, 530540, 208471, 378119, 817533, 26141, 683175, 96150, 97772, 786237, 586939, 917798, 899614, 603284, 402394, 763889, 720373, 353219, 939187, 455398}

{359201, 392149, 275877, 432958, 532158, 199999, 367215, 213633, 931311, 920679, 345644, 286012, 969718, 554115, 182631, 787250, 580256, 865806, 401899, 196527, 170542, 507338, 632825, 588655, 629121, 35218, 352544, 349493, 906937, 810230, 323390, 784637, 202378, 599267, 217595, 734537, 317765, 103309, 466669, 767576}

{23987, 812313, 53587, 993705, 884928, 236218, 299454, 465183, 620524, 701353, 180210, 791066, 727190, 813035, 898220, 356311, 366752, 250763, 705804, 273688, 579493, 29194, 58324, 781871, 146960, 794419, 34906, 983226, 897729, 501576, 750801, 440215, 832388, 322887, 433920, 717315, 559106, 251873, 700998}

{179629, 471725, 881208, 489194, 198915, 212741, 905913, 555226, 579493, 675176, 779529, 371680, 254668, 327222, 948504, 555038, 474183, 261422, 108444, 975908, 159150, 128519, 726708, 117864, 960907, 49594, 70283, 196721, 127199, 322156, 897719, 825328, 793882, 297425, 833021, 511296, 510166, 738934, 66521}

Returns: 73551723
1000000

1000000

{415906, 136919, 927196, 365134, 132002, 174976, 967928, 164956, 915957, 375581, 376672, 361260, 76801, 680439, 369316, 381335, 74859, 789112, 57336, 468082, 171204, 942399, 668366, 325242, 780500, 682361, 773054, 926058, 135278, 435810, 904011, 551185, 91228, 831206, 916319, 223231, 524681, 402745, 388187, 959137}

{296825, 283359, 320397, 373626, 963798, 689713, 754961, 557156, 478825, 330797, 543737, 650029, 273195, 730602, 493771, 572195, 412962, 785324, 498252, 66740, 739633, 920762, 617925, 830862, 270466, 52742, 572592, 313646, 973988, 960779, 272782, 270812, 762637, 111678, 162938, 244933, 801392, 436398, 802089, 798716}

{767195, 345825, 967244, 558890, 76427, 461014, 131084, 7888, 764838, 147835, 593128, 504470, 68596, 729552, 335331, 857562, 782295, 907923, 171207, 274781, 387201, 962489, 64092, 668337, 74167, 227030, 913271, 394058, 663429, 715359, 192773, 949123, 579684, 678516, 508012, 174610, 658030, 157595, 182498}

{422867, 305430, 294126, 927337, 892526, 23677, 781168, 750087, 805972, 689090, 439793, 599252, 594790, 402282, 663345, 263127, 476449, 408874, 694897, 389006, 590802, 410255, 581779, 539925, 508438, 778794, 566436, 683048, 436823, 242531, 384046, 859690, 547961, 678172, 787027, 440487, 701849, 568194, 709073}

Returns: 74717956
1000000

1000000

{891754, 895842, 981069, 147540, 567405, 988079, 950661, 393366, 901163, 945430, 788818, 406905, 854922, 689514, 225376, 867401, 25951, 444634, 945252, 853249, 434267, 953841, 348408, 574182, 953420, 12619, 41945, 187561, 839910, 8646, 48414, 250162, 422987, 547983, 397702, 508891, 536061, 348362, 420757, 955723}

{812291, 209574, 362627, 667212, 417587, 588003, 53112, 443538, 32637, 998364, 815287, 466904, 470703, 163694, 559585, 424123, 176313, 601531, 130183, 534722, 128676, 178598, 784884, 70162, 726581, 701085, 579053, 781141, 49447, 999810, 736864, 380237, 727883, 99490, 47449, 663970, 205993, 100561, 626007, 238630}

{617424, 441293, 224033, 88127, 123486, 783618, 30749, 818299, 903648, 160932, 871520, 32323, 858030, 656403, 102485, 103109, 875988, 200038, 884251, 443934, 718347, 139613, 824171, 964730, 757603, 871620, 628699, 963596, 490680, 254705, 202225, 626604, 214498, 944758, 233230, 337984, 246875, 263979, 674783}

{150522, 943411, 546302, 701346, 801441, 721205, 322330, 423049, 597192, 522368, 825799, 41125, 240715, 965412, 865296, 723944, 723015, 255415, 352642, 686610, 264594, 607347, 407335, 891198, 340344, 352092, 124427, 678329, 598967, 906906, 871611, 267989, 368816, 417912, 969335, 170256, 657616, 291664, 111804}

Returns: 73392185
10000

10000

{6081, 2412, 2327, 4373, 3774, 7929, 8313, 2296, 5726, 5078, 677, 7269, 2194, 4645, 7023, 2703, 767, 9107, 5682, 5323, 1572, 6888, 5196, 9799, 9718, 6671, 5235, 3878, 9216, 6169, 2974, 5297, 9660, 6380, 748, 3434, 4308, 139, 6809, 1112}

{5217, 7486, 8382, 7412, 3209, 6483, 1193, 3976, 5590, 6876, 9299, 7162, 4842, 5574, 8039, 5638, 2244, 3273, 9517, 2539, 520, 2490, 7836, 180, 8870, 8584, 4693, 4256, 8723, 2580, 6448, 5018, 66, 5908, 2429, 4354, 2390, 3623, 8331, 9059}

{15, 87, 72, 74, 42, 53, 31, 76, 96, 26, 1, 12, 62, 90, 25, 50, 87, 83, 4, 85, 8, 68, 35, 20, 27, 70, 63, 51, 17, 47, 53, 44, 45, 26, 19, 87, 79, 50, 74}

{87, 87, 76, 0, 49, 77, 36, 11, 64, 19, 15, 49, 28, 95, 96, 48, 23, 66, 12, 85, 94, 70, 38, 38, 26, 64, 57, 14, 54, 19, 0, 52, 6, 87, 52, 67, 65, 99, 79}

Returns: 625097
10000

10000

{6390, 9703, 6791, 3708, 7425, 5774, 6224, 9284, 5026, 7174, 4873, 2912, 9055, 4893, 3691, 178, 4999, 7350, 8164, 6906, 3274, 7360, 4735, 4243, 215, 730, 6841, 4034, 1994, 7016, 6485, 8385, 7797, 3275, 3171, 6300, 9050, 474, 5583, 4075}

{7648, 1534, 6987, 7781, 6427, 1756, 7959, 1426, 9107, 6122, 9411, 3459, 3482, 4146, 8781, 4776, 5955, 5621, 8810, 7949, 3715, 5294, 7412, 1511, 9649, 583, 7811, 8698, 1057, 4473, 3851, 9784, 6007, 1917, 7564, 2434, 3673, 6601, 4939, 3858}

{27, 43, 73, 72, 95, 60, 20, 55, 27, 19, 45, 65, 72, 19, 91, 68, 36, 79, 66, 46, 24, 5, 55, 95, 24, 41, 19, 71, 7, 80, 10, 45, 34, 94, 29, 40, 66, 50, 96}

{94, 69, 52, 70, 52, 72, 61, 32, 8, 41, 9, 66, 76, 25, 21, 71, 60, 74, 2, 32, 82, 82, 54, 28, 27, 48, 57, 68, 14, 18, 64, 19, 98, 17, 0, 62, 0, 61, 5}

Returns: 631116
10000

10000

{4017, 842, 1853, 6164, 4549, 5897, 4521, 7467, 152, 5000, 9779, 4218, 296, 425, 9524, 7812, 5973, 4035, 5691, 3976, 947, 6391, 7948, 3741, 8420, 3157, 3510, 3146, 1266, 730, 2685, 6362, 2651, 5618, 2525, 8279, 1514, 8125, 5745, 1666}

{4203, 5523, 6963, 4500, 7027, 6486, 3390, 2999, 1599, 159, 8054, 2546, 6550, 6001, 6288, 6049, 237, 876, 9195, 2582, 2685, 2959, 22, 5336, 8577, 3626, 4693, 90, 1750, 437, 2836, 7033, 7040, 9799, 2611, 4066, 6285, 6001, 8145, 7884}

{61, 72, 15, 37, 43, 77, 98, 56, 97, 1, 93, 35, 30, 93, 99, 16, 29, 46, 28, 58, 50, 56, 28, 21, 54, 65, 72, 28, 25, 64, 17, 97, 48, 32, 46, 91, 21, 55, 59}

{19, 67, 52, 54, 98, 46, 64, 25, 86, 10, 64, 44, 61, 20, 84, 92, 86, 49, 65, 24, 85, 30, 42, 94, 78, 75, 51, 80, 97, 6, 40, 27, 74, 92, 92, 83, 49, 56, 8}

Returns: 622499
10000

10000

{6699, 8102, 3806, 2825, 9424, 4283, 4889, 3011, 2106, 5848, 9310, 9470, 6611, 6967, 5480, 4377, 9193, 3752, 7124, 9814, 8218, 8153, 9971, 9351, 9181, 2012, 498, 8829, 4718, 4586, 601, 1417, 3766, 5487, 4242, 3189, 848, 209, 7280, 2955}

{6058, 7668, 3503, 3747, 4634, 61, 8124, 4905, 4893, 6327, 4719, 3110, 4479, 5768, 3539, 3659, 7780, 4038, 3567, 3577, 9703, 5247, 4994, 3469, 733, 314, 7737, 1582, 1603, 5016, 5616, 8740, 2684, 9119, 2486, 8397, 259, 1688, 3302, 5152}

{80, 91, 82, 35, 48, 18, 83, 26, 69, 18, 62, 66, 71, 22, 0, 89, 36, 78, 5, 52, 39, 72, 40, 66, 74, 65, 60, 76, 92, 93, 28, 83, 84, 21, 19, 33, 39, 2, 70}

{19, 32, 43, 85, 14, 77, 97, 3, 14, 86, 19, 67, 25, 2, 18, 2, 76, 83, 63, 53, 87, 57, 92, 70, 52, 13, 90, 96, 64, 3, 78, 83, 36, 33, 69, 61, 21, 67, 75}

Returns: 628862
10000

10000

{5361, 4062, 5164, 3058, 3193, 3150, 1170, 750, 5850, 2239, 6187, 4148, 3016, 6538, 2025, 8568, 9744, 8745, 9506, 9506, 3470, 8727, 8488, 2071, 6615, 5204, 6802, 3601, 2945, 5338, 5714, 9386, 479, 1956, 3522, 3672, 5106, 4692, 4422, 2034}

{6932, 1688, 6182, 1026, 8226, 9286, 9594, 9048, 9109, 177, 8553, 2579, 8904, 8119, 4650, 6597, 3322, 1452, 1276, 7347, 7869, 6991, 6732, 8348, 8947, 1332, 3099, 4053, 6024, 8600, 7166, 4034, 1366, 3348, 6139, 9592, 3712, 5732, 9718, 2821}

{69, 93, 64, 58, 74, 22, 35, 7, 47, 48, 92, 26, 18, 70, 20, 18, 83, 62, 69, 54, 48, 41, 5, 61, 85, 67, 68, 22, 35, 65, 61, 5, 59, 26, 74, 44, 59, 10, 63}

{6, 69, 55, 43, 98, 25, 74, 17, 9, 37, 87, 74, 95, 28, 80, 57, 14, 47, 36, 48, 82, 2, 10, 98, 72, 47, 84, 17, 18, 5, 80, 25, 75, 46, 79, 73, 72, 54, 2}

Returns: 620104
10000

10000

{5349, 730, 9101, 3991, 5882, 2487, 6381, 5028, 1673, 9365, 6748, 5022, 4656, 7847, 6031, 4943, 8998, 4089, 300, 4150, 5422, 9999, 8349, 9596, 7633, 519, 5020, 8947, 1911, 7962, 1897, 8339, 9772, 2076, 3409, 5653, 4563, 9790, 1760, 6236}

{232, 9587, 1258, 4889, 7433, 7289, 9832, 7509, 2457, 1210, 2738, 7879, 1208, 1086, 7474, 9921, 2684, 3573, 8867, 4595, 2613, 1842, 2933, 3463, 3919, 6342, 195, 9561, 7210, 1955, 5797, 7443, 2620, 8134, 2331, 1131, 6501, 3241, 8640, 8958}

{4, 1, 7, 6, 3, 5, 7, 6, 0, 6, 0, 3, 9, 4, 7, 3, 1, 7, 3, 9, 0, 9, 6, 3, 9, 9, 5, 5, 3, 3, 5, 9, 5, 3, 6, 8, 8, 4, 6}

{0, 2, 6, 3, 1, 2, 2, 6, 5, 9, 0, 4, 0, 1, 1, 5, 0, 1, 0, 7, 6, 4, 2, 5, 0, 6, 2, 0, 6, 8, 7, 6, 0, 4, 1, 3, 8, 3, 0}

Returns: 594779
10000

10000

{7415, 1875, 5131, 675, 9387, 733, 8731, 2305, 2876, 9745, 1633, 5850, 3591, 9238, 4412, 0, 4210, 9402, 1659, 9153, 6753, 3408, 5118, 7294, 5663, 1858, 2197, 4809, 1348, 3154, 7621, 8763, 5029, 3830, 516, 5495, 4563, 9248, 7800, 8518}

{70, 511, 4367, 4741, 9749, 9859, 355, 5038, 338, 2014, 5269, 7091, 5422, 387, 4384, 1085, 3324, 0, 6973, 4673, 813, 5672, 4514, 6921, 9502, 5031, 2415, 4065, 5357, 1294, 2582, 5427, 1805, 8029, 167, 2633, 7887, 522, 7671, 8225}

{3, 2, 5, 9, 4, 0, 1, 7, 8, 8, 3, 0, 3, 7, 7, 4, 4, 0, 8, 9, 2000, 2, 5, 3, 0, 7, 7, 9, 8, 5, 8, 2, 8, 4, 1, 3, 5, 3, 2}

{5, 1, 5, 6, 6, 5, 4, 1, 9, 5, 0, 9, 8, 2, 6, 3, 4, 3, 1, 3, 3, 6, 1, 6, 5, 7, 8, 0, 4, 2, 2, 9, 5, 9, 7, 3, 4, 2, 4}

Returns: 599378
1000

1000

{66, 682, 286, 881, 852, 153, 16, 404, 997, 528, 723, 142, 990, 466, 775, 590, 857, 224, 199, 215, 716, 699, 348, 494, 288, 680, 681, 945, 770, 436, 354, 837, 809, 640, 407, 660, 484, 423, 63, 480}

{952, 476, 312, 631, 942, 86, 220, 798, 310, 109, 13, 716, 498, 51, 209, 787, 421, 580, 421, 190, 707, 775, 717, 515, 105, 124, 865, 589, 547, 928, 759, 188, 93, 761, 509, 34, 847, 419, 522, 847}

{5, 5, 2, 0, 2, 4, 5, 6, 7, 9, 5, 4, 3, 2, 9, 4, 1, 8, 7, 6, 4, 5, 5, 5, 2, 7, 5, 8, 1, 0, 6, 6, 3, 6, 3, 2, 0, 9, 6}

{8, 5, 2, 9, 9, 2, 8, 3, 3, 4, 1, 6, 8, 3, 9, 0, 6, 6, 3, 1, 7, 0, 5, 4, 0, 1, 5, 3, 2, 1, 7, 7, 6, 6, 3, 5, 8, 2, 6}

Returns: 61097
1000

1000

{966, 925, 453, 290, 429, 725, 339, 241, 369, 385, 253, 471, 202, 104, 235, 394, 940, 924, 729, 707, 162, 798, 461, 872, 386, 79, 707, 887, 572, 662, 707, 227, 587, 159, 518, 15, 885, 857, 947, 944}

{933, 199, 415, 825, 994, 340, 219, 934, 264, 948, 330, 426, 435, 791, 989, 821, 560, 695, 397, 132, 356, 104, 49, 633, 263, 257, 338, 838, 805, 285, 472, 737, 174, 887, 561, 168, 917, 470, 101, 180}

{1, 1, 2, 5, 9, 2, 0, 1, 6, 1, 2, 7, 2, 0, 3, 1, 2, 6, 0, 0, 9, 5, 5, 8, 0, 0, 0, 6, 2, 7, 8, 3, 9, 8, 5, 5, 1, 3, 6}

{5, 4, 6, 2, 4, 3, 5, 5, 6, 2, 3, 4, 9, 5, 9, 7, 2, 7, 4, 9, 9, 2, 5, 0, 8, 4, 6, 0, 2, 9, 7, 7, 0, 0, 9, 4, 4, 5, 1000}

Returns: 60550
1000

1000

{245, 877, 131, 887, 424, 644, 247, 927, 121, 89, 298, 402, 813, 633, 324, 796, 750, 743, 584, 649, 877, 316, 764, 68, 737, 810, 709, 964, 535, 394, 35, 470, 961, 166, 356, 384, 500, 293, 311, 621}

{72, 299, 713, 886, 932, 37, 681, 372, 470, 956, 20, 347, 271, 785, 415, 699, 594, 814, 662, 819, 208, 387, 288, 859, 553, 335, 243, 53, 628, 244, 364, 701, 233, 77, 276, 855, 114, 957, 226, 584}

{0, 0, 0, 0, 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, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}

Returns: 60207
1000

1000

{612, 534, 915, 85, 691, 786, 532, 213, 959, 617, 152, 621, 44, 543, 613, 80, 360, 239, 571, 131, 591, 113, 145, 931, 45, 747, 872, 585, 661, 517, 248, 963, 50, 162, 739, 741, 948, 270, 644, 596}

{887, 486, 216, 931, 28, 520, 701, 79, 759, 272, 210, 350, 385, 355, 971, 120, 793, 842, 705, 453, 358, 643, 106, 98, 806, 535, 529, 443, 805, 172, 39, 381, 349, 946, 311, 377, 465, 703, 146, 224}

{97, 35, 57, 4, 40, 23, 16, 19, 76, 56, 33, 12, 89, 13, 91, 70, 66, 44, 14, 16, 30, 87, 54, 65, 82, 54, 71, 28, 24, 86, 19, 91, 91, 46, 96, 0, 69, 82, 88}

{46, 7, 91, 27, 97, 4, 18, 36, 40, 31, 19, 56, 61, 7, 80, 96, 89, 34, 36, 87, 28, 92, 6, 19, 52, 53, 84, 52, 22, 66, 10, 38, 42, 1, 65, 39, 6, 53, 45}

Returns: 63945
100

100

{24, 80, 7, 26, 16, 89, 36, 17, 35, 68, 65, 48, 81, 96, 14, 84, 12, 48, 68, 45, 38, 49, 92, 55, 19, 23, 14, 45, 80, 24, 82, 3, 3, 89, 97, 86, 77, 32, 69, 78, 67, 33, 26, 47, 28, 40, 97, 6, 89, 65, 52, 93, 80, 9, 48, 99, 32, 62, 9, 78, 86, 91, 82, 55, 80, 44, 6, 22, 76, 75, 0, 8, 7, 93, 22, 1, 32, 85, 8, 87, 49, 26, 80, 28, 35, 94, 93, 34, 55, 2, 11, 6, 93, 59, 27, 38, 2, 33, 61, 45}

{74, 61, 19, 47, 53, 41, 48, 51, 26, 22, 4, 41, 48, 50, 36, 50, 43, 28, 50, 98, 97, 61, 70, 56, 87, 97, 94, 55, 29, 20, 66, 69, 81, 86, 15, 100, 26, 63, 17, 18, 52, 21, 26, 66, 37, 62, 15, 80, 56, 31, 43, 53, 59, 12, 75, 45, 75, 34, 100, 70, 55, 66, 38, 1, 17, 53, 1, 9, 15, 85, 28, 33, 5, 54, 100, 42, 82, 81, 88, 37, 12, 30, 56, 71, 8, 30, 82, 83, 65, 47, 52, 86, 79, 56, 87, 96, 8, 54, 5, 90}

{3, 10, 2, 0, 5, 2, 5, 0, 6, 0, 3, 8, 3, 6, 1, 0, 5, 9, 5, 8, 4, 7, 7, 2, 3, 2, 2, 3, 4, 2, 9, 8, 9, 1, 5, 4, 0, 7, 0, 7, 8, 4, 2, 8, 7, 3, 9, 2, 3, 1, 1, 8, 8, 5, 0, 8, 7, 9, 8, 8, 8, 8, 7, 7, 6, 9, 8, 3, 7, 9, 1, 5, 0, 9, 3, 7, 3, 9, 0, 3, 0, 8, 2, 5, 0, 9, 4, 4, 5, 9, 3, 3, 8, 7, 1, 1, 7, 9, 4}

{4, 5, 2, 9, 5, 2, 10, 3, 6, 9, 0, 6, 6, 5, 8, 1, 5, 4, 2, 0, 6, 2, 3, 0, 7, 0, 8, 8, 4, 4, 9, 9, 9, 2, 8, 4, 4, 8, 7, 7, 4, 4, 4, 0, 9, 9, 8, 4, 0, 8, 1, 7, 7, 1, 7, 4, 9, 2, 8, 3, 6, 5, 2, 5, 7, 8, 0, 2, 3, 4, 6, 7, 5, 0, 4, 4, 9, 9, 6, 0, 7, 7, 7, 4, 5, 2, 5, 5, 4, 0, 8, 7, 5, 8, 3, 0, 6, 9, 2}

Returns: 16079
100

100

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{9, 1, 4, 7, 6, 9, 6, 4, 7, 0, 6, 7, 5, 4, 6, 7, 6, 7, 9, 7, 1, 5, 6, 9, 6, 2, 6, 9, 0, 5, 4, 9, 6, 5, 3, 9, 5, 6, 3, 2, 3, 6, 6, 9, 7, 3, 6, 3, 0, 2, 7, 8, 4, 4, 4, 0, 3, 8, 9, 3, 3, 0, 9, 6, 5, 9, 5, 7, 6, 4, 10, 6, 7, 6, 5, 4, 5, 1, 4, 2, 0, 1, 0, 5, 6, 5, 5, 9, 3, 2, 3, 3, 2, 9, 9, 4, 9, 0, 2, 1, 5, 2, 8, 9, 5, 3, 4, 0, 1, 9, 9, 2, 7, 0, 7, 3, 2, 9, 3, 2, 1, 2, 2, 0, 2, 1, 5, 8, 9, 8, 9, 4, 7, 7, 1, 9, 0, 5, 6, 9, 1, 6, 1, 9, 6, 6, 9, 5, 6, 9, 5, 7, 9, 7, 8, 1, 9, 1, 6, 5, 9, 5, 6, 3, 2, 8, 2, 0, 4, 8, 9, 2, 4, 1, 8, 7, 4, 7, 10, 0, 7, 5, 4, 6, 2, 0, 4, 9, 1, 0, 4, 7, 6, 1, 0, 5, 9, 2, 5, 9, 7, 1, 2, 8, 0, 0, 5, 4, 4, 5, 1, 2, 0, 5, 5, 0, 5, 6, 9, 3, 6, 3, 0, 9, 1, 0, 1, 1, 9, 3, 7, 3, 5, 6, 1, 5, 3, 7, 6, 7, 0, 7, 6, 7, 0, 1, 8, 2, 8, 4, 6, 1, 4, 3, 7, 6, 4, 9, 4, 0, 2, 1, 3, 8, 4, 5, 0, 7, 10, 3, 5, 10, 1, 1, 7, 1, 0, 2, 0, 5, 6, 7, 6, 0, 0, 4, 3, 0, 3, 4, 7, 2, 2, 8, 1, 7, 4, 8, 4, 0, 2, 9, 0, 0, 8, 4, 8, 8, 3, 9, 3, 9, 3, 6, 7, 0, 0, 7, 1, 0, 2, 5, 2, 4, 4, 0, 1, 4, 5, 6, 5, 7, 2, 2, 7, 0, 4, 3, 4, 7, 2, 7, 3, 6, 0, 7, 6, 7, 4, 4, 8, 3, 10, 7, 8, 0, 8, 6, 5, 3, 9, 7, 7, 7, 0, 2, 7, 4, 5, 2, 1, 8, 7, 1, 0, 4, 9, 4, 2, 0, 8, 6, 4, 4, 4, 9, 5, 8, 2, 7, 8, 1, 5, 3, 9, 1, 5, 3, 5, 0, 3, 3, 5, 6, 1, 2, 1, 0, 6, 10, 1, 1, 6, 2, 6, 7, 1, 8, 6, 3, 2, 1, 1, 4, 4, 7, 5, 6, 1, 8, 3, 1, 8, 4, 7, 0, 7, 5, 7, 0, 5, 9, 2, 8, 1, 5, 6, 9, 0, 9, 9, 2, 1, 0, 7, 2, 8, 2, 5, 6, 7, 8, 7, 6, 0, 5, 6, 7, 7, 0, 5, 2, 0, 7, 1, 8, 9, 8, 4, 9, 4, 3, 2, 5, 0, 6, 4, 9, 5, 9, 5, 3, 5, 9, 9, 5, 4, 2, 0, 8, 3, 5, 0, 0, 9, 9, 5, 8, 3, 9, 4, 7, 9, 6, 9, 9, 9, 3, 5, 4, 0, 7, 7, 5, 7, 3, 8, 7, 6, 8, 6, 5, 10, 3, 2, 9, 2, 7, 4, 6, 3, 8, 0, 8, 1, 0, 8, 0, 4, 4, 5, 1, 8, 9, 3, 5, 3, 1, 3, 9, 6, 6, 1, 6, 9, 4, 5, 8, 8, 9, 1, 1, 4, 2, 0, 6, 3, 6, 7, 4, 7, 9, 5, 5, 8, 6, 8, 2, 7, 8, 8, 0, 4, 9, 7, 0, 1, 9, 8, 9, 5, 0, 8, 0, 10, 5, 6, 3, 8, 0, 4, 5, 9, 6, 8, 7, 2, 6, 9, 6, 4, 4, 7, 8, 0, 1, 5, 1, 0, 3, 8, 6, 1, 3, 3, 1, 5, 0, 0, 3, 0, 4, 6, 6, 1, 4, 4, 10, 0, 0, 6, 0, 5, 0, 5, 5, 2, 0, 4, 2, 4, 2, 6, 2, 2, 6, 3, 7, 6, 4, 1, 3, 8, 4, 9, 6, 8, 0, 6, 5, 7, 2, 3, 2, 3, 8, 5, 2, 9, 9, 5, 0, 9, 8, 2, 1, 4, 2, 5, 7, 6, 4, 7, 2, 8, 3, 5, 4, 4, 1, 6, 9, 1, 9, 1, 1, 8, 3, 4, 4, 0, 6, 4, 9, 0, 4, 7, 4, 7, 0, 8, 0, 4, 6, 9, 9, 10, 4, 3, 1, 3, 10, 0, 4, 5, 8, 2, 3, 9, 6, 4, 9, 2, 6, 5, 9, 0, 9, 4, 4, 9, 9, 1, 3, 5, 7, 3, 2, 9, 3, 0, 2, 3, 6, 3, 9, 5, 6, 0, 4, 9, 1, 3, 8, 7, 6, 8, 4, 5, 9, 5, 5, 8, 3, 5, 1, 1, 5, 3, 0, 9, 0, 9, 0, 7, 3, 6, 2, 5, 3, 3, 4, 4, 4, 9, 1, 10, 7, 6, 2, 6, 9, 4, 2, 2, 9, 3, 4, 5, 3, 1, 5, 4, 1, 2, 7, 1, 8, 0, 6, 1, 0, 8, 5, 1, 7, 4, 0, 1, 0, 9, 4, 6, 3, 6, 9, 3, 0, 3, 5, 0, 5, 7, 1, 3, 9, 9, 4, 7, 6, 1, 5, 6, 5, 1, 7, 3, 2, 5, 5, 9, 1, 9, 6, 5, 3, 5, 5, 0, 5, 0, 0, 7, 8, 1, 1, 4, 7, 6, 9, 3, 3, 4, 6, 9, 2, 1, 9, 4, 2, 1, 4, 4, 0, 6, 9, 0, 2, 4, 0, 7, 2, 1, 2, 7, 9, 3, 8, 7, 6, 7, 1, 6, 8, 8, 2, 8, 5, 2, 9, 8, 3, 9, 2, 0, 6, 8, 1, 5, 3, 2, 9, 1, 0, 1, 9, 0, 2, 7, 4, 8, 1, 5, 1, 7, 0, 4, 5, 2, 3, 1, 1, 3, 0, 3, 4, 4, 2, 2, 9, 2, 5, 9, 4, 1, 0, 10, 2, 3, 4, 3, 8, 2, 5, 6, 0, 2, 0, 5}

Returns: 159112
1000

1000

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Returns: 1616301
1000

1000

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Returns: 1603304
10000

10000

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Returns: 16104129
100000

100000

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Returns: 160028266
100000

100000

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Returns: 151976992
1000000

1000000

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Returns: 1502717274
1000000

1000000

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1867, 4145, 9928, 6406, 3685, 2236, 9393, 8351, 2469, 7, 3921, 8923, 9507, 891, 8831, 8978, 524, 3192, 8673, 8954, 5379, 2919, 1241, 7055, 9817, 4435, 7826, 3864, 5325, 9912, 7505, 2378, 4057, 7433, 3970, 7743, 9670, 8549, 1279, 7324, 3741, 5200, 6247, 3249, 1276, 5079, 2227, 1801, 3456, 6085, 755, 4021, 9004, 7182, 1076, 8822, 1618, 8903, 7871, 2128, 4000, 5376, 4507, 8057, 2810, 3662, 985, 7665, 7396, 7450, 4989, 1138, 7835, 6422, 9572, 9112, 6686, 6984, 913, 143, 3069, 6854, 4164, 7259, 4037, 425, 6081, 5655, 4513, 9138, 7784, 8513, 4515, 7476, 6571, 2510, 6324, 2742, 5360, 3721, 5377, 5535, 44, 3213, 1957, 9616, 2326, 8644, 6600, 8424, 3972, 4855, 5279, 8136, 2114, 9316, 3747, 3381, 157, 8260, 2519, 3126, 6774, 2220, 603, 8531, 4730, 6927, 6459, 5276, 648, 1836, 812, 692, 5050, 7954, 5493, 2561, 1784, 7279, 986, 5756, 2134, 1451, 9078, 4248, 5952, 2825, 7630, 6109, 1086, 5335, 4421, 7861, 7555, 5024, 1578, 7471, 7136, 8037, 2747, 2970, 9874, 3559, 8848, 110, 1514, 4341, 2671, 3298, 1620, 8843, 4240, 8939, 5479, 3318, 8373, 1432, 1329, 6003, 2726, 2416, 6523, 7148, 5463, 4079, 7357, 7041, 6735, 9679, 264, 9483, 2650, 138, 8228, 6683, 5433, 9742, 6210, 3290, 8226, 3015, 7318, 2467, 1955, 2797, 970, 329, 9414, 2300, 1518, 7326, 9902, 8042, 9659, 5365, 7306, 2202, 7591, 4042, 1881, 7855, 8710, 9716, 3179, 6938, 6400, 8612, 1866, 7795, 1902, 5278, 811, 4406, 2930, 2767, 7203, 3901, 8281, 1803, 6201, 4985, 9130, 1288, 8212, 8789, 1838, 5519, 992, 9430, 4746, 8059, 2471, 8642, 7775, 835, 5580, 9361, 4633, 2632, 7156, 1721, 7910, 7967, 6127, 840, 5919, 8516, 4741, 9386, 320, 6128, 4371, 9450, 7416, 2583, 3425, 4440, 3288, 4417, 9055, 3219, 2476, 6712, 1862, 5437, 7547, 7442, 4798, 7366, 5259, 1954, 9087, 3170, 5107, 399, 4010, 6211, 8916, 3937, 5597, 9236, 65, 5153, 3872, 2666, 2922, 7297, 7106, 6210, 1714, 1347, 9430, 9376, 8060, 6477, 4813, 5607, 9105, 4797, 8159, 4365}

{1937, 7246, 7535, 2229, 2831, 1546, 8440, 1747, 668, 9223, 6169, 733, 4377, 41, 8584, 7299, 7338, 876, 8695, 4238, 2224, 3311, 8800, 284, 9789, 3614, 1077, 8894, 3596, 9236, 8445, 5533, 1667, 5980, 7763, 9684, 2711, 1389, 1432, 3380, 612, 2786, 9298, 174, 8013, 3068, 7474, 5352, 9129, 1354, 4775, 1354, 4666, 3576, 6823, 4455, 2375, 3086, 8535, 5971, 7507, 6980, 6690, 9175, 8146, 4453, 8859, 857, 5842, 5476, 9422, 1640, 3448, 8721, 1815, 1461, 6974, 9289, 1998, 6104, 5829, 6774, 2643, 495, 5535, 9467, 136, 7911, 7738, 3856, 9067, 5246, 836, 5758, 4422, 8982, 5397, 8466, 5025, 6425, 9128, 4448, 8065, 2577, 8354, 9880, 9224, 5328, 4355, 1222, 1432, 184, 3182, 4076, 5865, 8718, 8728, 6001, 1814, 6467, 9857, 6067, 6899, 5879, 7010, 6506, 46, 7592, 4973, 5072, 4018, 9287, 4706, 2083, 7049, 8245, 7149, 6273, 3574, 6690, 2681, 192, 2059, 5863, 9454, 7925, 9767, 3367, 3926, 6766, 5020, 8968, 8018, 1919, 33, 5028, 8425, 80, 2621, 8583, 337, 1824, 7870, 5043, 9093, 4920, 3289, 6243, 6378, 2049, 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8032, 1510, 2236, 6868, 6348, 3905, 9109, 8869, 4043, 2983, 1563, 8957, 9560, 4651, 849, 5699, 8491, 9869, 9598, 8386, 9246, 7684, 4898, 7690, 1736, 8792, 5116, 7955, 1045, 9314, 6548, 9078, 6010, 3970, 1131, 2358, 3060, 240, 1228, 7103, 8409, 7976, 1246, 3155, 2627, 2095, 8854, 6304, 7150, 3638, 4691, 1581, 1322, 4774, 9271, 8244, 8752, 9573, 6199, 9797, 4072, 2748, 4060, 82, 1903, 5191, 7626, 4963, 617, 8855, 7251, 9026, 2016, 3682, 7367, 9829, 963, 6222, 6134, 8113, 5045, 6010, 4880, 1552, 785, 9337, 9796, 9537, 8910, 5996, 4519, 8168, 3929, 8579, 8251, 5833, 3771, 5878, 5981, 4388, 9918, 8418, 8600, 1935, 2101, 5968, 6949, 3065, 7375, 3083, 6363, 2420, 4278, 1244, 9157, 5064, 5766, 4139, 9786, 9861, 5321, 4306, 8030, 9251, 2886, 6282, 269, 6657, 7345, 1436, 6231, 7264, 9854, 4832, 4384, 7141, 800, 1333, 5391, 8175, 9602, 1755, 5780, 3880, 8184, 123, 4130, 3950, 4263, 3916, 3812, 9585, 8222, 1843, 4021, 6294, 3310, 9475, 8136, 656, 6096, 4367, 3105, 5951, 4385, 7490, 8277, 5185, 4008, 3669, 8545, 3610, 609, 4326, 2676, 8793, 9635, 6807, 7929, 3899, 723, 6926, 8669, 4131, 8769, 2690, 5610, 7264, 7351, 3747, 7920, 3448, 3300, 1026, 4585, 7685, 3701, 2862, 8055, 7710, 1717, 6601, 6506, 2326, 6113, 9183, 6305, 5749, 5990, 4234, 4833, 6713, 6345, 3503, 6030, 300, 1379, 1641, 7564, 8730, 5389, 670, 2179, 3874, 1697, 6764, 1560, 5398, 4812, 4801, 8293, 6529, 6587, 4799, 4041, 2701, 3982, 346, 3636, 9972, 9766, 8469, 1871, 6111, 1973, 7902, 6411, 3352, 9543, 3976, 2083, 117, 4647, 9448, 3992, 1529, 6212, 737, 2112, 1024, 723, 406, 2739, 7311, 391, 6780, 13, 4374, 7127, 8834, 9531, 6893, 7304, 1403, 8190, 4462, 4491, 4602, 7815, 4035, 8579, 5083, 9338, 8411, 9717, 8515, 9940, 5929, 4438, 7238, 2139, 5161, 7644, 63, 2473, 3220, 6844, 7671, 7594, 9157, 6505, 2311, 1236, 3810, 3715, 9426, 3457, 8206, 4029, 6458, 7427, 7793, 1542, 1950, 1390, 6444, 466, 1330, 7558, 4904, 3754, 9698, 66, 1398, 4947, 2539, 9804, 1791, 5396, 7399, 6133, 1902, 4896, 7370, 897, 8612, 1981, 4355, 2004, 1196, 813, 4616, 8989, 7540, 6566, 379, 3985, 7032, 6895, 1543, 7121, 649, 6427, 7188, 7233, 1374, 4912, 2222, 8350, 308, 4807, 9669, 7395, 9704, 7039, 8293, 3501, 4206, 7833, 5505, 5402, 3832, 5306, 4392, 1373, 7058, 9956, 543, 9275, 2036, 7272, 6397, 7871, 3699, 8770, 289, 258, 8868, 2512, 3793, 9177, 7320, 3463, 1758, 7024, 5688, 51, 525, 9894, 3070, 1215, 482, 6902, 1707, 59, 3460, 8765, 16, 4004, 8041, 7238, 1276, 9624, 5109, 160, 8395, 584, 5603, 7263, 3096, 4582, 1625, 5601, 8046, 3384, 7811, 8920, 8620, 8336, 3999, 6876, 4737, 4482, 3778, 6445, 4541, 7239, 395, 9742, 6428, 3622, 2165, 2890, 3246, 7275, 8235, 1641, 3044, 3839, 4090, 1326, 8422, 901, 6928, 1654, 9470, 4739, 5759, 3276, 8261, 4943, 152, 8183, 4611, 3931, 9813, 9152, 6355, 209, 4080, 2784, 3832, 6246, 859, 7078, 8707, 9095, 3905, 1751, 2935, 3181, 8263, 6542, 4082, 5191, 3381, 3553, 5115, 4325, 6830, 8561, 9269, 2167, 6745, 3880, 1283, 1744, 8218, 7639, 1954, 2299, 5608, 5786, 3731, 6468, 8049, 2438, 5563, 7140, 9375, 3683, 321, 7638, 5411, 9589, 8014, 8793, 8328, 8315, 3118, 343, 2062, 7573, 2510, 3993, 1454, 3794, 5737, 9673, 6618, 7691, 7158, 2227, 8662, 889, 3880, 1897, 8513, 4629, 9037, 7888, 3498, 4544, 712, 8909, 9319, 3912, 2887, 7647, 2227, 1191, 7990, 4290, 8765, 5686, 8283, 5404, 9480, 4021, 5077, 6099, 6897, 7421, 3511, 745, 3495, 2577, 2642, 2008, 2392, 6865, 5082, 5890, 1409, 5794, 4800, 728, 9706, 2872, 3560, 7119, 4064, 1551, 6595, 8014, 7237, 4879, 3418, 1902, 4085, 3681, 3186, 6168, 1102, 1883, 6913, 4598, 4461, 9555, 1792, 6853, 6421, 6874, 2743, 3016, 7854, 2728, 8929, 2745, 786, 7675, 9865, 4850, 4412, 6461, 2865, 6834, 6525, 1469, 8737, 5795, 5150, 1924, 1963, 1438, 8992, 8876, 1222, 3454, 3617, 8199, 5492, 5223, 5073, 3421, 3424, 2927, 6150, 7539, 858, 6936, 5215, 724, 6972, 9628, 2370, 5022, 6462, 4080, 6491, 5199, 9875, 6827, 2308, 7024, 3451, 6486, 1086, 9858}

Returns: 1510564317
1000000

1000000

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Returns: 1600376840
1000000

1000000

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{61, 58, 37, 30, 74, 90, 46, 82, 39, 8, 18, 4, 71, 68, 14, 81, 55, 37, 54, 42, 86, 20, 3, 65, 53, 65, 30, 21, 1, 12, 68, 62, 23, 57, 44, 97, 48, 91, 32, 39, 0, 50, 95, 23, 19, 9, 5, 27, 99, 11, 69, 85, 32, 72, 51, 37, 90, 34, 59, 43, 98, 80, 57, 21, 37, 2, 71, 37, 94, 3, 77, 46, 5, 73, 21, 77, 35, 78, 4, 34, 42, 73, 71, 74, 98, 75, 64, 88, 9, 24, 31, 60, 56, 41, 82, 93, 44, 5, 31, 90, 8, 60, 88, 66, 34, 10, 43, 20, 89, 47, 6, 32, 73, 78, 58, 71, 54, 23, 12, 16, 99, 95, 76, 55, 37, 10, 1, 81, 15, 32, 24, 76, 93, 13, 42, 79, 75, 37, 52, 65, 37, 58, 49, 11, 89, 59, 34, 44, 35, 47, 12, 34, 43, 88, 41, 32, 50, 42, 66, 18, 27, 90, 95, 72, 3, 89, 51, 79, 27, 55, 96, 17, 14, 97, 80, 55, 57, 15, 51, 44, 14, 63, 30, 8, 4, 72, 41, 55, 66, 7, 73, 93, 97, 20, 65, 53, 10, 69, 32, 89, 24, 80, 6, 90, 77, 38, 98, 86, 53, 49, 30, 67, 13, 61, 28, 17, 85, 69, 24, 51, 29, 50, 97, 26, 22, 14, 31, 33, 35, 15, 74, 60, 95, 33, 2, 25, 71, 0, 63, 77, 50, 94, 97, 16, 7, 25, 85, 44, 47, 62, 47, 76, 12, 45, 55, 87, 59, 87, 72, 95, 54, 46, 7, 50, 31, 62, 27, 55, 14, 90, 33, 17, 37, 30, 85, 44, 7, 71, 40, 55, 34, 88, 32, 98, 33, 39, 86, 45, 78, 58, 92, 32, 57, 52, 83, 41, 14, 62, 96, 81, 53, 29, 50, 90, 12, 36, 86, 19, 7, 27, 75, 93, 15, 59, 44, 1, 50, 82, 46, 29, 40, 91, 61, 49, 43, 96, 90, 10, 59, 87, 43, 12, 68, 93, 54, 80, 29, 40, 52, 37, 19, 80, 82, 35, 91, 26, 89, 42, 8, 88, 71, 1, 79, 85, 50, 23, 82, 93, 85, 41, 32, 28, 5, 1, 22, 59, 34, 51, 52, 86, 41, 72, 18, 23, 60, 10, 50, 49, 52, 59, 37, 76, 13, 68, 61, 63, 92, 43, 8, 30, 36, 41, 58, 93, 42, 81, 53, 28, 85, 57, 15, 26, 82, 85, 50, 42, 96, 52, 43, 0, 64, 32, 76, 77, 1, 89, 41, 46, 84, 50, 76, 21, 91, 87, 14, 85, 68, 19, 14, 5, 29, 81, 31, 11, 67, 81, 5, 15, 86, 49, 16, 51, 33, 45, 29, 35, 35, 22, 33, 20, 73, 9, 93, 16, 97, 59, 54, 17, 79, 20, 22, 9, 2, 5, 20, 21, 39, 78, 36, 25, 27, 52, 77, 60, 97, 6, 48, 84, 28, 81, 4, 53, 43, 49, 22, 92, 9, 76, 61, 89, 97, 84, 50, 51, 41, 22, 72, 81, 0, 60, 7, 79, 13, 84, 92, 63, 42, 40, 48, 70, 74, 5, 76, 18, 54, 98, 11, 16, 27, 72, 5, 25, 9, 7, 28, 51, 82, 52, 84, 82, 13, 91, 14, 79, 27, 7, 42, 69, 47, 43, 39, 22, 0, 67, 92, 6, 66, 55, 23, 94, 80, 80, 70, 41, 40, 99, 92, 22, 4, 76, 57, 17, 19, 71, 97, 46, 78, 92, 15, 78, 87, 7, 1, 39, 75, 45, 97, 93, 1, 72, 87, 82, 53, 10, 24, 93, 61, 68, 68, 65, 97, 25, 83, 17, 96, 32, 15, 75, 76, 31, 53, 15, 90, 6, 6, 66, 52, 4, 59, 54, 77, 99, 89, 82, 9, 13, 28, 71, 34, 96, 89, 31, 22, 24, 0, 19, 57, 15, 46, 85, 99, 52, 53, 89, 59, 59, 7, 63, 16, 19, 70, 45, 70, 59, 28, 80, 25, 56, 4, 59, 5, 93, 42, 27, 69, 94, 98, 27, 10, 96, 64, 61, 49, 70, 51, 8, 29, 11, 72, 97, 30, 94, 43, 1, 54, 23, 34, 31, 79, 90, 43, 37, 35, 37, 17, 5, 32, 15, 84, 95, 12, 1, 57, 61, 71, 61, 22, 53, 72, 46, 51, 55, 41, 94, 9, 47, 17, 95, 79, 49, 85, 74, 86, 73, 12, 3, 79, 45, 71, 15, 41, 35, 16, 50, 97, 88, 12, 71, 41, 84, 69, 92, 92, 11, 38, 1, 10, 7, 96, 41, 56, 34, 16, 95, 8, 29, 51, 87, 27, 22, 54, 20, 10, 71, 70, 8, 59, 34, 31, 52, 71, 1, 96, 63, 64, 87, 65, 75, 94, 62, 69, 3, 96, 85, 98, 56, 67, 1, 43, 46, 24, 98, 18, 34, 21, 88, 94, 32, 75, 78, 36, 47, 80, 33, 10, 97, 20, 75, 24, 67, 89, 93, 70, 38, 79, 69, 94, 98, 71, 90, 96, 47, 40, 14, 33, 61, 3, 80, 45, 30, 58, 82, 77, 90, 16, 88, 39, 88, 16, 64, 56, 6, 57, 26, 96, 88, 48, 91, 38, 71, 33, 35, 70, 73, 49, 4, 86, 4, 36, 32, 35, 46, 15, 13, 89, 83, 2, 28, 24, 18, 93, 32, 76, 2, 59, 73, 42, 59, 16, 81, 30, 49, 17, 52, 75, 66, 56, 61, 71, 44, 46, 7, 91, 13, 73, 80, 97, 75, 61, 73, 46, 6, 5, 74, 8, 16, 0, 3, 75, 16, 85, 58, 66, 2, 11, 93, 20, 19, 55, 44, 16, 53, 3, 7, 67, 76, 40, 16, 4, 53, 89, 50, 59, 47, 77, 20, 63, 77, 23, 91, 94, 9, 49, 12, 63, 12, 6, 35, 84, 13, 80, 0, 67, 83, 60, 86, 60, 52, 3, 65, 6, 44, 67, 17, 91, 96, 38, 55, 74, 14, 98, 20, 74, 0, 84, 89, 13, 43, 25, 49, 56, 5, 2, 76, 41, 63, 63, 54, 15, 18, 71, 73, 62, 90, 91, 5, 87, 81, 12, 61, 96, 11, 34, 70, 12, 19, 60, 77, 62}

Returns: 1494598600
1000000

1000000

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{0, 1, 1, 6, 4, 3, 9, 9, 6, 3, 6, 4, 3, 3, 4, 6, 9, 0, 2, 0, 2, 3, 5, 7, 9, 9, 3, 0, 3, 5, 7, 8, 6, 4, 0, 6, 8, 0, 1, 4, 9, 7, 4, 2, 0, 9, 4, 0, 5, 2, 6, 8, 6, 1, 0, 0, 0, 4, 6, 3, 5, 3, 7, 7, 8, 8, 3000, 6, 4, 4, 7, 3, 1, 1, 1, 7, 6, 6, 3, 2, 4, 9, 6, 5, 5, 7, 6, 1, 7, 2, 5, 2, 6, 8, 9, 4, 6, 2, 7, 0, 2, 4, 4, 9, 5, 5, 7, 8, 7, 0, 1, 7, 9, 7, 2, 9, 0, 9, 1, 7, 6, 1, 9, 2, 0, 9, 3, 6, 7, 5, 2, 0, 9, 2, 9, 0, 8, 6, 8, 0, 1, 4, 7, 6, 7, 5, 6, 7, 9, 7, 5, 6, 9, 0, 4, 9, 5, 2, 1, 2, 8, 4, 7, 7, 6, 2, 2, 9, 4, 1, 5, 6, 6, 8, 2, 3, 4, 9, 1, 3, 2, 2, 0, 1, 8, 0, 6, 3, 2, 8, 1, 0, 7, 4, 3, 9, 6, 6, 9, 1, 7, 0, 7, 9, 8, 0, 2, 2, 5, 9, 1, 7, 7, 7, 4, 5, 7, 1, 3, 0, 5, 0, 1, 3, 4, 0, 2, 1, 6, 7, 2, 4, 2, 5, 8, 0, 1, 7, 8, 6, 2, 0, 9, 9, 8, 4, 0, 5, 1, 9, 6, 6, 9, 3, 4, 4, 30000, 2, 0, 5, 4, 3, 5, 6, 4, 4, 7, 5, 1, 1, 7, 3, 2, 7, 8, 6, 6, 3, 2, 7, 3, 3, 9, 8, 2, 3, 2, 1, 1, 8, 6, 5, 7, 1, 2, 1, 5, 6, 7, 1, 7, 5, 0, 0, 7, 8, 1, 9, 7, 4, 2, 1, 3, 2, 9, 0, 1, 7, 1, 2, 6, 7, 8, 3, 4, 1, 5, 5, 2, 7, 7, 0, 8, 3, 6, 1, 1, 8, 0, 9, 7, 3, 5, 0, 1, 0, 1, 2, 7, 8, 5, 8, 1, 9, 7, 6, 6, 7, 6, 8, 0, 9, 4, 8, 2, 1, 9, 4, 5, 0, 8, 3, 9, 9, 9, 1, 9, 6, 8, 2, 4, 4, 0, 0, 8, 3, 1, 4, 1, 8, 3, 1, 8, 8, 5, 0, 5, 5, 0, 0, 1, 3, 4, 6, 3, 8, 7, 2, 4, 1, 4, 4, 5, 0, 4, 4, 9, 6, 4, 0, 0, 8, 7, 3, 1, 2, 9, 7, 3, 4, 3, 0, 8, 2, 6, 7, 1, 9, 4, 1, 0, 4, 5, 2, 4, 5, 1, 3, 7, 6, 9, 8, 9, 6, 7, 1, 4, 6, 4, 8, 1, 2, 8, 0, 5, 0, 2, 2, 9, 7, 3, 0, 1, 9, 7, 1, 0, 9, 5, 7, 5, 9, 1, 5, 1, 8, 2, 5, 4, 1, 9, 6, 4, 2, 1, 9, 3, 9, 1, 8, 6, 5, 4, 8, 0, 2, 9, 6, 1, 9, 4, 7, 4, 0, 8, 5, 8, 0, 6, 8, 2, 5, 9, 1, 3, 1, 1, 1, 6, 8, 0, 2, 9, 4, 6, 5, 1, 5, 1, 3, 0, 5, 5, 5, 5, 9, 0, 9, 5, 2, 7, 2, 8, 7, 4, 6, 4, 0, 8, 0, 9, 3, 3, 8, 3, 9, 3, 4, 9, 5, 2, 5, 5, 3, 0, 6, 3, 6, 5, 8, 9, 8, 1, 2, 5, 5, 9, 9, 1, 3, 0, 0, 2, 8, 4, 5, 2, 3, 4, 2, 3, 7, 8, 9, 1, 4, 1, 4, 1, 2, 8, 5, 1, 4, 8, 6, 5, 2, 6, 7, 0, 2, 8, 2, 0, 2, 3, 8, 6, 7, 1, 5, 0, 5, 4, 1, 9, 1, 0, 6, 3, 4, 1, 4, 9, 5, 6, 5, 7, 8, 2, 3, 0, 6, 6, 6, 4, 5, 5, 5, 2, 2, 0, 3, 7, 0, 9, 2, 1, 6, 8, 5, 5, 5, 4, 5, 1, 1, 5, 4, 0, 8, 7, 6, 4, 9, 8, 3, 4, 4, 8, 7, 1, 9, 6, 9, 9, 1, 7, 0, 2, 1, 1, 8, 7, 1, 3, 4, 3, 3, 8, 8, 2, 1, 0, 1, 0, 9, 5, 5, 8, 4, 8, 0, 8, 9, 5, 8, 0, 3, 4, 3, 0, 5, 6, 3, 7, 4, 7, 5, 8, 1, 9, 0, 7, 0, 7, 8, 4, 7, 8, 3, 7, 7, 9, 5, 6, 5, 9, 2, 3, 4, 0, 9, 5, 7, 3, 7, 1, 6, 3, 9, 2, 7, 5, 9, 8, 7, 3, 8, 0, 2, 6, 7, 4, 6, 8, 1, 6, 3, 9, 0, 7, 0, 0, 2, 7, 8, 0, 4, 4, 9, 9, 7, 6, 4, 2, 0, 7, 5, 3, 8, 8, 0, 1, 8, 6, 0, 5, 3, 3, 4, 8, 6, 0, 4, 4, 2, 7, 0, 7, 2, 9, 6, 4, 1, 6, 7, 7, 4, 8, 1, 8, 6, 1, 9, 9, 3, 5, 4, 6, 4, 9, 0, 1, 9, 0, 5, 1, 8, 1, 4, 6, 1, 0, 1, 8, 2, 3, 6, 7, 1, 7, 0, 3, 3, 0, 2, 7, 5, 7, 9, 0, 1, 0, 6, 0, 5, 7, 8, 4, 9, 2, 0, 6, 8, 6, 4, 0, 0, 0, 2, 1, 2, 3, 5, 6, 9, 7, 4, 5, 0, 8, 0, 2, 9, 6, 8, 0, 4, 6, 4, 3, 3, 9, 9, 7, 6, 9, 2, 6, 5, 5, 8, 8, 4, 9, 0, 4, 2, 9, 4, 2, 8, 5, 9, 3, 7, 8, 3, 1, 9, 7, 0, 8, 2, 5, 5, 9, 5, 8, 6, 0, 9, 0, 4, 9, 4, 4, 3, 6, 4, 3, 4, 3, 8, 9, 6, 5, 700, 4, 2, 2, 2, 2, 0, 0, 8, 2, 0, 8, 0, 1, 9, 5, 2, 3, 5, 2}

Returns: 1507868889
123

101

{52, 23, 36, 13, 48, 30, 99, 40, 54, 98, 65, 3, 73, 18, 83, 61, 69, 74, 21, 17, 26, 76, 20, 44, 12, 61, 31, 40, 29, 78, 34, 48, 67, 71, 61, 81, 67, 25, 21, 20, 89, 52, 91, 62, 37, 73, 22, 72, 12, 9, 89, 39, 52, 75, 83, 64, 35, 80, 3, 31, 23, 3, 79, 90, 74, 39, 37, 40, 31, 24, 27, 19, 76, 17, 81, 12, 56, 69, 84, 68, 45, 39, 6, 97, 13, 56, 123, 49, 35, 29, 80, 59, 32, 24, 14, 6, 29, 51, 12, 60}

{75, 39, 80, 51, 56, 26, 29, 11, 62, 13, 80, 6, 18, 52, 2, 31, 7, 62, 46, 9, 57, 25, 34, 89, 15, 48, 61, 45, 66, 74, 4, 40, 12, 50, 57, 35, 43, 87, 46, 4, 66, 92, 10, 84, 10, 12, 14, 84, 40, 27, 93, 97, 52, 26, 51, 68, 41, 12, 79, 6, 52, 83, 12, 30, 100, 70, 65, 42, 22, 78, 46, 88, 69, 22, 37, 45, 34, 17, 29, 40, 44, 21, 2, 63, 14, 53, 97, 55, 31, 75, 27, 49, 23, 39, 0, 89, 75, 44, 30, 97}

{21, 42, 50, 57, 30, 87, 1, 30, 71, 97, 70, 14, 18, 72, 43, 99, 92, 39, 19, 89, 80, 46, 38, 3, 51, 17, 92, 26, 27, 89, 89, 15, 97, 39, 72, 27, 92, 39, 57, 28, 36, 27, 9, 20, 65, 52, 18, 22, 92, 3, 11, 37, 15, 49, 6, 66, 32, 99, 58, 25, 53, 47, 40, 49, 52, 11, 76, 9, 17, 100, 38, 19, 26, 47, 39, 57, 99, 23, 80, 56, 26, 91, 94, 41, 5, 100, 73, 3, 64, 31, 28, 16, 44, 69, 32, 96, 46, 74, 4}

{29, 73, 42, 48, 65, 55, 53, 22, 54, 76, 68, 9, 68, 24, 69, 75, 29, 35, 48, 99, 99, 45, 26, 82, 89, 61, 80, 50, 74, 53, 20, 2, 26, 63, 51, 91, 84, 3, 79, 37, 46, 46, 13, 13, 70, 48, 89, 65, 83, 2, 63, 48, 13, 56, 29, 1, 83, 8, 17, 56, 27, 37, 59, 53, 66, 76, 10, 50, 45, 55, 53, 91, 1, 66, 71, 37, 81, 25, 2, 63, 27, 31, 77, 6, 87, 72, 74, 70, 46, 91, 92, 74, 94, 16, 93, 60, 92, 2, 76}

Returns: 21048
102

103

{72, 75, 97, 3, 0, 77, 7, 7, 27, 19, 65, 33, 20, 76, 32, 53, 54, 98, 66, 100, 55, 81, 69, 28, 69, 66, 62, 26, 53, 2, 24, 24, 43, 20, 28, 43, 98, 35, 51, 91, 20, 82, 23, 7, 57, 22, 26, 77, 19, 58, 42, 40, 39, 77, 34, 7, 42, 62, 100, 95, 30, 23, 86, 74, 10, 80, 83, 74, 81, 100, 64, 68, 48, 88, 75, 4, 9, 0, 48, 95, 58, 90, 34, 97, 67, 34, 71, 75, 97, 36, 36, 26, 60, 88, 66, 36, 33, 49, 9, 13}

{14, 73, 47, 62, 26, 21, 33, 1, 21, 81, 96, 80, 70, 96, 42, 2, 30, 12, 44, 93, 49, 80, 18, 75, 67, 51, 77, 100, 66, 86, 79, 80, 24, 26, 42, 51, 47, 41, 18, 35, 21, 81, 14, 57, 76, 22, 26, 72, 35, 70, 64, 50, 49, 83, 91, 82, 100, 67, 81, 65, 52, 25, 44, 42, 17, 52, 59, 65, 93, 78, 66, 80, 58, 46, 37, 100, 68, 29, 72, 69, 99, 35, 18, 13, 84, 75, 95, 83, 41, 41, 47, 59, 32, 58, 1, 50, 9, 60, 81, 69}

{3, 46, 48, 61, 92, 51, 27, 59, 80, 99, 28, 44, 100, 12, 57, 84, 54, 17, 32, 95, 24, 46, 54, 57, 3, 21, 6, 79, 47, 87, 47, 51, 99, 62, 78, 90, 12, 4, 14, 59, 69, 8, 2, 69, 88, 26, 18, 41, 43, 50, 35, 68, 62, 55, 24, 65, 76, 97, 10, 23, 49, 57, 40, 47, 18, 17, 36, 98, 89, 16, 56, 57, 25, 58, 25, 12, 84, 43, 53, 102, 60, 54, 27, 21, 9, 51, 53, 51, 13, 63, 40, 62, 86, 80, 8, 4, 64, 10, 1}

{18, 26, 23, 75, 51, 81, 67, 29, 31, 76, 48, 91, 35, 69, 17, 23, 78, 68, 42, 95, 81, 71, 1, 8, 56, 47, 16, 26, 10, 26, 27, 95, 52, 16, 70, 70, 98, 36, 65, 95, 11, 80, 85, 13, 48, 1, 2, 92, 35, 10, 86, 82, 81, 53, 90, 36, 0, 5, 63, 77, 98, 56, 72, 15, 73, 41, 85, 36, 43, 16, 30, 20, 96, 81, 103, 43, 82, 1, 34, 16, 11, 86, 98, 92, 39, 87, 95, 39, 58, 23, 82, 55, 45, 53, 70, 84, 94, 21, 19}

Returns: 19402
10

10

{4, 9, 8, 8, 9, 8, 6, 1, 6, 3, 9, 9, 5, 5, 1, 9, 7, 8, 7, 3, 7, 9, 5, 5, 5, 2, 0, 1, 3, 5, 7, 5, 1, 2, 2, 10, 10, 6, 9, 3, 7, 7, 10, 10, 10, 1, 9, 6, 9, 5, 8, 3, 3, 2, 6, 8, 2, 6, 8, 6, 9, 2, 0, 8, 4, 1, 7, 1, 7, 4, 3, 4, 9, 2, 3, 9, 3, 1, 2, 10, 4, 10, 2, 8, 2, 8, 3, 4, 1, 0, 8, 8, 0, 7, 5, 4, 8, 0, 4, 2}

{2, 7, 6, 0, 9, 8, 9, 0, 7, 10, 10, 1, 9, 0, 7, 0, 8, 8, 3, 8, 9, 9, 3, 7, 5, 7, 1, 0, 7, 3, 3, 9, 10, 7, 7, 6, 4, 6, 6, 10, 3, 6, 9, 1, 6, 5, 0, 1, 2, 3, 7, 9, 1, 0, 6, 5, 5, 5, 5, 1, 8, 6, 8, 5, 3, 4, 0, 5, 8, 5, 2, 0, 0, 0, 2, 4, 5, 2, 3, 6, 3, 0, 2, 2, 9, 6, 7, 3, 0, 0, 2, 6, 6, 10, 0, 9, 1, 10, 2, 10}

{2, 4, 10, 0, 5, 10, 4, 8, 1, 5, 1, 2, 5, 4, 5, 1, 10, 10, 2, 9, 10, 2, 4, 6, 1, 3, 2, 1, 0, 2, 0, 2, 7, 8, 2, 10, 8, 4, 5, 7, 9, 7, 10, 2, 0, 2, 1, 8, 1, 4, 6, 1, 6, 9, 5, 6, 10, 5, 5, 10, 8, 5, 10, 2, 2, 1, 1, 8, 3, 6, 5, 10, 0, 2, 1, 9, 4, 3, 7, 5, 5, 0, 4, 9, 7, 9, 2, 6, 2, 7, 5, 10, 10, 4, 1, 2, 3, 0, 10}

{6, 4, 2, 6, 5, 4, 5, 3, 8, 6, 8, 1, 0, 9, 5, 8, 5, 2, 10, 10, 4, 5, 4, 1, 4, 7, 0, 4, 10, 9, 2, 4, 2, 4, 8, 7, 9, 0, 9, 4, 7, 6, 3, 7, 2, 9, 2, 6, 9, 2, 5, 0, 5, 7, 10, 9, 3, 10, 3, 1, 8, 5, 5, 8, 9, 0, 5, 5, 0, 1, 8, 7, 7, 0, 2, 8, 7, 4, 1, 5, 4, 6, 3, 9, 2, 2, 6, 4, 10, 9, 5, 5, 3, 10, 3, 10, 8, 8, 3}

Returns: 1834
23

31

{3, 1, 3, 9, 10, 2, 4, 4, 3, 9, 5, 1, 9, 2, 0, 6, 6, 2, 10, 10, 8, 4, 4, 5, 10, 0, 7, 2, 8, 6, 4, 0, 8, 5, 9, 5, 7, 0, 8, 9, 10, 2, 10, 8, 2, 10, 1, 8, 10, 0, 6, 8, 2, 8, 0, 10, 7, 7, 2, 4, 3, 4, 2, 9, 10, 0, 3, 6, 9, 0, 20, 8, 0, 2, 4, 0, 1, 3, 7, 10, 4, 0, 7, 4, 6, 7, 4, 2, 3, 4, 4, 4, 6, 6, 2, 5, 4, 6, 10, 3}

{4, 1, 9, 3, 3, 2, 3, 3, 6, 10, 2, 8, 10, 7, 10, 6, 3, 1, 6, 6, 3, 0, 9, 10, 4, 0, 4, 7, 4, 1, 10, 7, 3, 8, 10, 4, 9, 2, 5, 2, 2, 5, 10, 10, 1, 7, 3, 4, 9, 10, 9, 1, 8, 7, 0, 10, 5, 3, 6, 10, 4, 5, 6, 5, 1, 5, 8, 8, 5, 0, 30, 5, 4, 7, 5, 5, 3, 6, 8, 10, 3, 4, 1, 0, 9, 10, 0, 3, 2, 4, 0, 5, 8, 4, 8, 9, 7, 3, 4, 2}

{4, 3, 5, 8, 8, 10, 0, 0, 4, 6, 0, 7, 10, 10, 8, 8, 9, 6, 10, 10, 10, 8, 2, 5, 2, 8, 3, 7, 1, 5, 7, 3, 8, 2, 9, 5, 10, 7, 4, 3, 3, 2, 0, 0, 1, 6, 7, 8, 10, 6, 7, 7, 1, 7, 2, 3, 5, 3, 9, 4, 9, 5, 7, 6, 7, 3, 10, 5, 10, 1, 8, 0, 3, 8, 1, 4, 1, 8, 1, 0, 1, 7, 8, 2, 3, 10, 4, 8, 2, 2, 1, 0, 7, 6, 5, 2, 9, 2, 7}

{7, 3, 2, 7, 6, 9, 8, 8, 10, 5, 9, 0, 4, 3, 6, 7, 7, 5, 0, 4, 5, 2, 4, 4, 7, 10, 7, 7, 9, 9, 1, 5, 10, 4, 1, 3, 2, 8, 0, 1, 0, 7, 10, 5, 0, 5, 10, 5, 8, 10, 9, 3, 10, 0, 7, 4, 0, 1, 1, 7, 8, 2, 10, 7, 4, 0, 10, 6, 6, 8, 6, 7, 2, 5, 10, 0, 0, 9, 5, 8, 6, 2, 9, 3, 2, 3, 5, 2, 4, 6, 7, 1, 7, 6, 6, 9, 5, 5, 5}

Returns: 5187
17

11

{2, 3, 5, 0, 1, 1, 3, 2, 8, 10, 10, 9, 2, 4, 0, 4, 4, 0, 5, 1, 1, 2, 0, 1, 10, 2, 10, 6, 0, 3, 6, 1, 4, 0, 10, 4, 0, 2, 6, 6, 2, 5, 4, 4, 9, 5, 7, 1, 5, 1, 2, 4, 4, 0, 5, 1, 0, 4, 6, 10, 5, 10, 0, 9, 10, 10, 12, 8, 1, 8, 4, 1, 1, 8, 6, 8, 2, 0, 9, 5, 1, 10, 17, 3, 8, 1, 5, 7, 3, 9, 6, 6, 8, 4, 5, 7, 3, 5, 3, 2}

{1, 7, 4, 2, 4, 8, 10, 5, 8, 7, 10, 7, 6, 5, 9, 3, 6, 1, 10, 8, 10, 3, 3, 7, 7, 6, 1, 8, 10, 4, 0, 0, 0, 4, 0, 3, 10, 8, 8, 7, 4, 5, 1, 8, 10, 10, 10, 4, 0, 9, 10, 8, 0, 2, 4, 7, 7, 4, 3, 6, 8, 3, 4, 7, 5, 2, 10, 4, 10, 5, 9, 4, 10, 10, 10, 8, 8, 9, 1, 6, 6, 0, 4, 6, 0, 8, 0, 5, 11, 3, 9, 8, 4, 2, 2, 9, 2, 10, 0, 2}

{4, 9, 4, 1, 7, 3, 9, 4, 2, 8, 10, 6, 6, 1, 1, 5, 10, 10, 10, 9, 1, 9, 4, 5, 9, 6, 4, 1, 5, 2, 1, 7, 1, 5, 9, 8, 6, 5, 10, 6, 3, 7, 1, 9, 9, 0, 1, 6, 0, 1, 4, 1, 8, 7, 6, 4, 2, 8, 3, 6, 0, 2, 2, 10, 7, 9, 5, 1, 4, 4, 7, 5, 0, 7, 1, 7, 7, 3, 2, 7, 2, 7, 8, 8, 1, 2, 1, 1, 8, 3, 7, 8, 5, 8, 5, 0, 4, 10, 1}

{6, 3, 6, 0, 2, 2, 2, 9, 10, 3, 1, 4, 5, 6, 2, 2, 5, 2, 1, 6, 10, 2, 1, 6, 6, 7, 0, 6, 0, 9, 5, 7, 1, 9, 7, 1, 1, 7, 9, 9, 10, 10, 2, 4, 3, 2, 4, 8, 4, 4, 3, 2, 6, 2, 8, 1, 9, 6, 5, 10, 4, 10, 6, 4, 9, 0, 3, 8, 8, 1, 6, 5, 9, 8, 8, 1, 0, 1, 7, 2, 3, 9, 4, 8, 0, 10, 9, 10, 4, 2, 9, 6, 1, 2, 10, 8, 0, 1, 3}

Returns: 2595
10

10

{5, 3, 8, 9, 9, 6, 4, 10, 9, 8, 1, 2, 4, 5, 5, 4, 9, 8, 1, 6, 0, 1, 6, 8, 9, 1, 5, 5, 7, 10, 4, 10, 3, 2, 7, 10, 6, 0, 10, 4, 9, 9, 5, 0, 4, 8, 5, 2, 4, 4, 6, 4, 5, 1, 10, 2, 0, 2, 5, 7, 2, 10, 5, 5, 10, 1, 4, 5, 10, 1, 8, 6, 0, 0, 7, 2, 8, 1, 2, 1, 3, 6, 4, 6, 5, 3, 6, 5, 6, 1, 10, 8, 9, 2, 0, 6, 1, 2, 9, 1, 2, 4, 7, 2, 4, 3, 2, 0, 2, 4, 10, 5, 8, 3, 10, 2, 5, 5, 7, 9, 6, 6, 6, 2, 9, 4, 8, 10, 4, 5, 9, 6, 9, 6, 6, 3, 7, 8, 1, 10, 10, 0, 2, 7, 2, 1, 7, 7, 5, 3, 5, 9, 8, 9, 1, 4, 0, 7, 1, 4, 1, 9, 0, 9, 4, 4, 1, 0, 2, 0, 8, 10, 9, 9, 5, 0, 8, 1, 5, 2, 3, 8, 1, 9, 4, 0, 2, 4, 5, 1, 7, 5, 10, 5, 3, 1, 9, 2, 0, 0, 2, 6, 9, 0, 4, 3, 10, 0, 4, 4, 2, 7, 0, 1, 5, 4, 10, 5, 7, 5, 5, 3, 8, 2, 6, 0, 2, 4, 2, 2, 3, 2, 8, 1, 0, 0, 4, 10, 0, 6, 2, 2, 1, 2, 2, 4, 4, 10, 10, 0, 2, 2, 1, 10, 2, 7, 10, 4, 10, 10, 6, 0, 10, 2, 1, 0, 2, 3, 8, 2, 7, 10, 2, 8, 10, 2, 2, 4, 2, 10, 4, 4, 10, 4, 4, 1, 9, 1, 6, 8, 10, 10, 8, 9, 1, 7, 7, 1, 8, 5, 3, 3, 2, 6, 0, 2, 8, 0, 6, 8, 8, 8, 2, 7, 10, 6, 9, 9, 5, 2, 4, 4, 10, 2, 1, 1, 7, 8, 2, 3, 0, 4, 6, 3, 8, 4, 5, 3, 5, 9, 1, 2, 4, 3, 10, 4, 7, 6, 2, 10, 6, 6, 4, 5, 6, 5, 4, 1, 0, 5, 4, 1, 9, 8, 2, 4, 1, 7, 7, 6, 3, 8, 7, 5, 9, 4, 9, 3, 8, 9, 3, 3, 3, 5, 6, 7, 10, 9, 8, 8, 3, 10, 9, 10, 5, 0, 1, 7, 5, 8, 0, 6, 4, 5, 1, 2, 9, 8, 6, 6, 7, 7, 7, 10, 1, 1, 4, 0, 10, 2, 6, 0, 10, 3, 8, 5, 3, 9, 10, 7, 6, 8, 0, 10, 3, 1, 0, 1, 8, 6, 6, 4, 0, 0, 1, 1, 1, 5, 10, 0, 5, 5, 9, 5, 8, 6, 8, 10, 4, 5, 4, 9, 2, 4, 6, 5, 4, 6, 5, 1, 10, 9, 3, 10, 9, 4, 0, 0, 7, 10, 9, 2, 3, 8, 5, 0, 3, 0, 10, 6, 5, 1, 2, 5, 6, 8, 0, 8, 4, 3, 9, 1, 1, 1, 10, 10, 3, 10, 8, 10, 8, 7, 10, 0, 2, 4, 9, 5, 4, 7, 9, 7, 8, 0, 2, 1, 7, 2, 9, 0, 3, 5, 10, 2, 4, 9, 10, 7, 7, 8, 5, 2, 2, 4, 0, 4, 7, 9, 7, 0, 3, 6, 8, 1, 4, 10, 0, 0, 10, 10, 9, 0, 4, 9, 2, 9, 5, 1, 3, 1, 7, 8, 3, 9, 0, 3, 2, 7, 0, 10, 5, 3, 5, 2, 2, 9, 10, 3, 8, 7, 2, 6, 7, 4, 4, 7, 2, 8, 7, 4, 9, 3, 1, 0, 2, 10, 1, 4, 6, 1, 1, 1, 3, 6, 1, 5, 3, 10, 8, 0, 6, 8, 4, 1, 2, 7, 6, 2, 4, 2, 6, 2, 6, 6, 2, 6, 5, 2, 10, 10, 3, 1, 0, 6, 5, 10, 1, 6, 9, 7, 4, 5, 3, 9, 4, 5, 5, 10, 5, 9, 0, 10, 9, 6, 3, 10, 1, 6, 1, 9, 5, 4, 8, 3, 9, 3, 3, 8, 7, 1, 4, 1, 4, 7, 10, 8, 10, 2, 6, 3, 9, 6, 0, 7, 10, 3, 6, 0, 9, 5, 7, 2, 10, 5, 5, 6, 8, 8, 3, 2, 10, 7, 3, 1, 2, 0, 10, 1, 0, 3, 2, 9, 9, 2, 6, 8, 3, 10, 6, 2, 5, 2, 2, 2, 7, 7, 8, 2, 5, 0, 5, 2, 5, 6, 3, 7, 7, 0, 7, 7, 3, 7, 4, 1, 10, 8, 7, 2, 7, 2, 2, 10, 3, 4, 10, 10, 10, 7, 0, 4, 5, 3, 4, 0, 9, 7, 5, 3, 6, 10, 9, 9, 7, 2, 9, 6, 10, 5, 6, 4, 6, 7, 2, 9, 0, 1, 6, 10, 7, 6, 1, 10, 7, 5, 10, 6, 0, 3, 7, 4, 2, 5, 2, 9, 5, 9, 2, 2, 2, 9, 5, 8, 5, 7, 4, 3, 6, 10, 1, 0, 4, 0, 0, 9, 4, 8, 4, 2, 0, 10, 6, 3, 2, 6, 10, 8, 5, 2, 10, 7, 0, 2, 4, 3, 9, 6, 4, 3, 5, 5, 3, 7, 4, 3, 6, 8, 1, 8, 10, 10, 7, 5, 0, 8, 0, 0, 5, 5, 2, 2, 10, 0, 5, 1, 1, 1, 7, 5, 4, 0, 9, 6, 7, 2, 9, 0, 10, 8, 7, 9, 8, 1, 1, 6, 9, 1, 6, 3, 5, 8, 4, 4, 6, 9, 6, 7, 8, 0, 2, 2, 0, 0, 6, 6, 2, 4, 6, 10, 0, 2, 6, 6, 4, 7, 1, 0, 6, 8, 4, 9, 3, 6, 1, 10, 2, 5, 6, 10, 5, 6, 10, 6, 4, 5, 1, 4, 8, 5, 3, 8, 8, 9, 3, 10, 3, 2, 10, 10, 10, 1, 6, 1, 7, 7, 9, 9, 1, 4, 9, 7, 9, 6, 0, 2, 1, 10, 7, 9, 4, 8, 6, 10, 5, 7, 9, 8, 9, 7, 5, 7}

{8, 1, 6, 3, 8, 4, 10, 8, 6, 8, 2, 4, 2, 2, 5, 3, 1, 10, 1, 3, 7, 5, 3, 1, 10, 10, 8, 8, 6, 2, 2, 2, 1, 8, 3, 8, 1, 2, 5, 8, 9, 7, 10, 0, 7, 4, 3, 6, 3, 2, 9, 9, 7, 10, 8, 6, 10, 5, 1, 3, 6, 2, 5, 7, 10, 8, 4, 10, 0, 7, 5, 9, 3, 4, 7, 8, 7, 10, 3, 8, 1, 0, 6, 6, 10, 4, 1, 7, 7, 0, 0, 0, 2, 3, 8, 0, 10, 10, 8, 8, 7, 0, 4, 8, 2, 0, 6, 9, 10, 7, 7, 9, 5, 0, 4, 5, 2, 3, 10, 10, 1, 10, 10, 4, 1, 5, 2, 0, 3, 8, 8, 8, 8, 1, 3, 10, 1, 9, 7, 0, 4, 3, 7, 9, 1, 0, 1, 4, 1, 1, 1, 2, 9, 9, 6, 10, 2, 6, 10, 5, 1, 5, 2, 9, 6, 3, 7, 7, 0, 3, 5, 4, 4, 1, 0, 5, 10, 2, 9, 0, 1, 10, 3, 8, 7, 7, 8, 9, 1, 5, 3, 2, 0, 3, 1, 6, 6, 6, 1, 6, 9, 4, 8, 2, 6, 9, 7, 3, 9, 4, 2, 8, 1, 5, 5, 8, 10, 2, 6, 0, 8, 7, 1, 6, 10, 0, 1, 4, 6, 2, 10, 4, 7, 6, 6, 0, 4, 0, 1, 0, 4, 3, 8, 4, 6, 2, 1, 6, 3, 6, 4, 9, 2, 5, 4, 2, 5, 5, 4, 9, 6, 3, 2, 0, 7, 6, 9, 0, 7, 8, 9, 9, 1, 6, 2, 5, 7, 2, 9, 10, 8, 3, 6, 10, 6, 10, 10, 10, 2, 3, 8, 6, 5, 9, 4, 1, 4, 0, 0, 9, 9, 9, 8, 8, 3, 8, 2, 10, 10, 1, 7, 5, 2, 2, 5, 8, 10, 4, 5, 1, 8, 3, 6, 0, 1, 10, 1, 3, 0, 1, 2, 7, 0, 8, 4, 3, 5, 6, 0, 3, 5, 7, 8, 7, 7, 2, 3, 6, 5, 8, 5, 0, 9, 9, 0, 8, 9, 1, 1, 7, 1, 1, 3, 10, 9, 7, 0, 1, 0, 0, 4, 6, 5, 2, 0, 10, 2, 3, 5, 5, 1, 8, 5, 10, 7, 3, 6, 3, 3, 7, 10, 4, 6, 0, 1, 4, 7, 1, 5, 5, 10, 8, 9, 2, 8, 10, 1, 8, 2, 6, 3, 1, 1, 6, 10, 8, 10, 5, 0, 2, 10, 8, 4, 5, 8, 5, 7, 2, 4, 1, 8, 3, 7, 6, 5, 4, 5, 6, 2, 6, 10, 5, 7, 9, 0, 6, 7, 8, 9, 5, 10, 8, 1, 1, 0, 9, 6, 7, 1, 8, 7, 7, 0, 3, 2, 3, 6, 6, 7, 8, 10, 4, 0, 6, 3, 9, 0, 8, 7, 7, 2, 4, 3, 3, 4, 3, 0, 10, 9, 10, 8, 5, 6, 6, 6, 6, 10, 10, 1, 4, 7, 0, 9, 5, 5, 1, 4, 3, 9, 9, 10, 9, 0, 2, 0, 4, 6, 9, 2, 2, 8, 8, 7, 3, 3, 0, 9, 0, 0, 9, 5, 5, 7, 1, 0, 1, 2, 2, 4, 9, 9, 2, 5, 9, 4, 3, 3, 8, 1, 5, 10, 7, 2, 4, 10, 3, 5, 7, 2, 3, 3, 5, 6, 10, 6, 6, 10, 6, 6, 1, 2, 4, 3, 5, 3, 8, 9, 4, 3, 8, 7, 3, 5, 7, 7, 4, 10, 10, 9, 10, 2, 1, 4, 9, 1, 10, 2, 9, 3, 7, 10, 5, 0, 3, 0, 1, 9, 7, 3, 10, 4, 10, 2, 9, 6, 10, 1, 6, 9, 10, 3, 10, 10, 8, 6, 9, 5, 6, 7, 9, 2, 6, 1, 1, 7, 1, 0, 3, 6, 4, 3, 0, 3, 5, 7, 10, 2, 6, 3, 10, 4, 6, 7, 3, 1, 0, 1, 7, 6, 8, 3, 7, 1, 4, 6, 7, 4, 4, 8, 10, 8, 0, 8, 10, 4, 5, 7, 4, 0, 8, 1, 4, 1, 8, 5, 3, 8, 6, 10, 2, 1, 2, 7, 1, 4, 0, 8, 8, 4, 5, 8, 0, 4, 3, 10, 6, 8, 6, 10, 7, 1, 1, 9, 2, 7, 4, 5, 3, 8, 2, 3, 8, 2, 10, 9, 7, 8, 4, 4, 1, 7, 10, 10, 0, 1, 9, 4, 9, 2, 4, 3, 3, 3, 0, 6, 10, 4, 9, 2, 10, 1, 3, 5, 3, 2, 1, 8, 8, 5, 2, 8, 0, 10, 7, 0, 0, 4, 5, 8, 4, 7, 9, 6, 10, 9, 1, 7, 0, 8, 8, 9, 9, 0, 3, 0, 1, 5, 8, 9, 8, 8, 6, 8, 6, 1, 7, 4, 5, 10, 1, 9, 6, 9, 4, 3, 7, 3, 8, 6, 1, 3, 4, 8, 4, 7, 8, 3, 10, 4, 10, 8, 1, 6, 5, 5, 5, 1, 10, 10, 0, 9, 6, 4, 7, 0, 7, 2, 1, 3, 8, 0, 6, 1, 9, 10, 6, 4, 0, 6, 6, 0, 3, 6, 4, 6, 0, 9, 8, 10, 8, 8, 7, 1, 0, 3, 1, 7, 5, 1, 8, 0, 1, 4, 1, 8, 1, 6, 2, 2, 1, 6, 0, 2, 1, 4, 8, 2, 2, 5, 10, 8, 1, 6, 9, 1, 8, 9, 6, 2, 10, 4, 1, 9, 6, 2, 7, 7, 8, 7, 7, 7, 2, 7, 9, 4, 0, 7, 4, 0, 10, 1, 8, 0, 6, 5, 10, 3, 3, 4, 3, 0, 8, 4, 9, 1, 7, 5, 8, 2, 1, 5, 10, 2, 10, 6, 6, 0, 2, 8, 9, 2, 9, 5, 0, 4, 10, 9, 7, 0, 2, 9, 9, 8, 2, 7, 9, 7, 0, 4, 8, 10, 7, 5, 1, 7, 0, 5, 5, 1, 0, 3, 1, 10, 8, 10, 1, 5, 8, 7, 3, 10, 5, 1, 7, 5, 7, 3, 2, 5, 8}

{10, 4, 4, 2, 4, 0, 2, 7, 5, 3, 8, 7, 2, 7, 2, 2, 6, 8, 10, 2, 9, 10, 7, 0, 4, 0, 5, 8, 2, 10, 5, 10, 3, 9, 1, 5, 8, 1, 2, 0, 5, 10, 7, 5, 4, 10, 7, 10, 5, 7, 2, 3, 4, 7, 3, 8, 7, 6, 3, 7, 5, 8, 6, 7, 5, 5, 1, 0, 7, 3, 0, 10, 0, 6, 4, 4, 5, 1, 4, 8, 8, 4, 0, 10, 0, 2, 5, 6, 8, 9, 2, 3, 4, 9, 10, 7, 3, 9, 7, 10, 0, 6, 9, 0, 1, 3, 3, 6, 2, 7, 3, 8, 9, 1, 7, 9, 1, 1, 4, 10, 8, 7, 0, 2, 3, 8, 9, 4, 6, 4, 4, 4, 10, 0, 5, 0, 1, 6, 4, 1, 2, 5, 9, 0, 6, 5, 7, 8, 5, 10, 5, 2, 4, 5, 2, 7, 0, 1, 0, 4, 3, 2, 9, 2, 1, 1, 0, 0, 7, 4, 2, 7, 7, 0, 5, 0, 4, 10, 8, 9, 9, 0, 9, 2, 3, 1, 9, 3, 0, 8, 8, 3, 10, 4, 3, 9, 3, 3, 10, 10, 5, 1, 4, 1, 10, 9, 1, 3, 6, 8, 10, 5, 8, 9, 5, 1, 10, 2, 2, 10, 10, 8, 2, 7, 10, 5, 6, 2, 6, 5, 1, 0, 4, 3, 1, 3, 10, 2, 5, 6, 10, 4, 9, 6, 2, 3, 5, 1, 5, 5, 9, 4, 3, 0, 10, 0, 3, 5, 3, 9, 8, 2, 9, 10, 6, 8, 2, 3, 0, 5, 9, 8, 10, 7, 1, 1, 9, 4, 1, 3, 10, 10, 6, 0, 9, 5, 0, 1, 8, 3, 9, 3, 4, 5, 0, 8, 3, 0, 0, 1, 6, 10, 7, 5, 4, 9, 6, 2, 2, 5, 4, 1, 5, 10, 10, 1, 2, 0, 0, 8, 1, 9, 9, 5, 4, 9, 2, 7, 9, 1, 6, 4, 0, 2, 7, 2, 0, 1, 5, 1, 6, 7, 0, 9, 6, 0, 10, 6, 9, 0, 1, 10, 7, 8, 3, 0, 6, 3, 5, 2, 4, 0, 5, 2, 3, 1, 5, 1, 2, 8, 2, 7, 4, 1, 5, 8, 1, 3, 1, 10, 1, 2, 7, 8, 10, 10, 9, 3, 3, 1, 5, 5, 0, 8, 8, 3, 10, 0, 2, 1, 6, 5, 8, 10, 6, 1, 5, 5, 4, 6, 4, 5, 6, 9, 2, 3, 9, 9, 6, 10, 9, 9, 2, 9, 7, 8, 10, 4, 8, 1, 5, 3, 4, 1, 0, 8, 0, 5, 2, 4, 9, 4, 7, 4, 3, 7, 7, 10, 4, 0, 9, 2, 8, 9, 0, 4, 7, 8, 6, 4, 9, 9, 6, 3, 10, 4, 9, 10, 10, 1, 1, 8, 3, 6, 0, 4, 3, 5, 3, 7, 6, 10, 9, 3, 9, 7, 5, 5, 4, 0, 7, 0, 9, 0, 1, 7, 5, 0, 4, 4, 10, 4, 10, 2, 10, 8, 7, 2, 3, 8, 7, 7, 8, 5, 10, 6, 10, 2, 9, 1, 0, 5, 2, 7, 6, 1, 1, 0, 1, 4, 2, 9, 8, 10, 1, 5, 6, 6, 6, 9, 3, 2, 5, 9, 6, 2, 2, 5, 2, 0, 5, 0, 4, 5, 5, 8, 6, 7, 6, 8, 0, 6, 6, 6, 3, 5, 9, 9, 9, 4, 5, 0, 7, 8, 9, 0, 10, 10, 3, 10, 10, 8, 10, 1, 2, 3, 9, 9, 10, 4, 4, 8, 10, 8, 1, 3, 1, 10, 10, 8, 4, 5, 8, 9, 2, 5, 9, 0, 4, 10, 10, 1, 8, 8, 1, 8, 0, 10, 4, 8, 2, 6, 3, 10, 2, 4, 0, 3, 3, 0, 0, 5, 5, 7, 1, 7, 1, 10, 5, 3, 8, 3, 4, 5, 9, 5, 0, 7, 3, 5, 4, 5, 0, 7, 2, 2, 0, 3, 3, 1, 3, 4, 7, 8, 0, 8, 2, 10, 6, 6, 2, 3, 9, 4, 6, 7, 8, 6, 3, 9, 0, 7, 3, 10, 1, 5, 1, 10, 6, 3, 0, 9, 5, 5, 4, 3, 1, 5, 2, 5, 0, 2, 6, 9, 6, 1, 5, 1, 5, 6, 10, 6, 2, 0, 3, 1, 4, 2, 0, 10, 5, 9, 9, 10, 2, 0, 2, 3, 5, 2, 8, 5, 4, 1, 1, 9, 2, 4, 10, 7, 10, 8, 0, 10, 8, 3, 0, 1, 6, 9, 10, 9, 8, 8, 9, 10, 6, 9, 0, 1, 1, 6, 4, 5, 7, 6, 1, 7, 8, 1, 3, 8, 9, 2, 7, 4, 3, 6, 4, 7, 4, 3, 6, 10, 9, 2, 7, 4, 0, 7, 5, 1, 2, 8, 5, 7, 1, 6, 3, 9, 5, 5, 6, 1, 7, 3, 6, 10, 7, 10, 7, 0, 2, 2, 0, 0, 2, 7, 4, 2, 2, 8, 2, 4, 5, 7, 10, 4, 0, 2, 2, 6, 7, 9, 7, 1, 10, 2, 1, 6, 10, 6, 4, 1, 6, 4, 10, 8, 10, 2, 10, 1, 10, 1, 3, 2, 6, 2, 6, 7, 3, 6, 0, 8, 4, 7, 10, 1, 8, 9, 5, 7, 4, 10, 7, 10, 3, 6, 7, 0, 8, 4, 1, 5, 4, 5, 5, 10, 5, 9, 4, 8, 5, 4, 6, 7, 10, 3, 9, 7, 1, 3, 3, 3, 2, 10, 0, 4, 4, 7, 4, 10, 9, 4, 5, 2, 7, 8, 0, 1, 7, 2, 8, 1, 7, 1, 8, 6, 4, 4, 0, 3, 8, 3, 6, 8, 1, 6, 10, 5, 0, 4, 4, 7, 6, 7, 10, 2, 5, 8, 3, 10, 10, 0, 0, 4, 1, 6, 8, 3, 9, 6, 6, 6, 10, 10, 1, 9, 3, 1, 3, 3, 3, 5, 9, 9, 2, 6, 0, 5, 3, 3, 4, 0, 2, 2, 3, 3, 8, 9, 7, 4, 5, 0, 10, 2, 0, 10, 0}

{1, 0, 1, 3, 3, 6, 1, 1, 6, 7, 1, 0, 10, 2, 4, 8, 4, 4, 0, 8, 0, 8, 2, 4, 2, 0, 4, 4, 9, 1, 2, 0, 1, 3, 3, 4, 9, 4, 5, 3, 9, 4, 1, 6, 6, 4, 3, 0, 8, 2, 6, 8, 10, 6, 2, 10, 4, 4, 3, 3, 5, 5, 1, 6, 6, 2, 8, 2, 4, 0, 5, 2, 4, 7, 8, 8, 0, 0, 6, 8, 2, 10, 4, 10, 5, 6, 9, 8, 10, 10, 0, 2, 2, 1, 8, 8, 1, 5, 0, 5, 3, 3, 7, 7, 10, 4, 2, 8, 2, 9, 4, 3, 8, 8, 2, 3, 1, 10, 0, 0, 9, 9, 0, 1, 8, 8, 9, 9, 0, 7, 3, 3, 0, 8, 8, 10, 1, 10, 6, 1, 8, 10, 4, 4, 5, 7, 7, 6, 4, 5, 4, 2, 1, 4, 3, 7, 10, 0, 5, 8, 7, 6, 0, 7, 3, 6, 5, 2, 3, 0, 3, 10, 10, 8, 3, 2, 2, 8, 8, 6, 0, 1, 6, 1, 5, 10, 8, 4, 8, 0, 1, 4, 4, 10, 10, 7, 3, 4, 7, 6, 2, 10, 5, 10, 5, 6, 1, 7, 3, 9, 0, 3, 10, 7, 4, 2, 4, 10, 4, 10, 8, 5, 3, 1, 2, 0, 8, 3, 2, 4, 9, 4, 2, 2, 3, 7, 8, 2, 2, 10, 0, 2, 2, 8, 7, 5, 8, 0, 4, 1, 10, 0, 4, 1, 1, 4, 10, 10, 7, 2, 1, 6, 4, 3, 6, 6, 9, 1, 8, 0, 0, 7, 2, 3, 2, 10, 6, 0, 8, 8, 10, 6, 8, 4, 5, 10, 8, 4, 7, 5, 6, 8, 9, 9, 10, 2, 4, 6, 3, 1, 6, 2, 6, 6, 3, 9, 3, 9, 7, 10, 6, 6, 5, 4, 10, 10, 3, 6, 3, 10, 9, 8, 5, 7, 6, 2, 7, 10, 8, 8, 9, 1, 10, 5, 8, 2, 1, 0, 0, 8, 8, 7, 3, 2, 9, 1, 1, 10, 7, 3, 7, 5, 0, 1, 10, 6, 2, 4, 3, 8, 1, 10, 10, 1, 2, 7, 3, 3, 5, 2, 0, 3, 9, 2, 3, 5, 3, 5, 4, 8, 6, 0, 0, 6, 10, 10, 10, 10, 3, 0, 8, 4, 10, 7, 3, 2, 1, 7, 3, 4, 9, 4, 5, 5, 4, 9, 8, 5, 1, 1, 2, 5, 10, 2, 0, 7, 10, 8, 7, 2, 8, 4, 4, 5, 9, 6, 7, 10, 0, 0, 1, 7, 2, 5, 1, 4, 1, 9, 9, 0, 8, 0, 5, 7, 2, 3, 3, 1, 0, 8, 1, 6, 1, 3, 0, 10, 7, 6, 7, 7, 4, 7, 3, 4, 1, 4, 8, 0, 0, 6, 0, 6, 4, 5, 0, 4, 8, 4, 3, 6, 1, 4, 1, 1, 5, 1, 9, 2, 5, 4, 9, 9, 0, 0, 2, 10, 4, 8, 10, 3, 1, 8, 9, 5, 2, 8, 9, 8, 1, 1, 1, 0, 3, 2, 10, 9, 1, 7, 9, 7, 0, 5, 3, 9, 5, 6, 8, 8, 1, 5, 9, 3, 2, 5, 8, 2, 2, 7, 8, 1, 6, 9, 0, 10, 9, 10, 6, 10, 6, 2, 6, 4, 7, 8, 2, 0, 3, 8, 8, 2, 2, 6, 5, 2, 0, 3, 2, 1, 8, 8, 2, 3, 6, 2, 0, 2, 2, 6, 2, 6, 8, 6, 0, 3, 3, 2, 3, 4, 9, 9, 7, 0, 4, 1, 1, 2, 2, 3, 3, 8, 10, 6, 1, 5, 6, 1, 6, 6, 6, 8, 2, 1, 1, 0, 4, 5, 0, 7, 7, 9, 5, 3, 8, 7, 3, 9, 8, 3, 10, 9, 1, 9, 2, 0, 2, 9, 10, 8, 4, 5, 3, 4, 5, 4, 2, 9, 7, 3, 4, 4, 10, 7, 5, 7, 2, 6, 3, 10, 10, 1, 8, 9, 8, 9, 9, 8, 7, 8, 3, 9, 1, 6, 3, 6, 9, 5, 2, 5, 6, 4, 7, 4, 1, 2, 0, 3, 8, 2, 0, 5, 1, 6, 3, 9, 4, 10, 7, 0, 6, 10, 8, 7, 4, 9, 0, 2, 1, 0, 5, 8, 5, 2, 1, 6, 2, 10, 7, 8, 10, 7, 1, 0, 2, 4, 8, 5, 2, 4, 3, 8, 1, 0, 4, 3, 9, 2, 3, 0, 2, 9, 6, 5, 9, 5, 0, 9, 2, 5, 6, 2, 1, 5, 0, 2, 8, 8, 7, 10, 10, 8, 7, 10, 9, 9, 2, 5, 0, 6, 5, 0, 2, 0, 6, 0, 3, 4, 7, 6, 10, 0, 8, 9, 6, 8, 9, 3, 4, 3, 2, 3, 1, 9, 2, 10, 7, 3, 4, 5, 9, 8, 3, 9, 6, 7, 9, 10, 1, 5, 5, 9, 3, 0, 5, 9, 6, 4, 1, 10, 7, 3, 1, 8, 10, 1, 5, 4, 4, 8, 7, 0, 5, 0, 9, 9, 5, 5, 8, 4, 8, 0, 2, 1, 9, 8, 10, 5, 10, 10, 2, 6, 0, 1, 4, 0, 1, 7, 2, 3, 4, 10, 4, 7, 8, 0, 6, 2, 6, 1, 5, 1, 0, 5, 0, 9, 2, 0, 1, 1, 8, 2, 6, 8, 3, 8, 8, 4, 4, 9, 8, 9, 8, 10, 5, 3, 8, 9, 5, 3, 0, 8, 3, 0, 3, 3, 7, 3, 1, 9, 3, 9, 0, 9, 7, 1, 6, 2, 4, 10, 0, 10, 6, 6, 7, 10, 9, 4, 8, 2, 6, 6, 10, 9, 4, 2, 10, 1, 6, 1, 8, 9, 8, 6, 5, 2, 7, 0, 3, 9, 8, 1, 6, 2, 8, 2, 1, 6, 7, 7, 6, 2, 1, 4, 9, 5, 6, 6, 4, 10, 7, 10, 6, 3, 5, 0, 5, 0, 9, 6, 9, 5, 8, 5, 7, 5, 5, 6, 9, 10, 0, 3, 10, 1, 7, 8, 5, 2, 4, 7, 0}

Returns: 18184
10

10

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{1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0}

Returns: 15462
1000000

1000000

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Returns: 1505933158
1000000

1000000

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Returns: 1499113467
1000000

1000000

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Returns: 1493582831
1000000

1000000

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{1, 2, 4, 8, 0, 8, 2, 9, 2, 0, 2, 6, 0, 8, 7, 2, 0, 2, 7, 5, 1, 5, 3, 0, 2, 7, 8, 8, 6, 7, 3, 7, 1, 9, 5, 2, 7, 0, 1, 9, 2, 3, 7, 2, 3, 4, 6, 6, 9, 4, 1, 0, 1, 6, 2, 3, 3, 1, 4, 2, 8, 7, 9, 1, 6, 7, 3, 5, 9, 6, 5, 1, 1, 4, 5, 5, 9, 2, 1, 0, 8, 4, 0, 9, 0, 2, 5, 6, 5, 1, 8, 3, 8, 9, 5, 4, 6, 0, 9, 7, 7, 6, 8, 0, 1, 4, 7, 2, 8, 0, 2, 8, 4, 4, 9, 7, 8, 6, 3, 4, 7, 3, 9, 5, 2, 4, 1, 9, 7, 3, 8, 6, 9, 7, 6, 2, 3, 6, 4, 3, 6, 8, 1, 1, 2, 0, 0, 3, 9, 3, 7, 6, 8, 6, 2, 0, 3, 5, 1, 0, 8, 0, 6, 8, 9, 4, 2, 4, 0, 9, 7, 9, 7, 0, 0, 2, 2, 2, 5, 1, 7, 4, 8, 5, 0, 2, 5, 3, 7, 7, 5, 6, 9, 3, 6, 8, 0, 8, 2, 0, 9, 1, 9, 7, 3, 1, 1, 5, 5, 8, 9, 2, 2, 7, 7, 4, 1, 5, 0, 8, 4, 5, 4, 3, 9, 2, 3, 1, 3, 7, 1, 2, 8, 3, 1, 1, 6, 2, 8, 2, 2, 7, 6, 4, 6, 4, 9, 7, 1, 9, 6, 5, 6, 2, 0, 7, 5, 3, 8, 0, 0, 2, 2, 0, 7, 4, 3, 5, 8, 1, 7, 1, 1, 6, 7, 7, 2, 8, 5, 3, 9, 3, 0, 6, 5, 0, 5, 2, 5, 4, 2, 7, 8, 7, 7, 5, 3, 2, 0, 1, 5, 0, 4, 6, 6, 4, 4, 8, 2, 1, 3, 4, 4, 3, 2, 1, 5, 7, 4, 0, 3, 8, 9, 1, 7, 8, 8, 0, 0, 1, 4, 5, 1, 0, 4, 9, 4, 8, 9, 9, 9, 4, 5, 5, 7, 7, 6, 4, 4, 2, 4, 0, 1, 3, 1, 8, 1, 2, 1, 3, 3, 5, 0, 6, 5, 4, 7, 2, 2, 8, 3, 3, 2, 8, 8, 1, 5, 7, 5, 1, 9, 1, 1, 2, 6, 5, 1, 9, 7, 4, 2, 0, 1, 2, 8, 8, 9, 5, 0, 1, 3, 5, 7, 7, 3, 7, 8, 0, 4, 3, 2, 6, 6, 5, 8, 2, 0, 9, 3, 7, 5, 7, 9, 6, 1, 9, 5, 0, 4, 7, 4, 9, 3, 3, 6, 6, 0, 4, 7, 7, 9, 1, 3, 7, 6, 1, 1, 7, 3, 4, 6, 8, 1, 8, 7, 5, 7, 2, 5, 4, 9, 9, 3, 2, 2, 2, 1, 5, 6, 0, 4, 8, 1, 7, 5, 7, 0, 7, 6, 3, 3, 5, 4, 5, 5, 1, 2, 2, 5, 7, 8, 4, 9, 4, 9, 3, 6, 0, 0, 2, 0, 4, 2, 3, 1, 8, 0, 4, 7, 9, 7, 0, 6, 3, 7, 1, 4, 9, 5, 1, 9, 4, 6, 8, 8, 7, 1, 4, 7, 4, 8, 9, 8, 1, 2, 2, 1, 4, 6, 0, 5, 3, 2, 1, 9, 0, 2, 3, 1, 8, 5, 0, 2, 3, 8, 2, 0, 2, 6, 9, 6, 6, 8, 6, 7, 2, 8, 0, 6, 4, 2, 2, 8, 5, 3, 7, 5, 8, 2, 6, 6, 9, 9, 0, 4, 7, 2, 6, 1, 0, 5, 9, 6, 5, 6, 4, 7, 4, 6, 4, 9, 9, 8, 9, 4, 3, 8, 1, 1, 2, 9, 9, 4, 8, 9, 8, 6, 3, 5, 9, 3, 0, 9, 0, 8, 7, 6, 5, 1, 4, 1, 2, 3, 9, 3, 9, 5, 1, 0, 6, 4, 0, 8, 8, 8, 9, 8, 6, 3, 3, 8, 8, 6, 9, 8, 4, 6, 6, 1, 9, 1, 3, 4, 4, 4, 7, 6, 9, 9, 8, 8, 5, 0, 6, 5, 9, 7, 5, 7, 0, 9, 7, 9, 7, 6, 9, 3, 4, 6, 4, 6, 7, 9, 0, 3, 4, 7, 1, 3, 8, 0, 3, 5, 0, 1, 2, 1, 9, 8, 1, 1, 9, 8, 2, 6, 7, 4, 1, 1, 0, 7, 7, 9, 7, 9, 4, 1, 7, 6, 6, 7, 6, 2, 5, 8, 3, 7, 0, 4, 5, 1, 8, 4, 1, 0, 2, 8, 4, 5, 0, 6, 3, 9, 7, 0, 9, 2, 3, 8, 0, 9, 5, 6, 1, 2, 6, 7, 0, 6, 1, 5, 9, 9, 2, 1, 2, 6, 9, 8, 2, 1, 7, 5, 3, 4, 7, 2, 8, 0, 2, 8, 9, 9, 6, 3, 2, 3, 0, 2, 1, 3, 9, 1, 5, 1, 2, 9, 8, 3, 7, 2, 5, 4, 7, 8, 1, 6, 2, 1, 6, 4, 0, 7, 3, 8, 0, 5, 3, 2, 9, 5, 8, 9, 6, 3, 0, 0, 2, 0, 5, 1, 4, 2, 8, 3, 2, 9, 9, 4, 2, 5, 0, 4, 3, 6, 3, 5, 3, 6, 8, 3, 3, 6, 2, 1, 1, 4, 1, 5, 7, 7, 6, 1, 1, 4, 5, 4, 5, 4, 0, 8, 0, 1, 2, 5, 7, 7, 0, 0, 6, 8, 5, 9, 6, 7, 1, 9, 2, 4, 4, 1, 3, 1, 2, 5, 7, 7, 9, 3, 4, 9, 3, 6, 2, 7, 1, 1, 7, 1, 4, 3, 2, 9, 4, 0, 7, 5, 0, 1, 2, 4, 2, 5, 5, 6, 2, 5, 6, 3, 0, 0, 5, 3, 6, 7, 2, 7, 9, 9, 0, 3, 4, 2, 2, 9, 3, 1, 6, 3, 4, 8, 9, 8, 6, 5, 5, 0, 2, 1, 4, 2, 3, 9, 5, 9, 8, 9, 8, 9, 1, 8, 2, 5, 3, 7, 6, 8, 0, 5, 3, 5, 5, 2, 3, 3, 9, 0, 4, 1}

Returns: 1500491681
1000000

1000000

{81707}

{999255}

{}

{}

Returns: 2000000
1000000

1000000

{826824}

{697787}

{}

{}

Returns: 2000000
87906

455378

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Returns: 237385976
670492

52763

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Returns: 399606104
789734

262205

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Returns: 322978311
444911

334082

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Returns: 107624070
584253

627877

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Returns: 877062498
740828

454869

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Returns: 853862621
575835

868082

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Returns: 464422886
744446

365304

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Returns: 334333370
839542

599397

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Returns: 671392252
852596

924019

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Returns: 1279346311
503911

124939

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Returns: 249520535
413912

28469

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Returns: 167257428
606395

369329

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Returns: 305918287
614713

391855

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Returns: 349476430
130901

197952

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Returns: 225772309
310811

692827

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Returns: 419098538
509650

782492

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Returns: 953946155
596661

447204

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212, 94, 279, 294, 27, 103498, 81, 240, 255, 59388, 160, 206, 427, 30804, 298, 432, 260, 222, 185126, 389, 399, 225, 104}

Returns: 894678462
528058

695160

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Returns: 331821879
932872

49929

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Returns: 665868487
931058

407005

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Returns: 238244013
578339

427031

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374, 48, 355118, 294556, 312, 256, 417, 225, 117, 333, 220}

Returns: 854914347
867027

18753

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Returns: 662569262
144799

798240

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Returns: 92813530
507229

167047

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Returns: 446331199
20930

989009

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Returns: 203735742
658621

152060

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Returns: 189929765
234207

510065

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{32, 24, 70570, 28, 7, 3, 479327, 41, 21, 39, 10, 10, 43, 3, 36, 33, 50, 35, 7, 10, 8, 6, 15, 34, 36, 30, 6, 28, 49, 5, 11, 21, 344736, 6, 8, 36, 19, 0, 7, 21, 47, 18, 19, 31, 18, 33, 24, 29, 50, 28, 2, 3, 35, 36, 17, 14, 37, 5, 19, 14, 23, 45, 41, 35, 10, 38, 5, 4, 23, 11, 27, 44, 48, 8, 36, 32, 49, 25, 1, 18, 1, 44, 35, 16, 29, 39, 32, 19, 21, 36, 19, 46, 35, 45, 20, 38, 47, 8, 20, 20, 43, 4, 31, 44, 19, 39, 26, 45, 34, 36, 20, 5, 35, 39, 29, 434198, 7, 25, 39, 206796, 15, 25, 32, 31, 37, 50, 20, 14, 8, 38, 2, 37, 46, 39, 19, 32, 7, 5, 146899, 35, 43, 38, 39, 35, 45, 13, 33, 36, 11, 2, 12, 34, 30, 38, 25, 25, 47, 7, 44, 11, 5, 14, 14, 6, 14, 36, 33, 35, 49, 36, 34, 19, 2, 45, 49, 24, 21, 21, 19, 1, 15, 39, 36, 50, 247848, 47, 26, 17, 21, 4, 7, 3, 48, 13, 31, 28, 32, 34, 19, 2, 49, 31, 44, 22, 9, 15, 46, 35, 22, 38, 3, 40, 11, 42, 37, 13, 225997, 40, 32, 10, 29, 38, 234710, 35, 11, 28, 181803, 29, 20}

Returns: 131610261
861941

394165

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{526977, 15, 77, 20, 24, 5, 4, 72, 259175, 81, 6, 5, 85, 36, 65, 75, 47, 10, 39, 32, 81, 55, 57, 72, 4, 60, 51, 78, 66, 52, 13, 1, 56, 21, 51, 80, 14, 17, 53, 77, 334366, 30, 38, 587193, 51, 267423, 37, 9, 48, 25, 8, 31, 31, 7, 527583, 17, 58, 46, 70, 783614, 53, 24, 8, 60, 74, 80, 20, 19, 36, 12, 820506, 50}

{14, 22, 11, 8, 28, 19, 20, 34, 288497, 5, 4, 32, 6, 34, 28, 31, 9, 9, 25, 33, 26, 9, 27, 14, 0, 23, 5, 23, 22, 6, 293859, 8, 6, 6, 28, 33, 7, 9, 8, 5, 29, 39, 6, 34, 35, 27, 33, 10, 1, 19, 11, 31, 104889, 6, 18, 7, 28, 380448, 24, 11, 27, 31, 21, 8, 67906, 39, 27, 29, 33, 36, 2, 14}

Returns: 73109953
21249

637504

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Returns: 328789795
341369

198455

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Returns: 358000462
288218

310219

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Returns: 92249737
308521

653529

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Returns: 199562447
649309

536393

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Returns: 378092010
345622

434216

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Returns: 163763059
981189

720414

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Returns: 1423423253
292007

366824

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Returns: 344024257
974019

18510

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Returns: 460098336
635773

801955

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Returns: 230516543
177932

764702

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Returns: 291093849
476471

852038

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Returns: 533948125
506350

738050

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{715472, 263523, 287902, 670780, 521872, 269786, 25413, 74062, 297352, 293706, 44334, 108172, 372495, 157525, 222498, 737622, 461818, 520064, 65884, 475368, 55366, 706851, 494811, 732816, 502149, 375492, 685099, 508650, 366101, 4400, 314572, 588284, 512686, 109185, 27724, 296507, 623733, 53137, 615331, 183034, 346844, 659666, 291206, 226050, 323902, 20415, 225621, 47669, 540479, 536267, 523037, 102556, 11778, 524559, 97322, 513928, 162000, 289132, 284527, 34812, 538295, 105810}

Returns: 70487040
138822

693057

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Returns: 391429729
289665

594727

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Returns: 694988116
72

90

{9, 9, 42, 64, 37, 4, 67, 65, 20, 18, 25, 45, 19, 57, 34, 29, 20, 43, 17, 46, 61, 1, 18, 53, 54, 23, 9, 69, 57, 44, 34, 50, 37, 4, 26, 1, 8, 4, 66 }

{37, 47, 48, 69, 56, 22, 40, 52, 43, 46, 64, 24, 48, 54, 54, 56, 32, 77, 50, 8, 7, 90, 55, 34, 40, 89, 57, 44, 21, 59, 89, 21, 69, 46, 0, 89, 31, 3, 50 }

{56, 5, 21, 5, 22, 5, 45, 4, 44, 20, 68, 63, 37, 14, 43, 31, 70, 28, 51, 38, 20, 59, 72, 66, 16, 20, 39, 72, 11, 71, 21, 51, 60, 42, 40, 10, 32, 70 }

{77, 73, 42, 80, 43, 24, 81, 68, 40, 86, 1, 76, 43, 10, 43, 53, 40, 26, 18, 70, 60, 68, 29, 17, 66, 2, 87, 71, 90, 33, 11, 76, 69, 17, 65, 21, 4, 19 }

Returns: 5810
1000000

1000000

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Returns: 1774912346
1000000

1000000

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43866, 413922, 93944, 384623, 4442, 171008, 400387, 219469, 389777, 373654, 589145, 187920, 78069, 389239, 8815, 155596, 266664, 99489, 18065, 41673, 25836, 324139, 147896, 202331, 274461, 77226, 322116, 317873, 601304, 409721, 358145, 553758, 314284, 171394, 81561, 515232, 523780, 431389, 517422, 392679, 39744, 58204, 304093, 747505, 114856, 46126, 306081, 454865, 72634, 273091, 42545, 67386, 5308, 515717, 150848, 382359, 65873, 417421, 233266, 66558, 93943, 216805, 306327, 133625, 605821, 29799, 870484, 804135, 442495, 87116, 450546, 659636, 738855, 832392, 302629, 286080, 520983, 1000000, 98542, 380240, 101244, 293166, 337019, 164086, 446263, 417933, 525780, 5916, 3152, 576136, 234487, 483296, 125058, 516989, 797738, 740391, 62279, 433809, 74047, 166491, 28710, 347534, 134664, 359510, 77162, 117, 106634, 11441, 203689, 434158, 202397, 282355, 285432, 166497, 203586, 180914, 235857, 478835, 1000000, 605534, 245440, 675438, 372627, 96423, 139074, 399888, 335422, 71553, 54902, 511606, 37034, 99624, 207442, 874545, 80399, 437742, 262620, 49902, 267269, 206218, 140623, 519080, 270860, 208249, 128391, 662661, 823369, 452251, 67154, 155929, 122847, 246613, 96652, 114303, 160596, 500886, 401802, 103118, 329923, 14432, 486398, 489780, 389348, 129555, 645352, 76887, 687326, 244695, 564542, 430184, 66409, 14865, 172641, 233, 389067, 22094, 227684, 93485, 419138, 61708, 4697, 492798, 97789, 143844, 20577, 551278, 7883, 132749, 102567, 451544, 11946, 67028, 226403, 102957, 209299, 924502, 749145, 589457, 45315, 224724, 29477, 70990, 659858, 5137, 78118, 62793, 246173, 819915, 352050, 221972, 699946, 139129, 689958, 430032, 14080, 179473, 244237, 535065, 433890, 420172, 437325, 185971, 51262, 134340, 83618, 492155, 253230, 294977, 39896, 27821, 199325, 605703, 125124, 112012, 423254, 22177, 173288, 183803, 352403, 215332, 91520, 90088, 81624, 353403, 472290, 131897, 616235, 894790, 241489, 85507, 363840, 446501, 191629, 31487, 167569, 172289, 23425, 113249, 61874, 266026, 536088, 174085, 106283, 69672, 114345, 113923, 9836, 567475, 128112, 432579, 41852, 6767, 545970, 516233, 199794, 305294, 509220, 537912, 618906, 658167, 363589, 549748, 653764, 489983, 29031, 128, 75125, 193017, 76018, 685089, 211288, 74939, 235804, 372913, 412084, 356506, 160082, 270525, 97212, 148341, 250284, 684014, 144771, 31329, 574525, 221658, 540301, 107067, 214083, 170022, 500026, 148331, 181693, 348117, 336122, 564117, 314373, 199492, 460888, 121535, 18060, 692928, 200179, 342118, 358589, 160549, 381013, 495711, 521325, 1000000, 385631, 135398, 478664, 199091, 252208, 345693, 207986, 192931, 203467, 15560, 214595, 571449, 132330, 72541, 60921, 136062, 687135, 705363, 50962, 147111, 562814, 570212, 143609, 702401, 381304, 430960, 537337, 679321, 76318, 243218, 120260, 3070, 185468, 216500, 835879, 254626, 394716, 632717, 118837, 597306, 60508, 609436, 303080, 276374, 302458, 73911, 305619, 32603, 891414, 380372, 218377, 514109, 465111, 169926, 23285, 12791, 62917, 335538, 130802, 102062, 190686, 496331, 264493, 86864, 427547, 173321, 136555, 235207, 544624, 700749, 9295, 202231, 334664, 541620, 325637, 618729, 194231, 246965, 245132, 138744, 118909, 45909, 141384, 478433, 67565, 141076, 221412, 785789, 615770, 377874, 212932, 25018, 436013, 698498, 160270, 284826, 666972, 525598, 190273, 307421, 212604, 433796, 181723, 556847, 44134, 385234, 88667, 560878, 251228, 86995, 160026, 557290, 138031, 312257, 330462, 562390, 162930, 367954, 729946, 625056, 83995, 39346, 381581, 526061, 731794, 291707, 55470, 546180, 218128, 35438, 792175, 413619, 335909, 66327, 657853, 178110, 228202, 190413, 663208, 712767, 100626, 289265, 187795, 649790, 87914, 280626, 2375, 163432, 330919, 602296, 9572, 265513, 112639, 572277, 453496, 148547, 542530, 27013, 36239, 275324, 188074, 124645, 170559, 53374, 78514, 82372, 466724, 26580, 509470, 14343, 275200, 181781, 200868, 679240, 512312, 55315, 294645, 225896, 37165, 36898, 183021, 357582, 543241, 233027, 123680, 468564, 16339, 330569, 468093, 649871, 144754, 44523, 504800, 30691, 404557, 565133, 301197, 300250, 474383, 324, 151061, 187336, 345830, 393175, 53061, 786652, 441005, 3913, 10238, 865150, 221292, 367307, 249479, 45926, 312125, 2278, 538368, 162082, 413422, 222231, 478993, 223802, 487039, 861652, 81451, 667533, 214860, 196829, 450612, 512450, 109043, 41406, 176405, 460309, 464714, 29933, 133181, 175745, 474195, 566516, 195170, 147125, 841166, 69736, 227892, 86390, 7450, 309258, 376727, 275809, 287810, 307424, 367092, 156916, 221948, 260994, 215837, 253077, 231600, 210140, 51925, 170779, 424022, 163739, 738656, 88429, 93461, 205615, 586822, 67469, 264318, 120800, 912729, 1000000, 275668, 551441, 611930, 244596, 724381, 154219, 380403, 129561, 122115, 276235, 561017, 94773, 165698, 102451, 257927, 304324, 661757, 428956, 412364, 27232, 205511, 443459, 102821, 131563, 197012, 28150, 221181, 95825, 76954, 138118, 356537, 331883, 453494, 496181, 414142, 381027, 524350, 69327, 491156, 2590, 511827, 5387, 15109, 480059, 220338, 67228, 84895, 353948, 52969, 92838, 279899, 67327, 367908, 44109, 63974, 82359, 14310, 286357, 158649, 493275, 241360, 458975, 161710, 32011, 43297, 574687, 92383, 945717, 598060, 94653, 257946, 116606, 626369, 95662, 96487, 425650, 584076, 8930, 898601, 703253, 502468, 436747, 678627, 562707, 292245, 424192, 272965, 442994, 664686, 502928, 249891, 161472, 706215, 455780, 78666, 46048, 418043, 206196, 394285, 627262, 268339, 61905, 46909, 132981, 160238, 343813, 638803, 599812, 222826, 354864, 3408, 168030, 131241, 183156, 33071, 271640, 226908, 164649, 11713, 93006, 183612, 96140, 241956, 57460, 89633, 240284, 182621, 76535, 108229, 238054, 261719, 427979, 167333, 446167, 340788, 4121, 169987, 306157, 254944, 431601, 333419, 385037, 436038, 238872, 223370, 64820, 668250, 346819, 451931, 257349, 27790, 98569, 207603, 58079, 131656, 117381, 87659, 227248, 492132, 368718, 56715, 40319, 525302, 776085, 108766, 186833, 138555, 286718, 207671, 228843, 111268, 298333, 15663, 145349, 299603, 600616, 10005, 398198, 143509, 29613, 202208, 337862, 843050, 179580, 69169, 152693, 311054, 313935, 156185, 129275, 341035, 573271, 647509, 193663, 235583, 230137, 952219, 216070, 236601, 205192, 191721, 111512, 504899, 300544, 199803, 563512, 637956, 302970, 94043, 245474, 195470, 66824, 136715, 105039, 123236, 581331, 688060, 12868, 486115, 376576, 216071, 545698, 367427, 454347, 87824, 539797, 18078, 184644, 317008, 14407, 3605, 386586, 689367, 55947, 385432, 411901, 71416, 52620, 5630, 288004, 421790, 47076, 687008, 235746, 207375, 418392, 615104, 130107, 83683, 678098, 725093, 468809, 9165, 304662, 1000000, 576448, 121363, 64428, 740432, 209126, 58616, 431523, 553685, 133374, 128005, 306197 }

Returns: 1907570885
1000000

1000000

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Returns: 1850835943
1000000

1000000

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Returns: 1860903193

Statistics

Problem Statement for "MiningGoldHard"

Problem Statement

Definition

Constraints

Examples