TopCoder Statistics - Problem Statement

Problem Statement

An infinite board divided into a grid of unit square cells is called a simple maze if it has the following properties:

Each cell is either empty ('.') or contains an obstacle ('#').
The number of empty cells is finite.
All empty cells form one 4-connected component (explained below).
All obstacles form one 4-connected component.

When in the maze, you can move from an empty cell into any other empty cell that shares a side with your current empty cell. Property #3 means that you can walk from any empty cell into any other empty cell in the maze. Property #4 means that all the obstacles are connected in the same way. (If all obstacles were changed into empty cells and vice versa, it would also be possible to walk between any two empty cells.)

We can describe a simple maze by describing the boundary between the empty cells and obstacles. You are given this description in the int[] moves. Use the following pseudocode to construct the boundary:

Take a pen and place it anywhere onto the infinite plane.
For each i from 0 to length(moves)-1:
    If i is even:
        Move the pen moves[i] steps to the right.
    Else:
        Move the pen moves[i] steps upwards.

Note that some elements of moves will be negative. These correspond to movement to the left or downwards, respectively. For example, if moves = {3, 1, -2, 2, -1, -3} then the maze will look as follows:

#####
#.###
#.###
#...#
#####

(All other cells in the infinite plane are obstacles. We started drawing the boundary from the bottom left corner of the empty area.)

It is guaranteed that moves will always describe a closed polyline that never touches or intersects itself.

The distance between two empty cells is the smallest number of steps needed to get from one of the cells into the other.

You are given the int[] moves. For each pair of empty cells in the maze, compute their distance. Let S be the sum of those distances. Compute and return the value S modulo (10^9 + 7).

Definition

Class:: SimpleMaze
Method:: findSum
Parameters:: int[]
Returns:: int
Method signature:: int findSum(int[] moves)
(be sure your method is public)

Constraints

moves will contain between 4 and 2,000 elements, inclusive.
moves will contain an even number of elements.
For each valid i, 1 <= |moves[i]| <= 1,000,000.
moves will describe a closed polyline that never touches or intersects itself.

Examples

{1,1,1,1,-1,1,-1,-1,-1,-1,1,-1}

Returns: 16

The maze looks like this: #.# ... #.#
{10,10,-10,-10}

Returns: 33000

The empty space is an empty square with side length 10.
{1,3,1,-3,2,1,1,-1,1,2,-2,1,2,1,-6,-4}

Returns: 629

...... .#..## .#.... .#..#.
{3,1,-2,1,1,1,-1,1,1,1,1,1,-3,-6}

Returns: 237

... ..# .## ..# .## ...
{-2,-2,-1,-3,-1,1,-1,2,-1,2,-2,-2,-1,-2,-1,-1,-1,3,-1,2,-9,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,2,-1,1,-2,-4,9,-3,-7,-6,-1,-3,2,2,1,2,1,1,1,1,1,-1,1,-1,1,-5,-1,-1,-1,-1,-1,3,1,3,-1,-1,-1,-3,-1,-1,-1,-1,-2,1,-1,2,-1,3,1,2,1,4,-2,9,1,1,2,-1,1,-2,1,1,1,1,1,1,1,1,1,5,-2,1,-2,1,-2,1,-3,2,3,1,3,2,-3,1,-3,2,3,1,2,1,2,1,3}

Returns: 516034

############################################# ####...######.........##########..####..##### ##.......####...####...#########..####..##### #...###.........####...#########..####..##### #...#########...###...#########....##....#### ##....#######...#...###########....##....#### ###.....#####...##...#########..#..##..#..### ######...####...###...########..##....##..### #...###...###...####...######...##....##...## ##.......####...#####...#####..####..####..## ###.....#####...######.........####..####..## #############################################
{1000000,1000000,-1000000,-1000000}

Returns: 333218986

Don't forget mod.
{1000000,1000000,1000,1000,-1000000,-1000000,-1000,-1000}

Returns: 65221366
{1000000,1000000,1000000,1000000,-1000000,1000000,-1000000,-1000000,-1000000,-1000000,1000000,-1000000}

Returns: 659920825
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-999, -999, -999, -999, -1000}

Returns: 457459750
{4,2,3,3,-3,-1,-4,-4}

Returns: 1136
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Returns: 895809567
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Returns: 649532632
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-994105}

Returns: 996973860
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-981101}

Returns: 898521783
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-985096}

Returns: 547461665
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-999081}

Returns: 513485287
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-999089}

Returns: 535667951
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-981129}

Returns: 978772660
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-992093}

Returns: 54214325
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-984094}

Returns: 74958053
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-980090}

Returns: 903844157
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-987088}

Returns: 891714686
{1, -1, 1, 1, 1, -1, 1, 1, 1, 5, -5, -5}

Returns: 1224
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Returns: 451786604
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Returns: 49239502
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Returns: 759234816
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Returns: 492917507
{892, -578616, 831, 578616, 704, -252540, 212, 252540, 661, -123639, 552, 123639, 843, -167019, 390, 167019, 902, -883484, 867, 883484, 753, -102362, 474, 102362, 743, -503461, 445, 503461, 26, -113736, 496, 113736, 192, -294673, 96, 294673, 204, -514375, 691, 514375, 420, -41425, 832, 41425, 180, -517819, 950, 517819, 634, -336701, 400, 336701, 146, -822272, 152, 822272, 9, -11565, 338, 11565, 588, -664231, 655, 664231, 896, -720469, 11, 720469, 443, -717264, 718, 717264, 167, -525301, 254, 525301, 971, -737731, 418, 737731, 106, -735499, 157, 735499, 899, -539009, 964, 539009, 281, -893586, 726, 893586, 673, -389726, 231, 389726, 409, -796118, 609, 796118, 772, -386583, 178, 386583, 930, -372872, 500, 372872, 738, -341081, 667, 341081, 916, -9089, 988, 9089, 309, -408133, 470, 408133, 480, -197606, 567, 197606, 34, -83963, 523, 83963, 761, -294576, 853, 294576, 588, -254487, 73, 254487, 683, -83652, 855, 83652, 558, -437714, 27, 437714, 546, -995692, 55, 995692, 694, -138094, 243, 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Returns: 404164086
{995, -313687, 477, 313687, 291, -368699, 375, 368699, 811, -783361, 576, 783361, 985, -286008, 968, 286008, 215, -368300, 265, 368300, 551, -266816, 79, 266816, 761, -217884, 938, 217884, 875, -105217, 262, 105217, 404, -110750, 242, 110750, 194, -457642, 521, 457642, 496, -730090, 642, 730090, 945, -899919, 33, 899919, 85, -62601, 435, 62601, 877, -533486, 779, 533486, 753, -734836, 303, 734836, 169, -560547, 802, 560547, 897, -790944, 877, 790944, 259, -218819, 979, 218819, 386, -376488, 218, 376488, 941, -711512, 28, 711512, 751, -428500, 901, 428500, 349, -472470, 320, 472470, 770, -59113, 375, 59113, 753, -332991, 787, 332991, 367, -924581, 972, 924581, 1000, -980018, 795, 980018, 83, -298807, 386, 298807, 255, -773735, 531, 773735, 64, -530782, 900, 530782, 690, -464806, 742, 464806, 34, -980735, 61, 980735, 360, -44055, 514, 44055, 675, -102668, 13, 102668, 744, -687338, 438, 687338, 595, -213530, 510, 213530, 185, -457581, 384, 457581, 300, -754394, 659, 754394, 933, -455438, 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Returns: 990463395
{853, -829396, 275, 829396, 487, -883262, 26, 883262, 416, -624204, 671, 624204, 775, -321107, 480, 321107, 998, -112438, 812, 112438, 233, -717653, 262, 717653, 548, -756791, 343, 756791, 800, -685113, 135, 685113, 184, -955443, 713, 955443, 576, -203381, 752, 203381, 105, -873485, 56, 873485, 524, -378655, 964, 378655, 171, -384920, 703, 384920, 408, -225423, 499, 225423, 885, -338644, 366, 338644, 941, -771887, 337, 771887, 108, -546362, 857, 546362, 794, -336238, 728, 336238, 902, -759624, 376, 759624, 125, -377011, 851, 377011, 666, -721378, 207, 721378, 122, -777904, 147, 777904, 297, -369181, 584, 369181, 521, -787466, 23, 787466, 399, -253073, 63, 253073, 751, -816852, 918, 816852, 330, -340479, 466, 340479, 394, -331581, 937, 331581, 732, -86162, 272, 86162, 768, -520818, 940, 520818, 165, -285131, 373, 285131, 169, -930300, 13, 930300, 8, -317569, 398, 317569, 831, -726092, 423, 726092, 113, -355383, 434, 355383, 167, -529048, 774, 529048, 576, -619818, 671, 619818, 139, 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551023, 310, -110939, 70, 110939, 631, -772217, 301, 772217, 1, 155106, -217553, -155106}

Returns: 435067996
{918, -855836, 560, 855836, 265, -275708, 585, 275708, 821, -956165, 970, 956165, 594, -885727, 985, 885727, 783, -787110, 699, 787110, 805, -373536, 392, 373536, 416, -369599, 337, 369599, 923, -176651, 85, 176651, 739, -274177, 544, 274177, 270, -205188, 318, 205188, 637, -492629, 306, 492629, 967, -731108, 175, 731108, 571, -493086, 298, 493086, 413, -926910, 930, 926910, 359, -240472, 316, 240472, 248, -498790, 498, 498790, 971, -211527, 475, 211527, 999, -524420, 527, 524420, 519, -716856, 154, 716856, 451, -391648, 15, 391648, 949, -636888, 287, 636888, 745, -914042, 234, 914042, 528, -219842, 765, 219842, 578, -146830, 581, 146830, 113, -401061, 420, 401061, 321, -706597, 447, 706597, 567, -137035, 828, 137035, 734, -724075, 898, 724075, 190, -1357, 318, 1357, 333, -169883, 783, 169883, 751, -815606, 372, 815606, 66, -113490, 238, 113490, 654, -119619, 239, 119619, 203, -917111, 22, 917111, 951, -586420, 673, 586420, 599, -713123, 998, 713123, 133, -752639, 605, 752639, 270, -708596, 746, 708596, 576, -259059, 37, 259059, 400, -314135, 853, 314135, 596, -496940, 468, 496940, 480, -339500, 814, 339500, 716, -680039, 453, 680039, 861, -536349, 755, 536349, 42, -696474, 501, 696474, 656, -303275, 514, 303275, 849, -662105, 655, 662105, 193, -713943, 669, 713943, 600, -376995, 10, 376995, 833, -25303, 795, 25303, 780, -430158, 600, 430158, 961, -633593, 200, 633593, 168, -722949, 673, 722949, 244, -360544, 894, 360544, 675, -670638, 619, 670638, 96, -78332, 247, 78332, 661, -456591, 666, 456591, 653, -990433, 374, 990433, 23, -720646, 379, 720646, 908, -937688, 815, 937688, 992, -446056, 654, 446056, 69, -720883, 388, 720883, 696, -81621, 873, 81621, 577, -349314, 225, 349314, 962, -989319, 828, 989319, 55, -435617, 741, 435617, 194, -675271, 897, 675271, 340, -934319, 219, 934319, 799, -445778, 109, 445778, 36, -355669, 397, 355669, 20, -490628, 988, 490628, 284, -319287, 446, 319287, 837, -539913, 184, 539913, 237, -500892, 525, 500892, 335, -953433, 883, 953433, 260, -576207, 990, 576207, 921, -491208, 23, 491208, 568, -646495, 744, 646495, 443, -285971, 284, 285971, 834, -437691, 882, 437691, 451, -219669, 884, 219669, 473, -954716, 322, 954716, 673, -387947, 818, 387947, 219, -380657, 633, 380657, 510, -917763, 387, 917763, 523, -169539, 43, 169539, 708, -50053, 901, 50053, 245, -370936, 255, 370936, 264, -936268, 122, 936268, 95, -624931, 873, 624931, 404, -692914, 878, 692914, 272, -495235, 378, 495235, 698, -770156, 255, 770156, 333, -648159, 732, 648159, 856, -762839, 814, 762839, 523, -50233, 151, 50233, 166, -887303, 135, 887303, 474, -291334, 433, 291334, 580, -582060, 500, 582060, 684, -740814, 802, 740814, 128, -239627, 82, 239627, 983, -338186, 277, 338186, 831, -327174, 963, 327174, 972, -229837, 236, 229837, 409, -43076, 295, 43076, 299, -527249, 40, 527249, 562, -158148, 286, 158148, 860, -525833, 83, 525833, 59, -551114, 951, 551114, 230, -808152, 920, 808152, 223, -230894, 393, 230894, 650, -395959, 35, 395959, 428, -238191, 525, 238191, 148, -143704, 796, 143704, 432, -829109, 413, 829109, 384, -594140, 178, 594140, 180, -456910, 410, 456910, 136, -849270, 824, 849270, 416, -304185, 686, 304185, 854, -605533, 512, 605533, 917, -914069, 937, 914069, 582, -153618, 368, 153618, 852, -828860, 818, 828860, 960, -887281, 355, 887281, 1, 320940, -128024, -320940}

Returns: 989484725
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Returns: 513779568
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Returns: 312719109
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Returns: 274573458
{-8,-16,6,1,2,1,-6,1,3,1,-3,1,2,1,-1,1,-2,1,1,2,7,1,-7,1,5,1,11,1,-14,1,4,1}

Returns: 39964
{-7,-4,-1,-1,-1,1,-1,1,-1,-1,-1,1,-1,-1,-1,-2,-3,1,2,2,-1,-1,-1,3,4,-1,5,1,-2,1,-8,-4,-1,-1,-1,2,-1,-1,-1,1,-2,-1,1,-1,1,-1,-3,2,-1,1,-1,1,1,1,3,-1,2,1,2,1,-9,-7,20,1,3,-1,12,1,-2,3,2,1,-3,-1,-2,-3,-3,1,1,2,-2,-2,-2,2,-1,-2,-1,3,9,1,-3,1}

Returns: 200650
{-5,-5,-5,5,-5,-10,15,10}

Returns: 70000
{-77,-44,-11,-11,-11,11,-11,11,-11,-11,-11,11,-11,-11,-11,-22,-33,11,22,22,-11,-11,-11,33,44,-11,55,11,-22,11,-88,-44,-11,-11,-11,22,-11,-11,-11,11,-22,-11,11,-11,11,-11,-33,22,-11,11,-11,11,11,11,33,-11,22,11,22,11,-99,-77,220,11,33,-11,132,11,-22,33,22,11,-33,-11,-22,-33,-33,11,11,22,-22,-22,-22,22,-11,-22,-11,33,99,11,-33,11}

Returns: 536347500
{-1,-3,-1,1,-2,-2,-1,2,-1,-3,-1,1,-2,-1,-1,-2,-1,1,-1,1,-1,-3,-1,-1,-1,-1,2,-4,1,-1,1,1,2,-1,2,-1,-1,-2,2,1,1,-1,1,1,1,-1,1,1,1,1,1,1,2,1,1,2,1,3,-1,3,-1,1,1,2,-1,-1,-1,2,-1,2}

Returns: 192758
{-1,-1,-3,-1,2,-1,1,-1,-2,-1,-1,1,-2,2,-1,-2,-1,-1,-2,-2,1,-1,-1,-1,1,-1,-1,-1,-1,1,-1,-2,1,-2,1,-2,2,-3,1,-1,-1,-1,-1,-1,2,-1,1,-2,2,-1,1,-1,3,1,2,1,2,1,2,2,2,1,1,1,2,2,1,1,1,1,-1,2,-1,2,-1,2,-1,1,-1,1,-2,1,1,2,-2,2,-3,1,-1,1,-1,1}

Returns: 1077180
{-1,-2,-1,1,-1,-1,-1,1,-1,-2,-1,1,-1,-2,-2,1,-1,-1,-1,-2,-2,1,-1,-1,-4,-1,-1,-2,-1,-2,-1,-1,-2,-4,-1,-1,-1,-1,1,-1,1,1,1,-4,1,-1,1,-1,2,-3,-1,-1,1,-2,1,-1,-1,-1,1,-1,1,-2,5,-3,2,-1,1,1,1,-2,2,2,1,-1,1,1,1,-1,1,2,1,-1,1,-1,1,2,1,2,1,-1,2,2,2,3,1,1,1,-1,1,1,2,2,3,3,1,1,1,1,-2,1,-2,1,-1,1,-1,4,-1,-1,-1,3,-2,3,-1,5,-1,1,-2,-1,-1,1,-1,3,-1,1,-1,1}

Returns: 10489646
{-2,-1,-5,-1,-1,-1,1,-1,-1,-2,1,-2,-1,-1,-1,-1,-2,-2,-1,-2,-1,-1,-1,2,-1,-2,-1,-1,1,-2,1,-1,-2,-2,1,-1,-1,-1,1,-1,2,-1,-1,-1,1,-3,1,-1,3,-1,1,-1,4,-1,3,-1,1,-1,1,-1,2,-2,1,2,3,-1,1,-1,1,-1,4,2,3,1,2,4,2,-1,1,1,1,3,1,3,1,4,1,1,-2,1,-2,2,-1,2,-1,-1,-1,1,-1,2,1,1,-2,2,-2,-1,-1,2,2,1,-3,1,-1,2,-1,1,-1,2,-3,2,-1,-1,-1,-1,-1,1,-3,2}

Returns: 10603386
{-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,1,-1,-2,-1,1,-1,-1,-1,-1,-1,-2,-3,-1,-1,-1,1,-1,1,-1,-1,-1,-1,-2,-2,-1,-1,-1,-1,-2,1,-1,-2,-1,-5,-2,2,-2,-1,-2,-1,-1,-1,-1,1,-2,-1,-2,2,-2,-1,-1,-1,-3,-1,-1,1,-2,-1,-1,-1,-2,1,-1,1,-1,1,-1,1,-1,2,-1,-1,-2,2,-1,1,-2,1,-1,2,-1,3,1,1,-3,2,-1,1,-1,1,-1,2,1,3,-1,-1,-1,-1,-1,1,-1,2,-1,1,2,1,-1,4,-1,2,-1,1,-1,4,1,2,1,1,-1,2,1,3,2,2,1,-1,1,1,1,-2,1,1,1,1,1,2,1,-1,3,1,1,1,-1,1,1,1,1,1,2,1,1,3,2,1,1,2,1,2,1,-1,3,-1,3,1,2,-1,3,1,2,1,1,-1,1,-1,1,2,2,-1,4,-1,-1,-1,6,-1,1,-1,1,-3,2,-1,2,-1,2,-1,2,-1,3,-1,-3,-1,1,-1,-1,-1,1,-1,2,-1,1,-1,1,-1,-1,-2,2,-1,-1,-1,2,-1,-1,-1,-1,-1,-1,-2,1,-1,-1,-3,1,-1,1,1,1,-2,1}

Returns: 161921290
{-4,-1,-1,-1,-3,-1,-1,-1,-2,-1,-2,-3,-2,1,-4,-1,-1,1,-1,-1,-1,-1,1,-1,-1,-1,1,-1,-1,-1,-1,-1,-1,-2,-2,-1,1,-1,1,-1,-1,-2,-2,1,-4,-1,2,-2,-2,-1,-1,-1,-1,-1,-1,-1,1,-1,-1,-2,1,-1,-1,-1,-3,-1,-2,-1,1,-2,1,-1,-3,-1,-1,-2,1,-3,1,-4,-1,-1,1,-1,-1,-2,1,-1,1,-1,1,-4,2,-2,-1,-1,1,-1,1,1,2,-1,-1,-1,-1,-1,1,-1,-1,-1,1,-2,1,-2,2,-1,1,-1,-1,-1,3,-1,1,-1,1,-1,1,-1,2,-4,2,-2,2,1,1,-2,2,1,1,-1,1,-1,1,-1,-1,-2,1,-1,1,1,2,1,1,1,3,-1,1,-1,2,-2,2,1,1,1,2,2,1,2,1,-1,1,-2,1,3,1,-1,5,2,-1,1,1,1,1,-2,1,-1,1,2,2,1,1,-1,1,2,1,2,1,1,1,1,5,1,-1,1,2,2,1,1,1,2,1,1,1,1,1,4,1,-1,2,2,-1,3,2,1,2,1,1,2,1,1,-1,4,-1,-1,-1,2,1,2,-2,2,-1,4,-1,1,1,1,2,1,-2,1,-1,1,-1,3,1,1,-1,4,-1,1,-1,1,1,1,-2,1,-2,2,-2,1,2,1,-3,2,-1,2,-2,1,2,1,-1,1,-2,2,-3,3,-2,1,-2,4,-2,-1,-1,-1,-1,-1,-1,1,-1,1,-1,-1,-1,1,-2,-1,-1,1,-1,1,-1,1,-2,-1,-1,-1,-1,2,1,1}

Returns: 579315396
{-1,-1,-1,1,-1,-2,-1,1,-1,1,-1,-1,-1,1,-2,-1,-1,-2,-1,-1,-1,-1,1,-1,-2,1,-1,1,1,1,-3,1,-1,-1,-1,-2,-1,-2,-2,1,-1,-1,-1,-1,-1,1,-1,-1,-3,1,-1,-1,-1,-2,-2,1,1,1,-1,2,-1,-3,-2,-1,-1,1,-1,1,-2,-1,-1,1,-1,-1,-2,-1,-2,-6,-1,-1,-1,-2,-1,1,-1,-2,-1,-1,-2,-1,-1,-1,-3,-1,-1,-1,-1,-2,-2,-2,-1,-2,-1,-1,-2,-1,-1,-1,-1,-2,1,-2,-1,-3,-2,-2,-1,-1,-1,-1,1,-1,-1,-2,-1,-1,-1,-2,1,-1,-1,-1,1,-1,1,-1,-1,-1,-1,-2,1,-3,1,-1,1,-1,-1,-1,2,-5,-2,-1,3,-1,-1,-2,1,-6,1,-1,1,-1,1,-1,2,-1,1,-1,2,-3,-2,-1,2,-1,2,-1,1,-1,-1,-1,2,-1,1,1,1,-1,2,-1,-1,-2,1,-2,1,-1,2,-1,1,-1,1,-1,1,-3,3,1,2,-4,1,-1,1,2,1,-1,1,-1,1,-3,1,-1,1,1,2,-1,-1,-1,1,-1,1,1,1,-1,1,1,2,1,1,1,1,1,1,-2,2,1,3,1,1,-1,3,-1,5,-2,1,-1,1,-1,4,1,2,1,1,2,1,-1,7,1,1,1,1,1,1,-1,1,1,1,1,-1,1,4,1,-2,4,3,-1,3,1,2,1,1,-3,1,-1,1,3,-1,1,1,2,2,1,-2,1,1,2,-1,1,1,1,3,1,1,1,2,1,1,2,1,1,-1,2,2,1,1,-1,2,2,1,1,-1,1,1,1,1,1,-2,1,1,1,1,5,2,1,1,1,-1,2,-1,1,2,3,2,3,-1,-1,-1,2,3,1,-1,1,2,2,1,1,1,1,2,1,-1,1,-1,1,1,1,-1,1,-1,1,-1,-1,-1,2,-1,1,1,1,1,1,-1,1,-1,1,-2,1,1,1,-1,3,1,1,-1,1,-1,3,-1,2,-3,2,-2,3,2,1,-2,1,-2,1,1,1,-1,1,-1,-1,-2,1,-2,1,-2,2,1,1,-1,1,-1,1,-2,1,-1,1,-1,-2,-2,1,-2,1,-1,2,-3,2,-1,1,-1,2,-1,2,1,1,-2,1,-1,1,-1,-2,-1,-1,-1,1,-3,-1,-2,1,-1,1,1,1,-1,2}

Returns: 266150124
{-1,-1,-1,1,-2,-1,1,-1,1,-1,-1,-1,-1,1,-2,-2,-1,1,-1,2,-2,-2,-2,1,-1,-1,-1,-1,-2,-1,-1,-1,-1,-1,-2,2,-1,1,-1,-2,1,-1,-1,-1,-1,-1,-3,-1,-2,-1,2,-1,-2,-1,-2,-1,-2,-4,-2,-1,-1,1,-1,-2,-1,1,-1,-2,-1,-3,-1,2,-1,-1,-1,-2,-1,1,-2,-1,-2,-2,-1,-1,-1,-3,-3,-1,1,-1,-1,-2,-1,-1,-1,-2,-1,-1,2,-2,-1,-5,-1,1,-1,-2,2,-1,-1,-2,-1,-1,1,-1,-3,-4,-2,-1,-1,-2,1,-1,-1,-1,-2,-1,1,-2,-1,-1,-1,1,-1,-1,-1,-1,-1,-2,2,-1,-2,-2,1,-1,-1,-1,1,-2,1,-1,1,-1,-1,-4,1,-2,1,-1,2,-2,-2,-1,1,-1,1,-1,1,1,2,-1,-1,-6,1,-1,1,-1,2,-3,-1,-1,-1,-1,1,-1,-1,-1,2,-1,2,-1,1,-1,1,-1,2,-1,-1,-1,1,-2,3,-2,3,-1,1,-2,1,-1,5,-2,2,-1,1,-1,1,-1,2,-5,1,1,1,2,1,-3,2,1,1,-1,3,-2,1,-3,1,2,1,-1,1,1,4,-1,1,-2,3,1,2,1,1,1,1,3,2,-2,1,1,2,-1,2,-1,-1,-1,2,-1,1,-2,1,-1,1,1,1,-1,1,1,1,-1,2,-1,2,2,1,-2,1,2,3,1,5,1,1,-2,2,-1,1,2,1,-2,1,2,1,-1,1,1,1,1,1,1,1,1,1,1,1,-1,1,2,-1,2,2,1,1,1,4,2,1,-1,1,2,2,2,3,3,-1,1,-2,1,2,1,1,2,2,-1,1,3,1,1,1,1,1,2,1,1,-1,1,1,1,2,1,2,1,3,2,1,1,2,1,2,1,1,1,1,1,1,1,1,1,-1,1,-1,4,-1,1,1,4,2,1,-1,1,-3,3,-1,1,1,1,-1,2,1,1,2,2,1,1,2,1,-2,1,-3,1,1,1,1,7,1,1,1,1,1,2,-1,2,1,-1,1,2,-2,1,-1,1,-1,1,-1,-1,-1,1,-1,2,-1,1,-1,-1,-1,2,-3,1,1,1,-1,1,1,2,-1,1,-1,3,-1,3,-1,2,1,1,-1,2,-1,1,-5,1,-1,3,-1,1,2,1,-1,3,-1,-1,-1,-2,-1,2,-1,1,-1,2,-1,-1,-1,3,-3,1,-4,1,-1,-1,-2,2,-1,2,-1,3,-1,-2,-1,1,-1,1,1,1,-2,1,-1,-1,-1,2,-3,-1,1,-1,-3,-1,-1,1,-4,-1,-3,1,-1,1,-1,1,-2,-1,-1,1,-1,-1,-1,3,-2,-2,-3,1,-1,1,-1,1}

Returns: 569768325
{-142856,-142856,-142856,142856,-285712,-142856,142856,-142856,142856,-142856,-142856,-142856,-142856,142856,-285712,-285712,-142856,142856,-142856,285712,-285712,-285712,-285712,142856,-142856,-142856,-142856,-142856,-285712,-142856,-142856,-142856,-142856,-142856,-285712,285712,-142856,142856,-142856,-285712,142856,-142856,-142856,-142856,-142856,-142856,-428568,-142856,-285712,-142856,285712,-142856,-285712,-142856,-285712,-142856,-285712,-571424,-285712,-142856,-142856,142856,-142856,-285712,-142856,142856,-142856,-285712,-142856,-428568,-142856,285712,-142856,-142856,-142856,-285712,-142856,142856,-285712,-142856,-285712,-285712,-142856,-142856,-142856,-428568,-428568,-142856,142856,-142856,-142856,-285712,-142856,-142856,-142856,-285712,-142856,-142856,285712,-285712,-142856,-714280,-142856,142856,-142856,-285712,285712,-142856,-142856,-285712,-142856,-142856,142856,-142856,-428568,-571424,-285712,-142856,-142856,-285712,142856,-142856,-142856,-142856,-285712,-142856,142856,-285712,-142856,-142856,-142856,142856,-142856,-142856,-142856,-142856,-142856,-285712,285712,-142856,-285712,-285712,142856,-142856,-142856,-142856,142856,-285712,142856,-142856,142856,-142856,-142856,-571424,142856,-285712,142856,-142856,285712,-285712,-285712,-142856,142856,-142856,142856,-142856,142856,142856,285712,-142856,-142856,-857136,142856,-142856,142856,-142856,285712,-428568,-142856,-142856,-142856,-142856,142856,-142856,-142856,-142856,285712,-142856,285712,-142856,142856,-142856,142856,-142856,285712,-142856,-142856,-142856,142856,-285712,428568,-285712,428568,-142856,142856,-285712,142856,-142856,714280,-285712,285712,-142856,142856,-142856,142856,-142856,285712,-714280,142856,142856,142856,285712,142856,-428568,285712,142856,142856,-142856,428568,-285712,142856,-428568,142856,285712,142856,-142856,142856,142856,571424,-142856,142856,-285712,428568,142856,285712,142856,142856,142856,142856,428568,285712,-285712,142856,142856,285712,-142856,285712,-142856,-142856,-142856,285712,-142856,142856,-285712,142856,-142856,142856,142856,142856,-142856,142856,142856,142856,-142856,285712,-142856,285712,285712,142856,-285712,142856,285712,428568,142856,714280,142856,142856,-285712,285712,-142856,142856,285712,142856,-285712,142856,285712,142856,-142856,142856,142856,142856,142856,142856,142856,142856,142856,142856,142856,142856,-142856,142856,285712,-142856,285712,285712,142856,142856,142856,571424,285712,142856,-142856,142856,285712,285712,285712,428568,428568,-142856,142856,-285712,142856,285712,142856,142856,285712,285712,-142856,142856,428568,142856,142856,142856,142856,142856,285712,142856,142856,-142856,142856,142856,142856,285712,142856,285712,142856,428568,285712,142856,142856,285712,142856,285712,142856,142856,142856,142856,142856,142856,142856,142856,142856,-142856,142856,-142856,571424,-142856,142856,142856,571424,285712,142856,-142856,142856,-428568,428568,-142856,142856,142856,142856,-142856,285712,142856,142856,285712,285712,142856,142856,285712,142856,-285712,142856,-428568,142856,142856,142856,142856,999992,142856,142856,142856,142856,142856,285712,-142856,285712,142856,-142856,142856,285712,-285712,142856,-142856,142856,-142856,142856,-142856,-142856,-142856,142856,-142856,285712,-142856,142856,-142856,-142856,-142856,285712,-428568,142856,142856,142856,-142856,142856,142856,285712,-142856,142856,-142856,428568,-142856,428568,-142856,285712,142856,142856,-142856,285712,-142856,142856,-714280,142856,-142856,428568,-142856,142856,285712,142856,-142856,428568,-142856,-142856,-142856,-285712,-142856,285712,-142856,142856,-142856,285712,-142856,-142856,-142856,428568,-428568,142856,-571424,142856,-142856,-142856,-285712,285712,-142856,285712,-142856,428568,-142856,-285712,-142856,142856,-142856,142856,142856,142856,-285712,142856,-142856,-142856,-142856,285712,-428568,-142856,142856,-142856,-428568,-142856,-142856,142856,-571424,-142856,-428568,142856,-142856,142856,-142856,142856,-285712,-142856,-142856,142856,-142856,-142856,-142856,428568,-285712,-285712,-428568,142856,-142856,142856,-142856,142856}

Returns: 717515526
{-1,-1,-1,1,-2,-1,1,-1,1,-1,-1,-1,-1,1,-2,-2,-1,1,-1,2,-2,-2,-2,1,-1,-1,-1,-1,-2,-1,-1,-1,-1,-1,-2,2,-1,1,-1,-2,1,-1,-1,-1,-1,-1,-3,-1,-2,-1,2,-1,-2,-1,-2,-1,-2,-4,-2,-1,-1,1,-1,-2,-1,1,-1,-2,-1,-3,-1,2,-1,-1,-1,-2,-1,1,-2,-1,-2,-2,-1,-1,-1,-3,-3,-1,1,-1,-1,-2,-1,-1,-1,-2,-1,-1,2,-2,-1,-5,-1,1,-1,-2,2,-1,-1,-2,-1,-1,1,-1,-3,-4,-2,-1,-1,-2,1,-1,-1,-1,-2,-1,1,-2,-1,-1,-1,1,-1,-1,-1,-1,-1,-2,2,-1,-2,-2,1,-1,-1,-1,1,-2,1,-1,1,-1,-1,-4,1,-2,1,-1,2,-2,-2,-1,1,-1,1,-1,1,1,2,-1,-1,-6,1,-1,1,-1,2,-3,-1,-1,-1,-1,1,-1,-1,-1,2,-1,2,-1,1,-1,1,-1,2,-1,-1,-1,1,-2,3,-2,3,-1,1,-2,1,-1,5,-2,2,-1,1,-1,1,-1,2,-5,1,1,1,2,1,-3,2,1,1,-1,3,-2,1,-3,1,2,1,-1,1,1,4,-1,1,-2,3,1,2,1,1,1,1,3,2,-2,1,1,2,-1,2,-1,-1,-1,2,-1,1,-2,1,-1,1,1,1,-1,1,1,1,-1,2,-1,2,2,1,-2,1,2,3,1,5,1,1,-2,2,-1,1,2,1,-2,1,2,1,-1,1,1,1,1,1,1,1,1,1,1,1,-1,1,2,-1,2,2,1,1,1,4,2,1,-1,1,2,2,2,3,3,-1,1,-2,1,2,1,1,2,2,-1,1,3,1,1,1,1,1,2,1,1,-1,1,1,1,2,1,2,1,3,2,1,1,2,1,2,1,1,1,1,1,1,1,1,1,-1,1,-1,4,-1,1,1,4,2,1,-1,1,-3,3,-1,1,1,1,-1,2,1,1,2,2,1,1,2,1,-2,1,-3,1,1,1,1,7,1,1,1,1,1,2,-1,2,1,-1,1,2,-2,1,-1,1,-1,1,-1,-1,-1,1,-1,2,-1,1,-1,-1,-1,2,-3,1,1,1,-1,1,1,2,-1,1,-1,3,-1,3,-1,2,1,1,-1,2,-1,1,-5,1,-1,3,-1,1,2,1,-1,3,-1,-1,-1,-2,-1,2,-1,1,-1,2,-1,-1,-1,3,-3,1,-4,1,-1,-1,-2,2,-1,2,-1,3,-1,-2,-1,1,-1,1,1,1,-2,1,-1,-1,-1,2,-3,-1,1,-1,-3,-1,-1,1,-4,-1,-3,1,-1,1,-1,1,-2,-1,-1,1,-1,-1,-1,3,-2,-2,-3,1,-1,1,-1,1}

Returns: 569768325
{-1,-2,-2,-1,-1,-1,-4,1,1,1,-3,-1,-1,-1,-1,2,-1,-1,-1,1,-1,-3,-1,-1,-1,-1,-1,-1,-4,-2,-2,-1,1,-1,-2,-2,1,-1,-4,1,-1,1,-1,-1,-1,-1,-2,-2,-2,1,-3,-1,-1,-1,-1,-2,1,-1,-1,-1,1,-1,-1,-1,1,-1,1,-1,-3,-1,-1,-1,-1,-1,-1,1,-1,-1,-1,-1,1,-1,-1,-3,-1,-2,1,-1,-1,-1,-1,-1,-2,-4,-2,-4,1,-1,2,-2,-1,1,-1,-1,-2,-1,-2,-1,-1,1,-1,-2,-1,-3,-1,-1,1,-1,1,-1,-1,-2,1,-1,-1,-1,-1,-2,-1,-2,1,-2,2,-1,-1,-1,1,-1,1,-2,-2,-4,1,-2,1,-1,-1,-1,-1,-1,1,-1,1,-2,1,-6,1,-2,1,-3,1,-1,2,1,1,-2,1,-1,1,-2,-1,-2,1,-1,1,-1,-1,-1,1,-2,1,-2,-1,-2,-1,-3,2,1,1,-1,3,-2,1,1,1,-1,1,-1,1,1,3,1,1,-2,1,-3,-1,-1,1,-2,-1,-1,2,-1,1,-2,1,-1,1,-1,1,1,2,-1,1,-1,1,1,1,-1,1,-1,2,-2,1,1,1,-1,1,-2,1,-1,2,-2,4,-1,1,2,1,-1,1,-1,1,-2,1,-1,1,1,1,-1,1,-2,2,1,1,1,1,2,1,1,1,-3,2,1,2,-1,-1,-2,14,1,-1,2,1,1,1,2,2,-1,1,-1,1,1,1,1,4,2,1,-2,1,1,2,1,1,3,1,1,2,1,1,-2,1,-2,1,2,1,1,1,1,1,1,1,1,-1,1,6,1,1,1,1,-2,1,2,2,1,1,1,1,-1,1,1,1,1,1,3,-1,4,1,5,2,1,2,1,1,3,1,1,1,2,1,4,1,2,-2,1,2,2,3,1,1,1,2,2,1,1,-1,2,1,3,1,1,-1,2,1,1,1,-1,1,1,1,1,-1,1,1,1,-1,1,1,3,-1,2,1,1,-3,3,-1,2,1,1,-3,1,1,2,-1,1,-1,1,2,-1,1,3,-1,2,-1,1,1,1,-1,1,-1,1,-1,1,2,1,-1,1,-1,-1,-1,2,-1,1,1,1,-1,2,1,1,-2,-1,-1,3,-1,1,-1,2,-2,1,-1,2,-2,1,-1,1,-1,2,3,2,1,1,-1,1,-1,1,1,1,-1,1,-1,4,1,1,-2,1,-2,-1,-4,1,-2,1,1,1,-2,4,-2,1,-3,1,-1,2,-1,-1,-1,1,-1,2,-1,1,-4,-1,-1,-1,-7,1,-3,1,-2,-2,-1,2,-1,1,-1,-2,-1,-1,-1,-1,-1,1,-1,2,-3,-1,-1,1,-2,-1,-3,1,-1,-1,-1,1,-2,2,-1,1,-2,1,-1,1,-1,1}

Returns: 992826779
{-2,-2,-1,1,-1,-3,-3,-1,-2,1,-1,3,-1,-1,-1,-1,-2,-1,-2,1,-1,1,-1,1,-1,1,-2,-2,-1,-2,-1,1,-1,-1,-1,3,-3,-1,2,-1,-1,-1,-1,-1,-2,-1,-1,-1,-2,-2,-1,-1,-1,1,-1,1,-1,1,1,1,-1,1,-1,-2,-1,1,-1,1,-1,-3,1,-1,-1,-2,-2,-1,-1,-2,-2,-1,-1,-1,-1,-1,-2,-1,1,-1,-1,-1,-1,1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-2,-1,1,-2,-1,-1,-1,-2,-1,-1,-1,2,-1,-1,-1,-1,1,-1,-1,-1,-1,1,-4,-2,1,-1,-1,-1,-2,1,-1,1,-1,-1,-4,-1,-1,-2,1,-1,-2,-2,-1,-4,-1,1,-1,-2,-1,2,-2,-1,-1,-1,-1,-1,-1,-1,-1,-1,-3,1,-1,1,-3,1,-4,1,-1,-1,-2,1,-1,-1,-1,1,-1,1,-1,-1,-1,1,-1,-1,-1,-3,-1,-1,-2,1,-1,1,-1,1,-1,1,-1,1,-1,-1,-3,1,-1,1,-1,1,2,1,-2,2,-5,-1,-1,2,-1,-1,-3,-1,-2,-1,-1,2,1,2,-3,-1,-4,1,-2,1,-1,1,-1,1,-4,1,-1,2,-1,1,-2,1,-1,2,-1,-1,-2,1,-1,1,-1,1,-1,-1,-1,4,1,1,-3,1,1,2,-1,2,1,3,-1,2,-1,1,-1,1,-1,3,-2,2,-2,2,1,1,1,2,-3,1,1,1,1,1,-2,1,-1,1,-1,1,-1,6,-1,1,-1,1,1,1,1,3,1,1,-2,-1,-1,3,1,2,2,1,1,1,-2,1,1,1,1,1,-1,1,1,1,-1,2,1,2,-1,2,1,2,1,1,1,2,1,1,1,1,-1,1,2,1,1,1,1,3,-1,1,-1,1,2,2,-1,2,2,2,1,3,2,2,2,5,1,-1,1,1,1,1,1,1,-1,1,3,-1,2,2,2,2,-1,1,2,1,-1,1,2,1,2,1,2,1,1,3,-1,1,1,1,1,-1,1,1,2,-1,3,1,3,1,2,1,1,1,1,-2,1,-1,1,1,2,-1,2,1,2,1,2,-1,1,1,2,1,1,2,4,1,-1,1,3,-2,1,1,2,1,1,-1,1,-1,2,-2,5,1,1,1,1,-1,1,2,2,-2,1,1,3,-1,1,-1,-1,-2,2,1,4,-1,1,1,1,-1,1,1,2,-2,-1,-1,2,1,2,1,1,-1,1,-1,1,-2,-1,-2,1,1,1,1,3,-2,2,1,2,1,2,-1,1,1,1,-3,1,1,1,-1,1,-1,-1,-1,3,-1,1,-2,-1,-1,-1,-1,1,-4,1,1,2,-4,-1,-1,1,-1,1,-1,1,-1,-1,-1,1,-1,1,2,2,2,1,-4,2,-1,1,-2,-1,-1,1,-1,1,-2,-1,-1,1,-2,2,-1,1,1,1,-1,1,-1,-1,-3,-1,-1,1,-1,-2,-2,1,-1,-2,-1,1,-1,1,-2,1,-3,3}

Returns: 995435030
{-1,-1,-1,-1,-3,-1,-2,-1,-1,1,-3,-1,-1,-1,-1,-2,-1,-1,-1,-1,-2,-1,-1,1,-1,-2,-2,-1,-3,-1,-1,-1,-1,-1,-2,-2,-3,-1,-1,-2,-1,-1,-1,1,-1,-1,-1,-2,-2,-3,-1,-1,-1,-1,2,-1,-1,-2,-1,1,-2,-4,-1,1,-1,-1,-2,-3,1,-1,-1,-1,-1,-1,-1,-3,-3,-1,-2,-1,-2,-2,1,-1,-1,-2,1,-2,-1,-1,-1,2,-1,-3,-3,-1,-1,-5,1,-3,1,-1,1,-1,1,-3,-1,-2,1,-1,-1,-3,-1,-1,-1,-1,-1,-1,1,-2,1,-1,1,-1,-3,-11,1,-2,2,-1,1,-1,2,2,3,-2,1,-1,1,-2,1,-2,1,-3,1,-1,1,-2,1,-2,1,-1,1,-1,-1,-1,1,-1,2,-1,1,1,3,-1,1,-1,2,-4,1,-1,1,-2,1,-1,-1,-1,1,-2,-1,-1,1,-1,1,1,3,-1,1,-1,-1,-1,2,-2,-1,-1,2,-1,1,1,1,-1,1,-1,1,-2,2,-2,1,-1,1,-1,-1,-1,2,-2,-1,-1,4,1,1,-1,2,2,-1,1,1,1,2,-1,1,-1,-1,-2,3,1,3,1,-1,2,3,-1,4,-1,1,1,1,2,1,-1,3,1,2,2,1,-1,2,1,1,-2,1,-1,1,-1,2,-1,1,-1,1,1,2,2,1,1,2,1,3,-1,1,-1,4,1,-1,2,1,1,2,1,2,1,2,1,1,1,1,1,1,1,-2,1,3,1,3,3,1,-1,3,1,1,1,1,1,-1,1,1,2,1,1,4,2,1,-2,1,2,1,1,2,1,-1,1,-2,1,1,1,2,2,2,3,1,-4,1,4,1,-1,2,2,2,-2,1,1,2,3,1,1,1,1,2,1,1,2,-1,1,-1,1,-1,1,1,2,1,1,-2,2,-1,1,2,1,-1,1,1,2,1,2,1,1,-2,1,-1,2,-2,2,2,2,1,5,-1,1,1,2,-1,2,1,1,-1,2,1,2,-2,3,-2,1,1,3,-1,1,-2,1,-1,1,1,2,1,1,-1,1,1,6,-1,2,-1,-1,-1,-1,-1,1,-1,1,-1,4,-3,1,1,1,-1,2,-2,1,1,1,1,1,-1,2,-1,2,-1,-1,-1,2,-1,-2,-1,2,-2,1,-1,2,-4,1,-2,1,-1,1,-1,1,-1,2,-1,-1,-1,1,-1,1,-1,2,-1,2,-1,2,-1,-1,-1,1,-1,-1,-1,-1,-1,6,-1,-1,-2,1,-1,-1,-1,-1,-1,-3,-1,1,-1,1,-1,-1,-4,-1,-3,4,-2,1,-1,1,-1,-1,-1,-1,-1,1,-2,1,-1,-1,-2,1,-1,-1,-6,-1,-1,1,-1,1,-1,3}

Returns: 994835491
{-1,-2,-2,1,-1,-1,-1,1,-1,-3,-2,1,-1,-1,-1,1,-3,1,-2,1,-4,-2,-1,1,-1,1,-2,-1,-1,1,-1,-2,-1,2,-1,-1,-1,1,-2,-1,1,-1,-4,2,-1,-1,-1,-1,-1,-1,1,-1,-2,1,-2,-3,-3,-3,-1,-1,-1,-1,-1,-1,-1,2,-3,-1,-1,1,-1,-2,-1,1,-1,-1,-2,1,-1,1,-3,-1,-1,1,-1,-5,-1,-2,-2,-1,-1,-1,1,-1,-3,-3,-2,-1,-1,-2,1,-1,1,-1,-2,1,-1,1,-1,-1,-1,1,-2,-1,-1,-1,-1,-1,-1,-1,-1,-1,2,-2,-1,-1,1,-1,-1,-1,-1,-2,-1,-1,1,-2,-2,-1,-2,-3,-1,-1,-1,-1,-1,-1,2,-1,-1,-1,1,-1,1,1,1,-3,1,-1,-1,-2,1,-1,-1,-5,-1,-1,-3,-3,-2,-2,1,-1,1,-3,1,-1,2,-1,1,-1,-1,-4,1,-1,-1,-1,1,-1,-3,-1,1,-2,1,-1,2,-1,-1,-1,1,-5,1,-2,1,-2,1,-2,1,-1,2,-2,1,-1,3,-3,1,-2,1,-1,1,-1,1,-2,2,1,1,-1,1,-4,1,-2,-1,-1,1,-2,1,-1,2,1,1,-1,1,-1,1,-1,1,-1,1,-1,1,1,1,-1,2,1,1,1,3,1,1,1,1,-2,1,-1,1,1,1,-1,1,-1,1,-2,3,1,1,1,1,-1,1,1,1,-3,2,-2,2,-1,1,2,1,-1,2,-1,-2,-1,2,-1,1,-1,1,1,2,-1,-1,-1,1,-1,1,3,1,1,4,1,1,-2,2,-1,1,1,5,-2,3,1,1,-2,1,2,2,1,1,-1,1,1,1,2,2,-1,1,2,2,-1,2,1,1,-1,3,1,2,1,1,-1,1,1,2,-1,1,5,1,1,2,2,1,1,1,2,2,1,3,1,3,3,2,-1,1,1,1,2,3,-1,1,2,1,-2,2,3,1,1,1,1,-2,1,-1,1,1,1,1,1,-1,1,3,2,1,1,1,2,1,1,1,4,1,1,1,3,-1,1,1,1,1,1,-1,1,-1,1,1,1,2,1,1,3,2,3,1,1,-3,4,2,1,-1,1,-2,1,1,2,-1,1,-1,1,2,3,-1,4,-2,-1,-1,1,-2,1,-1,1,2,1,1,1,-2,1,-1,-1,-1,1,-1,1,1,3,1,1,-1,1,-1,1,-1,2,-1,1,-1,1,2,1,-2,1,-1,1,-2,2,1,1,-1,2,-1,1,-1,1,-1,2,-2,1,-1,1,-1,5,-1,-2,-1,1,-1,1,-2,1,1,2,1,-1,1,1,1,1,1,1,-3,1,1,1,1,1,-2,2,-1,-2,-1,-1,-1,1,-1,1,1,1,-2,1,-3,1,-3,-1,-3,1,-2,1,1,1,-2,1,1,2,-2,-1,-1,1,-1,1,-1,-3,1,-1,-3,1,-1,-1,-4,1,-2,2,1,1,-1,1,-2,1,-1,2,1,1,-2,1}

Returns: 4403277
{-16,-8,-8,-8,-8,-16,-8,-24,-16,-8,8,-8,16,-8,-8,-8,8,-8,16,-8,8,16,16,-8,8,-8,16,8,-8,8,16,16,8,16,-16,8,8,8,-8,16,-8,8,-16,8,-8,8}

Returns: 131843577
{-4,-2,-2,-2,-8,-2,4,-6,-2,-2,-2,-6,-2,-2,2,-2,2,-2,8,2,6,2,4,4,4,2,-2,2,-2,4,-2,8,-2,-4,-2,6}

Returns: 1122872
{-8,-4,-4,-12,-4,4,-4,-12,-8,-4,-4,-4,8,-4,-4,-4,4,-4,8,4,8,-4,4,-8,4,4,20,12,-4,4,4,12,-4,4,-4,4,-4,8,-8,4}

Returns: 35843904
{-10,-10,-5,-5,-5,10,-10,5,-5,-20,-5,-5,-5,-10,5,-5,5,-10,5,5,5,-10,5,-5,5,5,5,-5,5,5,20,10,-5,10,5,10,-5,5,5,10,-5,5,-10,5}

Returns: 109199000
{-7,-7,-7,-14,-14,14,-21,-7,-14,-14,-7,-7,-7,-7,7,-7,-7,-7,7,-7,7,-7,-7,-7,7,-7,7,14,14,-7,7,-7,7,7,7,-7,7,-7,7,14,7,7,-7,7,7,14,7,7,7,7,-7,7,7,7,-14,21}

Returns: 592835026
{-4,-4,-4,-4,-4,-4,-8,-4,-4,-4,-4,-8,-8,-4,-4,-4,4,-4,-8,-4,4,-12,4,-4,4,-4,4,-8,8,-4,4,4,8,-8,4,-12,4,8,8,4,-4,4,-4,4,4,4,4,4,-4,4,12,8,4,8,-4,8,4,4,-4,16,-4,8,-4,4,-8,4}

Returns: 199174848
{-10,-10,-10,-10,-10,-10,-20,-10,-10,-10,-10,-20,-20,-10,-10,-10,10,-10,-20,-10,10,-30,10,-10,10,-10,10,-20,20,-10,10,10,20,-20,10,-30,10,20,20,10,-10,10,-10,10,10,10,10,10,-10,10,30,20,10,20,-10,20,10,10,-10,40,-10,20,-10,10,-20,10}

Returns: 451740867
{-30,-6,-6,-12,18,-24,12,-12,-12,-6,-6,-6,6,-6,-12,-6,6,-18,6,-6,6,-6,6,-12,12,-6,6,6,12,-12,6,-18,6,12,12,6,-6,6,-6,6,6,6,6,6,-6,6,18,6,36,12,6,6,-18,-6,6,-6,-24,12,-6,12,6,6,-6,6,24,6,-24,12,-6,12,30,6,-6,12,-18,-12,-24,6,-6,-6,-6,-6,-6,-6,-12,-6,-18,24,-12,6,24,6}

Returns: 766743482
{-30,-6,-6,-12,18,-24,12,-12,-12,-6,-6,-6,6,-6,-12,-6,6,-18,6,-6,-42,-6,54,-12,-54,-12,54,6,30,-6,6,-18,6,12,12,6,-6,6,-6,6,6,6,6,6,-6,6,18,6,36,12,6,6,-18,-6,6,-6,-24,12,-6,12,6,6,-6,6,24,6,-24,12,-6,12,30,6,-6,12,-18,-12,-24,6,-6,-6,-6,-6,-6,-6,-12,-6,-18,24,-12,6,24,6}

Returns: 849774315
{-555550,-111110,-111110,-222220,333330,-444440,222220,-222220,-222220,-111110,-111110,-111110,111110,-111110,-222220,-111110,111110,-333330,111110,-111110,-777770,-111110,999990,-222220,-999990,-222220,999990,111110,555550,-111110,111110,-333330,111110,222220,222220,111110,-111110,111110,-111110,111110,111110,111110,111110,111110,-111110,111110,333330,111110,666660,222220,111110,111110,-333330,-111110,111110,-111110,-444440,222220,-111110,222220,111110,111110,-111110,111110,444440,111110,-444440,222220,-111110,222220,555550,111110,-111110,222220,-333330,-222220,-444440,111110,-111110,-111110,-111110,-111110,-111110,-111110,-222220,-111110,-333330,444440,-222220,111110,444440,111110}

Returns: 557496478
{-3,-6,-3,-3,3,-3,-3,-6,3,-3,3,-3,3,-3,3,-3,3,-3,3,3,3,-3,3,6,3,3,3,3,-3,6,3,6,-3,6,-6,-3,-6,3,-9,3}

Returns: 3652083
{-333332,-666664,-333332,-333332,-333332,-333332,-999996,-333332,-999996,-333332,333332,-666664,666664,-333332,333332,-333332,333332,333332,333332,-333332,333332,-333332,666664,-333332,333332,666664,666664,333332,-666664,666664,333332,333332,333332,666664,333332,333332,-333332,333332,-333332,-333332,-333332,333332,-333332,666664}

Returns: 743205721
{-10,-20,-10,20,-20,-10,10,-30,10,-50,10,-10,10,10,10,10,10,20,10,-10,50,10,10,10,-10,10,10,10,-20,20,-50,-10,-10,10,-10,10}

Returns: 563829993
{-260960,-260960,-65240,-65240,-65240,65240,-130480,-130480,-65240,-65240,65240,-65240,130480,-65240,65240,-65240,65240,65240,65240,-65240,65240,-65240,65240,195720,195720,65240,65240,130480,-65240,195720,-130480,130480}

Returns: 117458615
{-10,-10,-20,-10,-10,-20,-10,-10,-10,-40,20,-10,50,20,10,10,20,10,10,10,-10,20,-10,20,-30,10}

Returns: 478109993
{-3,-6,-3,-3,-3,3,-3,-6,-6,-3,-3,-3,3,-6,3,-6,3,-3,6,-3,3,3,3,3,6,9,3,15,-6,3,-3,3}

Returns: 3470310
{-157982,-157982,-78991,-157982,-78991,-157982,-78991,-78991,78991,-157982,78991,78991,78991,-78991,78991,-157982,394955,315964,78991,78991,78991,157982,-157982,78991,-157982,78991,-78991,78991,-78991,78991}

Returns: 4449462
{-1,-1,-2,-1,-1,1,-1,-1,-1,-1,1,-2,-1,-3,1,-1,-1,-1,2,-1,2,1,1,1,3,2,2,2,-1,1,-1,3,-2,1}

Returns: 14688
{-2,-1,-1,-3,-3,-1,-1,-3,-1,-1,2,-1,1,-1,1,2,1,-1,2,1,2,1,2,1,1,2,-1,1,-1,2,-1,1,-1,1}

Returns: 14656
{-20,-10,-10,-20,-10,-20,-10,-20,20,-20,20,-10,20,-10,10,10,10,10,10,20,20,10,10,10,-30,30,-30,10,-10,10}

Returns: 429578993
{-147589,-147589,-147589,147589,-295178,-147589,-147589,147589,-147589,-442767,-147589,-295178,-147589,-147589,295178,-147589,147589,-147589,147589,-147589,147589,-147589,147589,-147589,147589,147589,147589,442767,295178,147589,147589,442767,-147589,147589,-147589,147589,-147589,147589}

Returns: 645842114
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Returns: 14200
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Returns: 716012256
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Returns: 830062996
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Returns: 16384512
{-249999,-249999,-499998,-249999,-249999,-249999,-499998,249999,-249999,-249999,-249999,-499998,-249999,-249999,-249999,-499998,249999,249999,499998,-499998,499998,-249999,749997,249999,999996,249999,-499998,249999,249999,749997,249999,499998,-499998,499998}

Returns: 586200373
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Returns: 14340
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Returns: 14871
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Returns: 496278016
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Returns: 14404
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Returns: 42601662
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Returns: 314532070
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Returns: 300420428
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Returns: 117269896
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Returns: 290622952
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Returns: 256007070
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Returns: 132936042
{-241042,-120521,-241042,-120521,-602605,120521,-120521,120521,-482084,-120521,-120521,-120521,-120521,-120521,-120521,120521,-602605,-120521,-120521,-120521,-361563,-120521,-120521,120521,-241042,-120521,-120521,-361563,-241042,-120521,-120521,120521,-241042,-120521,-120521,-482084,-120521,-120521,-120521,-241042,120521,-241042,120521,-120521,-120521,-120521,-120521,-120521,-120521,-120521,-120521,-723126,-120521,-241042,241042,-120521,-120521,-241042,-120521,-120521,-120521,-241042,-241042,-120521,241042,-120521,120521,-120521,-120521,-120521,120521,-120521,120521,120521,120521,-361563,120521,-120521,-120521,-361563,120521,-241042,-120521,-241042,120521,-120521,120521,-120521,241042,-241042,120521,-241042,120521,-120521,241042,-120521,241042,-120521,361563,-241042,120521,-120521,120521,-120521,-120521,-120521,120521,-120521,120521,120521,120521,120521,120521,-120521,120521,-120521,120521,-120521,120521,120521,482084,120521,241042,120521,241042,120521,120521,120521,120521,-120521,120521,241042,241042,-120521,120521,-241042,120521,-120521,241042,120521,482084,-120521,241042,120521,120521,241042,361563,120521,241042,120521,120521,120521,120521,120521,120521,241042,-120521,120521,361563,120521,361563,-120521,120521,241042,120521,361563,241042,361563,120521,120521,-120521,120521,120521,241042,120521,120521,-120521,241042,-120521,241042,120521,120521,120521,482084,120521,120521,-120521,120521,-120521,120521,482084,120521,-120521,241042,-120521,-120521,-120521,241042,120521,241042,-241042,241042,-120521,120521,-120521,120521,-120521,120521,-120521,241042,120521,241042,-120521,120521,-361563,241042,-361563,120521,-120521,-120521,-120521,241042,120521,241042,-120521,120521,-120521,241042,-241042,120521,-241042,120521,-241042,120521,-361563,120521,-241042,120521}

Returns: 521627616
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Returns: 517459006
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Returns: 829786358
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Returns: 807844432
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Returns: 657940801
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Returns: 687242670
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Returns: 294932094
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Returns: 56802910
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Returns: 287850136
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Returns: 490479164
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Returns: 521524874
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Returns: 229274
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Returns: 917038307
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Returns: 126208607
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Returns: 108894132
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Returns: 357801927
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Returns: 528059026
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Returns: 898466670
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Returns: 734767745
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Returns: 790637472
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Returns: 619298230
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Returns: 834513036
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Returns: 642879416
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Returns: 444922643
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Returns: 922513046
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Returns: 251658226
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Returns: 610867197
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Returns: 968918425
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Returns: 1472162
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Returns: 336257076
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Returns: 830673087
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Returns: 149995734
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Returns: 855285848

Statistics

Problem Statement for "SimpleMaze"

Problem Statement

Definition

Constraints

Examples