TopCoder Statistics - Problem Statement

Problem Statement

This problem has a nonstandard time limit: 4 seconds.

There is an infinite white bitmap. You are supposed to execute a series of n instructions. Each instruction will paint some of the pixels of the bitmap black. Your task is to count and return the number of black pixels at the end of the whole process.

Each instruction has five arguments: x1, y1, x2, y2, and p. The first four values are coordinates; they satisfy x1 <= x2 and y1 <= y2. The value p is a 16-bit integer that is interpreted as a 4x4 boolean array P in x-major order: P[x,y] corresponds to the bit 4*x+y of p (with bit 0 being the least significant bit of p). For example, p=2^8 represents an array in which only P[2,0] is true and all other cells are false.

The instruction repeatedly prints the pattern described by P onto the rectangle described by the other four arguments. In particular, the instruction is executed as follows:

xsize = x2 - x1 + 1
ysize = y2 - y1 + 1
for dx = 0 .. xsize-1:
    for dy = 0 .. ysize-1:
        if P[dx mod 4, dy mod 4]:
            paint the pixel (x1 + dx, y1 + dy) black

The first length(x1) instructions are given in the int[]s x1, y1, x2, y2, and p: for each valid i, the parameters of one instruction are the i-th elements of each array. To keep the input size small, the rest of the input is pseudorandomly generated. Starting from state = seed, execute the following pseudocode n-length(x1) times, always generating one new instruction.

state = (state * 1103515245 + 12345) mod 2^31
x1 = state
state = (state * 1103515245 + 12345) mod 2^31
y1 = state
state = (state * 1103515245 + 12345) mod 2^31
x2 = state
state = (state * 1103515245 + 12345) mod 2^31
y2 = state
state = (state * 1103515245 + 12345) mod 2^31
p = state mod 2^16
if x1 > x2: swap(x1,x2)
if y1 > y2: swap(y1,y2)
execute the instruction with parameters x1, y1, x2, y2, p

Definition

Class:: PaintByPatterns
Method:: countBlack
Parameters:: int, int[], int[], int[], int[], int[], int
Returns:: long
Method signature:: long countBlack(int n, int[] x1, int[] y1, int[] x2, int[] y2, int[] p, int seed)
(be sure your method is public)

Constraints

n will be between 1 and 2,000, inclusive.
x1 will have between 0 and min(n,200) elements, inclusive.
y1, x2, y1, and p will each have the same number of elements as x1.
For each valid i: 0 <= x1[i] <= x2[i] <= (2^31)-1.
For each valid i: 0 <= y1[i] <= y2[i] <= (2^31)-1.
For each valid i: p[i] will be between 0 and (2^16)-1, inclusive.
seed will be between 0 and (2^31)-1, inclusive.

Examples

1

{10}

{20}

{30}

{50}

{65535}

47

Returns: 651

The value p[0] represents a full bitmap, hence the instruction will paint its entire rectangle black. The rectangle is formed by pixels (x,y) such that 10 <= x <= 30 and 20 <= y <= 50. Hence, the rectangle consists of 21 * 31 = 651 black pixels.
2

{10, 0}

{20, 30}

{30, 40}

{50, 40}

{65535, 65535}

47

Returns: 871

Two overlapping black rectangles.
2

{10, 0}

{20, 30}

{30, 40}

{50, 40}

{42405, 42405}

47

Returns: 436

Two overlapping rectangles with the same checkerboard pattern.
2

{10, 0}

{20, 30}

{30, 40}

{50, 40}

{42405, 23130}

47

Returns: 551

The same two rectangles but now one uses the opposite checkerboard pattern.
3

{}

{}

{}

{}

{}

474747

Returns: 848809312519167942

Three large random rectangles. Their values (x1,y1,x2,y2,p) are as follows: 1353942 1069631319 1178682520 1916843249 4676 44630515 9075810 1377480493 1434455728 4393 55535068 1040160485 429391022 1363659343 13754
2000

{}

{}

{}

{}

{}

5

Returns: 4575703724820799609
1

{0}

{0}

{2147483647}

{2147483647}

{65535}

1

Returns: 4611686018427387904
200

{47224005, 52669103, 35407527, 70232056, 96198169, 16844269, 87081599, 81155443, 64954137, 84209166, 2038795, 49067130, 28368893, 17163264, 35818037, 49559704, 26997684, 72939857, 50832165, 32093869, 45998526, 40642777, 61909895, 94590808, 62083898, 85635188, 5487650, 69909065, 98296089, 72342234, 46946838, 38886335, 90529042, 56739590, 16622633, 67559244, 79807188, 82273548, 61971410, 75187658, 98062723, 73887346, 80038296, 53300118, 33889451, 80738913, 75451237, 81956371, 14323034, 10733634, 16904724, 73719571, 13678799, 42859586, 90756995, 80486102, 58673997, 62921786, 72466983, 6303157, 25799989, 60048900, 14870741, 97181005, 3221379, 96981157, 35810061, 26501644, 71444601, 90329819, 2759091, 4686051, 37212615, 80723519, 97780732, 13183411, 4090766, 56766071, 72328673, 79168756, 69592065, 80234059, 82776590, 81277825, 46101444, 83716823, 88517692, 34948077, 96260543, 88209385, 37870412, 14967811, 85746941, 51053985, 62935916, 36734602, 50444773, 82986214, 79459879, 27917454, 66464845, 40399213, 73556780, 12223541, 71916385, 41393864, 61367738, 58575557, 25421405, 46077115, 21098241, 93214165, 37886047, 82127838, 24479370, 3309000, 71080466, 98520747, 90288549, 72540129, 25992990, 70477890, 32821437, 84123478, 22095954, 38399131, 13238668, 32654559, 3528678, 93832216, 53879251, 28875190, 30880381, 24042221, 41160975, 50792226, 33890637, 18864940, 72749992, 9082697, 46474643, 6435761, 24774063, 42963531, 20267984, 69367842, 27827118, 1633476, 34904608, 73934927, 30540260, 27082090, 62562693, 25953203, 69766020, 83846025, 66892076, 93466803, 20522651, 50234264, 18033284, 70092522, 12643573, 70402504, 2645080, 84864774, 64628965, 68423126, 23059832, 21955546, 78181250, 27856604, 2217799, 48157524, 16545129, 57157890, 30932724, 81325068, 98817302, 44655024, 76610935, 56973190, 29253899, 2342350, 37409897, 74324575, 32587304, 23791567, 49335711, 71472611, 87954015, 28013516, 50816972, 33549923, 4724499, 32139231, 78736964, 48997866, 89537781, 56796267}

{8391987, 82619242, 64632919, 68981568, 92288291, 44819066, 30461759, 47385436, 41903666, 27794650, 22856691, 4453564, 46434549, 13209403, 59582023, 2781207, 66396815, 45411576, 16528643, 82228712, 74695083, 75741864, 87637823, 65793833, 3032521, 73137984, 35334372, 95168578, 84895099, 48334821, 78226603, 28079335, 7351251, 61391545, 22783175, 76540062, 79094864, 24355392, 23610326, 52225846, 16439563, 13993922, 12579539, 10011290, 65157510, 30096827, 8381712, 63627775, 45345459, 19020632, 79069079, 85971375, 4803151, 96019159, 55447174, 57515834, 99157014, 99513897, 66246522, 81152274, 74559429, 82704361, 56724222, 75825963, 52763044, 83836383, 8637806, 39824229, 50018929, 86767497, 41737903, 74444561, 90612558, 95873573, 96681296, 95067240, 77190178, 57396028, 86085568, 32410075, 17083629, 72741307, 65005466, 24626484, 50323602, 70644949, 14447777, 47142936, 43416699, 14970267, 89157366, 19660471, 85789200, 23077054, 43860528, 80164503, 49961969, 27844510, 24571698, 5082319, 10394047, 29571858, 11982556, 92895445, 89162968, 98078748, 67654565, 69292496, 32115048, 79447465, 88685916, 60405525, 93321445, 51345526, 48676541, 47721424, 31684557, 54008913, 60687384, 65161464, 74794119, 15640101, 92471755, 12627576, 10567492, 5633170, 40056536, 95523645, 41481724, 65352501, 68082086, 42299317, 5835281, 23731186, 5091696, 51616755, 53771090, 12049731, 3406923, 91088262, 11220011, 34956360, 53255869, 20566771, 52484824, 19561671, 14267461, 45019076, 71579896, 93692364, 92082757, 56998457, 31115966, 52458205, 1575338, 29853716, 53677647, 70352157, 7086106, 82333472, 48245462, 8436779, 47064180, 82317328, 13183587, 94030744, 64350659, 29529257, 26590170, 39137983, 57474427, 64706466, 44529605, 64867480, 34725087, 86104665, 97179605, 85598925, 67941603, 89173994, 42629374, 22387634, 3846367, 16468753, 30083256, 3918250, 47874063, 7939531, 99876253, 62500498, 7009557, 34856408, 78030071, 64719693, 43429355, 64709306, 44711157, 21209979, 45732538, 78436153}

{47224012, 108843598, 77763625, 70232063, 96198174, 65543645, 87081602, 81155446, 64954141, 84209173, 12052076, 49067137, 28368895, 115198509, 123411931, 49559704, 26997684, 156429763, 62722343, 105903990, 61379239, 40642779, 61909895, 127490216, 152135459, 160823788, 5487656, 69909070, 112077650, 84848700, 99541050, 38886339, 168413783, 56739594, 16622638, 67559249, 79807190, 147363014, 61971410, 126776879, 98062724, 163158079, 80038301, 148961548, 81826152, 148894367, 75451239, 161025050, 35405279, 107206909, 16904729, 164865415, 88718076, 42859591, 90756995, 139420266, 103463078, 62921787, 72466985, 6303157, 75376678, 159597645, 14870746, 97181008, 59231155, 96981164, 63287991, 41827530, 71444604, 90329824, 84494079, 56151304, 37212620, 80723519, 97780733, 13183417, 20999824, 56766077, 72328677, 88631712, 69592071, 111268966, 82776597, 138715891, 46101448, 83716825, 137878916, 118269834, 131917685, 177999028, 99699117, 90749380, 171226613, 51053987, 97679590, 36734603, 89493815, 82986221, 79459884, 27917457, 66464845, 40399216, 73556784, 12223548, 71916392, 41393868, 130210702, 140440787, 29364849, 46077117, 21098242, 93214166, 131748191, 82127845, 65951345, 87913010, 71080473, 98520749, 165167155, 93817875, 25992994, 104600666, 32821438, 84123480, 29584553, 38399133, 92785409, 114335632, 6942371, 154031315, 77551959, 28875194, 30880385, 24042228, 123105604, 121937231, 33890642, 18864943, 72749998, 41684859, 46474647, 6435764, 24774066, 42963538, 50037979, 69367846, 94854641, 1633482, 112888410, 78513466, 30540263, 89305945, 62562693, 123192605, 69766027, 113039981, 66892078, 93466804, 27608994, 50234267, 37511262, 102422681, 12643573, 70402506, 54240441, 84864774, 64628965, 68423133, 23059832, 21955553, 78181250, 101878892, 2217806, 85531024, 16545136, 149627566, 58572883, 147093003, 98817304, 44655026, 157800813, 70501536, 81157801, 47139249, 44313589, 107085413, 32587307, 23791571, 49335713, 106316805, 87954021, 28013517, 50816975, 110623128, 36299515, 32139233, 78736964, 83502039, 89537783, 56796270}

{8391991, 96370633, 64632922, 73446201, 124315216, 44819070, 30461760, 47385441, 123285893, 27794652, 22856698, 4453564, 109489091, 13209409, 115157563, 27098670, 89901328, 141007207, 16528643, 82228713, 74695089, 143907733, 87637824, 65793838, 3032528, 164352332, 132296235, 95168584, 84895105, 48334826, 78226607, 28079342, 7351251, 61391546, 22783181, 158263821, 79094864, 24355392, 123367167, 52225853, 72849998, 13993929, 12579542, 10011295, 118112674, 30096831, 8381715, 63627778, 77421453, 29386784, 134724709, 85971376, 49122847, 96019166, 99260438, 70440113, 188932757, 126170610, 105045468, 115536414, 74559431, 82704365, 56724226, 75825969, 52763045, 92621597, 65290890, 73527131, 50018935, 86767497, 112100000, 74444564, 99372526, 95873580, 96681302, 134754368, 88773641, 78064065, 96163038, 50794503, 17083629, 93077122, 65005472, 24626491, 50323608, 70644955, 14447779, 102483309, 43416704, 98378434, 89157368, 92124500, 91265410, 77117382, 62450534, 80164508, 49961974, 27844511, 24571699, 96746997, 24678467, 58323303, 11982561, 108661214, 97130770, 108268684, 67654569, 69292499, 32115052, 79447470, 141148977, 60405529, 93321446, 51345528, 77747385, 47721428, 42786339, 60170405, 133771662, 102153338, 74794123, 20027220, 92471758, 12627581, 91616084, 65982480, 40056538, 95523649, 41481726, 114950684, 149017267, 42299318, 45534993, 23731190, 5091702, 51616762, 104517161, 12524197, 3406926, 173013271, 11220016, 105843273, 53255871, 58912024, 64058642, 33867801, 14267465, 56822473, 104590232, 96873450, 157666322, 61770577, 31115967, 84613869, 1575342, 95786621, 53677652, 70352163, 7086110, 113986660, 100607743, 8436786, 47064184, 82317330, 13183590, 167840580, 64350662, 115427654, 100198776, 39137983, 65606112, 136330344, 44529606, 64867487, 100760417, 135859621, 97179606, 90671482, 67941608, 146652595, 42629374, 36246537, 12443941, 110698075, 30083258, 3918251, 88889067, 7939536, 125446673, 62500505, 17188984, 114794745, 78030075, 64719699, 59063171, 158810964, 44711162, 85968742, 45732539, 84624221}

{50666, 82, 31161, 49042, 4624, 12726, 54612, 5257, 14933, 58181, 57096, 31853, 26040, 14166, 8803, 64354, 19735, 8026, 40326, 64389, 46365, 15344, 37700, 21878, 36279, 37624, 14291, 26852, 43614, 6585, 27605, 41609, 3607, 39724, 30737, 49718, 23807, 29415, 9540, 48916, 53995, 57573, 41469, 13741, 10659, 14907, 53001, 49034, 24015, 12148, 38649, 41176, 11913, 57152, 6431, 43865, 53578, 3457, 9514, 45176, 26528, 55283, 5950, 7664, 45239, 62018, 61950, 27918, 5024, 14324, 440, 11766, 39851, 53315, 48955, 3904, 998, 49245, 5193, 16074, 21942, 37373, 58944, 53482, 4660, 13283, 143, 63036, 53575, 30214, 47310, 41994, 47905, 7034, 27296, 15679, 5023, 19170, 38609, 64533, 54960, 29295, 15564, 11356, 41807, 33562, 41748, 23261, 26025, 24222, 60845, 43749, 33479, 31726, 62084, 54499, 17056, 52655, 58766, 41747, 44172, 18074, 42403, 18287, 13457, 36148, 17859, 59554, 35220, 32422, 6577, 39684, 59831, 6787, 19184, 23907, 57069, 33689, 33239, 46213, 26787, 40063, 21161, 34262, 38019, 28950, 33468, 43199, 65178, 41122, 48560, 53306, 64304, 64519, 49221, 57807, 1694, 34337, 23101, 13906, 35464, 34428, 60939, 27252, 20686, 31243, 42553, 22256, 58697, 21863, 13349, 15749, 15335, 24331, 4295, 25712, 38089, 19688, 19249, 53311, 13711, 10019, 63114, 17247, 54937, 46419, 5838, 6173, 3160, 702, 44814, 59065, 59979, 25990, 35885, 1083, 48839, 61196, 58369, 20558}

35749792

Returns: 20559877810014473
2000

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821399375

Returns: 4572914027594306862
200

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939017740

Returns: 22671052208719105
2000

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181393542

Returns: 4564562351435190398
200

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287995108

Returns: 21467125437407035
2000

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660347460

Returns: 4567121694355905937
200

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1430915

Returns: 23674254930399725
2000

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757034207

Returns: 4568266952761946400
200

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227048010

Returns: 24573173391685223
2000

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746102171

Returns: 4570620313739825266
200

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52557375

Returns: 20689369535008802
2000

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281408003

Returns: 4566945217636933115
200

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711984687

Returns: 22223756703062223
2000

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575881403

Returns: 4560711325406067026
200

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671900144

Returns: 21581273681480604
2000

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641519127

Returns: 4575597621806121685
200

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587955876

Returns: 24840219473045022
2000

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689958335

Returns: 4573191344852956323
200

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688949162

Returns: 18117326064460954
2000

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{11387351, 99053965, 54042120, 98465845, 51849861, 89277038, 3117459, 19710877, 14095890, 78808072, 46349938, 79818569, 29333720, 31358607, 4692719, 71776162, 53238939, 26894192, 71298594, 92210429, 48870759, 7477474, 7362904, 78242952, 71558154, 53432772, 38915173, 30363442, 42466051, 19467969, 50201043, 38287234, 64793047, 50948309, 23869910, 3675784, 24726436, 78623222, 32167339, 21922872, 81147560, 74645567, 48173818, 47600100, 99775629, 42611838, 44462654, 94987695, 49483619, 98558162, 40737988, 20639011, 82708642, 16168720, 82482249, 21115783, 43343412, 59892069, 52715244, 45430811, 14731687, 33853304, 66019007, 78452322, 45248422, 51671527, 2863083, 19630191, 4263228, 6940325, 158097, 16972314, 9453405, 58973380, 23768397, 69382051, 69352343, 91030556, 83596557, 43720620, 10950736, 40867594, 19109912, 1982346, 64538034, 87983817, 38741668, 71213800, 19270284, 60197331, 88350297, 43756334, 41277798, 20603414, 9980476, 67186060, 36358268, 22638974, 89800952, 711921, 35439194, 41794253, 27994712, 42404501, 87772109, 58237738, 67088404, 97232404, 2203740, 18228206, 66082840, 95646355, 9475114, 75861017, 67164485, 48800924, 17525322, 29623930, 80484535, 59219065, 89595414, 16515514, 34741746, 85682981, 62958841, 96735919, 76149877, 77488526, 14283508, 50947981, 90040519, 71677861, 30092993, 19581377, 26277086, 37104831, 71007037, 65320686, 29573980, 39945803, 78803912, 69420259, 66733870, 37118530, 9592418, 80510438, 93285672, 51540568, 20165870, 22024761, 1937367, 34424351, 63418869, 58633902, 36465429, 83248152, 68575162, 77023381, 66230228, 28462655, 71061407, 64156930, 16688243, 95950131, 5749703, 12444100, 99588084, 91039471, 42691598, 12554320, 33827050, 36226985, 59011205, 66091013, 46156575, 35919704, 59886331, 52948630, 93552924, 19135384, 97401341, 56856410, 66324273, 950179, 22069282, 55323249, 1378254, 38313813, 12221260, 16002417, 73121467, 42251436, 30041098, 12661061, 68692072, 45338404, 4341595, 4671812, 5605065, 84864066}

{2414296, 55291839, 74514579, 34169720, 95353966, 95216472, 80927166, 62078806, 43926816, 71096655, 145438614, 85122252, 77836984, 20858441, 115033198, 40594649, 42493172, 69245317, 117058426, 20129414, 103054222, 141171491, 21238175, 133735065, 71981040, 41812365, 21029231, 76277429, 98710081, 4977712, 30041257, 137141583, 95368184, 89754055, 7756943, 48202300, 102930692, 90180786, 111069416, 40684548, 98411968, 99638662, 104998422, 101893840, 45137430, 54985907, 55027442, 7115988, 18644768, 6354217, 56274535, 80922819, 119583400, 111531004, 36480737, 161666389, 140344993, 108740073, 162493478, 7270983, 135272721, 91424897, 97626723, 178907385, 37177220, 60094184, 87373999, 49040052, 114495384, 184948118, 176370231, 72287426, 80155748, 80760319, 68732876, 25879968, 33650597, 137105194, 73698388, 36960217, 18444380, 52334169, 157366756, 11999476, 76082162, 183241058, 15743108, 91368139, 106484426, 45066009, 59417875, 51341725, 31496999, 68791663, 78627357, 173286461, 124172458, 59254311, 107659842, 143937356, 32207457, 49336475, 107275918, 32289051, 87038443, 106976385, 27750616, 10215281, 34815624, 6995848, 38330499, 7436593, 90743660, 16250650, 29752384, 38444929, 120396174, 79461719, 96517336, 64680305, 32739380, 175075007, 37864142, 130131281, 42899730, 119770825, 52684544, 114383070, 1902508, 167256226, 9702551, 59200130, 30187869, 17216403, 67561002, 69580622, 90892321, 119756511, 42499881, 94003802, 10296202, 26663706, 52493170, 134001954, 24078100, 31351083, 63993238, 51488346, 34131633, 15220025, 83151689, 177296850, 16784182, 13048996, 91170269, 64989111, 34268319, 45281773, 23533112, 9945290, 57354714, 72062098, 137152042, 14846013, 66169424, 121368046, 95616687, 134840668, 43658556, 89599169, 49325326, 19491586, 94994492, 93789754, 70074445, 119031904, 23077451, 107524759, 3949898, 66049951, 97197875, 47014872, 54443483, 86396044, 82473387, 61957408, 43974911, 5730156, 62415300, 48901321, 2113025, 51560290, 16781760, 163891394, 13466995, 46076679, 111167595, 72912404, 53631290, 60040721}

{11387353, 131266947, 54042121, 98465851, 118592683, 89277045, 13429102, 19710883, 14095894, 78808077, 128099954, 79818572, 29333723, 31358612, 4692726, 123033914, 53238945, 44095638, 71298598, 92210435, 48870760, 7477476, 10851226, 78242957, 129988852, 53432776, 95719421, 32731584, 42466053, 117177869, 50201045, 82931481, 112060141, 50948312, 23869916, 3675788, 25596740, 78623227, 32167343, 21922879, 81147567, 98051377, 48173822, 47600100, 118309671, 124958522, 111056107, 124415151, 63331900, 98558169, 128555291, 21688030, 162765292, 82710437, 107086132, 21115788, 43343419, 59892076, 109534486, 45430812, 76619105, 33853310, 110855082, 78452328, 45248423, 67185440, 2863086, 19630194, 4263231, 6940325, 158103, 102253764, 102167162, 58973384, 23768399, 79841108, 133281678, 144688406, 83596559, 73613861, 86062360, 104405479, 19109915, 1982346, 64538041, 87983819, 38741668, 71213802, 105073274, 60197336, 88350299, 45569416, 127350073, 60772298, 9980480, 67186067, 69047833, 22638981, 89800952, 711926, 56585249, 68975076, 47835372, 42404508, 158386135, 58237739, 67088405, 97928611, 2203742, 18228208, 66082840, 136927539, 27785490, 162049643, 67164488, 48800926, 17525323, 29623931, 80484540, 59219071, 163594708, 16515519, 95262118, 87954495, 62958841, 96735925, 76149882, 82228203, 14283514, 68217216, 90040525, 71677868, 30092997, 114495763, 114158223, 37104838, 71007041, 163094652, 29573986, 39945805, 78803914, 109937756, 105472633, 37118532, 9592421, 80510444, 93285674, 116134245, 118869332, 33535297, 89100460, 34424354, 68700156, 58633902, 36465431, 174256895, 127517439, 77023385, 110155100, 44377068, 71061411, 64156932, 74718663, 106628777, 5749703, 12444104, 158430678, 167775067, 42691598, 12554325, 33827053, 123656997, 59011205, 85131318, 46156580, 35919708, 59886336, 52948636, 93552930, 19135384, 183572032, 56856412, 66324275, 950183, 23358318, 108157058, 15747356, 74556924, 41836893, 16002420, 73121467, 42251443, 106839225, 12661061, 125083763, 45338410, 4341602, 63948859, 5605067, 125449637}

{42599, 29297, 16082, 46870, 16012, 38181, 37513, 25954, 6600, 57746, 54823, 35042, 29465, 14349, 13188, 56152, 54064, 19658, 54681, 63447, 28779, 37382, 1905, 4797, 22979, 50729, 21854, 64604, 10954, 15830, 6942, 31518, 60945, 37543, 57382, 13813, 38456, 11791, 431, 34033, 4686, 5641, 18434, 58287, 2576, 18984, 14608, 2520, 55123, 23451, 12901, 1763, 45913, 60737, 11502, 62663, 34906, 37833, 62666, 49075, 14804, 7864, 20472, 18842, 57761, 40734, 34999, 17197, 33518, 29588, 50584, 30206, 27937, 22671, 55222, 7728, 55096, 50125, 64732, 34657, 55134, 5092, 31445, 53601, 1660, 65443, 57358, 46593, 45034, 31542, 52936, 24948, 51786, 29356, 43040, 15840, 15494, 57927, 26568, 30406, 26353, 54270, 25788, 28093, 40635, 33138, 36013, 31768, 10142, 24105, 13361, 51780, 65026, 39888, 6567, 45538, 38981, 17939, 35609, 49683, 38069, 9710, 19305, 2915, 42196, 17340, 28098, 60400, 53078, 7268, 28064, 47996, 58860, 969, 15920, 38572, 29516, 25379, 9219, 22380, 62194, 20829, 11955, 58386, 26945, 10249, 38738, 4096, 13492, 5585, 27164, 22303, 10385, 64350, 41796, 38974, 28206, 33234, 61825, 52807, 20136, 17308, 7087, 24484, 6743, 49499, 56374, 9013, 43177, 63609, 46573, 35707, 35325, 37847, 45984, 30957, 15783, 41348, 9963, 24192, 35173, 28357, 12591, 45015, 42789, 27973, 65290, 24317, 57867, 45105, 46890, 14981, 3138, 38144, 59761, 31073, 15988, 65165, 7348, 24901}

937316477

Returns: 4565960645978082424
2000

{}

{}

{}

{}

{}

894275837

Returns: 4567014727807874775
2000

{}

{}

{}

{}

{}

893261234

Returns: 4568297769709875646
2000

{}

{}

{}

{}

{}

762894601

Returns: 4571776528092475370
2000

{}

{}

{}

{}

{}

308945158

Returns: 4573225951771926404
2000

{}

{}

{}

{}

{}

227846816

Returns: 4569374601287248581
2000

{}

{}

{}

{}

{}

854805843

Returns: 4553695030050862110
2000

{}

{}

{}

{}

{}

829725163

Returns: 4580970726612096227
2000

{}

{}

{}

{}

{}

330639785

Returns: 4574077706037440791
2000

{}

{}

{}

{}

{}

713244072

Returns: 4575657818024989221
2000

{}

{}

{}

{}

{}

693021094

Returns: 4574156388869389601
2000

{}

{}

{}

{}

{}

668961001

Returns: 4568554880297496069
2000

{}

{}

{}

{}

{}

336899541

Returns: 4568505014647428859
2000

{}

{}

{}

{}

{}

200305643

Returns: 4566470478550591013
2000

{}

{}

{}

{}

{}

967983155

Returns: 4571761659352593523
2000

{}

{}

{}

{}

{}

528002992

Returns: 4570817992482750672
2000

{}

{}

{}

{}

{}

374120991

Returns: 4567671917108538774
2000

{}

{}

{}

{}

{}

717697508

Returns: 4568442548513216338
2000

{}

{}

{}

{}

{}

801970458

Returns: 4558042252935927958
2000

{}

{}

{}

{}

{}

216372479

Returns: 4574268641669277933
2000

{}

{}

{}

{}

{}

956266390

Returns: 4566068642053660226
2000

{}

{}

{}

{}

{}

375398339

Returns: 4565863831474650832
2000

{}

{}

{}

{}

{}

26229069

Returns: 4576863772526321623
2000

{}

{}

{}

{}

{}

183650517

Returns: 4562726840445143214
2000

{}

{}

{}

{}

{}

891704461

Returns: 4580608891985816067
2000

{}

{}

{}

{}

{}

399727520

Returns: 4576050938178828252
2000

{}

{}

{}

{}

{}

723303265

Returns: 4579122705765947464
2000

{}

{}

{}

{}

{}

780964534

Returns: 4567555005074514496
2000

{}

{}

{}

{}

{}

816602319

Returns: 4560005390163214114
2000

{}

{}

{}

{}

{}

460426739

Returns: 4575731849957967651
2000

{}

{}

{}

{}

{}

835674026

Returns: 4581410199419104512
2000

{}

{}

{}

{}

{}

728985509

Returns: 4581229683461274878
2000

{}

{}

{}

{}

{}

657364207

Returns: 4576514616447957940
2000

{}

{}

{}

{}

{}

71205336

Returns: 4569169787482538269
2000

{}

{}

{}

{}

{}

489093893

Returns: 4573019574886396901
2000

{}

{}

{}

{}

{}

773033933

Returns: 4574174091089841890
2000

{}

{}

{}

{}

{}

21592833

Returns: 4571816855529162624
2000

{}

{}

{}

{}

{}

890698200

Returns: 4571776237069444227
2000

{}

{}

{}

{}

{}

96604129

Returns: 4566923940366454157
2000

{}

{}

{}

{}

{}

988908261

Returns: 4569490988210495449
2000

{}

{}

{}

{}

{}

783438428

Returns: 4576034611461307335
2000

{}

{}

{}

{}

{}

255962575

Returns: 4575610352763669476
2000

{}

{}

{}

{}

{}

352206305

Returns: 4576122654368448504
2000

{}

{}

{}

{}

{}

558298786

Returns: 4558881801554922068
2000

{}

{}

{}

{}

{}

192209523

Returns: 4575112566482331250
2000

{}

{}

{}

{}

{}

453915536

Returns: 4572090060268171598
2000

{}

{}

{}

{}

{}

662155094

Returns: 4572790218797896827
2000

{}

{}

{}

{}

{}

362899911

Returns: 4581282880714178357
2000

{}

{}

{}

{}

{}

942363090

Returns: 4568007940205340924
2000

{}

{}

{}

{}

{}

619243593

Returns: 4568891400399493195
2000

{}

{}

{}

{}

{}

992632500

Returns: 4579832361232037613

Statistics

Problem Statement for "PaintByPatterns"

Problem Statement

Definition

Constraints

Examples