diff --git "a/greatest_common_divisor_traversal/haskell_tests/Main.hs" "b/greatest_common_divisor_traversal/haskell_tests/Main.hs"
new file mode 100644--- /dev/null
+++ "b/greatest_common_divisor_traversal/haskell_tests/Main.hs"
@@ -0,0 +1,44 @@
+
+module Main where
+import Test.HUnit
+
+--Program start
+canTraverseAllPairs :: [Int] -> Bool
+canTraverseAllPairs nums = undefined
+
+--Program end
+
+-- Test cases
+
+test1 :: Test
+test1 = TestCase (assertEqual "for (canTraverseAllPairs [2,3,6])," True (canTraverseAllPairs [2,3,6]))
+
+test2 :: Test
+test2 = TestCase (assertEqual "for (canTraverseAllPairs [3,9,5])," False (canTraverseAllPairs [3,9,5]))
+
+test3 :: Test
+test3 = TestCase (assertEqual "for (canTraverseAllPairs [4,3,12,8])," True (canTraverseAllPairs [4,3,12,8]))
+
+test4 :: Test
+test4 = TestCase (assertEqual "for (canTraverseAllPairs [91419, 83661, 82207, 24589, 23561, 71395, 88877, 24939, 93776, 52057, 44260, 5942, 18297, 49984, 12177, 62605, 33700, 47976, 43499, 62678, 53716, 21994, 66674, 33448, 13119, 41349, 95239, 87432, 41987, 1028, 10876, 63311, 3610, 78467, 77608, 73500, 5906, 13845, 5254, 9079, 36638, 42907, 34911, 68251, 15634, 97188, 51361, 19112, 94695, 44094, 83242, 73012, 57580, 55409, 72056, 30106, 85433, 10956, 30664, 76235, 41652, 85476, 894, 22058, 80197, 56328, 92522, 41875, 14988, 24742, 95121, 99696, 40511, 41270, 98822, 75417, 65221, 52689, 8291, 71656, 2829, 87607, 71429, 82336, 92293, 72260, 33143, 1366, 37925, 21519, 96538, 19207, 95433, 20546, 51580, 43049, 33369, 37791, 93807, 3290, 60911, 25613, 71772, 11409, 31377, 16260, 22060, 87162, 26446, 50674, 71767, 57108, 24208, 28207, 22924, 89490, 92026, 57292, 61950, 36566, 4004, 22362, 49477, 55845, 32578, 77035, 34910, 19038, 19429, 65859, 23174, 70626, 53954, 27382, 64331, 82302, 3785, 18989, 39219, 51378, 64506, 68471, 1212, 2758, 19797, 10458, 47432, 76778, 76690, 14697, 19402, 28810, 98747, 49801, 51352, 6764, 87341, 11936, 98409, 57941, 18802, 58103, 55668, 98722, 13808, 36082, 93053, 57330, 2693, 37818, 9609, 56306, 99414, 81404, 28518, 59839, 59969, 36121, 77826, 28050, 60592, 82795, 81142, 86374, 30588, 84421, 26392, 74201, 39637, 20954, 47599, 84548, 71639, 89062, 48566, 26921, 77817, 75254, 95914, 72241, 12764, 33647, 35967, 59495, 47778, 12947, 63940, 22488, 56815, 23255, 33649, 82851, 3673, 2196, 99100, 29925, 30944, 79857, 68771, 97184, 91462, 7471, 44909, 39460, 55290, 35287, 67076, 94065, 38193, 1147, 59169, 72632, 67259, 62964, 7169, 34908, 10422, 7364, 25628, 6131, 30044, 55900, 4144, 22264, 54924, 97112, 93668, 94540, 22874, 85915, 33590, 94267, 1844, 65915, 38573, 78403, 18514, 58723, 5536, 18305, 34561, 62822, 33537, 747, 51032, 17816, 94923, 81513, 71742, 29326, 1489, 11096, 56414, 26416, 33748, 22729, 490, 42101, 92289, 93102, 75039, 26113, 28898, 55120, 70949, 71059, 47323, 8549, 30464, 3533, 74905, 69107, 25719, 77492, 58491, 49612, 31590, 3640, 68024, 38488, 4098, 41398, 87199, 6563, 11179, 49616, 67909, 664, 15164, 58969, 28487, 54970, 88729, 9972, 52733, 34643, 3794, 32375, 83096, 14116, 83096, 69121, 52741, 19421, 95431, 6910, 47971, 33196, 83842, 13539, 76730, 74842, 67744, 64926, 31787, 25187, 84346, 12678, 90151, 50928, 56962, 35267, 35882, 40437, 8276, 89265, 47832, 3081, 59200, 49967, 42650, 73279, 64897, 69290, 69134, 24514, 94525, 36155, 8611, 78986, 68789, 25397, 18616, 27680, 25508, 15834, 30317, 68492, 64771, 75120, 62163, 98885, 93414, 8578, 49791, 34580, 38515, 43790, 74698, 41110, 11640, 67221, 51028, 33103, 71035, 79006, 93436, 96613, 97491, 12458, 27946, 85572, 52092, 64070, 87748, 77398, 34070, 78040, 14058, 47216, 49153, 30348, 23908, 36687, 49561, 68404, 22910, 48000, 8394, 2252, 54263, 80215, 26689, 78080, 26418, 68822, 87399, 84242, 98200, 35476, 47189, 32192, 9931, 44683, 93056, 7268, 95040, 74089, 34949, 17120, 49150, 22495, 42978, 83261, 70260, 67305, 39678, 9404, 92057, 41078, 16388, 9873, 80287, 70879, 10914, 95849, 51843, 64079, 17724, 18144, 47155, 37313, 7918, 62146, 38023, 40511, 30144, 37632, 82678, 20232, 72535, 20866, 66241, 90635, 97778, 51268, 73027, 41290, 71652, 31484, 94432, 11684, 93313, 19328, 45103, 43837, 76548, 60833, 63586, 70140, 95058, 63239, 4243, 66100, 27856, 80102, 7377, 38525, 53196, 37482, 38551, 54145, 15087, 65745, 23527, 1824, 53870, 3935, 91658, 13697, 52470, 77943, 38436, 76732, 70422, 80175, 64105, 24481, 87279, 13960, 6067, 5460, 82882, 47243, 83902, 15867, 17146, 2410, 97368, 1050, 7590, 86312, 3353, 83025, 67583, 92322, 57974, 68805, 45791, 52234, 1066, 32836, 48997, 31070, 13864, 44518, 49871, 73688, 89323, 10995, 36860, 37282, 90738, 96814, 98445, 80086, 2295, 34710, 17148, 52055, 11546, 62541, 76527, 11480, 41118, 97214, 7719, 90031, 23225, 88578, 73717, 38191, 48799, 58593, 65597, 22588, 61870, 88038, 30829, 57942, 70330, 86325, 87611, 92004, 54454, 9702, 50855, 77076, 94982, 81530, 9116, 75291, 66111, 24587, 57383, 77532, 27863, 38013, 26049, 42417, 67464, 53158, 93569, 83654, 95268, 16998, 95669, 61654, 450, 84232, 60892, 22917, 95898, 25125, 97718, 175, 30529, 35650, 85377, 93622, 61035, 78577, 38704, 33840, 68117, 38655, 8550, 73942, 33763, 66633, 41021, 48959, 82281, 56583, 13860, 38768, 75982, 20000, 85816, 71277, 69262, 67655, 48749, 24632, 268, 92704, 91115, 42135, 58662, 33531, 72577, 60849, 17310, 29959, 63188, 4053, 35754, 8486, 28864, 20223, 7695, 34229, 62080, 35561, 16645, 56335, 57456, 62829, 33744, 24896, 21657, 92515, 35085, 11705, 90789, 73841, 33223, 85437, 69851, 80108, 24849, 26898, 45616, 39876, 89107, 21622, 39684, 37068, 72013, 60547, 91914, 47802, 15399, 76320, 12455, 14801, 85058, 52244, 83335, 9971, 25034, 83244, 39814, 18216, 76995, 38513, 92679, 58590, 5960, 37485, 13856, 66555, 96082, 56396, 20894, 13617, 53228, 9181, 77976, 42931, 47047, 16226, 59931, 10865, 9840, 82847, 35396, 77222, 14342, 21078, 92514, 40774, 34840, 47716, 87904, 98656, 72648, 69046, 33976, 50306, 51696, 91624, 82777, 68622, 81313, 23220, 39731, 17704, 92085, 65000, 73988, 80944, 26073, 65797, 51500, 49347, 80706, 39163, 88802, 70832, 94228, 1358, 87732, 96469, 74406, 25973, 94523, 88871, 80984, 4654, 31123, 70990, 82270, 34030, 6512, 93978, 77855, 71719, 72055, 38763, 15786, 54054, 11338, 21359, 74146, 51509, 28092, 67109, 24522, 42222, 49651, 54189, 62572, 60096, 45712, 97723, 27435, 1786, 76152, 5620, 41795, 58721, 90096, 45559, 83247, 3991, 21210, 83062, 55044, 84189, 15996, 48927, 73703, 42420, 93199, 95225, 12751, 37036, 75708, 26230, 36644, 34578, 53206, 59809, 99952, 56598, 25026, 12418, 84098, 44347, 8648, 74831, 71613, 7834, 30416, 94748, 64269, 82822, 18886, 83869, 97420, 64857, 92168, 86077, 89496, 94835, 29675, 88049, 44284, 20516, 83496, 31893, 72959, 36771, 42174, 15839, 26422, 64636, 42522, 68065, 79778, 53713, 20593, 19594, 90522, 50495, 29338, 1816, 22162, 40744, 98091, 75498, 38663, 90093, 97904, 98717, 46589, 24221, 85371, 53690, 54542, 37899, 48094, 73426, 57252, 22637, 56134, 80767, 97260, 9672, 373, 65635, 36872, 65057, 13031, 85096, 48612, 51427, 89201, 64171, 58742, 29949, 95349, 82985, 23787, 5917, 81840, 20833, 14386, 36512, 36178, 34644, 82238, 57615, 59794, 59803, 15168, 9454, 77893, 61367, 43245, 14797, 81740, 32026, 94112, 20666, 70677, 69456, 38020, 46381, 7941, 21880, 61135, 78482, 99067, 89192, 70214, 66965, 86785, 67931, 8383, 29839, 11396, 40338, 49505, 90560, 40622, 27694, 91051, 29447, 91285, 62814, 46194, 12766, 76892, 25107, 3282, 88129, 15481, 29803, 90037, 60614, 36483, 89196, 51163, 59878, 834, 18827, 73834, 33337, 33873, 27801, 48053, 39744, 38731, 59487, 18500, 87015, 56540, 58011, 94575, 9368, 32734, 18853, 42357, 2676, 4891, 92380, 68517, 66396, 51808, 35, 6492, 86323, 26649, 79013, 30778, 32460, 92989, 91055, 28067, 46706, 54831, 72124, 95937, 68182, 56315, 68370, 63153, 41505, 52563, 87683, 75078, 68035, 83196, 45301, 25874, 39191, 91977, 20729, 12330, 35162, 29857, 99043, 12793, 11642, 44105, 60409, 86660, 52121, 8255, 73416, 65591, 20189, 61688, 62847, 75208, 20794, 90709, 74566, 98836, 73339, 45448, 82937, 9114, 45708, 87613, 35882, 39423, 74209, 52844, 87304, 36200, 31827, 32778, 40658, 19935, 91302, 42412, 58140, 90333, 39477, 70400, 52543, 63344, 14866, 81059, 98186, 61238, 722, 15808, 10276, 78554, 71065, 56969, 12593, 68973, 78921, 89946, 12046, 70815, 22699, 93734, 97720, 42217, 45694, 70035, 91364, 26335, 90768, 26202, 53376, 73378, 20371, 61385, 2573, 83855, 900, 66057, 26912, 68887, 52855, 30991, 96954, 66273, 76659, 33428, 63913, 41918, 77037, 64378, 88368, 65786, 49029, 60172, 66279, 90087, 11142, 3928, 29101, 28160, 22828, 64524, 23545, 11459, 77930, 73005, 52278, 23415, 99141, 86950, 89719, 37364, 401, 15067, 88668, 55000, 69748, 43053, 94568, 4496, 84468, 49946, 38894, 88715, 79292, 81546, 53062, 62768, 5318, 26374, 1991, 65489, 29986, 13603, 51252, 83581, 80847, 79044, 67185, 56600, 98206, 19342, 4449, 23670, 97136, 73833, 38904, 19971, 29915, 7432, 35383, 6317, 89308, 74599, 26952, 85659, 48704, 43976, 85277, 81445, 45546, 86570, 22024, 54335, 11043, 95648, 13685, 94978, 24671, 50307, 75215, 1652, 49635, 52597, 41996, 60471, 23066, 62297, 92596, 15682, 28941, 64064, 69789, 82287, 47615, 23262, 15090, 31913, 91974, 85357, 83865, 59355, 94766, 65374, 2676, 74247, 74744, 70253, 61059, 50877, 77119, 22822, 13749, 43959, 28643, 63027, 99817, 71528, 10051, 58023, 56237, 79712, 53107, 13697, 87480, 16066, 4308, 48877, 46095, 27388, 62972, 40231, 85120, 75398, 76478, 10134, 30997, 32025, 3285, 31117, 48254, 88820, 209, 19433, 77102, 80424, 45071, 39550, 11450, 67631, 94805, 49648, 45484, 59176, 48005, 21768, 97336, 83153, 67429, 65604, 50542, 42767, 10759, 74368, 18569, 8170, 86516, 181, 28046, 16036, 14317, 14778, 92506, 74567, 43069, 85377, 19023, 62804, 17214, 34025, 11689, 77008, 85640, 87963, 69837, 59661, 47334, 70355, 76566, 33920, 13104, 41690, 44117, 69252, 46834, 69491, 28186, 96057, 31418, 66545, 21713, 30207, 38867, 88510, 55578, 67330, 37906, 29213, 29719, 21393, 81150, 84460, 59532, 40689, 11677, 83353, 67003, 48742, 1072, 26397, 6477, 85137, 65733, 71498, 33679, 9784, 19622, 64354, 36679, 52626, 16785, 88243, 65818, 23946, 60414, 71394, 67623, 45114, 13115, 99140, 22435, 79480, 56576, 13615, 76352, 18229, 33942, 81083, 43723, 6365, 42746, 15607, 45879, 95914, 73143, 94769, 37500, 15607, 79522, 61025, 1442, 87204, 82300, 1024, 92792, 13097, 61569, 55092, 43907, 5726, 37479, 76405, 20064, 82569, 72195, 19765, 35345, 39630, 42030, 28627, 34271, 10885, 49722, 26182, 17827, 94815, 24250, 22882, 56935, 2816, 26666, 65628, 11485, 39097, 54399, 31474, 89052, 80600, 60033, 22346, 53125, 59246, 29175, 87918, 74118, 7125, 6620, 27114, 10139, 59195, 96591, 63574, 7887, 65033, 16366, 584, 12973, 62821, 90512, 2515, 80147, 68427, 28506, 52541, 47560, 42867, 87925, 15596, 94170, 94200, 26068, 2754, 33254, 27554, 13168, 28018, 3913, 18797, 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73497, 77019, 87024, 97221, 5050, 11974, 3136, 40756, 22957, 77778, 59052, 50025, 84792, 36760, 59858, 50137, 16397, 50242, 17059, 39807, 93296, 30316, 43211, 91553, 57415, 19671, 30312, 94456, 21282, 91952, 52155, 47378, 97592, 77485, 29456, 92671, 98105, 47585, 67833, 58784, 43422, 28313, 21450, 77195, 33620, 54326, 26666, 67849, 41949, 1807, 76744, 12178, 85974, 70868, 49768, 10963, 9030, 66596, 80114, 55256, 53795, 46303, 48142, 89435, 58161, 76154, 9440, 14566, 12251, 98796, 8497, 20564, 33290, 66043, 60269, 88765, 23544, 20400, 50616, 41075, 89175, 52049, 24915, 13598, 38691, 97202, 17423, 40301, 66893, 17143, 20215, 73863, 81170, 63359, 21436, 15338, 72699, 90366, 18218, 71108, 69413, 97162, 88148, 18818, 61243, 1508, 22636, 82771, 10179, 62630, 24885, 52720, 96245, 19751, 21345, 45337, 88603, 26937, 59720, 60195, 93294, 88445, 96544, 82154, 36168, 39629, 55711, 89266, 34081, 81274, 70179, 48226, 85706, 78709, 44174, 32552, 58576, 88070, 78831, 17523, 7045, 33380, 92020, 17825, 77762, 46366, 3537, 48008, 46927, 53082, 14507, 60511, 94986, 27602, 49683, 2548, 27609, 77656, 44681, 86530, 79809, 53162, 13361, 51202, 53081, 87319, 29728, 78435, 95456, 61478, 63419, 85827, 32008, 72627, 24197, 1347, 86885, 53117, 66961, 81710, 78179, 27707, 14367, 12406, 21678, 32553, 24054, 59221, 40087, 63454, 28573, 78821, 25270, 5547, 12184, 23316, 66413, 29876, 15262, 20622, 53240, 55347, 60271, 81390, 32649, 10299, 77834, 68470, 63824, 50862, 32724, 50729, 98770, 80289, 36522, 16153, 97279, 86494, 61613, 94142, 61427, 11845, 38194, 94881, 82455, 14303, 73315, 92556, 64534, 20390, 40986, 5642, 90902, 2567, 48608, 75679, 12229, 36377, 32274, 36944, 54927, 19670, 86054, 95586, 67785, 12329, 31111, 17732, 89806, 37163, 65386, 83357, 23025, 18050, 99449, 29272, 61966, 27463, 44472, 81670, 43693, 48949, 68918, 70555, 97175, 73671, 70639, 89493, 71741, 26165, 10507, 37239, 68551, 28130, 96301, 57840, 27959, 10488, 73429, 68026, 74597, 14730, 29997, 83705, 16560, 5196, 17096, 32097, 45157, 8845, 86897, 32604, 52195, 21332, 96844, 33969, 51836, 22747, 1205, 59910, 1286, 84018, 83879, 978, 41030, 14026, 44563, 24694, 74151, 23721, 51781, 73794, 7107, 77067, 58409, 25217, 83489, 3193, 11400, 97131, 37634, 72558, 11428, 58145, 19606, 12226, 74271, 66061, 18600, 65624, 14557, 57944, 44312, 77736, 2869, 24746, 65513, 17788, 34194, 58623, 88650, 28521, 32714, 72609, 99064, 51032, 78799, 57850, 11644, 90166, 66930, 88969, 59494, 48762, 38317, 34554, 19272, 35282, 37012, 48972, 70285, 61383, 5942, 27923, 2846, 10809, 32462, 90350, 87149, 36653, 51757, 10946, 5182, 22950, 30188, 76585, 23456, 80989, 31240, 56020, 59154, 63273, 4758, 94329, 37247, 67186, 79800, 53924, 45357, 33106, 36077, 8830, 50779, 28133, 57142, 59859, 35341, 7691, 98285, 10774, 56280, 16805, 24734, 45616, 37473, 796, 53774, 64473, 49510, 22899, 70328, 58112, 60953, 98972, 67016, 14508, 82391, 2584, 41992, 56811, 1674, 57091, 52623, 50573, 36, 89390, 38598, 96511, 8907, 24839, 2134, 15479, 63336, 68641, 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+
+test5 :: Test
+test5 = TestCase (assertEqual "for (canTraverseAllPairs [61940, 639, 50452, 69291, 63541, 53157, 44753, 72868, 37940, 82258, 97855, 13295, 91836, 92673, 81671, 98628, 84403, 33679, 52518, 43747, 92874, 42463, 20823, 39205, 45044, 26292, 2607, 35451, 89636, 63539, 44606, 91834, 8399, 3449, 3825, 93103, 7588, 85256, 84387, 98662, 25150, 44264, 53853, 79780, 51381, 47152, 97560, 14025, 91482, 11087, 56668, 68894, 32964, 63611, 36001, 75661, 50206, 74279, 90355, 47081, 55070, 73723, 79588, 62170, 88033, 40137, 8285, 77517, 15835, 76844, 2540, 3376, 25146, 41896, 44773, 10513, 57425, 37008, 75994, 90342, 55796, 64320, 35105, 14706, 56995, 44144, 9264, 93236, 50811, 44559, 88315, 64578, 53469, 88562, 66429, 73192, 70137, 22549, 19414, 76208, 83834, 65367, 45502, 36877, 81804, 80256, 74643, 98059, 45623, 36477, 31657, 84592, 99014, 50047, 85393, 61270, 60806, 11597, 34156, 56200, 78646, 73558, 61653, 34874, 51214, 55690, 34929, 74400, 92643, 53555, 44656, 38772, 24528, 96967, 86308, 96555, 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66457, 74761, 92577, 85482, 10798, 3955, 10282, 13688, 87180, 78143, 23506, 68893, 45000, 89059, 55088, 66520, 38737, 97602, 7469, 51111, 13210, 44823, 82834, 91511, 25308, 64222, 67266, 20868, 20150, 63357, 53320, 89176, 57947, 64430, 29609, 73788, 79488, 1099, 56998, 59544, 33994, 28292, 71332, 63188, 31869, 19357, 71567, 92557, 15499, 30379, 54478, 64685, 44576, 12351, 58485, 8027, 95856, 27853, 49879, 89772, 12137, 38849, 97511, 28646, 72978, 21215, 79717, 46885, 63234, 18999, 83791, 54864, 27617, 47313, 60009, 56802, 90318, 32540, 31303, 58693, 35904, 58728, 70163, 96165, 90673, 52576, 5865, 12318, 69245, 32280, 17893, 633, 9109, 20135, 67264, 73896, 78951, 13143, 44866, 4492, 41065, 88684, 76918, 7847, 9467, 36033, 14747, 3203, 45908, 83994, 42300, 5910, 86228, 24024, 77231, 36736, 77976, 91100, 67514, 64162, 30019, 29956, 56915, 83478, 25625, 21469, 55120, 19335, 13057, 57149, 6338, 29589, 22623, 67319, 1994, 44700, 84081, 47693, 70694, 41095, 57787, 35179, 9343, 52049, 73638, 86969, 61467, 94716, 59060, 68853, 4791, 98645, 76267, 79331, 56041, 25041, 80974, 44064, 67965, 40659, 41609, 62804, 80779, 2800, 62, 40156, 78694, 82659, 16911, 28527, 92769, 62214, 60793, 48897, 77580, 52265, 42358, 33568, 42296, 91228, 96171, 58736, 70647, 77356, 38153, 92907, 6275, 27553, 61877, 18016, 87876, 84618, 93662, 57301, 36002, 82903, 98503, 63807, 10600, 37427, 19027, 51990, 55636, 51058, 53660, 59270, 32895, 91889, 67513, 81227, 92098, 29528, 41009, 62710, 94647, 89644, 2580, 36057, 85627, 39978, 57592, 38794, 81120, 62127, 7921, 15951, 9271, 36139, 30387, 25848, 98599, 8392, 84934, 90406, 98615, 39464, 40223, 70928, 52515, 15778, 46580, 17863, 19577, 92683, 4092, 45821, 2332, 92663, 34619, 86417, 643, 79856, 27249, 41887, 90927, 71511, 5363, 79185, 32063, 93018, 13164, 92321, 64764, 31301, 69203, 17557, 25435, 258, 17310, 68918, 56936, 54373, 34400, 91496, 39401, 49902, 60159, 3232, 30334, 43830, 81078, 85532, 97217, 6100, 34376, 22200, 12881, 61753, 98593, 56763, 93975, 91746, 6980, 29590, 20998, 4887, 84809, 34618, 95327, 41564, 69485, 11341, 61896, 37136, 11560, 12214, 17040, 18960, 61489, 47135, 27329, 45408, 31332, 1562, 37951, 72150, 85488, 55274, 51787, 6432, 28418, 40680, 89153, 52708, 83511, 44524, 21206, 45958, 99355, 28000, 32197, 12539, 70138, 66937, 59140, 51465, 6241, 46458, 59562, 46784, 36784, 83511, 13398, 27248, 89607, 34404, 72789, 87098, 43101, 41986, 8906, 24192, 38774, 74589, 53658, 34829, 19612, 43320, 51553, 35977, 38452, 20062, 97581, 6133, 42772, 64373, 22624, 19045, 31671, 73067, 12034, 67703, 85717, 26024, 69181, 56303, 70346, 88251, 29791, 81091, 62031, 97061, 35520, 41694, 90892, 45422, 35376, 12410, 57389, 28599, 13951, 78719, 73311, 26706, 42744, 77873, 6965, 87909, 4686, 54278, 90952, 1599, 81411, 72883, 44984, 26288, 90989, 42229, 44488, 98307, 85271, 75573, 80846, 43598, 56802, 85231, 6824, 62882, 76044, 34319, 2557, 16401, 63897, 21309, 48704, 79408, 38047, 244, 2747, 61613, 98021, 86266, 15315, 39863, 24526, 93967, 43561, 10912, 515, 62156, 60872, 27320, 25216, 46280, 60370, 67680, 4776, 48659, 9020, 2294, 88781, 22266, 77611, 78518, 66171, 99825, 31132, 42103, 10317, 5390, 58096, 50328, 13432, 10263, 18512, 24134, 28435, 3374, 34094, 38190, 65983, 69530, 12730, 5145, 30071, 36855, 12038, 63871, 260, 62578, 86117, 56506, 39273, 8862, 54696, 63713, 34509, 46233, 90340, 910, 4903, 3146, 32385, 30876, 6061, 10705, 38947, 43428, 19156, 19200, 18071, 98297, 44090, 96613, 68922, 97368, 38469, 44427, 58663, 7962, 62127, 36019, 82186, 32792, 57889, 77099, 67762, 68184, 37507, 19446, 57563, 47882, 62462, 84740, 97061, 29160, 92704, 95067, 27079, 74232, 50386, 58688, 65597, 9836, 67271, 84941, 8757, 14767, 85594, 70457, 16704, 84632, 6846, 67064, 49331, 89161, 64380, 98652, 9649, 81907, 4620, 51174, 36154, 23633, 69542, 30801, 33026, 93515, 72491, 30404, 8008, 29653, 84737, 91854, 65810, 89910, 65405, 41874, 42227, 16497, 26732, 6275, 33297, 64375, 32876, 61801, 21456, 63638, 47127, 82152, 35794, 43540, 18027, 4770, 25838, 99713, 20252, 1997, 71263, 43107, 21014, 72714, 87601, 84259, 98036, 58348, 90033, 57069, 95509, 35675, 47904, 39200, 64367, 28842, 26783, 62548, 44004, 95768, 92920, 42560, 7312, 41829, 25111, 11935, 83695, 2081, 75045, 7151, 43393, 62579, 3119, 77408, 90752, 53505, 38961, 6908, 54296, 91735, 83917, 47270, 34691, 82506, 20791, 73504, 62641, 45611, 6226, 79629, 77836, 94954, 72020, 25177, 3679, 40721, 48178, 97660, 13622, 12045, 18606, 29492, 48351, 42672, 84820, 47216, 17995, 30535, 68347, 74167, 62476, 35382, 45470, 91852, 1415, 31112, 19206, 17497, 69955, 94082, 10058, 66879, 96207, 32231, 87451, 7170, 70641, 32445, 80367, 76390, 90588, 61521, 75925, 46439, 74320, 15227, 47669, 81499, 65896, 78579, 52324, 1495, 71880, 84387, 54397, 10316, 28810, 52082, 94320, 11740, 87309, 46305, 81098, 88964, 22163, 87677, 96305, 19623, 80053, 17394, 52728, 43284, 17161, 53133, 75473, 96456, 44856, 96689, 47132, 411, 93821, 29997, 59803, 72433, 93756, 81934, 59391, 91119, 32143, 25657, 46698, 15874, 69471, 29531, 17891, 95152, 8290, 81442, 2057, 14151, 67513, 12784, 46224, 3168, 32791, 80027, 92476, 26354, 92731, 31782, 87686, 75357, 48017, 61134, 9507, 99584, 22446, 99567, 48238, 68251, 3968, 72334, 42963, 67974, 53805, 60070, 83003, 33832, 36483, 23920, 52010, 55285, 28534, 44411, 82673, 98702, 41130, 55684, 6531, 60946, 51514, 51163, 44126, 95164, 96743, 10753, 52727, 97201, 95936, 19394, 38434, 56723, 76742, 25760, 51526, 66099, 71373, 92858, 79685, 20397, 52440, 74343, 23703, 18559, 64322, 36848, 98231, 6186, 49534, 89449, 84518, 63149, 69253, 858, 44955, 9062, 50960, 46490, 95810, 10360, 90271, 21245, 8771, 47486, 82802, 79989, 48425, 65143, 88653, 20758, 52419, 35192, 94659, 83592, 49191, 88339, 83998, 64100, 95358, 68096, 90383, 29016, 62672, 16818, 55119, 35973, 78346, 57197, 73963, 31750, 1220, 74120, 47367, 75032, 81475, 38559, 49856, 4002, 76774, 70228, 12041, 90937, 97296, 52572, 59818, 41975, 4138, 80364, 63398, 62276, 22009, 81348, 86211, 15669, 8642, 4522, 27014, 81372, 48566, 32687, 38376, 67577, 34471, 98036, 67858, 79106, 21134, 49496, 55029, 58065, 60711, 67639, 8755, 82983, 44531, 35817, 36657, 3083, 65961, 62515, 91613, 81598, 92111, 57026, 82009, 62478, 98414, 11888, 34212, 58627, 96478, 2714, 84535, 77233, 31443, 73674, 6975, 66274, 60829, 71164, 3130, 57406, 14389, 66462, 88151, 2309, 23300, 44239, 56727, 34471, 99758, 67767, 50473, 86240, 64726, 77511, 97823, 59351, 16761, 20303, 21665, 56132, 90053, 67788, 94959, 91213, 12756, 20932, 74799, 15363, 7028, 2720, 72636, 36050, 31314, 43075, 67063, 78241, 79097, 45404, 57656, 51955, 40398, 89617, 45634, 56020, 32911, 22508, 94401, 64490, 501, 10046, 15514, 40652, 37615, 57796, 50815, 89570, 74437, 29988, 38123, 82971, 75004, 6550, 47954, 96523, 43921, 53647, 85036, 70241, 23053, 50089, 28880, 61161, 92270, 16337, 55634, 76451, 87232, 14598, 6904, 18323, 21652, 53695, 60678, 51597, 69496, 99936, 35565, 11301, 67883, 96695, 18595, 52298, 4802, 14337, 79285, 62533, 87446, 28761, 11573, 35029, 14137, 60054, 22479, 30221, 73719, 61620, 954, 65384, 20824, 24920, 66229, 55989, 51223, 19476, 90763, 84401, 13090, 15120, 56500, 96650, 84922, 60200, 92540, 56985, 39560, 21580, 76305, 27297, 86774, 32612, 20559, 31898, 99850, 52746, 8626, 95994, 33968, 22048, 18802, 45537, 97452, 5597, 35966, 88156, 87270, 28783, 45523, 28414, 45961, 20731, 83767, 5575, 67952, 53, 13731, 41853, 97875, 73228, 99202, 24070, 26589, 12390, 29803, 79135, 84284, 62367, 13660, 9882, 81577, 45328, 71328, 62698, 42625, 18321, 64304, 37647, 53741, 12618, 20238, 26807, 15893, 13602, 27089, 38941, 97114, 68163, 21534, 63728, 97942, 28109, 67993, 36172, 68666, 65790, 44713, 36706, 58002, 29543, 59254, 50199, 3114, 42716, 4351, 7519, 89707, 2576, 66750, 60519, 32042, 77583, 3004, 39546, 80005, 6346, 85324, 9343, 2972, 45830, 77300, 4521, 20669, 31435, 70178, 49661, 5313, 91599, 84750, 2389, 61613, 99357, 65595, 48520, 34529, 22070, 6656, 55689, 98974, 13552, 45244, 42871, 81401, 97509, 9978, 99006, 2098, 96757, 42976, 12448, 43147, 97990, 20716, 55328, 86490, 13609, 92161, 54176, 84031, 35978, 75485, 95794, 62189, 2484, 82983, 45008, 15122, 36533, 4117, 60043, 99743, 28093, 2661, 2352, 50384, 74637, 35569, 92353, 4493, 85954, 35898, 81812, 62807, 5179, 85550, 97205, 19523, 65321, 74962, 73560, 7332, 66754, 37675, 39734, 48235, 86859, 9157, 79924, 28287, 50478, 57176, 56204, 97978, 25320, 82977, 89413, 11016, 3250, 64868, 20272, 83485, 58773, 13384, 60284, 17567, 46808, 18096, 61606, 86928, 46500, 39752, 40548, 47240, 91525, 69811, 25273, 76727, 41690, 89951, 17517, 19883, 95039, 28470, 25971, 65019, 67972, 58844, 74963, 94253, 98618, 7208, 43604, 62003, 1922, 46874, 88009, 92692, 55397, 45603, 28340, 38953, 28501, 33429, 9890, 92536, 31654, 60285, 7265, 21457, 93973, 55513, 41992, 2794, 47428, 1036, 44685, 65730, 77895, 56291, 67000, 33961, 85366, 21845, 95264, 17139, 12471, 65618, 64370, 67015, 63906, 12330, 99468, 70465, 28963, 84815, 9482, 79147, 68241, 75079, 52424, 6606, 81620, 38285, 95149, 11736, 60769, 41502, 11162, 16148, 91724, 75376, 66572, 36745, 72511, 23540, 91370, 6531, 97447, 84831, 83279, 85173, 35015, 7833, 33940, 94344, 36377, 94175, 69116, 78769, 45711, 23578, 79968, 40382, 50780, 94995, 2542, 96008, 56377, 52190, 19391, 58179, 11240, 66780, 42486, 72543, 42396, 84103, 9925, 16126, 23115, 45761, 6469, 76745, 15301, 66430, 9376, 87191, 32544, 95873, 57497, 37873, 74678, 83348, 78259, 52333, 45200, 90702, 88388, 11649, 62720, 85007, 634, 89655, 37508, 11007, 59810, 63026, 4953, 70304, 45542, 40535, 86295, 89577, 96731, 78249, 79153, 55193, 78608, 56626, 58095, 25641, 8411, 64781, 90192, 98704, 27282, 58770, 27161, 69308, 76609, 83425, 24843, 90860, 84560, 72934, 98063, 82258, 59306, 37587, 83563, 20617, 33656, 39430, 79603, 87035, 48735, 70290, 10516, 44942, 85602, 5687, 21136, 25422, 51437, 10280, 71023, 96976, 44290, 1085, 81002, 32242, 94948, 67274, 422, 92517, 44967, 50516, 71427, 41581, 84463, 87411, 58340, 95338, 85005, 4408, 41591, 96701, 65086, 34892, 18675, 41984, 10587, 72942, 11720, 41142, 21336, 67081, 45246, 75230, 90104, 46700, 86846, 88451, 77012, 999, 26473, 63523, 23237, 87383, 55622, 98977, 9343, 60399, 14207, 43961, 34516, 76066, 45990, 27426, 29753, 65417, 9183, 54489, 46036, 56389, 80076, 43190, 63657, 29999, 19022, 66681, 6197, 21774, 62836, 30100, 90072, 61427, 42012, 2717, 30179, 58279, 50408, 27894, 46607, 28767, 74916, 38642, 80810, 49620, 69877, 57579, 94220, 34889, 75684, 87876, 52596, 70509, 81118, 14124, 19750, 85284, 84176, 58608, 98132, 11564, 8332, 8564, 34780, 29149, 39703, 48168, 61770, 80247, 34485, 87007, 79902, 21524, 64844, 80776, 5716, 19759, 69092, 89607, 12140, 12705, 67285, 31646, 32911, 5478, 94797, 87446, 23845, 42080, 69834, 77411, 93052, 37553, 51360, 30663, 10069, 49107, 94416, 78252, 69060, 93884, 67153, 95325, 36304, 21415, 71283, 68882, 10774, 55371, 82713, 33695, 15574, 6410, 61220, 85057, 57976, 62023, 24669, 58888, 12547, 46701, 41713, 9102, 85370, 25493, 70916, 91480, 78311, 26082, 28243, 72754, 53448, 29378, 49728, 90539, 80265, 6352, 81749, 34896, 37316, 62314, 8236, 67300, 17988, 3998, 45280, 6765, 27634, 57412, 68195, 96737, 53351, 32087, 96611, 15885, 213, 2415, 70965, 17432, 27473, 94558, 64973, 15840, 8709, 96301, 67006, 90188, 81482, 89258, 20307, 12001, 16894, 78901, 57666, 56877, 48916, 36102, 84497, 11755, 97174, 74884, 35075, 29867, 61096, 69161, 93712, 73472, 60110, 23659, 92463, 40742, 14751, 37571, 41536, 82048, 35809, 77465, 38906, 39282, 42218, 98154, 74135, 63833, 9113, 12345, 40778, 47235, 78526, 41182, 474, 27879, 76631, 30804, 86993, 85098, 18816, 43589, 52906, 73335, 2051, 13907, 82355, 62677, 16985, 81107, 7085, 20895, 49967, 8721, 67483, 65906, 13685, 50158, 80553, 44203, 45743, 96461, 74605, 59185, 78352, 52975, 12222, 79714, 51293, 47994, 29216, 32815, 62835, 70742, 51202, 8357, 45235, 80832, 53774, 42708, 53204, 8256, 9910, 76143, 67971, 32382, 81133, 72559, 9951, 32844, 17356, 20950, 46986, 42229, 9333, 50529, 58654, 71489, 23604, 23358, 69278, 78346, 82633, 49368, 6120, 32993, 12435, 31244, 29754, 20939, 12919, 3776, 79809, 1918, 40785, 40078, 55683, 27974, 86980, 45008, 65732, 62781, 89771, 5466, 36928, 11585, 53902, 47910, 87041, 47399, 11486, 34940, 91985, 53229, 22596, 68218, 79592, 62857, 68496, 13934, 72287, 11907, 4030, 67191, 79962, 14061, 16835, 86688, 94347, 27913, 28517, 42152, 11661, 15849, 15097, 9372, 11, 78452, 30364, 68348, 42321, 88681, 65274, 55405, 32213, 50652, 86244, 69288, 64515, 40600, 99269, 83641, 27258, 7204, 34034, 95759, 17726, 29005, 97451, 92198, 22941, 8620, 74777, 91801, 54492, 94948, 86845, 31620, 29316, 27107, 68983, 95601, 47856, 50744, 94404, 23216, 40840, 827, 47408, 88678, 55795, 30226, 41345, 34580, 59828, 56263, 97470, 54841, 95747, 84769, 63119, 75424, 48460, 84687, 21356, 49172, 11861, 22660, 52092, 96667, 18867, 2295, 64709, 1336, 79267, 12085, 83068, 78128, 73883, 8784, 84205, 82619, 30830, 85996, 63206, 17347, 39189, 17358, 49657, 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+
+test6 :: Test
+test6 = TestCase (assertEqual "for (canTraverseAllPairs [60723, 74775, 53190, 54525, 91095, 81150, 66032, 29987, 82322, 13580, 92193, 64796, 80537, 68504, 88228, 48916, 2504, 8404, 28592, 55019, 92864, 11465, 21123, 43554, 23314, 78495, 64383, 42264, 84782, 21078, 60791, 50125, 8464, 14556, 8775, 18850, 48813, 60318, 55667, 99969, 23902, 85319, 70391, 89298, 11819, 1596, 31895, 5114, 42956, 52312, 29916, 64932, 41648, 50483, 70290, 25290, 98994, 73684, 81945, 79925, 72135, 97247, 32726, 36290, 24814, 73559, 17601, 66823, 91869, 82788, 96374, 5965, 76175, 64342, 57571, 53056, 84535, 27291, 95027, 70083, 47927, 73850, 12259, 73919, 42924, 28062, 19612, 83384, 31338, 75591, 53677, 48654, 62260, 66861, 74606, 50766, 3660, 39934, 87582, 61099, 52263, 39208, 75989, 87086, 43705, 76747, 90448, 36531, 20262, 67321, 47430, 91602, 79554, 58941, 73717, 26703, 98043, 36022, 8478, 21125, 86751, 60705, 46708, 97056, 46265, 74218, 98777, 36967, 86044, 32322, 7555, 81682, 30749, 33188, 66322, 1910, 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78795, 35136, 60324, 46824, 3512, 24734, 34358, 91583, 41973, 93741, 5362, 65087, 1046, 68752, 11346, 96390, 36403, 41159, 99333, 2412, 89707, 47746, 98185, 70451, 76519, 24762, 96850, 37235, 90647, 77864, 9050, 5664, 4117, 65081, 46582, 46051, 42083, 82171, 76309, 42428, 37960, 42912, 15433, 60900, 27623, 21455, 29504, 77728, 13880, 18953, 6637, 35291, 70066, 97212, 85671, 98468, 68606, 51064, 98987, 6551, 45463, 57868, 41503, 90924, 69705, 18325, 53761, 53610, 37104, 30853, 69502, 14031, 8746, 16708, 282, 45275, 42976, 3241, 50785, 99089, 72634, 13083, 36815, 71606, 44609, 77747, 12945, 58989, 98797, 45378, 64632, 66204, 8460, 17225, 24311, 35998, 35561, 79185, 95726, 66100, 14259, 38930, 34921, 52686, 48874, 16722, 63820, 11710, 20585, 1914, 84266, 66280, 57324, 5343, 96855, 85728, 90402, 61130, 14068, 47183, 17577, 29303, 47647, 85697, 93899, 48918, 48102, 77818, 12784, 58869, 23492, 95138, 25, 9356, 29898, 73631, 97214, 54578, 40163, 47355, 50457, 54590, 33691, 81780, 56472, 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87159, 94305, 94025, 28025, 66618, 89071, 63868, 98455, 94939, 38397, 25912, 91679, 86838, 97075, 83489, 57003, 1062, 56142, 75512, 59925, 80777, 12545, 13021, 62909, 84719, 85608, 17201, 17167, 35795, 16309, 62118, 31167, 85382, 55331, 41066, 99758, 59098, 63267, 76235, 12763, 44745, 33087, 24844, 93184, 22224, 41208, 21950, 88001, 85106, 69247, 58393, 62452, 94346, 53019, 98173, 45256, 97767, 88715, 70561, 32952, 97013, 6758, 12474, 49031, 89833, 54166, 14995, 72075, 5391, 73985, 44983, 87478, 28260, 92898, 76006, 53862, 63417, 86033, 93122, 7473, 37500, 46765, 60746, 12227, 43275, 78764, 61743, 97968, 94271, 44965, 25579, 52541, 99249]))
+
+test7 :: Test
+test7 = TestCase (assertEqual "for (canTraverseAllPairs [78693, 83893, 42929, 41479, 83008, 15453, 35805, 89458, 76725, 45364, 45041, 11943, 81004, 7424, 73765, 66207, 85716, 47924, 28881, 47363, 36017, 46867, 96407, 5507, 77237, 91007, 85984, 43678, 41210, 95293, 73237, 23482, 92362, 97410, 34735, 89480, 80271, 79582, 2558, 73180, 51282, 7190, 3160, 20556, 23991, 74018, 60027, 29031, 19440, 2339, 99089, 42667, 50220, 45476, 49337, 47002, 29949, 34927, 79032, 77968, 31925, 1348, 54694, 93090, 37779, 99998, 32463, 96497, 58282, 86789, 51948, 61531, 17483, 90440, 78390, 98246, 23410, 36185, 68328, 85538, 85787, 6493, 4724, 4465, 5764, 59601, 73307, 60908, 71893, 72529, 41351, 9459, 51655, 83336, 53446, 67942, 50022, 74463, 66022, 32004, 54366, 46384, 5506, 55715, 92573, 21677, 83564, 63898, 58931, 65704, 95125, 63037, 648, 99527, 30397, 93592, 56599, 1179, 71701, 92920, 55628, 9261, 93795, 54579, 518, 9598, 34203, 73354, 57124, 96084, 27514, 89115, 60201, 39882, 60089, 94358, 5343, 88324, 80300, 76009, 22585, 26797, 43910, 57717, 84702, 612, 60106, 26052, 18479, 81964, 24434, 66056, 603, 23268, 7581, 73947, 71702, 72561, 33171, 67905, 43270, 85624, 17130, 49416, 76567, 77895, 70133, 12069, 6131, 6725, 57847, 32836, 47940, 72982, 84937, 22619, 45325, 52082, 71951, 7957, 76102, 31457, 2582, 97296, 5977, 2884, 79334, 20911, 13649, 92534, 54743, 86665, 83227, 6979, 47596, 80441, 14207, 93168, 22409, 96752, 81010, 24396, 82296, 91065, 22241, 9891, 97580, 2368, 73982, 46588, 52355, 66749, 19934, 3068, 16310, 66588, 39766, 4056, 38976, 99456, 8805, 48782, 97530, 47948, 10497, 88750, 12165, 42025, 45836, 11630, 89387, 3827, 35488, 60869, 44046, 40007, 92749, 2749, 52240, 97631, 48657, 18939, 31524, 35928, 22347, 4841, 25955, 71007, 81410, 45833, 52150, 32926, 20809, 57651, 2111, 63973, 69430, 68562, 50331, 65517, 7438, 89342, 490, 36017, 85765, 52316, 47998, 37866, 94618, 62143, 24820, 48684, 72596, 25050, 90415, 13259, 92187, 60660, 72171, 18354, 85076, 77347, 25659, 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+
+test8 :: Test
+test8 = TestCase (assertEqual "for (canTraverseAllPairs [43973, 51965, 10538, 82744, 25020, 77825, 23351, 33606, 8446, 73868, 82032, 98961, 99735, 86649, 19128, 49599, 17544, 31612, 23147, 48719, 86572, 1454, 64386, 59512, 10924, 79898, 61467, 76817, 38261, 75423, 78041, 4348, 76058, 98886, 88469, 57020, 43476, 20136, 75784, 98357, 34950, 48759, 22912, 4546, 8545, 58455, 39100, 38696, 3932, 96798, 76802, 49738, 32708, 49556, 77637, 13795, 74474, 71054, 24252, 40986, 83124, 43479, 10303, 41535, 14255, 81727, 67700, 1784, 81350, 32730, 57146, 7881, 44309, 91148, 33491, 77089, 79079, 68867, 44872, 64315, 82189, 95580, 4558, 75068, 1569, 57585, 21747, 7478, 98995, 6426, 55522, 90547, 76093, 46763, 83682, 48791, 72128, 51672, 9328, 44591, 64618, 16103, 84150, 79599, 37572, 80908, 29632, 56433, 35125, 8930, 91778, 77511, 44069, 41808, 2482, 47046, 74101, 63307, 9577, 56842, 63429, 74149, 8150, 55388, 20837, 76334, 72158, 75850, 55765, 28836, 25829, 43250, 30020, 81593, 24178, 53536, 97351, 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+
+
+-- Grouping test cases
+tests :: Test
+tests = TestList [TestLabel "Test1" test1, TestLabel "Test2" test2, TestLabel "Test3" test3, TestLabel "Test4" test4, TestLabel "Test5" test5, TestLabel "Test6" test6, TestLabel "Test7" test7]
+
+-- Running the tests
+main :: IO Counts
+main = runTestTT tests