diff --git "a/happy_students/haskell_tests/Main.hs" "b/happy_students/haskell_tests/Main.hs"
new file mode 100644--- /dev/null
+++ "b/happy_students/haskell_tests/Main.hs"
@@ -0,0 +1,41 @@
+
+module Main where
+import Test.HUnit
+
+--Program start
+countWays :: [Int] -> Int
+countWays nums = undefined
+
+--Program end
+
+-- Test cases
+
+test1 :: Test
+test1 = TestCase (assertEqual "for (countWays [1,1])," 2 (countWays [1,1]))
+
+test2 :: Test
+test2 = TestCase (assertEqual "for (countWays [6,0,3,3,6,7,2,7])," 3 (countWays [6,0,3,3,6,7,2,7]))
+
+test3 :: Test
+test3 = TestCase (assertEqual "for (countWays [17860, 3023, 8126, 20047, 12946, 28624, 14572, 25709, 28189, 13211, 2989, 12300, 5900, 9370, 10738, 15442, 21043, 825, 11065, 28266, 16290, 29385, 22751, 6777, 3258, 3671, 1369, 883, 19392, 30170, 92, 8095, 6111, 15204, 23042, 9338, 6558, 17649, 30072, 14404, 18870, 16272, 3456, 27981, 14520, 3982, 10536, 7321, 27046, 10882, 14266, 10485, 30045, 23142, 6615, 23906, 10321, 27188, 18533, 4016, 10737, 1391, 3305, 15888, 13431, 9682, 6031, 25983, 16451, 7973, 8675, 15580, 19730, 6659, 3010, 13198, 15460, 13949, 6885, 15818, 25669, 5867, 4883, 16984, 19923, 1420, 22403, 2909, 3585, 19987, 3334, 19650, 6148, 30199, 5642, 3697, 9870, 22190, 19632, 14082, 23838, 22524, 11811, 28282, 10373, 14149, 3350, 17920, 21925, 19128, 27997, 14554, 26239, 25603, 28437, 17389, 26435, 20632, 6320, 23841, 18951, 8608, 12893, 6434, 7153, 15091, 20061, 3923, 22835, 17509, 24621, 25494, 26387, 25018, 5351, 26074, 10202, 3108, 19684, 25675, 14520, 3332, 17676, 20613, 19072, 20459, 20014, 21871, 15837, 23449, 21902, 1832, 8883, 13427, 8315, 20290, 17665, 24471, 9757, 13296, 16985, 17012, 20930, 21711, 3456, 285, 1686, 4392, 16154, 15609, 15753, 25505, 4845, 8581, 24622, 22150, 5673, 29333, 10759, 9454, 28985, 9461, 29883, 20943, 16306, 22313, 19223, 24288, 12920, 22860, 12192, 18229, 13696, 22667, 10807, 11975, 22223, 12520, 19593, 15940, 25095, 22141, 13472, 10271, 5353, 10893, 4383, 21426, 9018, 4860, 9741, 10491, 13274, 13009, 16934, 3060, 20117, 25446, 414, 27703, 24118, 26857, 19305, 29188, 11918, 29430, 21517, 6329, 3754, 26380, 23149, 15596, 8063, 27244, 19247, 21474, 5280, 18943, 5871, 1939, 28347, 704, 24442, 8913, 4522, 9350, 12997, 12998, 27571, 12388, 9943, 6760, 16320, 27002, 24453, 29154, 4932, 1201, 23750, 22150, 26853, 26021, 29107, 30257, 21722, 5582, 16792, 8997, 7801, 29511, 25331, 20321, 17381, 14863, 3273, 23956, 21011, 20804, 10034, 5504, 2450, 15464, 14391, 1887, 9870, 7926, 23126, 27431, 23196, 12045, 15617, 22359, 26564, 3607, 9712, 25801, 18862, 4904, 24933, 10534, 4593, 3958, 20981, 355, 22358, 27024, 23757, 26657, 27648, 24882, 26867, 7075, 10563, 10701, 22769, 29612, 18063, 14763, 19083, 28780, 11010, 7073, 19548, 5892, 3253, 16395, 15025, 20958, 17355, 25686, 13972, 29633, 22690, 5504, 404, 9913, 13209, 11821, 22984, 3394, 16438, 17952, 24973, 4160, 8473, 6854, 14358, 21941, 24978, 13761, 2899, 23703, 19122, 20860, 1577, 832, 11045, 9256, 21542, 9951, 25763, 20552, 28984, 4696, 10457, 14536, 22631, 28079, 16772, 2514, 29073, 10341, 4789, 5804, 21401, 10664, 2674, 16606, 16769, 15811, 14772, 25360, 5988, 779, 24394, 23635, 20351, 26939, 5864, 11945, 26509, 27425, 20760, 14139, 5620, 5463, 30170, 17353, 3427, 13221, 22033, 6063, 16924, 7887, 22956, 24275, 3247, 3848, 25522, 3708, 1036, 8258, 16115, 14535, 15155, 436, 13941, 11480, 4956, 8499, 4715, 12808, 12163, 28505, 24655, 1581, 27299, 1770, 18823, 13652, 28236, 23824, 25320, 16633, 25205, 19190, 20163, 7354, 4710, 9531, 25430, 2579, 21004, 6732, 2287, 28194, 21971, 22893, 10230, 4005, 10018, 9085, 6156, 27709, 14267, 1651, 25563, 18156, 5175, 19280, 3858, 25289, 8637, 18100, 10319, 12134, 5001, 12229, 6045, 24420, 29384, 6740, 333, 23811, 24148, 3769, 9531, 9448, 17540, 19025, 14914, 14698, 29644, 6932, 8714, 655, 11927, 8536, 16864, 17965, 17231, 18063, 23040, 27136, 3647, 7207, 21977, 8113, 13714, 6926, 12101, 24100, 10122, 4044, 3771, 3208, 17938, 25843, 27436, 9701, 7675, 1952, 10261, 9914, 28815, 11061, 26085, 23715, 7650, 3016, 6354, 23371, 14851, 23316, 13451, 28288, 22726, 23448, 26443, 15670, 18237, 7153, 2334, 27371, 6597, 26037, 19625, 14488, 2890, 20131, 24270, 11796, 25179, 21847, 26284, 22460, 18295, 5121, 16998, 3386, 1335, 788, 3074, 22315, 6088, 18628, 14411, 23447, 6243, 17775, 5065, 18924, 17713, 10261, 25107, 10128, 11732, 9678, 16451, 12950, 12220, 14301, 10398, 20255, 23036, 15150, 18815, 23637, 22239, 4733, 16617, 28921, 23172, 16152, 25947, 13517, 1056, 30112, 19727, 3044, 24321, 29268, 22852, 5258, 28371, 27993, 24468, 22029, 20880, 13097, 25853, 6143, 22421, 6733, 2708, 15356, 16952, 14480, 19287, 20680, 1295, 25648, 3593, 19377, 27746, 9935, 9201, 26767, 14439, 17142, 25680, 2628, 4777, 814, 10665, 5304, 1669, 22083, 5659, 18695, 17369, 28289, 19209, 26987, 10343, 12445, 10573, 20435, 23737, 25444, 16121, 17361, 1573, 16833, 3795, 12678, 5179, 8287, 17779, 21654, 18592, 16369, 14553, 11611, 18619, 23224, 9045, 22083, 7212, 8399, 3978, 9008, 17919, 1437, 27234, 19969, 24204, 12299, 5849, 12971, 4075, 25026, 14775, 14151, 16420, 29670, 28886, 13931, 8248, 16649, 29869, 18625, 1892, 10756, 3525, 8188, 23167, 29766, 26320, 27519, 21517, 18354, 11061, 11653, 15654, 479, 24121, 2005, 5991, 25313, 22320, 7145, 13654, 2097, 8494, 307, 16671, 14533, 25093, 4768, 25504, 26504, 10338, 27036, 15833, 9433, 18777, 26321, 20360, 29020, 21902, 1539, 25755, 22572, 29573, 7080, 21476, 3686, 9328, 26063, 24489, 24345, 22494, 16643, 10532, 13587, 25149, 748, 21209, 14296, 1983, 10065, 749, 22393, 17749, 17688, 18316, 9714, 18778, 7156, 10001, 4416, 24262, 7257, 12825, 13717, 331, 9222, 20101, 9726, 7911, 25985, 5630, 25895, 18350, 8742, 25784, 21292, 19481, 23049, 28941, 16618, 10449, 20286, 27442, 731, 8064, 15507, 21442, 20368, 9222, 7389, 28499, 16082, 10468, 24013, 14632, 6185, 7058, 7231, 24545, 4767, 18077, 14605, 4401, 15434, 2510, 16912, 29233, 7807, 11254, 29172, 14522, 21430, 16646, 27762, 5827, 3133, 11699, 20711, 905, 29538, 18746, 13636, 14731, 19233, 3210, 18201, 27218, 24644, 29196, 29123, 24746, 3336, 8751, 2117, 16065, 23337, 10409, 6783, 22034, 22987, 20789, 22664, 9272, 15046, 26203, 28926, 27031, 25143, 28385, 8891, 3973, 16232, 12433, 10054, 15808, 16038, 8890, 20471, 2291, 969, 14858, 9145, 19102, 18484, 18629, 15106, 9576, 24411, 27202, 28875, 23842, 13643, 26792, 24260, 24622, 25036, 18730, 21064, 13130, 26651, 21620, 14740, 28366, 26461, 30163, 4623, 12216, 22787, 7521, 6034, 22622, 24265, 20047, 14674, 3484, 13799, 10982, 12906, 17596, 15717, 22034, 148, 9900, 7346, 1271, 19165, 27340, 10763, 8823, 12177, 16904, 11332, 8833, 13063, 7486, 2104, 3176, 15691, 14975, 27749, 6529, 28644, 4081, 11720, 14978, 27939, 1401, 19617, 4542, 16644, 19431, 6220, 28588, 25111, 29065, 20554, 19839, 21350, 30017, 26543, 29481, 27335, 1964, 1342, 14169, 21284, 21997, 5409, 5262, 25416, 5528, 9059, 8744, 18001, 28481, 19262, 23115, 10136, 14008, 7208, 12771, 15423, 12247, 15725, 16734, 11886, 11711, 475, 2541, 5131, 11390, 20489, 2119, 29454, 22187, 20376, 20703, 17283, 18488, 15363, 10778, 8317, 13224, 3858, 10150, 22408, 22410, 18718, 1803, 23924, 4755, 19617, 19088, 853, 12572, 4947, 22594, 15157, 27613, 629, 21823, 19133, 20993, 13046, 20917, 6338, 26961, 4840, 16616, 132, 13426, 7446, 23471, 29269, 248, 3274, 5408, 14745, 29493, 15043, 103, 14437, 8109, 26605, 20943, 6456, 29562, 1934, 26798, 17865, 17891, 13883, 12814, 1551, 6798, 28045, 24320, 3516, 16231, 16576, 17903, 218, 20582, 28898, 21760, 16779, 2753, 22992, 13041, 1934, 28175, 2817, 20684, 12852, 7438, 13767, 8486, 13442, 6533, 13942, 19171, 25389, 4495, 7382, 17077, 21859, 6574, 27678, 11130, 23908, 19936, 9953, 21723, 3257, 22413, 1851, 29670, 12730, 5572, 12286, 22840, 4747, 26478, 25205, 15606, 10499, 4935, 19875, 16622, 29048, 28104, 12970, 3171, 12186, 1305, 28364, 8562, 2304, 6834, 15976, 22352, 15686, 23596, 20566, 20955, 19218, 15105, 21589, 7962, 16967, 29688, 23843, 12810, 24259, 28973, 3518, 13242, 25987, 12883, 5866, 6972, 26089, 6413, 20702, 13531, 25042, 16824, 15423, 6145, 27725, 3036, 25605, 11171, 8872, 28093, 19313, 16442, 9300, 6330, 18634, 1454, 27564, 2326, 15342, 8023, 14376, 8892, 12472, 16250, 4234, 22342, 10445, 24831, 18390, 1695, 25264, 22198, 8839, 6905, 14989, 14527, 1166, 12867, 20830, 23822, 23379, 24933, 8270, 3369, 27811, 22529, 7834, 1333, 26044, 8419, 5689, 18976, 25489, 10972, 13765, 5728, 27803, 27142, 10381, 26667, 26666, 27428, 29262, 11456, 12696, 7679, 25576, 3755, 16197, 11017, 26587, 25792, 9088, 14117, 17929, 21906, 29172, 8983, 17455, 11773, 26470, 10607, 29272, 12756, 27750, 5838, 11754, 15403, 27342, 22107, 13409, 4068, 9983, 17496, 8338, 23821, 2739, 981, 10639, 13524, 5154, 23686, 29694, 16938, 4780, 12178, 17145, 18205, 19580, 20307, 19209, 26791, 28846, 13756, 21194, 27272, 28828, 25413, 6159, 2507, 1031, 17574, 13229, 29084, 14003, 20105, 13435, 5830, 12380, 23982, 365, 17202, 27072, 17427, 13317, 25425, 2783, 13289, 20137, 4560, 5742, 224, 2349, 8424, 9753, 4374, 5195, 1127, 12039, 5206, 24341, 14380, 2856, 23004, 165, 25577, 18825, 19836, 3736, 22661, 14098, 29373, 20815, 3863, 24277, 18227, 29815, 10487, 21130, 26707, 12485, 11723, 4180, 9416, 27243, 16974, 8220, 28741, 26164, 6266, 27738, 18211, 6223, 11145, 7541, 19917, 12375, 24312, 28076, 20236, 7793, 21071, 7977, 18280, 27021, 4591, 18229, 29648, 19515, 9506, 21592, 373, 7709, 1881, 20343, 28180, 13139, 3270, 28020, 5365, 112, 2420, 4975, 23494, 3170, 22971, 7590, 5721, 11009, 8517, 28556, 8465, 17172, 28737, 9882, 10522, 15836, 4285, 21094, 12171, 29634, 3749, 14926, 25878, 26284, 12440, 25126, 2968, 6092, 9644, 4855, 3833, 20288, 9750, 29885, 4096, 28581, 7113, 11245, 26475, 12498, 29382, 10617, 29, 25284, 14437, 5619, 14306, 6231, 117, 14902, 23965, 15172, 26193, 11665, 2239, 7178, 3236, 9787, 16953, 19951, 16482, 22776, 5464, 29615, 9029, 14328, 13115, 4981, 11928, 21482, 18156, 3125, 23542, 18567, 456, 2580, 12385, 26554, 15826, 10035, 6587, 618, 20105, 2159, 22274, 29738, 8560, 1665, 13123, 26535, 19870, 6747, 340, 18084, 24866, 14535, 28379, 28054, 652, 29358, 21240, 17959, 5265, 26088, 5411, 7934, 5656, 1039, 10566, 4047, 11763, 11631, 16843, 706, 26755, 1088, 9902, 14123, 7613, 14373, 27774, 12724, 5024, 780, 15165, 27787, 14663, 18269, 18332, 17415, 25496, 28877, 16908, 10729, 19833, 14579, 25302, 60, 4698, 15094, 13145, 11399, 23617, 12708, 4782, 2272, 11329, 24094, 27657, 5759, 20638, 6397, 16412, 9401, 14734, 11562, 26838, 14710, 28476, 551, 338, 25891, 7602, 2823, 3166, 23942, 24500, 238, 18260, 29615, 2077, 10395, 4287, 1795, 23845, 12399, 6113, 231, 18604, 12296, 6542, 16433, 8584, 10027, 11820, 25817, 14615, 17975, 2132, 18703, 5371, 29730, 20559, 1988, 10139, 21488, 16712, 28295, 10869, 16105, 19699, 29042, 3135, 6456, 5756, 20239, 11742, 17975, 23990, 28847, 23729, 28300, 28462, 7951, 19383, 876, 23860, 13264, 900, 8340, 11711, 7048, 5002, 6833, 23023, 21075, 18861, 27998, 22849, 26123, 3719, 5854, 7726, 1951, 15338, 305, 12756, 18529, 8452, 25162, 24662, 17975, 12302, 11243, 29167, 27290, 10655, 19344, 4387, 18444, 16898, 12743, 19686, 11188, 14250, 28299, 13789, 2535, 7405, 107, 18535, 9759, 29035, 2091, 16029, 27948, 9732, 24925, 4161, 22960, 8470, 25943, 21928, 14152, 27955, 25778, 9142, 9605, 3979, 12979, 2017, 26922, 26494, 969, 16248, 9860, 27646, 21205, 29852, 16718, 23879, 10787, 20288, 6532, 28612, 15489, 12258, 24120, 7537, 20137, 21126, 24612, 10656, 13576, 15073, 8316, 10252, 7467, 15730, 2032, 23281, 27568, 13531, 16095, 334, 19931, 1231, 8476, 11764, 2263, 23004, 26951, 13410, 6211, 13609, 1494, 29534, 5080, 27501, 16253, 4093, 1989, 11702, 4590, 646, 17217, 8649, 20064, 8894, 16633, 14603, 9770, 21014, 14093, 3354, 12085, 20378, 27631, 9654, 26024, 679, 24478, 2283, 3001, 29699, 18594, 16770, 20986, 6644, 20923, 18058, 11607, 5544, 26464, 8175, 2921, 13710, 27187, 22766, 17399, 6433, 26267, 17955, 10903, 20378, 28152, 12980, 1673, 28827, 28028, 13233, 30013, 20892, 17698, 1870, 7214, 26922, 44, 25502, 3051, 4176, 25262, 15692, 13371, 17152, 7264, 23376, 27958, 3117, 16667, 25514, 29883, 2084, 6857, 32, 30249, 28809, 22464, 8631, 21536, 1740, 2657, 25275, 8897, 19380, 15708, 21470, 2716, 20815, 5992, 18143, 11237, 14870, 25820, 11025, 3763, 26590, 5221, 9836, 29317, 28137, 1051, 21559, 3980, 12921, 2004, 19731, 3414, 15865, 3175, 7999, 25330, 30110, 18896, 14683, 9577, 8019, 27662, 21311, 25938, 9209, 29593, 13755, 8624, 13180, 3431, 9526, 20014, 25135, 17833, 19730, 1991, 25117, 25180, 1784, 12200, 13563, 22699, 20020, 15110, 13900, 24091, 21489, 19384, 13083, 16438, 6779, 6247, 2932, 25170, 13989, 8795, 15814, 17324, 13446, 17695, 27373, 24088, 17068, 3364, 13646, 17793, 19114, 11278, 8424, 25961, 16068, 20615, 28627, 8053, 6656, 19822, 27328, 15123, 10698, 26657, 13035, 26685, 12590, 23638, 8852, 16164, 12860, 15608, 10477, 29079, 16687, 8352, 14049, 15896, 11603, 21114, 23425, 19222, 28229, 26013, 6912, 4972, 11513, 4603, 14180, 18893, 5847, 16733, 2689, 1241, 24821, 17755, 30173, 4398, 1306, 14740, 2344, 12750, 24254, 23078, 16013, 22990, 17894, 2164, 13222, 7632, 26574, 24008, 18112, 9833, 19832, 15245, 26758, 29572, 16873, 14804, 21167, 10123, 19018, 29664, 9628, 29166, 591, 18640, 3519, 8152, 22796, 23283, 5657, 4555, 221, 21598, 26231, 25017, 10276, 4074, 11736, 20173, 15499, 26449, 15599, 16397, 559, 6179, 13562, 22930, 28420, 12419, 18376, 16740, 21884, 19285, 27203, 22320, 17040, 5879, 25129, 18439, 6929, 17818, 19337, 11154, 26331, 28421, 3451, 22062, 8697, 6405, 4130, 23398, 30130, 17680, 17881, 3089, 14112, 14929, 7380, 25504, 12791, 24305, 15901, 898, 29754, 19041, 1340, 17766, 20392, 13247, 4605, 17124, 12095, 3651, 29826, 26713, 15269, 307, 18862, 21924, 13984, 18869, 18970, 29552, 1136, 17258, 5597, 7485, 27205, 15910, 7207, 7230, 16834, 2613, 19827, 9760, 16108, 24884, 28408, 20169, 6444, 24660, 11228, 4970, 27379, 25154, 21572, 15846, 12424, 5437, 26970, 14706, 287, 1537, 28763, 3877, 17485, 112, 14348, 3795, 19665, 22872, 18539, 29151, 12063, 2260, 23169, 26938, 25, 16815, 22980, 15416, 2567, 16817, 17683, 10001, 24112, 14684, 29319, 3596, 2579, 20467, 8552, 8414, 26434, 11003, 12850, 205, 30147, 20392, 7200, 26061, 9394, 26233, 11775, 19997, 28364, 27992, 1943, 10193, 835, 9852, 10392, 26750, 6996, 15987, 23065, 22783, 12932, 25298, 21813, 24510, 3449, 22070, 29355, 12938, 3881, 25335, 23957, 5024, 23708, 1294, 24740, 11661, 17836, 13176, 29128, 12660, 9944, 13031, 24276, 11992, 1510, 13258, 22406, 576, 24904, 15316, 18381, 12321, 27104, 6949, 5250, 22886, 20874, 14801, 11834, 15633, 13428, 14121, 13251, 11507, 17400, 17973, 1388, 25853, 30110, 7996, 25251, 3346, 18387, 2901, 8602, 11575, 9132, 19887, 29790, 9137, 23387, 22320, 11191, 5494, 14386, 4431, 29449, 12579, 29306, 21168, 11310, 15027, 10699, 10611, 172, 20628, 13169, 7329, 845, 22398, 25709, 25825, 29699, 13652, 10175, 6986, 276, 23900, 5891, 27049, 9, 5207, 28699, 7365, 1957, 14495, 26682, 9271, 3586, 18386, 16136, 21732, 14624, 29917, 25755, 6387, 20157, 16111, 4402, 24539, 9138, 18111, 13225, 18062, 18775, 27602, 8733, 8256, 25210, 569, 12744, 29336, 5089, 25978, 20122, 13727, 3893, 24578, 4597, 5302, 17329, 17681, 21478, 7641, 3153, 12224, 2791, 13631, 7958, 4286, 28345, 5775, 7132, 13996, 24978, 10722, 19011, 5802, 18701, 22033, 1674, 11165, 24838, 498, 3834, 23232, 6464, 13495, 29355, 179, 1700, 22050, 12404, 20683, 11945, 3960, 12387, 1854, 26745, 13089, 22350, 28054, 5100, 17996, 17432, 4193, 6912, 23979, 6763, 10603, 10828, 13864, 9594, 18205, 28559, 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+
+test4 :: Test
+test4 = TestCase (assertEqual "for (countWays [825, 24952, 83830, 84813, 536, 88277, 4392, 13678, 63624, 31140, 39556, 25904, 15663, 86434, 7579, 78045, 8779, 68661, 21058, 28318, 58373, 69393, 48402, 44766, 11461, 4988, 17652, 25855, 37551, 51948, 58008, 81562, 83364, 13076, 30529, 28112, 41749, 26601, 2083, 42139, 35030, 37495, 3379, 69533, 84973, 49628, 8237, 77013, 6932, 87000, 78476, 89001, 10782, 9164, 59709, 38169, 53181, 38134, 71539, 88846, 87176, 7259, 36248, 19642, 47864, 79184, 19424, 17470, 40947, 7735, 50172, 5198, 63193, 4178, 4521, 58702, 30714, 56161, 37225, 23492, 1060, 72649, 76891, 83028, 30275, 53429, 6764, 4208, 19578, 81008, 27042, 15259, 3486, 61879, 23358, 29994, 15046, 24969, 33050, 57475, 75338, 22495, 20015, 45804, 74282, 84898, 72584, 21374, 9863, 14236, 21284, 70462, 16207, 9099, 76743, 85000, 81692, 57679, 76405, 8141, 82259, 76817, 70937, 29014, 74517, 46846, 68929, 48235, 55887, 7765, 7598, 82349, 62992, 84298, 38659, 57968, 63952, 25012, 21597, 26641, 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30428, 20537, 34573, 36290, 69494, 86308, 87552, 4589, 21372, 41078, 77231, 79780, 8926, 74346, 68266, 39001, 52285, 84024, 6622, 72127, 9552, 36674, 37534, 23477, 13915, 33744, 60674, 34958, 73334, 3255, 29868, 30706, 2583, 9825, 49511, 2505, 44827, 10607, 63741, 57453, 69568, 34214, 43652, 48885, 73341, 28906, 7275, 69505, 79733, 42618, 48814, 34963, 46703, 78694, 11189, 23974, 83315, 22284, 68896, 1949, 28650, 25479, 36040, 39929, 87279, 76462, 81687, 49015, 43494, 49285, 36598, 54948, 46962, 80349, 36844, 22242, 59655, 80816, 56103, 65305, 1212, 35468, 47723, 76064, 86498, 72934, 52329, 5569, 38162, 72018, 80374, 51991, 66055, 48061, 1124, 80087, 14240, 40864, 46879, 84842, 80515, 42255, 39679, 25311, 9189, 59188, 42087, 6904, 59784, 27696, 36622, 22137, 66002, 12640, 45697, 72069, 49415, 70633, 20645, 53047, 57887, 45538, 656, 73395, 54262, 72165, 4824, 51217, 10901, 14173, 41763, 43804, 14144, 5070, 78907, 44708, 46237, 51472, 43701, 24088, 51488, 80673, 37488, 37905, 55487, 4494, 73358, 74508, 42894, 88653, 12682, 4589, 45138, 50255, 12261, 2615, 77837, 68627, 28794, 27410, 34510, 71343, 68454, 65934, 38402, 76757, 21731, 76500, 2879, 27751, 54902, 7533, 18017, 55214, 68921, 67577, 31272, 34005, 75540, 43533, 57017, 80940, 81681, 70141, 30164, 65899, 56592, 12520, 31088, 49391, 28288, 81757, 56286, 5014, 8089, 84041, 4222, 14436, 21428, 45131, 38623, 56150, 13160, 30821, 29361, 69616, 33638, 80114, 46972, 73093, 88235, 34617, 50837, 64545, 69846, 51978, 50574, 50055, 81790, 75099, 52254, 34550, 37833, 33023, 86144, 46070, 33242, 42094, 49365, 27316, 2848, 26378, 15492, 59522, 38817, 10184, 44499, 35349, 55148, 18431, 84351, 21851, 70556, 66301, 36373, 85454, 73699, 49704, 78307, 45997, 54545, 40127, 67335, 22346, 3383, 81857, 46025, 62976, 6634, 83386, 84370, 69723, 35995, 63056, 33736, 55010, 10794, 51471, 16632, 18832, 49745, 73931, 35996, 15334, 15305, 83672, 49222, 50811, 13486, 41318, 5971, 60187, 14522, 6158, 68129, 49302, 77118, 34309, 75885, 34913, 2165, 74093, 13128, 54168, 20944, 60158, 31144, 23556, 57665, 65712, 50048, 71033, 20710, 6400, 31285, 11298, 17289, 46148, 38330, 63556, 57797, 39972, 72323, 39714, 639, 15161, 84783, 71759, 58755, 59341, 3883, 82149, 44686, 13133, 55449, 69804, 3397, 83776, 81776, 37183, 88880, 60243, 85857, 11642, 16806, 62456, 86915, 72216, 70401, 55479, 43946, 3219, 75752, 17915, 44668, 57401, 84819, 88752, 66880, 51062, 10015, 71008, 63505, 82686, 14857, 38710, 55201, 76999, 30939, 66236, 87119, 61343, 83498, 74133, 31511, 64422, 59687, 81628, 3423, 4662, 27920, 14313, 57280, 64067, 17087, 67505, 55225, 87708, 8223, 64642, 86395, 56891, 60794, 85057, 30980, 73828, 12821, 83610, 12766, 73957, 75212, 28665, 2357, 9212, 72645, 43414, 11355, 46513, 21596, 81660, 5483, 52305, 2120, 69639, 61039, 57990, 87320, 85023, 33990, 50098, 2888, 88642, 65929, 64328, 55790, 67920, 13934, 38989, 71672, 47541, 65978, 63129, 62640, 55933, 35837, 81973, 15892, 40407, 29197, 964, 82983, 2301, 63900, 37399, 50355, 12400, 24441, 69521, 62266, 7976, 54400, 89027, 20448, 3593, 52645, 256, 5943, 84321, 7682, 13812, 62930, 1387, 55933, 2654, 17061, 15539, 11657, 82771, 59082, 69136, 73846, 67634, 54086, 32108, 16463, 50793, 11135, 50578, 89003, 25382, 88844, 50539, 44749, 35568, 84330, 85883, 54531, 26193, 71070, 74592, 70468, 80492, 29677, 69162, 68267, 60201, 71711, 69030, 45629, 25991, 52078, 43603, 22040, 68834, 33055, 30399, 26031, 51625, 28929, 11082, 3130, 460, 30486, 35454, 66797, 82336, 50279, 26441, 24178, 32299, 48736, 14181, 5449, 23574, 88267, 20097, 64450, 935, 66010, 17283, 75386, 35832, 81931, 54136, 87866, 12062, 25975, 62449, 30874, 10514, 52012, 56315, 79308, 59739, 55626, 77926, 85746, 33106, 73464, 26927, 68709, 17606, 86853, 80823, 43234, 8171, 50556, 67480, 45216, 26197, 87351, 79808, 30466, 31064, 35229, 65128, 53765, 52879, 39317, 53210, 15710, 60839, 52476, 23803, 8953, 13725, 55544, 52134, 66877, 52370, 9264, 42596, 1969, 2021, 48406, 1466, 72256, 42942, 1280, 6665, 23004, 68550, 79267, 68072, 82487, 64527, 830, 8272, 77963, 72384, 85910, 11151, 871, 73139, 70535, 9119, 43820, 10193, 13656, 87027, 88907, 44063, 49776, 68489, 68813, 82197, 18084, 73648, 5769, 13118, 10446, 56102, 27752, 74889, 11158, 35630, 44799, 50716, 27315, 64912, 30856, 74196, 23389, 30976, 47144, 29248, 68501, 49747, 55468, 58965, 23305, 17989, 56722, 63673, 59454, 26413, 323, 74068, 82204, 32250, 24809, 47522, 73702, 26893, 42779, 25422, 24174, 62148, 63972, 79181, 53942, 19569, 3845, 2648, 82109, 89165, 72682, 88226, 46931, 11157, 67028, 14280, 73709, 60120, 34143, 87035, 76311, 80351, 24798, 40319, 17310, 54000, 80123, 70393, 9324, 33720, 41053, 22871, 84185, 13271, 77445, 45437, 70541, 33881, 36279, 11458, 76756, 504, 12923, 7846, 40197, 48688, 3765, 20935, 28168, 58165, 10934, 81156, 22648, 25469, 60908, 85310, 46159, 67903, 33347, 56986, 25741, 15766, 14831, 1043, 16717, 9788, 50519, 67713, 53280, 85101, 7611, 55984, 83818, 54312, 18404, 60303, 81838, 52833, 70776, 65084, 35371, 70039, 84764, 8801, 34953, 65906, 56706, 33584, 58698, 60848, 12132, 17633, 38960, 57804, 34454, 11610, 68626, 45225, 9099, 23696, 16978, 3948, 19524, 50304, 70659, 10492, 46996, 15695, 52166, 15479, 64551, 16842, 36719, 15094, 66054, 77575, 5792, 88124, 37046, 81193, 8524, 45578, 30760, 27371, 51436, 7338, 86697, 80707, 81835, 29938, 62623, 6359, 84076, 86970, 17714, 44461, 21116, 86730, 56520, 72774, 74612, 39504, 14799, 37201, 11315, 86954, 6313, 60023, 12630, 20228, 21774, 25420, 43021, 70880, 69803, 32833, 12611, 13880, 56983, 37669, 9781, 17017, 59356, 46997, 87392, 38886, 59094, 48985, 85384, 26715, 38261, 3801, 7587, 37458, 26653, 30432, 42972, 31253, 55131, 41963, 10607, 59374, 33294, 85202, 61679, 82433, 83101, 66987, 57050, 39453, 24445, 8116, 25398, 47725, 1294, 34319, 41176, 88107, 6797, 55969, 4820, 5128, 7265, 78797, 55197, 51515, 77023, 88666, 6410, 22962, 72401, 76283, 40311, 18800, 60269, 71274, 14487, 72054, 41380, 63008, 34767, 86994, 10049, 10426, 32456, 13285, 39440, 16870, 51565, 85499, 88356, 29932, 15611, 53914, 60907, 63360, 675, 73213, 10702, 32126, 26898, 35228, 77830, 8341, 71514, 84624, 28313, 14474, 41880, 59758, 53959, 54231, 15565, 81406, 4301, 62033, 24722, 82916, 68630, 22355, 2054, 15855, 13946, 57474, 53165, 83171, 10220, 29393, 3804, 26207, 46304, 18980, 12138, 68997, 43034, 26224, 56248, 31174, 71933, 15045, 32932, 77096, 80275, 22964, 76967, 4920, 30903, 32970, 25020, 14615, 54908, 81569, 21518, 87365, 46404, 42140, 83272, 69759, 72764, 42120, 37022, 56044, 58365, 84464, 42143, 5507, 77695, 28543, 23888, 61891, 65946, 73318, 42127, 76732, 40868, 48095, 53016, 22095, 62781, 63088, 5264, 77751, 41901, 82362, 64446, 78982, 77879, 61256, 56661, 75162, 26925, 40503, 48469, 64706, 15726, 19157, 14603, 15527, 19957, 15314, 12178, 48049, 21169, 26564, 405, 44989, 27485, 24466, 68601, 1008, 25330, 76017, 10677, 57299, 76392, 85714, 3649, 17692, 78239, 67945, 88544, 8724, 8165, 64742, 42393, 8111, 73214, 12745, 46659, 28815, 75656, 53744, 59946, 30349, 77486, 63850, 38146, 75810, 39472, 53270, 68018, 22500, 50420, 48761, 25136, 17323, 71025, 70521, 53563, 74331, 7244, 71570, 83097, 61126, 73190, 22092, 48989, 34972, 37279, 64092, 50595, 46637, 7499, 39421, 79794, 37928, 85958, 55941, 18681, 41964, 10356, 2485, 21976, 4774, 27603, 43368, 9449, 48372, 25091, 28128, 118, 61645, 63221, 32394, 75087, 88113, 33438, 75773, 38697, 67561, 65654, 38991, 16989, 78762, 73666, 65336, 20441, 17372, 68023, 65137, 13874, 76946, 2455, 48660, 58943, 76714, 16492, 84463, 66636, 74230, 46939, 30786, 47229, 84618, 66731, 52402, 80654, 12556, 65011, 6729, 52978, 39233, 66246, 806, 80470, 5808, 2851, 10622, 57941, 80621, 19546, 4031, 44955, 37927, 11364, 5819, 41975, 77410, 62868, 85101, 577, 34776, 53633, 13550, 72600, 65646, 65235, 18976, 56894, 73987, 44526, 33635, 68168, 69480, 976, 28561, 25633, 40988, 41467, 44269, 15654, 21511, 27561, 5722, 62834, 64759, 80401, 25778, 344, 76482, 80581, 20559, 49506, 65347, 34590, 61047, 61630, 78817, 75328, 78009, 30440, 74722, 32069, 78353, 3866, 13433, 73516, 48285, 2956, 47278, 38572, 80001, 80962, 11088, 85968, 74970, 38155, 56707, 56963, 77020, 46032, 50588, 83483, 66324, 4216, 81902, 68277, 45976, 80101, 35662, 50460, 60267, 54135, 10641, 30336, 35937, 70863, 6948, 78556, 48049, 60939, 80079, 78508, 24383, 55682, 16995, 52142, 19650, 56923, 13054, 75176, 17195, 59972, 52596, 42325, 87854, 32020, 8466, 173, 80558, 64149, 58161, 48086, 24934, 86576, 74362, 59343, 44250, 33890, 9755, 22826, 18827, 59546, 54798, 14887, 81420, 49098, 28531, 2823, 34311, 1965, 45418, 23882, 6922, 23045, 36576, 83068, 34601, 42643, 74349, 535, 26776, 59528, 7450, 18643, 23566, 69289, 87643, 64575, 44692, 25416, 6823, 76231, 12386, 40352, 76556, 5908, 68113, 40736, 69597, 57068, 41806, 6093, 13417, 19323, 3547, 38170, 20433, 35569, 82003, 12236, 37246, 6341, 84726, 66150, 89091, 70767, 30908, 59516, 7685, 79886, 38058, 88858, 42977, 16029, 76728, 32565, 70892, 19661, 52118, 44015, 1565, 31240, 28940, 49394, 22851, 26696, 45586, 1730, 63393, 55797, 73687, 30352, 59444, 62813, 44844, 22608, 60596, 76489, 31889, 13141, 41469, 68609, 79725, 59020, 46528, 19314, 41687, 72949, 78637, 9605, 82686, 56500, 72373, 626, 14217, 9419, 29496, 51160, 1798, 18731, 24555, 18228, 34702, 11751, 17647, 54799, 13322, 21227, 13604, 80343, 31710, 61444, 44519, 62924, 14881, 2586, 4780, 19256, 34841, 855, 56509, 68622, 36098, 32224, 3489, 9045, 26821, 77037, 54992, 67052, 28334, 71891, 7737, 59942, 13278, 63944, 87637, 9029, 42144, 8875, 17945, 54495, 7363, 4995, 32991, 81958, 33310, 57919, 81335, 65154, 37894, 3825, 59211, 70227, 29990, 8625, 48096, 32738, 62768, 23215, 63537, 44272, 82954, 41733, 70993, 36413, 79956, 30219, 12203, 56752, 58577, 39329, 77720, 73374, 24097, 66666, 61612, 37161, 19475, 47140, 50249, 74670, 74626, 58101, 65731, 17759, 71473, 61084, 48335, 36022, 31081, 660, 81365, 3859, 75696, 28010, 36803, 51516, 46138, 61747, 84720, 7193, 65307, 84160, 34412, 27786, 58253, 34101, 62645, 1976, 27125, 13809, 57186, 8107, 42106, 73869, 28445, 60427, 12210, 52100, 38234, 35076, 2158, 49172, 68700, 63245, 52133, 39215, 73022, 637, 17031, 33021, 22990, 80047, 31699, 37528, 16852, 32337, 9641, 76289, 55905, 34792, 11351, 52001, 35997, 84590, 84800, 2346, 12480, 26393, 29198, 19981, 24680, 48833, 88325, 55653, 37249, 674, 19832, 79222, 63669, 39014, 68861, 86470, 23305, 38448, 69298, 83669, 16049, 81195, 85803, 83913, 28259, 80066, 43856, 65292, 12538, 19938, 68702, 78671, 11814, 84994, 41490, 13497, 27011, 76653, 40252, 24548, 58950, 71290, 8480, 45522, 59210, 77170, 27452, 72351, 16135, 77037, 33396, 18563, 75925, 2526, 85740, 17316, 34956, 80338, 53218, 52042, 79651, 73888, 51058, 6550, 32973, 53772, 26150, 38448, 64095, 62908, 24814, 41772, 25948, 11927, 41822, 81333, 11462, 69387, 15587, 70248, 67049, 24645, 13960, 66432, 24362, 34908, 67238, 28556, 30271, 64304, 3231, 39812, 66320, 58075, 31991, 52604, 10080, 43982, 80693, 45040, 55217, 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+
+test5 :: Test
+test5 = TestCase (assertEqual "for (countWays [11823, 15317, 27254, 40015, 31312, 15312, 16634, 957, 4640, 11977, 27723, 24170, 13942, 1273, 27731, 26388, 3137, 31299, 12492, 31711, 27613, 29375, 24882, 387, 38518, 36328, 20598, 27152, 19753, 32790, 25973, 26663, 5659, 15996, 7436, 36642, 34700, 15411, 27693, 4811, 3981, 2005, 28356, 13860, 12444, 2113, 7500, 31176, 39898, 19239, 9017, 27128, 33827, 27851, 26491, 38117, 31195, 15806, 7503, 8399, 27647, 36800, 31662, 18603, 41965, 11632, 33683, 1934, 15727, 9351, 28121, 36220, 32877, 40957, 14385, 24036, 33573, 32155, 21911, 35686, 38512, 3256, 28358, 34704, 16356, 3247, 17468, 20770, 34572, 42139, 36565, 14029, 22031, 22796, 7637, 30891, 33148, 28211, 4023, 24045, 21158, 4231, 209, 21301, 4905, 14626, 7842, 1950, 31890, 2909, 5400, 40539, 13592, 35000, 9651, 41289, 37567, 6068, 41029, 36537, 21848, 1284, 23232, 22973, 28466, 19578, 8005, 41555, 42245, 27454, 26400, 40202, 26489, 9707, 22241, 15992, 38965, 30933, 19, 7475, 20731, 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+
+test6 :: Test
+test6 = TestCase (assertEqual "for (countWays [32717, 6764, 941, 12944, 15889, 45575, 41154, 39359, 28663, 32716, 46253, 31676, 9131, 10986, 24625, 32132, 43125, 17685, 3859, 36019, 50037, 18369, 7979, 34603, 36496, 26154, 13323, 10166, 36316, 27691, 48556, 47503, 14038, 3784, 18626, 17606, 40716, 43779, 48075, 29606, 21858, 25535, 41013, 32892, 17656, 44251, 26342, 3998, 37981, 435, 13306, 32649, 20702, 16464, 12817, 22671, 19220, 32210, 3067, 34776, 48483, 15602, 49534, 49190, 29757, 1818, 22057, 7105, 35534, 42334, 49559, 44542, 50313, 1995, 9693, 8078, 40214, 47315, 50409, 31302, 37185, 33235, 33067, 7962, 21420, 44067, 34829, 5275, 2672, 33982, 21593, 5447, 40241, 24280, 14962, 47642, 10092, 9749, 32653, 32671, 14488, 35414, 2199, 15133, 33352, 40238, 17380, 24888, 35298, 9266, 47942, 12495, 2713, 17405, 46476, 6897, 17345, 32191, 44721, 34742, 17155, 46643, 5733, 31113, 44691, 35242, 34053, 21225, 15965, 52358, 19346, 394, 28598, 294, 44505, 24819, 15067, 14556, 43036, 8300, 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+
+test7 :: Test
+test7 = TestCase (assertEqual "for (countWays [12007, 9814, 14297, 16460, 3844, 7448, 3486, 14086, 16010, 17028, 9074, 10402, 17494, 6256, 17455, 3886, 7003, 15401, 11648, 12817, 21200, 10189, 16160, 17020, 20158, 5495, 17946, 20003, 6912, 6394, 2683, 19999, 12661, 17759, 11056, 8519, 13766, 5235, 13820, 9867, 4254, 12784, 3140, 8682, 14760, 12815, 5277, 5446, 8350, 19605, 8225, 21504, 4194, 16766, 2373, 20892, 7527, 1683, 12063, 10828, 4648, 4931, 4161, 19237, 19136, 15775, 10862, 7235, 642, 17363, 20527, 12332, 16147, 12358, 2742, 14550, 14731, 1371, 6482, 20437, 16606, 21173, 2591, 84, 16826, 2322, 1519, 12269, 20383, 2291, 374, 4600, 21285, 4623, 1373, 3819, 5854, 7743, 6538, 5301, 7732, 12958, 1506, 19034, 2612, 20855, 10870, 18950, 20068, 1067, 9471, 14355, 17272, 20381, 3021, 11823, 12516, 1734, 6637, 3554, 3438, 21052, 21165, 19695, 14865, 12478, 10269, 20542, 19377, 11513, 13625, 20993, 9967, 2460, 9505, 944, 9640, 9696, 6656, 21664, 13536, 13646, 21276, 21109, 2634, 4961, 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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]
+
+-- Running the tests
+main :: IO Counts
+main = runTestTT tests