# A file containing the results of our simulations.
# Every entry consists of a key. This key has input category, number of dice, and number of rolls.
# The value then shows a list of all possible scores to get, and how many times of 100000 it achieved.

# example: ("Category Choice", 2, 2):
# {8: 13639, 9: 12220, 10: 13755, 5: 4889, 6: 9840, 7: 14772, 12: 7780, 11: 15622, 2: 1269, 3: 2445, 4: 3769}
# this example shows the outcomes for the category "Category Choice", with 2 dice and 2 rolls.
# 13639 out of 100000 times, a score of 8 was achieved for example.
yacht_weights = {
    ("Category Ones", 0, 0): {0: 100000},
    ("Category Ones", 0, 1): {0: 100000},
    ("Category Ones", 0, 2): {0: 100000},
    ("Category Ones", 0, 3): {0: 100000},
    ("Category Ones", 0, 4): {0: 100000},
    ("Category Ones", 0, 5): {0: 100000},
    ("Category Ones", 0, 6): {0: 100000},
    ("Category Ones", 0, 7): {0: 100000},
    ("Category Ones", 0, 8): {0: 100000},
    ("Category Ones", 1, 0): {0: 100000},
    ("Category Ones", 1, 1): {0: 83416, 1: 16584},
    ("Category Ones", 1, 2): {0: 69346, 1: 30654},
    ("Category Ones", 1, 3): {0: 57756, 1: 42244},
    ("Category Ones", 1, 4): {0: 48709, 1: 51291},
    ("Category Ones", 1, 5): {0: 40214, 1: 59786},
    ("Category Ones", 1, 6): {0: 33491, 1: 66509},
    ("Category Ones", 1, 7): {0: 27838, 1: 72162},
    ("Category Ones", 1, 8): {0: 23094, 1: 76906},
    ("Category Ones", 2, 0): {0: 100000},
    ("Category Ones", 2, 1): {0: 69715, 1: 30285},
    ("Category Ones", 2, 2): {0: 48066, 1: 51934},
    ("Category Ones", 2, 3): {0: 33544, 1: 48585, 2: 17871},
    ("Category Ones", 2, 4): {0: 23342, 1: 50092, 2: 26566},
    ("Category Ones", 2, 5): {0: 16036, 1: 48250, 2: 35714},
    ("Category Ones", 2, 6): {0: 11355, 1: 44545, 2: 44100},
    ("Category Ones", 2, 7): {0: 7812, 1: 40248, 2: 51940},
    ("Category Ones", 2, 8): {0: 5395, 1: 35484, 2: 59121},
    ("Category Ones", 3, 0): {0: 100000},
    ("Category Ones", 3, 1): {0: 57462, 1: 42538},
    ("Category Ones", 3, 2): {0: 33327, 1: 44253, 2: 22420},
    ("Category Ones", 3, 3): {0: 19432, 1: 42237, 2: 38331},
    ("Category Ones", 3, 4): {0: 11191, 1: 36208, 2: 38606, 3: 13995},
    ("Category Ones", 3, 5): {0: 6536, 1: 28891, 2: 43130, 3: 21443},
    ("Category Ones", 3, 6): {0: 3697, 1: 22501, 2: 44196, 3: 29606},
    ("Category Ones", 3, 7): {0: 2134, 2: 60499, 3: 37367},
    ("Category Ones", 3, 8): {0: 1280, 2: 53518, 3: 45202},
    ("Category Ones", 4, 0): {0: 100000},
    ("Category Ones", 4, 1): {0: 48178, 1: 38635, 2: 13187},
    ("Category Ones", 4, 2): {0: 23349, 1: 40775, 2: 35876},
    ("Category Ones", 4, 3): {0: 11366, 1: 32547, 2: 35556, 3: 20531},
    ("Category Ones", 4, 4): {0: 5331, 1: 23241, 2: 37271, 3: 34157},
    ("Category Ones", 4, 5): {0: 2640, 2: 49872, 3: 47488},
    ("Category Ones", 4, 6): {0: 1253, 2: 39816, 3: 39298, 4: 19633},
    ("Category Ones", 4, 7): {0: 6915, 2: 24313, 3: 41680, 4: 27092},
    ("Category Ones", 4, 8): {0: 4228, 3: 61312, 4: 34460},
    ("Category Ones", 5, 0): {0: 100000},
    ("Category Ones", 5, 1): {0: 40042, 1: 40202, 2: 19756},
    ("Category Ones", 5, 2): {0: 16212, 1: 35432, 2: 31231, 3: 17125},
    ("Category Ones", 5, 3): {0: 6556, 1: 23548, 2: 34509, 3: 35387},
    ("Category Ones", 5, 4): {0: 2552, 2: 44333, 3: 32048, 4: 21067},
    ("Category Ones", 5, 5): {0: 8783, 2: 23245, 3: 34614, 4: 33358},
    ("Category Ones", 5, 6): {0: 4513, 3: 49603, 4: 32816, 5: 13068},
    ("Category Ones", 5, 7): {0: 2295, 3: 40470, 4: 37869, 5: 19366},
    ("Category Ones", 5, 8): {0: 73, 3: 33115, 4: 40166, 5: 26646},
    ("Category Ones", 6, 0): {0: 100000},
    ("Category Ones", 6, 1): {0: 33501, 1: 40042, 2: 26457},
    ("Category Ones", 6, 2): {0: 11326, 1: 29379, 2: 32368, 3: 26927},
    ("Category Ones", 6, 3): {0: 3764, 2: 46660, 3: 28928, 4: 20648},
    ("Category Ones", 6, 4): {0: 1231, 2: 29883, 3: 31038, 4: 37848},
    ("Category Ones", 6, 5): {0: 4208, 3: 41897, 4: 30878, 5: 23017},
    ("Category Ones", 6, 6): {0: 1850, 3: 30396, 4: 33022, 5: 34732},
    ("Category Ones", 6, 7): {0: 5503, 4: 48099, 5: 32432, 6: 13966},
    ("Category Ones", 6, 8): {0: 2896, 4: 39616, 5: 37005, 6: 20483},
    ("Category Ones", 7, 0): {0: 100000},
    ("Category Ones", 7, 1): {0: 27838, 1: 39224, 2: 32938},
    ("Category Ones", 7, 2): {0: 7796, 1: 23850, 2: 31678, 3: 23224, 4: 13452},
    ("Category Ones", 7, 3): {0: 2247, 2: 35459, 3: 29131, 4: 33163},
    ("Category Ones", 7, 4): {0: 5252, 3: 41207, 4: 28065, 5: 25476},
    ("Category Ones", 7, 5): {0: 174, 3: 29347, 4: 28867, 5: 26190, 6: 15422},
    ("Category Ones", 7, 6): {0: 4625, 4: 38568, 5: 30596, 6: 26211},
    ("Category Ones", 7, 7): {0: 230, 4: 30109, 5: 32077, 6: 37584},
    ("Category Ones", 7, 8): {0: 5519, 5: 45718, 6: 33357, 7: 15406},
    ("Category Ones", 8, 0): {0: 100000},
    ("Category Ones", 8, 1): {0: 23156, 1: 37295, 2: 26136, 3: 13413},
    ("Category Ones", 8, 2): {0: 5472, 2: 48372, 3: 25847, 4: 20309},
    ("Category Ones", 8, 3): {0: 8661, 3: 45896, 4: 24664, 5: 20779},
    ("Category Ones", 8, 4): {0: 2807, 3: 29707, 4: 27157, 5: 23430, 6: 16899},
    ("Category Ones", 8, 5): {0: 5173, 4: 36033, 5: 27792, 6: 31002},
    ("Category Ones", 8, 6): {0: 255, 4: 25642, 5: 27508, 6: 27112, 7: 19483},
    ("Category Ones", 8, 7): {0: 4236, 5: 35323, 6: 30438, 7: 30003},
    ("Category Ones", 8, 8): {0: 310, 5: 27692, 6: 30830, 7: 41168},
    ("Category Twos", 0, 0): {0: 100000},
    ("Category Twos", 0, 1): {0: 100000},
    ("Category Twos", 0, 2): {0: 100000},
    ("Category Twos", 0, 3): {0: 100000},
    ("Category Twos", 0, 4): {0: 100000},
    ("Category Twos", 0, 5): {0: 100000},
    ("Category Twos", 0, 6): {0: 100000},
    ("Category Twos", 0, 7): {0: 100000},
    ("Category Twos", 0, 8): {0: 100000},
    ("Category Twos", 1, 0): {0: 100000},
    ("Category Twos", 1, 1): {0: 83475, 2: 16525},
    ("Category Twos", 1, 2): {0: 69690, 2: 30310},
    ("Category Twos", 1, 3): {0: 57818, 2: 42182},
    ("Category Twos", 1, 4): {0: 48418, 2: 51582},
    ("Category Twos", 1, 5): {0: 40301, 2: 59699},
    ("Category Twos", 1, 6): {0: 33558, 2: 66442},
    ("Category Twos", 1, 7): {0: 28182, 2: 71818},
    ("Category Twos", 1, 8): {0: 23406, 2: 76594},
    ("Category Twos", 2, 0): {0: 100000},
    ("Category Twos", 2, 1): {0: 69724, 2: 30276},
    ("Category Twos", 2, 2): {0: 48238, 2: 42479, 4: 9283},
    ("Category Twos", 2, 3): {0: 33290, 2: 48819, 4: 17891},
    ("Category Twos", 2, 4): {0: 23136, 2: 49957, 4: 26907},
    ("Category Twos", 2, 5): {0: 16146, 2: 48200, 4: 35654},
    ("Category Twos", 2, 6): {0: 11083, 2: 44497, 4: 44420},
    ("Category Twos", 2, 7): {0: 7662, 2: 40343, 4: 51995},
    ("Category Twos", 2, 8): {0: 5354, 2: 35526, 4: 59120},
    ("Category Twos", 3, 0): {0: 100000},
    ("Category Twos", 3, 1): {0: 58021, 2: 34522, 4: 7457},
    ("Category Twos", 3, 2): {0: 33548, 2: 44261, 4: 22191},
    ("Category Twos", 3, 3): {0: 19375, 2: 42372, 4: 30748, 6: 7505},
    ("Category Twos", 3, 4): {0: 10998, 2: 36435, 4: 38569, 6: 13998},
    ("Category Twos", 3, 5): {0: 6519, 2: 28838, 4: 43283, 6: 21360},
    ("Category Twos", 3, 6): {0: 3619, 2: 22498, 4: 44233, 6: 29650},
    ("Category Twos", 3, 7): {0: 2195, 2: 16979, 4: 43684, 6: 37142},
    ("Category Twos", 3, 8): {0: 1255, 2: 12420, 4: 40920, 6: 45405},
    ("Category Twos", 4, 0): {0: 100000},
    ("Category Twos", 4, 1): {0: 48235, 2: 38602, 4: 13163},
    ("Category Twos", 4, 2): {0: 23289, 2: 40678, 4: 27102, 6: 8931},
    ("Category Twos", 4, 3): {0: 11177, 2: 32677, 4: 35702, 6: 20444},
    ("Category Twos", 4, 4): {0: 5499, 2: 23225, 4: 37240, 6: 26867, 8: 7169},
    ("Category Twos", 4, 5): {0: 2574, 2: 15782, 4: 34605, 6: 34268, 8: 12771},
    ("Category Twos", 4, 6): {0: 1259, 4: 39616, 6: 39523, 8: 19602},
    ("Category Twos", 4, 7): {0: 622, 4: 30426, 6: 41894, 8: 27058},
    ("Category Twos", 4, 8): {0: 4091, 4: 18855, 6: 42309, 8: 34745},
    ("Category Twos", 5, 0): {0: 100000},
    ("Category Twos", 5, 1): {0: 40028, 2: 40241, 4: 19731},
    ("Category Twos", 5, 2): {0: 16009, 2: 35901, 4: 31024, 6: 17066},
    ("Category Twos", 5, 3): {0: 6489, 2: 23477, 4: 34349, 6: 25270, 8: 10415},
    ("Category Twos", 5, 4): {0: 2658, 2: 14032, 4: 30199, 6: 32214, 8: 20897},
    ("Category Twos", 5, 5): {0: 1032, 4: 31627, 6: 33993, 8: 25853, 10: 7495},
    ("Category Twos", 5, 6): {0: 450, 4: 20693, 6: 32774, 8: 32900, 10: 13183},
    ("Category Twos", 5, 7): {0: 2396, 4: 11231, 6: 29481, 8: 37636, 10: 19256},
    ("Category Twos", 5, 8): {0: 1171, 6: 31564, 8: 40798, 10: 26467},
    ("Category Twos", 6, 0): {0: 100000},
    ("Category Twos", 6, 1): {0: 33502, 2: 40413, 4: 26085},
    ("Category Twos", 6, 2): {0: 11210, 2: 29638, 4: 32701, 6: 18988, 8: 7463},
    ("Category Twos", 6, 3): {0: 3673, 2: 16459, 4: 29795, 6: 29102, 8: 20971},
    ("Category Twos", 6, 4): {0: 1243, 4: 30025, 6: 31053, 8: 25066, 10: 12613},
    ("Category Twos", 6, 5): {0: 4194, 4: 13949, 6: 28142, 8: 30723, 10: 22992},
    ("Category Twos", 6, 6): {0: 1800, 6: 30677, 8: 32692, 10: 26213, 12: 8618},
    ("Category Twos", 6, 7): {0: 775, 6: 21013, 8: 31410, 10: 32532, 12: 14270},
    ("Category Twos", 6, 8): {0: 2855, 6: 11432, 8: 27864, 10: 37237, 12: 20612},
    ("Category Twos", 7, 0): {0: 100000},
    ("Category Twos", 7, 1): {0: 27683, 2: 39060, 4: 23574, 6: 9683},
    ("Category Twos", 7, 2): {0: 7824, 2: 24031, 4: 31764, 6: 23095, 8: 13286},
    ("Category Twos", 7, 3): {0: 2148, 2: 11019, 4: 24197, 6: 29599, 8: 21250, 10: 11787},
    ("Category Twos", 7, 4): {0: 564, 4: 19036, 6: 26395, 8: 28409, 10: 18080, 12: 7516},
    ("Category Twos", 7, 5): {0: 1913, 6: 27198, 8: 29039, 10: 26129, 12: 15721},
    ("Category Twos", 7, 6): {0: 54, 6: 17506, 8: 25752, 10: 30413, 12: 26275},
    ("Category Twos", 7, 7): {0: 2179, 8: 28341, 10: 32054, 12: 27347, 14: 10079},
    ("Category Twos", 7, 8): {0: 942, 8: 19835, 10: 30248, 12: 33276, 14: 15699},
    ("Category Twos", 8, 0): {0: 100000},
    ("Category Twos", 8, 1): {0: 23378, 2: 37157, 4: 26082, 6: 13383},
    ("Category Twos", 8, 2): {0: 5420, 2: 19164, 4: 29216, 6: 25677, 8: 20523},
    ("Category Twos", 8, 3): {0: 1271, 4: 26082, 6: 27054, 8: 24712, 10: 20881},
    ("Category Twos", 8, 4): {0: 2889, 6: 29552, 8: 27389, 10: 23232, 12: 16938},
    ("Category Twos", 8, 5): {0: 879, 6: 16853, 8: 23322, 10: 27882, 12: 20768, 14: 10296},
    ("Category Twos", 8, 6): {0: 2041, 8: 24140, 10: 27398, 12: 27048, 14: 19373},
    ("Category Twos", 8, 7): {0: 74, 8: 15693, 10: 23675, 12: 30829, 14: 22454, 16: 7275},
    ("Category Twos", 8, 8): {2: 2053, 10: 25677, 12: 31310, 14: 28983, 16: 11977},
    ("Category Threes", 0, 0): {0: 100000},
    ("Category Threes", 0, 1): {0: 100000},
    ("Category Threes", 0, 2): {0: 100000},
    ("Category Threes", 0, 3): {0: 100000},
    ("Category Threes", 0, 4): {0: 100000},
    ("Category Threes", 0, 5): {0: 100000},
    ("Category Threes", 0, 6): {0: 100000},
    ("Category Threes", 0, 7): {0: 100000},
    ("Category Threes", 0, 8): {0: 100000},
    ("Category Threes", 1, 0): {0: 100000},
    ("Category Threes", 1, 1): {0: 83343, 3: 16657},
    ("Category Threes", 1, 2): {0: 69569, 3: 30431},
    ("Category Threes", 1, 3): {0: 57872, 3: 42128},
    ("Category Threes", 1, 4): {0: 48081, 3: 51919},
    ("Category Threes", 1, 5): {0: 40271, 3: 59729},
    ("Category Threes", 1, 6): {0: 33201, 3: 66799},
    ("Category Threes", 1, 7): {0: 27903, 3: 72097},
    ("Category Threes", 1, 8): {0: 23240, 3: 76760},
    ("Category Threes", 2, 0): {0: 100000},
    ("Category Threes", 2, 1): {0: 69419, 3: 30581},
    ("Category Threes", 2, 2): {0: 48202, 3: 42590, 6: 9208},
    ("Category Threes", 2, 3): {0: 33376, 3: 48849, 6: 17775},
    ("Category Threes", 2, 4): {0: 23276, 3: 49810, 6: 26914},
    ("Category Threes", 2, 5): {0: 16092, 3: 47718, 6: 36190},
    ("Category Threes", 2, 6): {0: 11232, 3: 44515, 6: 44253},
    ("Category Threes", 2, 7): {0: 7589, 3: 40459, 6: 51952},
    ("Category Threes", 2, 8): {0: 5447, 3: 35804, 6: 58749},
    ("Category Threes", 3, 0): {0: 100000},
    ("Category Threes", 3, 1): {0: 57964, 3: 34701, 6: 7335},
    ("Category Threes", 3, 2): {0: 33637, 3: 44263, 6: 22100},
    ("Category Threes", 3, 3): {0: 19520, 3: 42382, 6: 30676, 9: 7422},
    ("Category Threes", 3, 4): {0: 11265, 3: 35772, 6: 39042, 9: 13921},
    ("Category Threes", 3, 5): {0: 6419, 3: 28916, 6: 43261, 9: 21404},
    ("Category Threes", 3, 6): {0: 3810, 3: 22496, 6: 44388, 9: 29306},
    ("Category Threes", 3, 7): {0: 2174, 3: 16875, 6: 43720, 9: 37231},
    ("Category Threes", 3, 8): {0: 1237, 3: 12471, 6: 41222, 9: 45070},
    ("Category Threes", 4, 0): {0: 100000},
    ("Category Threes", 4, 1): {0: 48121, 3: 38786, 6: 13093},
    ("Category Threes", 4, 2): {0: 23296, 3: 40989, 6: 26998, 9: 8717},
    ("Category Threes", 4, 3): {0: 11233, 3: 32653, 6: 35710, 9: 20404},
    ("Category Threes", 4, 4): {0: 5463, 3: 23270, 6: 37468, 9: 26734, 12: 7065},
    ("Category Threes", 4, 5): {0: 2691, 3: 15496, 6: 34539, 9: 34635, 12: 12639},
    ("Category Threes", 4, 6): {0: 1221, 3: 10046, 6: 29811, 9: 39190, 12: 19732},
    ("Category Threes", 4, 7): {0: 599, 6: 30742, 9: 41614, 12: 27045},
    ("Category Threes", 4, 8): {0: 309, 6: 22719, 9: 42236, 12: 34736},
    ("Category Threes", 5, 0): {0: 100000},
    ("Category Threes", 5, 1): {0: 40183, 3: 40377, 6: 19440},
    ("Category Threes", 5, 2): {0: 16197, 3: 35494, 6: 30937, 9: 17372},
    ("Category Threes", 5, 3): {0: 6583, 3: 23394, 6: 34432, 9: 25239, 12: 10352},
    ("Category Threes", 5, 4): {0: 2636, 3: 14072, 6: 30134, 9: 32371, 12: 20787},
    ("Category Threes", 5, 5): {0: 1075, 3: 7804, 6: 23010, 9: 34811, 12: 25702, 15: 7598},
    ("Category Threes", 5, 6): {0: 418, 6: 20888, 9: 32809, 12: 32892, 15: 12993},
    ("Category Threes", 5, 7): {0: 2365, 6: 11416, 9: 29072, 12: 37604, 15: 19543},
    ("Category Threes", 5, 8): {0: 1246, 6: 7425, 9: 24603, 12: 40262, 15: 26464},
    ("Category Threes", 6, 0): {0: 100000},
    ("Category Threes", 6, 1): {0: 33473, 3: 40175, 6: 20151, 9: 6201},
    ("Category Threes", 6, 2): {0: 11147, 3: 29592, 6: 32630, 9: 19287, 12: 7344},
    ("Category Threes", 6, 3): {0: 3628, 3: 16528, 6: 29814, 9: 29006, 12: 15888, 15: 5136},
    ("Category Threes", 6, 4): {0: 1262, 3: 8236, 6: 21987, 9: 30953, 12: 24833, 15: 12729},
    ("Category Threes", 6, 5): {0: 416, 6: 17769, 9: 27798, 12: 31197, 15: 18256, 18: 4564},
    ("Category Threes", 6, 6): {0: 1796, 6: 8372, 9: 22175, 12: 32897, 15: 26264, 18: 8496},
    ("Category Threes", 6, 7): {0: 791, 9: 21074, 12: 31385, 15: 32666, 18: 14084},
    ("Category Threes", 6, 8): {0: 20, 9: 14150, 12: 28320, 15: 36982, 18: 20528},
    ("Category Threes", 7, 0): {0: 100000},
    ("Category Threes", 7, 1): {0: 27933, 3: 39105, 6: 23338, 9: 9624},
    ("Category Threes", 7, 2): {0: 7794, 3: 23896, 6: 31832, 9: 23110, 12: 13368},
    ("Category Threes", 7, 3): {0: 2138, 3: 11098, 6: 24140, 9: 29316, 12: 21386, 15: 11922},
    ("Category Threes", 7, 4): {0: 590, 6: 19385, 9: 26233, 12: 28244, 15: 18118, 18: 7430},
    ("Category Threes", 7, 5): {0: 1941, 6: 7953, 9: 19439, 12: 28977, 15: 26078, 18: 15612},
    ("Category Threes", 7, 6): {0: 718, 9: 16963, 12: 25793, 15: 30535, 18: 20208, 21: 5783},
    ("Category Threes", 7, 7): {0: 2064, 9: 7941, 12: 20571, 15: 31859, 18: 27374, 21: 10191},
    ("Category Threes", 7, 8): {0: 963, 12: 19864, 15: 30313, 18: 33133, 21: 15727},
    ("Category Threes", 8, 0): {0: 100000},
    ("Category Threes", 8, 1): {0: 23337, 3: 37232, 6: 25968, 9: 13463},
    ("Category Threes", 8, 2): {0: 5310, 3: 18930, 6: 29232, 9: 26016, 12: 14399, 15: 6113},
    ("Category Threes", 8, 3): {0: 1328, 3: 7328, 6: 18754, 9: 27141, 12: 24703, 15: 14251, 18: 6495},
    ("Category Threes", 8, 4): {0: 2719, 6: 9554, 9: 20607, 12: 26898, 15: 23402, 18: 12452, 21: 4368},
    ("Category Threes", 8, 5): {0: 905, 9: 16848, 12: 23248, 15: 27931, 18: 20616, 21: 10452},
    ("Category Threes", 8, 6): {0: 1914, 9: 6890, 12: 17302, 15: 27235, 18: 27276, 21: 19383},
    ("Category Threes", 8, 7): {0: 800, 12: 15127, 15: 23682, 18: 30401, 21: 22546, 24: 7444},
    ("Category Threes", 8, 8): {0: 2041, 12: 7211, 15: 18980, 18: 30657, 21: 29074, 24: 12037},
    ("Category Fours", 0, 0): {0: 100000},
    ("Category Fours", 0, 1): {0: 100000},
    ("Category Fours", 0, 2): {0: 100000},
    ("Category Fours", 0, 3): {0: 100000},
    ("Category Fours", 0, 4): {0: 100000},
    ("Category Fours", 0, 5): {0: 100000},
    ("Category Fours", 0, 6): {0: 100000},
    ("Category Fours", 0, 7): {0: 100000},
    ("Category Fours", 0, 8): {0: 100000},
    ("Category Fours", 1, 0): {0: 100000},
    ("Category Fours", 1, 1): {0: 83260, 4: 16740},
    ("Category Fours", 1, 2): {0: 69514, 4: 30486},
    ("Category Fours", 1, 3): {0: 58017, 4: 41983},
    ("Category Fours", 1, 4): {0: 48389, 4: 51611},
    ("Category Fours", 1, 5): {0: 40201, 4: 59799},
    ("Category Fours", 1, 6): {0: 33496, 4: 66504},
    ("Category Fours", 1, 7): {0: 28052, 4: 71948},
    ("Category Fours", 1, 8): {0: 23431, 4: 76569},
    ("Category Fours", 2, 0): {0: 100000},
    ("Category Fours", 2, 1): {0: 69379, 4: 30621},
    ("Category Fours", 2, 2): {0: 48538, 4: 42240, 8: 9222},
    ("Category Fours", 2, 3): {0: 33756, 4: 48555, 8: 17689},
    ("Category Fours", 2, 4): {0: 23070, 4: 49916, 8: 27014},
    ("Category Fours", 2, 5): {0: 16222, 4: 48009, 8: 35769},
    ("Category Fours", 2, 6): {0: 11125, 4: 44400, 8: 44475},
    ("Category Fours", 2, 7): {0: 7919, 4: 40216, 8: 51865},
    ("Category Fours", 2, 8): {0: 5348, 4: 35757, 8: 58895},
    ("Category Fours", 3, 0): {0: 100000},
    ("Category Fours", 3, 1): {0: 57914, 4: 34622, 8: 7464},
    ("Category Fours", 3, 2): {0: 33621, 4: 44110, 8: 22269},
    ("Category Fours", 3, 3): {0: 19153, 4: 42425, 8: 30898, 12: 7524},
    ("Category Fours", 3, 4): {0: 11125, 4: 36011, 8: 39024, 12: 13840},
    ("Category Fours", 3, 5): {0: 6367, 4: 29116, 8: 43192, 12: 21325},
    ("Category Fours", 3, 6): {0: 3643, 4: 22457, 8: 44477, 12: 29423},
    ("Category Fours", 3, 7): {0: 2178, 4: 16802, 8: 43275, 12: 37745},
    ("Category Fours", 3, 8): {0: 1255, 4: 12301, 8: 41132, 12: 45312},
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    ("Category Choice", 4, 7): {5: 7652, 19: 20489, 21: 20365, 23: 26176, 24: 25318},
    ("Category Choice", 4, 8): {5: 3231, 16: 8958, 21: 28789, 23: 25837, 24: 33185},
    ("Category Choice", 5, 0): {0: 100000},
    ("Category Choice", 5, 1): {5: 1575, 10: 8293, 13: 12130, 17: 28045, 20: 40099, 23: 9858},
    ("Category Choice", 5, 2): {5: 3298, 14: 10211, 17: 13118, 21: 28204, 24: 34078, 26: 11091},
    ("Category Choice", 5, 3): {6: 2633, 15: 8316, 18: 11302, 22: 26605, 24: 20431, 26: 22253, 28: 8460},
    ("Category Choice", 5, 4): {5: 4084, 17: 9592, 20: 13422, 24: 28620, 26: 20353, 27: 14979, 29: 8950},
    ("Category Choice", 5, 5): {6: 348, 14: 8075, 20: 10195, 22: 14679, 25: 22335, 28: 28253, 29: 16115},
    ("Category Choice", 5, 6): {7: 3204, 19: 9258, 22: 11859, 25: 21412, 27: 20895, 29: 33372},
    ("Category Choice", 5, 7): {8: 2983, 20: 9564, 23: 12501, 26: 22628, 29: 34285, 30: 18039},
    ("Category Choice", 5, 8): {9: 323, 17: 8259, 25: 20762, 27: 20118, 29: 25318, 30: 25220},
    ("Category Choice", 6, 0): {0: 100000},
    ("Category Choice", 6, 1): {6: 6102, 17: 21746, 21: 26524, 23: 25004, 25: 11086, 27: 9538},
    ("Category Choice", 6, 2): {8: 1504, 16: 8676, 20: 10032, 22: 14673, 26: 27312, 27: 16609, 29: 12133, 31: 9061},
    ("Category Choice", 6, 3): {6: 1896, 18: 8914, 22: 10226, 24: 14822, 28: 27213, 31: 28868, 33: 8061},
    ("Category Choice", 6, 4): {9: 441, 17: 8018, 25: 22453, 29: 26803, 32: 32275, 34: 10010},
    ("Category Choice", 6, 5): {10: 1788, 21: 8763, 25: 10319, 27: 14763, 31: 30144, 33: 23879, 35: 10344},
    ("Category Choice", 6, 6): {13: 876, 21: 8303, 28: 24086, 31: 21314, 34: 28149, 35: 17272},
    ("Category Choice", 6, 7): {12: 3570, 25: 9625, 28: 11348, 31: 20423, 33: 20469, 35: 34565},
    ("Category Choice", 6, 8): {12: 3450, 26: 9544, 29: 12230, 32: 22130, 35: 33671, 36: 18975},
    ("Category Choice", 7, 0): {0: 100000},
    ("Category Choice", 7, 1): {7: 1237, 15: 8100, 21: 23947, 25: 25361, 27: 22186, 31: 19169},
    ("Category Choice", 7, 2): {10: 2086, 20: 8960, 26: 23657, 30: 25264, 31: 15759, 33: 12356, 35: 11918},
    ("Category Choice", 7, 3): {10: 4980, 24: 9637, 27: 11247, 29: 15046, 33: 33492, 35: 13130, 37: 12468},
    ("Category Choice", 7, 4): {13: 2260, 24: 8651, 30: 23022, 34: 25656, 37: 29910, 39: 10501},
    ("Category Choice", 7, 5): {12: 3879, 27: 8154, 30: 10292, 32: 14692, 36: 27425, 38: 23596, 40: 11962},
    ("Category Choice", 7, 6): {14: 1957, 27: 8230, 33: 23945, 37: 29286, 39: 24519, 41: 12063},
    ("Category Choice", 7, 7): {16: 599, 26: 8344, 34: 22981, 37: 20883, 40: 28045, 42: 19148},
    ("Category Choice", 7, 8): {14: 3639, 31: 8907, 34: 10904, 37: 20148, 39: 20219, 41: 21627, 42: 14556},
    ("Category Choice", 8, 0): {0: 100000},
    ("Category Choice", 8, 1): {10: 752, 17: 8385, 24: 21460, 26: 15361, 29: 23513, 31: 12710, 35: 17819},
    ("Category Choice", 8, 2): {11: 5900, 26: 10331, 29: 11435, 31: 14533, 34: 23939, 36: 13855, 38: 10165, 40: 9842},
    ("Category Choice", 8, 3): {12: 2241, 26: 8099, 32: 20474, 34: 14786, 38: 31140, 40: 11751, 42: 11509},
    ("Category Choice", 8, 4): {16: 1327, 27: 8361, 34: 19865, 36: 15078, 40: 32325, 42: 12218, 44: 10826},
    ("Category Choice", 8, 5): {16: 4986, 32: 9031, 35: 10214, 37: 14528, 41: 25608, 42: 16131, 44: 11245, 46: 8257},
    ("Category Choice", 8, 6): {16: 2392, 32: 8742, 38: 23237, 42: 26333, 45: 30725, 47: 8571},
    ("Category Choice", 8, 7): {20: 1130, 32: 8231, 39: 22137, 43: 28783, 45: 25221, 47: 14498},
    ("Category Choice", 8, 8): {20: 73, 28: 8033, 40: 21670, 43: 20615, 46: 28105, 48: 21504},
    ("Category Inverse Choice", 0, 0): {0: 100000},
    ("Category Inverse Choice", 0, 1): {0: 100000},
    ("Category Inverse Choice", 0, 2): {0: 100000},
    ("Category Inverse Choice", 0, 3): {0: 100000},
    ("Category Inverse Choice", 0, 4): {0: 100000},
    ("Category Inverse Choice", 0, 5): {0: 100000},
    ("Category Inverse Choice", 0, 6): {0: 100000},
    ("Category Inverse Choice", 0, 7): {0: 100000},
    ("Category Inverse Choice", 0, 8): {0: 100000},
    ("Category Inverse Choice", 1, 0): {0: 100000},
    ("Category Inverse Choice", 1, 1): {1: 16642, 3: 33501, 5: 33218, 6: 16639},
    ("Category Inverse Choice", 1, 2): {1: 10921, 3: 22060, 5: 39231, 6: 27788},
    ("Category Inverse Choice", 1, 3): {1: 9416, 4: 27917, 5: 22740, 6: 39927},
    ("Category Inverse Choice", 1, 4): {1: 15490, 3: 15489, 6: 69021},
    ("Category Inverse Choice", 1, 5): {1: 12817, 3: 12757, 6: 74426},
    ("Category Inverse Choice", 1, 6): {1: 10513, 3: 10719, 6: 78768},
    ("Category Inverse Choice", 1, 7): {1: 8893, 6: 91107},
    ("Category Inverse Choice", 1, 8): {1: 14698, 6: 85302},
    ("Category Inverse Choice", 2, 0): {0: 100000},
    ("Category Inverse Choice", 2, 1): {2: 8504, 6: 32987, 8: 30493, 11: 28016},
    ("Category Inverse Choice", 2, 2): {2: 3714, 7: 33270, 9: 25859, 11: 37157},
    ("Category Inverse Choice", 2, 3): {2: 5113, 5: 10402, 8: 25783, 10: 24173, 12: 34529},
    ("Category Inverse Choice", 2, 4): {2: 1783, 4: 8908, 8: 23189, 10: 22115, 12: 44005},
    ("Category Inverse Choice", 2, 5): {2: 7575, 8: 20444, 11: 38062, 12: 33919},
    ("Category Inverse Choice", 2, 6): {2: 5153, 9: 26383, 11: 25950, 12: 42514},
    ("Category Inverse Choice", 2, 7): {2: 3638, 7: 15197, 9: 14988, 12: 66177},
    ("Category Inverse Choice", 2, 8): {2: 2448, 7: 13306, 9: 12754, 12: 71492},
    ("Category Inverse Choice", 3, 0): {0: 100000},
    ("Category Inverse Choice", 3, 1): {3: 4589, 6: 11560, 9: 21469, 11: 25007, 13: 28332, 15: 9043},
    ("Category Inverse Choice", 3, 2): {3: 1380, 6: 8622, 9: 14417, 12: 23457, 14: 24807, 17: 27317},
    ("Category Inverse Choice", 3, 3): {3: 1605, 7: 9370, 10: 13491, 13: 24408, 15: 23065, 17: 28061},
    ("Category Inverse Choice", 3, 4): {3: 7212, 13: 32000, 15: 22707, 17: 38081},
    ("Category Inverse Choice", 3, 5): {3: 7989, 11: 10756, 14: 23811, 16: 21668, 18: 35776},
    ("Category Inverse Choice", 3, 6): {3: 3251, 10: 10272, 14: 21653, 17: 37049, 18: 27775},
    ("Category Inverse Choice", 3, 7): {3: 1018, 9: 8591, 15: 28080, 17: 26469, 18: 35842},
    ("Category Inverse Choice", 3, 8): {3: 6842, 15: 25118, 17: 24534, 18: 43506},
    ("Category Inverse Choice", 4, 0): {0: 100000},
    ("Category Inverse Choice", 4, 1): {4: 5386, 9: 10561, 13: 28501, 15: 21902, 17: 23999, 19: 9651},
    ("Category Inverse Choice", 4, 2): {4: 7510, 12: 10646, 16: 28145, 18: 22596, 19: 17705, 21: 13398},
    ("Category Inverse Choice", 4, 3): {4: 2392, 11: 8547, 14: 13300, 18: 29887, 20: 21680, 21: 15876, 23: 8318},
    ("Category Inverse Choice", 4, 4): {4: 2258, 12: 8230, 15: 12216, 19: 31486, 21: 20698, 23: 25112},
    ("Category Inverse Choice", 4, 5): {4: 2209, 13: 8484, 16: 11343, 19: 21913, 21: 21675, 23: 34376},
    ("Category Inverse Choice", 4, 6): {4: 2179, 14: 8704, 17: 12056, 20: 23300, 22: 20656, 24: 33105},
    ("Category Inverse Choice", 4, 7): {5: 7652, 19: 20489, 21: 20365, 23: 26176, 24: 25318},
    ("Category Inverse Choice", 4, 8): {5: 3231, 16: 8958, 21: 28789, 23: 25837, 24: 33185},
    ("Category Inverse Choice", 5, 0): {0: 100000},
    ("Category Inverse Choice", 5, 1): {5: 1575, 10: 8293, 13: 12130, 17: 28045, 20: 40099, 23: 9858},
    ("Category Inverse Choice", 5, 2): {5: 3298, 14: 10211, 17: 13118, 21: 28204, 24: 34078, 26: 11091},
    ("Category Inverse Choice", 5, 3): {6: 2633, 15: 8316, 18: 11302, 22: 26605, 24: 20431, 26: 22253, 28: 8460},
    ("Category Inverse Choice", 5, 4): {5: 4084, 17: 9592, 20: 13422, 24: 28620, 26: 20353, 27: 14979, 29: 8950},
    ("Category Inverse Choice", 5, 5): {6: 348, 14: 8075, 20: 10195, 22: 14679, 25: 22335, 28: 28253, 29: 16115},
    ("Category Inverse Choice", 5, 6): {7: 3204, 19: 9258, 22: 11859, 25: 21412, 27: 20895, 29: 33372},
    ("Category Inverse Choice", 5, 7): {8: 2983, 20: 9564, 23: 12501, 26: 22628, 29: 34285, 30: 18039},
    ("Category Inverse Choice", 5, 8): {9: 323, 17: 8259, 25: 20762, 27: 20118, 29: 25318, 30: 25220},
    ("Category Inverse Choice", 6, 0): {0: 100000},
    ("Category Inverse Choice", 6, 1): {6: 6102, 17: 21746, 21: 26524, 23: 25004, 25: 11086, 27: 9538},
    ("Category Inverse Choice", 6, 2): {
        8: 1504,
        16: 8676,
        20: 10032,
        22: 14673,
        26: 27312,
        27: 16609,
        29: 12133,
        31: 9061,
    },
    ("Category Inverse Choice", 6, 3): {6: 1896, 18: 8914, 22: 10226, 24: 14822, 28: 27213, 31: 28868, 33: 8061},
    ("Category Inverse Choice", 6, 4): {9: 441, 17: 8018, 25: 22453, 29: 26803, 32: 32275, 34: 10010},
    ("Category Inverse Choice", 6, 5): {10: 1788, 21: 8763, 25: 10319, 27: 14763, 31: 30144, 33: 23879, 35: 10344},
    ("Category Inverse Choice", 6, 6): {13: 876, 21: 8303, 28: 24086, 31: 21314, 34: 28149, 35: 17272},
    ("Category Inverse Choice", 6, 7): {12: 3570, 25: 9625, 28: 11348, 31: 20423, 33: 20469, 35: 34565},
    ("Category Inverse Choice", 6, 8): {12: 3450, 26: 9544, 29: 12230, 32: 22130, 35: 33671, 36: 18975},
    ("Category Inverse Choice", 7, 0): {0: 100000},
    ("Category Inverse Choice", 7, 1): {7: 1237, 15: 8100, 21: 23947, 25: 25361, 27: 22186, 31: 19169},
    ("Category Inverse Choice", 7, 2): {10: 2086, 20: 8960, 26: 23657, 30: 25264, 31: 15759, 33: 12356, 35: 11918},
    ("Category Inverse Choice", 7, 3): {10: 4980, 24: 9637, 27: 11247, 29: 15046, 33: 33492, 35: 13130, 37: 12468},
    ("Category Inverse Choice", 7, 4): {13: 2260, 24: 8651, 30: 23022, 34: 25656, 37: 29910, 39: 10501},
    ("Category Inverse Choice", 7, 5): {12: 3879, 27: 8154, 30: 10292, 32: 14692, 36: 27425, 38: 23596, 40: 11962},
    ("Category Inverse Choice", 7, 6): {14: 1957, 27: 8230, 33: 23945, 37: 29286, 39: 24519, 41: 12063},
    ("Category Inverse Choice", 7, 7): {16: 599, 26: 8344, 34: 22981, 37: 20883, 40: 28045, 42: 19148},
    ("Category Inverse Choice", 7, 8): {14: 3639, 31: 8907, 34: 10904, 37: 20148, 39: 20219, 41: 21627, 42: 14556},
    ("Category Inverse Choice", 8, 0): {0: 100000},
    ("Category Inverse Choice", 8, 1): {10: 752, 17: 8385, 24: 21460, 26: 15361, 29: 23513, 31: 12710, 35: 17819},
    ("Category Inverse Choice", 8, 2): {
        11: 5900,
        26: 10331,
        29: 11435,
        31: 14533,
        34: 23939,
        36: 13855,
        38: 10165,
        40: 9842,
    },
    ("Category Inverse Choice", 8, 3): {12: 2241, 26: 8099, 32: 20474, 34: 14786, 38: 31140, 40: 11751, 42: 11509},
    ("Category Inverse Choice", 8, 4): {16: 1327, 27: 8361, 34: 19865, 36: 15078, 40: 32325, 42: 12218, 44: 10826},
    ("Category Inverse Choice", 8, 5): {
        16: 4986,
        32: 9031,
        35: 10214,
        37: 14528,
        41: 25608,
        42: 16131,
        44: 11245,
        46: 8257,
    },
    ("Category Inverse Choice", 8, 6): {16: 2392, 32: 8742, 38: 23237, 42: 26333, 45: 30725, 47: 8571},
    ("Category Inverse Choice", 8, 7): {20: 1130, 32: 8231, 39: 22137, 43: 28783, 45: 25221, 47: 14498},
    ("Category Inverse Choice", 8, 8): {20: 73, 28: 8033, 40: 21670, 43: 20615, 46: 28105, 48: 21504},
    ("Category Pair", 0, 0): {0: 100000},
    ("Category Pair", 0, 1): {0: 100000},
    ("Category Pair", 0, 2): {0: 100000},
    ("Category Pair", 0, 3): {0: 100000},
    ("Category Pair", 0, 4): {0: 100000},
    ("Category Pair", 0, 5): {0: 100000},
    ("Category Pair", 0, 6): {0: 100000},
    ("Category Pair", 0, 7): {0: 100000},
    ("Category Pair", 0, 8): {0: 100000},
    ("Category Pair", 1, 0): {0: 100000},
    ("Category Pair", 1, 1): {0: 100000},
    ("Category Pair", 1, 2): {0: 100000},
    ("Category Pair", 1, 3): {0: 100000},
    ("Category Pair", 1, 4): {0: 100000},
    ("Category Pair", 1, 5): {0: 100000},
    ("Category Pair", 1, 6): {0: 100000},
    ("Category Pair", 1, 7): {0: 100000},
    ("Category Pair", 1, 8): {0: 100000},
    ("Category Pair", 2, 0): {0: 100000},
    ("Category Pair", 2, 1): {0: 83388, 10: 16612},
    ("Category Pair", 2, 2): {0: 69422, 10: 30578},
    ("Category Pair", 2, 3): {0: 57830, 10: 42170},
    ("Category Pair", 2, 4): {0: 48195, 10: 51805},
    ("Category Pair", 2, 5): {0: 40117, 10: 59883},
    ("Category Pair", 2, 6): {0: 33286, 10: 66714},
    ("Category Pair", 2, 7): {0: 27917, 10: 72083},
    ("Category Pair", 2, 8): {0: 23354, 10: 76646},
    ("Category Pair", 3, 0): {0: 100000},
    ("Category Pair", 3, 1): {0: 55518, 10: 44482},
    ("Category Pair", 3, 2): {0: 30904, 10: 69096},
    ("Category Pair", 3, 3): {0: 17242, 10: 82758},
    ("Category Pair", 3, 4): {0: 9486, 10: 90514},
    ("Category Pair", 3, 5): {0: 5362, 10: 94638},
    ("Category Pair", 3, 6): {0: 2909, 10: 97091},
    ("Category Pair", 3, 7): {0: 1574, 10: 98426},
    ("Category Pair", 3, 8): {0: 902, 10: 99098},
    ("Category Pair", 4, 0): {0: 100000},
    ("Category Pair", 4, 1): {0: 27789, 10: 72211},
    ("Category Pair", 4, 2): {0: 7799, 10: 92201},
    ("Category Pair", 4, 3): {0: 2113, 10: 97887},
    ("Category Pair", 4, 4): {0: 601, 10: 99399},
    ("Category Pair", 4, 5): {0: 155, 10: 99845},
    ("Category Pair", 4, 6): {0: 43, 10: 99957},
    ("Category Pair", 4, 7): {0: 10, 10: 99990},
    ("Category Pair", 4, 8): {0: 3, 10: 99997},
    ("Category Pair", 5, 0): {0: 100000},
    ("Category Pair", 5, 1): {0: 9298, 10: 90702},
    ("Category Pair", 5, 2): {0: 863, 10: 99137},
    ("Category Pair", 5, 3): {0: 79, 10: 99921},
    ("Category Pair", 5, 4): {0: 2, 10: 99998},
    ("Category Pair", 5, 5): {0: 2, 10: 99998},
    ("Category Pair", 5, 6): {10: 100000},
    ("Category Pair", 5, 7): {10: 100000},
    ("Category Pair", 5, 8): {10: 100000},
    ("Category Pair", 6, 0): {0: 100000},
    ("Category Pair", 6, 1): {0: 1541, 10: 98459},
    ("Category Pair", 6, 2): {0: 23, 10: 99977},
    ("Category Pair", 6, 3): {10: 100000},
    ("Category Pair", 6, 4): {10: 100000},
    ("Category Pair", 6, 5): {10: 100000},
    ("Category Pair", 6, 6): {10: 100000},
    ("Category Pair", 6, 7): {10: 100000},
    ("Category Pair", 6, 8): {10: 100000},
    ("Category Pair", 7, 0): {0: 100000},
    ("Category Pair", 7, 1): {10: 100000},
    ("Category Pair", 7, 2): {10: 100000},
    ("Category Pair", 7, 3): {10: 100000},
    ("Category Pair", 7, 4): {10: 100000},
    ("Category Pair", 7, 5): {10: 100000},
    ("Category Pair", 7, 6): {10: 100000},
    ("Category Pair", 7, 7): {10: 100000},
    ("Category Pair", 7, 8): {10: 100000},
    ("Category Pair", 8, 0): {0: 100000},
    ("Category Pair", 8, 1): {10: 100000},
    ("Category Pair", 8, 2): {10: 100000},
    ("Category Pair", 8, 3): {10: 100000},
    ("Category Pair", 8, 4): {10: 100000},
    ("Category Pair", 8, 5): {10: 100000},
    ("Category Pair", 8, 6): {10: 100000},
    ("Category Pair", 8, 7): {10: 100000},
    ("Category Pair", 8, 8): {10: 100000},
    ("Category Three of a Kind", 0, 0): {0: 100000},
    ("Category Three of a Kind", 0, 1): {0: 100000},
    ("Category Three of a Kind", 0, 2): {0: 100000},
    ("Category Three of a Kind", 0, 3): {0: 100000},
    ("Category Three of a Kind", 0, 4): {0: 100000},
    ("Category Three of a Kind", 0, 5): {0: 100000},
    ("Category Three of a Kind", 0, 6): {0: 100000},
    ("Category Three of a Kind", 0, 7): {0: 100000},
    ("Category Three of a Kind", 0, 8): {0: 100000},
    ("Category Three of a Kind", 1, 0): {0: 100000},
    ("Category Three of a Kind", 1, 1): {0: 100000},
    ("Category Three of a Kind", 1, 2): {0: 100000},
    ("Category Three of a Kind", 1, 3): {0: 100000},
    ("Category Three of a Kind", 1, 4): {0: 100000},
    ("Category Three of a Kind", 1, 5): {0: 100000},
    ("Category Three of a Kind", 1, 6): {0: 100000},
    ("Category Three of a Kind", 1, 7): {0: 100000},
    ("Category Three of a Kind", 1, 8): {0: 100000},
    ("Category Three of a Kind", 2, 0): {0: 100000},
    ("Category Three of a Kind", 2, 1): {0: 100000},
    ("Category Three of a Kind", 2, 2): {0: 100000},
    ("Category Three of a Kind", 2, 3): {0: 100000},
    ("Category Three of a Kind", 2, 4): {0: 100000},
    ("Category Three of a Kind", 2, 5): {0: 100000},
    ("Category Three of a Kind", 2, 6): {0: 100000},
    ("Category Three of a Kind", 2, 7): {0: 100000},
    ("Category Three of a Kind", 2, 8): {0: 100000},
    ("Category Three of a Kind", 3, 0): {0: 100000},
    ("Category Three of a Kind", 3, 1): {0: 97222, 20: 2778},
    ("Category Three of a Kind", 3, 2): {0: 88880, 20: 11120},
    ("Category Three of a Kind", 3, 3): {0: 78187, 20: 21813},
    ("Category Three of a Kind", 3, 4): {0: 67476, 20: 32524},
    ("Category Three of a Kind", 3, 5): {0: 57476, 20: 42524},
    ("Category Three of a Kind", 3, 6): {0: 48510, 20: 51490},
    ("Category Three of a Kind", 3, 7): {0: 40921, 20: 59079},
    ("Category Three of a Kind", 3, 8): {0: 34533, 20: 65467},
    ("Category Three of a Kind", 4, 0): {0: 100000},
    ("Category Three of a Kind", 4, 1): {0: 90316, 20: 9684},
    ("Category Three of a Kind", 4, 2): {0: 68401, 20: 31599},
    ("Category Three of a Kind", 4, 3): {0: 49383, 20: 50617},
    ("Category Three of a Kind", 4, 4): {0: 34399, 20: 65601},
    ("Category Three of a Kind", 4, 5): {0: 24154, 20: 75846},
    ("Category Three of a Kind", 4, 6): {0: 16802, 20: 83198},
    ("Category Three of a Kind", 4, 7): {0: 11623, 20: 88377},
    ("Category Three of a Kind", 4, 8): {0: 8105, 20: 91895},
    ("Category Three of a Kind", 5, 0): {0: 100000},
    ("Category Three of a Kind", 5, 1): {0: 78629, 20: 21371},
    ("Category Three of a Kind", 5, 2): {0: 46013, 20: 53987},
    ("Category Three of a Kind", 5, 3): {0: 25698, 20: 74302},
    ("Category Three of a Kind", 5, 4): {0: 14205, 20: 85795},
    ("Category Three of a Kind", 5, 5): {0: 7932, 20: 92068},
    ("Category Three of a Kind", 5, 6): {0: 4357, 20: 95643},
    ("Category Three of a Kind", 5, 7): {0: 2432, 20: 97568},
    ("Category Three of a Kind", 5, 8): {0: 1378, 20: 98622},
    ("Category Three of a Kind", 6, 0): {0: 100000},
    ("Category Three of a Kind", 6, 1): {0: 63231, 20: 36769},
    ("Category Three of a Kind", 6, 2): {0: 26818, 20: 73182},
    ("Category Three of a Kind", 6, 3): {0: 11075, 20: 88925},
    ("Category Three of a Kind", 6, 4): {0: 4749, 20: 95251},
    ("Category Three of a Kind", 6, 5): {0: 1982, 20: 98018},
    ("Category Three of a Kind", 6, 6): {0: 827, 20: 99173},
    ("Category Three of a Kind", 6, 7): {0: 358, 20: 99642},
    ("Category Three of a Kind", 6, 8): {0: 146, 20: 99854},
    ("Category Three of a Kind", 7, 0): {0: 100000},
    ("Category Three of a Kind", 7, 1): {0: 45975, 20: 54025},
    ("Category Three of a Kind", 7, 2): {0: 13207, 20: 86793},
    ("Category Three of a Kind", 7, 3): {0: 3727, 20: 96273},
    ("Category Three of a Kind", 7, 4): {0: 1097, 20: 98903},
    ("Category Three of a Kind", 7, 5): {0: 313, 20: 99687},
    ("Category Three of a Kind", 7, 6): {0: 96, 20: 99904},
    ("Category Three of a Kind", 7, 7): {0: 22, 20: 99978},
    ("Category Three of a Kind", 7, 8): {0: 8, 20: 99992},
    ("Category Three of a Kind", 8, 0): {0: 100000},
    ("Category Three of a Kind", 8, 1): {0: 29316, 20: 70684},
    ("Category Three of a Kind", 8, 2): {0: 5027, 20: 94973},
    ("Category Three of a Kind", 8, 3): {0: 857, 20: 99143},
    ("Category Three of a Kind", 8, 4): {0: 162, 20: 99838},
    ("Category Three of a Kind", 8, 5): {0: 25, 20: 99975},
    ("Category Three of a Kind", 8, 6): {0: 4, 20: 99996},
    ("Category Three of a Kind", 8, 7): {0: 1, 20: 99999},
    ("Category Three of a Kind", 8, 8): {20: 100000},
    ("Category Four of a Kind", 0, 0): {0: 100000},
    ("Category Four of a Kind", 0, 1): {0: 100000},
    ("Category Four of a Kind", 0, 2): {0: 100000},
    ("Category Four of a Kind", 0, 3): {0: 100000},
    ("Category Four of a Kind", 0, 4): {0: 100000},
    ("Category Four of a Kind", 0, 5): {0: 100000},
    ("Category Four of a Kind", 0, 6): {0: 100000},
    ("Category Four of a Kind", 0, 7): {0: 100000},
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    ("Category Full House", 8, 8): {25: 100000},
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    ("Category Yacht", 2, 6): {0: 100000},
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    ("Category Two times Ones", 1, 1): {0: 83475, 2: 16525},
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    ("Category Two times Ones", 2, 4): {0: 23136, 2: 49957, 4: 26907},
    ("Category Two times Ones", 2, 5): {0: 16146, 2: 48200, 4: 35654},
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    ("Category Two times Ones", 3, 1): {0: 58021, 2: 34522, 4: 7457},
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    ("Category Two times Ones", 3, 3): {0: 19375, 2: 42372, 4: 30748, 6: 7505},
    ("Category Two times Ones", 3, 4): {0: 10998, 2: 36435, 4: 38569, 6: 13998},
    ("Category Two times Ones", 3, 5): {0: 6519, 2: 28838, 4: 43283, 6: 21360},
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    ("Category Two times Ones", 3, 7): {0: 2195, 2: 16979, 4: 43684, 6: 37142},
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    ("Category Two times Ones", 4, 1): {0: 48235, 2: 38602, 4: 13163},
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    ("Category Two times Ones", 4, 4): {0: 5499, 2: 23225, 4: 37240, 6: 26867, 8: 7169},
    ("Category Two times Ones", 4, 5): {0: 2574, 2: 15782, 4: 34605, 6: 34268, 8: 12771},
    ("Category Two times Ones", 4, 6): {0: 1259, 4: 39616, 6: 39523, 8: 19602},
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    ("Category Two times Ones", 5, 1): {0: 40028, 2: 40241, 4: 19731},
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    ("Category Two times Ones", 5, 5): {0: 1032, 4: 31627, 6: 33993, 8: 25853, 10: 7495},
    ("Category Two times Ones", 5, 6): {0: 450, 4: 20693, 6: 32774, 8: 32900, 10: 13183},
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    ("Category Two times Ones", 5, 8): {0: 1171, 6: 31564, 8: 40798, 10: 26467},
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    ("Category Two times Ones", 6, 1): {0: 33502, 2: 40413, 4: 26085},
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    ("Category Two times Ones", 6, 4): {0: 1243, 4: 30025, 6: 31053, 8: 25066, 10: 12613},
    ("Category Two times Ones", 6, 5): {0: 4194, 4: 13949, 6: 28142, 8: 30723, 10: 22992},
    ("Category Two times Ones", 6, 6): {0: 1800, 6: 30677, 8: 32692, 10: 26213, 12: 8618},
    ("Category Two times Ones", 6, 7): {0: 775, 6: 21013, 8: 31410, 10: 32532, 12: 14270},
    ("Category Two times Ones", 6, 8): {0: 2855, 6: 11432, 8: 27864, 10: 37237, 12: 20612},
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    ("Category Two times Ones", 7, 1): {0: 27683, 2: 39060, 4: 23574, 6: 9683},
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    ("Category Two times Ones", 7, 5): {0: 1913, 6: 27198, 8: 29039, 10: 26129, 12: 15721},
    ("Category Two times Ones", 7, 6): {0: 54, 6: 17506, 8: 25752, 10: 30413, 12: 26275},
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    ("Category Two times Ones", 7, 8): {0: 942, 8: 19835, 10: 30248, 12: 33276, 14: 15699},
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    ("Category Two times Ones", 8, 1): {0: 23378, 2: 37157, 4: 26082, 6: 13383},
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    ("Category Half of Sixes", 0, 1): {0: 100000},
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    ("Category Half of Sixes", 1, 1): {0: 83343, 3: 16657},
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    ("Category Half of Sixes", 1, 3): {0: 57872, 3: 42128},
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    ("Category Half of Sixes", 2, 1): {0: 69419, 3: 30581},
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    ("Category Half of Sixes", 2, 5): {0: 16092, 3: 47718, 6: 36190},
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    ("Category Half of Sixes", 7, 4): {0: 590, 6: 19385, 9: 26233, 12: 28244, 15: 18118, 18: 7430},
    ("Category Half of Sixes", 7, 5): {0: 1941, 6: 7953, 9: 19439, 12: 28977, 15: 26078, 18: 15612},
    ("Category Half of Sixes", 7, 6): {0: 718, 9: 16963, 12: 25793, 15: 30535, 18: 20208, 21: 5783},
    ("Category Half of Sixes", 7, 7): {0: 2064, 9: 7941, 12: 20571, 15: 31859, 18: 27374, 21: 10191},
    ("Category Half of Sixes", 7, 8): {0: 963, 12: 19864, 15: 30313, 18: 33133, 21: 15727},
    ("Category Half of Sixes", 8, 0): {0: 100000},
    ("Category Half of Sixes", 8, 1): {0: 23337, 3: 37232, 6: 25968, 9: 13463},
    ("Category Half of Sixes", 8, 2): {0: 5310, 3: 18930, 6: 29232, 9: 26016, 12: 14399, 15: 6113},
    ("Category Half of Sixes", 8, 3): {0: 1328, 3: 7328, 6: 18754, 9: 27141, 12: 24703, 15: 14251, 18: 6495},
    ("Category Half of Sixes", 8, 4): {0: 2719, 6: 9554, 9: 20607, 12: 26898, 15: 23402, 18: 12452, 21: 4368},
    ("Category Half of Sixes", 8, 5): {0: 905, 9: 16848, 12: 23248, 15: 27931, 18: 20616, 21: 10452},
    ("Category Half of Sixes", 8, 6): {0: 1914, 9: 6890, 12: 17302, 15: 27235, 18: 27276, 21: 19383},
    ("Category Half of Sixes", 8, 7): {0: 800, 12: 15127, 15: 23682, 18: 30401, 21: 22546, 24: 7444},
    ("Category Half of Sixes", 8, 8): {0: 2041, 12: 7211, 15: 18980, 18: 30657, 21: 29074, 24: 12037},
    ("Category Twos and Threes", 1, 1): {0: 66466, 3: 33534},
    ("Category Twos and Threes", 1, 2): {0: 55640, 3: 44360},
    ("Category Twos and Threes", 1, 3): {0: 46223, 3: 53777},
    ("Category Twos and Threes", 1, 4): {0: 38552, 3: 61448},
    ("Category Twos and Threes", 1, 5): {0: 32320, 3: 67680},
    ("Category Twos and Threes", 1, 6): {0: 26733, 3: 73267},
    ("Category Twos and Threes", 1, 7): {0: 22289, 3: 77711},
    ("Category Twos and Threes", 1, 8): {0: 18676, 3: 81324},
    ("Category Twos and Threes", 2, 1): {0: 44565, 2: 21965, 3: 25172, 5: 8298},
    ("Category Twos and Threes", 2, 2): {0: 30855, 3: 51429, 6: 17716},
    ("Category Twos and Threes", 2, 3): {0: 21509, 3: 51178, 6: 27313},
    ("Category Twos and Threes", 2, 4): {0: 14935, 3: 48581, 6: 36484},
    ("Category Twos and Threes", 2, 5): {0: 10492, 3: 44256, 6: 45252},
    ("Category Twos and Threes", 2, 6): {0: 10775, 3: 35936, 6: 53289},
    ("Category Twos and Threes", 2, 7): {0: 7375, 3: 32469, 6: 60156},
    ("Category Twos and Threes", 2, 8): {0: 5212, 3: 35730, 6: 59058},
    ("Category Twos and Threes", 3, 1): {0: 29892, 2: 22136, 3: 27781, 6: 20191},
    ("Category Twos and Threes", 3, 2): {0: 17285, 3: 44257, 6: 38458},
    ("Category Twos and Threes", 3, 3): {0: 9889, 3: 36505, 6: 40112, 8: 13494},
    ("Category Twos and Threes", 3, 4): {0: 5717, 3: 28317, 6: 43044, 9: 22922},
    ("Category Twos and Threes", 3, 5): {0: 5795, 3: 19123, 6: 45004, 9: 30078},
    ("Category Twos and Threes", 3, 6): {0: 3273, 3: 21888, 6: 36387, 9: 38452},
    ("Category Twos and Threes", 3, 7): {0: 1917, 3: 16239, 6: 35604, 9: 46240},
    ("Category Twos and Threes", 3, 8): {0: 1124, 3: 12222, 6: 33537, 9: 53117},
    ("Category Twos and Threes", 4, 1): {0: 19619, 3: 46881, 6: 33500},
    ("Category Twos and Threes", 4, 2): {0: 9395, 3: 33926, 6: 37832, 9: 18847},
    ("Category Twos and Threes", 4, 3): {0: 4538, 3: 22968, 6: 38891, 9: 33603},
    ("Category Twos and Threes", 4, 4): {0: 4402, 3: 12654, 6: 35565, 9: 34784, 11: 12595},
    ("Category Twos and Threes", 4, 5): {0: 2065, 3: 14351, 6: 23592, 9: 38862, 12: 21130},
    ("Category Twos and Threes", 4, 6): {0: 1044, 3: 9056, 6: 20013, 9: 41255, 12: 28632},
    ("Category Twos and Threes", 4, 7): {0: 6310, 7: 24021, 9: 34297, 12: 35372},
    ("Category Twos and Threes", 4, 8): {0: 3694, 6: 18611, 9: 34441, 12: 43254},
    ("Category Twos and Threes", 5, 1): {0: 13070, 3: 33021, 5: 24568, 6: 16417, 8: 12924},
    ("Category Twos and Threes", 5, 2): {0: 5213, 3: 24275, 6: 37166, 9: 24746, 11: 8600},
    ("Category Twos and Threes", 5, 3): {0: 4707, 3: 10959, 6: 31388, 9: 33265, 12: 19681},
    ("Category Twos and Threes", 5, 4): {0: 1934, 3: 12081, 6: 17567, 9: 35282, 12: 33136},
    ("Category Twos and Threes", 5, 5): {0: 380, 2: 7025, 6: 13268, 9: 33274, 12: 33255, 14: 12798},
    ("Category Twos and Threes", 5, 6): {0: 3745, 6: 15675, 9: 22902, 12: 44665, 15: 13013},
    ("Category Twos and Threes", 5, 7): {0: 1969, 6: 10700, 9: 19759, 12: 39522, 15: 28050},
    ("Category Twos and Threes", 5, 8): {0: 13, 2: 7713, 10: 23957, 12: 32501, 15: 35816},
    ("Category Twos and Threes", 6, 1): {0: 8955, 3: 26347, 5: 24850, 8: 39848},
    ("Category Twos and Threes", 6, 2): {0: 2944, 3: 16894, 6: 32156, 9: 37468, 12: 10538},
    ("Category Twos and Threes", 6, 3): {0: 2484, 3: 13120, 6: 15999, 9: 32271, 12: 24898, 14: 11228},
    ("Category Twos and Threes", 6, 4): {0: 320, 2: 6913, 6: 10814, 9: 28622, 12: 31337, 15: 21994},
    ("Category Twos and Threes", 6, 5): {0: 3135, 6: 12202, 9: 16495, 12: 33605, 15: 26330, 17: 8233},
    ("Category Twos and Threes", 6, 6): {0: 98, 3: 8409, 9: 12670, 12: 31959, 15: 38296, 18: 8568},
    ("Category Twos and Threes", 6, 7): {0: 4645, 9: 15210, 12: 21906, 15: 44121, 18: 14118},
    ("Category Twos and Threes", 6, 8): {0: 2367, 9: 10679, 12: 18916, 15: 38806, 18: 29232},
    ("Category Twos and Threes", 7, 1): {0: 5802, 3: 28169, 6: 26411, 9: 31169, 11: 8449},
    ("Category Twos and Threes", 7, 2): {0: 4415, 6: 34992, 9: 31238, 12: 20373, 14: 8982},
    ("Category Twos and Threes", 7, 3): {0: 471, 2: 8571, 6: 10929, 9: 28058, 12: 28900, 14: 14953, 16: 8118},
    ("Category Twos and Threes", 7, 4): {0: 3487, 6: 12139, 9: 14001, 12: 30314, 15: 23096, 18: 16963},
    ("Category Twos and Threes", 7, 5): {0: 40, 2: 7460, 12: 36006, 15: 31388, 18: 25106},
    ("Category Twos and Threes", 7, 6): {0: 3554, 9: 11611, 12: 15116, 15: 32501, 18: 27524, 20: 9694},
    ("Category Twos and Threes", 7, 7): {0: 157, 6: 8396, 13: 19880, 15: 22333, 18: 39121, 21: 10113},
    ("Category Twos and Threes", 7, 8): {0: 31, 5: 4682, 12: 14446, 15: 20934, 18: 44127, 21: 15780},
    ("Category Twos and Threes", 8, 1): {0: 3799, 3: 22551, 6: 23754, 8: 29290, 10: 11990, 12: 8616},
    ("Category Twos and Threes", 8, 2): {0: 902, 4: 14360, 6: 13750, 9: 29893, 13: 30770, 15: 10325},
    ("Category Twos and Threes", 8, 3): {0: 2221, 4: 8122, 9: 23734, 12: 28527, 16: 28942, 18: 8454},
    ("Category Twos and Threes", 8, 4): {0: 140, 3: 8344, 12: 33635, 15: 28711, 18: 20093, 20: 9077},
    ("Category Twos and Threes", 8, 5): {0: 3601, 9: 10269, 12: 12458, 15: 28017, 18: 24815, 21: 20840},
    ("Category Twos and Threes", 8, 6): {0: 4104, 11: 10100, 15: 25259, 18: 30949, 21: 29588},
    ("Category Twos and Threes", 8, 7): {0: 3336, 12: 10227, 15: 14149, 18: 31155, 21: 29325, 23: 11808},
    ("Category Twos and Threes", 8, 8): {3: 7, 5: 7726, 16: 17997, 18: 21517, 21: 40641, 24: 12112},
    ("Category Sum of Odds", 1, 1): {0: 50084, 1: 16488, 3: 16584, 5: 16844},
    ("Category Sum of Odds", 1, 2): {0: 44489, 3: 27886, 5: 27625},
    ("Category Sum of Odds", 1, 3): {0: 27892, 3: 32299, 5: 39809},
    ("Category Sum of Odds", 1, 4): {0: 30917, 3: 19299, 5: 49784},
    ("Category Sum of Odds", 1, 5): {0: 25892, 3: 15941, 5: 58167},
    ("Category Sum of Odds", 1, 6): {0: 21678, 3: 13224, 5: 65098},
    ("Category Sum of Odds", 1, 7): {0: 17840, 3: 11191, 5: 70969},
    ("Category Sum of Odds", 1, 8): {0: 14690, 5: 85310},
    ("Category Sum of Odds", 2, 1): {0: 24611, 1: 19615, 3: 22234, 6: 25168, 8: 8372},
    ("Category Sum of Odds", 2, 2): {0: 11216, 3: 33181, 6: 32416, 8: 15414, 10: 7773},
    ("Category Sum of Odds", 2, 3): {0: 13730, 3: 17055, 5: 34933, 8: 18363, 10: 15919},
    ("Category Sum of Odds", 2, 4): {0: 9599, 3: 11842, 5: 34490, 8: 19129, 10: 24940},
    ("Category Sum of Odds", 2, 5): {0: 6652, 5: 40845, 8: 18712, 10: 33791},
    ("Category Sum of Odds", 2, 6): {0: 10404, 5: 20970, 8: 26124, 10: 42502},
    ("Category Sum of Odds", 2, 7): {0: 7262, 5: 26824, 8: 15860, 10: 50054},
    ("Category Sum of Odds", 2, 8): {0: 4950, 5: 23253, 8: 14179, 10: 57618},
    ("Category Sum of Odds", 3, 1): {0: 12467, 1: 16736, 4: 20970, 6: 29252, 8: 11660, 10: 8915},
    ("Category Sum of Odds", 3, 2): {0: 8635, 3: 15579, 6: 27649, 9: 30585, 13: 17552},
    ("Category Sum of Odds", 3, 3): {0: 5022, 6: 32067, 8: 21631, 11: 24032, 13: 17248},
    ("Category Sum of Odds", 3, 4): {0: 8260, 6: 17955, 8: 18530, 11: 28631, 13: 14216, 15: 12408},
    ("Category Sum of Odds", 3, 5): {0: 4685, 5: 13863, 8: 14915, 11: 30363, 13: 16370, 15: 19804},
    ("Category Sum of Odds", 3, 6): {0: 2766, 5: 10213, 8: 11372, 10: 30968, 13: 17133, 15: 27548},
    ("Category Sum of Odds", 3, 7): {0: 543, 3: 8448, 10: 28784, 13: 26258, 15: 35967},
    ("Category Sum of Odds", 3, 8): {0: 3760, 6: 8911, 11: 27672, 13: 16221, 15: 43436},
    ("Category Sum of Odds", 4, 1): {0: 18870, 5: 28873, 6: 18550, 9: 20881, 11: 12826},
    ("Category Sum of Odds", 4, 2): {0: 7974, 6: 23957, 9: 27982, 11: 15953, 13: 13643, 15: 10491},
    ("Category Sum of Odds", 4, 3): {0: 1778, 3: 8154, 8: 25036, 11: 24307, 13: 18030, 15: 14481, 18: 8214},
    ("Category Sum of Odds", 4, 4): {0: 1862, 4: 8889, 8: 11182, 11: 21997, 13: 19483, 16: 20879, 20: 15708},
    ("Category Sum of Odds", 4, 5): {0: 5687, 7: 8212, 11: 18674, 13: 17578, 16: 25572, 18: 12704, 20: 11573},
    ("Category Sum of Odds", 4, 6): {0: 6549, 11: 17161, 13: 15290, 16: 28355, 18: 14865, 20: 17780},
    ("Category Sum of Odds", 4, 7): {0: 5048, 10: 11824, 13: 12343, 16: 29544, 18: 15947, 20: 25294},
    ("Category Sum of Odds", 4, 8): {0: 3060, 10: 8747, 15: 29415, 18: 25762, 20: 33016},
    ("Category Sum of Odds", 5, 1): {0: 3061, 3: 22078, 6: 26935, 9: 23674, 11: 15144, 14: 9108},
    ("Category Sum of Odds", 5, 2): {0: 5813, 7: 19297, 9: 14666, 11: 17165, 14: 21681, 16: 10586, 18: 10792},
    ("Category Sum of Odds", 5, 3): {0: 3881, 6: 9272, 9: 10300, 11: 13443, 14: 24313, 16: 13969, 19: 16420, 21: 8402},
    ("Category Sum of Odds", 5, 4): {0: 4213, 8: 9656, 13: 24199, 16: 22188, 18: 16440, 20: 14313, 23: 8991},
    ("Category Sum of Odds", 5, 5): {0: 4997, 10: 9128, 13: 11376, 16: 20859, 18: 17548, 21: 20120, 25: 15972},
    ("Category Sum of Odds", 5, 6): {
        0: 4581,
        11: 8516,
        14: 11335,
        16: 10647,
        18: 16866,
        21: 24256,
        23: 11945,
        25: 11854,
    },
    ("Category Sum of Odds", 5, 7): {0: 176, 6: 8052, 16: 17535, 18: 14878, 21: 27189, 23: 14100, 25: 18070},
    ("Category Sum of Odds", 5, 8): {0: 2, 2: 6622, 15: 12097, 18: 12454, 21: 28398, 23: 15254, 25: 25173},
    ("Category Sum of Odds", 6, 1): {0: 11634, 4: 12188, 6: 16257, 9: 23909, 11: 13671, 13: 13125, 16: 9216},
    ("Category Sum of Odds", 6, 2): {0: 1403, 4: 8241, 10: 22151, 12: 14245, 14: 15279, 17: 19690, 21: 18991},
    ("Category Sum of Odds", 6, 3): {
        0: 6079,
        9: 10832,
        12: 10094,
        14: 13221,
        17: 22538,
        19: 12673,
        21: 15363,
        24: 9200,
    },
    ("Category Sum of Odds", 6, 4): {0: 5771, 11: 9419, 16: 22239, 19: 22715, 21: 12847, 23: 12798, 25: 9237, 28: 4974},
    ("Category Sum of Odds", 6, 5): {
        0: 2564,
        11: 8518,
        17: 20753,
        19: 14121,
        21: 13179,
        23: 15752,
        25: 14841,
        28: 10272,
    },
    ("Category Sum of Odds", 6, 6): {0: 4310, 14: 8668, 19: 20891, 21: 12052, 23: 16882, 26: 19954, 30: 17243},
    ("Category Sum of Odds", 6, 7): {
        0: 5233,
        16: 8503,
        19: 11127,
        21: 10285,
        23: 16141,
        26: 23993,
        28: 12043,
        30: 12675,
    },
    ("Category Sum of Odds", 6, 8): {0: 510, 12: 8107, 21: 17013, 23: 14396, 26: 26771, 28: 13964, 30: 19239},
    ("Category Sum of Odds", 7, 1): {
        0: 2591,
        2: 8436,
        5: 11759,
        7: 13733,
        9: 15656,
        11: 14851,
        13: 12301,
        15: 11871,
        18: 8802,
    },
    ("Category Sum of Odds", 7, 2): {
        0: 4730,
        8: 8998,
        11: 10573,
        13: 13099,
        15: 13819,
        17: 13594,
        19: 12561,
        21: 12881,
        24: 9745,
    },
    ("Category Sum of Odds", 7, 3): {
        0: 2549,
        9: 8523,
        15: 19566,
        17: 12251,
        19: 13562,
        21: 13473,
        23: 11918,
        27: 18158,
    },
    ("Category Sum of Odds", 7, 4): {0: 6776, 14: 9986, 19: 20914, 22: 21006, 24: 12685, 26: 10835, 30: 17798},
    ("Category Sum of Odds", 7, 5): {
        0: 2943,
        14: 8009,
        20: 20248,
        22: 11896,
        24: 14166,
        26: 12505,
        28: 13136,
        30: 10486,
        33: 6611,
    },
    ("Category Sum of Odds", 7, 6): {
        2: 1990,
        15: 8986,
        22: 19198,
        24: 13388,
        26: 12513,
        28: 15893,
        30: 15831,
        35: 12201,
    },
    ("Category Sum of Odds", 7, 7): {
        4: 559,
        14: 8153,
        21: 11671,
        24: 12064,
        26: 11473,
        28: 16014,
        31: 20785,
        33: 10174,
        35: 9107,
    },
    ("Category Sum of Odds", 7, 8): {0: 3, 8: 5190, 21: 8049, 24: 10585, 28: 25255, 31: 24333, 33: 12445, 35: 14140},
    ("Category Sum of Odds", 8, 1): {0: 7169, 7: 19762, 9: 14044, 11: 14858, 13: 13399, 15: 10801, 17: 11147, 20: 8820},
    ("Category Sum of Odds", 8, 2): {
        0: 7745,
        11: 10927,
        14: 10849,
        16: 13103,
        18: 13484,
        20: 12487,
        22: 10815,
        24: 11552,
        27: 9038,
    },
    ("Category Sum of Odds", 8, 3): {
        0: 3867,
        12: 9356,
        18: 19408,
        20: 12379,
        22: 12519,
        24: 12260,
        26: 11008,
        28: 10726,
        31: 8477,
    },
    ("Category Sum of Odds", 8, 4): {
        1: 3971,
        15: 9176,
        21: 18732,
        23: 12900,
        25: 13405,
        27: 11603,
        29: 10400,
        33: 19813,
    },
    ("Category Sum of Odds", 8, 5): {
        1: 490,
        12: 8049,
        20: 9682,
        23: 10177,
        25: 12856,
        27: 12369,
        29: 12781,
        32: 18029,
        34: 11315,
        38: 4252,
    },
    ("Category Sum of Odds", 8, 6): {
        4: 86,
        11: 8038,
        22: 9157,
        25: 10729,
        27: 11053,
        29: 13606,
        31: 12383,
        33: 14068,
        35: 12408,
        38: 8472,
    },
    ("Category Sum of Odds", 8, 7): {
        6: 1852,
        20: 8020,
        27: 17455,
        29: 12898,
        31: 12181,
        33: 15650,
        35: 17577,
        40: 14367,
    },
    ("Category Sum of Odds", 8, 8): {
        4: 8,
        11: 8008,
        26: 10314,
        29: 11446,
        31: 10714,
        33: 16060,
        36: 21765,
        38: 10622,
        40: 11063,
    },
    ("Category Sum of Evens", 1, 1): {0: 49585, 2: 16733, 4: 16854, 6: 16828},
    ("Category Sum of Evens", 1, 2): {0: 33244, 2: 11087, 4: 28025, 6: 27644},
    ("Category Sum of Evens", 1, 3): {0: 22259, 4: 42357, 6: 35384},
    ("Category Sum of Evens", 1, 4): {0: 18511, 4: 35651, 6: 45838},
    ("Category Sum of Evens", 1, 5): {0: 15428, 4: 29656, 6: 54916},
    ("Category Sum of Evens", 1, 6): {0: 12927, 4: 24370, 6: 62703},
    ("Category Sum of Evens", 1, 7): {0: 14152, 4: 17087, 6: 68761},
    ("Category Sum of Evens", 1, 8): {0: 11920, 4: 14227, 6: 73853},
    ("Category Sum of Evens", 2, 1): {0: 25229, 2: 16545, 4: 19538, 6: 21987, 10: 16701},
    ("Category Sum of Evens", 2, 2): {0: 11179, 4: 27164, 6: 24451, 8: 13966, 10: 15400, 12: 7840},
    ("Category Sum of Evens", 2, 3): {0: 8099, 4: 16354, 6: 20647, 8: 17887, 10: 24736, 12: 12277},
    ("Category Sum of Evens", 2, 4): {0: 5687, 4: 11219, 6: 20711, 8: 14290, 10: 26976, 12: 21117},
    ("Category Sum of Evens", 2, 5): {0: 3991, 6: 27157, 8: 11641, 10: 26842, 12: 30369},
    ("Category Sum of Evens", 2, 6): {0: 2741, 6: 23123, 10: 35050, 12: 39086},
    ("Category Sum of Evens", 2, 7): {0: 1122, 6: 20538, 10: 30952, 12: 47388},
    ("Category Sum of Evens", 2, 8): {0: 3950, 6: 14006, 10: 27341, 12: 54703},
    ("Category Sum of Evens", 3, 1): {0: 12538, 2: 12516, 4: 16530, 6: 21270, 8: 13745, 10: 11209, 14: 12192},
    ("Category Sum of Evens", 3, 2): {0: 7404, 4: 10459, 6: 15644, 8: 15032, 10: 18955, 12: 15021, 16: 17485},
    ("Category Sum of Evens", 3, 3): {0: 2176, 6: 14148, 8: 12295, 10: 20247, 12: 18001, 14: 15953, 16: 17180},
    ("Category Sum of Evens", 3, 4): {0: 4556, 8: 15062, 10: 17232, 12: 18975, 14: 15832, 16: 18749, 18: 9594},
    ("Category Sum of Evens", 3, 5): {0: 2575, 8: 10825, 10: 13927, 12: 19533, 14: 14402, 16: 21954, 18: 16784},
    ("Category Sum of Evens", 3, 6): {0: 1475, 6: 7528, 10: 10614, 12: 19070, 14: 12940, 16: 23882, 18: 24491},
    ("Category Sum of Evens", 3, 7): {0: 862, 6: 5321, 12: 26291, 14: 10985, 16: 24254, 18: 32287},
    ("Category Sum of Evens", 3, 8): {0: 138, 4: 4086, 12: 22703, 16: 32516, 18: 40557},
    ("Category Sum of Evens", 4, 1): {0: 6214, 4: 20921, 6: 17434, 8: 15427, 10: 14158, 12: 11354, 16: 14492},
    ("Category Sum of Evens", 4, 2): {
        0: 2868,
        6: 13362,
        8: 10702,
        10: 15154,
        12: 15715,
        14: 14104,
        16: 12485,
        20: 15610,
    },
    ("Category Sum of Evens", 4, 3): {
        0: 573,
        8: 10496,
        10: 10269,
        12: 12879,
        14: 16224,
        16: 17484,
        18: 13847,
        20: 10518,
        22: 7710,
    },
    ("Category Sum of Evens", 4, 4): {
        0: 1119,
        6: 5124,
        12: 17394,
        14: 12763,
        16: 17947,
        18: 16566,
        20: 13338,
        22: 15749,
    },
    ("Category Sum of Evens", 4, 5): {0: 3477, 12: 12738, 16: 26184, 18: 18045, 20: 14172, 22: 16111, 24: 9273},
    ("Category Sum of Evens", 4, 6): {0: 991, 12: 10136, 16: 21089, 18: 18805, 20: 13848, 22: 20013, 24: 15118},
    ("Category Sum of Evens", 4, 7): {0: 2931, 16: 21174, 18: 18952, 20: 12601, 22: 21947, 24: 22395},
    ("Category Sum of Evens", 4, 8): {0: 1798, 12: 6781, 18: 27146, 20: 11505, 22: 23056, 24: 29714},
    ("Category Sum of Evens", 5, 1): {
        0: 3192,
        4: 13829,
        6: 13373,
        8: 13964,
        10: 14656,
        12: 13468,
        14: 10245,
        18: 17273,
    },
    ("Category Sum of Evens", 5, 2): {
        0: 3217,
        8: 10390,
        12: 22094,
        14: 13824,
        16: 14674,
        18: 12124,
        22: 16619,
        24: 7058,
    },
    ("Category Sum of Evens", 5, 3): {
        0: 3904,
        12: 11004,
        14: 10339,
        16: 13128,
        18: 14686,
        20: 15282,
        22: 13294,
        26: 18363,
    },
    ("Category Sum of Evens", 5, 4): {
        0: 43,
        4: 4025,
        14: 10648,
        16: 10437,
        18: 12724,
        20: 14710,
        22: 16005,
        24: 12896,
        28: 18512,
    },
    ("Category Sum of Evens", 5, 5): {
        0: 350,
        8: 4392,
        16: 11641,
        18: 10297,
        20: 12344,
        22: 16826,
        24: 15490,
        26: 12235,
        28: 16425,
    },
    ("Category Sum of Evens", 5, 6): {
        0: 374,
        10: 4670,
        18: 13498,
        22: 25729,
        24: 17286,
        26: 13565,
        28: 15274,
        30: 9604,
    },
    ("Category Sum of Evens", 5, 7): {0: 1473, 18: 11310, 22: 21341, 24: 18114, 26: 13349, 28: 19048, 30: 15365},
    ("Category Sum of Evens", 5, 8): {0: 1, 4: 3753, 20: 10318, 22: 11699, 24: 18376, 26: 12500, 28: 21211, 30: 22142},
    ("Category Sum of Evens", 6, 1): {
        0: 4767,
        6: 15250,
        8: 11527,
        10: 13220,
        12: 13855,
        14: 12217,
        16: 10036,
        20: 19128,
    },
    ("Category Sum of Evens", 6, 2): {
        0: 1380,
        6: 5285,
        12: 13888,
        14: 10495,
        16: 12112,
        18: 12962,
        20: 12458,
        22: 10842,
        26: 14076,
        28: 6502,
    },
    ("Category Sum of Evens", 6, 3): {
        0: 1230,
        16: 17521,
        18: 10098,
        20: 12628,
        22: 13809,
        24: 13594,
        26: 11930,
        30: 19190,
    },
    ("Category Sum of Evens", 6, 4): {0: 1235, 18: 15534, 22: 22081, 24: 13471, 26: 13991, 28: 12906, 32: 20782},
    ("Category Sum of Evens", 6, 5): {0: 1241, 20: 15114, 24: 21726, 26: 13874, 28: 15232, 30: 12927, 34: 19886},
    ("Category Sum of Evens", 6, 6): {0: 1224, 22: 15886, 26: 21708, 28: 15982, 30: 15534, 32: 12014, 34: 17652},
    ("Category Sum of Evens", 6, 7): {4: 1437, 24: 17624, 28: 24727, 30: 17083, 32: 13001, 34: 15604, 36: 10524},
    ("Category Sum of Evens", 6, 8): {4: 1707, 24: 11310, 28: 20871, 30: 18101, 32: 12842, 34: 18840, 36: 16329},
    ("Category Sum of Evens", 7, 1): {
        0: 6237,
        8: 15390,
        10: 11183,
        12: 12690,
        14: 12463,
        16: 11578,
        20: 17339,
        22: 8870,
        26: 4250,
    },
    ("Category Sum of Evens", 7, 2): {
        0: 1433,
        14: 16705,
        18: 19797,
        20: 11747,
        22: 12101,
        24: 10947,
        28: 16547,
        32: 10723,
    },
    ("Category Sum of Evens", 7, 3): {
        0: 2135,
        14: 5836,
        20: 13766,
        22: 10305,
        24: 12043,
        26: 13153,
        28: 12644,
        30: 10884,
        34: 19234,
    },
    ("Category Sum of Evens", 7, 4): {
        0: 1762,
        22: 16471,
        26: 20839,
        28: 12907,
        30: 13018,
        32: 11907,
        34: 10022,
        38: 13074,
    },
    ("Category Sum of Evens", 7, 5): {
        4: 1630,
        24: 14719,
        28: 20377,
        30: 12713,
        32: 13273,
        34: 13412,
        36: 10366,
        40: 13510,
    },
    ("Category Sum of Evens", 7, 6): {
        4: 1436,
        26: 14275,
        30: 20680,
        32: 12798,
        34: 15385,
        36: 13346,
        38: 10011,
        40: 12069,
    },
    ("Category Sum of Evens", 7, 7): {
        6: 2815,
        24: 6584,
        30: 16532,
        32: 11106,
        34: 15613,
        36: 15702,
        38: 12021,
        40: 12478,
        42: 7149,
    },
    ("Category Sum of Evens", 7, 8): {10: 1490, 30: 16831, 34: 23888, 36: 16970, 38: 12599, 40: 16137, 42: 12085},
    ("Category Sum of Evens", 8, 1): {
        0: 3709,
        8: 10876,
        12: 19246,
        14: 11696,
        16: 11862,
        18: 11145,
        22: 16877,
        24: 9272,
        28: 5317,
    },
    ("Category Sum of Evens", 8, 2): {
        0: 1361,
        16: 14530,
        20: 17637,
        22: 10922,
        24: 11148,
        26: 10879,
        30: 17754,
        34: 15769,
    },
    ("Category Sum of Evens", 8, 3): {
        2: 1601,
        22: 14895,
        26: 18464,
        28: 11561,
        30: 12249,
        32: 11747,
        34: 10070,
        38: 19413,
    },
    ("Category Sum of Evens", 8, 4): {
        0: 2339,
        20: 5286,
        26: 11746,
        30: 19858,
        32: 12344,
        34: 12243,
        36: 11307,
        40: 16632,
        42: 8245,
    },
    ("Category Sum of Evens", 8, 5): {
        4: 1798,
        28: 14824,
        32: 18663,
        34: 12180,
        36: 12458,
        38: 12260,
        40: 10958,
        44: 16859,
    },
    ("Category Sum of Evens", 8, 6): {
        6: 2908,
        26: 6292,
        32: 13573,
        34: 10367,
        36: 12064,
        38: 12862,
        40: 13920,
        42: 11359,
        46: 16655,
    },
    ("Category Sum of Evens", 8, 7): {
        8: 2652,
        28: 6168,
        34: 13922,
        36: 10651,
        38: 12089,
        40: 14999,
        42: 13899,
        44: 10574,
        46: 15046,
    },
    ("Category Sum of Evens", 8, 8): {
        10: 2547,
        30: 6023,
        36: 15354,
        38: 10354,
        40: 14996,
        42: 16214,
        44: 11803,
        46: 13670,
        48: 9039,
    },
    ("Category Double Threes and Fours", 1, 1): {0: 66749, 6: 16591, 8: 16660},
    ("Category Double Threes and Fours", 1, 2): {0: 44675, 6: 27694, 8: 27631},
    ("Category Double Threes and Fours", 1, 3): {0: 29592, 6: 35261, 8: 35147},
    ("Category Double Threes and Fours", 1, 4): {0: 24601, 6: 29406, 8: 45993},
    ("Category Double Threes and Fours", 1, 5): {0: 20499, 6: 24420, 8: 55081},
    ("Category Double Threes and Fours", 1, 6): {0: 17116, 6: 20227, 8: 62657},
    ("Category Double Threes and Fours", 1, 7): {0: 14193, 6: 17060, 8: 68747},
    ("Category Double Threes and Fours", 1, 8): {0: 11977, 6: 13924, 8: 74099},
    ("Category Double Threes and Fours", 2, 1): {0: 44382, 6: 22191, 8: 22251, 14: 11176},
    ("Category Double Threes and Fours", 2, 2): {0: 19720, 6: 24652, 8: 24891, 14: 23096, 16: 7641},
    ("Category Double Threes and Fours", 2, 3): {0: 8765, 6: 21008, 8: 20929, 12: 12201, 14: 24721, 16: 12376},
    ("Category Double Threes and Fours", 2, 4): {0: 6164, 6: 14466, 8: 22828, 14: 35406, 16: 21136},
    ("Category Double Threes and Fours", 2, 5): {0: 4307, 6: 10005, 8: 22620, 14: 32879, 16: 30189},
    ("Category Double Threes and Fours", 2, 6): {0: 2879, 8: 28513, 14: 29530, 16: 39078},
    ("Category Double Threes and Fours", 2, 7): {0: 2042, 8: 24335, 14: 26250, 16: 47373},
    ("Category Double Threes and Fours", 2, 8): {0: 1385, 8: 23166, 14: 20907, 16: 54542},
    ("Category Double Threes and Fours", 3, 1): {0: 29378, 6: 22335, 8: 22138, 14: 16783, 16: 9366},
    ("Category Double Threes and Fours", 3, 2): {
        0: 8894,
        6: 16518,
        8: 16277,
        12: 10334,
        14: 20757,
        16: 12265,
        22: 14955,
    },
    ("Category Double Threes and Fours", 3, 3): {
        0: 2643,
        8: 18522,
        12: 11066,
        14: 21922,
        16: 11045,
        20: 17235,
        22: 17567,
    },
    ("Category Double Threes and Fours", 3, 4): {
        0: 1523,
        8: 13773,
        14: 26533,
        16: 18276,
        20: 11695,
        22: 18521,
        24: 9679,
    },
    ("Category Double Threes and Fours", 3, 5): {0: 845, 8: 10218, 14: 20245, 16: 20293, 22: 31908, 24: 16491},
    ("Category Double Threes and Fours", 3, 6): {0: 499, 8: 7230, 14: 15028, 16: 20914, 22: 31835, 24: 24494},
    ("Category Double Threes and Fours", 3, 7): {0: 1298, 8: 5434, 16: 30595, 22: 29980, 24: 32693},
    ("Category Double Threes and Fours", 3, 8): {0: 178, 6: 4363, 16: 27419, 22: 27614, 24: 40426},
    ("Category Double Threes and Fours", 4, 1): {0: 19809, 6: 19538, 8: 19765, 14: 22348, 18: 12403, 22: 6137},
    ("Category Double Threes and Fours", 4, 2): {
        0: 3972,
        8: 19440,
        14: 27646,
        16: 12978,
        20: 11442,
        22: 11245,
        24: 6728,
        28: 6549,
    },
    ("Category Double Threes and Fours", 4, 3): {
        0: 745,
        6: 7209,
        14: 19403,
        18: 11744,
        20: 15371,
        22: 15441,
        26: 13062,
        30: 17025,
    },
    ("Category Double Threes and Fours", 4, 4): {
        0: 371,
        6: 4491,
        14: 13120,
        16: 10176,
        20: 11583,
        22: 18508,
        24: 10280,
        28: 15624,
        30: 15847,
    },
    ("Category Double Threes and Fours", 4, 5): {
        0: 163,
        6: 4251,
        16: 15796,
        22: 26145,
        24: 17306,
        28: 10930,
        30: 16244,
        32: 9165,
    },
    ("Category Double Threes and Fours", 4, 6): {0: 79, 16: 14439, 22: 21763, 24: 18861, 30: 29518, 32: 15340},
    ("Category Double Threes and Fours", 4, 7): {0: 1042, 16: 12543, 22: 13634, 24: 20162, 30: 30259, 32: 22360},
    ("Category Double Threes and Fours", 4, 8): {0: 20, 6: 2490, 16: 6901, 22: 10960, 24: 20269, 30: 29442, 32: 29918},
    ("Category Double Threes and Fours", 5, 1): {
        0: 13122,
        6: 16411,
        8: 16451,
        14: 24768,
        16: 10392,
        22: 14528,
        26: 4328,
    },
    ("Category Double Threes and Fours", 5, 2): {
        0: 1676,
        8: 10787,
        14: 20218,
        18: 11102,
        20: 12668,
        22: 12832,
        26: 10994,
        30: 15390,
        34: 4333,
    },
    ("Category Double Threes and Fours", 5, 3): {
        0: 223,
        14: 12365,
        16: 7165,
        20: 11385,
        22: 11613,
        26: 15182,
        28: 13665,
        32: 14400,
        36: 14002,
    },
    ("Category Double Threes and Fours", 5, 4): {
        0: 95,
        6: 2712,
        16: 8862,
        22: 18696,
        26: 12373,
        28: 13488,
        30: 14319,
        34: 12414,
        38: 17041,
    },
    ("Category Double Threes and Fours", 5, 5): {
        0: 1333,
        14: 5458,
        22: 13613,
        24: 10772,
        28: 11201,
        30: 16810,
        32: 10248,
        36: 14426,
        38: 16139,
    },
    ("Category Double Threes and Fours", 5, 6): {
        0: 16,
        16: 6354,
        24: 16213,
        30: 25369,
        32: 16845,
        36: 10243,
        38: 15569,
        40: 9391,
    },
    ("Category Double Threes and Fours", 5, 7): {
        0: 161,
        12: 3457,
        24: 12437,
        30: 21495,
        32: 18636,
        38: 28581,
        40: 15233,
    },
    ("Category Double Threes and Fours", 5, 8): {
        0: 478,
        16: 4861,
        26: 10119,
        30: 13694,
        32: 19681,
        38: 29177,
        40: 21990,
    },
    ("Category Double Threes and Fours", 6, 1): {
        0: 8738,
        6: 13463,
        8: 12988,
        14: 24653,
        16: 11068,
        22: 19621,
        26: 5157,
        30: 4312,
    },
    ("Category Double Threes and Fours", 6, 2): {
        0: 784,
        6: 5735,
        14: 13407,
        16: 8170,
        20: 11349,
        22: 11356,
        26: 12465,
        28: 10790,
        30: 11527,
        38: 14417,
    },
    ("Category Double Threes and Fours", 6, 3): {
        0: 72,
        14: 8986,
        22: 13700,
        26: 12357,
        28: 12114,
        32: 15882,
        36: 19286,
        40: 13540,
        44: 4063,
    },
    ("Category Double Threes and Fours", 6, 4): {
        0: 439,
        18: 7427,
        22: 9284,
        28: 14203,
        30: 10836,
        34: 14646,
        36: 12511,
        38: 10194,
        42: 10202,
        46: 10258,
    },
    ("Category Double Threes and Fours", 6, 5): {
        0: 166,
        20: 7618,
        24: 5198,
        30: 17479,
        34: 12496,
        36: 12190,
        38: 14163,
        42: 12571,
        46: 18119,
    },
    ("Category Double Threes and Fours", 6, 6): {
        0: 1843,
        22: 5905,
        30: 12997,
        32: 10631,
        36: 10342,
        38: 16439,
        40: 10795,
        44: 13485,
        46: 17563,
    },
    ("Category Double Threes and Fours", 6, 7): {
        0: 31,
        12: 2221,
        24: 5004,
        32: 15743,
        38: 24402,
        40: 17005,
        46: 25241,
        48: 10353,
    },
    ("Category Double Threes and Fours", 6, 8): {
        8: 79,
        16: 4037,
        32: 12559,
        38: 20863,
        40: 18347,
        46: 27683,
        48: 16432,
    },
    ("Category Double Threes and Fours", 7, 1): {
        0: 5803,
        6: 10242,
        8: 10404,
        14: 22886,
        16: 10934,
        22: 19133,
        24: 7193,
        28: 8167,
        32: 5238,
    },
    ("Category Double Threes and Fours", 7, 2): {
        0: 357,
        14: 17082,
        22: 17524,
        26: 11974,
        28: 11132,
        32: 13186,
        36: 13959,
        40: 10028,
        44: 4758,
    },
    ("Category Double Threes and Fours", 7, 3): {
        0: 361,
        18: 7136,
        22: 5983,
        28: 13899,
        32: 12974,
        34: 10088,
        36: 10081,
        40: 14481,
        44: 14127,
        46: 6547,
        50: 4323,
    },
    ("Category Double Threes and Fours", 7, 4): {
        0: 1182,
        18: 4299,
        30: 16331,
        34: 11316,
        36: 10741,
        40: 16028,
        44: 18815,
        48: 15225,
        52: 6063,
    },
    ("Category Double Threes and Fours", 7, 5): {
        0: 45,
        12: 3763,
        32: 17140,
        38: 19112,
        42: 13655,
        44: 11990,
        46: 11137,
        50: 10646,
        54: 12512,
    },
    ("Category Double Threes and Fours", 7, 6): {
        8: 2400,
        28: 5277,
        32: 5084,
        38: 16047,
        42: 12133,
        44: 11451,
        46: 14027,
        50: 13198,
        54: 20383,
    },
    ("Category Double Threes and Fours", 7, 7): {
        6: 1968,
        30: 5585,
        38: 12210,
        40: 10376,
        46: 25548,
        48: 15392,
        54: 21666,
        56: 7255,
    },
    ("Category Double Threes and Fours", 7, 8): {
        8: 42,
        20: 2293,
        32: 4653,
        40: 15068,
        46: 23170,
        48: 17057,
        54: 25601,
        56: 12116,
    },
    ("Category Double Threes and Fours", 8, 1): {
        0: 3982,
        8: 15658,
        14: 20388,
        16: 10234,
        20: 10167,
        22: 10162,
        28: 15330,
        32: 8758,
        36: 5321,
    },
    ("Category Double Threes and Fours", 8, 2): {
        0: 161,
        6: 3169,
        14: 7106,
        22: 16559,
        28: 16400,
        32: 12950,
        36: 16399,
        40: 10090,
        44: 11474,
        48: 5692,
    },
    ("Category Double Threes and Fours", 8, 3): {
        0: 856,
        16: 4092,
        30: 13686,
        34: 12838,
        38: 15010,
        42: 17085,
        46: 14067,
        50: 11844,
        52: 6500,
        56: 4022,
    },
    ("Category Double Threes and Fours", 8, 4): {
        0: 36,
        12: 2795,
        30: 9742,
        36: 11726,
        40: 12404,
        44: 18791,
        48: 14662,
        52: 15518,
        54: 8066,
        58: 6260,
    },
    ("Category Double Threes and Fours", 8, 5): {
        6: 8,
        12: 2948,
        30: 5791,
        38: 10658,
        42: 10175,
        46: 19359,
        50: 14449,
        52: 10531,
        56: 13257,
        60: 12824,
    },
    ("Category Double Threes and Fours", 8, 6): {
        0: 2,
        12: 2528,
        32: 4832,
        40: 11436,
        46: 17832,
        50: 13016,
        52: 11631,
        54: 12058,
        58: 11458,
        62: 15207,
    },
    ("Category Double Threes and Fours", 8, 7): {
        6: 2,
        12: 2204,
        40: 9320,
        46: 14688,
        50: 11494,
        52: 10602,
        54: 14541,
        58: 13849,
        62: 23300,
    },
    ("Category Double Threes and Fours", 8, 8): {
        8: 1,
        16: 1773,
        42: 8766,
        48: 17452,
        54: 24338,
        56: 15722,
        62: 22745,
        64: 9203,
    },
    ("Category Quadruple Ones and Twos", 1, 1): {0: 66567, 4: 16803, 8: 16630},
    ("Category Quadruple Ones and Twos", 1, 2): {0: 44809, 4: 27448, 8: 27743},
    ("Category Quadruple Ones and Twos", 1, 3): {0: 37100, 4: 23184, 8: 39716},
    ("Category Quadruple Ones and Twos", 1, 4): {0: 30963, 4: 19221, 8: 49816},
    ("Category Quadruple Ones and Twos", 1, 5): {0: 25316, 4: 16079, 8: 58605},
    ("Category Quadruple Ones and Twos", 1, 6): {0: 21505, 4: 13237, 8: 65258},
    ("Category Quadruple Ones and Twos", 1, 7): {0: 17676, 4: 11100, 8: 71224},
    ("Category Quadruple Ones and Twos", 1, 8): {0: 14971, 4: 9323, 8: 75706},
    ("Category Quadruple Ones and Twos", 2, 1): {0: 44566, 4: 22273, 8: 24842, 12: 8319},
    ("Category Quadruple Ones and Twos", 2, 2): {0: 19963, 4: 24890, 8: 32262, 12: 15172, 16: 7713},
    ("Category Quadruple Ones and Twos", 2, 3): {0: 13766, 4: 17158, 8: 34907, 12: 18539, 16: 15630},
    ("Category Quadruple Ones and Twos", 2, 4): {0: 9543, 4: 11981, 8: 34465, 12: 19108, 16: 24903},
    ("Category Quadruple Ones and Twos", 2, 5): {0: 6472, 4: 8302, 8: 32470, 12: 18612, 16: 34144},
    ("Category Quadruple Ones and Twos", 2, 6): {0: 4569, 4: 5737, 8: 29716, 12: 17216, 16: 42762},
    ("Category Quadruple Ones and Twos", 2, 7): {0: 3146, 8: 30463, 12: 15756, 16: 50635},
    ("Category Quadruple Ones and Twos", 2, 8): {0: 2265, 8: 26302, 12: 14167, 16: 57266},
    ("Category Quadruple Ones and Twos", 3, 1): {0: 29440, 4: 22574, 8: 27747, 12: 11557, 16: 8682},
    ("Category Quadruple Ones and Twos", 3, 2): {0: 8857, 4: 16295, 8: 26434, 12: 22986, 16: 16799, 20: 8629},
    ("Category Quadruple Ones and Twos", 3, 3): {0: 5063, 4: 9447, 8: 22255, 12: 21685, 16: 24084, 20: 11167, 24: 6299},
    ("Category Quadruple Ones and Twos", 3, 4): {
        0: 2864,
        4: 5531,
        8: 17681,
        12: 18400,
        16: 28524,
        20: 14552,
        24: 12448,
    },
    ("Category Quadruple Ones and Twos", 3, 5): {0: 1676, 8: 16697, 12: 14755, 16: 30427, 20: 16602, 24: 19843},
    ("Category Quadruple Ones and Twos", 3, 6): {0: 2681, 8: 10259, 12: 11326, 16: 31125, 20: 16984, 24: 27625},
    ("Category Quadruple Ones and Twos", 3, 7): {0: 1688, 8: 7543, 12: 8769, 16: 29367, 20: 17085, 24: 35548},
    ("Category Quadruple Ones and Twos", 3, 8): {0: 941, 8: 5277, 12: 6388, 16: 27741, 20: 16170, 24: 43483},
    ("Category Quadruple Ones and Twos", 4, 1): {0: 19691, 4: 19657, 8: 27288, 12: 16126, 16: 11167, 24: 6071},
    ("Category Quadruple Ones and Twos", 4, 2): {
        0: 4023,
        4: 9776,
        8: 19015,
        12: 22094,
        16: 20986,
        20: 13805,
        24: 10301,
    },
    ("Category Quadruple Ones and Twos", 4, 3): {
        0: 1848,
        8: 17116,
        12: 16853,
        16: 22831,
        20: 18400,
        24: 14480,
        28: 8472,
    },
    ("Category Quadruple Ones and Twos", 4, 4): {
        0: 930,
        8: 10375,
        12: 12063,
        16: 21220,
        20: 19266,
        24: 20615,
        28: 9443,
        32: 6088,
    },
    ("Category Quadruple Ones and Twos", 4, 5): {
        0: 1561,
        12: 12612,
        16: 18209,
        20: 17910,
        24: 25474,
        28: 12864,
        32: 11370,
    },
    ("Category Quadruple Ones and Twos", 4, 6): {
        0: 722,
        12: 7979,
        16: 14796,
        20: 15416,
        24: 28256,
        28: 14675,
        32: 18156,
    },
    ("Category Quadruple Ones and Twos", 4, 7): {
        0: 115,
        12: 5304,
        16: 11547,
        20: 12289,
        24: 29181,
        28: 16052,
        32: 25512,
    },
    ("Category Quadruple Ones and Twos", 4, 8): {0: 164, 8: 2971, 16: 8888, 20: 9679, 24: 28785, 28: 16180, 32: 33333},
    ("Category Quadruple Ones and Twos", 5, 1): {
        0: 13112,
        4: 16534,
        8: 24718,
        12: 18558,
        16: 14547,
        20: 7055,
        24: 5476,
    },
    ("Category Quadruple Ones and Twos", 5, 2): {
        0: 1764,
        4: 5529,
        8: 12216,
        12: 17687,
        16: 20808,
        20: 18149,
        24: 12849,
        28: 6991,
        32: 4007,
    },
    ("Category Quadruple Ones and Twos", 5, 3): {
        0: 719,
        8: 8523,
        12: 11074,
        16: 17322,
        20: 19002,
        24: 18643,
        28: 12827,
        32: 7960,
        36: 3930,
    },
    ("Category Quadruple Ones and Twos", 5, 4): {
        0: 1152,
        12: 9790,
        16: 12913,
        20: 15867,
        24: 20749,
        28: 16398,
        32: 14218,
        36: 8913,
    },
    ("Category Quadruple Ones and Twos", 5, 5): {
        0: 98,
        12: 5549,
        16: 8863,
        20: 12037,
        24: 20010,
        28: 17568,
        32: 19789,
        36: 9319,
        40: 6767,
    },
    ("Category Quadruple Ones and Twos", 5, 6): {
        0: 194,
        8: 2663,
        16: 5734,
        20: 8436,
        24: 17830,
        28: 16864,
        32: 24246,
        36: 12115,
        40: 11918,
    },
    ("Category Quadruple Ones and Twos", 5, 7): {
        0: 1449,
        20: 9396,
        24: 14936,
        28: 14969,
        32: 27238,
        36: 14094,
        40: 17918,
    },
    ("Category Quadruple Ones and Twos", 5, 8): {
        0: 747,
        20: 6034,
        24: 11929,
        28: 12517,
        32: 28388,
        36: 15339,
        40: 25046,
    },
    ("Category Quadruple Ones and Twos", 6, 1): {
        0: 8646,
        4: 13011,
        8: 21357,
        12: 19385,
        16: 17008,
        20: 10409,
        24: 6249,
        28: 3935,
    },
    ("Category Quadruple Ones and Twos", 6, 2): {
        0: 844,
        8: 10311,
        12: 12792,
        16: 17480,
        20: 18814,
        24: 16492,
        28: 11889,
        32: 6893,
        36: 4485,
    },
    ("Category Quadruple Ones and Twos", 6, 3): {
        0: 1241,
        12: 9634,
        16: 11685,
        20: 15584,
        24: 17967,
        28: 16506,
        32: 13314,
        36: 8034,
        40: 6035,
    },
    ("Category Quadruple Ones and Twos", 6, 4): {
        0: 1745,
        16: 9804,
        20: 10562,
        24: 15746,
        28: 17174,
        32: 17787,
        36: 12820,
        40: 9289,
        44: 5073,
    },
    ("Category Quadruple Ones and Twos", 6, 5): {
        0: 2076,
        20: 10247,
        24: 12264,
        28: 14810,
        32: 19588,
        36: 16002,
        40: 14682,
        44: 6410,
        48: 3921,
    },
    ("Category Quadruple Ones and Twos", 6, 6): {
        0: 884,
        20: 5943,
        24: 8774,
        28: 11481,
        32: 19145,
        36: 16864,
        40: 19906,
        44: 9386,
        48: 7617,
    },
    ("Category Quadruple Ones and Twos", 6, 7): {
        0: 1386,
        24: 8138,
        28: 8372,
        32: 17207,
        36: 16148,
        40: 24051,
        44: 11862,
        48: 12836,
    },
    ("Category Quadruple Ones and Twos", 6, 8): {
        0: 1841,
        28: 9606,
        32: 14489,
        36: 14585,
        40: 26779,
        44: 13821,
        48: 18879,
    },
    ("Category Quadruple Ones and Twos", 7, 1): {
        0: 5780,
        4: 10185,
        8: 17905,
        12: 18364,
        16: 18160,
        20: 13115,
        24: 8617,
        32: 7874,
    },
    ("Category Quadruple Ones and Twos", 7, 2): {
        0: 1795,
        12: 12828,
        16: 13204,
        20: 16895,
        24: 17562,
        28: 15061,
        32: 11122,
        36: 6507,
        40: 5026,
    },
    ("Category Quadruple Ones and Twos", 7, 3): {
        0: 2065,
        16: 10495,
        20: 11008,
        24: 14839,
        28: 16393,
        32: 16118,
        36: 12681,
        40: 8773,
        48: 7628,
    },
    ("Category Quadruple Ones and Twos", 7, 4): {
        0: 1950,
        20: 9612,
        24: 10535,
        28: 13596,
        32: 16527,
        36: 15938,
        40: 14071,
        44: 9192,
        48: 8579,
    },
    ("Category Quadruple Ones and Twos", 7, 5): {
        0: 223,
        20: 5144,
        24: 6337,
        28: 9400,
        32: 14443,
        36: 15955,
        40: 17820,
        44: 13369,
        48: 10702,
        56: 6607,
    },
    ("Category Quadruple Ones and Twos", 7, 6): {
        0: 271,
        24: 5976,
        28: 5988,
        32: 11398,
        36: 13738,
        40: 19063,
        44: 15587,
        48: 15867,
        52: 7202,
        56: 4910,
    },
    ("Category Quadruple Ones and Twos", 7, 7): {
        0: 1032,
        28: 5724,
        32: 8275,
        36: 10801,
        40: 18184,
        44: 16470,
        48: 20467,
        52: 9969,
        56: 9078,
    },
    ("Category Quadruple Ones and Twos", 7, 8): {
        0: 1508,
        32: 7832,
        36: 7770,
        40: 16197,
        44: 15477,
        48: 24388,
        52: 12403,
        56: 14425,
    },
    ("Category Quadruple Ones and Twos", 8, 1): {
        0: 3811,
        4: 7682,
        8: 14638,
        12: 17214,
        16: 18191,
        20: 14651,
        24: 10976,
        28: 6591,
        36: 6246,
    },
    ("Category Quadruple Ones and Twos", 8, 2): {
        0: 906,
        12: 7768,
        16: 9421,
        20: 13623,
        24: 16213,
        28: 16246,
        32: 14131,
        36: 10076,
        40: 6198,
        48: 5418,
    },
    ("Category Quadruple Ones and Twos", 8, 3): {
        0: 224,
        8: 2520,
        20: 11222,
        24: 10733,
        28: 13934,
        32: 15751,
        36: 14882,
        40: 12409,
        44: 8920,
        48: 5462,
        52: 3943,
    },
    ("Category Quadruple Ones and Twos", 8, 4): {
        0: 233,
        20: 5163,
        24: 6057,
        28: 9073,
        32: 12990,
        36: 14756,
        40: 15851,
        44: 13795,
        48: 10706,
        52: 6310,
        56: 5066,
    },
    ("Category Quadruple Ones and Twos", 8, 5): {
        0: 76,
        12: 2105,
        28: 8316,
        32: 8993,
        36: 12039,
        40: 15561,
        44: 15382,
        48: 15278,
        52: 10629,
        56: 7377,
        60: 4244,
    },
    ("Category Quadruple Ones and Twos", 8, 6): {
        4: 262,
        32: 10321,
        36: 8463,
        40: 13177,
        44: 14818,
        48: 17731,
        52: 14024,
        56: 12425,
        60: 5446,
        64: 3333,
    },
    ("Category Quadruple Ones and Twos", 8, 7): {
        8: 300,
        32: 5443,
        36: 5454,
        40: 10276,
        44: 12582,
        48: 18487,
        52: 15549,
        56: 17187,
        60: 8149,
        64: 6573,
    },
    ("Category Quadruple Ones and Twos", 8, 8): {
        8: 354,
        36: 5678,
        40: 7484,
        44: 9727,
        48: 17080,
        52: 15898,
        56: 21877,
        60: 10773,
        64: 11129,
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    ("Category Micro Straight", 1, 2): {0: 100000},
    ("Category Micro Straight", 1, 3): {0: 100000},
    ("Category Micro Straight", 1, 4): {0: 100000},
    ("Category Micro Straight", 1, 5): {0: 100000},
    ("Category Micro Straight", 1, 6): {0: 100000},
    ("Category Micro Straight", 1, 7): {0: 100000},
    ("Category Micro Straight", 1, 8): {0: 100000},
    ("Category Micro Straight", 2, 1): {0: 72326, 10: 27674},
    ("Category Micro Straight", 2, 2): {0: 48546, 10: 51454},
    ("Category Micro Straight", 2, 3): {0: 32619, 10: 67381},
    ("Category Micro Straight", 2, 4): {0: 21659, 10: 78341},
    ("Category Micro Straight", 2, 5): {0: 14288, 10: 85712},
    ("Category Micro Straight", 2, 6): {0: 9882, 10: 90118},
    ("Category Micro Straight", 2, 7): {0: 6502, 10: 93498},
    ("Category Micro Straight", 2, 8): {0: 4161, 10: 95839},
    ("Category Micro Straight", 3, 1): {0: 41943, 10: 58057},
    ("Category Micro Straight", 3, 2): {0: 15524, 10: 84476},
    ("Category Micro Straight", 3, 3): {0: 5700, 10: 94300},
    ("Category Micro Straight", 3, 4): {0: 2127, 10: 97873},
    ("Category Micro Straight", 3, 5): {0: 744, 10: 99256},
    ("Category Micro Straight", 3, 6): {0: 260, 10: 99740},
    ("Category Micro Straight", 3, 7): {0: 115, 10: 99885},
    ("Category Micro Straight", 3, 8): {0: 34, 10: 99966},
    ("Category Micro Straight", 4, 1): {0: 22307, 10: 77693},
    ("Category Micro Straight", 4, 2): {0: 4420, 10: 95580},
    ("Category Micro Straight", 4, 3): {0: 806, 10: 99194},
    ("Category Micro Straight", 4, 4): {0: 205, 10: 99795},
    ("Category Micro Straight", 4, 5): {0: 20, 10: 99980},
    ("Category Micro Straight", 4, 6): {0: 5, 10: 99995},
    ("Category Micro Straight", 4, 7): {0: 1, 10: 99999},
    ("Category Micro Straight", 4, 8): {0: 1, 10: 99999},
    ("Category Micro Straight", 5, 1): {0: 11685, 10: 88315},
    ("Category Micro Straight", 5, 2): {0: 1141, 10: 98859},
    ("Category Micro Straight", 5, 3): {0: 119, 10: 99881},
    ("Category Micro Straight", 5, 4): {0: 11, 10: 99989},
    ("Category Micro Straight", 5, 5): {0: 1, 10: 99999},
    ("Category Micro Straight", 5, 6): {10: 100000},
    ("Category Micro Straight", 5, 7): {10: 100000},
    ("Category Micro Straight", 5, 8): {10: 100000},
    ("Category Micro Straight", 6, 1): {0: 5937, 10: 94063},
    ("Category Micro Straight", 6, 2): {0: 307, 10: 99693},
    ("Category Micro Straight", 6, 3): {0: 9, 10: 99991},
    ("Category Micro Straight", 6, 4): {0: 1, 10: 99999},
    ("Category Micro Straight", 6, 5): {10: 100000},
    ("Category Micro Straight", 6, 6): {10: 100000},
    ("Category Micro Straight", 6, 7): {10: 100000},
    ("Category Micro Straight", 6, 8): {10: 100000},
    ("Category Micro Straight", 7, 1): {0: 3072, 10: 96928},
    ("Category Micro Straight", 7, 2): {0: 85, 10: 99915},
    ("Category Micro Straight", 7, 3): {0: 2, 10: 99998},
    ("Category Micro Straight", 7, 4): {10: 100000},
    ("Category Micro Straight", 7, 5): {10: 100000},
    ("Category Micro Straight", 7, 6): {10: 100000},
    ("Category Micro Straight", 7, 7): {10: 100000},
    ("Category Micro Straight", 7, 8): {10: 100000},
    ("Category Micro Straight", 8, 1): {0: 1544, 10: 98456},
    ("Category Micro Straight", 8, 2): {0: 15, 10: 99985},
    ("Category Micro Straight", 8, 3): {10: 100000},
    ("Category Micro Straight", 8, 4): {10: 100000},
    ("Category Micro Straight", 8, 5): {10: 100000},
    ("Category Micro Straight", 8, 6): {10: 100000},
    ("Category Micro Straight", 8, 7): {10: 100000},
    ("Category Micro Straight", 8, 8): {10: 100000},
    ("Category Three Odds", 1, 1): {0: 100000},
    ("Category Three Odds", 1, 2): {0: 100000},
    ("Category Three Odds", 1, 3): {0: 100000},
    ("Category Three Odds", 1, 4): {0: 100000},
    ("Category Three Odds", 1, 5): {0: 100000},
    ("Category Three Odds", 1, 6): {0: 100000},
    ("Category Three Odds", 1, 7): {0: 100000},
    ("Category Three Odds", 1, 8): {0: 100000},
    ("Category Three Odds", 2, 1): {0: 100000},
    ("Category Three Odds", 2, 2): {0: 100000},
    ("Category Three Odds", 2, 3): {0: 100000},
    ("Category Three Odds", 2, 4): {0: 100000},
    ("Category Three Odds", 2, 5): {0: 100000},
    ("Category Three Odds", 2, 6): {0: 100000},
    ("Category Three Odds", 2, 7): {0: 100000},
    ("Category Three Odds", 2, 8): {0: 100000},
    ("Category Three Odds", 3, 1): {0: 87592, 20: 12408},
    ("Category Three Odds", 3, 2): {0: 57855, 20: 42145},
    ("Category Three Odds", 3, 3): {0: 32668, 20: 67332},
    ("Category Three Odds", 3, 4): {0: 17508, 20: 82492},
    ("Category Three Odds", 3, 5): {0: 9156, 20: 90844},
    ("Category Three Odds", 3, 6): {0: 4572, 20: 95428},
    ("Category Three Odds", 3, 7): {0: 2325, 20: 97675},
    ("Category Three Odds", 3, 8): {0: 1116, 20: 98884},
    ("Category Three Odds", 4, 1): {0: 68669, 20: 31331},
    ("Category Three Odds", 4, 2): {0: 26140, 20: 73860},
    ("Category Three Odds", 4, 3): {0: 7837, 20: 92163},
    ("Category Three Odds", 4, 4): {0: 2169, 20: 97831},
    ("Category Three Odds", 4, 5): {0: 516, 20: 99484},
    ("Category Three Odds", 4, 6): {0: 156, 20: 99844},
    ("Category Three Odds", 4, 7): {0: 40, 20: 99960},
    ("Category Three Odds", 4, 8): {0: 12, 20: 99988},
    ("Category Three Odds", 5, 1): {0: 49908, 20: 50092},
    ("Category Three Odds", 5, 2): {0: 10373, 20: 89627},
    ("Category Three Odds", 5, 3): {0: 1640, 20: 98360},
    ("Category Three Odds", 5, 4): {0: 223, 20: 99777},
    ("Category Three Odds", 5, 5): {0: 24, 20: 99976},
    ("Category Three Odds", 5, 6): {0: 3, 20: 99997},
    ("Category Three Odds", 5, 7): {0: 1, 20: 99999},
    ("Category Three Odds", 5, 8): {20: 100000},
    ("Category Three Odds", 6, 1): {0: 34566, 20: 65434},
    ("Category Three Odds", 6, 2): {0: 3766, 20: 96234},
    ("Category Three Odds", 6, 3): {0: 291, 20: 99709},
    ("Category Three Odds", 6, 4): {0: 22, 20: 99978},
    ("Category Three Odds", 6, 5): {20: 100000},
    ("Category Three Odds", 6, 6): {20: 100000},
    ("Category Three Odds", 6, 7): {20: 100000},
    ("Category Three Odds", 6, 8): {20: 100000},
    ("Category Three Odds", 7, 1): {0: 22722, 20: 77278},
    ("Category Three Odds", 7, 2): {0: 1291, 20: 98709},
    ("Category Three Odds", 7, 3): {0: 38, 20: 99962},
    ("Category Three Odds", 7, 4): {0: 2, 20: 99998},
    ("Category Three Odds", 7, 5): {20: 100000},
    ("Category Three Odds", 7, 6): {20: 100000},
    ("Category Three Odds", 7, 7): {20: 100000},
    ("Category Three Odds", 7, 8): {20: 100000},
    ("Category Three Odds", 8, 1): {0: 14556, 20: 85444},
    ("Category Three Odds", 8, 2): {0: 430, 20: 99570},
    ("Category Three Odds", 8, 3): {0: 3, 20: 99997},
    ("Category Three Odds", 8, 4): {20: 100000},
    ("Category Three Odds", 8, 5): {20: 100000},
    ("Category Three Odds", 8, 6): {20: 100000},
    ("Category Three Odds", 8, 7): {20: 100000},
    ("Category Three Odds", 8, 8): {20: 100000},
    ("Category 1-2-1 Consecutive", 1, 1): {0: 100000},
    ("Category 1-2-1 Consecutive", 1, 2): {0: 100000},
    ("Category 1-2-1 Consecutive", 1, 3): {0: 100000},
    ("Category 1-2-1 Consecutive", 1, 4): {0: 100000},
    ("Category 1-2-1 Consecutive", 1, 5): {0: 100000},
    ("Category 1-2-1 Consecutive", 1, 6): {0: 100000},
    ("Category 1-2-1 Consecutive", 1, 7): {0: 100000},
    ("Category 1-2-1 Consecutive", 1, 8): {0: 100000},
    ("Category 1-2-1 Consecutive", 2, 1): {0: 100000},
    ("Category 1-2-1 Consecutive", 2, 2): {0: 100000},
    ("Category 1-2-1 Consecutive", 2, 3): {0: 100000},
    ("Category 1-2-1 Consecutive", 2, 4): {0: 100000},
    ("Category 1-2-1 Consecutive", 2, 5): {0: 100000},
    ("Category 1-2-1 Consecutive", 2, 6): {0: 100000},
    ("Category 1-2-1 Consecutive", 2, 7): {0: 100000},
    ("Category 1-2-1 Consecutive", 2, 8): {0: 100000},
    ("Category 1-2-1 Consecutive", 3, 1): {0: 100000},
    ("Category 1-2-1 Consecutive", 3, 2): {0: 100000},
    ("Category 1-2-1 Consecutive", 3, 3): {0: 100000},
    ("Category 1-2-1 Consecutive", 3, 4): {0: 100000},
    ("Category 1-2-1 Consecutive", 3, 5): {0: 100000},
    ("Category 1-2-1 Consecutive", 3, 6): {0: 100000},
    ("Category 1-2-1 Consecutive", 3, 7): {0: 100000},
    ("Category 1-2-1 Consecutive", 3, 8): {0: 100000},
    ("Category 1-2-1 Consecutive", 4, 1): {0: 96371, 30: 3629},
    ("Category 1-2-1 Consecutive", 4, 2): {0: 86605, 30: 13395},
    ("Category 1-2-1 Consecutive", 4, 3): {0: 75037, 30: 24963},
    ("Category 1-2-1 Consecutive", 4, 4): {0: 63656, 30: 36344},
    ("Category 1-2-1 Consecutive", 4, 5): {0: 53869, 30: 46131},
    ("Category 1-2-1 Consecutive", 4, 6): {0: 45131, 30: 54869},
    ("Category 1-2-1 Consecutive", 4, 7): {0: 37535, 30: 62465},
    ("Category 1-2-1 Consecutive", 4, 8): {0: 31425, 30: 68575},
    ("Category 1-2-1 Consecutive", 5, 1): {0: 86632, 30: 13368},
    ("Category 1-2-1 Consecutive", 5, 2): {0: 62779, 30: 37221},
    ("Category 1-2-1 Consecutive", 5, 3): {0: 46034, 30: 53966},
    ("Category 1-2-1 Consecutive", 5, 4): {0: 34983, 30: 65017},
    ("Category 1-2-1 Consecutive", 5, 5): {0: 28056, 30: 71944},
    ("Category 1-2-1 Consecutive", 5, 6): {0: 23150, 30: 76850},
    ("Category 1-2-1 Consecutive", 5, 7): {0: 19577, 30: 80423},
    ("Category 1-2-1 Consecutive", 5, 8): {0: 17613, 30: 82387},
    ("Category 1-2-1 Consecutive", 6, 1): {0: 71928, 30: 28072},
    ("Category 1-2-1 Consecutive", 6, 2): {0: 40724, 30: 59276},
    ("Category 1-2-1 Consecutive", 6, 3): {0: 26723, 30: 73277},
    ("Category 1-2-1 Consecutive", 6, 4): {0: 19685, 30: 80315},
    ("Category 1-2-1 Consecutive", 6, 5): {0: 15460, 30: 84540},
    ("Category 1-2-1 Consecutive", 6, 6): {0: 12526, 30: 87474},
    ("Category 1-2-1 Consecutive", 6, 7): {0: 10014, 30: 89986},
    ("Category 1-2-1 Consecutive", 6, 8): {0: 8251, 30: 91749},
    ("Category 1-2-1 Consecutive", 7, 1): {0: 55544, 30: 44456},
    ("Category 1-2-1 Consecutive", 7, 2): {0: 24840, 30: 75160},
    ("Category 1-2-1 Consecutive", 7, 3): {0: 15102, 30: 84898},
    ("Category 1-2-1 Consecutive", 7, 4): {0: 10541, 30: 89459},
    ("Category 1-2-1 Consecutive", 7, 5): {0: 7720, 30: 92280},
    ("Category 1-2-1 Consecutive", 7, 6): {0: 5554, 30: 94446},
    ("Category 1-2-1 Consecutive", 7, 7): {0: 4106, 30: 95894},
    ("Category 1-2-1 Consecutive", 7, 8): {0: 3025, 30: 96975},
    ("Category 1-2-1 Consecutive", 8, 1): {0: 40693, 30: 59307},
    ("Category 1-2-1 Consecutive", 8, 2): {0: 14827, 30: 85173},
    ("Category 1-2-1 Consecutive", 8, 3): {0: 8195, 30: 91805},
    ("Category 1-2-1 Consecutive", 8, 4): {0: 5383, 30: 94617},
    ("Category 1-2-1 Consecutive", 8, 5): {0: 3395, 30: 96605},
    ("Category 1-2-1 Consecutive", 8, 6): {0: 2299, 30: 97701},
    ("Category 1-2-1 Consecutive", 8, 7): {0: 1412, 30: 98588},
    ("Category 1-2-1 Consecutive", 8, 8): {0: 872, 30: 99128},
    ("Category Three Distinct Dice", 1, 1): {0: 100000},
    ("Category Three Distinct Dice", 1, 2): {0: 100000},
    ("Category Three Distinct Dice", 1, 3): {0: 100000},
    ("Category Three Distinct Dice", 1, 4): {0: 100000},
    ("Category Three Distinct Dice", 1, 5): {0: 100000},
    ("Category Three Distinct Dice", 1, 6): {0: 100000},
    ("Category Three Distinct Dice", 1, 7): {0: 100000},
    ("Category Three Distinct Dice", 1, 8): {0: 100000},
    ("Category Three Distinct Dice", 2, 1): {0: 100000},
    ("Category Three Distinct Dice", 2, 2): {0: 100000},
    ("Category Three Distinct Dice", 2, 3): {0: 100000},
    ("Category Three Distinct Dice", 2, 4): {0: 100000},
    ("Category Three Distinct Dice", 2, 5): {0: 100000},
    ("Category Three Distinct Dice", 2, 6): {0: 100000},
    ("Category Three Distinct Dice", 2, 7): {0: 100000},
    ("Category Three Distinct Dice", 2, 8): {0: 100000},
    ("Category Three Distinct Dice", 3, 1): {0: 44707, 20: 55293},
    ("Category Three Distinct Dice", 3, 2): {0: 15078, 20: 84922},
    ("Category Three Distinct Dice", 3, 3): {0: 5056, 20: 94944},
    ("Category Three Distinct Dice", 3, 4): {0: 1688, 20: 98312},
    ("Category Three Distinct Dice", 3, 5): {0: 516, 20: 99484},
    ("Category Three Distinct Dice", 3, 6): {0: 182, 20: 99818},
    ("Category Three Distinct Dice", 3, 7): {0: 56, 20: 99944},
    ("Category Three Distinct Dice", 3, 8): {0: 15, 20: 99985},
    ("Category Three Distinct Dice", 4, 1): {0: 16721, 20: 83279},
    ("Category Three Distinct Dice", 4, 2): {0: 1826, 20: 98174},
    ("Category Three Distinct Dice", 4, 3): {0: 203, 20: 99797},
    ("Category Three Distinct Dice", 4, 4): {0: 18, 20: 99982},
    ("Category Three Distinct Dice", 4, 5): {0: 3, 20: 99997},
    ("Category Three Distinct Dice", 4, 6): {20: 100000},
    ("Category Three Distinct Dice", 4, 7): {20: 100000},
    ("Category Three Distinct Dice", 4, 8): {20: 100000},
    ("Category Three Distinct Dice", 5, 1): {0: 5904, 20: 94096},
    ("Category Three Distinct Dice", 5, 2): {0: 236, 20: 99764},
    ("Category Three Distinct Dice", 5, 3): {0: 12, 20: 99988},
    ("Category Three Distinct Dice", 5, 4): {20: 100000},
    ("Category Three Distinct Dice", 5, 5): {20: 100000},
    ("Category Three Distinct Dice", 5, 6): {20: 100000},
    ("Category Three Distinct Dice", 5, 7): {20: 100000},
    ("Category Three Distinct Dice", 5, 8): {20: 100000},
    ("Category Three Distinct Dice", 6, 1): {0: 1992, 20: 98008},
    ("Category Three Distinct Dice", 6, 2): {0: 21, 20: 99979},
    ("Category Three Distinct Dice", 6, 3): {20: 100000},
    ("Category Three Distinct Dice", 6, 4): {20: 100000},
    ("Category Three Distinct Dice", 6, 5): {20: 100000},
    ("Category Three Distinct Dice", 6, 6): {20: 100000},
    ("Category Three Distinct Dice", 6, 7): {20: 100000},
    ("Category Three Distinct Dice", 6, 8): {20: 100000},
    ("Category Three Distinct Dice", 7, 1): {0: 692, 20: 99308},
    ("Category Three Distinct Dice", 7, 2): {0: 4, 20: 99996},
    ("Category Three Distinct Dice", 7, 3): {20: 100000},
    ("Category Three Distinct Dice", 7, 4): {20: 100000},
    ("Category Three Distinct Dice", 7, 5): {20: 100000},
    ("Category Three Distinct Dice", 7, 6): {20: 100000},
    ("Category Three Distinct Dice", 7, 7): {20: 100000},
    ("Category Three Distinct Dice", 7, 8): {20: 100000},
    ("Category Three Distinct Dice", 8, 1): {0: 243, 20: 99757},
    ("Category Three Distinct Dice", 8, 2): {0: 1, 20: 99999},
    ("Category Three Distinct Dice", 8, 3): {20: 100000},
    ("Category Three Distinct Dice", 8, 4): {20: 100000},
    ("Category Three Distinct Dice", 8, 5): {20: 100000},
    ("Category Three Distinct Dice", 8, 6): {20: 100000},
    ("Category Three Distinct Dice", 8, 7): {20: 100000},
    ("Category Three Distinct Dice", 8, 8): {20: 100000},
    ("Category Two Pair", 1, 1): {0: 100000},
    ("Category Two Pair", 1, 2): {0: 100000},
    ("Category Two Pair", 1, 3): {0: 100000},
    ("Category Two Pair", 1, 4): {0: 100000},
    ("Category Two Pair", 1, 5): {0: 100000},
    ("Category Two Pair", 1, 6): {0: 100000},
    ("Category Two Pair", 1, 7): {0: 100000},
    ("Category Two Pair", 1, 8): {0: 100000},
    ("Category Two Pair", 2, 1): {0: 100000},
    ("Category Two Pair", 2, 2): {0: 100000},
    ("Category Two Pair", 2, 3): {0: 100000},
    ("Category Two Pair", 2, 4): {0: 100000},
    ("Category Two Pair", 2, 5): {0: 100000},
    ("Category Two Pair", 2, 6): {0: 100000},
    ("Category Two Pair", 2, 7): {0: 100000},
    ("Category Two Pair", 2, 8): {0: 100000},
    ("Category Two Pair", 3, 1): {0: 100000},
    ("Category Two Pair", 3, 2): {0: 100000},
    ("Category Two Pair", 3, 3): {0: 100000},
    ("Category Two Pair", 3, 4): {0: 100000},
    ("Category Two Pair", 3, 5): {0: 100000},
    ("Category Two Pair", 3, 6): {0: 100000},
    ("Category Two Pair", 3, 7): {0: 100000},
    ("Category Two Pair", 3, 8): {0: 100000},
    ("Category Two Pair", 4, 1): {0: 93065, 30: 6935},
    ("Category Two Pair", 4, 2): {0: 82102, 30: 17898},
    ("Category Two Pair", 4, 3): {0: 71209, 30: 28791},
    ("Category Two Pair", 4, 4): {0: 61609, 30: 38391},
    ("Category Two Pair", 4, 5): {0: 53036, 30: 46964},
    ("Category Two Pair", 4, 6): {0: 45705, 30: 54295},
    ("Category Two Pair", 4, 7): {0: 39398, 30: 60602},
    ("Category Two Pair", 4, 8): {0: 33673, 30: 66327},
    ("Category Two Pair", 5, 1): {0: 72847, 30: 27153},
    ("Category Two Pair", 5, 2): {0: 46759, 30: 53241},
    ("Category Two Pair", 5, 3): {0: 29462, 30: 70538},
    ("Category Two Pair", 5, 4): {0: 18351, 30: 81649},
    ("Category Two Pair", 5, 5): {0: 11793, 30: 88207},
    ("Category Two Pair", 5, 6): {0: 7385, 30: 92615},
    ("Category Two Pair", 5, 7): {0: 4610, 30: 95390},
    ("Category Two Pair", 5, 8): {0: 2938, 30: 97062},
    ("Category Two Pair", 6, 1): {0: 44431, 30: 55569},
    ("Category Two Pair", 6, 2): {0: 17183, 30: 82817},
    ("Category Two Pair", 6, 3): {0: 6759, 30: 93241},
    ("Category Two Pair", 6, 4): {0: 2562, 30: 97438},
    ("Category Two Pair", 6, 5): {0: 948, 30: 99052},
    ("Category Two Pair", 6, 6): {0: 375, 30: 99625},
    ("Category Two Pair", 6, 7): {0: 138, 30: 99862},
    ("Category Two Pair", 6, 8): {0: 57, 30: 99943},
    ("Category Two Pair", 7, 1): {0: 19888, 30: 80112},
    ("Category Two Pair", 7, 2): {0: 3935, 30: 96065},
    ("Category Two Pair", 7, 3): {0: 801, 30: 99199},
    ("Category Two Pair", 7, 4): {0: 175, 30: 99825},
    ("Category Two Pair", 7, 5): {0: 31, 30: 99969},
    ("Category Two Pair", 7, 6): {0: 7, 30: 99993},
    ("Category Two Pair", 7, 7): {0: 2, 30: 99998},
    ("Category Two Pair", 7, 8): {30: 100000},
    ("Category Two Pair", 8, 1): {0: 6791, 30: 93209},
    ("Category Two Pair", 8, 2): {0: 588, 30: 99412},
    ("Category Two Pair", 8, 3): {0: 61, 30: 99939},
    ("Category Two Pair", 8, 4): {0: 6, 30: 99994},
    ("Category Two Pair", 8, 5): {30: 100000},
    ("Category Two Pair", 8, 6): {30: 100000},
    ("Category Two Pair", 8, 7): {30: 100000},
    ("Category Two Pair", 8, 8): {30: 100000},
    ("Category 2-1-2 Consecutive", 1, 1): {0: 100000},
    ("Category 2-1-2 Consecutive", 1, 2): {0: 100000},
    ("Category 2-1-2 Consecutive", 1, 3): {0: 100000},
    ("Category 2-1-2 Consecutive", 1, 4): {0: 100000},
    ("Category 2-1-2 Consecutive", 1, 5): {0: 100000},
    ("Category 2-1-2 Consecutive", 1, 6): {0: 100000},
    ("Category 2-1-2 Consecutive", 1, 7): {0: 100000},
    ("Category 2-1-2 Consecutive", 1, 8): {0: 100000},
    ("Category 2-1-2 Consecutive", 2, 1): {0: 100000},
    ("Category 2-1-2 Consecutive", 2, 2): {0: 100000},
    ("Category 2-1-2 Consecutive", 2, 3): {0: 100000},
    ("Category 2-1-2 Consecutive", 2, 4): {0: 100000},
    ("Category 2-1-2 Consecutive", 2, 5): {0: 100000},
    ("Category 2-1-2 Consecutive", 2, 6): {0: 100000},
    ("Category 2-1-2 Consecutive", 2, 7): {0: 100000},
    ("Category 2-1-2 Consecutive", 2, 8): {0: 100000},
    ("Category 2-1-2 Consecutive", 3, 1): {0: 100000},
    ("Category 2-1-2 Consecutive", 3, 2): {0: 100000},
    ("Category 2-1-2 Consecutive", 3, 3): {0: 100000},
    ("Category 2-1-2 Consecutive", 3, 4): {0: 100000},
    ("Category 2-1-2 Consecutive", 3, 5): {0: 100000},
    ("Category 2-1-2 Consecutive", 3, 6): {0: 100000},
    ("Category 2-1-2 Consecutive", 3, 7): {0: 100000},
    ("Category 2-1-2 Consecutive", 3, 8): {0: 100000},
    ("Category 2-1-2 Consecutive", 4, 1): {0: 100000},
    ("Category 2-1-2 Consecutive", 4, 2): {0: 100000},
    ("Category 2-1-2 Consecutive", 4, 3): {0: 100000},
    ("Category 2-1-2 Consecutive", 4, 4): {0: 100000},
    ("Category 2-1-2 Consecutive", 4, 5): {0: 100000},
    ("Category 2-1-2 Consecutive", 4, 6): {0: 100000},
    ("Category 2-1-2 Consecutive", 4, 7): {0: 100000},
    ("Category 2-1-2 Consecutive", 4, 8): {0: 100000},
    ("Category 2-1-2 Consecutive", 5, 1): {0: 98403, 40: 1597},
    ("Category 2-1-2 Consecutive", 5, 2): {0: 90651, 40: 9349},
    ("Category 2-1-2 Consecutive", 5, 3): {0: 80100, 40: 19900},
    ("Category 2-1-2 Consecutive", 5, 4): {0: 69131, 40: 30869},
    ("Category 2-1-2 Consecutive", 5, 5): {0: 58252, 40: 41748},
    ("Category 2-1-2 Consecutive", 5, 6): {0: 49405, 40: 50595},
    ("Category 2-1-2 Consecutive", 5, 7): {0: 41585, 40: 58415},
    ("Category 2-1-2 Consecutive", 5, 8): {0: 34952, 40: 65048},
    ("Category 2-1-2 Consecutive", 6, 1): {0: 93465, 40: 6535},
    ("Category 2-1-2 Consecutive", 6, 2): {0: 73416, 40: 26584},
    ("Category 2-1-2 Consecutive", 6, 3): {0: 54041, 40: 45959},
    ("Category 2-1-2 Consecutive", 6, 4): {0: 38535, 40: 61465},
    ("Category 2-1-2 Consecutive", 6, 5): {0: 27366, 40: 72634},
    ("Category 2-1-2 Consecutive", 6, 6): {0: 18924, 40: 81076},
    ("Category 2-1-2 Consecutive", 6, 7): {0: 13387, 40: 86613},
    ("Category 2-1-2 Consecutive", 6, 8): {0: 9134, 40: 90866},
    ("Category 2-1-2 Consecutive", 7, 1): {0: 84168, 40: 15832},
    ("Category 2-1-2 Consecutive", 7, 2): {0: 52659, 40: 47341},
    ("Category 2-1-2 Consecutive", 7, 3): {0: 30435, 40: 69565},
    ("Category 2-1-2 Consecutive", 7, 4): {0: 17477, 40: 82523},
    ("Category 2-1-2 Consecutive", 7, 5): {0: 9782, 40: 90218},
    ("Category 2-1-2 Consecutive", 7, 6): {0: 5316, 40: 94684},
    ("Category 2-1-2 Consecutive", 7, 7): {0: 2995, 40: 97005},
    ("Category 2-1-2 Consecutive", 7, 8): {0: 1689, 40: 98311},
    ("Category 2-1-2 Consecutive", 8, 1): {0: 71089, 40: 28911},
    ("Category 2-1-2 Consecutive", 8, 2): {0: 33784, 40: 66216},
    ("Category 2-1-2 Consecutive", 8, 3): {0: 14820, 40: 85180},
    ("Category 2-1-2 Consecutive", 8, 4): {0: 6265, 40: 93735},
    ("Category 2-1-2 Consecutive", 8, 5): {0: 2600, 40: 97400},
    ("Category 2-1-2 Consecutive", 8, 6): {0: 1155, 40: 98845},
    ("Category 2-1-2 Consecutive", 8, 7): {0: 487, 40: 99513},
    ("Category 2-1-2 Consecutive", 8, 8): {0: 190, 40: 99810},
    ("Category Five Distinct Dice", 1, 1): {0: 100000},
    ("Category Five Distinct Dice", 1, 2): {0: 100000},
    ("Category Five Distinct Dice", 1, 3): {0: 100000},
    ("Category Five Distinct Dice", 1, 4): {0: 100000},
    ("Category Five Distinct Dice", 1, 5): {0: 100000},
    ("Category Five Distinct Dice", 1, 6): {0: 100000},
    ("Category Five Distinct Dice", 1, 7): {0: 100000},
    ("Category Five Distinct Dice", 1, 8): {0: 100000},
    ("Category Five Distinct Dice", 2, 1): {0: 100000},
    ("Category Five Distinct Dice", 2, 2): {0: 100000},
    ("Category Five Distinct Dice", 2, 3): {0: 100000},
    ("Category Five Distinct Dice", 2, 4): {0: 100000},
    ("Category Five Distinct Dice", 2, 5): {0: 100000},
    ("Category Five Distinct Dice", 2, 6): {0: 100000},
    ("Category Five Distinct Dice", 2, 7): {0: 100000},
    ("Category Five Distinct Dice", 2, 8): {0: 100000},
    ("Category Five Distinct Dice", 3, 1): {0: 100000},
    ("Category Five Distinct Dice", 3, 2): {0: 100000},
    ("Category Five Distinct Dice", 3, 3): {0: 100000},
    ("Category Five Distinct Dice", 3, 4): {0: 100000},
    ("Category Five Distinct Dice", 3, 5): {0: 100000},
    ("Category Five Distinct Dice", 3, 6): {0: 100000},
    ("Category Five Distinct Dice", 3, 7): {0: 100000},
    ("Category Five Distinct Dice", 3, 8): {0: 100000},
    ("Category Five Distinct Dice", 4, 1): {0: 100000},
    ("Category Five Distinct Dice", 4, 2): {0: 100000},
    ("Category Five Distinct Dice", 4, 3): {0: 100000},
    ("Category Five Distinct Dice", 4, 4): {0: 100000},
    ("Category Five Distinct Dice", 4, 5): {0: 100000},
    ("Category Five Distinct Dice", 4, 6): {0: 100000},
    ("Category Five Distinct Dice", 4, 7): {0: 100000},
    ("Category Five Distinct Dice", 4, 8): {0: 100000},
    ("Category Five Distinct Dice", 5, 1): {0: 90907, 25: 9093},
    ("Category Five Distinct Dice", 5, 2): {0: 68020, 25: 31980},
    ("Category Five Distinct Dice", 5, 3): {0: 47692, 25: 52308},
    ("Category Five Distinct Dice", 5, 4): {0: 32383, 25: 67617},
    ("Category Five Distinct Dice", 5, 5): {0: 21631, 25: 78369},
    ("Category Five Distinct Dice", 5, 6): {0: 14366, 25: 85634},
    ("Category Five Distinct Dice", 5, 7): {0: 9568, 25: 90432},
    ("Category Five Distinct Dice", 5, 8): {0: 6360, 25: 93640},
    ("Category Five Distinct Dice", 6, 1): {0: 75051, 25: 24949},
    ("Category Five Distinct Dice", 6, 2): {0: 38409, 25: 61591},
    ("Category Five Distinct Dice", 6, 3): {0: 17505, 25: 82495},
    ("Category Five Distinct Dice", 6, 4): {0: 7862, 25: 92138},
    ("Category Five Distinct Dice", 6, 5): {0: 3538, 25: 96462},
    ("Category Five Distinct Dice", 6, 6): {0: 1645, 25: 98355},
    ("Category Five Distinct Dice", 6, 7): {0: 714, 25: 99286},
    ("Category Five Distinct Dice", 6, 8): {0: 341, 25: 99659},
    ("Category Five Distinct Dice", 7, 1): {0: 58588, 25: 41412},
    ("Category Five Distinct Dice", 7, 2): {0: 19487, 25: 80513},
    ("Category Five Distinct Dice", 7, 3): {0: 6043, 25: 93957},
    ("Category Five Distinct Dice", 7, 4): {0: 1799, 25: 98201},
    ("Category Five Distinct Dice", 7, 5): {0: 544, 25: 99456},
    ("Category Five Distinct Dice", 7, 6): {0: 169, 25: 99831},
    ("Category Five Distinct Dice", 7, 7): {0: 59, 25: 99941},
    ("Category Five Distinct Dice", 7, 8): {0: 11, 25: 99989},
    ("Category Five Distinct Dice", 8, 1): {0: 43586, 25: 56414},
    ("Category Five Distinct Dice", 8, 2): {0: 9615, 25: 90385},
    ("Category Five Distinct Dice", 8, 3): {0: 1944, 25: 98056},
    ("Category Five Distinct Dice", 8, 4): {0: 383, 25: 99617},
    ("Category Five Distinct Dice", 8, 5): {0: 77, 25: 99923},
    ("Category Five Distinct Dice", 8, 6): {0: 18, 25: 99982},
    ("Category Five Distinct Dice", 8, 7): {0: 3, 25: 99997},
    ("Category Five Distinct Dice", 8, 8): {0: 2, 25: 99998},
    ("Category 4&5 Full House", 1, 1): {0: 100000},
    ("Category 4&5 Full House", 1, 2): {0: 100000},
    ("Category 4&5 Full House", 1, 3): {0: 100000},
    ("Category 4&5 Full House", 1, 4): {0: 100000},
    ("Category 4&5 Full House", 1, 5): {0: 100000},
    ("Category 4&5 Full House", 1, 6): {0: 100000},
    ("Category 4&5 Full House", 1, 7): {0: 100000},
    ("Category 4&5 Full House", 1, 8): {0: 100000},
    ("Category 4&5 Full House", 2, 1): {0: 100000},
    ("Category 4&5 Full House", 2, 2): {0: 100000},
    ("Category 4&5 Full House", 2, 3): {0: 100000},
    ("Category 4&5 Full House", 2, 4): {0: 100000},
    ("Category 4&5 Full House", 2, 5): {0: 100000},
    ("Category 4&5 Full House", 2, 6): {0: 100000},
    ("Category 4&5 Full House", 2, 7): {0: 100000},
    ("Category 4&5 Full House", 2, 8): {0: 100000},
    ("Category 4&5 Full House", 3, 1): {0: 100000},
    ("Category 4&5 Full House", 3, 2): {0: 100000},
    ("Category 4&5 Full House", 3, 3): {0: 100000},
    ("Category 4&5 Full House", 3, 4): {0: 100000},
    ("Category 4&5 Full House", 3, 5): {0: 100000},
    ("Category 4&5 Full House", 3, 6): {0: 100000},
    ("Category 4&5 Full House", 3, 7): {0: 100000},
    ("Category 4&5 Full House", 3, 8): {0: 100000},
    ("Category 4&5 Full House", 4, 1): {0: 100000},
    ("Category 4&5 Full House", 4, 2): {0: 100000},
    ("Category 4&5 Full House", 4, 3): {0: 100000},
    ("Category 4&5 Full House", 4, 4): {0: 100000},
    ("Category 4&5 Full House", 4, 5): {0: 100000},
    ("Category 4&5 Full House", 4, 6): {0: 100000},
    ("Category 4&5 Full House", 4, 7): {0: 100000},
    ("Category 4&5 Full House", 4, 8): {0: 100000},
    ("Category 4&5 Full House", 5, 1): {0: 99724, 50: 276},
    ("Category 4&5 Full House", 5, 2): {0: 96607, 50: 3393},
    ("Category 4&5 Full House", 5, 3): {0: 88788, 50: 11212},
    ("Category 4&5 Full House", 5, 4): {0: 77799, 50: 22201},
    ("Category 4&5 Full House", 5, 5): {0: 65797, 50: 34203},
    ("Category 4&5 Full House", 5, 6): {0: 54548, 50: 45452},
    ("Category 4&5 Full House", 5, 7): {0: 44898, 50: 55102},
    ("Category 4&5 Full House", 5, 8): {0: 36881, 50: 63119},
    ("Category 4&5 Full House", 6, 1): {0: 98841, 50: 1159},
    ("Category 4&5 Full House", 6, 2): {0: 88680, 50: 11320},
    ("Category 4&5 Full House", 6, 3): {0: 70215, 50: 29785},
    ("Category 4&5 Full House", 6, 4): {0: 50801, 50: 49199},
    ("Category 4&5 Full House", 6, 5): {0: 35756, 50: 64244},
    ("Category 4&5 Full House", 6, 6): {0: 24698, 50: 75302},
    ("Category 4&5 Full House", 6, 7): {0: 17145, 50: 82855},
    ("Category 4&5 Full House", 6, 8): {0: 11846, 50: 88154},
    ("Category 4&5 Full House", 7, 1): {0: 97090, 50: 2910},
    ("Category 4&5 Full House", 7, 2): {0: 77440, 50: 22560},
    ("Category 4&5 Full House", 7, 3): {0: 51372, 50: 48628},
    ("Category 4&5 Full House", 7, 4): {0: 30566, 50: 69434},
    ("Category 4&5 Full House", 7, 5): {0: 17866, 50: 82134},
    ("Category 4&5 Full House", 7, 6): {0: 10521, 50: 89479},
    ("Category 4&5 Full House", 7, 7): {0: 6204, 50: 93796},
    ("Category 4&5 Full House", 7, 8): {0: 3670, 50: 96330},
    ("Category 4&5 Full House", 8, 1): {0: 94172, 50: 5828},
    ("Category 4&5 Full House", 8, 2): {0: 64693, 50: 35307},
    ("Category 4&5 Full House", 8, 3): {0: 35293, 50: 64707},
    ("Category 4&5 Full House", 8, 4): {0: 17749, 50: 82251},
    ("Category 4&5 Full House", 8, 5): {0: 8740, 50: 91260},
    ("Category 4&5 Full House", 8, 6): {0: 4550, 50: 95450},
    ("Category 4&5 Full House", 8, 7): {0: 2218, 50: 97782},
    ("Category 4&5 Full House", 8, 8): {0: 1084, 50: 98916},
}