From 577fb744f6c8445b3f76bd33a7647a4811a7f015 Mon Sep 17 00:00:00 2001 From: spinerak Date: Sat, 6 Jul 2024 21:18:59 +0200 Subject: [PATCH] Multiple smaller code improvements - changed names in YachtWeights so we don't need to translate them in Rules anymore - we now remember which categories are present in the game, and also put this in slotdata. This we do because only one of two categories is present in a game. If for some reason both are present (plando/getitem/startinventory), we now know which category to ignore - --- worlds/yachtdice/Rules.py | 64 +- worlds/yachtdice/YachtWeights.py | 4546 +----------------------------- worlds/yachtdice/__init__.py | 15 +- 3 files changed, 24 insertions(+), 4601 deletions(-) diff --git a/worlds/yachtdice/Rules.py b/worlds/yachtdice/Rules.py index 9aed9335f7..418e5c3749 100644 --- a/worlds/yachtdice/Rules.py +++ b/worlds/yachtdice/Rules.py @@ -16,43 +16,6 @@ from .YachtWeights import yacht_weights # We then pick a correct percentile to reflect the correct score that should be in logic. # The score is logic is *much* lower than the actual maximum reachable score. -# List of categories, and the name of the logic class associated with it -category_mappings = { - "Category Ones": "Ones", - "Category Twos": "Twos", - "Category Threes": "Threes", - "Category Fours": "Fours", - "Category Fives": "Fives", - "Category Sixes": "Sixes", - "Category Choice": "Choice", - "Category Inverse Choice": "Choice", - "Category Pair": "Pair", - "Category Three of a Kind": "ThreeOfAKind", - "Category Four of a Kind": "FourOfAKind", - "Category Tiny Straight": "TinyStraight", - "Category Small Straight": "SmallStraight", - "Category Large Straight": "LargeStraight", - "Category Full House": "FullHouse", - "Category Yacht": "Yacht", - "Category Distincts": "Distincts", - "Category Two times Ones": "Twos", # same weights as twos category - "Category Half of Sixes": "Threes", # same weights as threes category - "Category Twos and Threes": "TwosAndThrees", - "Category Sum of Odds": "SumOfOdds", - "Category Sum of Evens": "SumOfEvens", - "Category Double Threes and Fours": "DoubleThreesAndFours", - "Category Quadruple Ones and Twos": "QuadrupleOnesAndTwos", - "Category Micro Straight": "MicroStraight", - "Category Three Odds": "ThreeOdds", - "Category 1-2-1 Consecutive": "OneTwoOneConsecutive", - "Category Three Distinct Dice": "ThreeDistinctDice", - "Category Two Pair": "TwoPair", - "Category 2-1-2 Consecutive": "TwoOneTwoConsecutive", - "Category Five Distinct Dice": "FiveDistinctDice", - "Category 4&5 Full House": "FourAndFiveFullHouse", -} - - class Category: def __init__(self, name, quantity=1): self.name = name @@ -60,7 +23,7 @@ class Category: # return mean score of a category def mean_score(self, num_dice, num_rolls): - if num_dice == 0 or num_rolls == 0: + if num_dice <= 0 or num_rolls <= 0: return 0 mean_score = 0 for key, value in yacht_weights[self.name, min(8, num_dice), min(8, num_rolls)].items(): @@ -77,7 +40,7 @@ class ListState: return self.item_counts[item] -def extract_progression(state, player, frags_per_dice, frags_per_roll): +def extract_progression(state, player, frags_per_dice, frags_per_roll, allowed_categories): """ method to obtain a list of what items the player has. this includes categories, dice, rolls and score multiplier etc. @@ -92,8 +55,8 @@ def extract_progression(state, player, frags_per_dice, frags_per_roll): number_of_step_mults = state.count("Step Score Multiplier", player) categories = [ - Category(category_value, state.count(category_name, player)) - for category_name, category_value in category_mappings.items() + Category(category_name, state.count(category_name, player)) + for category_name in allowed_categories if state.count(category_name, player) # want all categories that have count >= 1 ] @@ -133,10 +96,7 @@ def dice_simulation_strings(categories, num_dice, num_rolls, fixed_mult, step_mu if player not in yachtdice_cache: yachtdice_cache[player] = {} - # if already computed, return the result if tup in yachtdice_cache[player]: - # index = list(yachtdice_cache[player].keys()).index(tup) # Get the index of tup in the keys list - # print(f"Using cache {player} {index} / {len(yachtdice_cache[player])}") return yachtdice_cache[player][tup] # sort categories because for the step multiplier, you will want low-scoring categories first @@ -193,7 +153,7 @@ def dice_simulation_strings(categories, num_dice, num_rolls, fixed_mult, step_mu # calculate total distribution total_dist = {0: 1} for j, category in enumerate(categories): - if num_dice == 0 or num_rolls == 0: + if num_dice <= 0 or num_rolls <= 0: dist = {0: 100000} else: dist = yacht_weights[category.name, min(8, num_dice), min(8, num_rolls)].copy() @@ -224,20 +184,20 @@ def dice_simulation_strings(categories, num_dice, num_rolls, fixed_mult, step_mu return yachtdice_cache[player][tup] -def dice_simulation_fill_pool(state, frags_per_dice, frags_per_roll, difficulty, player): +def dice_simulation_fill_pool(state, frags_per_dice, frags_per_roll, allowed_categories, difficulty, player): """ Returns the feasible score that one can reach with the current state, options and difficulty. This function is called with state being a list, during filling of item pool. """ categories, num_dice, num_rolls, fixed_mult, step_mult, expoints = extract_progression( - state, "state_is_a_list", frags_per_dice, frags_per_roll + state, "state_is_a_list", frags_per_dice, frags_per_roll, allowed_categories ) return ( dice_simulation_strings(categories, num_dice, num_rolls, fixed_mult, step_mult, difficulty, player) + expoints ) -def dice_simulation_state_change(state, player, frags_per_dice, frags_per_roll, difficulty): +def dice_simulation_state_change(state, player, frags_per_dice, frags_per_roll, allowed_categories, difficulty): """ Returns the feasible score that one can reach with the current state, options and difficulty. This function is called with state being a AP state object, while doing access rules. @@ -246,7 +206,7 @@ def dice_simulation_state_change(state, player, frags_per_dice, frags_per_roll, if state.prog_items[player]["state_is_fresh"] == 0: state.prog_items[player]["state_is_fresh"] = 1 categories, num_dice, num_rolls, fixed_mult, step_mult, expoints = extract_progression( - state, player, frags_per_dice, frags_per_roll + state, player, frags_per_dice, frags_per_roll, allowed_categories ) state.prog_items[player]["maximum_achievable_score"] = ( dice_simulation_strings(categories, num_dice, num_rolls, fixed_mult, step_mult, difficulty, player) @@ -256,16 +216,16 @@ def dice_simulation_state_change(state, player, frags_per_dice, frags_per_roll, return state.prog_items[player]["maximum_achievable_score"] -def set_yacht_rules(world: MultiWorld, player: int, frags_per_dice, frags_per_roll, difficulty): +def set_yacht_rules(world: MultiWorld, player: int, frags_per_dice, frags_per_roll, allowed_categories, difficulty): """ - Sets rules on entrances and advancements that are always applied + Sets rules on reaching scores """ for location in world.get_locations(player): set_rule( location, lambda state, curscore=location.yacht_dice_score, player=player: dice_simulation_state_change( - state, player, frags_per_dice, frags_per_roll, difficulty + state, player, frags_per_dice, frags_per_roll, allowed_categories, difficulty ) >= curscore, ) diff --git a/worlds/yachtdice/YachtWeights.py b/worlds/yachtdice/YachtWeights.py index 0c5d7d9dfb..a54e824505 100644 --- a/worlds/yachtdice/YachtWeights.py +++ b/worlds/yachtdice/YachtWeights.py @@ -2,4548 +2,8 @@ # 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: ("Choice", 2, 2): +# 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 "Choice", with 2 dice and 2 rolls. +# 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 = { - ("Ones", 0, 0): {0: 100000}, - ("Ones", 0, 1): {0: 100000}, - ("Ones", 0, 2): {0: 100000}, - ("Ones", 0, 3): {0: 100000}, - ("Ones", 0, 4): {0: 100000}, - ("Ones", 0, 5): {0: 100000}, - ("Ones", 0, 6): {0: 100000}, - ("Ones", 0, 7): {0: 100000}, - ("Ones", 0, 8): {0: 100000}, - ("Ones", 1, 0): {0: 100000}, - ("Ones", 1, 1): {0: 83416, 1: 16584}, - ("Ones", 1, 2): {0: 69346, 1: 30654}, - ("Ones", 1, 3): {0: 57756, 1: 42244}, - ("Ones", 1, 4): {0: 48709, 1: 51291}, - ("Ones", 1, 5): {0: 40214, 1: 59786}, - ("Ones", 1, 6): {0: 33491, 1: 66509}, - ("Ones", 1, 7): {0: 27838, 1: 72162}, - ("Ones", 1, 8): {0: 23094, 1: 76906}, - ("Ones", 2, 0): {0: 100000}, - ("Ones", 2, 1): {0: 69715, 1: 30285}, - ("Ones", 2, 2): {0: 48066, 1: 42669, 2: 9265}, - ("Ones", 2, 3): {0: 33544, 1: 48585, 2: 17871}, - ("Ones", 2, 4): {0: 23342, 1: 50092, 2: 26566}, - ("Ones", 2, 5): {0: 16036, 1: 48250, 2: 35714}, - ("Ones", 2, 6): {0: 11355, 1: 44545, 2: 44100}, - ("Ones", 2, 7): {0: 7812, 1: 40248, 2: 51940}, - ("Ones", 2, 8): {0: 5395, 1: 35484, 2: 59121}, - ("Ones", 3, 0): {0: 100000}, - ("Ones", 3, 1): {0: 57462, 1: 35151, 2: 7387}, - ("Ones", 3, 2): {0: 33327, 1: 44253, 2: 22420}, - ("Ones", 3, 3): {0: 19432, 1: 42237, 2: 30821, 3: 7510}, - ("Ones", 3, 4): {0: 11191, 1: 36208, 2: 38606, 3: 13995}, - ("Ones", 3, 5): {0: 6536, 1: 28891, 2: 43130, 3: 21443}, - ("Ones", 3, 6): {0: 3697, 1: 22501, 2: 44196, 3: 29606}, - ("Ones", 3, 7): {0: 2134, 1: 16717, 2: 43782, 3: 37367}, - ("Ones", 3, 8): {0: 1280, 1: 12567, 2: 40951, 3: 45202}, - ("Ones", 4, 0): {0: 100000}, - ("Ones", 4, 1): {0: 48178, 1: 38635, 2: 13187}, - ("Ones", 4, 2): {0: 23349, 1: 40775, 2: 26967, 3: 8909}, - ("Ones", 4, 3): {0: 11366, 1: 32547, 2: 35556, 3: 20531}, - ("Ones", 4, 4): {0: 5331, 1: 23241, 2: 37271, 3: 26943, 4: 7214}, - ("Ones", 4, 5): {0: 2640, 1: 15336, 2: 34536, 3: 34496, 4: 12992}, - ("Ones", 4, 6): {0: 1253, 1: 10073, 2: 29743, 3: 39298, 4: 19633}, - ("Ones", 4, 7): {0: 6915, 2: 24313, 3: 41680, 4: 27092}, - ("Ones", 4, 8): {0: 4228, 2: 19045, 3: 42267, 4: 34460}, - ("Ones", 5, 0): {0: 100000}, - ("Ones", 5, 1): {0: 40042, 1: 40202, 2: 19756}, - ("Ones", 5, 2): {0: 16212, 1: 35432, 2: 31231, 3: 17125}, - ("Ones", 5, 3): {0: 6556, 1: 23548, 2: 34509, 3: 24952, 4: 10435}, - ("Ones", 5, 4): {0: 2552, 1: 14157, 2: 30176, 3: 32048, 4: 21067}, - ("Ones", 5, 5): {0: 1079, 1: 7704, 2: 23245, 3: 34614, 4: 25625, 5: 7733}, - ("Ones", 5, 6): {0: 4513, 2: 16702, 3: 32901, 4: 32816, 5: 13068}, - ("Ones", 5, 7): {0: 2295, 2: 11497, 3: 28973, 4: 37869, 5: 19366}, - ("Ones", 5, 8): {0: 1167, 2: 7382, 3: 24639, 4: 40166, 5: 26646}, - ("Ones", 6, 0): {0: 100000}, - ("Ones", 6, 1): {0: 33501, 1: 40042, 2: 26457}, - ("Ones", 6, 2): {0: 11326, 1: 29379, 2: 32368, 3: 19350, 4: 7577}, - ("Ones", 6, 3): {0: 3764, 1: 16463, 2: 30197, 3: 28928, 4: 20648}, - ("Ones", 6, 4): {0: 1231, 1: 8093, 2: 21790, 3: 31038, 4: 25136, 5: 12712}, - ("Ones", 6, 5): {0: 4208, 2: 14029, 3: 27868, 4: 30878, 5: 23017}, - ("Ones", 6, 6): {0: 1850, 2: 8389, 3: 22007, 4: 33022, 5: 26133, 6: 8599}, - ("Ones", 6, 7): {0: 5503, 3: 16397, 4: 31702, 5: 32432, 6: 13966}, - ("Ones", 6, 8): {0: 2896, 3: 11500, 4: 28116, 5: 37005, 6: 20483}, - ("Ones", 7, 0): {0: 100000}, - ("Ones", 7, 1): {0: 27838, 1: 39224, 2: 23331, 3: 9607}, - ("Ones", 7, 2): {0: 7796, 1: 23850, 2: 31678, 3: 23224, 4: 13452}, - ("Ones", 7, 3): {0: 2247, 1: 11142, 2: 24317, 3: 29131, 4: 21297, 5: 11866}, - ("Ones", 7, 4): {0: 5252, 2: 14787, 3: 26420, 4: 28065, 5: 17986, 6: 7490}, - ("Ones", 7, 5): {0: 1947, 2: 7907, 3: 19667, 4: 28867, 5: 26190, 6: 15422}, - ("Ones", 7, 6): {0: 4625, 3: 12915, 4: 25653, 5: 30596, 6: 26211}, - ("Ones", 7, 7): {0: 2032, 3: 7943, 4: 20364, 5: 32077, 6: 27540, 7: 10044}, - ("Ones", 7, 8): {0: 5519, 4: 15425, 5: 30293, 6: 33357, 7: 15406}, - ("Ones", 8, 0): {0: 100000}, - ("Ones", 8, 1): {0: 23156, 1: 37295, 2: 26136, 3: 13413}, - ("Ones", 8, 2): {0: 5472, 1: 19058, 2: 29314, 3: 25847, 4: 20309}, - ("Ones", 8, 3): {0: 1209, 1: 7452, 2: 18864, 3: 27032, 4: 24664, 5: 20779}, - ("Ones", 8, 4): {0: 2807, 2: 9318, 3: 20389, 4: 27157, 5: 23430, 6: 16899}, - ("Ones", 8, 5): {0: 5173, 3: 12395, 4: 23638, 5: 27792, 6: 20582, 7: 10420}, - ("Ones", 8, 6): {0: 1971, 3: 6901, 4: 17025, 5: 27508, 6: 27112, 7: 19483}, - ("Ones", 8, 7): {0: 4236, 4: 11343, 5: 23980, 6: 30438, 7: 22673, 8: 7330}, - ("Ones", 8, 8): {0: 2078, 4: 7029, 5: 18895, 6: 30830, 7: 29143, 8: 12025}, - ("Twos", 0, 0): {0: 100000}, - ("Twos", 0, 1): {0: 100000}, - ("Twos", 0, 2): {0: 100000}, - ("Twos", 0, 3): {0: 100000}, - ("Twos", 0, 4): {0: 100000}, - ("Twos", 0, 5): {0: 100000}, - ("Twos", 0, 6): {0: 100000}, - ("Twos", 0, 7): {0: 100000}, - ("Twos", 0, 8): {0: 100000}, - ("Twos", 1, 0): {0: 100000}, - ("Twos", 1, 1): {0: 83475, 2: 16525}, - ("Twos", 1, 2): {0: 69690, 2: 30310}, - ("Twos", 1, 3): {0: 57818, 2: 42182}, - ("Twos", 1, 4): {0: 48418, 2: 51582}, - ("Twos", 1, 5): {0: 40301, 2: 59699}, - ("Twos", 1, 6): {0: 33558, 2: 66442}, - ("Twos", 1, 7): {0: 28182, 2: 71818}, - ("Twos", 1, 8): {0: 23406, 2: 76594}, - ("Twos", 2, 0): {0: 100000}, - ("Twos", 2, 1): {0: 69724, 2: 30276}, - ("Twos", 2, 2): {0: 48238, 2: 42479, 4: 9283}, - ("Twos", 2, 3): {0: 33290, 2: 48819, 4: 17891}, - ("Twos", 2, 4): {0: 23136, 2: 49957, 4: 26907}, - ("Twos", 2, 5): {0: 16146, 2: 48200, 4: 35654}, - ("Twos", 2, 6): {0: 11083, 2: 44497, 4: 44420}, - ("Twos", 2, 7): {0: 7662, 2: 40343, 4: 51995}, - ("Twos", 2, 8): {0: 5354, 2: 35526, 4: 59120}, - ("Twos", 3, 0): {0: 100000}, - ("Twos", 3, 1): {0: 58021, 2: 34522, 4: 7457}, - ("Twos", 3, 2): {0: 33548, 2: 44261, 4: 22191}, - ("Twos", 3, 3): {0: 19375, 2: 42372, 4: 30748, 6: 7505}, - ("Twos", 3, 4): {0: 10998, 2: 36435, 4: 38569, 6: 13998}, - ("Twos", 3, 5): {0: 6519, 2: 28838, 4: 43283, 6: 21360}, - ("Twos", 3, 6): {0: 3619, 2: 22498, 4: 44233, 6: 29650}, - ("Twos", 3, 7): {0: 2195, 2: 16979, 4: 43684, 6: 37142}, - ("Twos", 3, 8): {0: 1255, 2: 12420, 4: 40920, 6: 45405}, - ("Twos", 4, 0): {0: 100000}, - ("Twos", 4, 1): {0: 48235, 2: 38602, 4: 13163}, - ("Twos", 4, 2): {0: 23289, 2: 40678, 4: 27102, 6: 8931}, - ("Twos", 4, 3): {0: 11177, 2: 32677, 4: 35702, 6: 20444}, - ("Twos", 4, 4): {0: 5499, 2: 23225, 4: 37240, 6: 26867, 8: 7169}, - ("Twos", 4, 5): {0: 2574, 2: 15782, 4: 34605, 6: 34268, 8: 12771}, - ("Twos", 4, 6): {0: 1259, 2: 9910, 4: 29706, 6: 39523, 8: 19602}, - ("Twos", 4, 7): {0: 622, 2: 6323, 4: 24103, 6: 41894, 8: 27058}, - ("Twos", 4, 8): {0: 278, 2: 3813, 4: 18855, 6: 42309, 8: 34745}, - ("Twos", 5, 0): {0: 100000}, - ("Twos", 5, 1): {0: 40028, 2: 40241, 4: 16003, 6: 3728}, - ("Twos", 5, 2): {0: 16009, 2: 35901, 4: 31024, 6: 13797, 8: 3269}, - ("Twos", 5, 3): {0: 6489, 2: 23477, 4: 34349, 6: 25270, 8: 10415}, - ("Twos", 5, 4): {0: 2658, 2: 14032, 4: 30199, 6: 32214, 8: 17149, 10: 3748}, - ("Twos", 5, 5): {0: 1032, 2: 7984, 4: 23643, 6: 33993, 8: 25853, 10: 7495}, - ("Twos", 5, 6): {0: 450, 2: 4152, 4: 16541, 6: 32774, 8: 32900, 10: 13183}, - ("Twos", 5, 7): {0: 2396, 4: 11231, 6: 29481, 8: 37636, 10: 19256}, - ("Twos", 5, 8): {0: 1171, 4: 7571, 6: 23993, 8: 40798, 10: 26467}, - ("Twos", 6, 0): {0: 100000}, - ("Twos", 6, 1): {0: 33502, 2: 40413, 4: 19717, 6: 6368}, - ("Twos", 6, 2): {0: 11210, 2: 29638, 4: 32701, 6: 18988, 8: 7463}, - ("Twos", 6, 3): {0: 3673, 2: 16459, 4: 29795, 6: 29102, 8: 15825, 10: 5146}, - ("Twos", 6, 4): {0: 1243, 2: 8048, 4: 21977, 6: 31053, 8: 25066, 10: 12613}, - ("Twos", 6, 5): {0: 441, 2: 3753, 4: 13949, 6: 28142, 8: 30723, 10: 18355, 12: 4637}, - ("Twos", 6, 6): {0: 1800, 4: 8455, 6: 22222, 8: 32692, 10: 26213, 12: 8618}, - ("Twos", 6, 7): {0: 775, 4: 4871, 6: 16142, 8: 31410, 10: 32532, 12: 14270}, - ("Twos", 6, 8): {0: 2855, 6: 11432, 8: 27864, 10: 37237, 12: 20612}, - ("Twos", 7, 0): {0: 100000}, - ("Twos", 7, 1): {0: 27683, 2: 39060, 4: 23574, 6: 9683}, - ("Twos", 7, 2): {0: 7824, 2: 24031, 4: 31764, 6: 23095, 8: 13286}, - ("Twos", 7, 3): {0: 2148, 2: 11019, 4: 24197, 6: 29599, 8: 21250, 10: 11787}, - ("Twos", 7, 4): {0: 564, 2: 4465, 4: 14571, 6: 26395, 8: 28409, 10: 18080, 12: 7516}, - ("Twos", 7, 5): {0: 1913, 4: 7911, 6: 19287, 8: 29039, 10: 26129, 12: 15721}, - ("Twos", 7, 6): {0: 702, 4: 3961, 6: 12897, 8: 25752, 10: 30413, 12: 20324, 14: 5951}, - ("Twos", 7, 7): {0: 2179, 6: 8007, 8: 20334, 10: 32054, 12: 27347, 14: 10079}, - ("Twos", 7, 8): {0: 942, 6: 4602, 8: 15233, 10: 30248, 12: 33276, 14: 15699}, - ("Twos", 8, 0): {0: 100000}, - ("Twos", 8, 1): {0: 23378, 2: 37157, 4: 26082, 6: 13383}, - ("Twos", 8, 2): {0: 5420, 2: 19164, 4: 29216, 6: 25677, 8: 14198, 10: 6325}, - ("Twos", 8, 3): {0: 1271, 2: 7289, 4: 18793, 6: 27054, 8: 24712, 10: 14462, 12: 6419}, - ("Twos", 8, 4): {0: 2889, 4: 9310, 6: 20242, 8: 27389, 10: 23232, 12: 12609, 14: 4329}, - ("Twos", 8, 5): {0: 879, 4: 4184, 6: 12669, 8: 23322, 10: 27882, 12: 20768, 14: 10296}, - ("Twos", 8, 6): {0: 2041, 6: 6992, 8: 17148, 10: 27398, 12: 27048, 14: 15513, 16: 3860}, - ("Twos", 8, 7): {0: 741, 6: 3547, 8: 11479, 10: 23675, 12: 30829, 14: 22454, 16: 7275}, - ("Twos", 8, 8): {2: 2053, 8: 6980, 10: 18697, 12: 31310, 14: 28983, 16: 11977}, - ("Threes", 0, 0): {0: 100000}, - ("Threes", 0, 1): {0: 100000}, - ("Threes", 0, 2): {0: 100000}, - ("Threes", 0, 3): {0: 100000}, - ("Threes", 0, 4): {0: 100000}, - ("Threes", 0, 5): {0: 100000}, - ("Threes", 0, 6): {0: 100000}, - ("Threes", 0, 7): {0: 100000}, - ("Threes", 0, 8): {0: 100000}, - ("Threes", 1, 0): {0: 100000}, - ("Threes", 1, 1): {0: 83343, 3: 16657}, - ("Threes", 1, 2): {0: 69569, 3: 30431}, - ("Threes", 1, 3): {0: 57872, 3: 42128}, - ("Threes", 1, 4): {0: 48081, 3: 51919}, - ("Threes", 1, 5): {0: 40271, 3: 59729}, - ("Threes", 1, 6): {0: 33201, 3: 66799}, - ("Threes", 1, 7): {0: 27903, 3: 72097}, - ("Threes", 1, 8): {0: 23240, 3: 76760}, - ("Threes", 2, 0): {0: 100000}, - ("Threes", 2, 1): {0: 69419, 3: 27798, 6: 2783}, - ("Threes", 2, 2): {0: 48202, 3: 42590, 6: 9208}, - ("Threes", 2, 3): {0: 33376, 3: 48849, 6: 17775}, - ("Threes", 2, 4): {0: 23276, 3: 49810, 6: 26914}, - ("Threes", 2, 5): {0: 16092, 3: 47718, 6: 36190}, - ("Threes", 2, 6): {0: 11232, 3: 44515, 6: 44253}, - ("Threes", 2, 7): {0: 7589, 3: 40459, 6: 51952}, - ("Threes", 2, 8): {0: 5447, 3: 35804, 6: 58749}, - ("Threes", 3, 0): {0: 100000}, - ("Threes", 3, 1): {0: 57964, 3: 34701, 6: 7335}, - ("Threes", 3, 2): {0: 33637, 3: 44263, 6: 19213, 9: 2887}, - ("Threes", 3, 3): {0: 19520, 3: 42382, 6: 30676, 9: 7422}, - ("Threes", 3, 4): {0: 11265, 3: 35772, 6: 39042, 9: 13921}, - ("Threes", 3, 5): {0: 6419, 3: 28916, 6: 43261, 9: 21404}, - ("Threes", 3, 6): {0: 3810, 3: 22496, 6: 44388, 9: 29306}, - ("Threes", 3, 7): {0: 2174, 3: 16875, 6: 43720, 9: 37231}, - ("Threes", 3, 8): {0: 1237, 3: 12471, 6: 41222, 9: 45070}, - ("Threes", 4, 0): {0: 100000}, - ("Threes", 4, 1): {0: 48121, 3: 38786, 6: 13093}, - ("Threes", 4, 2): {0: 23296, 3: 40989, 6: 26998, 9: 8717}, - ("Threes", 4, 3): {0: 11233, 3: 32653, 6: 35710, 9: 17221, 12: 3183}, - ("Threes", 4, 4): {0: 5463, 3: 23270, 6: 37468, 9: 26734, 12: 7065}, - ("Threes", 4, 5): {0: 2691, 3: 15496, 6: 34539, 9: 34635, 12: 12639}, - ("Threes", 4, 6): {0: 1221, 3: 10046, 6: 29811, 9: 39190, 12: 19732}, - ("Threes", 4, 7): {0: 599, 3: 6322, 6: 24420, 9: 41614, 12: 27045}, - ("Threes", 4, 8): {0: 309, 3: 3876, 6: 18843, 9: 42236, 12: 34736}, - ("Threes", 5, 0): {0: 100000}, - ("Threes", 5, 1): {0: 40183, 3: 40377, 6: 16039, 9: 3401}, - ("Threes", 5, 2): {0: 16197, 3: 35494, 6: 30937, 9: 13946, 12: 3426}, - ("Threes", 5, 3): {0: 6583, 3: 23394, 6: 34432, 9: 25239, 12: 10352}, - ("Threes", 5, 4): {0: 2636, 3: 14072, 6: 30134, 9: 32371, 12: 17169, 15: 3618}, - ("Threes", 5, 5): {0: 1075, 3: 7804, 6: 23010, 9: 34811, 12: 25702, 15: 7598}, - ("Threes", 5, 6): {0: 418, 3: 4234, 6: 16654, 9: 32809, 12: 32892, 15: 12993}, - ("Threes", 5, 7): {0: 162, 3: 2203, 6: 11416, 9: 29072, 12: 37604, 15: 19543}, - ("Threes", 5, 8): {0: 1246, 6: 7425, 9: 24603, 12: 40262, 15: 26464}, - ("Threes", 6, 0): {0: 100000}, - ("Threes", 6, 1): {0: 33473, 3: 40175, 6: 20151, 9: 6201}, - ("Threes", 6, 2): {0: 11147, 3: 29592, 6: 32630, 9: 19287, 12: 7344}, - ("Threes", 6, 3): {0: 3628, 3: 16528, 6: 29814, 9: 29006, 12: 15888, 15: 5136}, - ("Threes", 6, 4): {0: 1262, 3: 8236, 6: 21987, 9: 30953, 12: 24833, 15: 12729}, - ("Threes", 6, 5): {0: 416, 3: 3820, 6: 13949, 9: 27798, 12: 31197, 15: 18256, 18: 4564}, - ("Threes", 6, 6): {0: 1796, 6: 8372, 9: 22175, 12: 32897, 15: 26264, 18: 8496}, - ("Threes", 6, 7): {0: 791, 6: 4728, 9: 16346, 12: 31385, 15: 32666, 18: 14084}, - ("Threes", 6, 8): {0: 317, 6: 2651, 9: 11202, 12: 28320, 15: 36982, 18: 20528}, - ("Threes", 7, 0): {0: 100000}, - ("Threes", 7, 1): {0: 27933, 3: 39105, 6: 23338, 9: 9624}, - ("Threes", 7, 2): {0: 7794, 3: 23896, 6: 31832, 9: 23110, 12: 10218, 15: 3150}, - ("Threes", 7, 3): {0: 2138, 3: 11098, 6: 24140, 9: 29316, 12: 21386, 15: 9413, 18: 2509}, - ("Threes", 7, 4): {0: 590, 3: 4648, 6: 14737, 9: 26233, 12: 28244, 15: 18118, 18: 7430}, - ("Threes", 7, 5): {0: 1941, 6: 7953, 9: 19439, 12: 28977, 15: 26078, 18: 12957, 21: 2655}, - ("Threes", 7, 6): {0: 718, 6: 3938, 9: 13025, 12: 25793, 15: 30535, 18: 20208, 21: 5783}, - ("Threes", 7, 7): {0: 2064, 9: 7941, 12: 20571, 15: 31859, 18: 27374, 21: 10191}, - ("Threes", 7, 8): {0: 963, 9: 4747, 12: 15117, 15: 30313, 18: 33133, 21: 15727}, - ("Threes", 8, 0): {0: 100000}, - ("Threes", 8, 1): {0: 23337, 3: 37232, 6: 25968, 9: 10377, 12: 3086}, - ("Threes", 8, 2): {0: 5310, 3: 18930, 6: 29232, 9: 26016, 12: 14399, 15: 6113}, - ("Threes", 8, 3): {0: 1328, 3: 7328, 6: 18754, 9: 27141, 12: 24703, 15: 14251, 18: 6495}, - ("Threes", 8, 4): {0: 291, 3: 2428, 6: 9554, 9: 20607, 12: 26898, 15: 23402, 18: 12452, 21: 4368}, - ("Threes", 8, 5): {0: 905, 6: 4240, 9: 12608, 12: 23248, 15: 27931, 18: 20616, 21: 10452}, - ("Threes", 8, 6): {0: 1914, 9: 6890, 12: 17302, 15: 27235, 18: 27276, 21: 15571, 24: 3812}, - ("Threes", 8, 7): {0: 800, 9: 3547, 12: 11580, 15: 23682, 18: 30401, 21: 22546, 24: 7444}, - ("Threes", 8, 8): {0: 2041, 12: 7211, 15: 18980, 18: 30657, 21: 29074, 24: 12037}, - ("Fours", 0, 0): {0: 100000}, - ("Fours", 0, 1): {0: 100000}, - ("Fours", 0, 2): {0: 100000}, - ("Fours", 0, 3): {0: 100000}, - ("Fours", 0, 4): {0: 100000}, - ("Fours", 0, 5): {0: 100000}, - ("Fours", 0, 6): {0: 100000}, - ("Fours", 0, 7): {0: 100000}, - ("Fours", 0, 8): {0: 100000}, - ("Fours", 1, 0): {0: 100000}, - ("Fours", 1, 1): {0: 83260, 4: 16740}, - ("Fours", 1, 2): {0: 69514, 4: 30486}, - ("Fours", 1, 3): {0: 58017, 4: 41983}, - ("Fours", 1, 4): {0: 48389, 4: 51611}, - ("Fours", 1, 5): {0: 40201, 4: 59799}, - ("Fours", 1, 6): {0: 33496, 4: 66504}, - ("Fours", 1, 7): {0: 28052, 4: 71948}, - ("Fours", 1, 8): {0: 23431, 4: 76569}, - ("Fours", 2, 0): {0: 100000}, - ("Fours", 2, 1): {0: 69379, 4: 27817, 8: 2804}, - ("Fours", 2, 2): {0: 48538, 4: 42240, 8: 9222}, - ("Fours", 2, 3): {0: 33756, 4: 48555, 8: 17689}, - ("Fours", 2, 4): {0: 23070, 4: 49916, 8: 27014}, - ("Fours", 2, 5): {0: 16222, 4: 48009, 8: 35769}, - ("Fours", 2, 6): {0: 11125, 4: 44400, 8: 44475}, - ("Fours", 2, 7): {0: 7919, 4: 40216, 8: 51865}, - ("Fours", 2, 8): {0: 5348, 4: 35757, 8: 58895}, - ("Fours", 3, 0): {0: 100000}, - ("Fours", 3, 1): {0: 57914, 4: 34622, 8: 7464}, - ("Fours", 3, 2): {0: 33621, 4: 44110, 8: 19466, 12: 2803}, - ("Fours", 3, 3): {0: 19153, 4: 42425, 8: 30898, 12: 7524}, - ("Fours", 3, 4): {0: 11125, 4: 36011, 8: 39024, 12: 13840}, - ("Fours", 3, 5): {0: 6367, 4: 29116, 8: 43192, 12: 21325}, - ("Fours", 3, 6): {0: 3643, 4: 22457, 8: 44477, 12: 29423}, - ("Fours", 3, 7): {0: 2178, 4: 16802, 8: 43275, 12: 37745}, - ("Fours", 3, 8): {0: 1255, 4: 12301, 8: 41132, 12: 45312}, - ("Fours", 4, 0): {0: 100000}, - ("Fours", 4, 1): {0: 48465, 4: 38398, 8: 11492, 12: 1645}, - ("Fours", 4, 2): {0: 23296, 4: 40911, 8: 27073, 12: 8720}, - ("Fours", 4, 3): {0: 11200, 4: 33191, 8: 35337, 12: 17222, 16: 3050}, - ("Fours", 4, 4): {0: 5447, 4: 23066, 8: 37441, 12: 26861, 16: 7185}, - ("Fours", 4, 5): {0: 2533, 4: 15668, 8: 34781, 12: 34222, 16: 12796}, - ("Fours", 4, 6): {0: 1314, 4: 10001, 8: 29850, 12: 39425, 16: 19410}, - ("Fours", 4, 7): {0: 592, 4: 6231, 8: 24250, 12: 41917, 16: 27010}, - ("Fours", 4, 8): {0: 302, 4: 3887, 8: 19168, 12: 41866, 16: 34777}, - ("Fours", 5, 0): {0: 100000}, - ("Fours", 5, 1): {0: 40215, 4: 40127, 8: 16028, 12: 3630}, - ("Fours", 5, 2): {0: 15946, 4: 35579, 8: 31158, 12: 13998, 16: 3319}, - ("Fours", 5, 3): {0: 6479, 4: 23705, 8: 34575, 12: 24783, 16: 10458}, - ("Fours", 5, 4): {0: 2635, 4: 13889, 8: 30079, 12: 32428, 16: 17263, 20: 3706}, - ("Fours", 5, 5): {0: 1160, 4: 7756, 8: 23332, 12: 34254, 16: 25803, 20: 7695}, - ("Fours", 5, 6): {0: 434, 4: 4248, 8: 16525, 12: 32910, 16: 32752, 20: 13131}, - ("Fours", 5, 7): {0: 169, 4: 2122, 8: 11414, 12: 29123, 16: 37701, 20: 19471}, - ("Fours", 5, 8): {0: 1267, 8: 7340, 12: 24807, 16: 40144, 20: 26442}, - ("Fours", 6, 0): {0: 100000}, - ("Fours", 6, 1): {0: 33632, 4: 39856, 8: 20225, 12: 6287}, - ("Fours", 6, 2): {0: 11175, 4: 29824, 8: 32381, 12: 19179, 16: 7441}, - ("Fours", 6, 3): {0: 3698, 4: 16329, 8: 29939, 12: 29071, 16: 15808, 20: 5155}, - ("Fours", 6, 4): {0: 1284, 4: 7889, 8: 21748, 12: 31107, 16: 25281, 20: 10816, 24: 1875}, - ("Fours", 6, 5): {0: 462, 4: 3792, 8: 13809, 12: 27817, 16: 31233, 20: 18386, 24: 4501}, - ("Fours", 6, 6): {0: 147, 4: 1636, 8: 8344, 12: 22156, 16: 32690, 20: 26192, 24: 8835}, - ("Fours", 6, 7): {0: 767, 8: 4689, 12: 16285, 16: 31490, 20: 32639, 24: 14130}, - ("Fours", 6, 8): {0: 357, 8: 2524, 12: 11388, 16: 27841, 20: 37380, 24: 20510}, - ("Fours", 7, 0): {0: 100000}, - ("Fours", 7, 1): {0: 27821, 4: 39289, 8: 23327, 12: 7807, 16: 1756}, - ("Fours", 7, 2): {0: 7950, 4: 24026, 8: 31633, 12: 23169, 16: 10162, 20: 3060}, - ("Fours", 7, 3): {0: 2194, 4: 11153, 8: 24107, 12: 29411, 16: 21390, 20: 9251, 24: 2494}, - ("Fours", 7, 4): {0: 560, 4: 4503, 8: 14788, 12: 26330, 16: 28118, 20: 18174, 24: 7527}, - ("Fours", 7, 5): {0: 171, 4: 1687, 8: 7862, 12: 19425, 16: 29003, 20: 26113, 24: 12972, 28: 2767}, - ("Fours", 7, 6): {0: 679, 8: 3896, 12: 12863, 16: 25831, 20: 30724, 24: 20147, 28: 5860}, - ("Fours", 7, 7): {0: 252, 8: 1846, 12: 7978, 16: 20524, 20: 31843, 24: 27368, 28: 10189}, - ("Fours", 7, 8): {4: 864, 12: 4712, 16: 15198, 20: 30153, 24: 33428, 28: 15645}, - ("Fours", 8, 0): {0: 100000}, - ("Fours", 8, 1): {0: 23275, 4: 37161, 8: 25964, 12: 10570, 16: 3030}, - ("Fours", 8, 2): {0: 5421, 4: 19014, 8: 29259, 12: 25812, 16: 14387, 20: 6107}, - ("Fours", 8, 3): {0: 1277, 4: 7349, 8: 18330, 12: 27186, 16: 25138, 20: 14371, 24: 6349}, - ("Fours", 8, 4): {0: 289, 4: 2563, 8: 9366, 12: 20282, 16: 26960, 20: 23292, 24: 12927, 28: 4321}, - ("Fours", 8, 5): {0: 835, 8: 4214, 12: 12492, 16: 23588, 20: 27754, 24: 20767, 28: 8693, 32: 1657}, - ("Fours", 8, 6): {0: 269, 8: 1771, 12: 6892, 16: 17296, 20: 27398, 24: 27074, 28: 15457, 32: 3843}, - ("Fours", 8, 7): {0: 745, 12: 3649, 16: 11420, 20: 23737, 24: 30628, 28: 22590, 32: 7231}, - ("Fours", 8, 8): {0: 266, 12: 1683, 16: 7021, 20: 18630, 24: 31109, 28: 29548, 32: 11743}, - ("Fives", 0, 0): {0: 100000}, - ("Fives", 0, 1): {0: 100000}, - ("Fives", 0, 2): {0: 100000}, - ("Fives", 0, 3): {0: 100000}, - ("Fives", 0, 4): {0: 100000}, - ("Fives", 0, 5): {0: 100000}, - ("Fives", 0, 6): {0: 100000}, - ("Fives", 0, 7): {0: 100000}, - ("Fives", 0, 8): {0: 100000}, - ("Fives", 1, 0): {0: 100000}, - ("Fives", 1, 1): {0: 83338, 5: 16662}, - ("Fives", 1, 2): {0: 69499, 5: 30501}, - ("Fives", 1, 3): {0: 57799, 5: 42201}, - ("Fives", 1, 4): {0: 48311, 5: 51689}, - ("Fives", 1, 5): {0: 40084, 5: 59916}, - ("Fives", 1, 6): {0: 33440, 5: 66560}, - ("Fives", 1, 7): {0: 27730, 5: 72270}, - ("Fives", 1, 8): {0: 23210, 5: 76790}, - ("Fives", 2, 0): {0: 100000}, - ("Fives", 2, 1): {0: 69299, 5: 27864, 10: 2837}, - ("Fives", 2, 2): {0: 48156, 5: 42526, 10: 9318}, - ("Fives", 2, 3): {0: 33225, 5: 49153, 10: 17622}, - ("Fives", 2, 4): {0: 23218, 5: 50075, 10: 26707}, - ("Fives", 2, 5): {0: 15939, 5: 48313, 10: 35748}, - ("Fives", 2, 6): {0: 11340, 5: 44324, 10: 44336}, - ("Fives", 2, 7): {0: 7822, 5: 40388, 10: 51790}, - ("Fives", 2, 8): {0: 5386, 5: 35636, 10: 58978}, - ("Fives", 3, 0): {0: 100000}, - ("Fives", 3, 1): {0: 58034, 5: 34541, 10: 7425}, - ("Fives", 3, 2): {0: 33466, 5: 44227, 10: 19403, 15: 2904}, - ("Fives", 3, 3): {0: 19231, 5: 42483, 10: 30794, 15: 7492}, - ("Fives", 3, 4): {0: 11196, 5: 36192, 10: 38673, 15: 13939}, - ("Fives", 3, 5): {0: 6561, 5: 29163, 10: 43014, 15: 21262}, - ("Fives", 3, 6): {0: 3719, 5: 22181, 10: 44611, 15: 29489}, - ("Fives", 3, 7): {0: 2099, 5: 16817, 10: 43466, 15: 37618}, - ("Fives", 3, 8): {0: 1281, 5: 12473, 10: 40936, 15: 45310}, - ("Fives", 4, 0): {0: 100000}, - ("Fives", 4, 1): {0: 48377, 5: 38345, 10: 11611, 15: 1667}, - ("Fives", 4, 2): {0: 23126, 5: 40940, 10: 27041, 15: 8893}, - ("Fives", 4, 3): {0: 11192, 5: 32597, 10: 35753, 15: 17250, 20: 3208}, - ("Fives", 4, 4): {0: 5362, 5: 23073, 10: 37379, 15: 26968, 20: 7218}, - ("Fives", 4, 5): {0: 2655, 5: 15662, 10: 34602, 15: 34186, 20: 12895}, - ("Fives", 4, 6): {0: 1291, 5: 9959, 10: 29833, 15: 39417, 20: 19500}, - ("Fives", 4, 7): {0: 623, 5: 6231, 10: 24360, 15: 41779, 20: 27007}, - ("Fives", 4, 8): {0: 313, 5: 3837, 10: 19164, 15: 41957, 20: 34729}, - ("Fives", 5, 0): {0: 100000}, - ("Fives", 5, 1): {0: 39911, 5: 40561, 10: 16029, 15: 3499}, - ("Fives", 5, 2): {0: 16178, 5: 35517, 10: 31246, 15: 13793, 20: 3266}, - ("Fives", 5, 3): {0: 6526, 5: 23716, 10: 34430, 15: 25017, 20: 8948, 25: 1363}, - ("Fives", 5, 4): {0: 2615, 5: 13975, 10: 30133, 15: 32247, 20: 17219, 25: 3811}, - ("Fives", 5, 5): {0: 1063, 5: 7876, 10: 23203, 15: 34489, 20: 25757, 25: 7612}, - ("Fives", 5, 6): {0: 429, 5: 4091, 10: 16696, 15: 32855, 20: 32891, 25: 13038}, - ("Fives", 5, 7): {0: 159, 5: 2211, 10: 11298, 15: 29416, 20: 37778, 25: 19138}, - ("Fives", 5, 8): {0: 1179, 10: 7453, 15: 24456, 20: 40615, 25: 26297}, - ("Fives", 6, 0): {0: 100000}, - ("Fives", 6, 1): {0: 33476, 5: 40167, 10: 20181, 15: 6176}, - ("Fives", 6, 2): {0: 11322, 5: 29613, 10: 32664, 15: 19004, 20: 7397}, - ("Fives", 6, 3): {0: 3765, 5: 16288, 10: 29770, 15: 29233, 20: 15759, 25: 5185}, - ("Fives", 6, 4): {0: 1201, 5: 8226, 10: 21518, 15: 31229, 20: 25160, 25: 10712, 30: 1954}, - ("Fives", 6, 5): {0: 433, 5: 3874, 10: 14005, 15: 27961, 20: 30800, 25: 18442, 30: 4485}, - ("Fives", 6, 6): {0: 141, 5: 1686, 10: 8354, 15: 22226, 20: 32744, 25: 26341, 30: 8508}, - ("Fives", 6, 7): {0: 772, 10: 4724, 15: 16206, 20: 31363, 25: 32784, 30: 14151}, - ("Fives", 6, 8): {0: 297, 10: 2623, 15: 11279, 20: 28004, 25: 37178, 30: 20619}, - ("Fives", 7, 0): {0: 100000}, - ("Fives", 7, 1): {0: 27826, 5: 39154, 10: 23567, 15: 7734, 20: 1719}, - ("Fives", 7, 2): {0: 7609, 5: 24193, 10: 31722, 15: 23214, 20: 10140, 25: 3122}, - ("Fives", 7, 3): {0: 2262, 5: 11013, 10: 24443, 15: 29307, 20: 21387, 25: 9164, 30: 2424}, - ("Fives", 7, 4): {0: 618, 5: 4583, 10: 14761, 15: 26159, 20: 28335, 25: 18050, 30: 7494}, - ("Fives", 7, 5): {0: 183, 5: 1707, 10: 7909, 15: 19685, 20: 28915, 25: 26000, 30: 12883, 35: 2718}, - ("Fives", 7, 6): {0: 670, 10: 3836, 15: 13042, 20: 25572, 25: 30456, 30: 20695, 35: 5729}, - ("Fives", 7, 7): {0: 255, 10: 1852, 15: 7866, 20: 20696, 25: 31883, 30: 27333, 35: 10115}, - ("Fives", 7, 8): {0: 927, 15: 4700, 20: 15292, 25: 30298, 30: 33015, 35: 15768}, - ("Fives", 8, 0): {0: 100000}, - ("Fives", 8, 1): {0: 23333, 5: 37259, 10: 25947, 15: 10392, 20: 3069}, - ("Fives", 8, 2): {0: 5425, 5: 18915, 10: 29380, 15: 25994, 20: 14056, 25: 6230}, - ("Fives", 8, 3): {0: 1258, 5: 7317, 10: 18783, 15: 27375, 20: 24542, 25: 14322, 30: 6403}, - ("Fives", 8, 4): {0: 271, 5: 2481, 10: 9383, 15: 20267, 20: 27158, 25: 23589, 30: 12529, 35: 4322}, - ("Fives", 8, 5): {0: 943, 10: 4260, 15: 12456, 20: 23115, 25: 27968, 30: 20704, 35: 8917, 40: 1637}, - ("Fives", 8, 6): {0: 281, 10: 1689, 15: 6936, 20: 17201, 25: 27484, 30: 27178, 35: 15414, 40: 3817}, - ("Fives", 8, 7): {0: 746, 15: 3535, 20: 11429, 25: 23717, 30: 30426, 35: 22677, 40: 7470}, - ("Fives", 8, 8): {0: 261, 15: 1779, 20: 7148, 25: 18714, 30: 31084, 35: 29126, 40: 11888}, - ("Sixes", 0, 0): {0: 100000}, - ("Sixes", 0, 1): {0: 100000}, - ("Sixes", 0, 2): {0: 100000}, - ("Sixes", 0, 3): {0: 100000}, - ("Sixes", 0, 4): {0: 100000}, - ("Sixes", 0, 5): {0: 100000}, - ("Sixes", 0, 6): {0: 100000}, - ("Sixes", 0, 7): {0: 100000}, - ("Sixes", 0, 8): {0: 100000}, - ("Sixes", 1, 0): {0: 100000}, - ("Sixes", 1, 1): {0: 83168, 6: 16832}, - ("Sixes", 1, 2): {0: 69548, 6: 30452}, - ("Sixes", 1, 3): {0: 57697, 6: 42303}, - ("Sixes", 1, 4): {0: 48043, 6: 51957}, - ("Sixes", 1, 5): {0: 39912, 6: 60088}, - ("Sixes", 1, 6): {0: 33499, 6: 66501}, - ("Sixes", 1, 7): {0: 28251, 6: 71749}, - ("Sixes", 1, 8): {0: 23206, 6: 76794}, - ("Sixes", 2, 0): {0: 100000}, - ("Sixes", 2, 1): {0: 69463, 6: 27651, 12: 2886}, - ("Sixes", 2, 2): {0: 47896, 6: 42794, 12: 9310}, - ("Sixes", 2, 3): {0: 33394, 6: 48757, 12: 17849}, - ("Sixes", 2, 4): {0: 23552, 6: 49554, 12: 26894}, - ("Sixes", 2, 5): {0: 16090, 6: 48098, 12: 35812}, - ("Sixes", 2, 6): {0: 11073, 6: 44833, 12: 44094}, - ("Sixes", 2, 7): {0: 7737, 6: 40480, 12: 51783}, - ("Sixes", 2, 8): {0: 5379, 6: 35672, 12: 58949}, - ("Sixes", 3, 0): {0: 100000}, - ("Sixes", 3, 1): {0: 57718, 6: 34818, 12: 7464}, - ("Sixes", 3, 2): {0: 33610, 6: 44328, 12: 19159, 18: 2903}, - ("Sixes", 3, 3): {0: 19366, 6: 42246, 12: 30952, 18: 7436}, - ("Sixes", 3, 4): {0: 11144, 6: 36281, 12: 38817, 18: 13758}, - ("Sixes", 3, 5): {0: 6414, 6: 28891, 12: 43114, 18: 21581}, - ("Sixes", 3, 6): {0: 3870, 6: 22394, 12: 44318, 18: 29418}, - ("Sixes", 3, 7): {0: 2188, 6: 16803, 12: 43487, 18: 37522}, - ("Sixes", 3, 8): {0: 1289, 6: 12421, 12: 41082, 18: 45208}, - ("Sixes", 4, 0): {0: 100000}, - ("Sixes", 4, 1): {0: 48197, 6: 38521, 12: 11677, 18: 1605}, - ("Sixes", 4, 2): {0: 23155, 6: 41179, 12: 26935, 18: 8731}, - ("Sixes", 4, 3): {0: 11256, 6: 32609, 12: 35588, 18: 17390, 24: 3157}, - ("Sixes", 4, 4): {0: 5324, 6: 23265, 12: 37209, 18: 26929, 24: 7273}, - ("Sixes", 4, 5): {0: 2658, 6: 15488, 12: 34685, 18: 34476, 24: 12693}, - ("Sixes", 4, 6): {0: 1282, 6: 9997, 12: 29855, 18: 39379, 24: 19487}, - ("Sixes", 4, 7): {0: 588, 6: 6202, 12: 24396, 18: 41935, 24: 26879}, - ("Sixes", 4, 8): {0: 317, 6: 3863, 12: 19042, 18: 42180, 24: 34598}, - ("Sixes", 5, 0): {0: 100000}, - ("Sixes", 5, 1): {0: 40393, 6: 39904, 12: 16206, 18: 3497}, - ("Sixes", 5, 2): {0: 16202, 6: 35664, 12: 31241, 18: 13612, 24: 3281}, - ("Sixes", 5, 3): {0: 6456, 6: 23539, 12: 34585, 18: 25020, 24: 9082, 30: 1318}, - ("Sixes", 5, 4): {0: 2581, 6: 13980, 12: 30355, 18: 32198, 24: 17115, 30: 3771}, - ("Sixes", 5, 5): {0: 1119, 6: 7775, 12: 23063, 18: 34716, 24: 25568, 30: 7759}, - ("Sixes", 5, 6): {0: 392, 6: 4171, 12: 16724, 18: 32792, 24: 32829, 30: 13092}, - ("Sixes", 5, 7): {0: 197, 6: 2118, 12: 11509, 18: 29190, 24: 37560, 30: 19426}, - ("Sixes", 5, 8): {0: 70, 6: 1176, 12: 7404, 18: 24560, 24: 40134, 30: 26656}, - ("Sixes", 6, 0): {0: 100000}, - ("Sixes", 6, 1): {0: 33316, 6: 40218, 12: 20198, 18: 6268}, - ("Sixes", 6, 2): {0: 11256, 6: 29444, 12: 32590, 18: 19196, 24: 6278, 30: 1236}, - ("Sixes", 6, 3): {0: 3787, 6: 16266, 12: 29873, 18: 29107, 24: 15863, 30: 5104}, - ("Sixes", 6, 4): {0: 1286, 6: 8066, 12: 21653, 18: 31264, 24: 25039, 30: 10779, 36: 1913}, - ("Sixes", 6, 5): {0: 413, 6: 3777, 12: 13962, 18: 27705, 24: 30919, 30: 18670, 36: 4554}, - ("Sixes", 6, 6): {0: 146, 6: 1658, 12: 8382, 18: 22320, 24: 32923, 30: 26086, 36: 8485}, - ("Sixes", 6, 7): {0: 814, 12: 4698, 18: 16286, 24: 31577, 30: 32487, 36: 14138}, - ("Sixes", 6, 8): {0: 328, 12: 2558, 18: 11446, 24: 28064, 30: 37212, 36: 20392}, - ("Sixes", 7, 0): {0: 100000}, - ("Sixes", 7, 1): {0: 27852, 6: 38984, 12: 23499, 18: 7935, 24: 1730}, - ("Sixes", 7, 2): {0: 7883, 6: 23846, 12: 31558, 18: 23295, 24: 10316, 30: 3102}, - ("Sixes", 7, 3): {0: 2186, 6: 10928, 12: 24321, 18: 29650, 24: 21177, 30: 9209, 36: 2529}, - ("Sixes", 7, 4): {0: 603, 6: 4459, 12: 14673, 18: 26303, 24: 28335, 30: 18228, 36: 7399}, - ("Sixes", 7, 5): {0: 172, 6: 1775, 12: 7879, 18: 19381, 24: 29254, 30: 25790, 36: 12992, 42: 2757}, - ("Sixes", 7, 6): {0: 704, 12: 3864, 18: 13039, 24: 25760, 30: 30698, 36: 20143, 42: 5792}, - ("Sixes", 7, 7): {0: 257, 12: 1824, 18: 8033, 24: 20557, 30: 31709, 36: 27546, 42: 10074}, - ("Sixes", 7, 8): {0: 872, 18: 4658, 24: 15419, 30: 30259, 36: 33183, 42: 15609}, - ("Sixes", 8, 0): {0: 100000}, - ("Sixes", 8, 1): {0: 23220, 6: 37213, 12: 25961, 18: 10483, 24: 3123}, - ("Sixes", 8, 2): {0: 5280, 6: 18943, 12: 29664, 18: 25777, 24: 14170, 30: 4965, 36: 1201}, - ("Sixes", 8, 3): {0: 1246, 6: 7112, 12: 18757, 18: 27277, 24: 24802, 30: 14351, 36: 5260, 42: 1195}, - ("Sixes", 8, 4): {0: 301, 6: 2460, 12: 9584, 18: 20247, 24: 27146, 30: 23403, 36: 12524, 42: 4335}, - ("Sixes", 8, 5): {0: 859, 12: 4241, 18: 12477, 24: 23471, 30: 27655, 36: 20803, 42: 8841, 48: 1653}, - ("Sixes", 8, 6): {0: 277, 12: 1790, 18: 6866, 24: 17373, 30: 27347, 36: 27024, 42: 15394, 48: 3929}, - ("Sixes", 8, 7): {0: 766, 18: 3503, 24: 11451, 30: 23581, 36: 30772, 42: 22654, 48: 7273}, - ("Sixes", 8, 8): {6: 262, 18: 1750, 24: 7116, 30: 18755, 36: 31116, 42: 28870, 48: 12131}, - ("Choice", 0, 0): {0: 100000}, - ("Choice", 0, 1): {0: 100000}, - ("Choice", 0, 2): {0: 100000}, - ("Choice", 0, 3): {0: 100000}, - ("Choice", 0, 4): {0: 100000}, - ("Choice", 0, 5): {0: 100000}, - ("Choice", 0, 6): {0: 100000}, - ("Choice", 0, 7): {0: 100000}, - ("Choice", 0, 8): {0: 100000}, - ("Choice", 1, 0): {0: 100000}, - ("Choice", 1, 1): {1: 16642, 2: 16673, 3: 16828, 4: 16600, 5: 16618, 6: 16639}, - ("Choice", 1, 2): {1: 10921, 2: 11161, 3: 10899, 4: 11333, 5: 27898, 6: 27788}, - ("Choice", 1, 3): {1: 9416, 2: 9316, 3: 9263, 4: 9338, 5: 22740, 6: 39927}, - ("Choice", 1, 4): {1: 7775, 2: 7715, 3: 7698, 4: 7791, 5: 19312, 6: 49709}, - ("Choice", 1, 5): {1: 6390, 2: 12668, 4: 6516, 5: 16005, 6: 58421}, - ("Choice", 1, 6): {1: 10513, 3: 10719, 5: 13424, 6: 65344}, - ("Choice", 1, 7): {1: 8893, 3: 8908, 5: 11028, 6: 71171}, - ("Choice", 1, 8): {1: 7292, 3: 7406, 5: 9298, 6: 76004}, - ("Choice", 2, 0): {0: 100000}, - ("Choice", 2, 1): {2: 8504, 4: 8292, 5: 11014, 6: 13681, 7: 16670, 8: 13823, 9: 11170, 10: 8384, 11: 8462}, - ("Choice", 2, 2): {2: 3714, 4: 8658, 6: 9840, 7: 14772, 8: 13639, 9: 12220, 10: 13755, 11: 15622, 12: 7780}, - ("Choice", 2, 3): {2: 840, 3: 7805, 6: 6870, 7: 13487, 8: 12296, 9: 11489, 10: 12684, 11: 18510, 12: 16019}, - ("Choice", 2, 4): {2: 3576, 5: 7115, 7: 11794, 8: 11395, 9: 10694, 10: 11421, 11: 19145, 12: 24860}, - ("Choice", 2, 5): {2: 463, 3: 7112, 7: 10459, 8: 9985, 9: 9457, 10: 10101, 11: 18504, 12: 33919}, - ("Choice", 2, 6): {2: 5153, 7: 9329, 8: 8711, 9: 8343, 10: 8640, 11: 17310, 12: 42514}, - ("Choice", 2, 7): {2: 3638, 7: 7617, 8: 7580, 9: 7474, 10: 7514, 11: 15801, 12: 50376}, - ("Choice", 2, 8): {2: 2448, 7: 6849, 8: 12665, 10: 6546, 11: 14067, 12: 57425}, - ("Choice", 3, 0): {0: 100000}, - ("Choice", 3, 1): { - 3: 1862, - 5: 7301, - 7: 6986, - 8: 9834, - 9: 11635, - 10: 12552, - 11: 12455, - 12: 11648, - 13: 9762, - 14: 6922, - 15: 9043, - }, - ("Choice", 3, 2): { - 3: 5280, - 8: 11158, - 10: 7981, - 11: 10449, - 12: 13008, - 13: 13398, - 14: 11409, - 15: 9806, - 16: 8963, - 17: 8548, - }, - ("Choice", 3, 3): {3: 6324, 9: 10572, 11: 7570, 12: 10775, 13: 13633, 14: 12157, 15: 10908, 16: 10859, 17: 17202}, - ("Choice", 3, 4): { - 3: 482, - 6: 6730, - 10: 9977, - 12: 8677, - 13: 13346, - 14: 11945, - 15: 10762, - 16: 11330, - 17: 14452, - 18: 12299, - }, - ("Choice", 3, 5): {3: 4759, 10: 7287, 12: 6699, 13: 12249, 14: 11562, 15: 10586, 16: 11082, 17: 16329, 18: 19447}, - ("Choice", 3, 6): {3: 5557, 11: 7966, 13: 11050, 14: 10603, 15: 9701, 16: 10252, 17: 17096, 18: 27775}, - ("Choice", 3, 7): {3: 2154, 10: 7455, 13: 9808, 14: 9250, 15: 9022, 16: 9459, 17: 17010, 18: 35842}, - ("Choice", 3, 8): {3: 195, 8: 6647, 13: 8621, 14: 8389, 15: 8108, 16: 8392, 17: 16142, 18: 43506}, - ("Choice", 4, 0): {0: 100000}, - ("Choice", 4, 1): { - 4: 5386, - 9: 10561, - 11: 8105, - 12: 9516, - 13: 10880, - 14: 11229, - 15: 10673, - 16: 9725, - 17: 14274, - 19: 9651, - }, - ("Choice", 4, 2): { - 4: 530, - 8: 6980, - 12: 10646, - 14: 8110, - 15: 9539, - 16: 10496, - 17: 11349, - 18: 11247, - 19: 9825, - 20: 13885, - 22: 7393, - }, - ("Choice", 4, 3): { - 4: 229, - 8: 6647, - 13: 9881, - 15: 7482, - 16: 8383, - 17: 9883, - 18: 11621, - 19: 11785, - 20: 9895, - 21: 8490, - 22: 7386, - 23: 8318, - }, - ("Choice", 4, 4): { - 4: 6399, - 14: 9537, - 16: 6768, - 17: 8169, - 18: 10557, - 19: 12760, - 20: 11157, - 21: 9541, - 22: 9333, - 23: 15779, - }, - ("Choice", 4, 5): { - 4: 3784, - 14: 6909, - 16: 11343, - 18: 9020, - 19: 12893, - 20: 11414, - 21: 10261, - 22: 10446, - 23: 12551, - 24: 11379, - }, - ("Choice", 4, 6): { - 4: 357, - 11: 6656, - 16: 8615, - 18: 7311, - 19: 12054, - 20: 11246, - 21: 10350, - 22: 10306, - 23: 14883, - 24: 18222, - }, - ("Choice", 4, 7): {5: 781, 13: 6871, 17: 9283, 19: 11206, 20: 10646, 21: 9719, 22: 10265, 23: 15911, 24: 25318}, - ("Choice", 4, 8): {5: 5198, 17: 6991, 19: 10211, 20: 9548, 21: 9030, 22: 9596, 23: 16241, 24: 33185}, - ("Choice", 5, 0): {0: 100000}, - ("Choice", 5, 1): { - 5: 5892, - 12: 9348, - 14: 6758, - 15: 8305, - 16: 9529, - 17: 10211, - 18: 9956, - 19: 9571, - 20: 8205, - 21: 12367, - 23: 9858, - }, - ("Choice", 5, 2): { - 5: 1868, - 13: 7033, - 16: 10396, - 18: 7330, - 19: 8702, - 20: 9600, - 21: 9902, - 22: 10013, - 23: 9510, - 24: 14555, - 26: 11091, - }, - ("Choice", 5, 3): { - 6: 2633, - 15: 8316, - 18: 11302, - 20: 8079, - 21: 8990, - 22: 9536, - 23: 10122, - 24: 10309, - 25: 9165, - 26: 13088, - 28: 8460, - }, - ("Choice", 5, 4): { - 5: 2435, - 16: 6947, - 19: 10418, - 21: 7298, - 22: 8263, - 23: 9471, - 24: 10886, - 25: 11012, - 26: 9341, - 27: 7903, - 28: 7076, - 29: 8950, - }, - ("Choice", 5, 5): { - 6: 1166, - 16: 7257, - 20: 10195, - 22: 6727, - 23: 7952, - 24: 10206, - 25: 12129, - 26: 10402, - 27: 9106, - 28: 8745, - 29: 9384, - 30: 6731, - }, - ("Choice", 5, 6): { - 7: 5125, - 20: 7337, - 22: 11859, - 24: 9077, - 25: 12335, - 26: 11056, - 27: 9839, - 28: 9678, - 29: 11896, - 30: 11798, - }, - ("Choice", 5, 7): { - 8: 1811, - 19: 6720, - 22: 9099, - 24: 7418, - 25: 11791, - 26: 10837, - 27: 9773, - 28: 10189, - 29: 14323, - 30: 18039, - }, - ("Choice", 5, 8): {9: 1789, 20: 6793, 23: 9688, 25: 11074, 26: 10403, 27: 9715, 28: 9897, 29: 15421, 30: 25220}, - ("Choice", 6, 0): {0: 100000}, - ("Choice", 6, 1): { - 6: 1955, - 13: 7649, - 16: 10987, - 18: 7257, - 19: 8212, - 20: 8945, - 21: 9367, - 22: 9220, - 23: 8405, - 24: 7379, - 25: 11086, - 27: 9538, - }, - ("Choice", 6, 2): { - 8: 2663, - 17: 7517, - 20: 10032, - 22: 6866, - 23: 7807, - 24: 8800, - 25: 9290, - 26: 9222, - 27: 8618, - 28: 7991, - 29: 12133, - 31: 9061, - }, - ("Choice", 6, 3): { - 6: 3086, - 19: 7724, - 22: 10226, - 24: 6840, - 25: 7982, - 26: 8870, - 27: 9225, - 28: 9118, - 29: 9042, - 30: 8077, - 31: 11749, - 33: 8061, - }, - ("Choice", 6, 4): { - 9: 5677, - 22: 6537, - 24: 11015, - 26: 7683, - 27: 8452, - 28: 8910, - 29: 9441, - 30: 9858, - 31: 9026, - 32: 13391, - 34: 10010, - }, - ("Choice", 6, 5): { - 10: 2957, - 22: 7594, - 25: 10319, - 27: 6891, - 28: 7872, - 29: 8850, - 30: 10288, - 31: 11006, - 32: 9067, - 33: 7800, - 34: 7012, - 35: 10344, - }, - ("Choice", 6, 6): { - 13: 2597, - 23: 6582, - 26: 9813, - 28: 6555, - 29: 7718, - 30: 9632, - 31: 11682, - 32: 10420, - 33: 9115, - 34: 8614, - 35: 9505, - 36: 7767, - }, - ("Choice", 6, 7): { - 12: 5566, - 26: 7629, - 28: 11348, - 30: 8579, - 31: 11844, - 32: 10723, - 33: 9746, - 34: 9580, - 35: 12063, - 36: 12922, - }, - ("Choice", 6, 8): { - 12: 2159, - 25: 6831, - 28: 8929, - 30: 7305, - 31: 11529, - 32: 10601, - 33: 9674, - 34: 9888, - 35: 14109, - 36: 18975, - }, - ("Choice", 7, 0): {0: 100000}, - ("Choice", 7, 1): { - 7: 2250, - 16: 7087, - 19: 9820, - 21: 6693, - 22: 7434, - 23: 8119, - 24: 8658, - 25: 8584, - 26: 8246, - 27: 7412, - 28: 6528, - 29: 9736, - 31: 9433, - }, - ("Choice", 7, 2): { - 10: 3377, - 21: 7669, - 24: 9667, - 26: 6611, - 27: 7379, - 28: 8075, - 29: 8544, - 30: 8645, - 31: 8185, - 32: 7574, - 33: 6776, - 34: 9942, - 36: 7556, - }, - ("Choice", 7, 3): { - 10: 759, - 20: 6620, - 25: 7238, - 27: 11247, - 29: 7128, - 30: 7918, - 31: 8536, - 32: 8692, - 33: 8367, - 34: 7897, - 35: 7062, - 36: 10777, - 38: 7759, - }, - ("Choice", 7, 4): { - 13: 855, - 22: 6770, - 27: 7475, - 29: 11563, - 31: 7270, - 32: 8315, - 33: 8544, - 34: 8797, - 35: 8640, - 36: 8345, - 37: 12925, - 39: 10501, - }, - ("Choice", 7, 5): { - 12: 3879, - 27: 8154, - 30: 10292, - 32: 6951, - 33: 7741, - 34: 8605, - 35: 9013, - 36: 9807, - 37: 9314, - 38: 7940, - 39: 11718, - 41: 6586, - }, - ("Choice", 7, 6): { - 14: 3117, - 28: 7070, - 31: 9649, - 33: 6703, - 34: 7593, - 35: 8456, - 36: 9866, - 37: 10964, - 38: 9214, - 39: 7997, - 40: 7308, - 41: 12063, - }, - ("Choice", 7, 7): { - 16: 6063, - 31: 6965, - 33: 11647, - 35: 7249, - 36: 9373, - 37: 11510, - 38: 10233, - 39: 9031, - 40: 8781, - 41: 10070, - 42: 9078, - }, - ("Choice", 7, 8): { - 14: 2, - 19: 5475, - 32: 7069, - 34: 10904, - 36: 8240, - 37: 11908, - 38: 10538, - 39: 9681, - 40: 9402, - 41: 12225, - 42: 14556, - }, - ("Choice", 8, 0): {0: 100000}, - ("Choice", 8, 1): { - 10: 6123, - 21: 6797, - 23: 10848, - 25: 6829, - 26: 7482, - 27: 7879, - 28: 8093, - 29: 7997, - 30: 7423, - 31: 12710, - 33: 8800, - 35: 9019, - }, - ("Choice", 8, 2): { - 11: 1592, - 23: 6910, - 27: 7729, - 29: 11435, - 31: 6977, - 32: 7556, - 33: 8107, - 34: 7996, - 35: 7836, - 36: 13855, - 38: 10165, - 40: 9842, - }, - ("Choice", 8, 3): { - 12: 3417, - 27: 6923, - 30: 8456, - 32: 12018, - 34: 7101, - 35: 7685, - 36: 8217, - 37: 8047, - 38: 7791, - 39: 13422, - 41: 9562, - 43: 7361, - }, - ("Choice", 8, 4): { - 16: 2130, - 28: 7558, - 32: 8125, - 34: 11740, - 36: 7186, - 37: 7892, - 38: 8522, - 39: 8280, - 40: 7908, - 41: 7615, - 42: 6672, - 43: 9707, - 45: 6665, - }, - ("Choice", 8, 5): { - 16: 508, - 27: 6692, - 33: 6817, - 35: 10214, - 37: 6718, - 38: 7810, - 39: 8295, - 40: 8603, - 41: 8710, - 42: 8489, - 43: 7642, - 44: 11245, - 46: 8257, - }, - ("Choice", 8, 6): { - 16: 1, - 18: 3709, - 33: 7424, - 36: 9303, - 38: 6531, - 39: 7403, - 40: 8083, - 41: 8845, - 42: 9405, - 43: 9707, - 44: 8244, - 45: 12774, - 47: 8571, - }, - ("Choice", 8, 7): { - 20: 6500, - 36: 6685, - 38: 11374, - 40: 6939, - 41: 8066, - 42: 9590, - 43: 11127, - 44: 9360, - 45: 8216, - 46: 7645, - 47: 14498, - }, - ("Choice", 8, 8): { - 20: 1, - 23: 5463, - 37: 6527, - 39: 10741, - 41: 7044, - 42: 8984, - 43: 11631, - 44: 10176, - 45: 9102, - 46: 8827, - 47: 10686, - 48: 10818, - }, - ("Pair", 0, 0): {0: 100000}, - ("Pair", 0, 1): {0: 100000}, - ("Pair", 0, 2): {0: 100000}, - ("Pair", 0, 3): {0: 100000}, - ("Pair", 0, 4): {0: 100000}, - ("Pair", 0, 5): {0: 100000}, - ("Pair", 0, 6): {0: 100000}, - ("Pair", 0, 7): {0: 100000}, - ("Pair", 0, 8): {0: 100000}, - ("Pair", 1, 0): {0: 100000}, - ("Pair", 1, 1): {0: 100000}, - ("Pair", 1, 2): {0: 100000}, - ("Pair", 1, 3): {0: 100000}, - ("Pair", 1, 4): {0: 100000}, - ("Pair", 1, 5): {0: 100000}, - ("Pair", 1, 6): {0: 100000}, - ("Pair", 1, 7): {0: 100000}, - ("Pair", 1, 8): {0: 100000}, - ("Pair", 2, 0): {0: 100000}, - ("Pair", 2, 1): {0: 83388, 10: 16612}, - ("Pair", 2, 2): {0: 69422, 10: 30578}, - ("Pair", 2, 3): {0: 57830, 10: 42170}, - ("Pair", 2, 4): {0: 48195, 10: 51805}, - ("Pair", 2, 5): {0: 40117, 10: 59883}, - ("Pair", 2, 6): {0: 33286, 10: 66714}, - ("Pair", 2, 7): {0: 27917, 10: 72083}, - ("Pair", 2, 8): {0: 23354, 10: 76646}, - ("Pair", 3, 0): {0: 100000}, - ("Pair", 3, 1): {0: 55518, 10: 44482}, - ("Pair", 3, 2): {0: 30904, 10: 69096}, - ("Pair", 3, 3): {0: 17242, 10: 82758}, - ("Pair", 3, 4): {0: 9486, 10: 90514}, - ("Pair", 3, 5): {0: 5362, 10: 94638}, - ("Pair", 3, 6): {0: 2909, 10: 97091}, - ("Pair", 3, 7): {0: 1574, 10: 98426}, - ("Pair", 3, 8): {0: 902, 10: 99098}, - ("Pair", 4, 0): {0: 100000}, - ("Pair", 4, 1): {0: 27789, 10: 72211}, - ("Pair", 4, 2): {0: 7799, 10: 92201}, - ("Pair", 4, 3): {0: 2113, 10: 97887}, - ("Pair", 4, 4): {0: 601, 10: 99399}, - ("Pair", 4, 5): {0: 155, 10: 99845}, - ("Pair", 4, 6): {0: 43, 10: 99957}, - ("Pair", 4, 7): {0: 10, 10: 99990}, - ("Pair", 4, 8): {0: 3, 10: 99997}, - ("Pair", 5, 0): {0: 100000}, - ("Pair", 5, 1): {0: 9298, 10: 90702}, - ("Pair", 5, 2): {0: 863, 10: 99137}, - ("Pair", 5, 3): {0: 79, 10: 99921}, - ("Pair", 5, 4): {0: 2, 10: 99998}, - ("Pair", 5, 5): {0: 2, 10: 99998}, - ("Pair", 5, 6): {10: 100000}, - ("Pair", 5, 7): {10: 100000}, - ("Pair", 5, 8): {10: 100000}, - ("Pair", 6, 0): {0: 100000}, - ("Pair", 6, 1): {0: 1541, 10: 98459}, - ("Pair", 6, 2): {0: 23, 10: 99977}, - ("Pair", 6, 3): {10: 100000}, - ("Pair", 6, 4): {10: 100000}, - ("Pair", 6, 5): {10: 100000}, - ("Pair", 6, 6): {10: 100000}, - ("Pair", 6, 7): {10: 100000}, - ("Pair", 6, 8): {10: 100000}, - ("Pair", 7, 0): {0: 100000}, - ("Pair", 7, 1): {10: 100000}, - ("Pair", 7, 2): {10: 100000}, - ("Pair", 7, 3): {10: 100000}, - ("Pair", 7, 4): {10: 100000}, - ("Pair", 7, 5): {10: 100000}, - ("Pair", 7, 6): {10: 100000}, - ("Pair", 7, 7): {10: 100000}, - ("Pair", 7, 8): {10: 100000}, - ("Pair", 8, 0): {0: 100000}, - ("Pair", 8, 1): {10: 100000}, - ("Pair", 8, 2): {10: 100000}, - ("Pair", 8, 3): {10: 100000}, - ("Pair", 8, 4): {10: 100000}, - ("Pair", 8, 5): {10: 100000}, - ("Pair", 8, 6): {10: 100000}, - ("Pair", 8, 7): {10: 100000}, - ("Pair", 8, 8): {10: 100000}, - ("ThreeOfAKind", 0, 0): {0: 100000}, - ("ThreeOfAKind", 0, 1): {0: 100000}, - ("ThreeOfAKind", 0, 2): {0: 100000}, - ("ThreeOfAKind", 0, 3): {0: 100000}, - ("ThreeOfAKind", 0, 4): {0: 100000}, - ("ThreeOfAKind", 0, 5): {0: 100000}, - ("ThreeOfAKind", 0, 6): {0: 100000}, - ("ThreeOfAKind", 0, 7): {0: 100000}, - ("ThreeOfAKind", 0, 8): {0: 100000}, - ("ThreeOfAKind", 1, 0): {0: 100000}, - ("ThreeOfAKind", 1, 1): {0: 100000}, - ("ThreeOfAKind", 1, 2): {0: 100000}, - ("ThreeOfAKind", 1, 3): {0: 100000}, - ("ThreeOfAKind", 1, 4): {0: 100000}, - ("ThreeOfAKind", 1, 5): {0: 100000}, - ("ThreeOfAKind", 1, 6): {0: 100000}, - ("ThreeOfAKind", 1, 7): {0: 100000}, - ("ThreeOfAKind", 1, 8): {0: 100000}, - ("ThreeOfAKind", 2, 0): {0: 100000}, - ("ThreeOfAKind", 2, 1): {0: 100000}, - ("ThreeOfAKind", 2, 2): {0: 100000}, - ("ThreeOfAKind", 2, 3): {0: 100000}, - ("ThreeOfAKind", 2, 4): {0: 100000}, - ("ThreeOfAKind", 2, 5): {0: 100000}, - ("ThreeOfAKind", 2, 6): {0: 100000}, - ("ThreeOfAKind", 2, 7): {0: 100000}, - ("ThreeOfAKind", 2, 8): {0: 100000}, - ("ThreeOfAKind", 3, 0): {0: 100000}, - ("ThreeOfAKind", 3, 1): {0: 97222, 20: 2778}, - ("ThreeOfAKind", 3, 2): {0: 88880, 20: 11120}, - ("ThreeOfAKind", 3, 3): {0: 78187, 20: 21813}, - ("ThreeOfAKind", 3, 4): {0: 67476, 20: 32524}, - ("ThreeOfAKind", 3, 5): {0: 57476, 20: 42524}, - ("ThreeOfAKind", 3, 6): {0: 48510, 20: 51490}, - ("ThreeOfAKind", 3, 7): {0: 40921, 20: 59079}, - ("ThreeOfAKind", 3, 8): {0: 34533, 20: 65467}, - ("ThreeOfAKind", 4, 0): {0: 100000}, - ("ThreeOfAKind", 4, 1): {0: 90316, 20: 9684}, - ("ThreeOfAKind", 4, 2): {0: 68401, 20: 31599}, - ("ThreeOfAKind", 4, 3): {0: 49383, 20: 50617}, - ("ThreeOfAKind", 4, 4): {0: 34399, 20: 65601}, - ("ThreeOfAKind", 4, 5): {0: 24154, 20: 75846}, - ("ThreeOfAKind", 4, 6): {0: 16802, 20: 83198}, - ("ThreeOfAKind", 4, 7): {0: 11623, 20: 88377}, - ("ThreeOfAKind", 4, 8): {0: 8105, 20: 91895}, - ("ThreeOfAKind", 5, 0): {0: 100000}, - ("ThreeOfAKind", 5, 1): {0: 78629, 20: 21371}, - ("ThreeOfAKind", 5, 2): {0: 46013, 20: 53987}, - ("ThreeOfAKind", 5, 3): {0: 25698, 20: 74302}, - ("ThreeOfAKind", 5, 4): {0: 14205, 20: 85795}, - ("ThreeOfAKind", 5, 5): {0: 7932, 20: 92068}, - ("ThreeOfAKind", 5, 6): {0: 4357, 20: 95643}, - ("ThreeOfAKind", 5, 7): {0: 2432, 20: 97568}, - ("ThreeOfAKind", 5, 8): {0: 1378, 20: 98622}, - ("ThreeOfAKind", 6, 0): {0: 100000}, - ("ThreeOfAKind", 6, 1): {0: 63231, 20: 36769}, - ("ThreeOfAKind", 6, 2): {0: 26818, 20: 73182}, - ("ThreeOfAKind", 6, 3): {0: 11075, 20: 88925}, - ("ThreeOfAKind", 6, 4): {0: 4749, 20: 95251}, - ("ThreeOfAKind", 6, 5): {0: 1982, 20: 98018}, - ("ThreeOfAKind", 6, 6): {0: 827, 20: 99173}, - ("ThreeOfAKind", 6, 7): {0: 358, 20: 99642}, - ("ThreeOfAKind", 6, 8): {0: 146, 20: 99854}, - ("ThreeOfAKind", 7, 0): {0: 100000}, - ("ThreeOfAKind", 7, 1): {0: 45975, 20: 54025}, - ("ThreeOfAKind", 7, 2): {0: 13207, 20: 86793}, - ("ThreeOfAKind", 7, 3): {0: 3727, 20: 96273}, - ("ThreeOfAKind", 7, 4): {0: 1097, 20: 98903}, - ("ThreeOfAKind", 7, 5): {0: 313, 20: 99687}, - ("ThreeOfAKind", 7, 6): {0: 96, 20: 99904}, - ("ThreeOfAKind", 7, 7): {0: 22, 20: 99978}, - ("ThreeOfAKind", 7, 8): {0: 8, 20: 99992}, - ("ThreeOfAKind", 8, 0): {0: 100000}, - ("ThreeOfAKind", 8, 1): {0: 29316, 20: 70684}, - ("ThreeOfAKind", 8, 2): {0: 5027, 20: 94973}, - ("ThreeOfAKind", 8, 3): {0: 857, 20: 99143}, - ("ThreeOfAKind", 8, 4): {0: 162, 20: 99838}, - ("ThreeOfAKind", 8, 5): {0: 25, 20: 99975}, - ("ThreeOfAKind", 8, 6): {0: 4, 20: 99996}, - ("ThreeOfAKind", 8, 7): {0: 1, 20: 99999}, - ("ThreeOfAKind", 8, 8): {20: 100000}, - ("FourOfAKind", 0, 0): {0: 100000}, - ("FourOfAKind", 0, 1): {0: 100000}, - ("FourOfAKind", 0, 2): {0: 100000}, - ("FourOfAKind", 0, 3): {0: 100000}, - ("FourOfAKind", 0, 4): {0: 100000}, - ("FourOfAKind", 0, 5): {0: 100000}, - ("FourOfAKind", 0, 6): {0: 100000}, - ("FourOfAKind", 0, 7): {0: 100000}, - ("FourOfAKind", 0, 8): {0: 100000}, - ("FourOfAKind", 1, 0): {0: 100000}, - ("FourOfAKind", 1, 1): {0: 100000}, - ("FourOfAKind", 1, 2): {0: 100000}, - ("FourOfAKind", 1, 3): {0: 100000}, - ("FourOfAKind", 1, 4): {0: 100000}, - ("FourOfAKind", 1, 5): {0: 100000}, - ("FourOfAKind", 1, 6): {0: 100000}, - ("FourOfAKind", 1, 7): {0: 100000}, - ("FourOfAKind", 1, 8): {0: 100000}, - ("FourOfAKind", 2, 0): {0: 100000}, - ("FourOfAKind", 2, 1): {0: 100000}, - ("FourOfAKind", 2, 2): {0: 100000}, - ("FourOfAKind", 2, 3): {0: 100000}, - ("FourOfAKind", 2, 4): {0: 100000}, - ("FourOfAKind", 2, 5): {0: 100000}, - ("FourOfAKind", 2, 6): {0: 100000}, - ("FourOfAKind", 2, 7): {0: 100000}, - ("FourOfAKind", 2, 8): {0: 100000}, - ("FourOfAKind", 3, 0): {0: 100000}, - ("FourOfAKind", 3, 1): {0: 100000}, - ("FourOfAKind", 3, 2): {0: 100000}, - ("FourOfAKind", 3, 3): {0: 100000}, - ("FourOfAKind", 3, 4): {0: 100000}, - ("FourOfAKind", 3, 5): {0: 100000}, - ("FourOfAKind", 3, 6): {0: 100000}, - ("FourOfAKind", 3, 7): {0: 100000}, - ("FourOfAKind", 3, 8): {0: 100000}, - ("FourOfAKind", 4, 0): {0: 100000}, - ("FourOfAKind", 4, 1): {0: 99516, 30: 484}, - ("FourOfAKind", 4, 2): {0: 96122, 30: 3878}, - ("FourOfAKind", 4, 3): {0: 89867, 30: 10133}, - ("FourOfAKind", 4, 4): {0: 81771, 30: 18229}, - ("FourOfAKind", 4, 5): {0: 72893, 30: 27107}, - ("FourOfAKind", 4, 6): {0: 64000, 30: 36000}, - ("FourOfAKind", 4, 7): {0: 55921, 30: 44079}, - ("FourOfAKind", 4, 8): {0: 48175, 30: 51825}, - ("FourOfAKind", 5, 0): {0: 100000}, - ("FourOfAKind", 5, 1): {0: 97938, 30: 2062}, - ("FourOfAKind", 5, 2): {0: 86751, 30: 13249}, - ("FourOfAKind", 5, 3): {0: 70886, 30: 29114}, - ("FourOfAKind", 5, 4): {0: 54807, 30: 45193}, - ("FourOfAKind", 5, 5): {0: 41729, 30: 58271}, - ("FourOfAKind", 5, 6): {0: 30960, 30: 69040}, - ("FourOfAKind", 5, 7): {0: 22207, 30: 77793}, - ("FourOfAKind", 5, 8): {0: 16027, 30: 83973}, - ("FourOfAKind", 6, 0): {0: 100000}, - ("FourOfAKind", 6, 1): {0: 94810, 30: 5190}, - ("FourOfAKind", 6, 2): {0: 73147, 30: 26853}, - ("FourOfAKind", 6, 3): {0: 49873, 30: 50127}, - ("FourOfAKind", 6, 4): {0: 31913, 30: 68087}, - ("FourOfAKind", 6, 5): {0: 19877, 30: 80123}, - ("FourOfAKind", 6, 6): {0: 11973, 30: 88027}, - ("FourOfAKind", 6, 7): {0: 7324, 30: 92676}, - ("FourOfAKind", 6, 8): {0: 4221, 30: 95779}, - ("FourOfAKind", 7, 0): {0: 100000}, - ("FourOfAKind", 7, 1): {0: 89422, 30: 10578}, - ("FourOfAKind", 7, 2): {0: 57049, 30: 42951}, - ("FourOfAKind", 7, 3): {0: 30903, 30: 69097}, - ("FourOfAKind", 7, 4): {0: 15962, 30: 84038}, - ("FourOfAKind", 7, 5): {0: 8148, 30: 91852}, - ("FourOfAKind", 7, 6): {0: 3943, 30: 96057}, - ("FourOfAKind", 7, 7): {0: 1933, 30: 98067}, - ("FourOfAKind", 7, 8): {0: 912, 30: 99088}, - ("FourOfAKind", 8, 0): {0: 100000}, - ("FourOfAKind", 8, 1): {0: 81614, 30: 18386}, - ("FourOfAKind", 8, 2): {0: 40524, 30: 59476}, - ("FourOfAKind", 8, 3): {0: 17426, 30: 82574}, - ("FourOfAKind", 8, 4): {0: 6958, 30: 93042}, - ("FourOfAKind", 8, 5): {0: 2862, 30: 97138}, - ("FourOfAKind", 8, 6): {0: 1049, 30: 98951}, - ("FourOfAKind", 8, 7): {0: 401, 30: 99599}, - ("FourOfAKind", 8, 8): {0: 156, 30: 99844}, - ("TinyStraight", 0, 0): {0: 100000}, - ("TinyStraight", 0, 1): {0: 100000}, - ("TinyStraight", 0, 2): {0: 100000}, - ("TinyStraight", 0, 3): {0: 100000}, - ("TinyStraight", 0, 4): {0: 100000}, - ("TinyStraight", 0, 5): {0: 100000}, - ("TinyStraight", 0, 6): {0: 100000}, - ("TinyStraight", 0, 7): {0: 100000}, - ("TinyStraight", 0, 8): {0: 100000}, - ("TinyStraight", 1, 0): {0: 100000}, - ("TinyStraight", 1, 1): {0: 100000}, - ("TinyStraight", 1, 2): {0: 100000}, - ("TinyStraight", 1, 3): {0: 100000}, - ("TinyStraight", 1, 4): {0: 100000}, - ("TinyStraight", 1, 5): {0: 100000}, - ("TinyStraight", 1, 6): {0: 100000}, - ("TinyStraight", 1, 7): {0: 100000}, - ("TinyStraight", 1, 8): {0: 100000}, - ("TinyStraight", 2, 0): {0: 100000}, - ("TinyStraight", 2, 1): {0: 100000}, - ("TinyStraight", 2, 2): {0: 100000}, - ("TinyStraight", 2, 3): {0: 100000}, - ("TinyStraight", 2, 4): {0: 100000}, - ("TinyStraight", 2, 5): {0: 100000}, - ("TinyStraight", 2, 6): {0: 100000}, - ("TinyStraight", 2, 7): {0: 100000}, - ("TinyStraight", 2, 8): {0: 100000}, - ("TinyStraight", 3, 0): {0: 100000}, - ("TinyStraight", 3, 1): {0: 91672, 20: 8328}, - ("TinyStraight", 3, 2): {0: 79082, 20: 20918}, - ("TinyStraight", 3, 3): {0: 66490, 20: 33510}, - ("TinyStraight", 3, 4): {0: 55797, 20: 44203}, - ("TinyStraight", 3, 5): {0: 46967, 20: 53033}, - ("TinyStraight", 3, 6): {0: 39595, 20: 60405}, - ("TinyStraight", 3, 7): {0: 33384, 20: 66616}, - ("TinyStraight", 3, 8): {0: 28747, 20: 71253}, - ("TinyStraight", 4, 0): {0: 100000}, - ("TinyStraight", 4, 1): {0: 78812, 20: 21188}, - ("TinyStraight", 4, 2): {0: 55525, 20: 44475}, - ("TinyStraight", 4, 3): {0: 38148, 20: 61852}, - ("TinyStraight", 4, 4): {0: 26432, 20: 73568}, - ("TinyStraight", 4, 5): {0: 18225, 20: 81775}, - ("TinyStraight", 4, 6): {0: 12758, 20: 87242}, - ("TinyStraight", 4, 7): {0: 8991, 20: 91009}, - ("TinyStraight", 4, 8): {0: 6325, 20: 93675}, - ("TinyStraight", 5, 0): {0: 100000}, - ("TinyStraight", 5, 1): {0: 64979, 20: 35021}, - ("TinyStraight", 5, 2): {0: 36509, 20: 63491}, - ("TinyStraight", 5, 3): {0: 20576, 20: 79424}, - ("TinyStraight", 5, 4): {0: 11585, 20: 88415}, - ("TinyStraight", 5, 5): {0: 6874, 20: 93126}, - ("TinyStraight", 5, 6): {0: 3798, 20: 96202}, - ("TinyStraight", 5, 7): {0: 2214, 20: 97786}, - ("TinyStraight", 5, 8): {0: 1272, 20: 98728}, - ("TinyStraight", 6, 0): {0: 100000}, - ("TinyStraight", 6, 1): {0: 52157, 20: 47843}, - ("TinyStraight", 6, 2): {0: 23641, 20: 76359}, - ("TinyStraight", 6, 3): {0: 10883, 20: 89117}, - ("TinyStraight", 6, 4): {0: 5127, 20: 94873}, - ("TinyStraight", 6, 5): {0: 2442, 20: 97558}, - ("TinyStraight", 6, 6): {0: 1158, 20: 98842}, - ("TinyStraight", 6, 7): {0: 542, 20: 99458}, - ("TinyStraight", 6, 8): {0: 252, 20: 99748}, - ("TinyStraight", 7, 0): {0: 100000}, - ("TinyStraight", 7, 1): {0: 41492, 20: 58508}, - ("TinyStraight", 7, 2): {0: 15072, 20: 84928}, - ("TinyStraight", 7, 3): {0: 5905, 20: 94095}, - ("TinyStraight", 7, 4): {0: 2246, 20: 97754}, - ("TinyStraight", 7, 5): {0: 942, 20: 99058}, - ("TinyStraight", 7, 6): {0: 337, 20: 99663}, - ("TinyStraight", 7, 7): {0: 155, 20: 99845}, - ("TinyStraight", 7, 8): {0: 61, 20: 99939}, - ("TinyStraight", 8, 0): {0: 100000}, - ("TinyStraight", 8, 1): {0: 32993, 20: 67007}, - ("TinyStraight", 8, 2): {0: 10074, 20: 89926}, - ("TinyStraight", 8, 3): {0: 3158, 20: 96842}, - ("TinyStraight", 8, 4): {0: 1060, 20: 98940}, - ("TinyStraight", 8, 5): {0: 356, 20: 99644}, - ("TinyStraight", 8, 6): {0: 117, 20: 99883}, - ("TinyStraight", 8, 7): {0: 32, 20: 99968}, - ("TinyStraight", 8, 8): {0: 10, 20: 99990}, - ("SmallStraight", 0, 0): {0: 100000}, - ("SmallStraight", 0, 1): {0: 100000}, - ("SmallStraight", 0, 2): {0: 100000}, - ("SmallStraight", 0, 3): {0: 100000}, - ("SmallStraight", 0, 4): {0: 100000}, - ("SmallStraight", 0, 5): {0: 100000}, - ("SmallStraight", 0, 6): {0: 100000}, - ("SmallStraight", 0, 7): {0: 100000}, - ("SmallStraight", 0, 8): {0: 100000}, - ("SmallStraight", 1, 0): {0: 100000}, - ("SmallStraight", 1, 1): {0: 100000}, - ("SmallStraight", 1, 2): {0: 100000}, - ("SmallStraight", 1, 3): {0: 100000}, - ("SmallStraight", 1, 4): {0: 100000}, - ("SmallStraight", 1, 5): {0: 100000}, - ("SmallStraight", 1, 6): {0: 100000}, - ("SmallStraight", 1, 7): {0: 100000}, - ("SmallStraight", 1, 8): {0: 100000}, - ("SmallStraight", 2, 0): {0: 100000}, - ("SmallStraight", 2, 1): {0: 100000}, - ("SmallStraight", 2, 2): {0: 100000}, - ("SmallStraight", 2, 3): {0: 100000}, - ("SmallStraight", 2, 4): {0: 100000}, - ("SmallStraight", 2, 5): {0: 100000}, - ("SmallStraight", 2, 6): {0: 100000}, - ("SmallStraight", 2, 7): {0: 100000}, - ("SmallStraight", 2, 8): {0: 100000}, - ("SmallStraight", 3, 0): {0: 100000}, - ("SmallStraight", 3, 1): {0: 100000}, - ("SmallStraight", 3, 2): {0: 100000}, - ("SmallStraight", 3, 3): {0: 100000}, - ("SmallStraight", 3, 4): {0: 100000}, - ("SmallStraight", 3, 5): {0: 100000}, - ("SmallStraight", 3, 6): {0: 100000}, - ("SmallStraight", 3, 7): {0: 100000}, - ("SmallStraight", 3, 8): {0: 100000}, - ("SmallStraight", 4, 0): {0: 100000}, - ("SmallStraight", 4, 1): {0: 94516, 30: 5484}, - ("SmallStraight", 4, 2): {0: 82700, 30: 17300}, - ("SmallStraight", 4, 3): {0: 67926, 30: 32074}, - ("SmallStraight", 4, 4): {0: 54265, 30: 45735}, - ("SmallStraight", 4, 5): {0: 42130, 30: 57870}, - ("SmallStraight", 4, 6): {0: 32536, 30: 67464}, - ("SmallStraight", 4, 7): {0: 25008, 30: 74992}, - ("SmallStraight", 4, 8): {0: 19595, 30: 80405}, - ("SmallStraight", 5, 0): {0: 100000}, - ("SmallStraight", 5, 1): {0: 84528, 30: 15472}, - ("SmallStraight", 5, 2): {0: 60775, 30: 39225}, - ("SmallStraight", 5, 3): {0: 39543, 30: 60457}, - ("SmallStraight", 5, 4): {0: 24760, 30: 75240}, - ("SmallStraight", 5, 5): {0: 15713, 30: 84287}, - ("SmallStraight", 5, 6): {0: 10199, 30: 89801}, - ("SmallStraight", 5, 7): {0: 6618, 30: 93382}, - ("SmallStraight", 5, 8): {0: 4205, 30: 95795}, - ("SmallStraight", 6, 0): {0: 100000}, - ("SmallStraight", 6, 1): {0: 73121, 30: 26879}, - ("SmallStraight", 6, 2): {0: 41832, 30: 58168}, - ("SmallStraight", 6, 3): {0: 21949, 30: 78051}, - ("SmallStraight", 6, 4): {0: 11304, 30: 88696}, - ("SmallStraight", 6, 5): {0: 6063, 30: 93937}, - ("SmallStraight", 6, 6): {0: 3362, 30: 96638}, - ("SmallStraight", 6, 7): {0: 1799, 30: 98201}, - ("SmallStraight", 6, 8): {0: 1069, 30: 98931}, - ("SmallStraight", 7, 0): {0: 100000}, - ("SmallStraight", 7, 1): {0: 61837, 30: 38163}, - ("SmallStraight", 7, 2): {0: 28202, 30: 71798}, - ("SmallStraight", 7, 3): {0: 12187, 30: 87813}, - ("SmallStraight", 7, 4): {0: 5427, 30: 94573}, - ("SmallStraight", 7, 5): {0: 2444, 30: 97556}, - ("SmallStraight", 7, 6): {0: 1144, 30: 98856}, - ("SmallStraight", 7, 7): {0: 588, 30: 99412}, - ("SmallStraight", 7, 8): {0: 258, 30: 99742}, - ("SmallStraight", 8, 0): {0: 100000}, - ("SmallStraight", 8, 1): {0: 51394, 30: 48606}, - ("SmallStraight", 8, 2): {0: 19090, 30: 80910}, - ("SmallStraight", 8, 3): {0: 7104, 30: 92896}, - ("SmallStraight", 8, 4): {0: 2645, 30: 97355}, - ("SmallStraight", 8, 5): {0: 1010, 30: 98990}, - ("SmallStraight", 8, 6): {0: 408, 30: 99592}, - ("SmallStraight", 8, 7): {0: 153, 30: 99847}, - ("SmallStraight", 8, 8): {0: 78, 30: 99922}, - ("LargeStraight", 0, 0): {0: 100000}, - ("LargeStraight", 0, 1): {0: 100000}, - ("LargeStraight", 0, 2): {0: 100000}, - ("LargeStraight", 0, 3): {0: 100000}, - ("LargeStraight", 0, 4): {0: 100000}, - ("LargeStraight", 0, 5): {0: 100000}, - ("LargeStraight", 0, 6): {0: 100000}, - ("LargeStraight", 0, 7): {0: 100000}, - ("LargeStraight", 0, 8): {0: 100000}, - ("LargeStraight", 1, 0): {0: 100000}, - ("LargeStraight", 1, 1): {0: 100000}, - ("LargeStraight", 1, 2): {0: 100000}, - ("LargeStraight", 1, 3): {0: 100000}, - ("LargeStraight", 1, 4): {0: 100000}, - ("LargeStraight", 1, 5): {0: 100000}, - ("LargeStraight", 1, 6): {0: 100000}, - ("LargeStraight", 1, 7): {0: 100000}, - ("LargeStraight", 1, 8): {0: 100000}, - ("LargeStraight", 2, 0): {0: 100000}, - ("LargeStraight", 2, 1): {0: 100000}, - ("LargeStraight", 2, 2): {0: 100000}, - ("LargeStraight", 2, 3): {0: 100000}, - ("LargeStraight", 2, 4): {0: 100000}, - ("LargeStraight", 2, 5): {0: 100000}, - ("LargeStraight", 2, 6): {0: 100000}, - ("LargeStraight", 2, 7): {0: 100000}, - ("LargeStraight", 2, 8): {0: 100000}, - ("LargeStraight", 3, 0): {0: 100000}, - ("LargeStraight", 3, 1): {0: 100000}, - ("LargeStraight", 3, 2): {0: 100000}, - ("LargeStraight", 3, 3): {0: 100000}, - ("LargeStraight", 3, 4): {0: 100000}, - ("LargeStraight", 3, 5): {0: 100000}, - ("LargeStraight", 3, 6): {0: 100000}, - ("LargeStraight", 3, 7): {0: 100000}, - ("LargeStraight", 3, 8): {0: 100000}, - ("LargeStraight", 4, 0): {0: 100000}, - ("LargeStraight", 4, 1): {0: 100000}, - ("LargeStraight", 4, 2): {0: 100000}, - ("LargeStraight", 4, 3): {0: 100000}, - ("LargeStraight", 4, 4): {0: 100000}, - ("LargeStraight", 4, 5): {0: 100000}, - ("LargeStraight", 4, 6): {0: 100000}, - ("LargeStraight", 4, 7): {0: 100000}, - ("LargeStraight", 4, 8): {0: 100000}, - ("LargeStraight", 5, 0): {0: 100000}, - ("LargeStraight", 5, 1): {0: 96929, 40: 3071}, - ("LargeStraight", 5, 2): {0: 87056, 40: 12944}, - ("LargeStraight", 5, 3): {0: 75101, 40: 24899}, - ("LargeStraight", 5, 4): {0: 63617, 40: 36383}, - ("LargeStraight", 5, 5): {0: 53149, 40: 46851}, - ("LargeStraight", 5, 6): {0: 44321, 40: 55679}, - ("LargeStraight", 5, 7): {0: 36948, 40: 63052}, - ("LargeStraight", 5, 8): {0: 30661, 40: 69339}, - ("LargeStraight", 6, 0): {0: 100000}, - ("LargeStraight", 6, 1): {0: 90756, 40: 9244}, - ("LargeStraight", 6, 2): {0: 69805, 40: 30195}, - ("LargeStraight", 6, 3): {0: 49814, 40: 50186}, - ("LargeStraight", 6, 4): {0: 35102, 40: 64898}, - ("LargeStraight", 6, 5): {0: 24385, 40: 75615}, - ("LargeStraight", 6, 6): {0: 17018, 40: 82982}, - ("LargeStraight", 6, 7): {0: 11739, 40: 88261}, - ("LargeStraight", 6, 8): {0: 7972, 40: 92028}, - ("LargeStraight", 7, 0): {0: 100000}, - ("LargeStraight", 7, 1): {0: 82840, 40: 17160}, - ("LargeStraight", 7, 2): {0: 52821, 40: 47179}, - ("LargeStraight", 7, 3): {0: 31348, 40: 68652}, - ("LargeStraight", 7, 4): {0: 18166, 40: 81834}, - ("LargeStraight", 7, 5): {0: 10690, 40: 89310}, - ("LargeStraight", 7, 6): {0: 6051, 40: 93949}, - ("LargeStraight", 7, 7): {0: 3617, 40: 96383}, - ("LargeStraight", 7, 8): {0: 1941, 40: 98059}, - ("LargeStraight", 8, 0): {0: 100000}, - ("LargeStraight", 8, 1): {0: 73520, 40: 26480}, - ("LargeStraight", 8, 2): {0: 39031, 40: 60969}, - ("LargeStraight", 8, 3): {0: 19156, 40: 80844}, - ("LargeStraight", 8, 4): {0: 9304, 40: 90696}, - ("LargeStraight", 8, 5): {0: 4420, 40: 95580}, - ("LargeStraight", 8, 6): {0: 2141, 40: 97859}, - ("LargeStraight", 8, 7): {0: 1037, 40: 98963}, - ("LargeStraight", 8, 8): {0: 511, 40: 99489}, - ("FullHouse", 0, 0): {0: 100000}, - ("FullHouse", 0, 1): {0: 100000}, - ("FullHouse", 0, 2): {0: 100000}, - ("FullHouse", 0, 3): {0: 100000}, - ("FullHouse", 0, 4): {0: 100000}, - ("FullHouse", 0, 5): {0: 100000}, - ("FullHouse", 0, 6): {0: 100000}, - ("FullHouse", 0, 7): {0: 100000}, - ("FullHouse", 0, 8): {0: 100000}, - ("FullHouse", 1, 0): {0: 100000}, - ("FullHouse", 1, 1): {0: 100000}, - ("FullHouse", 1, 2): {0: 100000}, - ("FullHouse", 1, 3): {0: 100000}, - ("FullHouse", 1, 4): {0: 100000}, - ("FullHouse", 1, 5): {0: 100000}, - ("FullHouse", 1, 6): {0: 100000}, - ("FullHouse", 1, 7): {0: 100000}, - ("FullHouse", 1, 8): {0: 100000}, - ("FullHouse", 2, 0): {0: 100000}, - ("FullHouse", 2, 1): {0: 100000}, - ("FullHouse", 2, 2): {0: 100000}, - ("FullHouse", 2, 3): {0: 100000}, - ("FullHouse", 2, 4): {0: 100000}, - ("FullHouse", 2, 5): {0: 100000}, - ("FullHouse", 2, 6): {0: 100000}, - ("FullHouse", 2, 7): {0: 100000}, - ("FullHouse", 2, 8): {0: 100000}, - ("FullHouse", 3, 0): {0: 100000}, - ("FullHouse", 3, 1): {0: 100000}, - ("FullHouse", 3, 2): {0: 100000}, - ("FullHouse", 3, 3): {0: 100000}, - ("FullHouse", 3, 4): {0: 100000}, - ("FullHouse", 3, 5): {0: 100000}, - ("FullHouse", 3, 6): {0: 100000}, - ("FullHouse", 3, 7): {0: 100000}, - ("FullHouse", 3, 8): {0: 100000}, - ("FullHouse", 4, 0): {0: 100000}, - ("FullHouse", 4, 1): {0: 100000}, - ("FullHouse", 4, 2): {0: 100000}, - ("FullHouse", 4, 3): {0: 100000}, - ("FullHouse", 4, 4): {0: 100000}, - ("FullHouse", 4, 5): {0: 100000}, - ("FullHouse", 4, 6): {0: 100000}, - ("FullHouse", 4, 7): {0: 100000}, - ("FullHouse", 4, 8): {0: 100000}, - ("FullHouse", 5, 0): {0: 100000}, - ("FullHouse", 5, 1): {0: 96155, 25: 3845}, - ("FullHouse", 5, 2): {0: 81391, 25: 18609}, - ("FullHouse", 5, 3): {0: 64300, 25: 35700}, - ("FullHouse", 5, 4): {0: 49669, 25: 50331}, - ("FullHouse", 5, 5): {0: 38019, 25: 61981}, - ("FullHouse", 5, 6): {0: 29751, 25: 70249}, - ("FullHouse", 5, 7): {0: 22960, 25: 77040}, - ("FullHouse", 5, 8): {0: 18650, 25: 81350}, - ("FullHouse", 6, 0): {0: 100000}, - ("FullHouse", 6, 1): {0: 82989, 25: 17011}, - ("FullHouse", 6, 2): {0: 47153, 25: 52847}, - ("FullHouse", 6, 3): {0: 24151, 25: 75849}, - ("FullHouse", 6, 4): {0: 12519, 25: 87481}, - ("FullHouse", 6, 5): {0: 6524, 25: 93476}, - ("FullHouse", 6, 6): {0: 3606, 25: 96394}, - ("FullHouse", 6, 7): {0: 1959, 25: 98041}, - ("FullHouse", 6, 8): {0: 1026, 25: 98974}, - ("FullHouse", 7, 0): {0: 100000}, - ("FullHouse", 7, 1): {0: 60232, 25: 39768}, - ("FullHouse", 7, 2): {0: 18894, 25: 81106}, - ("FullHouse", 7, 3): {0: 5682, 25: 94318}, - ("FullHouse", 7, 4): {0: 1706, 25: 98294}, - ("FullHouse", 7, 5): {0: 522, 25: 99478}, - ("FullHouse", 7, 6): {0: 146, 25: 99854}, - ("FullHouse", 7, 7): {0: 54, 25: 99946}, - ("FullHouse", 7, 8): {0: 18, 25: 99982}, - ("FullHouse", 8, 0): {0: 100000}, - ("FullHouse", 8, 1): {0: 35909, 25: 64091}, - ("FullHouse", 8, 2): {0: 5712, 25: 94288}, - ("FullHouse", 8, 3): {0: 930, 25: 99070}, - ("FullHouse", 8, 4): {0: 165, 25: 99835}, - ("FullHouse", 8, 5): {0: 19, 25: 99981}, - ("FullHouse", 8, 6): {0: 6, 25: 99994}, - ("FullHouse", 8, 7): {25: 100000}, - ("FullHouse", 8, 8): {25: 100000}, - ("Yacht", 0, 0): {0: 100000}, - ("Yacht", 0, 1): {0: 100000}, - ("Yacht", 0, 2): {0: 100000}, - ("Yacht", 0, 3): {0: 100000}, - ("Yacht", 0, 4): {0: 100000}, - ("Yacht", 0, 5): {0: 100000}, - ("Yacht", 0, 6): {0: 100000}, - ("Yacht", 0, 7): {0: 100000}, - ("Yacht", 0, 8): {0: 100000}, - ("Yacht", 1, 0): {0: 100000}, - ("Yacht", 1, 1): {0: 100000}, - ("Yacht", 1, 2): {0: 100000}, - ("Yacht", 1, 3): {0: 100000}, - ("Yacht", 1, 4): {0: 100000}, - ("Yacht", 1, 5): {0: 100000}, - ("Yacht", 1, 6): {0: 100000}, - ("Yacht", 1, 7): {0: 100000}, - ("Yacht", 1, 8): {0: 100000}, - ("Yacht", 2, 0): {0: 100000}, - ("Yacht", 2, 1): {0: 100000}, - ("Yacht", 2, 2): {0: 100000}, - ("Yacht", 2, 3): {0: 100000}, - ("Yacht", 2, 4): {0: 100000}, - ("Yacht", 2, 5): {0: 100000}, - ("Yacht", 2, 6): {0: 100000}, - ("Yacht", 2, 7): {0: 100000}, - ("Yacht", 2, 8): {0: 100000}, - ("Yacht", 3, 0): {0: 100000}, - ("Yacht", 3, 1): {0: 100000}, - ("Yacht", 3, 2): {0: 100000}, - ("Yacht", 3, 3): {0: 100000}, - ("Yacht", 3, 4): {0: 100000}, - ("Yacht", 3, 5): {0: 100000}, - ("Yacht", 3, 6): {0: 100000}, - ("Yacht", 3, 7): {0: 100000}, - ("Yacht", 3, 8): {0: 100000}, - ("Yacht", 4, 0): {0: 100000}, - ("Yacht", 4, 1): {0: 100000}, - ("Yacht", 4, 2): {0: 100000}, - ("Yacht", 4, 3): {0: 100000}, - ("Yacht", 4, 4): {0: 100000}, - ("Yacht", 4, 5): {0: 100000}, - ("Yacht", 4, 6): {0: 100000}, - ("Yacht", 4, 7): {0: 100000}, - ("Yacht", 4, 8): {0: 100000}, - ("Yacht", 5, 0): {0: 100000}, - ("Yacht", 5, 1): {0: 100000}, - ("Yacht", 5, 2): {0: 98727, 50: 1273}, - ("Yacht", 5, 3): {0: 95347, 50: 4653}, - ("Yacht", 5, 4): {0: 89969, 50: 10031}, - ("Yacht", 5, 5): {0: 83124, 50: 16876}, - ("Yacht", 5, 6): {0: 75023, 50: 24977}, - ("Yacht", 5, 7): {0: 67007, 50: 32993}, - ("Yacht", 5, 8): {0: 58618, 50: 41382}, - ("Yacht", 6, 0): {0: 100000}, - ("Yacht", 6, 1): {0: 99571, 50: 429}, - ("Yacht", 6, 2): {0: 94726, 50: 5274}, - ("Yacht", 6, 3): {0: 84366, 50: 15634}, - ("Yacht", 6, 4): {0: 70782, 50: 29218}, - ("Yacht", 6, 5): {0: 56573, 50: 43427}, - ("Yacht", 6, 6): {0: 44206, 50: 55794}, - ("Yacht", 6, 7): {0: 33578, 50: 66422}, - ("Yacht", 6, 8): {0: 25079, 50: 74921}, - ("Yacht", 7, 0): {0: 100000}, - ("Yacht", 7, 1): {0: 98833, 50: 1167}, - ("Yacht", 7, 2): {0: 87511, 50: 12489}, - ("Yacht", 7, 3): {0: 68252, 50: 31748}, - ("Yacht", 7, 4): {0: 49065, 50: 50935}, - ("Yacht", 7, 5): {0: 33364, 50: 66636}, - ("Yacht", 7, 6): {0: 21483, 50: 78517}, - ("Yacht", 7, 7): {0: 13597, 50: 86403}, - ("Yacht", 7, 8): {0: 8483, 50: 91517}, - ("Yacht", 8, 0): {0: 100000}, - ("Yacht", 8, 1): {0: 97212, 50: 2788}, - ("Yacht", 8, 2): {0: 76962, 50: 23038}, - ("Yacht", 8, 3): {0: 50533, 50: 49467}, - ("Yacht", 8, 4): {0: 29981, 50: 70019}, - ("Yacht", 8, 5): {0: 16776, 50: 83224}, - ("Yacht", 8, 6): {0: 9079, 50: 90921}, - ("Yacht", 8, 7): {0: 4705, 50: 95295}, - ("Yacht", 8, 8): {0: 2363, 50: 97637}, - ("Distincts", 1, 1): {1: 100000}, - ("Distincts", 1, 2): {1: 100000}, - ("Distincts", 1, 3): {1: 100000}, - ("Distincts", 1, 4): {1: 100000}, - ("Distincts", 1, 5): {1: 100000}, - ("Distincts", 1, 6): {1: 100000}, - ("Distincts", 1, 7): {1: 100000}, - ("Distincts", 1, 8): {1: 100000}, - ("Distincts", 2, 1): {1: 16804, 2: 83196}, - ("Distincts", 2, 2): {1: 2686, 2: 97314}, - ("Distincts", 2, 3): {1: 463, 2: 99537}, - ("Distincts", 2, 4): {1: 66, 2: 99934}, - ("Distincts", 2, 5): {1: 11, 2: 99989}, - ("Distincts", 2, 6): {1: 1, 2: 99999}, - ("Distincts", 2, 7): {2: 100000}, - ("Distincts", 2, 8): {2: 100000}, - ("Distincts", 3, 1): {1: 2760, 2: 41714, 3: 55526}, - ("Distincts", 3, 2): {1: 78, 2: 14936, 3: 84986}, - ("Distincts", 3, 3): {1: 4866, 3: 95134}, - ("Distincts", 3, 4): {2: 1659, 3: 98341}, - ("Distincts", 3, 5): {2: 575, 3: 99425}, - ("Distincts", 3, 6): {2: 200, 3: 99800}, - ("Distincts", 3, 7): {2: 69, 3: 99931}, - ("Distincts", 3, 8): {2: 22, 3: 99978}, - ("Distincts", 4, 1): {1: 494, 2: 16140, 3: 55471, 4: 27895}, - ("Distincts", 4, 2): {1: 1893, 3: 36922, 4: 61185}, - ("Distincts", 4, 3): {2: 230, 3: 19631, 4: 80139}, - ("Distincts", 4, 4): {2: 21, 3: 9858, 4: 90121}, - ("Distincts", 4, 5): {2: 4906, 4: 95094}, - ("Distincts", 4, 6): {3: 2494, 4: 97506}, - ("Distincts", 4, 7): {3: 1297, 4: 98703}, - ("Distincts", 4, 8): {3: 611, 4: 99389}, - ("Distincts", 5, 1): {1: 5798, 3: 38538, 4: 46379, 5: 9285}, - ("Distincts", 5, 2): {2: 196, 3: 11647, 4: 56472, 5: 31685}, - ("Distincts", 5, 3): {2: 3022, 4: 44724, 5: 52254}, - ("Distincts", 5, 4): {3: 722, 4: 31632, 5: 67646}, - ("Distincts", 5, 5): {3: 215, 4: 21391, 5: 78394}, - ("Distincts", 5, 6): {3: 55, 4: 14470, 5: 85475}, - ("Distincts", 5, 7): {3: 15, 4: 9645, 5: 90340}, - ("Distincts", 5, 8): {3: 6463, 5: 93537}, - ("Distincts", 6, 1): {1: 2027, 3: 22985, 4: 50464, 5: 24524}, - ("Distincts", 6, 2): {2: 3299, 4: 35174, 5: 52573, 6: 8954}, - ("Distincts", 6, 3): {3: 417, 4: 17376, 5: 62578, 6: 19629}, - ("Distincts", 6, 4): {3: 44, 4: 7787, 5: 61029, 6: 31140}, - ("Distincts", 6, 5): {3: 3699, 5: 54997, 6: 41304}, - ("Distincts", 6, 6): {4: 1557, 5: 47225, 6: 51218}, - ("Distincts", 6, 7): {4: 728, 5: 40465, 6: 58807}, - ("Distincts", 6, 8): {4: 321, 5: 33851, 6: 65828}, - ("Distincts", 7, 1): {1: 665, 3: 13006, 4: 44964, 5: 41365}, - ("Distincts", 7, 2): {2: 839, 4: 18847, 5: 56731, 6: 23583}, - ("Distincts", 7, 3): {3: 6051, 5: 50312, 6: 43637}, - ("Distincts", 7, 4): {3: 1796, 5: 38393, 6: 59811}, - ("Distincts", 7, 5): {4: 529, 5: 27728, 6: 71743}, - ("Distincts", 7, 6): {4: 164, 5: 19417, 6: 80419}, - ("Distincts", 7, 7): {4: 53, 5: 13565, 6: 86382}, - ("Distincts", 7, 8): {4: 14, 5: 9531, 6: 90455}, - ("Distincts", 8, 1): {1: 198, 3: 6939, 4: 36582, 5: 44977, 6: 11304}, - ("Distincts", 8, 2): {2: 233, 4: 9181, 5: 50783, 6: 39803}, - ("Distincts", 8, 3): {3: 1976, 5: 34748, 6: 63276}, - ("Distincts", 8, 4): {4: 389, 5: 21008, 6: 78603}, - ("Distincts", 8, 5): {4: 78, 5: 12514, 6: 87408}, - ("Distincts", 8, 6): {4: 18, 5: 7159, 6: 92823}, - ("Distincts", 8, 7): {4: 4179, 6: 95821}, - ("Distincts", 8, 8): {5: 2440, 6: 97560}, - ("TwosAndThrees", 1, 1): {0: 66466, 2: 16929, 3: 16605}, - ("TwosAndThrees", 1, 2): {0: 55640, 2: 13812, 3: 30548}, - ("TwosAndThrees", 1, 3): {0: 46223, 2: 11599, 3: 42178}, - ("TwosAndThrees", 1, 4): {0: 38552, 2: 9618, 3: 51830}, - ("TwosAndThrees", 1, 5): {0: 32320, 2: 7974, 3: 59706}, - ("TwosAndThrees", 1, 6): {0: 26733, 2: 6684, 3: 66583}, - ("TwosAndThrees", 1, 7): {0: 22289, 2: 5563, 3: 72148}, - ("TwosAndThrees", 1, 8): {0: 18676, 2: 4688, 3: 76636}, - ("TwosAndThrees", 2, 1): {0: 44565, 2: 21965, 3: 25172, 5: 8298}, - ("TwosAndThrees", 2, 2): {0: 30855, 2: 15480, 3: 35949, 5: 8278, 6: 9438}, - ("TwosAndThrees", 2, 3): {0: 21509, 2: 10838, 3: 40340, 5: 9727, 6: 17586}, - ("TwosAndThrees", 2, 4): {0: 14935, 2: 7489, 3: 41092, 5: 9825, 6: 26659}, - ("TwosAndThrees", 2, 5): {0: 10492, 2: 5169, 3: 39087, 5: 9671, 6: 35581}, - ("TwosAndThrees", 2, 6): {0: 7185, 2: 3590, 3: 35936, 5: 8994, 6: 44295}, - ("TwosAndThrees", 2, 7): {0: 7375, 3: 32469, 5: 8139, 6: 52017}, - ("TwosAndThrees", 2, 8): {0: 5212, 3: 28436, 5: 7294, 6: 59058}, - ("TwosAndThrees", 3, 1): {0: 29892, 2: 22136, 3: 27781, 5: 11005, 6: 9186}, - ("TwosAndThrees", 3, 2): {0: 17285, 2: 12757, 3: 31500, 5: 14092, 6: 17552, 8: 6814}, - ("TwosAndThrees", 3, 3): {0: 9889, 2: 7547, 3: 28958, 5: 13522, 6: 24863, 7: 7881, 9: 7340}, - ("TwosAndThrees", 3, 4): {0: 5717, 2: 4245, 3: 24072, 5: 11617, 6: 32865, 8: 7719, 9: 13765}, - ("TwosAndThrees", 3, 5): {0: 5795, 3: 19123, 5: 9296, 6: 35708, 8: 8683, 9: 21395}, - ("TwosAndThrees", 3, 6): {0: 3273, 3: 14740, 5: 7148, 6: 36387, 8: 8820, 9: 29632}, - ("TwosAndThrees", 3, 7): {0: 1917, 3: 16239, 6: 35604, 8: 8739, 9: 37501}, - ("TwosAndThrees", 3, 8): {0: 1124, 3: 12222, 6: 33537, 8: 8018, 9: 45099}, - ("TwosAndThrees", 4, 1): {0: 19619, 2: 19764, 3: 19811, 4: 7306, 5: 14893, 6: 8721, 7: 9886}, - ("TwosAndThrees", 4, 2): {0: 9395, 2: 9519, 3: 24407, 5: 15873, 6: 21959, 8: 8667, 9: 10180}, - ("TwosAndThrees", 4, 3): {0: 4538, 2: 4676, 3: 18292, 5: 12541, 6: 26350, 8: 11445, 9: 15471, 11: 6687}, - ("TwosAndThrees", 4, 4): {0: 4402, 3: 12654, 5: 9096, 6: 26469, 8: 11841, 9: 21496, 10: 6859, 12: 7183}, - ("TwosAndThrees", 4, 5): {0: 2065, 3: 14351, 6: 23592, 8: 11169, 9: 29121, 11: 6926, 12: 12776}, - ("TwosAndThrees", 4, 6): {0: 1044, 3: 9056, 6: 20013, 8: 9649, 9: 32849, 11: 7894, 12: 19495}, - ("TwosAndThrees", 4, 7): {0: 224, 2: 6086, 6: 16140, 8: 7881, 9: 34297, 11: 8601, 12: 26771}, - ("TwosAndThrees", 4, 8): {0: 123, 2: 3571, 6: 18611, 9: 34441, 11: 8379, 12: 34875}, - ("TwosAndThrees", 5, 1): {0: 13070, 2: 16414, 3: 16607, 4: 8172, 5: 16396, 6: 16417, 8: 12924}, - ("TwosAndThrees", 5, 2): {0: 5213, 2: 6515, 3: 17760, 5: 14763, 6: 22403, 8: 12090, 9: 12656, 11: 8600}, - ("TwosAndThrees", 5, 3): {0: 4707, 3: 10959, 5: 9700, 6: 21688, 8: 13214, 9: 20051, 11: 8066, 12: 11615}, - ("TwosAndThrees", 5, 4): {0: 1934, 3: 12081, 6: 17567, 8: 11579, 9: 23703, 11: 10468, 12: 15422, 14: 7246}, - ("TwosAndThrees", 5, 5): {0: 781, 3: 6624, 6: 13268, 8: 8829, 9: 24445, 11: 11126, 12: 20783, 13: 6512, 15: 7632}, - ("TwosAndThrees", 5, 6): {0: 123, 2: 3622, 6: 9065, 8: 6610, 9: 22902, 11: 10593, 12: 27521, 14: 6551, 15: 13013}, - ("TwosAndThrees", 5, 7): {0: 1969, 6: 10700, 9: 19759, 11: 9332, 12: 31332, 14: 7512, 15: 19396}, - ("TwosAndThrees", 5, 8): {0: 986, 6: 6740, 9: 16186, 11: 7771, 12: 33474, 14: 7963, 15: 26880}, - ("TwosAndThrees", 6, 1): {0: 8955, 2: 13135, 3: 13212, 4: 8191, 5: 16659, 6: 10713, 7: 8276, 8: 13500, 10: 7359}, - ("TwosAndThrees", 6, 2): {0: 2944, 2: 4382, 3: 12512, 5: 11978, 6: 20178, 8: 13344, 9: 16448, 11: 7676, 12: 10538}, - ("TwosAndThrees", 6, 3): {0: 977, 2: 7869, 5: 6758, 6: 15999, 8: 12211, 9: 20060, 11: 11208, 12: 13690, 14: 11228}, - ("TwosAndThrees", 6, 4): {0: 320, 2: 6913, 6: 10814, 8: 9036, 9: 19586, 11: 12021, 12: 19316, 14: 8216, 15: 13778}, - ("TwosAndThrees", 6, 5): { - 0: 1610, - 5: 7206, - 7: 6521, - 9: 16495, - 11: 10563, - 12: 23042, - 14: 10049, - 15: 16281, - 17: 8233, - }, - ("TwosAndThrees", 6, 6): { - 0: 1362, - 6: 7145, - 9: 12670, - 11: 8492, - 12: 23467, - 14: 10649, - 15: 21066, - 16: 6581, - 18: 8568, - }, - ("TwosAndThrees", 6, 7): {0: 14, 2: 4631, 9: 8281, 10: 6929, 12: 21906, 14: 10107, 15: 27360, 17: 6654, 18: 14118}, - ("TwosAndThrees", 6, 8): {0: 2367, 9: 10679, 12: 18916, 14: 8991, 15: 31012, 17: 7602, 18: 20433}, - ("TwosAndThrees", 7, 1): { - 0: 5802, - 2: 10380, - 3: 10100, - 4: 7689, - 5: 15384, - 6: 11027, - 7: 9559, - 8: 10304, - 9: 11306, - 11: 8449, - }, - ("TwosAndThrees", 7, 2): {0: 4415, 3: 8457, 5: 9442, 6: 17093, 8: 13172, 9: 18066, 11: 9919, 12: 10454, 14: 8982}, - ("TwosAndThrees", 7, 3): { - 0: 1263, - 3: 7779, - 6: 10929, - 8: 10013, - 9: 18045, - 11: 12133, - 12: 16767, - 14: 8279, - 15: 6674, - 16: 8118, - }, - ("TwosAndThrees", 7, 4): { - 0: 1713, - 5: 6723, - 7: 7190, - 9: 14001, - 11: 11007, - 12: 19307, - 14: 10700, - 15: 12396, - 16: 8577, - 18: 8386, - }, - ("TwosAndThrees", 7, 5): {0: 621, 5: 6879, 9: 9808, 11: 8026, 12: 18172, 14: 11317, 15: 20071, 17: 8259, 18: 16847}, - ("TwosAndThrees", 7, 6): {0: 9, 2: 3545, 9: 11611, 12: 15116, 14: 10114, 15: 22387, 17: 9948, 18: 17576, 20: 9694}, - ("TwosAndThrees", 7, 7): { - 0: 1582, - 9: 6971, - 12: 11911, - 14: 7969, - 15: 22333, - 17: 10123, - 18: 22122, - 19: 6876, - 21: 10113, - }, - ("TwosAndThrees", 7, 8): {0: 31, 5: 4682, 12: 7854, 13: 6592, 15: 20934, 17: 9621, 18: 27839, 20: 6667, 21: 15780}, - ("TwosAndThrees", 8, 1): { - 0: 3799, - 2: 7917, - 3: 7840, - 4: 6794, - 5: 13610, - 6: 10144, - 7: 10309, - 8: 11477, - 9: 7504, - 10: 11990, - 12: 8616, - }, - ("TwosAndThrees", 8, 2): { - 0: 902, - 2: 7460, - 5: 6900, - 6: 13750, - 8: 11961, - 9: 10605, - 10: 7327, - 11: 11041, - 12: 8197, - 13: 11532, - 15: 10325, - }, - ("TwosAndThrees", 8, 3): { - 0: 201, - 2: 5037, - 6: 7036, - 8: 7389, - 9: 14414, - 11: 11338, - 12: 17189, - 14: 10523, - 15: 8898, - 16: 9521, - 18: 8454, - }, - ("TwosAndThrees", 8, 4): { - 0: 1617, - 6: 6867, - 9: 9271, - 11: 8286, - 12: 16078, - 14: 11359, - 15: 17352, - 17: 9133, - 18: 10960, - 20: 9077, - }, - ("TwosAndThrees", 8, 5): { - 0: 16, - 2: 3585, - 9: 10269, - 12: 12458, - 14: 9578, - 15: 18439, - 17: 10743, - 18: 16800, - 20: 6621, - 21: 11491, - }, - ("TwosAndThrees", 8, 6): { - 0: 170, - 6: 6891, - 12: 8548, - 14: 7037, - 15: 16817, - 17: 10618, - 18: 20331, - 20: 8749, - 21: 13840, - 23: 6999, - }, - ("TwosAndThrees", 8, 7): {0: 1, 2: 3335, 12: 10227, 15: 14149, 17: 8935, 18: 22220, 20: 9757, 21: 24071, 24: 7305}, - ("TwosAndThrees", 8, 8): { - 3: 795, - 11: 6938, - 15: 10708, - 17: 7289, - 18: 21517, - 20: 10020, - 21: 23586, - 22: 7035, - 24: 12112, - }, - ("SumOfOdds", 1, 1): {0: 50084, 1: 16488, 3: 16584, 5: 16844}, - ("SumOfOdds", 1, 2): {0: 33472, 1: 11017, 3: 27886, 5: 27625}, - ("SumOfOdds", 1, 3): {0: 27892, 1: 9293, 3: 23006, 5: 39809}, - ("SumOfOdds", 1, 4): {0: 23060, 1: 7857, 3: 19299, 5: 49784}, - ("SumOfOdds", 1, 5): {0: 19333, 1: 6559, 3: 15941, 5: 58167}, - ("SumOfOdds", 1, 6): {0: 21678, 3: 13224, 5: 65098}, - ("SumOfOdds", 1, 7): {0: 17840, 3: 11191, 5: 70969}, - ("SumOfOdds", 1, 8): {0: 14690, 3: 9361, 5: 75949}, - ("SumOfOdds", 2, 1): {0: 24611, 1: 19615, 3: 22234, 5: 16856, 6: 8312, 8: 8372}, - ("SumOfOdds", 2, 2): {0: 11216, 1: 8605, 3: 24576, 5: 18558, 6: 13858, 8: 15414, 10: 7773}, - ("SumOfOdds", 2, 3): {0: 13730, 3: 17055, 5: 22224, 6: 12709, 8: 18363, 10: 15919}, - ("SumOfOdds", 2, 4): {0: 9599, 3: 11842, 5: 23132, 6: 11358, 8: 19129, 10: 24940}, - ("SumOfOdds", 2, 5): {0: 6652, 3: 8296, 5: 22529, 6: 10020, 8: 18712, 10: 33791}, - ("SumOfOdds", 2, 6): {0: 2606, 1: 7798, 5: 20970, 6: 8852, 8: 17272, 10: 42502}, - ("SumOfOdds", 2, 7): {0: 7262, 5: 19160, 6: 7664, 8: 15860, 10: 50054}, - ("SumOfOdds", 2, 8): {0: 4950, 5: 23253, 8: 14179, 10: 57618}, - ("SumOfOdds", 3, 1): {0: 12467, 1: 16736, 3: 12861, 4: 8109, 5: 13902, 6: 15350, 8: 11660, 10: 8915}, - ("SumOfOdds", 3, 2): {0: 8635, 3: 15579, 5: 10240, 6: 17409, 8: 15592, 9: 7284, 10: 7709, 11: 9070, 13: 8482}, - ("SumOfOdds", 3, 3): {0: 5022, 3: 9030, 5: 9729, 6: 13308, 8: 21631, 10: 13273, 11: 10759, 13: 11044, 15: 6204}, - ("SumOfOdds", 3, 4): {0: 1265, 1: 6995, 5: 8380, 6: 9575, 8: 18530, 10: 17343, 11: 11288, 13: 14216, 15: 12408}, - ("SumOfOdds", 3, 5): {0: 4685, 5: 6682, 6: 7181, 8: 14915, 10: 19378, 11: 10985, 13: 16370, 15: 19804}, - ("SumOfOdds", 3, 6): {0: 2766, 5: 10213, 8: 11372, 10: 20496, 11: 10472, 13: 17133, 15: 27548}, - ("SumOfOdds", 3, 7): {0: 1481, 5: 7510, 8: 8659, 10: 20125, 11: 9495, 13: 16763, 15: 35967}, - ("SumOfOdds", 3, 8): {0: 5934, 7: 6737, 10: 19242, 11: 8430, 13: 16221, 15: 43436}, - ("SumOfOdds", 4, 1): {0: 6192, 1: 12678, 3: 9225, 4: 8433, 5: 11215, 6: 18550, 8: 15591, 10: 10624, 12: 7492}, - ("SumOfOdds", 4, 2): { - 0: 1267, - 1: 6707, - 4: 9562, - 6: 14395, - 8: 11060, - 9: 9721, - 10: 7201, - 11: 15953, - 13: 8342, - 14: 8226, - 16: 7566, - }, - ("SumOfOdds", 4, 3): { - 0: 1778, - 3: 8154, - 6: 8780, - 8: 9018, - 9: 7238, - 10: 8843, - 11: 15464, - 13: 18030, - 15: 7108, - 16: 7373, - 18: 8214, - }, - ("SumOfOdds", 4, 4): { - 0: 2774, - 5: 7977, - 8: 11182, - 10: 8758, - 11: 13239, - 13: 19483, - 15: 11453, - 16: 9426, - 18: 9512, - 20: 6196, - }, - ("SumOfOdds", 4, 5): {0: 6619, 8: 7280, 10: 8159, 11: 10515, 13: 17578, 15: 15171, 16: 10401, 18: 12704, 20: 11573}, - ("SumOfOdds", 4, 6): {0: 1748, 6: 6729, 10: 7130, 11: 8103, 13: 15290, 15: 17784, 16: 10571, 18: 14865, 20: 17780}, - ("SumOfOdds", 4, 7): {0: 5048, 10: 11824, 13: 12343, 15: 19254, 16: 10290, 18: 15947, 20: 25294}, - ("SumOfOdds", 4, 8): {0: 3060, 10: 8747, 13: 9912, 15: 19503, 16: 9512, 18: 16250, 20: 33016}, - ("SumOfOdds", 5, 1): { - 0: 8257, - 2: 9820, - 4: 7062, - 5: 8737, - 6: 11185, - 7: 7013, - 8: 8879, - 9: 14795, - 11: 7319, - 12: 7825, - 14: 9108, - }, - ("SumOfOdds", 5, 2): { - 0: 1599, - 3: 7043, - 6: 9517, - 8: 6951, - 9: 14666, - 11: 10285, - 12: 6880, - 13: 8344, - 14: 13337, - 16: 7538, - 17: 7051, - 19: 6789, - }, - ("SumOfOdds", 5, 3): { - 0: 3881, - 6: 9272, - 9: 10300, - 11: 13443, - 13: 9355, - 14: 8325, - 15: 6633, - 16: 13969, - 18: 12915, - 20: 7968, - 23: 3939, - }, - ("SumOfOdds", 5, 4): { - 0: 246, - 3: 6652, - 9: 6971, - 11: 9124, - 13: 8276, - 14: 6799, - 15: 8218, - 16: 13970, - 18: 16440, - 20: 7264, - 21: 7049, - 23: 8991, - }, - ("SumOfOdds", 5, 5): { - 0: 4997, - 10: 9128, - 13: 11376, - 15: 8283, - 16: 12576, - 18: 17548, - 20: 11138, - 21: 8982, - 23: 9242, - 25: 6730, - }, - ("SumOfOdds", 5, 6): { - 0: 1746, - 9: 6811, - 13: 8013, - 15: 7862, - 16: 10647, - 18: 16866, - 20: 14372, - 21: 9884, - 23: 11945, - 25: 11854, - }, - ("SumOfOdds", 5, 7): {0: 2634, 11: 8007, 15: 6797, 16: 8325, 18: 14878, 20: 17146, 21: 10043, 23: 14100, 25: 18070}, - ("SumOfOdds", 5, 8): {0: 95, 6: 6529, 15: 12097, 18: 12454, 20: 18491, 21: 9907, 23: 15254, 25: 25173}, - ("SumOfOdds", 6, 1): { - 0: 7410, - 3: 9799, - 5: 6613, - 6: 9118, - 7: 7139, - 8: 8145, - 9: 8689, - 10: 7075, - 11: 8130, - 12: 10756, - 14: 7910, - 16: 9216, - }, - ("SumOfOdds", 6, 2): { - 0: 153, - 1: 6753, - 7: 6763, - 9: 10513, - 11: 7613, - 12: 6840, - 13: 7405, - 14: 15279, - 16: 8370, - 17: 11320, - 19: 8667, - 21: 10324, - }, - ("SumOfOdds", 6, 3): { - 0: 1606, - 6: 7336, - 10: 7969, - 12: 10094, - 14: 13221, - 16: 14647, - 18: 7891, - 19: 12673, - 21: 7711, - 22: 7652, - 24: 9200, - }, - ("SumOfOdds", 6, 4): { - 0: 5771, - 11: 9419, - 14: 9943, - 16: 12296, - 18: 8483, - 19: 7579, - 20: 6653, - 21: 12847, - 23: 12798, - 25: 9237, - 28: 4974, - }, - ("SumOfOdds", 6, 5): { - 0: 1626, - 10: 6554, - 14: 6940, - 16: 9081, - 18: 13910, - 20: 7845, - 21: 13179, - 23: 15752, - 25: 7754, - 26: 7087, - 28: 6388, - 30: 3884, - }, - ("SumOfOdds", 6, 6): { - 0: 5968, - 15: 8985, - 18: 10935, - 20: 7981, - 21: 12052, - 23: 16882, - 25: 11411, - 26: 8543, - 28: 9447, - 30: 7796, - }, - ("SumOfOdds", 6, 7): { - 0: 2314, - 14: 7046, - 18: 7891, - 20: 7612, - 21: 10285, - 23: 16141, - 25: 14467, - 26: 9526, - 28: 12043, - 30: 12675, - }, - ("SumOfOdds", 6, 8): {0: 2954, 16: 7951, 20: 6522, 21: 8203, 23: 14396, 25: 16723, 26: 10048, 28: 13964, 30: 19239}, - ("SumOfOdds", 7, 1): { - 0: 7118, - 4: 8884, - 6: 6784, - 7: 6543, - 8: 7190, - 9: 8090, - 10: 7566, - 11: 8138, - 12: 12835, - 14: 10729, - 16: 7321, - 18: 8802, - }, - ("SumOfOdds", 7, 2): { - 0: 3167, - 7: 7213, - 10: 8389, - 12: 11166, - 14: 13742, - 16: 7542, - 17: 13594, - 19: 7499, - 20: 10496, - 22: 7447, - 24: 9745, - }, - ("SumOfOdds", 7, 3): { - 0: 5630, - 11: 9052, - 14: 9360, - 16: 12256, - 18: 6591, - 19: 13562, - 21: 7920, - 22: 11341, - 24: 9551, - 26: 7162, - 28: 7575, - }, - ("SumOfOdds", 7, 4): { - 0: 2220, - 11: 7265, - 15: 7277, - 17: 8988, - 19: 11926, - 21: 13334, - 23: 7672, - 24: 12685, - 26: 10835, - 28: 9199, - 30: 8599, - }, - ("SumOfOdds", 7, 5): { - 0: 5935, - 16: 8874, - 19: 9145, - 21: 11223, - 23: 7919, - 24: 7133, - 25: 7033, - 26: 12505, - 28: 13136, - 30: 10486, - 33: 6611, - }, - ("SumOfOdds", 7, 6): { - 2: 5799, - 18: 8867, - 21: 8424, - 23: 12902, - 25: 7570, - 26: 12513, - 28: 15893, - 30: 8537, - 31: 7294, - 33: 7232, - 35: 4969, - }, - ("SumOfOdds", 7, 7): { - 4: 6004, - 20: 8618, - 23: 10174, - 25: 7651, - 26: 11473, - 28: 16014, - 30: 11962, - 31: 8823, - 33: 10174, - 35: 9107, - }, - ("SumOfOdds", 7, 8): { - 0: 1, - 6: 2365, - 19: 6646, - 23: 7527, - 25: 7288, - 26: 9647, - 28: 15608, - 30: 14871, - 31: 9462, - 33: 12445, - 35: 14140, - }, - ("SumOfOdds", 8, 1): { - 0: 378, - 1: 6791, - 5: 8633, - 7: 11129, - 9: 7107, - 10: 6937, - 11: 7580, - 12: 7278, - 13: 6521, - 14: 12474, - 16: 9800, - 18: 6552, - 20: 8820, - }, - ("SumOfOdds", 8, 2): { - 0: 797, - 6: 6948, - 11: 6794, - 13: 9599, - 15: 11601, - 17: 13076, - 19: 7293, - 20: 12487, - 22: 10815, - 24: 11552, - 27: 9038, - }, - ("SumOfOdds", 8, 3): { - 0: 2561, - 11: 7695, - 15: 7099, - 17: 9139, - 19: 11547, - 21: 6969, - 22: 12519, - 24: 7157, - 25: 11327, - 27: 8869, - 29: 6641, - 31: 8477, - }, - ("SumOfOdds", 8, 4): { - 1: 2741, - 14: 7296, - 18: 7355, - 20: 9629, - 22: 10789, - 24: 12431, - 26: 7943, - 27: 11603, - 29: 10400, - 31: 12399, - 34: 7414, - }, - ("SumOfOdds", 8, 5): { - 1: 3, - 3: 6210, - 19: 8804, - 22: 8054, - 24: 10449, - 26: 12536, - 28: 7567, - 29: 12781, - 31: 11341, - 33: 10541, - 35: 7462, - 38: 4252, - }, - ("SumOfOdds", 8, 6): { - 4: 5763, - 21: 7702, - 24: 8128, - 26: 10005, - 28: 7465, - 29: 6546, - 30: 7060, - 31: 12383, - 33: 14068, - 35: 12408, - 38: 8472, - }, - ("SumOfOdds", 8, 7): { - 6: 5301, - 23: 8027, - 26: 7391, - 28: 11956, - 30: 7550, - 31: 12181, - 33: 15650, - 35: 9851, - 36: 7726, - 38: 8073, - 40: 6294, - }, - ("SumOfOdds", 8, 8): { - 4: 1, - 8: 5554, - 25: 7637, - 28: 9115, - 30: 7469, - 31: 10714, - 33: 16060, - 35: 12876, - 36: 8889, - 38: 10622, - 40: 11063, - }, - ("SumOfEvens", 1, 1): {0: 49585, 2: 16733, 4: 16854, 6: 16828}, - ("SumOfEvens", 1, 2): {0: 33244, 2: 11087, 4: 28025, 6: 27644}, - ("SumOfEvens", 1, 3): {0: 22259, 2: 7317, 4: 35040, 6: 35384}, - ("SumOfEvens", 1, 4): {0: 18511, 2: 6233, 4: 29418, 6: 45838}, - ("SumOfEvens", 1, 5): {0: 15428, 2: 5146, 4: 24510, 6: 54916}, - ("SumOfEvens", 1, 6): {0: 12927, 2: 4255, 4: 20115, 6: 62703}, - ("SumOfEvens", 1, 7): {0: 10650, 2: 3502, 4: 17087, 6: 68761}, - ("SumOfEvens", 1, 8): {0: 11920, 4: 14227, 6: 73853}, - ("SumOfEvens", 2, 1): {0: 25229, 2: 16545, 4: 19538, 6: 21987, 8: 8263, 10: 8438}, - ("SumOfEvens", 2, 2): {0: 11179, 2: 7503, 4: 19661, 6: 24451, 8: 13966, 10: 15400, 12: 7840}, - ("SumOfEvens", 2, 3): {0: 8099, 4: 16354, 6: 20647, 8: 17887, 10: 24736, 12: 12277}, - ("SumOfEvens", 2, 4): {0: 5687, 4: 11219, 6: 20711, 8: 14290, 10: 26976, 12: 21117}, - ("SumOfEvens", 2, 5): {0: 3991, 4: 7910, 6: 19247, 8: 11641, 10: 26842, 12: 30369}, - ("SumOfEvens", 2, 6): {0: 2741, 4: 5313, 6: 17810, 8: 9468, 10: 25582, 12: 39086}, - ("SumOfEvens", 2, 7): {0: 1905, 4: 3790, 6: 15965, 8: 7645, 10: 23307, 12: 47388}, - ("SumOfEvens", 2, 8): {0: 3950, 6: 14006, 8: 6462, 10: 20879, 12: 54703}, - ("SumOfEvens", 3, 1): {0: 12538, 2: 12516, 4: 16530, 6: 21270, 8: 13745, 10: 11209, 12: 7524, 14: 4668}, - ("SumOfEvens", 3, 2): {0: 3666, 2: 3738, 4: 10459, 6: 15644, 8: 15032, 10: 18955, 12: 15021, 14: 8937, 16: 8548}, - ("SumOfEvens", 3, 3): {0: 2176, 4: 5572, 6: 8576, 8: 12295, 10: 20247, 12: 18001, 14: 15953, 16: 12864, 18: 4316}, - ("SumOfEvens", 3, 4): {0: 642, 2: 3914, 6: 6844, 8: 8218, 10: 17232, 12: 18975, 14: 15832, 16: 18749, 18: 9594}, - ("SumOfEvens", 3, 5): {0: 2575, 6: 5105, 8: 5720, 10: 13927, 12: 19533, 14: 14402, 16: 21954, 18: 16784}, - ("SumOfEvens", 3, 6): {0: 1475, 6: 3732, 8: 3796, 10: 10614, 12: 19070, 14: 12940, 16: 23882, 18: 24491}, - ("SumOfEvens", 3, 7): {0: 862, 6: 5321, 10: 8145, 12: 18146, 14: 10985, 16: 24254, 18: 32287}, - ("SumOfEvens", 3, 8): {0: 494, 6: 3730, 10: 5777, 12: 16926, 14: 9402, 16: 23114, 18: 40557}, - ("SumOfEvens", 4, 1): { - 0: 6214, - 2: 8516, - 4: 12405, - 6: 17434, - 8: 15427, - 10: 14158, - 12: 11354, - 14: 6828, - 16: 4295, - 18: 3369, - }, - ("SumOfEvens", 4, 2): { - 0: 2868, - 4: 4894, - 6: 8468, - 8: 10702, - 10: 15154, - 12: 15715, - 14: 14104, - 16: 12485, - 18: 8084, - 20: 7526, - }, - ("SumOfEvens", 4, 3): { - 0: 573, - 4: 4781, - 8: 5715, - 10: 10269, - 12: 12879, - 14: 16224, - 16: 17484, - 18: 13847, - 20: 10518, - 22: 7710, - }, - ("SumOfEvens", 4, 4): { - 0: 1119, - 6: 5124, - 10: 7096, - 12: 10298, - 14: 12763, - 16: 17947, - 18: 16566, - 20: 13338, - 22: 11215, - 24: 4534, - }, - ("SumOfEvens", 4, 5): { - 0: 136, - 4: 3341, - 10: 4716, - 12: 8022, - 14: 9638, - 16: 16546, - 18: 18045, - 20: 14172, - 22: 16111, - 24: 9273, - }, - ("SumOfEvens", 4, 6): {0: 991, 8: 4039, 12: 6097, 14: 7068, 16: 14021, 18: 18805, 20: 13848, 22: 20013, 24: 15118}, - ("SumOfEvens", 4, 7): {0: 2931, 12: 4654, 14: 4930, 16: 11590, 18: 18952, 20: 12601, 22: 21947, 24: 22395}, - ("SumOfEvens", 4, 8): {0: 1798, 12: 3395, 14: 3386, 16: 8943, 18: 18203, 20: 11505, 22: 23056, 24: 29714}, - ("SumOfEvens", 5, 1): { - 0: 3192, - 2: 5181, - 4: 8648, - 6: 13373, - 8: 13964, - 10: 14656, - 12: 13468, - 14: 10245, - 16: 7574, - 18: 4873, - 20: 4826, - }, - ("SumOfEvens", 5, 2): { - 0: 3217, - 6: 4054, - 8: 6336, - 10: 9910, - 12: 12184, - 14: 13824, - 16: 14674, - 18: 12124, - 20: 9742, - 22: 6877, - 24: 7058, - }, - ("SumOfEvens", 5, 3): { - 0: 650, - 6: 3254, - 10: 4446, - 12: 6558, - 14: 10339, - 16: 13128, - 18: 14686, - 20: 15282, - 22: 13294, - 24: 9361, - 26: 9002, - }, - ("SumOfEvens", 5, 4): { - 0: 736, - 8: 3332, - 12: 4093, - 14: 6555, - 16: 10437, - 18: 12724, - 20: 14710, - 22: 16005, - 24: 12896, - 26: 9761, - 28: 8751, - }, - ("SumOfEvens", 5, 5): { - 0: 814, - 10: 3928, - 14: 4006, - 16: 7635, - 18: 10297, - 20: 12344, - 22: 16826, - 24: 15490, - 26: 12235, - 28: 11323, - 30: 5102, - }, - ("SumOfEvens", 5, 6): { - 0: 1045, - 12: 3999, - 16: 5274, - 18: 8224, - 20: 9688, - 22: 16041, - 24: 17286, - 26: 13565, - 28: 15274, - 30: 9604, - }, - ("SumOfEvens", 5, 7): { - 0: 2951, - 16: 3465, - 18: 6367, - 20: 7478, - 22: 13863, - 24: 18114, - 26: 13349, - 28: 19048, - 30: 15365, - }, - ("SumOfEvens", 5, 8): {0: 249, 12: 3505, 18: 4912, 20: 5406, 22: 11699, 24: 18376, 26: 12500, 28: 21211, 30: 22142}, - ("SumOfEvens", 6, 1): { - 0: 4767, - 4: 5715, - 6: 9535, - 8: 11527, - 10: 13220, - 12: 13855, - 14: 12217, - 16: 10036, - 18: 7641, - 20: 5155, - 22: 6332, - }, - ("SumOfEvens", 6, 2): { - 0: 3379, - 8: 3286, - 10: 5781, - 12: 8107, - 14: 10495, - 16: 12112, - 18: 12962, - 20: 12458, - 22: 10842, - 24: 8362, - 26: 5714, - 28: 6502, - }, - ("SumOfEvens", 6, 3): { - 0: 1230, - 10: 4741, - 14: 5066, - 16: 7714, - 18: 10098, - 20: 12628, - 22: 13809, - 24: 13594, - 26: 11930, - 28: 8967, - 30: 5778, - 32: 4445, - }, - ("SumOfEvens", 6, 4): { - 0: 1235, - 12: 4092, - 16: 4678, - 18: 6764, - 20: 9551, - 22: 12530, - 24: 13471, - 26: 13991, - 28: 12906, - 30: 9662, - 32: 6534, - 34: 4586, - }, - ("SumOfEvens", 6, 5): { - 0: 1241, - 14: 4118, - 18: 4392, - 20: 6604, - 22: 9916, - 24: 11810, - 26: 13874, - 28: 15232, - 30: 12927, - 32: 9788, - 34: 10098, - }, - ("SumOfEvens", 6, 6): { - 0: 1224, - 16: 4254, - 20: 4214, - 22: 7418, - 24: 9870, - 26: 11838, - 28: 15982, - 30: 15534, - 32: 12014, - 34: 11679, - 36: 5973, - }, - ("SumOfEvens", 6, 7): { - 4: 1437, - 18: 4249, - 22: 5154, - 24: 8221, - 26: 9426, - 28: 15301, - 30: 17083, - 32: 13001, - 34: 15604, - 36: 10524, - }, - ("SumOfEvens", 6, 8): { - 4: 3207, - 22: 3449, - 24: 6361, - 26: 7209, - 28: 13662, - 30: 18101, - 32: 12842, - 34: 18840, - 36: 16329, - }, - ("SumOfEvens", 7, 1): { - 0: 2584, - 4: 3653, - 6: 6451, - 8: 8939, - 10: 11183, - 12: 12690, - 14: 12463, - 16: 11578, - 18: 9725, - 20: 7614, - 22: 5306, - 24: 3564, - 26: 4250, - }, - ("SumOfEvens", 7, 2): { - 0: 1433, - 8: 4651, - 12: 4933, - 14: 7121, - 16: 9103, - 18: 10694, - 20: 11747, - 22: 12101, - 24: 10947, - 26: 9407, - 28: 7140, - 30: 4969, - 32: 5754, - }, - ("SumOfEvens", 7, 3): { - 0: 957, - 12: 3394, - 16: 3620, - 18: 5753, - 20: 8013, - 22: 10305, - 24: 12043, - 26: 13153, - 28: 12644, - 30: 10884, - 32: 8457, - 34: 5494, - 36: 5283, - }, - ("SumOfEvens", 7, 4): { - 0: 1762, - 16: 4828, - 20: 4695, - 22: 6948, - 24: 9234, - 26: 11605, - 28: 12907, - 30: 13018, - 32: 11907, - 34: 10022, - 36: 6630, - 38: 6444, - }, - ("SumOfEvens", 7, 5): { - 4: 1630, - 18: 4069, - 22: 4347, - 24: 6303, - 26: 8816, - 28: 11561, - 30: 12713, - 32: 13273, - 34: 13412, - 36: 10366, - 38: 7212, - 40: 6298, - }, - ("SumOfEvens", 7, 6): { - 4: 1436, - 20: 4042, - 24: 4176, - 26: 6057, - 28: 9389, - 30: 11291, - 32: 12798, - 34: 15385, - 36: 13346, - 38: 10011, - 40: 8464, - 42: 3605, - }, - ("SumOfEvens", 7, 7): { - 6: 1304, - 22: 4182, - 26: 3913, - 28: 7007, - 30: 9525, - 32: 11106, - 34: 15613, - 36: 15702, - 38: 12021, - 40: 12478, - 42: 7149, - }, - ("SumOfEvens", 7, 8): { - 10: 1490, - 24: 4104, - 28: 5058, - 30: 7669, - 32: 9076, - 34: 14812, - 36: 16970, - 38: 12599, - 40: 16137, - 42: 12085, - }, - ("SumOfEvens", 8, 1): { - 0: 373, - 2: 3336, - 6: 4344, - 8: 6532, - 10: 8598, - 12: 10648, - 14: 11696, - 16: 11862, - 18: 11145, - 20: 9463, - 22: 7414, - 24: 5501, - 26: 3771, - 28: 5317, - }, - ("SumOfEvens", 8, 2): { - 0: 1361, - 10: 4297, - 14: 4098, - 16: 6135, - 18: 7865, - 20: 9772, - 22: 10922, - 24: 11148, - 26: 10879, - 28: 9711, - 30: 8043, - 32: 6058, - 34: 4215, - 36: 5496, - }, - ("SumOfEvens", 8, 3): { - 2: 1601, - 16: 4246, - 20: 4428, - 22: 6221, - 24: 8306, - 26: 10158, - 28: 11561, - 30: 12249, - 32: 11747, - 34: 10070, - 36: 7860, - 38: 5627, - 40: 5926, - }, - ("SumOfEvens", 8, 4): { - 0: 558, - 16: 3763, - 22: 3304, - 24: 4882, - 26: 6864, - 28: 9047, - 30: 10811, - 32: 12344, - 34: 12243, - 36: 11307, - 38: 9623, - 40: 7009, - 42: 4569, - 44: 3676, - }, - ("SumOfEvens", 8, 5): { - 4: 1798, - 22: 4366, - 26: 4229, - 28: 6229, - 30: 8178, - 32: 10485, - 34: 12180, - 36: 12458, - 38: 12260, - 40: 10958, - 42: 7933, - 44: 5192, - 46: 3734, - }, - ("SumOfEvens", 8, 6): { - 6: 1453, - 24: 3831, - 28: 3916, - 30: 5727, - 32: 7846, - 34: 10367, - 36: 12064, - 38: 12862, - 40: 13920, - 42: 11359, - 44: 8361, - 46: 8294, - }, - ("SumOfEvens", 8, 7): { - 8: 1424, - 26: 3618, - 30: 3778, - 32: 5303, - 34: 8619, - 36: 10651, - 38: 12089, - 40: 14999, - 42: 13899, - 44: 10574, - 46: 10004, - 48: 5042, - }, - ("SumOfEvens", 8, 8): { - 10: 1226, - 28: 3779, - 32: 3565, - 34: 6358, - 36: 8996, - 38: 10354, - 40: 14996, - 42: 16214, - 44: 11803, - 46: 13670, - 48: 9039, - }, - ("DoubleThreesAndFours", 1, 1): {0: 66749, 6: 16591, 8: 16660}, - ("DoubleThreesAndFours", 1, 2): {0: 44675, 6: 27694, 8: 27631}, - ("DoubleThreesAndFours", 1, 3): {0: 29592, 6: 35261, 8: 35147}, - ("DoubleThreesAndFours", 1, 4): {0: 24601, 6: 29406, 8: 45993}, - ("DoubleThreesAndFours", 1, 5): {0: 20499, 6: 24420, 8: 55081}, - ("DoubleThreesAndFours", 1, 6): {0: 17116, 6: 20227, 8: 62657}, - ("DoubleThreesAndFours", 1, 7): {0: 14193, 6: 17060, 8: 68747}, - ("DoubleThreesAndFours", 1, 8): {0: 11977, 6: 13924, 8: 74099}, - ("DoubleThreesAndFours", 2, 1): {0: 44382, 6: 22191, 8: 22251, 12: 2892, 14: 8284}, - ("DoubleThreesAndFours", 2, 2): {0: 19720, 6: 24652, 8: 24891, 12: 7693, 14: 15403, 16: 7641}, - ("DoubleThreesAndFours", 2, 3): {0: 8765, 6: 21008, 8: 20929, 12: 12201, 14: 24721, 16: 12376}, - ("DoubleThreesAndFours", 2, 4): {0: 6164, 6: 14466, 8: 22828, 12: 8471, 14: 26935, 16: 21136}, - ("DoubleThreesAndFours", 2, 5): {0: 4307, 6: 10005, 8: 22620, 12: 6057, 14: 26822, 16: 30189}, - ("DoubleThreesAndFours", 2, 6): {0: 2879, 6: 7047, 8: 21466, 12: 4204, 14: 25326, 16: 39078}, - ("DoubleThreesAndFours", 2, 7): {0: 2042, 6: 4637, 8: 19698, 12: 2846, 14: 23404, 16: 47373}, - ("DoubleThreesAndFours", 2, 8): {0: 1385, 6: 3373, 8: 17795, 12: 1998, 14: 20907, 16: 54542}, - ("DoubleThreesAndFours", 3, 1): {0: 29378, 6: 22335, 8: 22138, 12: 5551, 14: 11232, 16: 6113, 20: 3253}, - ("DoubleThreesAndFours", 3, 2): {0: 8894, 6: 16518, 8: 16277, 12: 10334, 14: 20757, 16: 12265, 20: 6399, 22: 8556}, - ("DoubleThreesAndFours", 3, 3): { - 0: 2643, - 6: 9270, - 8: 9252, - 12: 11066, - 14: 21922, - 16: 11045, - 18: 4335, - 20: 12900, - 22: 13101, - 24: 4466, - }, - ("DoubleThreesAndFours", 3, 4): { - 0: 1523, - 6: 5443, - 8: 8330, - 12: 6223, - 14: 20310, - 16: 18276, - 20: 11695, - 22: 18521, - 24: 9679, - }, - ("DoubleThreesAndFours", 3, 5): { - 0: 845, - 6: 3180, - 8: 7038, - 12: 3700, - 14: 16545, - 16: 20293, - 20: 9740, - 22: 22168, - 24: 16491, - }, - ("DoubleThreesAndFours", 3, 6): { - 0: 499, - 6: 1774, - 8: 5456, - 12: 2033, - 14: 12995, - 16: 20914, - 20: 7959, - 22: 23876, - 24: 24494, - }, - ("DoubleThreesAndFours", 3, 7): {0: 1298, 8: 5434, 14: 9997, 16: 20598, 20: 5970, 22: 24010, 24: 32693}, - ("DoubleThreesAndFours", 3, 8): {0: 776, 8: 3765, 14: 7514, 16: 19905, 20: 4456, 22: 23158, 24: 40426}, - ("DoubleThreesAndFours", 4, 1): {0: 19809, 6: 19538, 8: 19765, 12: 7513, 14: 14835, 16: 8616, 20: 3787, 22: 6137}, - ("DoubleThreesAndFours", 4, 2): { - 0: 3972, - 6: 9759, - 8: 9681, - 12: 9152, - 14: 18494, - 16: 9182, - 18: 3796, - 20: 11442, - 22: 11245, - 24: 6728, - 28: 6549, - }, - ("DoubleThreesAndFours", 4, 3): { - 0: 745, - 6: 3580, - 8: 3629, - 12: 6446, - 14: 12957, - 16: 6563, - 18: 5181, - 20: 15371, - 22: 15441, - 24: 6812, - 26: 6250, - 28: 9263, - 30: 7762, - }, - ("DoubleThreesAndFours", 4, 4): { - 0: 371, - 6: 4491, - 12: 3063, - 14: 10057, - 16: 10176, - 20: 11583, - 22: 18508, - 24: 10280, - 26: 4741, - 28: 10883, - 30: 11372, - 32: 4475, - }, - ("DoubleThreesAndFours", 4, 5): { - 0: 990, - 8: 3424, - 14: 6844, - 16: 8952, - 20: 8048, - 22: 18097, - 24: 17306, - 28: 10930, - 30: 16244, - 32: 9165, - }, - ("DoubleThreesAndFours", 4, 6): { - 0: 79, - 6: 2446, - 14: 4451, - 16: 7542, - 20: 5399, - 22: 16364, - 24: 18861, - 28: 9736, - 30: 19782, - 32: 15340, - }, - ("DoubleThreesAndFours", 4, 7): { - 0: 1042, - 12: 3256, - 16: 5909, - 20: 3378, - 22: 13634, - 24: 20162, - 28: 8204, - 30: 22055, - 32: 22360, - }, - ("DoubleThreesAndFours", 4, 8): {0: 572, 12: 1938, 16: 6901, 22: 10960, 24: 20269, 28: 6551, 30: 22891, 32: 29918}, - ("DoubleThreesAndFours", 5, 1): { - 0: 13122, - 6: 16411, - 8: 16451, - 12: 8304, - 14: 16464, - 16: 10392, - 20: 6145, - 22: 6092, - 24: 3317, - 28: 3302, - }, - ("DoubleThreesAndFours", 5, 2): { - 0: 1676, - 6: 5469, - 8: 5318, - 12: 6656, - 14: 13562, - 16: 6786, - 18: 4316, - 20: 12668, - 22: 12832, - 24: 5636, - 26: 5358, - 28: 7847, - 30: 7543, - 34: 4333, - }, - ("DoubleThreesAndFours", 5, 3): { - 0: 223, - 6: 2722, - 12: 3259, - 14: 6384, - 16: 3268, - 18: 3897, - 20: 11385, - 22: 11613, - 24: 6096, - 26: 9086, - 28: 13665, - 30: 9486, - 32: 4914, - 34: 5404, - 36: 5338, - 38: 3260, - }, - ("DoubleThreesAndFours", 5, 4): { - 0: 95, - 6: 2712, - 14: 4130, - 16: 4732, - 20: 7322, - 22: 11374, - 24: 6778, - 26: 5595, - 28: 13488, - 30: 14319, - 32: 7169, - 34: 5245, - 36: 8341, - 38: 8700, - }, - ("DoubleThreesAndFours", 5, 5): { - 0: 38, - 6: 1295, - 14: 5458, - 20: 4128, - 22: 9485, - 24: 7483, - 26: 3289, - 28: 11201, - 30: 16810, - 32: 10248, - 34: 4446, - 36: 9980, - 38: 11129, - 40: 5010, - }, - ("DoubleThreesAndFours", 5, 6): { - 0: 16, - 6: 1848, - 16: 4506, - 22: 7062, - 24: 9151, - 28: 8349, - 30: 17020, - 32: 13519, - 34: 3326, - 36: 10243, - 38: 15569, - 40: 9391, - }, - ("DoubleThreesAndFours", 5, 7): { - 0: 246, - 14: 3372, - 22: 4805, - 24: 7632, - 28: 5843, - 30: 15652, - 32: 18636, - 36: 9333, - 38: 19248, - 40: 15233, - }, - ("DoubleThreesAndFours", 5, 8): { - 0: 2, - 6: 1477, - 20: 3860, - 24: 6181, - 28: 3938, - 30: 13694, - 32: 19681, - 36: 8113, - 38: 21064, - 40: 21990, - }, - ("DoubleThreesAndFours", 6, 1): { - 0: 8738, - 6: 13463, - 8: 12988, - 12: 8147, - 14: 16506, - 16: 11068, - 20: 8158, - 22: 11463, - 26: 5157, - 30: 4312, - }, - ("DoubleThreesAndFours", 6, 2): { - 0: 784, - 6: 5735, - 12: 4564, - 14: 8843, - 16: 4479, - 18: 3691, - 20: 11349, - 22: 11356, - 24: 5588, - 26: 6877, - 28: 10790, - 30: 7553, - 32: 3974, - 34: 4398, - 36: 4501, - 38: 5518, - }, - ("DoubleThreesAndFours", 6, 3): { - 0: 1062, - 12: 4317, - 16: 3679, - 20: 6930, - 22: 6770, - 24: 4357, - 26: 8000, - 28: 12114, - 30: 9057, - 32: 6825, - 34: 9548, - 36: 9738, - 38: 6065, - 40: 3765, - 42: 3710, - 44: 4063, - }, - ("DoubleThreesAndFours", 6, 4): { - 0: 930, - 14: 3333, - 20: 3603, - 22: 5673, - 24: 3611, - 26: 4164, - 28: 10039, - 30: 10836, - 32: 6720, - 34: 7926, - 36: 12511, - 38: 10194, - 40: 5366, - 42: 4836, - 44: 5640, - 46: 4618, - }, - ("DoubleThreesAndFours", 6, 5): { - 0: 310, - 14: 3647, - 22: 3827, - 24: 5198, - 28: 6985, - 30: 10494, - 32: 7047, - 34: 5449, - 36: 12190, - 38: 14163, - 40: 7833, - 42: 4738, - 44: 8161, - 46: 9958, - }, - ("DoubleThreesAndFours", 6, 6): { - 0: 446, - 16: 3780, - 24: 3522, - 28: 4300, - 30: 8697, - 32: 7204, - 34: 3427, - 36: 10342, - 38: 16439, - 40: 10795, - 42: 4008, - 44: 9477, - 46: 11631, - 48: 5932, - }, - ("DoubleThreesAndFours", 6, 7): { - 0: 31, - 12: 2221, - 24: 5004, - 30: 6708, - 32: 9035, - 36: 8028, - 38: 16374, - 40: 17005, - 44: 9660, - 46: 15581, - 48: 10353, - }, - ("DoubleThreesAndFours", 6, 8): { - 8: 388, - 22: 3728, - 30: 4988, - 32: 7571, - 36: 5846, - 38: 15017, - 40: 18347, - 44: 9045, - 46: 18638, - 48: 16432, - }, - ("DoubleThreesAndFours", 7, 1): { - 0: 5803, - 6: 10242, - 8: 10404, - 12: 7634, - 14: 15252, - 16: 10934, - 20: 9418, - 22: 9715, - 24: 7193, - 28: 4897, - 30: 4679, - 34: 3829, - }, - ("DoubleThreesAndFours", 7, 2): { - 0: 357, - 6: 2962, - 12: 2776, - 14: 5631, - 16: 5713, - 20: 8788, - 22: 8736, - 24: 4687, - 26: 7287, - 28: 11132, - 30: 7900, - 32: 5286, - 34: 6959, - 36: 7000, - 38: 4228, - 40: 5800, - 44: 4758, - }, - ("DoubleThreesAndFours", 7, 3): { - 0: 361, - 12: 3523, - 20: 3613, - 22: 5983, - 26: 5630, - 28: 8269, - 30: 6641, - 32: 6333, - 34: 10088, - 36: 10081, - 38: 7494, - 40: 6987, - 42: 7821, - 44: 6306, - 46: 6547, - 50: 4323, - }, - ("DoubleThreesAndFours", 7, 4): { - 0: 5, - 6: 1510, - 20: 3966, - 24: 4114, - 28: 5838, - 30: 6379, - 32: 4601, - 34: 6715, - 36: 10741, - 38: 9398, - 40: 6630, - 42: 8597, - 44: 10218, - 46: 7244, - 48: 4033, - 50: 3948, - 52: 6063, - }, - ("DoubleThreesAndFours", 7, 5): { - 0: 6, - 6: 1267, - 22: 3498, - 28: 3284, - 30: 5190, - 32: 3707, - 34: 3996, - 36: 8930, - 38: 10182, - 40: 6767, - 42: 6888, - 44: 11990, - 46: 11137, - 48: 5993, - 50: 4653, - 52: 6259, - 54: 6253, - }, - ("DoubleThreesAndFours", 7, 6): { - 8: 499, - 22: 3606, - 30: 3572, - 32: 5084, - 36: 6292, - 38: 9755, - 40: 7116, - 42: 5017, - 44: 11451, - 46: 14027, - 48: 8688, - 50: 4510, - 52: 8339, - 54: 8347, - 56: 3697, - }, - ("DoubleThreesAndFours", 7, 7): { - 6: 982, - 26: 3267, - 32: 3304, - 36: 4015, - 38: 8195, - 40: 10376, - 44: 9719, - 46: 15829, - 48: 11561, - 50: 3831, - 52: 9257, - 54: 12409, - 56: 7255, - }, - ("DoubleThreesAndFours", 7, 8): { - 8: 42, - 20: 2293, - 32: 4653, - 38: 6452, - 40: 8616, - 44: 7554, - 46: 15616, - 48: 17057, - 52: 9418, - 54: 16183, - 56: 12116, - }, - ("DoubleThreesAndFours", 8, 1): { - 0: 3982, - 6: 7946, - 8: 7712, - 12: 6731, - 14: 13657, - 16: 6920, - 18: 3314, - 20: 10167, - 22: 10162, - 24: 4614, - 26: 4302, - 28: 6414, - 30: 4504, - 32: 4254, - 36: 5321, - }, - ("DoubleThreesAndFours", 8, 2): { - 0: 161, - 6: 1484, - 12: 1685, - 14: 3393, - 16: 3713, - 20: 6475, - 22: 6445, - 24: 3639, - 26: 6631, - 28: 9769, - 30: 7306, - 32: 5644, - 34: 8035, - 36: 8364, - 38: 5473, - 40: 4617, - 42: 5074, - 44: 4004, - 46: 4236, - 50: 3852, - }, - ("DoubleThreesAndFours", 8, 3): { - 0: 6, - 6: 1665, - 20: 4622, - 26: 3379, - 28: 4918, - 30: 4044, - 32: 4752, - 34: 8086, - 36: 8106, - 38: 6904, - 40: 7729, - 42: 9356, - 44: 8078, - 46: 5989, - 48: 6119, - 50: 5725, - 52: 6500, - 56: 4022, - }, - ("DoubleThreesAndFours", 8, 4): { - 0: 36, - 12: 2795, - 26: 4033, - 30: 5709, - 34: 4515, - 36: 7211, - 38: 6651, - 40: 5753, - 42: 8437, - 44: 10354, - 46: 8005, - 48: 6657, - 50: 7755, - 52: 7763, - 54: 4862, - 56: 5973, - 60: 3491, - }, - ("DoubleThreesAndFours", 8, 5): { - 6: 1614, - 28: 3410, - 32: 3723, - 36: 4863, - 38: 5795, - 40: 4470, - 42: 5705, - 44: 9760, - 46: 9599, - 48: 6812, - 50: 7637, - 52: 10531, - 54: 8556, - 56: 4701, - 58: 4174, - 60: 4703, - 62: 3947, - }, - ("DoubleThreesAndFours", 8, 6): { - 0: 119, - 22: 3428, - 34: 3815, - 38: 4423, - 40: 3520, - 42: 3493, - 44: 7896, - 46: 9936, - 48: 6877, - 50: 6139, - 52: 11631, - 54: 12058, - 56: 6986, - 58: 4472, - 60: 6904, - 62: 8303, - }, - ("DoubleThreesAndFours", 8, 7): { - 6: 2, - 12: 2204, - 36: 4638, - 40: 4682, - 44: 5588, - 46: 9100, - 48: 7192, - 50: 4302, - 52: 10602, - 54: 14541, - 56: 9724, - 58: 4125, - 60: 8403, - 62: 9808, - 64: 5089, - }, - ("DoubleThreesAndFours", 8, 8): { - 8: 5, - 20: 1769, - 38: 5145, - 44: 3621, - 46: 7646, - 48: 9806, - 52: 8871, - 54: 15467, - 56: 12383, - 58: 3339, - 60: 9206, - 62: 13539, - 64: 9203, - }, - ("QuadrupleOnesAndTwos", 1, 1): {0: 66567, 4: 16803, 8: 16630}, - ("QuadrupleOnesAndTwos", 1, 2): {0: 44809, 4: 27448, 8: 27743}, - ("QuadrupleOnesAndTwos", 1, 3): {0: 37100, 4: 23184, 8: 39716}, - ("QuadrupleOnesAndTwos", 1, 4): {0: 30963, 4: 19221, 8: 49816}, - ("QuadrupleOnesAndTwos", 1, 5): {0: 25316, 4: 16079, 8: 58605}, - ("QuadrupleOnesAndTwos", 1, 6): {0: 21505, 4: 13237, 8: 65258}, - ("QuadrupleOnesAndTwos", 1, 7): {0: 17676, 4: 11100, 8: 71224}, - ("QuadrupleOnesAndTwos", 1, 8): {0: 14971, 4: 9323, 8: 75706}, - ("QuadrupleOnesAndTwos", 2, 1): {0: 44566, 4: 22273, 8: 24842, 12: 5485, 16: 2834}, - ("QuadrupleOnesAndTwos", 2, 2): {0: 19963, 4: 24890, 8: 32262, 12: 15172, 16: 7713}, - ("QuadrupleOnesAndTwos", 2, 3): {0: 13766, 4: 17158, 8: 34907, 12: 18539, 16: 15630}, - ("QuadrupleOnesAndTwos", 2, 4): {0: 9543, 4: 11981, 8: 34465, 12: 19108, 16: 24903}, - ("QuadrupleOnesAndTwos", 2, 5): {0: 6472, 4: 8302, 8: 32470, 12: 18612, 16: 34144}, - ("QuadrupleOnesAndTwos", 2, 6): {0: 4569, 4: 5737, 8: 29716, 12: 17216, 16: 42762}, - ("QuadrupleOnesAndTwos", 2, 7): {0: 3146, 4: 3974, 8: 26489, 12: 15756, 16: 50635}, - ("QuadrupleOnesAndTwos", 2, 8): {0: 2265, 4: 2724, 8: 23578, 12: 14167, 16: 57266}, - ("QuadrupleOnesAndTwos", 3, 1): {0: 29440, 4: 22574, 8: 27747, 12: 11557, 16: 6892, 20: 1790}, - ("QuadrupleOnesAndTwos", 3, 2): {0: 8857, 4: 16295, 8: 26434, 12: 22986, 16: 16799, 20: 6481, 24: 2148}, - ("QuadrupleOnesAndTwos", 3, 3): {0: 5063, 4: 9447, 8: 22255, 12: 21685, 16: 24084, 20: 11167, 24: 6299}, - ("QuadrupleOnesAndTwos", 3, 4): {0: 2864, 4: 5531, 8: 17681, 12: 18400, 16: 28524, 20: 14552, 24: 12448}, - ("QuadrupleOnesAndTwos", 3, 5): {0: 1676, 4: 3219, 8: 13478, 12: 14755, 16: 30427, 20: 16602, 24: 19843}, - ("QuadrupleOnesAndTwos", 3, 6): {0: 923, 4: 1758, 8: 10259, 12: 11326, 16: 31125, 20: 16984, 24: 27625}, - ("QuadrupleOnesAndTwos", 3, 7): {0: 1688, 8: 7543, 12: 8769, 16: 29367, 20: 17085, 24: 35548}, - ("QuadrupleOnesAndTwos", 3, 8): {0: 941, 8: 5277, 12: 6388, 16: 27741, 20: 16170, 24: 43483}, - ("QuadrupleOnesAndTwos", 4, 1): {0: 19691, 4: 19657, 8: 27288, 12: 16126, 16: 11167, 20: 3979, 24: 2092}, - ("QuadrupleOnesAndTwos", 4, 2): {0: 4023, 4: 9776, 8: 19015, 12: 22094, 16: 20986, 20: 13805, 24: 7340, 28: 2961}, - ("QuadrupleOnesAndTwos", 4, 3): { - 0: 1848, - 4: 4705, - 8: 12411, - 12: 16853, - 16: 22831, - 20: 18400, - 24: 14480, - 28: 5902, - 32: 2570, - }, - ("QuadrupleOnesAndTwos", 4, 4): { - 0: 930, - 4: 2291, - 8: 8084, - 12: 12063, - 16: 21220, - 20: 19266, - 24: 20615, - 28: 9443, - 32: 6088, - }, - ("QuadrupleOnesAndTwos", 4, 5): {0: 1561, 8: 4963, 12: 7649, 16: 18209, 20: 17910, 24: 25474, 28: 12864, 32: 11370}, - ("QuadrupleOnesAndTwos", 4, 6): {0: 722, 8: 3048, 12: 4931, 16: 14796, 20: 15416, 24: 28256, 28: 14675, 32: 18156}, - ("QuadrupleOnesAndTwos", 4, 7): {0: 359, 8: 1871, 12: 3189, 16: 11547, 20: 12289, 24: 29181, 28: 16052, 32: 25512}, - ("QuadrupleOnesAndTwos", 4, 8): {0: 1226, 12: 1909, 16: 8888, 20: 9679, 24: 28785, 28: 16180, 32: 33333}, - ("QuadrupleOnesAndTwos", 5, 1): {0: 13112, 4: 16534, 8: 24718, 12: 18558, 16: 14547, 20: 7055, 24: 3810, 28: 1666}, - ("QuadrupleOnesAndTwos", 5, 2): { - 0: 1764, - 4: 5529, - 8: 12216, - 12: 17687, - 16: 20808, - 20: 18149, - 24: 12849, - 28: 6991, - 32: 4007, - }, - ("QuadrupleOnesAndTwos", 5, 3): { - 0: 719, - 4: 2161, - 8: 6362, - 12: 11074, - 16: 17322, - 20: 19002, - 24: 18643, - 28: 12827, - 32: 7960, - 36: 3930, - }, - ("QuadrupleOnesAndTwos", 5, 4): { - 0: 1152, - 8: 3209, - 12: 6581, - 16: 12913, - 20: 15867, - 24: 20749, - 28: 16398, - 32: 14218, - 36: 5931, - 40: 2982, - }, - ("QuadrupleOnesAndTwos", 5, 5): { - 0: 438, - 8: 1729, - 12: 3480, - 16: 8863, - 20: 12037, - 24: 20010, - 28: 17568, - 32: 19789, - 36: 9319, - 40: 6767, - }, - ("QuadrupleOnesAndTwos", 5, 6): { - 0: 1064, - 12: 1793, - 16: 5734, - 20: 8436, - 24: 17830, - 28: 16864, - 32: 24246, - 36: 12115, - 40: 11918, - }, - ("QuadrupleOnesAndTwos", 5, 7): { - 0: 1449, - 16: 3712, - 20: 5684, - 24: 14936, - 28: 14969, - 32: 27238, - 36: 14094, - 40: 17918, - }, - ("QuadrupleOnesAndTwos", 5, 8): {0: 747, 16: 2344, 20: 3690, 24: 11929, 28: 12517, 32: 28388, 36: 15339, 40: 25046}, - ("QuadrupleOnesAndTwos", 6, 1): {0: 8646, 4: 13011, 8: 21357, 12: 19385, 16: 17008, 20: 10409, 24: 6249, 28: 3935}, - ("QuadrupleOnesAndTwos", 6, 2): { - 0: 844, - 4: 2876, - 8: 7435, - 12: 12792, - 16: 17480, - 20: 18814, - 24: 16492, - 28: 11889, - 32: 6893, - 36: 4485, - }, - ("QuadrupleOnesAndTwos", 6, 3): { - 0: 1241, - 8: 3203, - 12: 6431, - 16: 11685, - 20: 15584, - 24: 17967, - 28: 16506, - 32: 13314, - 36: 8034, - 40: 4204, - 44: 1831, - }, - ("QuadrupleOnesAndTwos", 6, 4): { - 0: 83, - 4: 1662, - 12: 3077, - 16: 6727, - 20: 10562, - 24: 15746, - 28: 17174, - 32: 17787, - 36: 12820, - 40: 9289, - 44: 5073, - }, - ("QuadrupleOnesAndTwos", 6, 5): { - 0: 142, - 8: 1934, - 16: 3781, - 20: 6466, - 24: 12264, - 28: 14810, - 32: 19588, - 36: 16002, - 40: 14682, - 44: 6410, - 48: 3921, - }, - ("QuadrupleOnesAndTwos", 6, 6): { - 0: 884, - 16: 2094, - 20: 3849, - 24: 8774, - 28: 11481, - 32: 19145, - 36: 16864, - 40: 19906, - 44: 9386, - 48: 7617, - }, - ("QuadrupleOnesAndTwos", 6, 7): { - 0: 1386, - 20: 2123, - 24: 6015, - 28: 8372, - 32: 17207, - 36: 16148, - 40: 24051, - 44: 11862, - 48: 12836, - }, - ("QuadrupleOnesAndTwos", 6, 8): { - 0: 164, - 16: 1677, - 24: 3868, - 28: 5738, - 32: 14489, - 36: 14585, - 40: 26779, - 44: 13821, - 48: 18879, - }, - ("QuadrupleOnesAndTwos", 7, 1): { - 0: 5780, - 4: 10185, - 8: 17905, - 12: 18364, - 16: 18160, - 20: 13115, - 24: 8617, - 28: 4458, - 32: 3416, - }, - ("QuadrupleOnesAndTwos", 7, 2): { - 0: 1795, - 8: 4327, - 12: 8501, - 16: 13204, - 20: 16895, - 24: 17562, - 28: 15061, - 32: 11122, - 36: 6507, - 40: 3259, - 44: 1767, - }, - ("QuadrupleOnesAndTwos", 7, 3): { - 0: 84, - 4: 1981, - 12: 3419, - 16: 7076, - 20: 11008, - 24: 14839, - 28: 16393, - 32: 16118, - 36: 12681, - 40: 8773, - 44: 4707, - 48: 2921, - }, - ("QuadrupleOnesAndTwos", 7, 4): { - 0: 125, - 8: 1825, - 16: 3362, - 20: 6250, - 24: 10535, - 28: 13596, - 32: 16527, - 36: 15938, - 40: 14071, - 44: 9192, - 48: 5741, - 52: 2838, - }, - ("QuadrupleOnesAndTwos", 7, 5): { - 0: 223, - 12: 2044, - 20: 3100, - 24: 6337, - 28: 9400, - 32: 14443, - 36: 15955, - 40: 17820, - 44: 13369, - 48: 10702, - 52: 4316, - 56: 2291, - }, - ("QuadrupleOnesAndTwos", 7, 6): { - 0: 271, - 16: 2229, - 24: 3747, - 28: 5988, - 32: 11398, - 36: 13738, - 40: 19063, - 44: 15587, - 48: 15867, - 52: 7202, - 56: 4910, - }, - ("QuadrupleOnesAndTwos", 7, 7): { - 0: 1032, - 24: 2129, - 28: 3595, - 32: 8275, - 36: 10801, - 40: 18184, - 44: 16470, - 48: 20467, - 52: 9969, - 56: 9078, - }, - ("QuadrupleOnesAndTwos", 7, 8): { - 0: 1, - 8: 1507, - 28: 2117, - 32: 5715, - 36: 7770, - 40: 16197, - 44: 15477, - 48: 24388, - 52: 12403, - 56: 14425, - }, - ("QuadrupleOnesAndTwos", 8, 1): { - 0: 3811, - 4: 7682, - 8: 14638, - 12: 17214, - 16: 18191, - 20: 14651, - 24: 10976, - 28: 6591, - 32: 3601, - 36: 2645, - }, - ("QuadrupleOnesAndTwos", 8, 2): { - 0: 906, - 8: 2413, - 12: 5355, - 16: 9421, - 20: 13623, - 24: 16213, - 28: 16246, - 32: 14131, - 36: 10076, - 40: 6198, - 44: 3336, - 48: 2082, - }, - ("QuadrupleOnesAndTwos", 8, 3): { - 0: 940, - 12: 1804, - 16: 4021, - 20: 7201, - 24: 10733, - 28: 13934, - 32: 15751, - 36: 14882, - 40: 12409, - 44: 8920, - 48: 5462, - 52: 3943, - }, - ("QuadrupleOnesAndTwos", 8, 4): { - 0: 233, - 12: 2060, - 20: 3103, - 24: 6057, - 28: 9073, - 32: 12990, - 36: 14756, - 40: 15851, - 44: 13795, - 48: 10706, - 52: 6310, - 56: 5066, - }, - ("QuadrupleOnesAndTwos", 8, 5): { - 0: 254, - 16: 1927, - 24: 2989, - 28: 5327, - 32: 8993, - 36: 12039, - 40: 15561, - 44: 15382, - 48: 15278, - 52: 10629, - 56: 7377, - 60: 4244, - }, - ("QuadrupleOnesAndTwos", 8, 6): { - 4: 262, - 20: 2004, - 28: 2711, - 32: 5606, - 36: 8463, - 40: 13177, - 44: 14818, - 48: 17731, - 52: 14024, - 56: 12425, - 60: 5446, - 64: 3333, - }, - ("QuadrupleOnesAndTwos", 8, 7): { - 8: 300, - 24: 2044, - 32: 3399, - 36: 5454, - 40: 10276, - 44: 12582, - 48: 18487, - 52: 15549, - 56: 17187, - 60: 8149, - 64: 6573, - }, - ("QuadrupleOnesAndTwos", 8, 8): { - 8: 1005, - 32: 1803, - 36: 3224, - 40: 7484, - 44: 9727, - 48: 17080, - 52: 15898, - 56: 21877, - 60: 10773, - 64: 11129, - }, - ("MicroStraight", 1, 1): {0: 100000}, - ("MicroStraight", 1, 2): {0: 100000}, - ("MicroStraight", 1, 3): {0: 100000}, - ("MicroStraight", 1, 4): {0: 100000}, - ("MicroStraight", 1, 5): {0: 100000}, - ("MicroStraight", 1, 6): {0: 100000}, - ("MicroStraight", 1, 7): {0: 100000}, - ("MicroStraight", 1, 8): {0: 100000}, - ("MicroStraight", 2, 1): {0: 72326, 10: 27674}, - ("MicroStraight", 2, 2): {0: 48546, 10: 51454}, - ("MicroStraight", 2, 3): {0: 32619, 10: 67381}, - ("MicroStraight", 2, 4): {0: 21659, 10: 78341}, - ("MicroStraight", 2, 5): {0: 14288, 10: 85712}, - ("MicroStraight", 2, 6): {0: 9882, 10: 90118}, - ("MicroStraight", 2, 7): {0: 6502, 10: 93498}, - ("MicroStraight", 2, 8): {0: 4161, 10: 95839}, - ("MicroStraight", 3, 1): {0: 41943, 10: 58057}, - ("MicroStraight", 3, 2): {0: 15524, 10: 84476}, - ("MicroStraight", 3, 3): {0: 5700, 10: 94300}, - ("MicroStraight", 3, 4): {0: 2127, 10: 97873}, - ("MicroStraight", 3, 5): {0: 744, 10: 99256}, - ("MicroStraight", 3, 6): {0: 260, 10: 99740}, - ("MicroStraight", 3, 7): {0: 115, 10: 99885}, - ("MicroStraight", 3, 8): {0: 34, 10: 99966}, - ("MicroStraight", 4, 1): {0: 22307, 10: 77693}, - ("MicroStraight", 4, 2): {0: 4420, 10: 95580}, - ("MicroStraight", 4, 3): {0: 806, 10: 99194}, - ("MicroStraight", 4, 4): {0: 205, 10: 99795}, - ("MicroStraight", 4, 5): {0: 20, 10: 99980}, - ("MicroStraight", 4, 6): {0: 5, 10: 99995}, - ("MicroStraight", 4, 7): {0: 1, 10: 99999}, - ("MicroStraight", 4, 8): {0: 1, 10: 99999}, - ("MicroStraight", 5, 1): {0: 11685, 10: 88315}, - ("MicroStraight", 5, 2): {0: 1141, 10: 98859}, - ("MicroStraight", 5, 3): {0: 119, 10: 99881}, - ("MicroStraight", 5, 4): {0: 11, 10: 99989}, - ("MicroStraight", 5, 5): {0: 1, 10: 99999}, - ("MicroStraight", 5, 6): {10: 100000}, - ("MicroStraight", 5, 7): {10: 100000}, - ("MicroStraight", 5, 8): {10: 100000}, - ("MicroStraight", 6, 1): {0: 5937, 10: 94063}, - ("MicroStraight", 6, 2): {0: 307, 10: 99693}, - ("MicroStraight", 6, 3): {0: 9, 10: 99991}, - ("MicroStraight", 6, 4): {0: 1, 10: 99999}, - ("MicroStraight", 6, 5): {10: 100000}, - ("MicroStraight", 6, 6): {10: 100000}, - ("MicroStraight", 6, 7): {10: 100000}, - ("MicroStraight", 6, 8): {10: 100000}, - ("MicroStraight", 7, 1): {0: 3072, 10: 96928}, - ("MicroStraight", 7, 2): {0: 85, 10: 99915}, - ("MicroStraight", 7, 3): {0: 2, 10: 99998}, - ("MicroStraight", 7, 4): {10: 100000}, - ("MicroStraight", 7, 5): {10: 100000}, - ("MicroStraight", 7, 6): {10: 100000}, - ("MicroStraight", 7, 7): {10: 100000}, - ("MicroStraight", 7, 8): {10: 100000}, - ("MicroStraight", 8, 1): {0: 1544, 10: 98456}, - ("MicroStraight", 8, 2): {0: 15, 10: 99985}, - ("MicroStraight", 8, 3): {10: 100000}, - ("MicroStraight", 8, 4): {10: 100000}, - ("MicroStraight", 8, 5): {10: 100000}, - ("MicroStraight", 8, 6): {10: 100000}, - ("MicroStraight", 8, 7): {10: 100000}, - ("MicroStraight", 8, 8): {10: 100000}, - ("ThreeOdds", 1, 1): {0: 100000}, - ("ThreeOdds", 1, 2): {0: 100000}, - ("ThreeOdds", 1, 3): {0: 100000}, - ("ThreeOdds", 1, 4): {0: 100000}, - ("ThreeOdds", 1, 5): {0: 100000}, - ("ThreeOdds", 1, 6): {0: 100000}, - ("ThreeOdds", 1, 7): {0: 100000}, - ("ThreeOdds", 1, 8): {0: 100000}, - ("ThreeOdds", 2, 1): {0: 100000}, - ("ThreeOdds", 2, 2): {0: 100000}, - ("ThreeOdds", 2, 3): {0: 100000}, - ("ThreeOdds", 2, 4): {0: 100000}, - ("ThreeOdds", 2, 5): {0: 100000}, - ("ThreeOdds", 2, 6): {0: 100000}, - ("ThreeOdds", 2, 7): {0: 100000}, - ("ThreeOdds", 2, 8): {0: 100000}, - ("ThreeOdds", 3, 1): {0: 87592, 20: 12408}, - ("ThreeOdds", 3, 2): {0: 57855, 20: 42145}, - ("ThreeOdds", 3, 3): {0: 32668, 20: 67332}, - ("ThreeOdds", 3, 4): {0: 17508, 20: 82492}, - ("ThreeOdds", 3, 5): {0: 9156, 20: 90844}, - ("ThreeOdds", 3, 6): {0: 4572, 20: 95428}, - ("ThreeOdds", 3, 7): {0: 2325, 20: 97675}, - ("ThreeOdds", 3, 8): {0: 1116, 20: 98884}, - ("ThreeOdds", 4, 1): {0: 68669, 20: 31331}, - ("ThreeOdds", 4, 2): {0: 26140, 20: 73860}, - ("ThreeOdds", 4, 3): {0: 7837, 20: 92163}, - ("ThreeOdds", 4, 4): {0: 2169, 20: 97831}, - ("ThreeOdds", 4, 5): {0: 516, 20: 99484}, - ("ThreeOdds", 4, 6): {0: 156, 20: 99844}, - ("ThreeOdds", 4, 7): {0: 40, 20: 99960}, - ("ThreeOdds", 4, 8): {0: 12, 20: 99988}, - ("ThreeOdds", 5, 1): {0: 49908, 20: 50092}, - ("ThreeOdds", 5, 2): {0: 10373, 20: 89627}, - ("ThreeOdds", 5, 3): {0: 1640, 20: 98360}, - ("ThreeOdds", 5, 4): {0: 223, 20: 99777}, - ("ThreeOdds", 5, 5): {0: 24, 20: 99976}, - ("ThreeOdds", 5, 6): {0: 3, 20: 99997}, - ("ThreeOdds", 5, 7): {0: 1, 20: 99999}, - ("ThreeOdds", 5, 8): {20: 100000}, - ("ThreeOdds", 6, 1): {0: 34566, 20: 65434}, - ("ThreeOdds", 6, 2): {0: 3766, 20: 96234}, - ("ThreeOdds", 6, 3): {0: 291, 20: 99709}, - ("ThreeOdds", 6, 4): {0: 22, 20: 99978}, - ("ThreeOdds", 6, 5): {20: 100000}, - ("ThreeOdds", 6, 6): {20: 100000}, - ("ThreeOdds", 6, 7): {20: 100000}, - ("ThreeOdds", 6, 8): {20: 100000}, - ("ThreeOdds", 7, 1): {0: 22722, 20: 77278}, - ("ThreeOdds", 7, 2): {0: 1291, 20: 98709}, - ("ThreeOdds", 7, 3): {0: 38, 20: 99962}, - ("ThreeOdds", 7, 4): {0: 2, 20: 99998}, - ("ThreeOdds", 7, 5): {20: 100000}, - ("ThreeOdds", 7, 6): {20: 100000}, - ("ThreeOdds", 7, 7): {20: 100000}, - ("ThreeOdds", 7, 8): {20: 100000}, - ("ThreeOdds", 8, 1): {0: 14556, 20: 85444}, - ("ThreeOdds", 8, 2): {0: 430, 20: 99570}, - ("ThreeOdds", 8, 3): {0: 3, 20: 99997}, - ("ThreeOdds", 8, 4): {20: 100000}, - ("ThreeOdds", 8, 5): {20: 100000}, - ("ThreeOdds", 8, 6): {20: 100000}, - ("ThreeOdds", 8, 7): {20: 100000}, - ("ThreeOdds", 8, 8): {20: 100000}, - ("OneTwoOneConsecutive", 1, 1): {0: 100000}, - ("OneTwoOneConsecutive", 1, 2): {0: 100000}, - ("OneTwoOneConsecutive", 1, 3): {0: 100000}, - ("OneTwoOneConsecutive", 1, 4): {0: 100000}, - ("OneTwoOneConsecutive", 1, 5): {0: 100000}, - ("OneTwoOneConsecutive", 1, 6): {0: 100000}, - ("OneTwoOneConsecutive", 1, 7): {0: 100000}, - ("OneTwoOneConsecutive", 1, 8): {0: 100000}, - ("OneTwoOneConsecutive", 2, 1): {0: 100000}, - ("OneTwoOneConsecutive", 2, 2): {0: 100000}, - ("OneTwoOneConsecutive", 2, 3): {0: 100000}, - ("OneTwoOneConsecutive", 2, 4): {0: 100000}, - ("OneTwoOneConsecutive", 2, 5): {0: 100000}, - ("OneTwoOneConsecutive", 2, 6): {0: 100000}, - ("OneTwoOneConsecutive", 2, 7): {0: 100000}, - ("OneTwoOneConsecutive", 2, 8): {0: 100000}, - ("OneTwoOneConsecutive", 3, 1): {0: 100000}, - ("OneTwoOneConsecutive", 3, 2): {0: 100000}, - ("OneTwoOneConsecutive", 3, 3): {0: 100000}, - ("OneTwoOneConsecutive", 3, 4): {0: 100000}, - ("OneTwoOneConsecutive", 3, 5): {0: 100000}, - ("OneTwoOneConsecutive", 3, 6): {0: 100000}, - ("OneTwoOneConsecutive", 3, 7): {0: 100000}, - ("OneTwoOneConsecutive", 3, 8): {0: 100000}, - ("OneTwoOneConsecutive", 4, 1): {0: 96371, 30: 3629}, - ("OneTwoOneConsecutive", 4, 2): {0: 86605, 30: 13395}, - ("OneTwoOneConsecutive", 4, 3): {0: 75037, 30: 24963}, - ("OneTwoOneConsecutive", 4, 4): {0: 63656, 30: 36344}, - ("OneTwoOneConsecutive", 4, 5): {0: 53869, 30: 46131}, - ("OneTwoOneConsecutive", 4, 6): {0: 45131, 30: 54869}, - ("OneTwoOneConsecutive", 4, 7): {0: 37535, 30: 62465}, - ("OneTwoOneConsecutive", 4, 8): {0: 31425, 30: 68575}, - ("OneTwoOneConsecutive", 5, 1): {0: 86632, 30: 13368}, - ("OneTwoOneConsecutive", 5, 2): {0: 62779, 30: 37221}, - ("OneTwoOneConsecutive", 5, 3): {0: 46034, 30: 53966}, - ("OneTwoOneConsecutive", 5, 4): {0: 34983, 30: 65017}, - ("OneTwoOneConsecutive", 5, 5): {0: 28056, 30: 71944}, - ("OneTwoOneConsecutive", 5, 6): {0: 23150, 30: 76850}, - ("OneTwoOneConsecutive", 5, 7): {0: 19577, 30: 80423}, - ("OneTwoOneConsecutive", 5, 8): {0: 17613, 30: 82387}, - ("OneTwoOneConsecutive", 6, 1): {0: 71928, 30: 28072}, - ("OneTwoOneConsecutive", 6, 2): {0: 40724, 30: 59276}, - ("OneTwoOneConsecutive", 6, 3): {0: 26723, 30: 73277}, - ("OneTwoOneConsecutive", 6, 4): {0: 19685, 30: 80315}, - ("OneTwoOneConsecutive", 6, 5): {0: 15460, 30: 84540}, - ("OneTwoOneConsecutive", 6, 6): {0: 12526, 30: 87474}, - ("OneTwoOneConsecutive", 6, 7): {0: 10014, 30: 89986}, - ("OneTwoOneConsecutive", 6, 8): {0: 8251, 30: 91749}, - ("OneTwoOneConsecutive", 7, 1): {0: 55544, 30: 44456}, - ("OneTwoOneConsecutive", 7, 2): {0: 24840, 30: 75160}, - ("OneTwoOneConsecutive", 7, 3): {0: 15102, 30: 84898}, - ("OneTwoOneConsecutive", 7, 4): {0: 10541, 30: 89459}, - ("OneTwoOneConsecutive", 7, 5): {0: 7720, 30: 92280}, - ("OneTwoOneConsecutive", 7, 6): {0: 5554, 30: 94446}, - ("OneTwoOneConsecutive", 7, 7): {0: 4106, 30: 95894}, - ("OneTwoOneConsecutive", 7, 8): {0: 3025, 30: 96975}, - ("OneTwoOneConsecutive", 8, 1): {0: 40693, 30: 59307}, - ("OneTwoOneConsecutive", 8, 2): {0: 14827, 30: 85173}, - ("OneTwoOneConsecutive", 8, 3): {0: 8195, 30: 91805}, - ("OneTwoOneConsecutive", 8, 4): {0: 5383, 30: 94617}, - ("OneTwoOneConsecutive", 8, 5): {0: 3395, 30: 96605}, - ("OneTwoOneConsecutive", 8, 6): {0: 2299, 30: 97701}, - ("OneTwoOneConsecutive", 8, 7): {0: 1412, 30: 98588}, - ("OneTwoOneConsecutive", 8, 8): {0: 872, 30: 99128}, - ("ThreeDistinctDice", 1, 1): {0: 100000}, - ("ThreeDistinctDice", 1, 2): {0: 100000}, - ("ThreeDistinctDice", 1, 3): {0: 100000}, - ("ThreeDistinctDice", 1, 4): {0: 100000}, - ("ThreeDistinctDice", 1, 5): {0: 100000}, - ("ThreeDistinctDice", 1, 6): {0: 100000}, - ("ThreeDistinctDice", 1, 7): {0: 100000}, - ("ThreeDistinctDice", 1, 8): {0: 100000}, - ("ThreeDistinctDice", 2, 1): {0: 100000}, - ("ThreeDistinctDice", 2, 2): {0: 100000}, - ("ThreeDistinctDice", 2, 3): {0: 100000}, - ("ThreeDistinctDice", 2, 4): {0: 100000}, - ("ThreeDistinctDice", 2, 5): {0: 100000}, - ("ThreeDistinctDice", 2, 6): {0: 100000}, - ("ThreeDistinctDice", 2, 7): {0: 100000}, - ("ThreeDistinctDice", 2, 8): {0: 100000}, - ("ThreeDistinctDice", 3, 1): {0: 44707, 20: 55293}, - ("ThreeDistinctDice", 3, 2): {0: 15078, 20: 84922}, - ("ThreeDistinctDice", 3, 3): {0: 5056, 20: 94944}, - ("ThreeDistinctDice", 3, 4): {0: 1688, 20: 98312}, - ("ThreeDistinctDice", 3, 5): {0: 516, 20: 99484}, - ("ThreeDistinctDice", 3, 6): {0: 182, 20: 99818}, - ("ThreeDistinctDice", 3, 7): {0: 56, 20: 99944}, - ("ThreeDistinctDice", 3, 8): {0: 15, 20: 99985}, - ("ThreeDistinctDice", 4, 1): {0: 16721, 20: 83279}, - ("ThreeDistinctDice", 4, 2): {0: 1826, 20: 98174}, - ("ThreeDistinctDice", 4, 3): {0: 203, 20: 99797}, - ("ThreeDistinctDice", 4, 4): {0: 18, 20: 99982}, - ("ThreeDistinctDice", 4, 5): {0: 3, 20: 99997}, - ("ThreeDistinctDice", 4, 6): {20: 100000}, - ("ThreeDistinctDice", 4, 7): {20: 100000}, - ("ThreeDistinctDice", 4, 8): {20: 100000}, - ("ThreeDistinctDice", 5, 1): {0: 5904, 20: 94096}, - ("ThreeDistinctDice", 5, 2): {0: 236, 20: 99764}, - ("ThreeDistinctDice", 5, 3): {0: 12, 20: 99988}, - ("ThreeDistinctDice", 5, 4): {20: 100000}, - ("ThreeDistinctDice", 5, 5): {20: 100000}, - ("ThreeDistinctDice", 5, 6): {20: 100000}, - ("ThreeDistinctDice", 5, 7): {20: 100000}, - ("ThreeDistinctDice", 5, 8): {20: 100000}, - ("ThreeDistinctDice", 6, 1): {0: 1992, 20: 98008}, - ("ThreeDistinctDice", 6, 2): {0: 21, 20: 99979}, - ("ThreeDistinctDice", 6, 3): {20: 100000}, - ("ThreeDistinctDice", 6, 4): {20: 100000}, - ("ThreeDistinctDice", 6, 5): {20: 100000}, - ("ThreeDistinctDice", 6, 6): {20: 100000}, - ("ThreeDistinctDice", 6, 7): {20: 100000}, - ("ThreeDistinctDice", 6, 8): {20: 100000}, - ("ThreeDistinctDice", 7, 1): {0: 692, 20: 99308}, - ("ThreeDistinctDice", 7, 2): {0: 4, 20: 99996}, - ("ThreeDistinctDice", 7, 3): {20: 100000}, - ("ThreeDistinctDice", 7, 4): {20: 100000}, - ("ThreeDistinctDice", 7, 5): {20: 100000}, - ("ThreeDistinctDice", 7, 6): {20: 100000}, - ("ThreeDistinctDice", 7, 7): {20: 100000}, - ("ThreeDistinctDice", 7, 8): {20: 100000}, - ("ThreeDistinctDice", 8, 1): {0: 243, 20: 99757}, - ("ThreeDistinctDice", 8, 2): {0: 1, 20: 99999}, - ("ThreeDistinctDice", 8, 3): {20: 100000}, - ("ThreeDistinctDice", 8, 4): {20: 100000}, - ("ThreeDistinctDice", 8, 5): {20: 100000}, - ("ThreeDistinctDice", 8, 6): {20: 100000}, - ("ThreeDistinctDice", 8, 7): {20: 100000}, - ("ThreeDistinctDice", 8, 8): {20: 100000}, - ("TwoPair", 1, 1): {0: 100000}, - ("TwoPair", 1, 2): {0: 100000}, - ("TwoPair", 1, 3): {0: 100000}, - ("TwoPair", 1, 4): {0: 100000}, - ("TwoPair", 1, 5): {0: 100000}, - ("TwoPair", 1, 6): {0: 100000}, - ("TwoPair", 1, 7): {0: 100000}, - ("TwoPair", 1, 8): {0: 100000}, - ("TwoPair", 2, 1): {0: 100000}, - ("TwoPair", 2, 2): {0: 100000}, - ("TwoPair", 2, 3): {0: 100000}, - ("TwoPair", 2, 4): {0: 100000}, - ("TwoPair", 2, 5): {0: 100000}, - ("TwoPair", 2, 6): {0: 100000}, - ("TwoPair", 2, 7): {0: 100000}, - ("TwoPair", 2, 8): {0: 100000}, - ("TwoPair", 3, 1): {0: 100000}, - ("TwoPair", 3, 2): {0: 100000}, - ("TwoPair", 3, 3): {0: 100000}, - ("TwoPair", 3, 4): {0: 100000}, - ("TwoPair", 3, 5): {0: 100000}, - ("TwoPair", 3, 6): {0: 100000}, - ("TwoPair", 3, 7): {0: 100000}, - ("TwoPair", 3, 8): {0: 100000}, - ("TwoPair", 4, 1): {0: 93065, 30: 6935}, - ("TwoPair", 4, 2): {0: 82102, 30: 17898}, - ("TwoPair", 4, 3): {0: 71209, 30: 28791}, - ("TwoPair", 4, 4): {0: 61609, 30: 38391}, - ("TwoPair", 4, 5): {0: 53036, 30: 46964}, - ("TwoPair", 4, 6): {0: 45705, 30: 54295}, - ("TwoPair", 4, 7): {0: 39398, 30: 60602}, - ("TwoPair", 4, 8): {0: 33673, 30: 66327}, - ("TwoPair", 5, 1): {0: 72847, 30: 27153}, - ("TwoPair", 5, 2): {0: 46759, 30: 53241}, - ("TwoPair", 5, 3): {0: 29462, 30: 70538}, - ("TwoPair", 5, 4): {0: 18351, 30: 81649}, - ("TwoPair", 5, 5): {0: 11793, 30: 88207}, - ("TwoPair", 5, 6): {0: 7385, 30: 92615}, - ("TwoPair", 5, 7): {0: 4610, 30: 95390}, - ("TwoPair", 5, 8): {0: 2938, 30: 97062}, - ("TwoPair", 6, 1): {0: 44431, 30: 55569}, - ("TwoPair", 6, 2): {0: 17183, 30: 82817}, - ("TwoPair", 6, 3): {0: 6759, 30: 93241}, - ("TwoPair", 6, 4): {0: 2562, 30: 97438}, - ("TwoPair", 6, 5): {0: 948, 30: 99052}, - ("TwoPair", 6, 6): {0: 375, 30: 99625}, - ("TwoPair", 6, 7): {0: 138, 30: 99862}, - ("TwoPair", 6, 8): {0: 57, 30: 99943}, - ("TwoPair", 7, 1): {0: 19888, 30: 80112}, - ("TwoPair", 7, 2): {0: 3935, 30: 96065}, - ("TwoPair", 7, 3): {0: 801, 30: 99199}, - ("TwoPair", 7, 4): {0: 175, 30: 99825}, - ("TwoPair", 7, 5): {0: 31, 30: 99969}, - ("TwoPair", 7, 6): {0: 7, 30: 99993}, - ("TwoPair", 7, 7): {0: 2, 30: 99998}, - ("TwoPair", 7, 8): {30: 100000}, - ("TwoPair", 8, 1): {0: 6791, 30: 93209}, - ("TwoPair", 8, 2): {0: 588, 30: 99412}, - ("TwoPair", 8, 3): {0: 61, 30: 99939}, - ("TwoPair", 8, 4): {0: 6, 30: 99994}, - ("TwoPair", 8, 5): {30: 100000}, - ("TwoPair", 8, 6): {30: 100000}, - ("TwoPair", 8, 7): {30: 100000}, - ("TwoPair", 8, 8): {30: 100000}, - ("TwoOneTwoConsecutive", 1, 1): {0: 100000}, - ("TwoOneTwoConsecutive", 1, 2): {0: 100000}, - ("TwoOneTwoConsecutive", 1, 3): {0: 100000}, - ("TwoOneTwoConsecutive", 1, 4): {0: 100000}, - ("TwoOneTwoConsecutive", 1, 5): {0: 100000}, - ("TwoOneTwoConsecutive", 1, 6): {0: 100000}, - ("TwoOneTwoConsecutive", 1, 7): {0: 100000}, - ("TwoOneTwoConsecutive", 1, 8): {0: 100000}, - ("TwoOneTwoConsecutive", 2, 1): {0: 100000}, - ("TwoOneTwoConsecutive", 2, 2): {0: 100000}, - ("TwoOneTwoConsecutive", 2, 3): {0: 100000}, - ("TwoOneTwoConsecutive", 2, 4): {0: 100000}, - ("TwoOneTwoConsecutive", 2, 5): {0: 100000}, - ("TwoOneTwoConsecutive", 2, 6): {0: 100000}, - ("TwoOneTwoConsecutive", 2, 7): {0: 100000}, - ("TwoOneTwoConsecutive", 2, 8): {0: 100000}, - ("TwoOneTwoConsecutive", 3, 1): {0: 100000}, - ("TwoOneTwoConsecutive", 3, 2): {0: 100000}, - ("TwoOneTwoConsecutive", 3, 3): {0: 100000}, - ("TwoOneTwoConsecutive", 3, 4): {0: 100000}, - ("TwoOneTwoConsecutive", 3, 5): {0: 100000}, - ("TwoOneTwoConsecutive", 3, 6): {0: 100000}, - ("TwoOneTwoConsecutive", 3, 7): {0: 100000}, - ("TwoOneTwoConsecutive", 3, 8): {0: 100000}, - ("TwoOneTwoConsecutive", 4, 1): {0: 100000}, - ("TwoOneTwoConsecutive", 4, 2): {0: 100000}, - ("TwoOneTwoConsecutive", 4, 3): {0: 100000}, - ("TwoOneTwoConsecutive", 4, 4): {0: 100000}, - ("TwoOneTwoConsecutive", 4, 5): {0: 100000}, - ("TwoOneTwoConsecutive", 4, 6): {0: 100000}, - ("TwoOneTwoConsecutive", 4, 7): {0: 100000}, - ("TwoOneTwoConsecutive", 4, 8): {0: 100000}, - ("TwoOneTwoConsecutive", 5, 1): {0: 98403, 40: 1597}, - ("TwoOneTwoConsecutive", 5, 2): {0: 90651, 40: 9349}, - ("TwoOneTwoConsecutive", 5, 3): {0: 80100, 40: 19900}, - ("TwoOneTwoConsecutive", 5, 4): {0: 69131, 40: 30869}, - ("TwoOneTwoConsecutive", 5, 5): {0: 58252, 40: 41748}, - ("TwoOneTwoConsecutive", 5, 6): {0: 49405, 40: 50595}, - ("TwoOneTwoConsecutive", 5, 7): {0: 41585, 40: 58415}, - ("TwoOneTwoConsecutive", 5, 8): {0: 34952, 40: 65048}, - ("TwoOneTwoConsecutive", 6, 1): {0: 93465, 40: 6535}, - ("TwoOneTwoConsecutive", 6, 2): {0: 73416, 40: 26584}, - ("TwoOneTwoConsecutive", 6, 3): {0: 54041, 40: 45959}, - ("TwoOneTwoConsecutive", 6, 4): {0: 38535, 40: 61465}, - ("TwoOneTwoConsecutive", 6, 5): {0: 27366, 40: 72634}, - ("TwoOneTwoConsecutive", 6, 6): {0: 18924, 40: 81076}, - ("TwoOneTwoConsecutive", 6, 7): {0: 13387, 40: 86613}, - ("TwoOneTwoConsecutive", 6, 8): {0: 9134, 40: 90866}, - ("TwoOneTwoConsecutive", 7, 1): {0: 84168, 40: 15832}, - ("TwoOneTwoConsecutive", 7, 2): {0: 52659, 40: 47341}, - ("TwoOneTwoConsecutive", 7, 3): {0: 30435, 40: 69565}, - ("TwoOneTwoConsecutive", 7, 4): {0: 17477, 40: 82523}, - ("TwoOneTwoConsecutive", 7, 5): {0: 9782, 40: 90218}, - ("TwoOneTwoConsecutive", 7, 6): {0: 5316, 40: 94684}, - ("TwoOneTwoConsecutive", 7, 7): {0: 2995, 40: 97005}, - ("TwoOneTwoConsecutive", 7, 8): {0: 1689, 40: 98311}, - ("TwoOneTwoConsecutive", 8, 1): {0: 71089, 40: 28911}, - ("TwoOneTwoConsecutive", 8, 2): {0: 33784, 40: 66216}, - ("TwoOneTwoConsecutive", 8, 3): {0: 14820, 40: 85180}, - ("TwoOneTwoConsecutive", 8, 4): {0: 6265, 40: 93735}, - ("TwoOneTwoConsecutive", 8, 5): {0: 2600, 40: 97400}, - ("TwoOneTwoConsecutive", 8, 6): {0: 1155, 40: 98845}, - ("TwoOneTwoConsecutive", 8, 7): {0: 487, 40: 99513}, - ("TwoOneTwoConsecutive", 8, 8): {0: 190, 40: 99810}, - ("FiveDistinctDice", 1, 1): {0: 100000}, - ("FiveDistinctDice", 1, 2): {0: 100000}, - ("FiveDistinctDice", 1, 3): {0: 100000}, - ("FiveDistinctDice", 1, 4): {0: 100000}, - ("FiveDistinctDice", 1, 5): {0: 100000}, - ("FiveDistinctDice", 1, 6): {0: 100000}, - ("FiveDistinctDice", 1, 7): {0: 100000}, - ("FiveDistinctDice", 1, 8): {0: 100000}, - ("FiveDistinctDice", 2, 1): {0: 100000}, - ("FiveDistinctDice", 2, 2): {0: 100000}, - ("FiveDistinctDice", 2, 3): {0: 100000}, - ("FiveDistinctDice", 2, 4): {0: 100000}, - ("FiveDistinctDice", 2, 5): {0: 100000}, - ("FiveDistinctDice", 2, 6): {0: 100000}, - ("FiveDistinctDice", 2, 7): {0: 100000}, - ("FiveDistinctDice", 2, 8): {0: 100000}, - ("FiveDistinctDice", 3, 1): {0: 100000}, - ("FiveDistinctDice", 3, 2): {0: 100000}, - ("FiveDistinctDice", 3, 3): {0: 100000}, - ("FiveDistinctDice", 3, 4): {0: 100000}, - ("FiveDistinctDice", 3, 5): {0: 100000}, - ("FiveDistinctDice", 3, 6): {0: 100000}, - ("FiveDistinctDice", 3, 7): {0: 100000}, - ("FiveDistinctDice", 3, 8): {0: 100000}, - ("FiveDistinctDice", 4, 1): {0: 100000}, - ("FiveDistinctDice", 4, 2): {0: 100000}, - ("FiveDistinctDice", 4, 3): {0: 100000}, - ("FiveDistinctDice", 4, 4): {0: 100000}, - ("FiveDistinctDice", 4, 5): {0: 100000}, - ("FiveDistinctDice", 4, 6): {0: 100000}, - ("FiveDistinctDice", 4, 7): {0: 100000}, - ("FiveDistinctDice", 4, 8): {0: 100000}, - ("FiveDistinctDice", 5, 1): {0: 90907, 25: 9093}, - ("FiveDistinctDice", 5, 2): {0: 68020, 25: 31980}, - ("FiveDistinctDice", 5, 3): {0: 47692, 25: 52308}, - ("FiveDistinctDice", 5, 4): {0: 32383, 25: 67617}, - ("FiveDistinctDice", 5, 5): {0: 21631, 25: 78369}, - ("FiveDistinctDice", 5, 6): {0: 14366, 25: 85634}, - ("FiveDistinctDice", 5, 7): {0: 9568, 25: 90432}, - ("FiveDistinctDice", 5, 8): {0: 6360, 25: 93640}, - ("FiveDistinctDice", 6, 1): {0: 75051, 25: 24949}, - ("FiveDistinctDice", 6, 2): {0: 38409, 25: 61591}, - ("FiveDistinctDice", 6, 3): {0: 17505, 25: 82495}, - ("FiveDistinctDice", 6, 4): {0: 7862, 25: 92138}, - ("FiveDistinctDice", 6, 5): {0: 3538, 25: 96462}, - ("FiveDistinctDice", 6, 6): {0: 1645, 25: 98355}, - ("FiveDistinctDice", 6, 7): {0: 714, 25: 99286}, - ("FiveDistinctDice", 6, 8): {0: 341, 25: 99659}, - ("FiveDistinctDice", 7, 1): {0: 58588, 25: 41412}, - ("FiveDistinctDice", 7, 2): {0: 19487, 25: 80513}, - ("FiveDistinctDice", 7, 3): {0: 6043, 25: 93957}, - ("FiveDistinctDice", 7, 4): {0: 1799, 25: 98201}, - ("FiveDistinctDice", 7, 5): {0: 544, 25: 99456}, - ("FiveDistinctDice", 7, 6): {0: 169, 25: 99831}, - ("FiveDistinctDice", 7, 7): {0: 59, 25: 99941}, - ("FiveDistinctDice", 7, 8): {0: 11, 25: 99989}, - ("FiveDistinctDice", 8, 1): {0: 43586, 25: 56414}, - ("FiveDistinctDice", 8, 2): {0: 9615, 25: 90385}, - ("FiveDistinctDice", 8, 3): {0: 1944, 25: 98056}, - ("FiveDistinctDice", 8, 4): {0: 383, 25: 99617}, - ("FiveDistinctDice", 8, 5): {0: 77, 25: 99923}, - ("FiveDistinctDice", 8, 6): {0: 18, 25: 99982}, - ("FiveDistinctDice", 8, 7): {0: 3, 25: 99997}, - ("FiveDistinctDice", 8, 8): {0: 2, 25: 99998}, - ("FourAndFiveFullHouse", 1, 1): {0: 100000}, - ("FourAndFiveFullHouse", 1, 2): {0: 100000}, - ("FourAndFiveFullHouse", 1, 3): {0: 100000}, - ("FourAndFiveFullHouse", 1, 4): {0: 100000}, - ("FourAndFiveFullHouse", 1, 5): {0: 100000}, - ("FourAndFiveFullHouse", 1, 6): {0: 100000}, - ("FourAndFiveFullHouse", 1, 7): {0: 100000}, - ("FourAndFiveFullHouse", 1, 8): {0: 100000}, - ("FourAndFiveFullHouse", 2, 1): {0: 100000}, - ("FourAndFiveFullHouse", 2, 2): {0: 100000}, - ("FourAndFiveFullHouse", 2, 3): {0: 100000}, - ("FourAndFiveFullHouse", 2, 4): {0: 100000}, - ("FourAndFiveFullHouse", 2, 5): {0: 100000}, - ("FourAndFiveFullHouse", 2, 6): {0: 100000}, - ("FourAndFiveFullHouse", 2, 7): {0: 100000}, - ("FourAndFiveFullHouse", 2, 8): {0: 100000}, - ("FourAndFiveFullHouse", 3, 1): {0: 100000}, - ("FourAndFiveFullHouse", 3, 2): {0: 100000}, - ("FourAndFiveFullHouse", 3, 3): {0: 100000}, - ("FourAndFiveFullHouse", 3, 4): {0: 100000}, - ("FourAndFiveFullHouse", 3, 5): {0: 100000}, - ("FourAndFiveFullHouse", 3, 6): {0: 100000}, - ("FourAndFiveFullHouse", 3, 7): {0: 100000}, - ("FourAndFiveFullHouse", 3, 8): {0: 100000}, - ("FourAndFiveFullHouse", 4, 1): {0: 100000}, - ("FourAndFiveFullHouse", 4, 2): {0: 100000}, - ("FourAndFiveFullHouse", 4, 3): {0: 100000}, - ("FourAndFiveFullHouse", 4, 4): {0: 100000}, - ("FourAndFiveFullHouse", 4, 5): {0: 100000}, - ("FourAndFiveFullHouse", 4, 6): {0: 100000}, - ("FourAndFiveFullHouse", 4, 7): {0: 100000}, - ("FourAndFiveFullHouse", 4, 8): {0: 100000}, - ("FourAndFiveFullHouse", 5, 1): {0: 99724, 50: 276}, - ("FourAndFiveFullHouse", 5, 2): {0: 96607, 50: 3393}, - ("FourAndFiveFullHouse", 5, 3): {0: 88788, 50: 11212}, - ("FourAndFiveFullHouse", 5, 4): {0: 77799, 50: 22201}, - ("FourAndFiveFullHouse", 5, 5): {0: 65797, 50: 34203}, - ("FourAndFiveFullHouse", 5, 6): {0: 54548, 50: 45452}, - ("FourAndFiveFullHouse", 5, 7): {0: 44898, 50: 55102}, - ("FourAndFiveFullHouse", 5, 8): {0: 36881, 50: 63119}, - ("FourAndFiveFullHouse", 6, 1): {0: 98841, 50: 1159}, - ("FourAndFiveFullHouse", 6, 2): {0: 88680, 50: 11320}, - ("FourAndFiveFullHouse", 6, 3): {0: 70215, 50: 29785}, - ("FourAndFiveFullHouse", 6, 4): {0: 50801, 50: 49199}, - ("FourAndFiveFullHouse", 6, 5): {0: 35756, 50: 64244}, - ("FourAndFiveFullHouse", 6, 6): {0: 24698, 50: 75302}, - ("FourAndFiveFullHouse", 6, 7): {0: 17145, 50: 82855}, - ("FourAndFiveFullHouse", 6, 8): {0: 11846, 50: 88154}, - ("FourAndFiveFullHouse", 7, 1): {0: 97090, 50: 2910}, - ("FourAndFiveFullHouse", 7, 2): {0: 77440, 50: 22560}, - ("FourAndFiveFullHouse", 7, 3): {0: 51372, 50: 48628}, - ("FourAndFiveFullHouse", 7, 4): {0: 30566, 50: 69434}, - ("FourAndFiveFullHouse", 7, 5): {0: 17866, 50: 82134}, - ("FourAndFiveFullHouse", 7, 6): {0: 10521, 50: 89479}, - ("FourAndFiveFullHouse", 7, 7): {0: 6204, 50: 93796}, - ("FourAndFiveFullHouse", 7, 8): {0: 3670, 50: 96330}, - ("FourAndFiveFullHouse", 8, 1): {0: 94172, 50: 5828}, - ("FourAndFiveFullHouse", 8, 2): {0: 64693, 50: 35307}, - ("FourAndFiveFullHouse", 8, 3): {0: 35293, 50: 64707}, - ("FourAndFiveFullHouse", 8, 4): {0: 17749, 50: 82251}, - ("FourAndFiveFullHouse", 8, 5): {0: 8740, 50: 91260}, - ("FourAndFiveFullHouse", 8, 6): {0: 4550, 50: 95450}, - ("FourAndFiveFullHouse", 8, 7): {0: 2218, 50: 97782}, - ("FourAndFiveFullHouse", 8, 8): {0: 1084, 50: 98916}, -} +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: 42669, 2: 9265}, ('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, 1: 16717, 2: 43782, 3: 37367}, ('Category Ones', 3, 8): {0: 1280, 1: 12567, 2: 40951, 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: 26967, 3: 8909}, ('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, 1: 15336, 2: 34536, 3: 34496, 4: 12992}, ('Category Ones', 4, 6): {0: 1253, 1: 10073, 2: 29743, 3: 39298, 4: 19633}, ('Category Ones', 4, 7): {0: 6915, 2: 24313, 3: 41680, 4: 27092}, ('Category Ones', 4, 8): {0: 4228, 2: 19045, 3: 42267, 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: 24952, 4: 10435}, ('Category Ones', 5, 4): {0: 2552, 1: 14157, 2: 30176, 3: 32048, 4: 21067}, ('Category Ones', 5, 5): {0: 8783, 2: 23245, 3: 34614, 4: 33358}, ('Category Ones', 5, 6): {0: 4513, 2: 16702, 3: 32901, 4: 32816, 5: 13068}, ('Category Ones', 5, 7): {0: 2295, 2: 11497, 3: 28973, 4: 37869, 5: 19366}, ('Category Ones', 5, 8): {0: 73, 1: 8476, 3: 24639, 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, 1: 16463, 2: 30197, 3: 28928, 4: 20648}, ('Category Ones', 6, 4): {0: 1231, 1: 8093, 2: 21790, 3: 31038, 4: 25136, 5: 12712}, ('Category Ones', 6, 5): {0: 4208, 2: 14029, 3: 27868, 4: 30878, 5: 23017}, ('Category Ones', 6, 6): {0: 1850, 2: 8389, 3: 22007, 4: 33022, 5: 26133, 6: 8599}, ('Category Ones', 6, 7): {0: 5503, 3: 16397, 4: 31702, 5: 32432, 6: 13966}, ('Category Ones', 6, 8): {0: 2896, 3: 11500, 4: 28116, 5: 37005, 6: 20483}, ('Category Ones', 7, 0): {0: 100000}, ('Category Ones', 7, 1): {0: 27838, 1: 39224, 2: 23331, 3: 9607}, ('Category Ones', 7, 2): {0: 7796, 1: 23850, 2: 31678, 3: 23224, 4: 13452}, ('Category Ones', 7, 3): {0: 2247, 1: 11142, 2: 24317, 3: 29131, 4: 21297, 5: 11866}, ('Category Ones', 7, 4): {0: 5252, 2: 14787, 3: 26420, 4: 28065, 5: 25476}, ('Category Ones', 7, 5): {0: 174, 1: 9680, 3: 19667, 4: 28867, 5: 26190, 6: 15422}, ('Category Ones', 7, 6): {0: 4625, 3: 12915, 4: 25653, 5: 30596, 6: 26211}, ('Category Ones', 7, 7): {0: 230, 2: 9745, 4: 20364, 5: 32077, 6: 27540, 7: 10044}, ('Category Ones', 7, 8): {0: 5519, 4: 15425, 5: 30293, 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, 1: 19058, 2: 29314, 3: 25847, 4: 20309}, ('Category Ones', 8, 3): {0: 8661, 2: 18864, 3: 27032, 4: 24664, 5: 20779}, ('Category Ones', 8, 4): {0: 2807, 2: 9318, 3: 20389, 4: 27157, 5: 23430, 6: 16899}, ('Category Ones', 8, 5): {0: 5173, 3: 12395, 4: 23638, 5: 27792, 6: 20582, 7: 10420}, ('Category Ones', 8, 6): {0: 255, 2: 8617, 4: 17025, 5: 27508, 6: 27112, 7: 19483}, ('Category Ones', 8, 7): {0: 4236, 4: 11343, 5: 23980, 6: 30438, 7: 30003}, ('Category Ones', 8, 8): {0: 310, 3: 8797, 5: 18895, 6: 30830, 7: 29143, 8: 12025}, ('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, 2: 9910, 4: 29706, 6: 39523, 8: 19602}, ('Category Twos', 4, 7): {0: 622, 2: 6323, 4: 24103, 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, 2: 7984, 4: 23643, 6: 33993, 8: 25853, 10: 7495}, ('Category Twos', 5, 6): {0: 450, 2: 4152, 4: 16541, 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, 4: 7571, 6: 23993, 8: 40798, 10: 26467}, ('Category Twos', 6, 0): {0: 100000}, ('Category Twos', 6, 1): {0: 33502, 2: 40413, 4: 19717, 6: 6368}, ('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: 15825, 10: 5146}, ('Category Twos', 6, 4): {0: 1243, 2: 8048, 4: 21977, 6: 31053, 8: 25066, 10: 12613}, ('Category Twos', 6, 5): {0: 4194, 4: 13949, 6: 28142, 8: 30723, 10: 18355, 12: 4637}, ('Category Twos', 6, 6): {0: 1800, 4: 8455, 6: 22222, 8: 32692, 10: 26213, 12: 8618}, ('Category Twos', 6, 7): {0: 775, 4: 4871, 6: 16142, 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, 2: 4465, 4: 14571, 6: 26395, 8: 28409, 10: 18080, 12: 7516}, ('Category Twos', 7, 5): {0: 1913, 4: 7911, 6: 19287, 8: 29039, 10: 26129, 12: 15721}, ('Category Twos', 7, 6): {0: 54, 2: 4609, 6: 12897, 8: 25752, 10: 30413, 12: 20324, 14: 5951}, ('Category Twos', 7, 7): {0: 2179, 6: 8007, 8: 20334, 10: 32054, 12: 27347, 14: 10079}, ('Category Twos', 7, 8): {0: 942, 6: 4602, 8: 15233, 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: 14198, 10: 6325}, ('Category Twos', 8, 3): {0: 1271, 2: 7289, 4: 18793, 6: 27054, 8: 24712, 10: 14462, 12: 6419}, ('Category Twos', 8, 4): {0: 2889, 4: 9310, 6: 20242, 8: 27389, 10: 23232, 12: 12609, 14: 4329}, ('Category Twos', 8, 5): {0: 879, 4: 4184, 6: 12669, 8: 23322, 10: 27882, 12: 20768, 14: 10296}, ('Category Twos', 8, 6): {0: 2041, 6: 6992, 8: 17148, 10: 27398, 12: 27048, 14: 19373}, ('Category Twos', 8, 7): {0: 74, 4: 4214, 8: 11479, 10: 23675, 12: 30829, 14: 22454, 16: 7275}, ('Category Twos', 8, 8): {2: 2053, 8: 6980, 10: 18697, 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: 27798, 6: 2783}, ('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: 19213, 9: 2887}, ('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: 17221, 12: 3183}, ('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, 3: 6322, 6: 24420, 9: 41614, 12: 27045}, ('Category Threes', 4, 8): {0: 309, 3: 3876, 6: 18843, 9: 42236, 12: 34736}, ('Category Threes', 5, 0): {0: 100000}, ('Category Threes', 5, 1): {0: 40183, 3: 40377, 6: 16039, 9: 3401}, ('Category Threes', 5, 2): {0: 16197, 3: 35494, 6: 30937, 9: 13946, 12: 3426}, ('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: 17169, 15: 3618}, ('Category Threes', 5, 5): {0: 1075, 3: 7804, 6: 23010, 9: 34811, 12: 25702, 15: 7598}, ('Category Threes', 5, 6): {0: 418, 3: 4234, 6: 16654, 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, 3: 3820, 6: 13949, 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, 6: 4728, 9: 16346, 12: 31385, 15: 32666, 18: 14084}, ('Category Threes', 6, 8): {0: 20, 3: 2948, 9: 11202, 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: 10218, 15: 3150}, ('Category Threes', 7, 3): {0: 2138, 3: 11098, 6: 24140, 9: 29316, 12: 21386, 15: 11922}, ('Category Threes', 7, 4): {0: 590, 3: 4648, 6: 14737, 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, 6: 3938, 9: 13025, 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, 9: 4747, 12: 15117, 15: 30313, 18: 33133, 21: 15727}, ('Category Threes', 8, 0): {0: 100000}, ('Category Threes', 8, 1): {0: 23337, 3: 37232, 6: 25968, 9: 10377, 12: 3086}, ('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, 6: 4240, 9: 12608, 12: 23248, 15: 27931, 18: 20616, 21: 10452}, ('Category Threes', 8, 6): {0: 1914, 9: 6890, 12: 17302, 15: 27235, 18: 27276, 21: 15571, 24: 3812}, ('Category Threes', 8, 7): {0: 800, 9: 3547, 12: 11580, 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: 27817, 8: 2804}, ('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: 19466, 12: 2803}, ('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}, ('Category Fours', 4, 0): {0: 100000}, ('Category Fours', 4, 1): {0: 48465, 4: 38398, 8: 13137}, ('Category Fours', 4, 2): {0: 23296, 4: 40911, 8: 27073, 12: 8720}, ('Category Fours', 4, 3): {0: 11200, 4: 33191, 8: 35337, 12: 17222, 16: 3050}, ('Category Fours', 4, 4): {0: 5447, 4: 23066, 8: 37441, 12: 26861, 16: 7185}, ('Category Fours', 4, 5): {0: 2533, 4: 15668, 8: 34781, 12: 34222, 16: 12796}, ('Category Fours', 4, 6): {0: 1314, 4: 10001, 8: 29850, 12: 39425, 16: 19410}, ('Category Fours', 4, 7): {0: 592, 4: 6231, 8: 24250, 12: 41917, 16: 27010}, ('Category Fours', 4, 8): {0: 302, 4: 3887, 8: 19168, 12: 41866, 16: 34777}, ('Category Fours', 5, 0): {0: 100000}, ('Category Fours', 5, 1): {0: 40215, 4: 40127, 8: 16028, 12: 3630}, ('Category Fours', 5, 2): {0: 15946, 4: 35579, 8: 31158, 12: 13998, 16: 3319}, ('Category Fours', 5, 3): {0: 6479, 4: 23705, 8: 34575, 12: 24783, 16: 10458}, ('Category Fours', 5, 4): {0: 2635, 4: 13889, 8: 30079, 12: 32428, 16: 17263, 20: 3706}, ('Category Fours', 5, 5): {0: 1160, 4: 7756, 8: 23332, 12: 34254, 16: 25803, 20: 7695}, ('Category Fours', 5, 6): {0: 434, 4: 4248, 8: 16525, 12: 32910, 16: 32752, 20: 13131}, ('Category Fours', 5, 7): {0: 169, 4: 2122, 8: 11414, 12: 29123, 16: 37701, 20: 19471}, ('Category Fours', 5, 8): {0: 1267, 8: 7340, 12: 24807, 16: 40144, 20: 26442}, ('Category Fours', 6, 0): {0: 100000}, ('Category Fours', 6, 1): {0: 33632, 4: 39856, 8: 20225, 12: 6287}, ('Category Fours', 6, 2): {0: 11175, 4: 29824, 8: 32381, 12: 19179, 16: 7441}, ('Category Fours', 6, 3): {0: 3698, 4: 16329, 8: 29939, 12: 29071, 16: 15808, 20: 5155}, ('Category Fours', 6, 4): {0: 1284, 4: 7889, 8: 21748, 12: 31107, 16: 25281, 20: 12691}, ('Category Fours', 6, 5): {0: 462, 4: 3792, 8: 13809, 12: 27817, 16: 31233, 20: 18386, 24: 4501}, ('Category Fours', 6, 6): {0: 1783, 8: 8344, 12: 22156, 16: 32690, 20: 26192, 24: 8835}, ('Category Fours', 6, 7): {0: 767, 8: 4689, 12: 16285, 16: 31490, 20: 32639, 24: 14130}, ('Category Fours', 6, 8): {0: 357, 8: 2524, 12: 11388, 16: 27841, 20: 37380, 24: 20510}, ('Category Fours', 7, 0): {0: 100000}, ('Category Fours', 7, 1): {0: 27821, 4: 39289, 8: 23327, 12: 9563}, ('Category Fours', 7, 2): {0: 7950, 4: 24026, 8: 31633, 12: 23169, 16: 10162, 20: 3060}, ('Category Fours', 7, 3): {0: 2194, 4: 11153, 8: 24107, 12: 29411, 16: 21390, 20: 9251, 24: 2494}, ('Category Fours', 7, 4): {0: 560, 4: 4503, 8: 14788, 12: 26330, 16: 28118, 20: 18174, 24: 7527}, ('Category Fours', 7, 5): {0: 1858, 8: 7862, 12: 19425, 16: 29003, 20: 26113, 24: 12972, 28: 2767}, ('Category Fours', 7, 6): {0: 679, 8: 3896, 12: 12863, 16: 25831, 20: 30724, 24: 20147, 28: 5860}, ('Category Fours', 7, 7): {0: 13, 4: 2085, 12: 7978, 16: 20524, 20: 31843, 24: 27368, 28: 10189}, ('Category Fours', 7, 8): {4: 864, 12: 4712, 16: 15198, 20: 30153, 24: 33428, 28: 15645}, ('Category Fours', 8, 0): {0: 100000}, ('Category Fours', 8, 1): {0: 23275, 4: 37161, 8: 25964, 12: 10570, 16: 3030}, ('Category Fours', 8, 2): {0: 5421, 4: 19014, 8: 29259, 12: 25812, 16: 14387, 20: 6107}, ('Category Fours', 8, 3): {0: 1277, 4: 7349, 8: 18330, 12: 27186, 16: 25138, 20: 14371, 24: 6349}, ('Category Fours', 8, 4): {0: 289, 4: 2563, 8: 9366, 12: 20282, 16: 26960, 20: 23292, 24: 12927, 28: 4321}, ('Category Fours', 8, 5): {0: 835, 8: 4214, 12: 12492, 16: 23588, 20: 27754, 24: 20767, 28: 10350}, ('Category Fours', 8, 6): {0: 21, 4: 2019, 12: 6892, 16: 17296, 20: 27398, 24: 27074, 28: 15457, 32: 3843}, ('Category Fours', 8, 7): {0: 745, 12: 3649, 16: 11420, 20: 23737, 24: 30628, 28: 22590, 32: 7231}, ('Category Fours', 8, 8): {0: 1949, 16: 7021, 20: 18630, 24: 31109, 28: 29548, 32: 11743}, ('Category Fives', 0, 0): {0: 100000}, ('Category Fives', 0, 1): {0: 100000}, ('Category Fives', 0, 2): {0: 100000}, ('Category Fives', 0, 3): {0: 100000}, ('Category Fives', 0, 4): {0: 100000}, ('Category Fives', 0, 5): {0: 100000}, ('Category Fives', 0, 6): {0: 100000}, ('Category Fives', 0, 7): {0: 100000}, ('Category Fives', 0, 8): {0: 100000}, ('Category Fives', 1, 0): {0: 100000}, ('Category Fives', 1, 1): {0: 83338, 5: 16662}, ('Category Fives', 1, 2): {0: 69499, 5: 30501}, ('Category Fives', 1, 3): {0: 57799, 5: 42201}, ('Category Fives', 1, 4): {0: 48311, 5: 51689}, ('Category Fives', 1, 5): {0: 40084, 5: 59916}, ('Category Fives', 1, 6): {0: 33440, 5: 66560}, ('Category Fives', 1, 7): {0: 27730, 5: 72270}, ('Category Fives', 1, 8): {0: 23210, 5: 76790}, ('Category Fives', 2, 0): {0: 100000}, ('Category Fives', 2, 1): {0: 69299, 5: 27864, 10: 2837}, ('Category Fives', 2, 2): {0: 48156, 5: 42526, 10: 9318}, ('Category Fives', 2, 3): {0: 33225, 5: 49153, 10: 17622}, ('Category Fives', 2, 4): {0: 23218, 5: 50075, 10: 26707}, ('Category Fives', 2, 5): {0: 15939, 5: 48313, 10: 35748}, ('Category Fives', 2, 6): {0: 11340, 5: 44324, 10: 44336}, ('Category Fives', 2, 7): {0: 7822, 5: 40388, 10: 51790}, ('Category Fives', 2, 8): {0: 5386, 5: 35636, 10: 58978}, ('Category Fives', 3, 0): {0: 100000}, ('Category Fives', 3, 1): {0: 58034, 5: 34541, 10: 7425}, ('Category Fives', 3, 2): {0: 33466, 5: 44227, 10: 19403, 15: 2904}, ('Category Fives', 3, 3): {0: 19231, 5: 42483, 10: 30794, 15: 7492}, ('Category Fives', 3, 4): {0: 11196, 5: 36192, 10: 38673, 15: 13939}, ('Category Fives', 3, 5): {0: 6561, 5: 29163, 10: 43014, 15: 21262}, ('Category Fives', 3, 6): {0: 3719, 5: 22181, 10: 44611, 15: 29489}, ('Category Fives', 3, 7): {0: 2099, 5: 16817, 10: 43466, 15: 37618}, ('Category Fives', 3, 8): {0: 1281, 5: 12473, 10: 40936, 15: 45310}, ('Category Fives', 4, 0): {0: 100000}, ('Category Fives', 4, 1): {0: 48377, 5: 38345, 10: 11611, 15: 1667}, ('Category Fives', 4, 2): {0: 23126, 5: 40940, 10: 27041, 15: 8893}, ('Category Fives', 4, 3): {0: 11192, 5: 32597, 10: 35753, 15: 17250, 20: 3208}, ('Category Fives', 4, 4): {0: 5362, 5: 23073, 10: 37379, 15: 26968, 20: 7218}, ('Category Fives', 4, 5): {0: 2655, 5: 15662, 10: 34602, 15: 34186, 20: 12895}, ('Category Fives', 4, 6): {0: 1291, 5: 9959, 10: 29833, 15: 39417, 20: 19500}, ('Category Fives', 4, 7): {0: 623, 5: 6231, 10: 24360, 15: 41779, 20: 27007}, ('Category Fives', 4, 8): {0: 313, 5: 3837, 10: 19164, 15: 41957, 20: 34729}, ('Category Fives', 5, 0): {0: 100000}, ('Category Fives', 5, 1): {0: 39911, 5: 40561, 10: 16029, 15: 3499}, ('Category Fives', 5, 2): {0: 16178, 5: 35517, 10: 31246, 15: 13793, 20: 3266}, ('Category Fives', 5, 3): {0: 6526, 5: 23716, 10: 34430, 15: 25017, 20: 10311}, ('Category Fives', 5, 4): {0: 2615, 5: 13975, 10: 30133, 15: 32247, 20: 17219, 25: 3811}, ('Category Fives', 5, 5): {0: 1063, 5: 7876, 10: 23203, 15: 34489, 20: 25757, 25: 7612}, ('Category Fives', 5, 6): {0: 429, 5: 4091, 10: 16696, 15: 32855, 20: 32891, 25: 13038}, ('Category Fives', 5, 7): {0: 159, 5: 2211, 10: 11298, 15: 29416, 20: 37778, 25: 19138}, ('Category Fives', 5, 8): {0: 1179, 10: 7453, 15: 24456, 20: 40615, 25: 26297}, ('Category Fives', 6, 0): {0: 100000}, ('Category Fives', 6, 1): {0: 33476, 5: 40167, 10: 20181, 15: 6176}, ('Category Fives', 6, 2): {0: 11322, 5: 29613, 10: 32664, 15: 19004, 20: 7397}, ('Category Fives', 6, 3): {0: 3765, 5: 16288, 10: 29770, 15: 29233, 20: 15759, 25: 5185}, ('Category Fives', 6, 4): {0: 1201, 5: 8226, 10: 21518, 15: 31229, 20: 25160, 25: 10712, 30: 1954}, ('Category Fives', 6, 5): {0: 433, 5: 3874, 10: 14005, 15: 27961, 20: 30800, 25: 18442, 30: 4485}, ('Category Fives', 6, 6): {0: 141, 5: 1686, 10: 8354, 15: 22226, 20: 32744, 25: 26341, 30: 8508}, ('Category Fives', 6, 7): {0: 772, 10: 4724, 15: 16206, 20: 31363, 25: 32784, 30: 14151}, ('Category Fives', 6, 8): {0: 297, 10: 2623, 15: 11279, 20: 28004, 25: 37178, 30: 20619}, ('Category Fives', 7, 0): {0: 100000}, ('Category Fives', 7, 1): {0: 27826, 5: 39154, 10: 23567, 15: 7734, 20: 1719}, ('Category Fives', 7, 2): {0: 7609, 5: 24193, 10: 31722, 15: 23214, 20: 10140, 25: 3122}, ('Category Fives', 7, 3): {0: 2262, 5: 11013, 10: 24443, 15: 29307, 20: 21387, 25: 9164, 30: 2424}, ('Category Fives', 7, 4): {0: 618, 5: 4583, 10: 14761, 15: 26159, 20: 28335, 25: 18050, 30: 7494}, ('Category Fives', 7, 5): {0: 183, 5: 1707, 10: 7909, 15: 19685, 20: 28915, 25: 26000, 30: 12883, 35: 2718}, ('Category Fives', 7, 6): {0: 670, 10: 3836, 15: 13042, 20: 25572, 25: 30456, 30: 20695, 35: 5729}, ('Category Fives', 7, 7): {0: 255, 10: 1852, 15: 7866, 20: 20696, 25: 31883, 30: 27333, 35: 10115}, ('Category Fives', 7, 8): {0: 927, 15: 4700, 20: 15292, 25: 30298, 30: 33015, 35: 15768}, ('Category Fives', 8, 0): {0: 100000}, ('Category Fives', 8, 1): {0: 23333, 5: 37259, 10: 25947, 15: 10392, 20: 3069}, ('Category Fives', 8, 2): {0: 5425, 5: 18915, 10: 29380, 15: 25994, 20: 14056, 25: 6230}, ('Category Fives', 8, 3): {0: 1258, 5: 7317, 10: 18783, 15: 27375, 20: 24542, 25: 14322, 30: 6403}, ('Category Fives', 8, 4): {0: 271, 5: 2481, 10: 9383, 15: 20267, 20: 27158, 25: 23589, 30: 12529, 35: 4322}, ('Category Fives', 8, 5): {0: 943, 10: 4260, 15: 12456, 20: 23115, 25: 27968, 30: 20704, 35: 8917, 40: 1637}, ('Category Fives', 8, 6): {0: 281, 10: 1689, 15: 6936, 20: 17201, 25: 27484, 30: 27178, 35: 15414, 40: 3817}, ('Category Fives', 8, 7): {0: 746, 15: 3535, 20: 11429, 25: 23717, 30: 30426, 35: 22677, 40: 7470}, ('Category Fives', 8, 8): {0: 261, 15: 1779, 20: 7148, 25: 18714, 30: 31084, 35: 29126, 40: 11888}, ('Category Sixes', 0, 0): {0: 100000}, ('Category Sixes', 0, 1): {0: 100000}, ('Category Sixes', 0, 2): {0: 100000}, ('Category Sixes', 0, 3): {0: 100000}, ('Category Sixes', 0, 4): {0: 100000}, ('Category Sixes', 0, 5): {0: 100000}, ('Category Sixes', 0, 6): {0: 100000}, ('Category Sixes', 0, 7): {0: 100000}, ('Category Sixes', 0, 8): {0: 100000}, ('Category Sixes', 1, 0): {0: 100000}, ('Category Sixes', 1, 1): {0: 83168, 6: 16832}, ('Category Sixes', 1, 2): {0: 69548, 6: 30452}, ('Category Sixes', 1, 3): {0: 57697, 6: 42303}, ('Category Sixes', 1, 4): {0: 48043, 6: 51957}, ('Category Sixes', 1, 5): {0: 39912, 6: 60088}, ('Category Sixes', 1, 6): {0: 33499, 6: 66501}, ('Category Sixes', 1, 7): {0: 28251, 6: 71749}, ('Category Sixes', 1, 8): {0: 23206, 6: 76794}, ('Category Sixes', 2, 0): {0: 100000}, ('Category Sixes', 2, 1): {0: 69463, 6: 27651, 12: 2886}, ('Category Sixes', 2, 2): {0: 47896, 6: 42794, 12: 9310}, ('Category Sixes', 2, 3): {0: 33394, 6: 48757, 12: 17849}, ('Category Sixes', 2, 4): {0: 23552, 6: 49554, 12: 26894}, ('Category Sixes', 2, 5): {0: 16090, 6: 48098, 12: 35812}, ('Category Sixes', 2, 6): {0: 11073, 6: 44833, 12: 44094}, ('Category Sixes', 2, 7): {0: 7737, 6: 40480, 12: 51783}, ('Category Sixes', 2, 8): {0: 5379, 6: 35672, 12: 58949}, ('Category Sixes', 3, 0): {0: 100000}, ('Category Sixes', 3, 1): {0: 57718, 6: 34818, 12: 7464}, ('Category Sixes', 3, 2): {0: 33610, 6: 44328, 12: 19159, 18: 2903}, ('Category Sixes', 3, 3): {0: 19366, 6: 42246, 12: 30952, 18: 7436}, ('Category Sixes', 3, 4): {0: 11144, 6: 36281, 12: 38817, 18: 13758}, ('Category Sixes', 3, 5): {0: 6414, 6: 28891, 12: 43114, 18: 21581}, ('Category Sixes', 3, 6): {0: 3870, 6: 22394, 12: 44318, 18: 29418}, ('Category Sixes', 3, 7): {0: 2188, 6: 16803, 12: 43487, 18: 37522}, ('Category Sixes', 3, 8): {0: 1289, 6: 12421, 12: 41082, 18: 45208}, ('Category Sixes', 4, 0): {0: 100000}, ('Category Sixes', 4, 1): {0: 48197, 6: 38521, 12: 11677, 18: 1605}, ('Category Sixes', 4, 2): {0: 23155, 6: 41179, 12: 26935, 18: 8731}, ('Category Sixes', 4, 3): {0: 11256, 6: 32609, 12: 35588, 18: 17390, 24: 3157}, ('Category Sixes', 4, 4): {0: 5324, 6: 23265, 12: 37209, 18: 26929, 24: 7273}, ('Category Sixes', 4, 5): {0: 2658, 6: 15488, 12: 34685, 18: 34476, 24: 12693}, ('Category Sixes', 4, 6): {0: 1282, 6: 9997, 12: 29855, 18: 39379, 24: 19487}, ('Category Sixes', 4, 7): {0: 588, 6: 6202, 12: 24396, 18: 41935, 24: 26879}, ('Category Sixes', 4, 8): {0: 317, 6: 3863, 12: 19042, 18: 42180, 24: 34598}, ('Category Sixes', 5, 0): {0: 100000}, ('Category Sixes', 5, 1): {0: 40393, 6: 39904, 12: 16206, 18: 3497}, ('Category Sixes', 5, 2): {0: 16202, 6: 35664, 12: 31241, 18: 13612, 24: 3281}, ('Category Sixes', 5, 3): {0: 6456, 6: 23539, 12: 34585, 18: 25020, 24: 10400}, ('Category Sixes', 5, 4): {0: 2581, 6: 13980, 12: 30355, 18: 32198, 24: 17115, 30: 3771}, ('Category Sixes', 5, 5): {0: 1119, 6: 7775, 12: 23063, 18: 34716, 24: 25568, 30: 7759}, ('Category Sixes', 5, 6): {0: 392, 6: 4171, 12: 16724, 18: 32792, 24: 32829, 30: 13092}, ('Category Sixes', 5, 7): {0: 197, 6: 2118, 12: 11509, 18: 29190, 24: 37560, 30: 19426}, ('Category Sixes', 5, 8): {0: 1246, 12: 7404, 18: 24560, 24: 40134, 30: 26656}, ('Category Sixes', 6, 0): {0: 100000}, ('Category Sixes', 6, 1): {0: 33316, 6: 40218, 12: 20198, 18: 6268}, ('Category Sixes', 6, 2): {0: 11256, 6: 29444, 12: 32590, 18: 19196, 24: 7514}, ('Category Sixes', 6, 3): {0: 3787, 6: 16266, 12: 29873, 18: 29107, 24: 15863, 30: 5104}, ('Category Sixes', 6, 4): {0: 1286, 6: 8066, 12: 21653, 18: 31264, 24: 25039, 30: 10779, 36: 1913}, ('Category Sixes', 6, 5): {0: 413, 6: 3777, 12: 13962, 18: 27705, 24: 30919, 30: 18670, 36: 4554}, ('Category Sixes', 6, 6): {0: 146, 6: 1658, 12: 8382, 18: 22320, 24: 32923, 30: 26086, 36: 8485}, ('Category Sixes', 6, 7): {0: 814, 12: 4698, 18: 16286, 24: 31577, 30: 32487, 36: 14138}, ('Category Sixes', 6, 8): {0: 328, 12: 2558, 18: 11446, 24: 28064, 30: 37212, 36: 20392}, ('Category Sixes', 7, 0): {0: 100000}, ('Category Sixes', 7, 1): {0: 27852, 6: 38984, 12: 23499, 18: 7935, 24: 1730}, ('Category Sixes', 7, 2): {0: 7883, 6: 23846, 12: 31558, 18: 23295, 24: 10316, 30: 3102}, ('Category Sixes', 7, 3): {0: 2186, 6: 10928, 12: 24321, 18: 29650, 24: 21177, 30: 9209, 36: 2529}, ('Category Sixes', 7, 4): {0: 603, 6: 4459, 12: 14673, 18: 26303, 24: 28335, 30: 18228, 36: 7399}, ('Category Sixes', 7, 5): {0: 172, 6: 1775, 12: 7879, 18: 19381, 24: 29254, 30: 25790, 36: 12992, 42: 2757}, ('Category Sixes', 7, 6): {0: 704, 12: 3864, 18: 13039, 24: 25760, 30: 30698, 36: 20143, 42: 5792}, ('Category Sixes', 7, 7): {0: 257, 12: 1824, 18: 8033, 24: 20557, 30: 31709, 36: 27546, 42: 10074}, ('Category Sixes', 7, 8): {0: 872, 18: 4658, 24: 15419, 30: 30259, 36: 33183, 42: 15609}, ('Category Sixes', 8, 0): {0: 100000}, ('Category Sixes', 8, 1): {0: 23220, 6: 37213, 12: 25961, 18: 10483, 24: 3123}, ('Category Sixes', 8, 2): {0: 5280, 6: 18943, 12: 29664, 18: 25777, 24: 14170, 30: 6166}, ('Category Sixes', 8, 3): {0: 1246, 6: 7112, 12: 18757, 18: 27277, 24: 24802, 30: 14351, 36: 6455}, ('Category Sixes', 8, 4): {0: 301, 6: 2460, 12: 9584, 18: 20247, 24: 27146, 30: 23403, 36: 12524, 42: 4335}, ('Category Sixes', 8, 5): {0: 859, 12: 4241, 18: 12477, 24: 23471, 30: 27655, 36: 20803, 42: 8841, 48: 1653}, ('Category Sixes', 8, 6): {0: 277, 12: 1790, 18: 6866, 24: 17373, 30: 27347, 36: 27024, 42: 15394, 48: 3929}, ('Category Sixes', 8, 7): {0: 766, 18: 3503, 24: 11451, 30: 23581, 36: 30772, 42: 22654, 48: 7273}, ('Category Sixes', 8, 8): {6: 262, 18: 1750, 24: 7116, 30: 18755, 36: 31116, 42: 28870, 48: 12131}, ('Category Choice', 0, 0): {0: 100000}, ('Category Choice', 0, 1): {0: 100000}, ('Category Choice', 0, 2): {0: 100000}, ('Category Choice', 0, 3): {0: 100000}, ('Category Choice', 0, 4): {0: 100000}, ('Category Choice', 0, 5): {0: 100000}, ('Category Choice', 0, 6): {0: 100000}, ('Category Choice', 0, 7): {0: 100000}, ('Category Choice', 0, 8): {0: 100000}, ('Category Choice', 1, 0): {0: 100000}, ('Category Choice', 1, 1): {1: 16642, 2: 16673, 3: 16828, 4: 16600, 5: 16618, 6: 16639}, ('Category Choice', 1, 2): {1: 10921, 2: 11161, 3: 10899, 4: 11333, 5: 27898, 6: 27788}, ('Category Choice', 1, 3): {1: 9416, 2: 9316, 3: 9263, 4: 9338, 5: 22740, 6: 39927}, ('Category Choice', 1, 4): {1: 15490, 3: 15489, 5: 19312, 6: 49709}, ('Category Choice', 1, 5): {1: 12817, 3: 12757, 5: 16005, 6: 58421}, ('Category Choice', 1, 6): {1: 10513, 3: 10719, 5: 13424, 6: 65344}, ('Category Choice', 1, 7): {1: 8893, 3: 8908, 5: 11028, 6: 71171}, ('Category Choice', 1, 8): {1: 3644, 2: 11054, 5: 9298, 6: 76004}, ('Category Choice', 2, 0): {0: 100000}, ('Category Choice', 2, 1): {2: 8504, 4: 8292, 5: 11014, 6: 13681, 7: 16670, 8: 13823, 9: 11170, 10: 8384, 11: 8462}, ('Category Choice', 2, 2): {2: 3714, 4: 8658, 6: 9840, 7: 14772, 8: 13639, 9: 12220, 10: 13755, 11: 23402}, ('Category Choice', 2, 3): {2: 5113, 5: 10402, 7: 13487, 8: 12296, 9: 11489, 10: 12684, 11: 18510, 12: 16019}, ('Category Choice', 2, 4): {2: 1783, 4: 8908, 7: 11794, 8: 11395, 9: 10694, 10: 11421, 11: 19145, 12: 24860}, ('Category Choice', 2, 5): {2: 7575, 7: 10459, 8: 9985, 9: 9457, 10: 10101, 11: 18504, 12: 33919}, ('Category Choice', 2, 6): {2: 5153, 7: 9329, 8: 8711, 9: 8343, 10: 8640, 11: 17310, 12: 42514}, ('Category Choice', 2, 7): {2: 3638, 7: 15197, 9: 14988, 11: 15801, 12: 50376}, ('Category Choice', 2, 8): {2: 2448, 7: 13306, 9: 12754, 11: 14067, 12: 57425}, ('Category Choice', 3, 0): {0: 100000}, ('Category Choice', 3, 1): {3: 4589, 6: 11560, 8: 9834, 9: 11635, 10: 12552, 11: 12455, 12: 11648, 13: 16684, 15: 9043}, ('Category Choice', 3, 2): {3: 1380, 6: 8622, 9: 14417, 11: 10449, 12: 13008, 13: 13398, 14: 11409, 15: 9806, 16: 8963, 17: 8548}, ('Category Choice', 3, 3): {3: 1605, 7: 9370, 10: 13491, 12: 10775, 13: 13633, 14: 12157, 15: 10908, 16: 10859, 17: 17202}, ('Category Choice', 3, 4): {3: 7212, 10: 9977, 12: 8677, 13: 13346, 14: 11945, 15: 10762, 16: 11330, 17: 14452, 18: 12299}, ('Category Choice', 3, 5): {3: 7989, 11: 10756, 13: 12249, 14: 11562, 15: 10586, 16: 11082, 17: 16329, 18: 19447}, ('Category Choice', 3, 6): {3: 3251, 10: 10272, 13: 11050, 14: 10603, 15: 9701, 16: 10252, 17: 17096, 18: 27775}, ('Category Choice', 3, 7): {3: 1018, 9: 8591, 13: 9808, 14: 9250, 15: 9022, 16: 9459, 17: 17010, 18: 35842}, ('Category Choice', 3, 8): {3: 6842, 13: 8621, 14: 8389, 15: 8108, 16: 8392, 17: 16142, 18: 43506}, ('Category Choice', 4, 0): {0: 100000}, ('Category Choice', 4, 1): {4: 5386, 9: 10561, 11: 8105, 12: 9516, 13: 10880, 14: 11229, 15: 10673, 16: 9725, 17: 14274, 19: 9651}, ('Category Choice', 4, 2): {4: 7510, 12: 10646, 14: 8110, 15: 9539, 16: 10496, 17: 11349, 18: 11247, 19: 17705, 21: 13398}, ('Category Choice', 4, 3): {4: 2392, 11: 8547, 14: 13300, 16: 8383, 17: 9883, 18: 11621, 19: 11785, 20: 9895, 21: 15876, 23: 8318}, ('Category Choice', 4, 4): {4: 2258, 12: 8230, 15: 12216, 17: 8169, 18: 10557, 19: 12760, 20: 11157, 21: 9541, 22: 9333, 23: 15779}, ('Category Choice', 4, 5): {4: 2209, 13: 8484, 16: 11343, 18: 9020, 19: 12893, 20: 11414, 21: 10261, 22: 10446, 23: 12551, 24: 11379}, ('Category Choice', 4, 6): {4: 2179, 14: 8704, 17: 12056, 19: 12054, 20: 11246, 21: 10350, 22: 10306, 23: 14883, 24: 18222}, ('Category Choice', 4, 7): {5: 7652, 17: 9283, 19: 11206, 20: 10646, 21: 9719, 22: 10265, 23: 15911, 24: 25318}, ('Category Choice', 4, 8): {5: 3231, 16: 8958, 19: 10211, 20: 9548, 21: 9030, 22: 9596, 23: 16241, 24: 33185}, ('Category Choice', 5, 0): {0: 100000}, ('Category Choice', 5, 1): {5: 1575, 10: 8293, 13: 12130, 15: 8305, 16: 9529, 17: 10211, 18: 9956, 19: 9571, 20: 8205, 21: 12367, 23: 9858}, ('Category Choice', 5, 2): {5: 3298, 14: 10211, 17: 13118, 19: 8702, 20: 9600, 21: 9902, 22: 10013, 23: 9510, 24: 14555, 26: 11091}, ('Category Choice', 5, 3): {6: 2633, 15: 8316, 18: 11302, 20: 8079, 21: 8990, 22: 9536, 23: 10122, 24: 10309, 25: 9165, 26: 13088, 28: 8460}, ('Category Choice', 5, 4): {5: 4084, 17: 9592, 20: 13422, 22: 8263, 23: 9471, 24: 10886, 25: 11012, 26: 9341, 27: 14979, 29: 8950}, ('Category Choice', 5, 5): {6: 348, 14: 8075, 20: 10195, 22: 14679, 24: 10206, 25: 12129, 26: 10402, 27: 9106, 28: 8745, 29: 16115}, ('Category Choice', 5, 6): {7: 3204, 19: 9258, 22: 11859, 24: 9077, 25: 12335, 26: 11056, 27: 9839, 28: 9678, 29: 11896, 30: 11798}, ('Category Choice', 5, 7): {8: 2983, 20: 9564, 23: 12501, 25: 11791, 26: 10837, 27: 9773, 28: 10189, 29: 14323, 30: 18039}, ('Category Choice', 5, 8): {9: 323, 17: 8259, 23: 9688, 25: 11074, 26: 10403, 27: 9715, 28: 9897, 29: 15421, 30: 25220}, ('Category Choice', 6, 0): {0: 100000}, ('Category Choice', 6, 1): {6: 6102, 15: 8311, 17: 13435, 19: 8212, 20: 8945, 21: 9367, 22: 9220, 23: 15784, 25: 11086, 27: 9538}, ('Category Choice', 6, 2): {8: 1504, 16: 8676, 20: 10032, 22: 14673, 24: 8800, 25: 9290, 26: 9222, 27: 16609, 29: 12133, 31: 9061}, ('Category Choice', 6, 3): {6: 1896, 18: 8914, 22: 10226, 24: 14822, 26: 8870, 27: 9225, 28: 9118, 29: 9042, 30: 8077, 31: 11749, 33: 8061}, ('Category Choice', 6, 4): {9: 441, 17: 8018, 23: 8603, 25: 13850, 27: 8452, 28: 8910, 29: 9441, 30: 9858, 31: 9026, 32: 13391, 34: 10010}, ('Category Choice', 6, 5): {10: 1788, 21: 8763, 25: 10319, 27: 14763, 29: 8850, 30: 10288, 31: 11006, 32: 9067, 33: 14812, 35: 10344}, ('Category Choice', 6, 6): {13: 876, 21: 8303, 26: 9813, 28: 14273, 30: 9632, 31: 11682, 32: 10420, 33: 9115, 34: 8614, 35: 17272}, ('Category Choice', 6, 7): {12: 3570, 25: 9625, 28: 11348, 30: 8579, 31: 11844, 32: 10723, 33: 9746, 34: 9580, 35: 12063, 36: 12922}, ('Category Choice', 6, 8): {12: 3450, 26: 9544, 29: 12230, 31: 11529, 32: 10601, 33: 9674, 34: 9888, 35: 14109, 36: 18975}, ('Category Choice', 7, 0): {0: 100000}, ('Category Choice', 7, 1): {7: 1237, 15: 8100, 19: 9820, 21: 14127, 23: 8119, 24: 8658, 25: 8584, 26: 8246, 27: 13940, 29: 9736, 31: 9433}, ('Category Choice', 7, 2): {10: 2086, 20: 8960, 24: 9667, 26: 13990, 28: 8075, 29: 8544, 30: 8645, 31: 15759, 33: 12356, 35: 11918}, ('Category Choice', 7, 3): {10: 4980, 24: 9637, 27: 11247, 29: 15046, 31: 8536, 32: 8692, 33: 16264, 35: 13130, 37: 12468}, ('Category Choice', 7, 4): {13: 2260, 24: 8651, 28: 9401, 30: 13621, 32: 8315, 33: 8544, 34: 8797, 35: 8640, 36: 8345, 37: 12925, 39: 10501}, ('Category Choice', 7, 5): {12: 3879, 27: 8154, 30: 10292, 32: 14692, 34: 8605, 35: 9013, 36: 9807, 37: 9314, 38: 14282, 40: 11962}, ('Category Choice', 7, 6): {14: 1957, 27: 8230, 31: 9649, 33: 14296, 35: 8456, 36: 9866, 37: 10964, 38: 9214, 39: 15305, 41: 12063}, ('Category Choice', 7, 7): {16: 599, 26: 8344, 32: 9424, 34: 13557, 36: 9373, 37: 11510, 38: 10233, 39: 9031, 40: 8781, 41: 10070, 42: 9078}, ('Category Choice', 7, 8): {14: 1, 17: 3638, 31: 8907, 34: 10904, 36: 8240, 37: 11908, 38: 10538, 39: 9681, 40: 9402, 41: 12225, 42: 14556}, ('Category Choice', 8, 0): {0: 100000}, ('Category Choice', 8, 1): {10: 752, 17: 8385, 22: 8721, 24: 12739, 26: 15361, 28: 8093, 29: 15420, 31: 12710, 33: 8800, 35: 9019}, ('Category Choice', 8, 2): {11: 5900, 26: 10331, 29: 11435, 31: 14533, 33: 8107, 34: 15832, 36: 13855, 38: 10165, 40: 9842}, ('Category Choice', 8, 3): {12: 2241, 26: 8099, 30: 8456, 32: 12018, 34: 14786, 36: 8217, 37: 8047, 38: 14876, 40: 11751, 42: 11509}, ('Category Choice', 8, 4): {16: 1327, 27: 8361, 32: 8125, 34: 11740, 36: 15078, 38: 8522, 39: 8280, 40: 15523, 42: 12218, 44: 10826}, ('Category Choice', 8, 5): {16: 4986, 32: 9031, 35: 10214, 37: 14528, 39: 8295, 40: 8603, 41: 8710, 42: 16131, 44: 11245, 46: 8257}, ('Category Choice', 8, 6): {16: 2392, 32: 8742, 36: 9303, 38: 13934, 40: 8083, 41: 8845, 42: 9405, 43: 9707, 44: 8244, 45: 12774, 47: 8571}, ('Category Choice', 8, 7): {20: 1130, 32: 8231, 37: 8931, 39: 13206, 41: 8066, 42: 9590, 43: 11127, 44: 9360, 45: 15861, 47: 14498}, ('Category Choice', 8, 8): {20: 73, 28: 8033, 38: 8745, 40: 12925, 42: 8984, 43: 11631, 44: 10176, 45: 9102, 46: 8827, 47: 10686, 48: 10818}, ('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, 2: 16673, 3: 16828, 4: 16600, 5: 16618, 6: 16639}, ('Category Inverse Choice', 1, 2): {1: 10921, 2: 11161, 3: 10899, 4: 11333, 5: 27898, 6: 27788}, ('Category Inverse Choice', 1, 3): {1: 9416, 2: 9316, 3: 9263, 4: 9338, 5: 22740, 6: 39927}, ('Category Inverse Choice', 1, 4): {1: 15490, 3: 15489, 5: 19312, 6: 49709}, ('Category Inverse Choice', 1, 5): {1: 12817, 3: 12757, 5: 16005, 6: 58421}, ('Category Inverse Choice', 1, 6): {1: 10513, 3: 10719, 5: 13424, 6: 65344}, ('Category Inverse Choice', 1, 7): {1: 8893, 3: 8908, 5: 11028, 6: 71171}, ('Category Inverse Choice', 1, 8): {1: 3644, 2: 11054, 5: 9298, 6: 76004}, ('Category Inverse Choice', 2, 0): {0: 100000}, ('Category Inverse Choice', 2, 1): {2: 8504, 4: 8292, 5: 11014, 6: 13681, 7: 16670, 8: 13823, 9: 11170, 10: 8384, 11: 8462}, ('Category Inverse Choice', 2, 2): {2: 3714, 4: 8658, 6: 9840, 7: 14772, 8: 13639, 9: 12220, 10: 13755, 11: 23402}, ('Category Inverse Choice', 2, 3): {2: 5113, 5: 10402, 7: 13487, 8: 12296, 9: 11489, 10: 12684, 11: 18510, 12: 16019}, ('Category Inverse Choice', 2, 4): {2: 1783, 4: 8908, 7: 11794, 8: 11395, 9: 10694, 10: 11421, 11: 19145, 12: 24860}, ('Category Inverse Choice', 2, 5): {2: 7575, 7: 10459, 8: 9985, 9: 9457, 10: 10101, 11: 18504, 12: 33919}, ('Category Inverse Choice', 2, 6): {2: 5153, 7: 9329, 8: 8711, 9: 8343, 10: 8640, 11: 17310, 12: 42514}, ('Category Inverse Choice', 2, 7): {2: 3638, 7: 15197, 9: 14988, 11: 15801, 12: 50376}, ('Category Inverse Choice', 2, 8): {2: 2448, 7: 13306, 9: 12754, 11: 14067, 12: 57425}, ('Category Inverse Choice', 3, 0): {0: 100000}, ('Category Inverse Choice', 3, 1): {3: 4589, 6: 11560, 8: 9834, 9: 11635, 10: 12552, 11: 12455, 12: 11648, 13: 16684, 15: 9043}, ('Category Inverse Choice', 3, 2): {3: 1380, 6: 8622, 9: 14417, 11: 10449, 12: 13008, 13: 13398, 14: 11409, 15: 9806, 16: 8963, 17: 8548}, ('Category Inverse Choice', 3, 3): {3: 1605, 7: 9370, 10: 13491, 12: 10775, 13: 13633, 14: 12157, 15: 10908, 16: 10859, 17: 17202}, ('Category Inverse Choice', 3, 4): {3: 7212, 10: 9977, 12: 8677, 13: 13346, 14: 11945, 15: 10762, 16: 11330, 17: 14452, 18: 12299}, ('Category Inverse Choice', 3, 5): {3: 7989, 11: 10756, 13: 12249, 14: 11562, 15: 10586, 16: 11082, 17: 16329, 18: 19447}, ('Category Inverse Choice', 3, 6): {3: 3251, 10: 10272, 13: 11050, 14: 10603, 15: 9701, 16: 10252, 17: 17096, 18: 27775}, ('Category Inverse Choice', 3, 7): {3: 1018, 9: 8591, 13: 9808, 14: 9250, 15: 9022, 16: 9459, 17: 17010, 18: 35842}, ('Category Inverse Choice', 3, 8): {3: 6842, 13: 8621, 14: 8389, 15: 8108, 16: 8392, 17: 16142, 18: 43506}, ('Category Inverse Choice', 4, 0): {0: 100000}, ('Category Inverse Choice', 4, 1): {4: 5386, 9: 10561, 11: 8105, 12: 9516, 13: 10880, 14: 11229, 15: 10673, 16: 9725, 17: 14274, 19: 9651}, ('Category Inverse Choice', 4, 2): {4: 7510, 12: 10646, 14: 8110, 15: 9539, 16: 10496, 17: 11349, 18: 11247, 19: 17705, 21: 13398}, ('Category Inverse Choice', 4, 3): {4: 2392, 11: 8547, 14: 13300, 16: 8383, 17: 9883, 18: 11621, 19: 11785, 20: 9895, 21: 15876, 23: 8318}, ('Category Inverse Choice', 4, 4): {4: 2258, 12: 8230, 15: 12216, 17: 8169, 18: 10557, 19: 12760, 20: 11157, 21: 9541, 22: 9333, 23: 15779}, ('Category Inverse Choice', 4, 5): {4: 2209, 13: 8484, 16: 11343, 18: 9020, 19: 12893, 20: 11414, 21: 10261, 22: 10446, 23: 12551, 24: 11379}, ('Category Inverse Choice', 4, 6): {4: 2179, 14: 8704, 17: 12056, 19: 12054, 20: 11246, 21: 10350, 22: 10306, 23: 14883, 24: 18222}, ('Category Inverse Choice', 4, 7): {5: 7652, 17: 9283, 19: 11206, 20: 10646, 21: 9719, 22: 10265, 23: 15911, 24: 25318}, ('Category Inverse Choice', 4, 8): {5: 3231, 16: 8958, 19: 10211, 20: 9548, 21: 9030, 22: 9596, 23: 16241, 24: 33185}, ('Category Inverse Choice', 5, 0): {0: 100000}, ('Category Inverse Choice', 5, 1): {5: 1575, 10: 8293, 13: 12130, 15: 8305, 16: 9529, 17: 10211, 18: 9956, 19: 9571, 20: 8205, 21: 12367, 23: 9858}, ('Category Inverse Choice', 5, 2): {5: 3298, 14: 10211, 17: 13118, 19: 8702, 20: 9600, 21: 9902, 22: 10013, 23: 9510, 24: 14555, 26: 11091}, ('Category Inverse Choice', 5, 3): {6: 2633, 15: 8316, 18: 11302, 20: 8079, 21: 8990, 22: 9536, 23: 10122, 24: 10309, 25: 9165, 26: 13088, 28: 8460}, ('Category Inverse Choice', 5, 4): {5: 4084, 17: 9592, 20: 13422, 22: 8263, 23: 9471, 24: 10886, 25: 11012, 26: 9341, 27: 14979, 29: 8950}, ('Category Inverse Choice', 5, 5): {6: 348, 14: 8075, 20: 10195, 22: 14679, 24: 10206, 25: 12129, 26: 10402, 27: 9106, 28: 8745, 29: 16115}, ('Category Inverse Choice', 5, 6): {7: 3204, 19: 9258, 22: 11859, 24: 9077, 25: 12335, 26: 11056, 27: 9839, 28: 9678, 29: 11896, 30: 11798}, ('Category Inverse Choice', 5, 7): {8: 2983, 20: 9564, 23: 12501, 25: 11791, 26: 10837, 27: 9773, 28: 10189, 29: 14323, 30: 18039}, ('Category Inverse Choice', 5, 8): {9: 323, 17: 8259, 23: 9688, 25: 11074, 26: 10403, 27: 9715, 28: 9897, 29: 15421, 30: 25220}, ('Category Inverse Choice', 6, 0): {0: 100000}, ('Category Inverse Choice', 6, 1): {6: 6102, 15: 8311, 17: 13435, 19: 8212, 20: 8945, 21: 9367, 22: 9220, 23: 15784, 25: 11086, 27: 9538}, ('Category Inverse Choice', 6, 2): {8: 1504, 16: 8676, 20: 10032, 22: 14673, 24: 8800, 25: 9290, 26: 9222, 27: 16609, 29: 12133, 31: 9061}, ('Category Inverse Choice', 6, 3): {6: 1896, 18: 8914, 22: 10226, 24: 14822, 26: 8870, 27: 9225, 28: 9118, 29: 9042, 30: 8077, 31: 11749, 33: 8061}, ('Category Inverse Choice', 6, 4): {9: 441, 17: 8018, 23: 8603, 25: 13850, 27: 8452, 28: 8910, 29: 9441, 30: 9858, 31: 9026, 32: 13391, 34: 10010}, ('Category Inverse Choice', 6, 5): {10: 1788, 21: 8763, 25: 10319, 27: 14763, 29: 8850, 30: 10288, 31: 11006, 32: 9067, 33: 14812, 35: 10344}, ('Category Inverse Choice', 6, 6): {13: 876, 21: 8303, 26: 9813, 28: 14273, 30: 9632, 31: 11682, 32: 10420, 33: 9115, 34: 8614, 35: 17272}, ('Category Inverse Choice', 6, 7): {12: 3570, 25: 9625, 28: 11348, 30: 8579, 31: 11844, 32: 10723, 33: 9746, 34: 9580, 35: 12063, 36: 12922}, ('Category Inverse Choice', 6, 8): {12: 3450, 26: 9544, 29: 12230, 31: 11529, 32: 10601, 33: 9674, 34: 9888, 35: 14109, 36: 18975}, ('Category Inverse Choice', 7, 0): {0: 100000}, ('Category Inverse Choice', 7, 1): {7: 1237, 15: 8100, 19: 9820, 21: 14127, 23: 8119, 24: 8658, 25: 8584, 26: 8246, 27: 13940, 29: 9736, 31: 9433}, ('Category Inverse Choice', 7, 2): {10: 2086, 20: 8960, 24: 9667, 26: 13990, 28: 8075, 29: 8544, 30: 8645, 31: 15759, 33: 12356, 35: 11918}, ('Category Inverse Choice', 7, 3): {10: 4980, 24: 9637, 27: 11247, 29: 15046, 31: 8536, 32: 8692, 33: 16264, 35: 13130, 37: 12468}, ('Category Inverse Choice', 7, 4): {13: 2260, 24: 8651, 28: 9401, 30: 13621, 32: 8315, 33: 8544, 34: 8797, 35: 8640, 36: 8345, 37: 12925, 39: 10501}, ('Category Inverse Choice', 7, 5): {12: 3879, 27: 8154, 30: 10292, 32: 14692, 34: 8605, 35: 9013, 36: 9807, 37: 9314, 38: 14282, 40: 11962}, ('Category Inverse Choice', 7, 6): {14: 1957, 27: 8230, 31: 9649, 33: 14296, 35: 8456, 36: 9866, 37: 10964, 38: 9214, 39: 15305, 41: 12063}, ('Category Inverse Choice', 7, 7): {16: 599, 26: 8344, 32: 9424, 34: 13557, 36: 9373, 37: 11510, 38: 10233, 39: 9031, 40: 8781, 41: 10070, 42: 9078}, ('Category Inverse Choice', 7, 8): {14: 1, 17: 3638, 31: 8907, 34: 10904, 36: 8240, 37: 11908, 38: 10538, 39: 9681, 40: 9402, 41: 12225, 42: 14556}, ('Category Inverse Choice', 8, 0): {0: 100000}, ('Category Inverse Choice', 8, 1): {10: 752, 17: 8385, 22: 8721, 24: 12739, 26: 15361, 28: 8093, 29: 15420, 31: 12710, 33: 8800, 35: 9019}, ('Category Inverse Choice', 8, 2): {11: 5900, 26: 10331, 29: 11435, 31: 14533, 33: 8107, 34: 15832, 36: 13855, 38: 10165, 40: 9842}, ('Category Inverse Choice', 8, 3): {12: 2241, 26: 8099, 30: 8456, 32: 12018, 34: 14786, 36: 8217, 37: 8047, 38: 14876, 40: 11751, 42: 11509}, ('Category Inverse Choice', 8, 4): {16: 1327, 27: 8361, 32: 8125, 34: 11740, 36: 15078, 38: 8522, 39: 8280, 40: 15523, 42: 12218, 44: 10826}, ('Category Inverse Choice', 8, 5): {16: 4986, 32: 9031, 35: 10214, 37: 14528, 39: 8295, 40: 8603, 41: 8710, 42: 16131, 44: 11245, 46: 8257}, ('Category Inverse Choice', 8, 6): {16: 2392, 32: 8742, 36: 9303, 38: 13934, 40: 8083, 41: 8845, 42: 9405, 43: 9707, 44: 8244, 45: 12774, 47: 8571}, ('Category Inverse Choice', 8, 7): {20: 1130, 32: 8231, 37: 8931, 39: 13206, 41: 8066, 42: 9590, 43: 11127, 44: 9360, 45: 15861, 47: 14498}, ('Category Inverse Choice', 8, 8): {20: 73, 28: 8033, 38: 8745, 40: 12925, 42: 8984, 43: 11631, 44: 10176, 45: 9102, 46: 8827, 47: 10686, 48: 10818}, ('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}, ('Category Four of a Kind', 0, 8): {0: 100000}, ('Category Four of a Kind', 1, 0): {0: 100000}, ('Category Four of a Kind', 1, 1): {0: 100000}, ('Category Four of a Kind', 1, 2): {0: 100000}, ('Category Four of a Kind', 1, 3): {0: 100000}, ('Category Four of a Kind', 1, 4): {0: 100000}, ('Category Four of a Kind', 1, 5): {0: 100000}, ('Category Four of a Kind', 1, 6): {0: 100000}, ('Category Four of a Kind', 1, 7): {0: 100000}, ('Category Four of a Kind', 1, 8): {0: 100000}, ('Category Four of a Kind', 2, 0): {0: 100000}, ('Category Four of a Kind', 2, 1): {0: 100000}, ('Category Four of a Kind', 2, 2): {0: 100000}, ('Category Four of a Kind', 2, 3): {0: 100000}, ('Category Four of a Kind', 2, 4): {0: 100000}, ('Category Four of a Kind', 2, 5): {0: 100000}, ('Category Four of a Kind', 2, 6): {0: 100000}, ('Category Four of a Kind', 2, 7): {0: 100000}, ('Category Four of a Kind', 2, 8): {0: 100000}, ('Category Four of a Kind', 3, 0): {0: 100000}, ('Category Four of a Kind', 3, 1): {0: 100000}, ('Category Four of a Kind', 3, 2): {0: 100000}, ('Category Four of a Kind', 3, 3): {0: 100000}, ('Category Four of a Kind', 3, 4): {0: 100000}, ('Category Four of a Kind', 3, 5): {0: 100000}, ('Category Four of a Kind', 3, 6): {0: 100000}, ('Category Four of a Kind', 3, 7): {0: 100000}, ('Category Four of a Kind', 3, 8): {0: 100000}, ('Category Four of a Kind', 4, 0): {0: 100000}, ('Category Four of a Kind', 4, 1): {0: 99516, 30: 484}, ('Category Four of a Kind', 4, 2): {0: 96122, 30: 3878}, ('Category Four of a Kind', 4, 3): {0: 89867, 30: 10133}, ('Category Four of a Kind', 4, 4): {0: 81771, 30: 18229}, ('Category Four of a Kind', 4, 5): {0: 72893, 30: 27107}, ('Category Four of a Kind', 4, 6): {0: 64000, 30: 36000}, ('Category Four of a Kind', 4, 7): {0: 55921, 30: 44079}, ('Category Four of a Kind', 4, 8): {0: 48175, 30: 51825}, ('Category Four of a Kind', 5, 0): {0: 100000}, ('Category Four of a Kind', 5, 1): {0: 97938, 30: 2062}, ('Category Four of a Kind', 5, 2): {0: 86751, 30: 13249}, ('Category Four of a Kind', 5, 3): {0: 70886, 30: 29114}, ('Category Four of a Kind', 5, 4): {0: 54807, 30: 45193}, ('Category Four of a Kind', 5, 5): {0: 41729, 30: 58271}, ('Category Four of a Kind', 5, 6): {0: 30960, 30: 69040}, ('Category Four of a Kind', 5, 7): {0: 22207, 30: 77793}, ('Category Four of a Kind', 5, 8): {0: 16027, 30: 83973}, ('Category Four of a Kind', 6, 0): {0: 100000}, ('Category Four of a Kind', 6, 1): {0: 94810, 30: 5190}, ('Category Four of a Kind', 6, 2): {0: 73147, 30: 26853}, ('Category Four of a Kind', 6, 3): {0: 49873, 30: 50127}, ('Category Four of a Kind', 6, 4): {0: 31913, 30: 68087}, ('Category Four of a Kind', 6, 5): {0: 19877, 30: 80123}, ('Category Four of a Kind', 6, 6): {0: 11973, 30: 88027}, ('Category Four of a Kind', 6, 7): {0: 7324, 30: 92676}, ('Category Four of a Kind', 6, 8): {0: 4221, 30: 95779}, ('Category Four of a Kind', 7, 0): {0: 100000}, ('Category Four of a Kind', 7, 1): {0: 89422, 30: 10578}, ('Category Four of a Kind', 7, 2): {0: 57049, 30: 42951}, ('Category Four of a Kind', 7, 3): {0: 30903, 30: 69097}, ('Category Four of a Kind', 7, 4): {0: 15962, 30: 84038}, ('Category Four of a Kind', 7, 5): {0: 8148, 30: 91852}, ('Category Four of a Kind', 7, 6): {0: 3943, 30: 96057}, ('Category Four of a Kind', 7, 7): {0: 1933, 30: 98067}, ('Category Four of a Kind', 7, 8): {0: 912, 30: 99088}, ('Category Four of a Kind', 8, 0): {0: 100000}, ('Category Four of a Kind', 8, 1): {0: 81614, 30: 18386}, ('Category Four of a Kind', 8, 2): {0: 40524, 30: 59476}, ('Category Four of a Kind', 8, 3): {0: 17426, 30: 82574}, ('Category Four of a Kind', 8, 4): {0: 6958, 30: 93042}, ('Category Four of a Kind', 8, 5): {0: 2862, 30: 97138}, ('Category Four of a Kind', 8, 6): {0: 1049, 30: 98951}, ('Category Four of a Kind', 8, 7): {0: 401, 30: 99599}, ('Category Four of a Kind', 8, 8): {0: 156, 30: 99844}, ('Category Tiny Straight', 0, 0): {0: 100000}, ('Category Tiny Straight', 0, 1): {0: 100000}, ('Category Tiny Straight', 0, 2): {0: 100000}, ('Category Tiny Straight', 0, 3): {0: 100000}, ('Category Tiny Straight', 0, 4): {0: 100000}, ('Category Tiny Straight', 0, 5): {0: 100000}, ('Category Tiny Straight', 0, 6): {0: 100000}, ('Category Tiny Straight', 0, 7): {0: 100000}, ('Category Tiny Straight', 0, 8): {0: 100000}, ('Category Tiny Straight', 1, 0): {0: 100000}, ('Category Tiny Straight', 1, 1): {0: 100000}, ('Category Tiny Straight', 1, 2): {0: 100000}, ('Category Tiny Straight', 1, 3): {0: 100000}, ('Category Tiny Straight', 1, 4): {0: 100000}, ('Category Tiny Straight', 1, 5): {0: 100000}, ('Category Tiny Straight', 1, 6): {0: 100000}, ('Category Tiny Straight', 1, 7): {0: 100000}, ('Category Tiny Straight', 1, 8): {0: 100000}, ('Category Tiny Straight', 2, 0): {0: 100000}, ('Category Tiny Straight', 2, 1): {0: 100000}, ('Category Tiny Straight', 2, 2): {0: 100000}, ('Category Tiny Straight', 2, 3): {0: 100000}, ('Category Tiny Straight', 2, 4): {0: 100000}, ('Category Tiny Straight', 2, 5): {0: 100000}, ('Category Tiny Straight', 2, 6): {0: 100000}, ('Category Tiny Straight', 2, 7): {0: 100000}, ('Category Tiny Straight', 2, 8): {0: 100000}, ('Category Tiny Straight', 3, 0): {0: 100000}, ('Category Tiny Straight', 3, 1): {0: 91672, 20: 8328}, ('Category Tiny Straight', 3, 2): {0: 79082, 20: 20918}, ('Category Tiny Straight', 3, 3): {0: 66490, 20: 33510}, ('Category Tiny Straight', 3, 4): {0: 55797, 20: 44203}, ('Category Tiny Straight', 3, 5): {0: 46967, 20: 53033}, ('Category Tiny Straight', 3, 6): {0: 39595, 20: 60405}, ('Category Tiny Straight', 3, 7): {0: 33384, 20: 66616}, ('Category Tiny Straight', 3, 8): {0: 28747, 20: 71253}, ('Category Tiny Straight', 4, 0): {0: 100000}, ('Category Tiny Straight', 4, 1): {0: 78812, 20: 21188}, ('Category Tiny Straight', 4, 2): {0: 55525, 20: 44475}, ('Category Tiny Straight', 4, 3): {0: 38148, 20: 61852}, ('Category Tiny Straight', 4, 4): {0: 26432, 20: 73568}, ('Category Tiny Straight', 4, 5): {0: 18225, 20: 81775}, ('Category Tiny Straight', 4, 6): {0: 12758, 20: 87242}, ('Category Tiny Straight', 4, 7): {0: 8991, 20: 91009}, ('Category Tiny Straight', 4, 8): {0: 6325, 20: 93675}, ('Category Tiny Straight', 5, 0): {0: 100000}, ('Category Tiny Straight', 5, 1): {0: 64979, 20: 35021}, ('Category Tiny Straight', 5, 2): {0: 36509, 20: 63491}, ('Category Tiny Straight', 5, 3): {0: 20576, 20: 79424}, ('Category Tiny Straight', 5, 4): {0: 11585, 20: 88415}, ('Category Tiny Straight', 5, 5): {0: 6874, 20: 93126}, ('Category Tiny Straight', 5, 6): {0: 3798, 20: 96202}, ('Category Tiny Straight', 5, 7): {0: 2214, 20: 97786}, ('Category Tiny Straight', 5, 8): {0: 1272, 20: 98728}, ('Category Tiny Straight', 6, 0): {0: 100000}, ('Category Tiny Straight', 6, 1): {0: 52157, 20: 47843}, ('Category Tiny Straight', 6, 2): {0: 23641, 20: 76359}, ('Category Tiny Straight', 6, 3): {0: 10883, 20: 89117}, ('Category Tiny Straight', 6, 4): {0: 5127, 20: 94873}, ('Category Tiny Straight', 6, 5): {0: 2442, 20: 97558}, ('Category Tiny Straight', 6, 6): {0: 1158, 20: 98842}, ('Category Tiny Straight', 6, 7): {0: 542, 20: 99458}, ('Category Tiny Straight', 6, 8): {0: 252, 20: 99748}, ('Category Tiny Straight', 7, 0): {0: 100000}, ('Category Tiny Straight', 7, 1): {0: 41492, 20: 58508}, ('Category Tiny Straight', 7, 2): {0: 15072, 20: 84928}, ('Category Tiny Straight', 7, 3): {0: 5905, 20: 94095}, ('Category Tiny Straight', 7, 4): {0: 2246, 20: 97754}, ('Category Tiny Straight', 7, 5): {0: 942, 20: 99058}, ('Category Tiny Straight', 7, 6): {0: 337, 20: 99663}, ('Category Tiny Straight', 7, 7): {0: 155, 20: 99845}, ('Category Tiny Straight', 7, 8): {0: 61, 20: 99939}, ('Category Tiny Straight', 8, 0): {0: 100000}, ('Category Tiny Straight', 8, 1): {0: 32993, 20: 67007}, ('Category Tiny Straight', 8, 2): {0: 10074, 20: 89926}, ('Category Tiny Straight', 8, 3): {0: 3158, 20: 96842}, ('Category Tiny Straight', 8, 4): {0: 1060, 20: 98940}, ('Category Tiny Straight', 8, 5): {0: 356, 20: 99644}, ('Category Tiny Straight', 8, 6): {0: 117, 20: 99883}, ('Category Tiny Straight', 8, 7): {0: 32, 20: 99968}, ('Category Tiny Straight', 8, 8): {0: 10, 20: 99990}, ('Category Small Straight', 0, 0): {0: 100000}, ('Category Small Straight', 0, 1): {0: 100000}, ('Category Small Straight', 0, 2): {0: 100000}, ('Category Small Straight', 0, 3): {0: 100000}, ('Category Small Straight', 0, 4): {0: 100000}, ('Category Small Straight', 0, 5): {0: 100000}, ('Category Small Straight', 0, 6): {0: 100000}, ('Category Small Straight', 0, 7): {0: 100000}, ('Category Small Straight', 0, 8): {0: 100000}, ('Category Small Straight', 1, 0): {0: 100000}, ('Category Small Straight', 1, 1): {0: 100000}, ('Category Small Straight', 1, 2): {0: 100000}, ('Category Small Straight', 1, 3): {0: 100000}, ('Category Small Straight', 1, 4): {0: 100000}, ('Category Small Straight', 1, 5): {0: 100000}, ('Category Small Straight', 1, 6): {0: 100000}, ('Category Small Straight', 1, 7): {0: 100000}, ('Category Small Straight', 1, 8): {0: 100000}, ('Category Small Straight', 2, 0): {0: 100000}, ('Category Small Straight', 2, 1): {0: 100000}, ('Category Small Straight', 2, 2): {0: 100000}, ('Category Small Straight', 2, 3): {0: 100000}, ('Category Small Straight', 2, 4): {0: 100000}, ('Category Small Straight', 2, 5): {0: 100000}, ('Category Small Straight', 2, 6): {0: 100000}, ('Category Small Straight', 2, 7): {0: 100000}, ('Category Small Straight', 2, 8): {0: 100000}, ('Category Small Straight', 3, 0): {0: 100000}, ('Category Small Straight', 3, 1): {0: 100000}, ('Category Small Straight', 3, 2): {0: 100000}, ('Category Small Straight', 3, 3): {0: 100000}, ('Category Small Straight', 3, 4): {0: 100000}, ('Category Small Straight', 3, 5): {0: 100000}, ('Category Small Straight', 3, 6): {0: 100000}, ('Category Small Straight', 3, 7): {0: 100000}, ('Category Small Straight', 3, 8): {0: 100000}, ('Category Small Straight', 4, 0): {0: 100000}, ('Category Small Straight', 4, 1): {0: 94516, 30: 5484}, ('Category Small Straight', 4, 2): {0: 82700, 30: 17300}, ('Category Small Straight', 4, 3): {0: 67926, 30: 32074}, ('Category Small Straight', 4, 4): {0: 54265, 30: 45735}, ('Category Small Straight', 4, 5): {0: 42130, 30: 57870}, ('Category Small Straight', 4, 6): {0: 32536, 30: 67464}, ('Category Small Straight', 4, 7): {0: 25008, 30: 74992}, ('Category Small Straight', 4, 8): {0: 19595, 30: 80405}, ('Category Small Straight', 5, 0): {0: 100000}, ('Category Small Straight', 5, 1): {0: 84528, 30: 15472}, ('Category Small Straight', 5, 2): {0: 60775, 30: 39225}, ('Category Small Straight', 5, 3): {0: 39543, 30: 60457}, ('Category Small Straight', 5, 4): {0: 24760, 30: 75240}, ('Category Small Straight', 5, 5): {0: 15713, 30: 84287}, ('Category Small Straight', 5, 6): {0: 10199, 30: 89801}, ('Category Small Straight', 5, 7): {0: 6618, 30: 93382}, ('Category Small Straight', 5, 8): {0: 4205, 30: 95795}, ('Category Small Straight', 6, 0): {0: 100000}, ('Category Small Straight', 6, 1): {0: 73121, 30: 26879}, ('Category Small Straight', 6, 2): {0: 41832, 30: 58168}, ('Category Small Straight', 6, 3): {0: 21949, 30: 78051}, ('Category Small Straight', 6, 4): {0: 11304, 30: 88696}, ('Category Small Straight', 6, 5): {0: 6063, 30: 93937}, ('Category Small Straight', 6, 6): {0: 3362, 30: 96638}, ('Category Small Straight', 6, 7): {0: 1799, 30: 98201}, ('Category Small Straight', 6, 8): {0: 1069, 30: 98931}, ('Category Small Straight', 7, 0): {0: 100000}, ('Category Small Straight', 7, 1): {0: 61837, 30: 38163}, ('Category Small Straight', 7, 2): {0: 28202, 30: 71798}, ('Category Small Straight', 7, 3): {0: 12187, 30: 87813}, ('Category Small Straight', 7, 4): {0: 5427, 30: 94573}, ('Category Small Straight', 7, 5): {0: 2444, 30: 97556}, ('Category Small Straight', 7, 6): {0: 1144, 30: 98856}, ('Category Small Straight', 7, 7): {0: 588, 30: 99412}, ('Category Small Straight', 7, 8): {0: 258, 30: 99742}, ('Category Small Straight', 8, 0): {0: 100000}, ('Category Small Straight', 8, 1): {0: 51394, 30: 48606}, ('Category Small Straight', 8, 2): {0: 19090, 30: 80910}, ('Category Small Straight', 8, 3): {0: 7104, 30: 92896}, ('Category Small Straight', 8, 4): {0: 2645, 30: 97355}, ('Category Small Straight', 8, 5): {0: 1010, 30: 98990}, ('Category Small Straight', 8, 6): {0: 408, 30: 99592}, ('Category Small Straight', 8, 7): {0: 153, 30: 99847}, ('Category Small Straight', 8, 8): {0: 78, 30: 99922}, ('Category Large Straight', 0, 0): {0: 100000}, ('Category Large Straight', 0, 1): {0: 100000}, ('Category Large Straight', 0, 2): {0: 100000}, ('Category Large Straight', 0, 3): {0: 100000}, ('Category Large Straight', 0, 4): {0: 100000}, ('Category Large Straight', 0, 5): {0: 100000}, ('Category Large Straight', 0, 6): {0: 100000}, ('Category Large Straight', 0, 7): {0: 100000}, ('Category Large Straight', 0, 8): {0: 100000}, ('Category Large Straight', 1, 0): {0: 100000}, ('Category Large Straight', 1, 1): {0: 100000}, ('Category Large Straight', 1, 2): {0: 100000}, ('Category Large Straight', 1, 3): {0: 100000}, ('Category Large Straight', 1, 4): {0: 100000}, ('Category Large Straight', 1, 5): {0: 100000}, ('Category Large Straight', 1, 6): {0: 100000}, ('Category Large Straight', 1, 7): {0: 100000}, ('Category Large Straight', 1, 8): {0: 100000}, ('Category Large Straight', 2, 0): {0: 100000}, ('Category Large Straight', 2, 1): {0: 100000}, ('Category Large Straight', 2, 2): {0: 100000}, ('Category Large Straight', 2, 3): {0: 100000}, ('Category Large Straight', 2, 4): {0: 100000}, ('Category Large Straight', 2, 5): {0: 100000}, ('Category Large Straight', 2, 6): {0: 100000}, ('Category Large Straight', 2, 7): {0: 100000}, ('Category Large Straight', 2, 8): {0: 100000}, ('Category Large Straight', 3, 0): {0: 100000}, ('Category Large Straight', 3, 1): {0: 100000}, ('Category Large Straight', 3, 2): {0: 100000}, ('Category Large Straight', 3, 3): {0: 100000}, ('Category Large Straight', 3, 4): {0: 100000}, ('Category Large Straight', 3, 5): {0: 100000}, ('Category Large Straight', 3, 6): {0: 100000}, ('Category Large Straight', 3, 7): {0: 100000}, ('Category Large Straight', 3, 8): {0: 100000}, ('Category Large Straight', 4, 0): {0: 100000}, ('Category Large Straight', 4, 1): {0: 100000}, ('Category Large Straight', 4, 2): {0: 100000}, ('Category Large Straight', 4, 3): {0: 100000}, ('Category Large Straight', 4, 4): {0: 100000}, ('Category Large Straight', 4, 5): {0: 100000}, ('Category Large Straight', 4, 6): {0: 100000}, ('Category Large Straight', 4, 7): {0: 100000}, ('Category Large Straight', 4, 8): {0: 100000}, ('Category Large Straight', 5, 0): {0: 100000}, ('Category Large Straight', 5, 1): {0: 96929, 40: 3071}, ('Category Large Straight', 5, 2): {0: 87056, 40: 12944}, ('Category Large Straight', 5, 3): {0: 75101, 40: 24899}, ('Category Large Straight', 5, 4): {0: 63617, 40: 36383}, ('Category Large Straight', 5, 5): {0: 53149, 40: 46851}, ('Category Large Straight', 5, 6): {0: 44321, 40: 55679}, ('Category Large Straight', 5, 7): {0: 36948, 40: 63052}, ('Category Large Straight', 5, 8): {0: 30661, 40: 69339}, ('Category Large Straight', 6, 0): {0: 100000}, ('Category Large Straight', 6, 1): {0: 90756, 40: 9244}, ('Category Large Straight', 6, 2): {0: 69805, 40: 30195}, ('Category Large Straight', 6, 3): {0: 49814, 40: 50186}, ('Category Large Straight', 6, 4): {0: 35102, 40: 64898}, ('Category Large Straight', 6, 5): {0: 24385, 40: 75615}, ('Category Large Straight', 6, 6): {0: 17018, 40: 82982}, ('Category Large Straight', 6, 7): {0: 11739, 40: 88261}, ('Category Large Straight', 6, 8): {0: 7972, 40: 92028}, ('Category Large Straight', 7, 0): {0: 100000}, ('Category Large Straight', 7, 1): {0: 82840, 40: 17160}, ('Category Large Straight', 7, 2): {0: 52821, 40: 47179}, ('Category Large Straight', 7, 3): {0: 31348, 40: 68652}, ('Category Large Straight', 7, 4): {0: 18166, 40: 81834}, ('Category Large Straight', 7, 5): {0: 10690, 40: 89310}, ('Category Large Straight', 7, 6): {0: 6051, 40: 93949}, ('Category Large Straight', 7, 7): {0: 3617, 40: 96383}, ('Category Large Straight', 7, 8): {0: 1941, 40: 98059}, ('Category Large Straight', 8, 0): {0: 100000}, ('Category Large Straight', 8, 1): {0: 73520, 40: 26480}, ('Category Large Straight', 8, 2): {0: 39031, 40: 60969}, ('Category Large Straight', 8, 3): {0: 19156, 40: 80844}, ('Category Large Straight', 8, 4): {0: 9304, 40: 90696}, ('Category Large Straight', 8, 5): {0: 4420, 40: 95580}, ('Category Large Straight', 8, 6): {0: 2141, 40: 97859}, ('Category Large Straight', 8, 7): {0: 1037, 40: 98963}, ('Category Large Straight', 8, 8): {0: 511, 40: 99489}, ('Category Full House', 0, 0): {0: 100000}, ('Category Full House', 0, 1): {0: 100000}, ('Category Full House', 0, 2): {0: 100000}, ('Category Full House', 0, 3): {0: 100000}, ('Category Full House', 0, 4): {0: 100000}, ('Category Full House', 0, 5): {0: 100000}, ('Category Full House', 0, 6): {0: 100000}, ('Category Full House', 0, 7): {0: 100000}, ('Category Full House', 0, 8): {0: 100000}, ('Category Full House', 1, 0): {0: 100000}, ('Category Full House', 1, 1): {0: 100000}, ('Category Full House', 1, 2): {0: 100000}, ('Category Full House', 1, 3): {0: 100000}, ('Category Full House', 1, 4): {0: 100000}, ('Category Full House', 1, 5): {0: 100000}, ('Category Full House', 1, 6): {0: 100000}, ('Category Full House', 1, 7): {0: 100000}, ('Category Full House', 1, 8): {0: 100000}, ('Category Full House', 2, 0): {0: 100000}, ('Category Full House', 2, 1): {0: 100000}, ('Category Full House', 2, 2): {0: 100000}, ('Category Full House', 2, 3): {0: 100000}, ('Category Full House', 2, 4): {0: 100000}, ('Category Full House', 2, 5): {0: 100000}, ('Category Full House', 2, 6): {0: 100000}, ('Category Full House', 2, 7): {0: 100000}, ('Category Full House', 2, 8): {0: 100000}, ('Category Full House', 3, 0): {0: 100000}, ('Category Full House', 3, 1): {0: 100000}, ('Category Full House', 3, 2): {0: 100000}, ('Category Full House', 3, 3): {0: 100000}, ('Category Full House', 3, 4): {0: 100000}, ('Category Full House', 3, 5): {0: 100000}, ('Category Full House', 3, 6): {0: 100000}, ('Category Full House', 3, 7): {0: 100000}, ('Category Full House', 3, 8): {0: 100000}, ('Category Full House', 4, 0): {0: 100000}, ('Category Full House', 4, 1): {0: 100000}, ('Category Full House', 4, 2): {0: 100000}, ('Category Full House', 4, 3): {0: 100000}, ('Category Full House', 4, 4): {0: 100000}, ('Category Full House', 4, 5): {0: 100000}, ('Category Full House', 4, 6): {0: 100000}, ('Category Full House', 4, 7): {0: 100000}, ('Category Full House', 4, 8): {0: 100000}, ('Category Full House', 5, 0): {0: 100000}, ('Category Full House', 5, 1): {0: 96155, 25: 3845}, ('Category Full House', 5, 2): {0: 81391, 25: 18609}, ('Category Full House', 5, 3): {0: 64300, 25: 35700}, ('Category Full House', 5, 4): {0: 49669, 25: 50331}, ('Category Full House', 5, 5): {0: 38019, 25: 61981}, ('Category Full House', 5, 6): {0: 29751, 25: 70249}, ('Category Full House', 5, 7): {0: 22960, 25: 77040}, ('Category Full House', 5, 8): {0: 18650, 25: 81350}, ('Category Full House', 6, 0): {0: 100000}, ('Category Full House', 6, 1): {0: 82989, 25: 17011}, ('Category Full House', 6, 2): {0: 47153, 25: 52847}, ('Category Full House', 6, 3): {0: 24151, 25: 75849}, ('Category Full House', 6, 4): {0: 12519, 25: 87481}, ('Category Full House', 6, 5): {0: 6524, 25: 93476}, ('Category Full House', 6, 6): {0: 3606, 25: 96394}, ('Category Full House', 6, 7): {0: 1959, 25: 98041}, ('Category Full House', 6, 8): {0: 1026, 25: 98974}, ('Category Full House', 7, 0): {0: 100000}, ('Category Full House', 7, 1): {0: 60232, 25: 39768}, ('Category Full House', 7, 2): {0: 18894, 25: 81106}, ('Category Full House', 7, 3): {0: 5682, 25: 94318}, ('Category Full House', 7, 4): {0: 1706, 25: 98294}, ('Category Full House', 7, 5): {0: 522, 25: 99478}, ('Category Full House', 7, 6): {0: 146, 25: 99854}, ('Category Full House', 7, 7): {0: 54, 25: 99946}, ('Category Full House', 7, 8): {0: 18, 25: 99982}, ('Category Full House', 8, 0): {0: 100000}, ('Category Full House', 8, 1): {0: 35909, 25: 64091}, ('Category Full House', 8, 2): {0: 5712, 25: 94288}, ('Category Full House', 8, 3): {0: 930, 25: 99070}, ('Category Full House', 8, 4): {0: 165, 25: 99835}, ('Category Full House', 8, 5): {0: 19, 25: 99981}, ('Category Full House', 8, 6): {0: 6, 25: 99994}, ('Category Full House', 8, 7): {25: 100000}, ('Category Full House', 8, 8): {25: 100000}, ('Category Yacht', 0, 0): {0: 100000}, ('Category Yacht', 0, 1): {0: 100000}, ('Category Yacht', 0, 2): {0: 100000}, ('Category Yacht', 0, 3): {0: 100000}, ('Category Yacht', 0, 4): {0: 100000}, ('Category Yacht', 0, 5): {0: 100000}, ('Category Yacht', 0, 6): {0: 100000}, ('Category Yacht', 0, 7): {0: 100000}, ('Category Yacht', 0, 8): {0: 100000}, ('Category Yacht', 1, 0): {0: 100000}, ('Category Yacht', 1, 1): {0: 100000}, ('Category Yacht', 1, 2): {0: 100000}, ('Category Yacht', 1, 3): {0: 100000}, ('Category Yacht', 1, 4): {0: 100000}, ('Category Yacht', 1, 5): {0: 100000}, ('Category Yacht', 1, 6): {0: 100000}, ('Category Yacht', 1, 7): {0: 100000}, ('Category Yacht', 1, 8): {0: 100000}, ('Category Yacht', 2, 0): {0: 100000}, ('Category Yacht', 2, 1): {0: 100000}, ('Category Yacht', 2, 2): {0: 100000}, ('Category Yacht', 2, 3): {0: 100000}, ('Category Yacht', 2, 4): {0: 100000}, ('Category Yacht', 2, 5): {0: 100000}, ('Category Yacht', 2, 6): {0: 100000}, ('Category Yacht', 2, 7): {0: 100000}, ('Category Yacht', 2, 8): {0: 100000}, ('Category Yacht', 3, 0): {0: 100000}, ('Category Yacht', 3, 1): {0: 100000}, ('Category Yacht', 3, 2): {0: 100000}, ('Category Yacht', 3, 3): {0: 100000}, ('Category Yacht', 3, 4): {0: 100000}, ('Category Yacht', 3, 5): {0: 100000}, ('Category Yacht', 3, 6): {0: 100000}, ('Category Yacht', 3, 7): {0: 100000}, ('Category Yacht', 3, 8): {0: 100000}, ('Category Yacht', 4, 0): {0: 100000}, ('Category Yacht', 4, 1): {0: 100000}, ('Category Yacht', 4, 2): {0: 100000}, ('Category Yacht', 4, 3): {0: 100000}, ('Category Yacht', 4, 4): {0: 100000}, ('Category Yacht', 4, 5): {0: 100000}, ('Category Yacht', 4, 6): {0: 100000}, ('Category Yacht', 4, 7): {0: 100000}, ('Category Yacht', 4, 8): {0: 100000}, ('Category Yacht', 5, 0): {0: 100000}, ('Category Yacht', 5, 1): {0: 100000}, ('Category Yacht', 5, 2): {0: 98727, 50: 1273}, ('Category Yacht', 5, 3): {0: 95347, 50: 4653}, ('Category Yacht', 5, 4): {0: 89969, 50: 10031}, ('Category Yacht', 5, 5): {0: 83124, 50: 16876}, ('Category Yacht', 5, 6): {0: 75023, 50: 24977}, ('Category Yacht', 5, 7): {0: 67007, 50: 32993}, ('Category Yacht', 5, 8): {0: 58618, 50: 41382}, ('Category Yacht', 6, 0): {0: 100000}, ('Category Yacht', 6, 1): {0: 99571, 50: 429}, ('Category Yacht', 6, 2): {0: 94726, 50: 5274}, ('Category Yacht', 6, 3): {0: 84366, 50: 15634}, ('Category Yacht', 6, 4): {0: 70782, 50: 29218}, ('Category Yacht', 6, 5): {0: 56573, 50: 43427}, ('Category Yacht', 6, 6): {0: 44206, 50: 55794}, ('Category Yacht', 6, 7): {0: 33578, 50: 66422}, ('Category Yacht', 6, 8): {0: 25079, 50: 74921}, ('Category Yacht', 7, 0): {0: 100000}, ('Category Yacht', 7, 1): {0: 98833, 50: 1167}, ('Category Yacht', 7, 2): {0: 87511, 50: 12489}, ('Category Yacht', 7, 3): {0: 68252, 50: 31748}, ('Category Yacht', 7, 4): {0: 49065, 50: 50935}, ('Category Yacht', 7, 5): {0: 33364, 50: 66636}, ('Category Yacht', 7, 6): {0: 21483, 50: 78517}, ('Category Yacht', 7, 7): {0: 13597, 50: 86403}, ('Category Yacht', 7, 8): {0: 8483, 50: 91517}, ('Category Yacht', 8, 0): {0: 100000}, ('Category Yacht', 8, 1): {0: 97212, 50: 2788}, ('Category Yacht', 8, 2): {0: 76962, 50: 23038}, ('Category Yacht', 8, 3): {0: 50533, 50: 49467}, ('Category Yacht', 8, 4): {0: 29981, 50: 70019}, ('Category Yacht', 8, 5): {0: 16776, 50: 83224}, ('Category Yacht', 8, 6): {0: 9079, 50: 90921}, ('Category Yacht', 8, 7): {0: 4705, 50: 95295}, ('Category Yacht', 8, 8): {0: 2363, 50: 97637}, ('Category Distincts', 1, 1): {1: 100000}, ('Category Distincts', 1, 2): {1: 100000}, ('Category Distincts', 1, 3): {1: 100000}, ('Category Distincts', 1, 4): {1: 100000}, ('Category Distincts', 1, 5): {1: 100000}, ('Category Distincts', 1, 6): {1: 100000}, ('Category Distincts', 1, 7): {1: 100000}, ('Category Distincts', 1, 8): {1: 100000}, ('Category Distincts', 2, 1): {1: 16804, 2: 83196}, ('Category Distincts', 2, 2): {1: 2686, 2: 97314}, ('Category Distincts', 2, 3): {1: 463, 2: 99537}, ('Category Distincts', 2, 4): {1: 66, 2: 99934}, ('Category Distincts', 2, 5): {1: 11, 2: 99989}, ('Category Distincts', 2, 6): {1: 1, 2: 99999}, ('Category Distincts', 2, 7): {2: 100000}, ('Category Distincts', 2, 8): {2: 100000}, ('Category Distincts', 3, 1): {1: 2760, 2: 41714, 3: 55526}, ('Category Distincts', 3, 2): {1: 78, 2: 14936, 3: 84986}, ('Category Distincts', 3, 3): {1: 4866, 3: 95134}, ('Category Distincts', 3, 4): {2: 1659, 3: 98341}, ('Category Distincts', 3, 5): {2: 575, 3: 99425}, ('Category Distincts', 3, 6): {2: 200, 3: 99800}, ('Category Distincts', 3, 7): {2: 69, 3: 99931}, ('Category Distincts', 3, 8): {2: 22, 3: 99978}, ('Category Distincts', 4, 1): {1: 494, 2: 16140, 3: 55471, 4: 27895}, ('Category Distincts', 4, 2): {1: 1893, 3: 36922, 4: 61185}, ('Category Distincts', 4, 3): {2: 230, 3: 19631, 4: 80139}, ('Category Distincts', 4, 4): {2: 21, 3: 9858, 4: 90121}, ('Category Distincts', 4, 5): {2: 4906, 4: 95094}, ('Category Distincts', 4, 6): {3: 2494, 4: 97506}, ('Category Distincts', 4, 7): {3: 1297, 4: 98703}, ('Category Distincts', 4, 8): {3: 611, 4: 99389}, ('Category Distincts', 5, 1): {1: 5798, 3: 38538, 4: 46379, 5: 9285}, ('Category Distincts', 5, 2): {2: 196, 3: 11647, 4: 56472, 5: 31685}, ('Category Distincts', 5, 3): {2: 3022, 4: 44724, 5: 52254}, ('Category Distincts', 5, 4): {3: 722, 4: 31632, 5: 67646}, ('Category Distincts', 5, 5): {3: 215, 4: 21391, 5: 78394}, ('Category Distincts', 5, 6): {3: 55, 4: 14470, 5: 85475}, ('Category Distincts', 5, 7): {3: 15, 4: 9645, 5: 90340}, ('Category Distincts', 5, 8): {3: 6463, 5: 93537}, ('Category Distincts', 6, 1): {1: 2027, 3: 22985, 4: 50464, 5: 24524}, ('Category Distincts', 6, 2): {2: 3299, 4: 35174, 5: 52573, 6: 8954}, ('Category Distincts', 6, 3): {3: 417, 4: 17376, 5: 62578, 6: 19629}, ('Category Distincts', 6, 4): {3: 7831, 5: 61029, 6: 31140}, ('Category Distincts', 6, 5): {3: 3699, 5: 54997, 6: 41304}, ('Category Distincts', 6, 6): {4: 1557, 5: 47225, 6: 51218}, ('Category Distincts', 6, 7): {4: 728, 5: 40465, 6: 58807}, ('Category Distincts', 6, 8): {4: 321, 5: 33851, 6: 65828}, ('Category Distincts', 7, 1): {1: 665, 3: 13006, 4: 44964, 5: 41365}, ('Category Distincts', 7, 2): {2: 839, 4: 18847, 5: 56731, 6: 23583}, ('Category Distincts', 7, 3): {3: 6051, 5: 50312, 6: 43637}, ('Category Distincts', 7, 4): {3: 1796, 5: 38393, 6: 59811}, ('Category Distincts', 7, 5): {4: 529, 5: 27728, 6: 71743}, ('Category Distincts', 7, 6): {4: 164, 5: 19417, 6: 80419}, ('Category Distincts', 7, 7): {4: 53, 5: 13565, 6: 86382}, ('Category Distincts', 7, 8): {4: 14, 5: 9531, 6: 90455}, ('Category Distincts', 8, 1): {1: 7137, 4: 36582, 5: 44977, 6: 11304}, ('Category Distincts', 8, 2): {2: 233, 4: 9181, 5: 50783, 6: 39803}, ('Category Distincts', 8, 3): {3: 1976, 5: 34748, 6: 63276}, ('Category Distincts', 8, 4): {4: 389, 5: 21008, 6: 78603}, ('Category Distincts', 8, 5): {4: 78, 5: 12514, 6: 87408}, ('Category Distincts', 8, 6): {4: 7177, 6: 92823}, ('Category Distincts', 8, 7): {4: 4179, 6: 95821}, ('Category Distincts', 8, 8): {5: 2440, 6: 97560}, ('Category Two times Ones', 0, 0): {0: 100000}, ('Category Two times Ones', 0, 1): {0: 100000}, ('Category Two times Ones', 0, 2): {0: 100000}, ('Category Two times Ones', 0, 3): {0: 100000}, ('Category Two times Ones', 0, 4): {0: 100000}, ('Category Two times Ones', 0, 5): {0: 100000}, ('Category Two times Ones', 0, 6): {0: 100000}, ('Category Two times Ones', 0, 7): {0: 100000}, ('Category Two times Ones', 0, 8): {0: 100000}, ('Category Two times Ones', 1, 0): {0: 100000}, ('Category Two times Ones', 1, 1): {0: 83475, 2: 16525}, ('Category Two times Ones', 1, 2): {0: 69690, 2: 30310}, ('Category Two times Ones', 1, 3): {0: 57818, 2: 42182}, ('Category Two times Ones', 1, 4): {0: 48418, 2: 51582}, ('Category Two times Ones', 1, 5): {0: 40301, 2: 59699}, ('Category Two times Ones', 1, 6): {0: 33558, 2: 66442}, ('Category Two times Ones', 1, 7): {0: 28182, 2: 71818}, ('Category Two times Ones', 1, 8): {0: 23406, 2: 76594}, ('Category Two times Ones', 2, 0): {0: 100000}, ('Category Two times Ones', 2, 1): {0: 69724, 2: 30276}, ('Category Two times Ones', 2, 2): {0: 48238, 2: 42479, 4: 9283}, ('Category Two times Ones', 2, 3): {0: 33290, 2: 48819, 4: 17891}, ('Category Two times Ones', 2, 4): {0: 23136, 2: 49957, 4: 26907}, ('Category Two times Ones', 2, 5): {0: 16146, 2: 48200, 4: 35654}, ('Category Two times Ones', 2, 6): {0: 11083, 2: 44497, 4: 44420}, ('Category Two times Ones', 2, 7): {0: 7662, 2: 40343, 4: 51995}, ('Category Two times Ones', 2, 8): {0: 5354, 2: 35526, 4: 59120}, ('Category Two times Ones', 3, 0): {0: 100000}, ('Category Two times Ones', 3, 1): {0: 58021, 2: 34522, 4: 7457}, ('Category Two times Ones', 3, 2): {0: 33548, 2: 44261, 4: 22191}, ('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}, ('Category Two times Ones', 3, 6): {0: 3619, 2: 22498, 4: 44233, 6: 29650}, ('Category Two times Ones', 3, 7): {0: 2195, 2: 16979, 4: 43684, 6: 37142}, ('Category Two times Ones', 3, 8): {0: 1255, 2: 12420, 4: 40920, 6: 45405}, ('Category Two times Ones', 4, 0): {0: 100000}, ('Category Two times Ones', 4, 1): {0: 48235, 2: 38602, 4: 13163}, ('Category Two times Ones', 4, 2): {0: 23289, 2: 40678, 4: 27102, 6: 8931}, ('Category Two times Ones', 4, 3): {0: 11177, 2: 32677, 4: 35702, 6: 20444}, ('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, 2: 9910, 4: 29706, 6: 39523, 8: 19602}, ('Category Two times Ones', 4, 7): {0: 622, 2: 6323, 4: 24103, 6: 41894, 8: 27058}, ('Category Two times Ones', 4, 8): {0: 4091, 4: 18855, 6: 42309, 8: 34745}, ('Category Two times Ones', 5, 0): {0: 100000}, ('Category Two times Ones', 5, 1): {0: 40028, 2: 40241, 4: 19731}, ('Category Two times Ones', 5, 2): {0: 16009, 2: 35901, 4: 31024, 6: 17066}, ('Category Two times Ones', 5, 3): {0: 6489, 2: 23477, 4: 34349, 6: 25270, 8: 10415}, ('Category Two times Ones', 5, 4): {0: 2658, 2: 14032, 4: 30199, 6: 32214, 8: 20897}, ('Category Two times Ones', 5, 5): {0: 1032, 2: 7984, 4: 23643, 6: 33993, 8: 25853, 10: 7495}, ('Category Two times Ones', 5, 6): {0: 450, 2: 4152, 4: 16541, 6: 32774, 8: 32900, 10: 13183}, ('Category Two times Ones', 5, 7): {0: 2396, 4: 11231, 6: 29481, 8: 37636, 10: 19256}, ('Category Two times Ones', 5, 8): {0: 1171, 4: 7571, 6: 23993, 8: 40798, 10: 26467}, ('Category Two times Ones', 6, 0): {0: 100000}, ('Category Two times Ones', 6, 1): {0: 33502, 2: 40413, 4: 19717, 6: 6368}, ('Category Two times Ones', 6, 2): {0: 11210, 2: 29638, 4: 32701, 6: 18988, 8: 7463}, ('Category Two times Ones', 6, 3): {0: 3673, 2: 16459, 4: 29795, 6: 29102, 8: 15825, 10: 5146}, ('Category Two times Ones', 6, 4): {0: 1243, 2: 8048, 4: 21977, 6: 31053, 8: 25066, 10: 12613}, ('Category Two times Ones', 6, 5): {0: 4194, 4: 13949, 6: 28142, 8: 30723, 10: 18355, 12: 4637}, ('Category Two times Ones', 6, 6): {0: 1800, 4: 8455, 6: 22222, 8: 32692, 10: 26213, 12: 8618}, ('Category Two times Ones', 6, 7): {0: 775, 4: 4871, 6: 16142, 8: 31410, 10: 32532, 12: 14270}, ('Category Two times Ones', 6, 8): {0: 2855, 6: 11432, 8: 27864, 10: 37237, 12: 20612}, ('Category Two times Ones', 7, 0): {0: 100000}, ('Category Two times Ones', 7, 1): {0: 27683, 2: 39060, 4: 23574, 6: 9683}, ('Category Two times Ones', 7, 2): {0: 7824, 2: 24031, 4: 31764, 6: 23095, 8: 13286}, ('Category Two times Ones', 7, 3): {0: 2148, 2: 11019, 4: 24197, 6: 29599, 8: 21250, 10: 11787}, ('Category Two times Ones', 7, 4): {0: 564, 2: 4465, 4: 14571, 6: 26395, 8: 28409, 10: 18080, 12: 7516}, ('Category Two times Ones', 7, 5): {0: 1913, 4: 7911, 6: 19287, 8: 29039, 10: 26129, 12: 15721}, ('Category Two times Ones', 7, 6): {0: 54, 2: 4609, 6: 12897, 8: 25752, 10: 30413, 12: 20324, 14: 5951}, ('Category Two times Ones', 7, 7): {0: 2179, 6: 8007, 8: 20334, 10: 32054, 12: 27347, 14: 10079}, ('Category Two times Ones', 7, 8): {0: 942, 6: 4602, 8: 15233, 10: 30248, 12: 33276, 14: 15699}, ('Category Two times Ones', 8, 0): {0: 100000}, ('Category Two times Ones', 8, 1): {0: 23378, 2: 37157, 4: 26082, 6: 13383}, ('Category Two times Ones', 8, 2): {0: 5420, 2: 19164, 4: 29216, 6: 25677, 8: 14198, 10: 6325}, ('Category Two times Ones', 8, 3): {0: 1271, 2: 7289, 4: 18793, 6: 27054, 8: 24712, 10: 14462, 12: 6419}, ('Category Two times Ones', 8, 4): {0: 2889, 4: 9310, 6: 20242, 8: 27389, 10: 23232, 12: 12609, 14: 4329}, ('Category Two times Ones', 8, 5): {0: 879, 4: 4184, 6: 12669, 8: 23322, 10: 27882, 12: 20768, 14: 10296}, ('Category Two times Ones', 8, 6): {0: 2041, 6: 6992, 8: 17148, 10: 27398, 12: 27048, 14: 19373}, ('Category Two times Ones', 8, 7): {0: 74, 4: 4214, 8: 11479, 10: 23675, 12: 30829, 14: 22454, 16: 7275}, ('Category Two times Ones', 8, 8): {2: 2053, 8: 6980, 10: 18697, 12: 31310, 14: 28983, 16: 11977}, ('Category Half of Sixes', 0, 0): {0: 100000}, ('Category Half of Sixes', 0, 1): {0: 100000}, ('Category Half of Sixes', 0, 2): {0: 100000}, ('Category Half of Sixes', 0, 3): {0: 100000}, ('Category Half of Sixes', 0, 4): {0: 100000}, ('Category Half of Sixes', 0, 5): {0: 100000}, ('Category Half of Sixes', 0, 6): {0: 100000}, ('Category Half of Sixes', 0, 7): {0: 100000}, ('Category Half of Sixes', 0, 8): {0: 100000}, ('Category Half of Sixes', 1, 0): {0: 100000}, ('Category Half of Sixes', 1, 1): {0: 83343, 3: 16657}, ('Category Half of Sixes', 1, 2): {0: 69569, 3: 30431}, ('Category Half of Sixes', 1, 3): {0: 57872, 3: 42128}, ('Category Half of Sixes', 1, 4): {0: 48081, 3: 51919}, ('Category Half of Sixes', 1, 5): {0: 40271, 3: 59729}, ('Category Half of Sixes', 1, 6): {0: 33201, 3: 66799}, ('Category Half of Sixes', 1, 7): {0: 27903, 3: 72097}, ('Category Half of Sixes', 1, 8): {0: 23240, 3: 76760}, ('Category Half of Sixes', 2, 0): {0: 100000}, ('Category Half of Sixes', 2, 1): {0: 69419, 3: 27798, 6: 2783}, ('Category Half of Sixes', 2, 2): {0: 48202, 3: 42590, 6: 9208}, ('Category Half of Sixes', 2, 3): {0: 33376, 3: 48849, 6: 17775}, ('Category Half of Sixes', 2, 4): {0: 23276, 3: 49810, 6: 26914}, ('Category Half of Sixes', 2, 5): {0: 16092, 3: 47718, 6: 36190}, ('Category Half of Sixes', 2, 6): {0: 11232, 3: 44515, 6: 44253}, ('Category Half of Sixes', 2, 7): {0: 7589, 3: 40459, 6: 51952}, ('Category Half of Sixes', 2, 8): {0: 5447, 3: 35804, 6: 58749}, ('Category Half of Sixes', 3, 0): {0: 100000}, ('Category Half of Sixes', 3, 1): {0: 57964, 3: 34701, 6: 7335}, ('Category Half of Sixes', 3, 2): {0: 33637, 3: 44263, 6: 19213, 9: 2887}, ('Category Half of Sixes', 3, 3): {0: 19520, 3: 42382, 6: 30676, 9: 7422}, ('Category Half of Sixes', 3, 4): {0: 11265, 3: 35772, 6: 39042, 9: 13921}, ('Category Half of Sixes', 3, 5): {0: 6419, 3: 28916, 6: 43261, 9: 21404}, ('Category Half of Sixes', 3, 6): {0: 3810, 3: 22496, 6: 44388, 9: 29306}, ('Category Half of Sixes', 3, 7): {0: 2174, 3: 16875, 6: 43720, 9: 37231}, ('Category Half of Sixes', 3, 8): {0: 1237, 3: 12471, 6: 41222, 9: 45070}, ('Category Half of Sixes', 4, 0): {0: 100000}, ('Category Half of Sixes', 4, 1): {0: 48121, 3: 38786, 6: 13093}, ('Category Half of Sixes', 4, 2): {0: 23296, 3: 40989, 6: 26998, 9: 8717}, ('Category Half of Sixes', 4, 3): {0: 11233, 3: 32653, 6: 35710, 9: 17221, 12: 3183}, ('Category Half of Sixes', 4, 4): {0: 5463, 3: 23270, 6: 37468, 9: 26734, 12: 7065}, ('Category Half of Sixes', 4, 5): {0: 2691, 3: 15496, 6: 34539, 9: 34635, 12: 12639}, ('Category Half of Sixes', 4, 6): {0: 1221, 3: 10046, 6: 29811, 9: 39190, 12: 19732}, ('Category Half of Sixes', 4, 7): {0: 599, 3: 6322, 6: 24420, 9: 41614, 12: 27045}, ('Category Half of Sixes', 4, 8): {0: 309, 3: 3876, 6: 18843, 9: 42236, 12: 34736}, ('Category Half of Sixes', 5, 0): {0: 100000}, ('Category Half of Sixes', 5, 1): {0: 40183, 3: 40377, 6: 16039, 9: 3401}, ('Category Half of Sixes', 5, 2): {0: 16197, 3: 35494, 6: 30937, 9: 13946, 12: 3426}, ('Category Half of Sixes', 5, 3): {0: 6583, 3: 23394, 6: 34432, 9: 25239, 12: 10352}, ('Category Half of Sixes', 5, 4): {0: 2636, 3: 14072, 6: 30134, 9: 32371, 12: 17169, 15: 3618}, ('Category Half of Sixes', 5, 5): {0: 1075, 3: 7804, 6: 23010, 9: 34811, 12: 25702, 15: 7598}, ('Category Half of Sixes', 5, 6): {0: 418, 3: 4234, 6: 16654, 9: 32809, 12: 32892, 15: 12993}, ('Category Half of Sixes', 5, 7): {0: 2365, 6: 11416, 9: 29072, 12: 37604, 15: 19543}, ('Category Half of Sixes', 5, 8): {0: 1246, 6: 7425, 9: 24603, 12: 40262, 15: 26464}, ('Category Half of Sixes', 6, 0): {0: 100000}, ('Category Half of Sixes', 6, 1): {0: 33473, 3: 40175, 6: 20151, 9: 6201}, ('Category Half of Sixes', 6, 2): {0: 11147, 3: 29592, 6: 32630, 9: 19287, 12: 7344}, ('Category Half of Sixes', 6, 3): {0: 3628, 3: 16528, 6: 29814, 9: 29006, 12: 15888, 15: 5136}, ('Category Half of Sixes', 6, 4): {0: 1262, 3: 8236, 6: 21987, 9: 30953, 12: 24833, 15: 12729}, ('Category Half of Sixes', 6, 5): {0: 416, 3: 3820, 6: 13949, 9: 27798, 12: 31197, 15: 18256, 18: 4564}, ('Category Half of Sixes', 6, 6): {0: 1796, 6: 8372, 9: 22175, 12: 32897, 15: 26264, 18: 8496}, ('Category Half of Sixes', 6, 7): {0: 791, 6: 4728, 9: 16346, 12: 31385, 15: 32666, 18: 14084}, ('Category Half of Sixes', 6, 8): {0: 20, 3: 2948, 9: 11202, 12: 28320, 15: 36982, 18: 20528}, ('Category Half of Sixes', 7, 0): {0: 100000}, ('Category Half of Sixes', 7, 1): {0: 27933, 3: 39105, 6: 23338, 9: 9624}, ('Category Half of Sixes', 7, 2): {0: 7794, 3: 23896, 6: 31832, 9: 23110, 12: 10218, 15: 3150}, ('Category Half of Sixes', 7, 3): {0: 2138, 3: 11098, 6: 24140, 9: 29316, 12: 21386, 15: 11922}, ('Category Half of Sixes', 7, 4): {0: 590, 3: 4648, 6: 14737, 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, 6: 3938, 9: 13025, 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, 9: 4747, 12: 15117, 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: 10377, 12: 3086}, ('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, 6: 4240, 9: 12608, 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: 15571, 24: 3812}, ('Category Half of Sixes', 8, 7): {0: 800, 9: 3547, 12: 11580, 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, 2: 16929, 3: 16605}, ('Category Twos and Threes', 1, 2): {0: 55640, 2: 13812, 3: 30548}, ('Category Twos and Threes', 1, 3): {0: 46223, 2: 11599, 3: 42178}, ('Category Twos and Threes', 1, 4): {0: 38552, 2: 9618, 3: 51830}, ('Category Twos and Threes', 1, 5): {0: 32320, 2: 7974, 3: 59706}, ('Category Twos and Threes', 1, 6): {0: 26733, 2: 6684, 3: 66583}, ('Category Twos and Threes', 1, 7): {0: 22289, 2: 5563, 3: 72148}, ('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, 2: 15480, 3: 35949, 5: 8278, 6: 9438}, ('Category Twos and Threes', 2, 3): {0: 21509, 2: 10838, 3: 40340, 5: 9727, 6: 17586}, ('Category Twos and Threes', 2, 4): {0: 14935, 2: 7489, 3: 41092, 5: 9825, 6: 26659}, ('Category Twos and Threes', 2, 5): {0: 10492, 2: 5169, 3: 39087, 5: 9671, 6: 35581}, ('Category Twos and Threes', 2, 6): {0: 10775, 3: 35936, 5: 8994, 6: 44295}, ('Category Twos and Threes', 2, 7): {0: 7375, 3: 32469, 5: 8139, 6: 52017}, ('Category Twos and Threes', 2, 8): {0: 5212, 3: 35730, 6: 59058}, ('Category Twos and Threes', 3, 1): {0: 29892, 2: 22136, 3: 27781, 5: 11005, 6: 9186}, ('Category Twos and Threes', 3, 2): {0: 17285, 2: 12757, 3: 31500, 5: 14092, 6: 15822, 7: 8544}, ('Category Twos and Threes', 3, 3): {0: 9889, 2: 7547, 3: 28958, 5: 13522, 6: 26590, 8: 13494}, ('Category Twos and Threes', 3, 4): {0: 5717, 3: 28317, 5: 11617, 6: 31427, 7: 9157, 9: 13765}, ('Category Twos and Threes', 3, 5): {0: 5795, 3: 19123, 5: 9296, 6: 35708, 8: 8683, 9: 21395}, ('Category Twos and Threes', 3, 6): {0: 3273, 3: 21888, 6: 36387, 8: 8820, 9: 29632}, ('Category Twos and Threes', 3, 7): {0: 1917, 3: 16239, 6: 35604, 8: 8739, 9: 37501}, ('Category Twos and Threes', 3, 8): {0: 1124, 3: 12222, 6: 33537, 8: 8018, 9: 45099}, ('Category Twos and Threes', 4, 1): {0: 19619, 2: 19764, 3: 27117, 5: 14893, 6: 8721, 7: 9886}, ('Category Twos and Threes', 4, 2): {0: 9395, 2: 9519, 3: 24407, 5: 15873, 6: 21959, 8: 8667, 9: 10180}, ('Category Twos and Threes', 4, 3): {0: 4538, 3: 22968, 5: 12541, 6: 26350, 8: 11445, 9: 14017, 10: 8141}, ('Category Twos and Threes', 4, 4): {0: 4402, 3: 12654, 5: 9096, 6: 26469, 8: 11841, 9: 22943, 11: 12595}, ('Category Twos and Threes', 4, 5): {0: 2065, 3: 14351, 6: 23592, 8: 11169, 9: 27693, 10: 8354, 12: 12776}, ('Category Twos and Threes', 4, 6): {0: 1044, 3: 9056, 6: 20013, 8: 9649, 9: 31606, 10: 9137, 12: 19495}, ('Category Twos and Threes', 4, 7): {0: 224, 2: 6086, 6: 15556, 7: 8465, 9: 34297, 11: 8601, 12: 26771}, ('Category Twos and Threes', 4, 8): {0: 3694, 6: 18611, 9: 34441, 11: 8379, 12: 34875}, ('Category Twos and Threes', 5, 1): {0: 13070, 2: 16414, 3: 16607, 4: 8172, 5: 16396, 6: 16417, 8: 12924}, ('Category Twos and Threes', 5, 2): {0: 5213, 2: 6515, 3: 17760, 5: 14763, 6: 22403, 8: 12090, 9: 12656, 11: 8600}, ('Category Twos and Threes', 5, 3): {0: 4707, 3: 10959, 5: 9700, 6: 21688, 8: 13214, 9: 20051, 11: 8066, 12: 11615}, ('Category Twos and Threes', 5, 4): {0: 1934, 3: 12081, 6: 17567, 8: 11579, 9: 23703, 11: 10468, 12: 14158, 13: 8510}, ('Category Twos and Threes', 5, 5): {0: 380, 2: 7025, 6: 13268, 8: 8829, 9: 24445, 11: 11126, 12: 22129, 14: 12798}, ('Category Twos and Threes', 5, 6): {0: 3745, 6: 15675, 9: 22902, 11: 10593, 12: 34072, 15: 13013}, ('Category Twos and Threes', 5, 7): {0: 1969, 6: 10700, 9: 19759, 11: 9332, 12: 30190, 13: 8654, 15: 19396}, ('Category Twos and Threes', 5, 8): {0: 13, 2: 7713, 9: 15520, 10: 8437, 12: 32501, 13: 8936, 15: 26880}, ('Category Twos and Threes', 6, 1): {0: 8955, 2: 13135, 3: 13212, 4: 8191, 5: 16659, 6: 10713, 7: 8276, 8: 8621, 9: 12238}, ('Category Twos and Threes', 6, 2): {0: 2944, 3: 16894, 5: 11978, 6: 20178, 8: 13344, 9: 11416, 10: 12708, 12: 10538}, ('Category Twos and Threes', 6, 3): {0: 2484, 3: 13120, 6: 15999, 8: 12211, 9: 20060, 11: 11208, 12: 13690, 14: 11228}, ('Category Twos and Threes', 6, 4): {0: 320, 2: 6913, 6: 10814, 8: 9036, 9: 19586, 11: 12021, 12: 19316, 14: 8216, 15: 13778}, ('Category Twos and Threes', 6, 5): {0: 3135, 6: 12202, 9: 16495, 11: 10563, 12: 23042, 14: 10049, 15: 16281, 17: 8233}, ('Category Twos and Threes', 6, 6): {0: 98, 3: 8409, 9: 12670, 11: 8492, 12: 23467, 14: 10649, 15: 27647, 18: 8568}, ('Category Twos and Threes', 6, 7): {0: 14, 2: 4631, 9: 15210, 12: 21906, 14: 10107, 15: 34014, 18: 14118}, ('Category Twos and Threes', 6, 8): {0: 2367, 9: 10679, 12: 18916, 14: 8991, 15: 29815, 16: 8799, 18: 20433}, ('Category Twos and Threes', 7, 1): {0: 5802, 2: 10380, 3: 17789, 5: 15384, 6: 11027, 7: 9559, 8: 10304, 9: 11306, 11: 8449}, ('Category Twos and Threes', 7, 2): {0: 4415, 3: 8457, 5: 9442, 6: 17093, 8: 13172, 9: 18066, 11: 9919, 12: 10454, 14: 8982}, ('Category Twos and Threes', 7, 3): {0: 471, 2: 8571, 6: 10929, 8: 10013, 9: 18045, 11: 12133, 12: 16767, 14: 14953, 16: 8118}, ('Category Twos and Threes', 7, 4): {0: 3487, 6: 12139, 9: 14001, 11: 11007, 12: 19307, 14: 10700, 15: 12396, 16: 8577, 18: 8386}, ('Category Twos and Threes', 7, 5): {0: 40, 2: 7460, 9: 9808, 11: 8026, 12: 18172, 14: 11317, 15: 20071, 17: 8259, 18: 16847}, ('Category Twos and Threes', 7, 6): {0: 3554, 9: 11611, 12: 15116, 14: 10114, 15: 22387, 17: 9948, 18: 17576, 20: 9694}, ('Category Twos and Threes', 7, 7): {0: 157, 6: 8396, 12: 10638, 13: 9242, 15: 22333, 17: 10123, 18: 28998, 21: 10113}, ('Category Twos and Threes', 7, 8): {0: 31, 5: 4682, 12: 14446, 15: 20934, 17: 9621, 18: 34506, 21: 15780}, ('Category Twos and Threes', 8, 1): {0: 3799, 2: 7917, 3: 14634, 5: 13610, 6: 10144, 7: 10309, 8: 18981, 10: 11990, 12: 8616}, ('Category Twos and Threes', 8, 2): {0: 902, 2: 5913, 4: 8447, 6: 13750, 8: 11961, 9: 17932, 11: 11041, 12: 8197, 13: 11532, 15: 10325}, ('Category Twos and Threes', 8, 3): {0: 2221, 4: 8122, 7: 9320, 9: 14414, 11: 11338, 12: 17189, 14: 10523, 15: 8898, 16: 9521, 18: 8454}, ('Category Twos and Threes', 8, 4): {0: 140, 3: 8344, 9: 9271, 11: 8286, 12: 16078, 14: 11359, 15: 17352, 17: 9133, 18: 10960, 20: 9077}, ('Category Twos and Threes', 8, 5): {0: 3601, 9: 10269, 12: 12458, 14: 9578, 15: 18439, 17: 10743, 18: 14072, 19: 9349, 21: 11491}, ('Category Twos and Threes', 8, 6): {0: 3, 2: 4101, 11: 10100, 13: 8442, 15: 16817, 17: 10618, 18: 20331, 20: 8749, 21: 12731, 22: 8108}, ('Category Twos and Threes', 8, 7): {0: 3336, 12: 10227, 15: 14149, 17: 8935, 18: 22220, 20: 9757, 21: 19568, 23: 11808}, ('Category Twos and Threes', 8, 8): {3: 7, 5: 7726, 15: 9640, 16: 8357, 18: 21517, 20: 10020, 21: 30621, 24: 12112}, ('Category Sum of Odds', 1, 1): {0: 50084, 1: 16488, 3: 16584, 5: 16844}, ('Category Sum of Odds', 1, 2): {0: 33472, 1: 11017, 3: 27886, 5: 27625}, ('Category Sum of Odds', 1, 3): {0: 27892, 1: 9293, 3: 23006, 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, 3: 9361, 5: 75949}, ('Category Sum of Odds', 2, 1): {0: 24611, 1: 19615, 3: 22234, 5: 16856, 6: 8312, 8: 8372}, ('Category Sum of Odds', 2, 2): {0: 11216, 1: 8605, 3: 24576, 5: 18558, 6: 13858, 8: 15414, 10: 7773}, ('Category Sum of Odds', 2, 3): {0: 13730, 3: 17055, 5: 22224, 6: 12709, 8: 18363, 10: 15919}, ('Category Sum of Odds', 2, 4): {0: 9599, 3: 11842, 5: 23132, 6: 11358, 8: 19129, 10: 24940}, ('Category Sum of Odds', 2, 5): {0: 6652, 3: 8296, 5: 22529, 6: 10020, 8: 18712, 10: 33791}, ('Category Sum of Odds', 2, 6): {0: 10404, 5: 20970, 6: 8852, 8: 17272, 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, 3: 12861, 4: 8109, 5: 13902, 6: 15350, 8: 11660, 10: 8915}, ('Category Sum of Odds', 3, 2): {0: 8635, 3: 15579, 5: 10240, 6: 17409, 8: 15592, 9: 14993, 11: 9070, 13: 8482}, ('Category Sum of Odds', 3, 3): {0: 5022, 3: 9030, 5: 9729, 6: 13308, 8: 21631, 10: 13273, 11: 10759, 13: 11044, 15: 6204}, ('Category Sum of Odds', 3, 4): {0: 8260, 5: 8380, 6: 9575, 8: 18530, 10: 17343, 11: 11288, 13: 14216, 15: 12408}, ('Category Sum of Odds', 3, 5): {0: 4685, 5: 13863, 8: 14915, 10: 19378, 11: 10985, 13: 16370, 15: 19804}, ('Category Sum of Odds', 3, 6): {0: 2766, 5: 10213, 8: 11372, 10: 20496, 11: 10472, 13: 17133, 15: 27548}, ('Category Sum of Odds', 3, 7): {0: 543, 3: 8448, 8: 8659, 10: 20125, 11: 9495, 13: 16763, 15: 35967}, ('Category Sum of Odds', 3, 8): {0: 3760, 6: 8911, 10: 19242, 11: 8430, 13: 16221, 15: 43436}, ('Category Sum of Odds', 4, 1): {0: 6192, 1: 12678, 3: 9225, 4: 8433, 5: 11215, 6: 18550, 8: 9117, 9: 11764, 11: 12826}, ('Category Sum of Odds', 4, 2): {0: 7974, 4: 9562, 6: 14395, 8: 11060, 9: 16922, 11: 15953, 13: 13643, 15: 10491}, ('Category Sum of Odds', 4, 3): {0: 1778, 3: 8154, 6: 8780, 8: 16256, 10: 8843, 11: 15464, 13: 18030, 15: 14481, 18: 8214}, ('Category Sum of Odds', 4, 4): {0: 1862, 4: 8889, 8: 11182, 10: 8758, 11: 13239, 13: 19483, 15: 11453, 16: 9426, 18: 9512, 20: 6196}, ('Category Sum of Odds', 4, 5): {0: 5687, 7: 8212, 10: 8159, 11: 10515, 13: 17578, 15: 15171, 16: 10401, 18: 12704, 20: 11573}, ('Category Sum of Odds', 4, 6): {0: 6549, 9: 9058, 11: 8103, 13: 15290, 15: 17784, 16: 10571, 18: 14865, 20: 17780}, ('Category Sum of Odds', 4, 7): {0: 5048, 10: 11824, 13: 12343, 15: 19254, 16: 10290, 18: 15947, 20: 25294}, ('Category Sum of Odds', 4, 8): {0: 3060, 10: 8747, 13: 9912, 15: 19503, 16: 9512, 18: 16250, 20: 33016}, ('Category Sum of Odds', 5, 1): {0: 3061, 1: 8585, 3: 13493, 5: 8737, 6: 18198, 8: 8879, 9: 14795, 11: 15144, 14: 9108}, ('Category Sum of Odds', 5, 2): {0: 5813, 5: 8180, 7: 11117, 9: 14666, 11: 17165, 13: 8344, 14: 13337, 16: 10586, 18: 10792}, ('Category Sum of Odds', 5, 3): {0: 3881, 6: 9272, 9: 10300, 11: 13443, 13: 9355, 14: 14958, 16: 13969, 18: 8174, 19: 8246, 21: 8402}, ('Category Sum of Odds', 5, 4): {0: 4213, 8: 9656, 11: 9124, 13: 15075, 15: 8218, 16: 13970, 18: 16440, 20: 14313, 23: 8991}, ('Category Sum of Odds', 5, 5): {0: 4997, 10: 9128, 13: 11376, 15: 8283, 16: 12576, 18: 17548, 20: 11138, 21: 8982, 23: 9242, 25: 6730}, ('Category Sum of Odds', 5, 6): {0: 4581, 11: 8516, 14: 11335, 16: 10647, 18: 16866, 20: 14372, 21: 9884, 23: 11945, 25: 11854}, ('Category Sum of Odds', 5, 7): {0: 176, 6: 8052, 14: 9210, 16: 8325, 18: 14878, 20: 17146, 21: 10043, 23: 14100, 25: 18070}, ('Category Sum of Odds', 5, 8): {0: 2, 2: 6622, 15: 12097, 18: 12454, 20: 18491, 21: 9907, 23: 15254, 25: 25173}, ('Category Sum of Odds', 6, 1): {0: 1673, 1: 9961, 4: 12188, 6: 16257, 8: 8145, 9: 15764, 11: 13671, 13: 13125, 16: 9216}, ('Category Sum of Odds', 6, 2): {0: 1403, 4: 8241, 8: 9626, 10: 12525, 12: 14245, 14: 15279, 16: 8370, 17: 11320, 19: 8667, 21: 10324}, ('Category Sum of Odds', 6, 3): {0: 6079, 9: 10832, 12: 10094, 14: 13221, 16: 8872, 17: 13666, 19: 12673, 21: 15363, 24: 9200}, ('Category Sum of Odds', 6, 4): {0: 5771, 11: 9419, 14: 9943, 16: 12296, 18: 8483, 19: 14232, 21: 12847, 23: 12798, 25: 9237, 28: 4974}, ('Category Sum of Odds', 6, 5): {0: 2564, 11: 8518, 15: 9981, 17: 10772, 19: 14121, 21: 13179, 23: 15752, 25: 14841, 28: 10272}, ('Category Sum of Odds', 6, 6): {0: 4310, 14: 8668, 17: 8030, 19: 12861, 21: 12052, 23: 16882, 25: 11411, 26: 8543, 28: 9447, 30: 7796}, ('Category Sum of Odds', 6, 7): {0: 5233, 16: 8503, 19: 11127, 21: 10285, 23: 16141, 25: 14467, 26: 9526, 28: 12043, 30: 12675}, ('Category Sum of Odds', 6, 8): {0: 510, 12: 8107, 19: 8810, 21: 8203, 23: 14396, 25: 16723, 26: 10048, 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, 13: 8420, 15: 11146, 17: 12251, 19: 13562, 21: 13473, 23: 11918, 25: 8473, 27: 9685}, ('Category Sum of Odds', 7, 4): {0: 6776, 14: 9986, 17: 8988, 19: 11926, 21: 8147, 22: 12859, 24: 12685, 26: 10835, 28: 9199, 30: 8599}, ('Category Sum of Odds', 7, 5): {0: 2943, 14: 8009, 18: 8202, 20: 12046, 22: 11896, 24: 14166, 26: 12505, 28: 13136, 30: 10486, 33: 6611}, ('Category Sum of Odds', 7, 6): {2: 1990, 15: 8986, 20: 9159, 22: 10039, 24: 13388, 26: 12513, 28: 15893, 30: 15831, 33: 7232, 35: 4969}, ('Category Sum of Odds', 7, 7): {4: 559, 14: 8153, 21: 11671, 24: 12064, 26: 11473, 28: 16014, 30: 11962, 31: 8823, 33: 10174, 35: 9107}, ('Category Sum of Odds', 7, 8): {0: 3, 8: 5190, 21: 8049, 24: 10585, 26: 9647, 28: 15608, 30: 14871, 31: 9462, 33: 12445, 35: 14140}, ('Category Sum of Odds', 8, 1): {0: 7169, 5: 8633, 7: 11129, 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, 16: 8465, 18: 10943, 20: 12379, 22: 12519, 24: 12260, 26: 11008, 28: 10726, 31: 8477}, ('Category Sum of Odds', 8, 4): {1: 3971, 15: 9176, 19: 8129, 21: 10603, 23: 12900, 25: 13405, 27: 11603, 29: 10400, 31: 8537, 33: 11276}, ('Category Sum of Odds', 8, 5): {1: 490, 12: 8049, 20: 9682, 23: 10177, 25: 12856, 27: 12369, 29: 12781, 31: 8385, 32: 9644, 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, 25: 8325, 27: 9130, 29: 12898, 31: 12181, 33: 15650, 35: 17577, 38: 8073, 40: 6294}, ('Category Sum of Odds', 8, 8): {4: 8, 11: 8008, 26: 10314, 29: 11446, 31: 10714, 33: 16060, 35: 12876, 36: 8889, 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, 2: 7317, 4: 35040, 6: 35384}, ('Category Sum of Evens', 1, 4): {0: 18511, 2: 6233, 4: 29418, 6: 45838}, ('Category Sum of Evens', 1, 5): {0: 15428, 2: 5146, 4: 24510, 6: 54916}, ('Category Sum of Evens', 1, 6): {0: 12927, 2: 4255, 4: 20115, 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, 8: 8263, 10: 8438}, ('Category Sum of Evens', 2, 2): {0: 11179, 2: 7503, 4: 19661, 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, 4: 7910, 6: 19247, 8: 11641, 10: 26842, 12: 30369}, ('Category Sum of Evens', 2, 6): {0: 2741, 4: 5313, 6: 17810, 8: 9468, 10: 25582, 12: 39086}, ('Category Sum of Evens', 2, 7): {0: 1122, 2: 4573, 6: 15965, 8: 7645, 10: 23307, 12: 47388}, ('Category Sum of Evens', 2, 8): {0: 3950, 6: 14006, 8: 6462, 10: 20879, 12: 54703}, ('Category Sum of Evens', 3, 1): {0: 12538, 2: 12516, 4: 16530, 6: 21270, 8: 13745, 10: 11209, 12: 7524, 14: 4668}, ('Category Sum of Evens', 3, 2): {0: 7404, 4: 10459, 6: 15644, 8: 15032, 10: 18955, 12: 15021, 14: 8937, 16: 8548}, ('Category Sum of Evens', 3, 3): {0: 2176, 4: 5572, 6: 8576, 8: 12295, 10: 20247, 12: 18001, 14: 15953, 16: 12864, 18: 4316}, ('Category Sum of Evens', 3, 4): {0: 4556, 6: 6844, 8: 8218, 10: 17232, 12: 18975, 14: 15832, 16: 18749, 18: 9594}, ('Category Sum of Evens', 3, 5): {0: 2575, 6: 5105, 8: 5720, 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, 10: 8145, 12: 18146, 14: 10985, 16: 24254, 18: 32287}, ('Category Sum of Evens', 3, 8): {0: 138, 4: 4086, 10: 5777, 12: 16926, 14: 9402, 16: 23114, 18: 40557}, ('Category Sum of Evens', 4, 1): {0: 6214, 2: 8516, 4: 12405, 6: 17434, 8: 15427, 10: 14158, 12: 11354, 14: 6828, 16: 7664}, ('Category Sum of Evens', 4, 2): {0: 2868, 4: 4894, 6: 8468, 8: 10702, 10: 15154, 12: 15715, 14: 14104, 16: 12485, 18: 8084, 20: 7526}, ('Category Sum of Evens', 4, 3): {0: 573, 4: 4781, 8: 5715, 10: 10269, 12: 12879, 14: 16224, 16: 17484, 18: 13847, 20: 10518, 22: 7710}, ('Category Sum of Evens', 4, 4): {0: 1119, 6: 5124, 10: 7096, 12: 10298, 14: 12763, 16: 17947, 18: 16566, 20: 13338, 22: 11215, 24: 4534}, ('Category Sum of Evens', 4, 5): {0: 3477, 10: 4716, 12: 8022, 14: 9638, 16: 16546, 18: 18045, 20: 14172, 22: 16111, 24: 9273}, ('Category Sum of Evens', 4, 6): {0: 991, 8: 4039, 12: 6097, 14: 7068, 16: 14021, 18: 18805, 20: 13848, 22: 20013, 24: 15118}, ('Category Sum of Evens', 4, 7): {0: 2931, 12: 4654, 14: 4930, 16: 11590, 18: 18952, 20: 12601, 22: 21947, 24: 22395}, ('Category Sum of Evens', 4, 8): {0: 1798, 12: 6781, 16: 8943, 18: 18203, 20: 11505, 22: 23056, 24: 29714}, ('Category Sum of Evens', 5, 1): {0: 3192, 2: 5181, 4: 8648, 6: 13373, 8: 13964, 10: 14656, 12: 13468, 14: 10245, 16: 7574, 18: 4873, 20: 4826}, ('Category Sum of Evens', 5, 2): {0: 3217, 6: 4054, 8: 6336, 10: 9910, 12: 12184, 14: 13824, 16: 14674, 18: 12124, 20: 9742, 22: 6877, 24: 7058}, ('Category Sum of Evens', 5, 3): {0: 3904, 10: 4446, 12: 6558, 14: 10339, 16: 13128, 18: 14686, 20: 15282, 22: 13294, 24: 9361, 26: 9002}, ('Category Sum of Evens', 5, 4): {0: 43, 4: 4025, 12: 4093, 14: 6555, 16: 10437, 18: 12724, 20: 14710, 22: 16005, 24: 12896, 26: 9761, 28: 8751}, ('Category Sum of Evens', 5, 5): {0: 350, 8: 4392, 14: 4006, 16: 7635, 18: 10297, 20: 12344, 22: 16826, 24: 15490, 26: 12235, 28: 11323, 30: 5102}, ('Category Sum of Evens', 5, 6): {0: 374, 10: 4670, 16: 5274, 18: 8224, 20: 9688, 22: 16041, 24: 17286, 26: 13565, 28: 15274, 30: 9604}, ('Category Sum of Evens', 5, 7): {0: 1473, 14: 4943, 18: 6367, 20: 7478, 22: 13863, 24: 18114, 26: 13349, 28: 19048, 30: 15365}, ('Category Sum of Evens', 5, 8): {0: 1, 4: 3753, 18: 4912, 20: 5406, 22: 11699, 24: 18376, 26: 12500, 28: 21211, 30: 22142}, ('Category Sum of Evens', 6, 1): {0: 4767, 4: 5715, 6: 9535, 8: 11527, 10: 13220, 12: 13855, 14: 12217, 16: 10036, 18: 7641, 20: 5155, 22: 6332}, ('Category Sum of Evens', 6, 2): {0: 1380, 6: 5285, 10: 5781, 12: 8107, 14: 10495, 16: 12112, 18: 12962, 20: 12458, 22: 10842, 24: 8362, 26: 5714, 28: 6502}, ('Category Sum of Evens', 6, 3): {0: 1230, 10: 4741, 14: 5066, 16: 7714, 18: 10098, 20: 12628, 22: 13809, 24: 13594, 26: 11930, 28: 8967, 30: 5778, 32: 4445}, ('Category Sum of Evens', 6, 4): {0: 1235, 12: 4092, 16: 4678, 18: 6764, 20: 9551, 22: 12530, 24: 13471, 26: 13991, 28: 12906, 30: 9662, 32: 6534, 34: 4586}, ('Category Sum of Evens', 6, 5): {0: 1241, 14: 4118, 18: 4392, 20: 6604, 22: 9916, 24: 11810, 26: 13874, 28: 15232, 30: 12927, 32: 9788, 34: 10098}, ('Category Sum of Evens', 6, 6): {0: 1224, 16: 4254, 20: 4214, 22: 7418, 24: 9870, 26: 11838, 28: 15982, 30: 15534, 32: 12014, 34: 11679, 36: 5973}, ('Category Sum of Evens', 6, 7): {4: 1437, 18: 4249, 22: 5154, 24: 8221, 26: 9426, 28: 15301, 30: 17083, 32: 13001, 34: 15604, 36: 10524}, ('Category Sum of Evens', 6, 8): {4: 1707, 20: 4949, 24: 6361, 26: 7209, 28: 13662, 30: 18101, 32: 12842, 34: 18840, 36: 16329}, ('Category Sum of Evens', 7, 1): {0: 780, 2: 5457, 6: 6451, 8: 8939, 10: 11183, 12: 12690, 14: 12463, 16: 11578, 18: 9725, 20: 7614, 22: 8870, 26: 4250}, ('Category Sum of Evens', 7, 2): {0: 1433, 8: 4651, 12: 4933, 14: 7121, 16: 9103, 18: 10694, 20: 11747, 22: 12101, 24: 10947, 26: 9407, 28: 7140, 30: 4969, 32: 5754}, ('Category Sum of Evens', 7, 3): {0: 2135, 14: 5836, 18: 5753, 20: 8013, 22: 10305, 24: 12043, 26: 13153, 28: 12644, 30: 10884, 32: 8457, 34: 5494, 36: 5283}, ('Category Sum of Evens', 7, 4): {0: 1762, 16: 4828, 20: 4695, 22: 6948, 24: 9234, 26: 11605, 28: 12907, 30: 13018, 32: 11907, 34: 10022, 36: 6630, 38: 6444}, ('Category Sum of Evens', 7, 5): {4: 1630, 18: 4069, 22: 4347, 24: 6303, 26: 8816, 28: 11561, 30: 12713, 32: 13273, 34: 13412, 36: 10366, 38: 7212, 40: 6298}, ('Category Sum of Evens', 7, 6): {4: 1436, 20: 4042, 24: 4176, 26: 6057, 28: 9389, 30: 11291, 32: 12798, 34: 15385, 36: 13346, 38: 10011, 40: 12069}, ('Category Sum of Evens', 7, 7): {6: 2815, 24: 6584, 28: 7007, 30: 9525, 32: 11106, 34: 15613, 36: 15702, 38: 12021, 40: 12478, 42: 7149}, ('Category Sum of Evens', 7, 8): {10: 1490, 24: 4104, 28: 5058, 30: 7669, 32: 9076, 34: 14812, 36: 16970, 38: 12599, 40: 16137, 42: 12085}, ('Category Sum of Evens', 8, 1): {0: 3709, 6: 4344, 8: 6532, 10: 8598, 12: 10648, 14: 11696, 16: 11862, 18: 11145, 20: 9463, 22: 7414, 24: 9272, 28: 5317}, ('Category Sum of Evens', 8, 2): {0: 1361, 10: 4297, 14: 4098, 16: 6135, 18: 7865, 20: 9772, 22: 10922, 24: 11148, 26: 10879, 28: 9711, 30: 8043, 32: 6058, 34: 4215, 36: 5496}, ('Category Sum of Evens', 8, 3): {2: 1601, 16: 4246, 20: 4428, 22: 6221, 24: 8306, 26: 10158, 28: 11561, 30: 12249, 32: 11747, 34: 10070, 36: 7860, 38: 5627, 40: 5926}, ('Category Sum of Evens', 8, 4): {0: 2339, 20: 5286, 24: 4882, 26: 6864, 28: 9047, 30: 10811, 32: 12344, 34: 12243, 36: 11307, 38: 9623, 40: 7009, 42: 8245}, ('Category Sum of Evens', 8, 5): {4: 1798, 22: 4366, 26: 4229, 28: 6229, 30: 8178, 32: 10485, 34: 12180, 36: 12458, 38: 12260, 40: 10958, 42: 7933, 44: 8926}, ('Category Sum of Evens', 8, 6): {6: 2908, 26: 6292, 30: 5727, 32: 7846, 34: 10367, 36: 12064, 38: 12862, 40: 13920, 42: 11359, 44: 8361, 46: 8294}, ('Category Sum of Evens', 8, 7): {8: 2652, 28: 6168, 32: 5303, 34: 8619, 36: 10651, 38: 12089, 40: 14999, 42: 13899, 44: 10574, 46: 10004, 48: 5042}, ('Category Sum of Evens', 8, 8): {10: 4, 14: 2543, 30: 6023, 34: 6358, 36: 8996, 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, 12: 2892, 14: 8284}, ('Category Double Threes and Fours', 2, 2): {0: 19720, 6: 24652, 8: 24891, 12: 7693, 14: 15403, 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, 12: 8471, 14: 26935, 16: 21136}, ('Category Double Threes and Fours', 2, 5): {0: 4307, 6: 10005, 8: 22620, 12: 6057, 14: 26822, 16: 30189}, ('Category Double Threes and Fours', 2, 6): {0: 2879, 6: 7047, 8: 21466, 12: 4204, 14: 25326, 16: 39078}, ('Category Double Threes and Fours', 2, 7): {0: 2042, 6: 4637, 8: 19698, 12: 2846, 14: 23404, 16: 47373}, ('Category Double Threes and Fours', 2, 8): {0: 1385, 6: 3373, 8: 19793, 14: 20907, 16: 54542}, ('Category Double Threes and Fours', 3, 1): {0: 29378, 6: 22335, 8: 22138, 12: 5551, 14: 11232, 16: 9366}, ('Category Double Threes and Fours', 3, 2): {0: 8894, 6: 16518, 8: 16277, 12: 10334, 14: 20757, 16: 12265, 20: 6399, 22: 8556}, ('Category Double Threes and Fours', 3, 3): {0: 2643, 6: 9270, 8: 9252, 12: 11066, 14: 21922, 16: 11045, 18: 4335, 20: 12900, 22: 13101, 24: 4466}, ('Category Double Threes and Fours', 3, 4): {0: 1523, 6: 5443, 8: 8330, 12: 6223, 14: 20310, 16: 18276, 20: 11695, 22: 18521, 24: 9679}, ('Category Double Threes and Fours', 3, 5): {0: 845, 6: 3180, 8: 7038, 12: 3700, 14: 16545, 16: 20293, 20: 9740, 22: 22168, 24: 16491}, ('Category Double Threes and Fours', 3, 6): {0: 499, 8: 7230, 14: 15028, 16: 20914, 20: 7959, 22: 23876, 24: 24494}, ('Category Double Threes and Fours', 3, 7): {0: 1298, 8: 5434, 14: 9997, 16: 20598, 20: 5970, 22: 24010, 24: 32693}, ('Category Double Threes and Fours', 3, 8): {0: 178, 6: 4363, 14: 7514, 16: 19905, 20: 4456, 22: 23158, 24: 40426}, ('Category Double Threes and Fours', 4, 1): {0: 19809, 6: 19538, 8: 19765, 12: 7513, 14: 14835, 16: 7377, 18: 5026, 22: 6137}, ('Category Double Threes and Fours', 4, 2): {0: 3972, 6: 9759, 8: 9681, 12: 9152, 14: 18494, 16: 12978, 20: 11442, 22: 11245, 24: 6728, 28: 6549}, ('Category Double Threes and Fours', 4, 3): {0: 745, 6: 7209, 12: 6446, 14: 12957, 16: 6563, 18: 5181, 20: 15371, 22: 15441, 24: 6812, 26: 6250, 28: 9263, 30: 7762}, ('Category Double Threes and Fours', 4, 4): {0: 371, 6: 4491, 12: 3063, 14: 10057, 16: 10176, 20: 11583, 22: 18508, 24: 10280, 26: 4741, 28: 10883, 30: 11372, 32: 4475}, ('Category Double Threes and Fours', 4, 5): {0: 163, 6: 4251, 14: 6844, 16: 8952, 20: 8048, 22: 18097, 24: 17306, 28: 10930, 30: 16244, 32: 9165}, ('Category Double Threes and Fours', 4, 6): {0: 79, 6: 2446, 14: 4451, 16: 7542, 20: 5399, 22: 16364, 24: 18861, 28: 9736, 30: 19782, 32: 15340}, ('Category Double Threes and Fours', 4, 7): {0: 1042, 12: 3256, 16: 9287, 22: 13634, 24: 20162, 28: 8204, 30: 22055, 32: 22360}, ('Category Double Threes and Fours', 4, 8): {0: 20, 6: 2490, 16: 6901, 22: 10960, 24: 20269, 28: 6551, 30: 22891, 32: 29918}, ('Category Double Threes and Fours', 5, 1): {0: 13122, 6: 16411, 8: 16451, 12: 8304, 14: 16464, 16: 10392, 20: 6145, 22: 8383, 26: 4328}, ('Category Double Threes and Fours', 5, 2): {0: 1676, 6: 5469, 8: 5318, 12: 6656, 14: 13562, 16: 6786, 18: 4316, 20: 12668, 22: 12832, 24: 5636, 26: 5358, 28: 7847, 30: 7543, 34: 4333}, ('Category Double Threes and Fours', 5, 3): {0: 223, 6: 2722, 12: 3259, 14: 6384, 16: 7165, 20: 11385, 22: 11613, 24: 6096, 26: 9086, 28: 13665, 30: 9486, 32: 4914, 34: 5404, 36: 8598}, ('Category Double Threes and Fours', 5, 4): {0: 95, 6: 2712, 14: 4130, 16: 4732, 20: 7322, 22: 11374, 24: 6778, 26: 5595, 28: 13488, 30: 14319, 32: 7169, 34: 5245, 36: 8341, 38: 8700}, ('Category Double Threes and Fours', 5, 5): {0: 1333, 14: 5458, 20: 4128, 22: 9485, 24: 10772, 28: 11201, 30: 16810, 32: 10248, 34: 4446, 36: 9980, 38: 11129, 40: 5010}, ('Category Double Threes and Fours', 5, 6): {0: 16, 6: 1848, 16: 4506, 22: 7062, 24: 9151, 28: 8349, 30: 17020, 32: 16845, 36: 10243, 38: 15569, 40: 9391}, ('Category Double Threes and Fours', 5, 7): {0: 161, 12: 3457, 22: 4805, 24: 7632, 28: 5843, 30: 15652, 32: 18636, 36: 9333, 38: 19248, 40: 15233}, ('Category Double Threes and Fours', 5, 8): {0: 478, 16: 4861, 24: 5723, 26: 4396, 30: 13694, 32: 19681, 36: 8113, 38: 21064, 40: 21990}, ('Category Double Threes and Fours', 6, 1): {0: 8738, 6: 13463, 8: 12988, 12: 8147, 14: 16506, 16: 11068, 20: 8158, 22: 11463, 26: 5157, 30: 4312}, ('Category Double Threes and Fours', 6, 2): {0: 784, 6: 5735, 12: 4564, 14: 8843, 16: 8170, 20: 11349, 22: 11356, 24: 5588, 26: 6877, 28: 10790, 30: 11527, 34: 4398, 36: 4501, 38: 5518}, ('Category Double Threes and Fours', 6, 3): {0: 72, 6: 2456, 14: 6530, 20: 6930, 22: 6770, 24: 4357, 26: 8000, 28: 12114, 30: 9057, 32: 6825, 34: 9548, 36: 9738, 38: 6065, 40: 7475, 44: 4063}, ('Category Double Threes and Fours', 6, 4): {0: 439, 12: 3126, 18: 4301, 22: 9284, 26: 4164, 28: 10039, 30: 10836, 32: 6720, 34: 7926, 36: 12511, 38: 10194, 40: 5366, 42: 4836, 44: 5640, 46: 4618}, ('Category Double Threes and Fours', 6, 5): {0: 166, 12: 2036, 20: 5582, 24: 5198, 28: 6985, 30: 10494, 32: 7047, 34: 5449, 36: 12190, 38: 14163, 40: 7833, 42: 4738, 44: 8161, 46: 9958}, ('Category Double Threes and Fours', 6, 6): {0: 4, 6: 1839, 22: 5905, 28: 4300, 30: 8697, 32: 10631, 36: 10342, 38: 16439, 40: 10795, 42: 4008, 44: 9477, 46: 11631, 48: 5932}, ('Category Double Threes and Fours', 6, 7): {0: 31, 12: 2221, 24: 5004, 30: 6708, 32: 9035, 36: 8028, 38: 16374, 40: 17005, 44: 9660, 46: 15581, 48: 10353}, ('Category Double Threes and Fours', 6, 8): {8: 79, 16: 4037, 30: 4988, 32: 7571, 36: 5846, 38: 15017, 40: 18347, 44: 9045, 46: 18638, 48: 16432}, ('Category Double Threes and Fours', 7, 1): {0: 5803, 6: 10242, 8: 10404, 12: 7634, 14: 15252, 16: 10934, 20: 9418, 22: 9715, 24: 7193, 28: 8167, 32: 5238}, ('Category Double Threes and Fours', 7, 2): {0: 357, 6: 2962, 12: 2776, 14: 5631, 16: 5713, 20: 8788, 22: 8736, 24: 4687, 26: 7287, 28: 11132, 30: 7900, 32: 5286, 34: 6959, 36: 7000, 38: 4228, 40: 5800, 44: 4758}, ('Category Double Threes and Fours', 7, 3): {0: 361, 12: 2305, 18: 4831, 22: 5983, 26: 5630, 28: 8269, 30: 6641, 32: 6333, 34: 10088, 36: 10081, 38: 7494, 40: 6987, 42: 7821, 44: 6306, 46: 6547, 50: 4323}, ('Category Double Threes and Fours', 7, 4): {0: 1182, 18: 4299, 24: 4114, 28: 5838, 30: 6379, 32: 4601, 34: 6715, 36: 10741, 38: 9398, 40: 6630, 42: 8597, 44: 10218, 46: 7244, 48: 7981, 52: 6063}, ('Category Double Threes and Fours', 7, 5): {0: 45, 12: 3763, 26: 4247, 30: 5190, 32: 7703, 36: 8930, 38: 10182, 40: 6767, 42: 6888, 44: 11990, 46: 11137, 48: 5993, 50: 4653, 52: 6259, 54: 6253}, ('Category Double Threes and Fours', 7, 6): {8: 10, 12: 2390, 28: 5277, 32: 5084, 36: 6292, 38: 9755, 40: 7116, 42: 5017, 44: 11451, 46: 14027, 48: 8688, 50: 4510, 52: 8339, 54: 12044}, ('Category Double Threes and Fours', 7, 7): {6: 1968, 30: 5585, 36: 4015, 38: 8195, 40: 10376, 44: 9719, 46: 15829, 48: 15392, 52: 9257, 54: 12409, 56: 7255}, ('Category Double Threes and Fours', 7, 8): {8: 42, 20: 2293, 32: 4653, 38: 6452, 40: 8616, 44: 7554, 46: 15616, 48: 17057, 52: 9418, 54: 16183, 56: 12116}, ('Category Double Threes and Fours', 8, 1): {0: 3982, 6: 7946, 8: 7712, 12: 6731, 14: 13657, 16: 10234, 20: 10167, 22: 10162, 24: 4614, 26: 4302, 28: 6414, 30: 4504, 32: 4254, 36: 5321}, ('Category Double Threes and Fours', 8, 2): {0: 161, 6: 3169, 14: 7106, 20: 6475, 22: 10084, 26: 6631, 28: 9769, 30: 7306, 32: 5644, 34: 8035, 36: 8364, 38: 5473, 40: 4617, 42: 5074, 44: 6400, 48: 5692}, ('Category Double Threes and Fours', 8, 3): {0: 856, 16: 4092, 24: 4724, 28: 4918, 30: 4044, 32: 4752, 34: 8086, 36: 8106, 38: 6904, 40: 7729, 42: 9356, 44: 8078, 46: 5989, 48: 6119, 50: 5725, 52: 6500, 56: 4022}, ('Category Double Threes and Fours', 8, 4): {0: 36, 12: 2795, 26: 4033, 30: 5709, 34: 4515, 36: 7211, 38: 6651, 40: 5753, 42: 8437, 44: 10354, 46: 8005, 48: 6657, 50: 7755, 52: 7763, 54: 8066, 58: 6260}, ('Category Double Threes and Fours', 8, 5): {6: 8, 12: 2948, 30: 5791, 36: 4863, 38: 5795, 40: 4470, 42: 5705, 44: 9760, 46: 9599, 48: 6812, 50: 7637, 52: 10531, 54: 8556, 56: 4701, 58: 4174, 60: 8650}, ('Category Double Threes and Fours', 8, 6): {0: 2, 12: 2528, 32: 4832, 38: 4423, 40: 7013, 44: 7896, 46: 9936, 48: 6877, 50: 6139, 52: 11631, 54: 12058, 56: 6986, 58: 4472, 60: 6904, 62: 8303}, ('Category Double Threes and Fours', 8, 7): {6: 2, 12: 2204, 36: 4638, 40: 4682, 44: 5588, 46: 9100, 48: 7192, 50: 4302, 52: 10602, 54: 14541, 56: 9724, 58: 4125, 60: 8403, 62: 9808, 64: 5089}, ('Category Double Threes and Fours', 8, 8): {8: 1, 16: 1773, 38: 4294, 42: 4472, 46: 7646, 48: 9806, 52: 8871, 54: 15467, 56: 15722, 60: 9206, 62: 13539, 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: 5485, 16: 2834}, ('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, 4: 3974, 8: 26489, 12: 15756, 16: 50635}, ('Category Quadruple Ones and Twos', 2, 8): {0: 2265, 4: 2724, 8: 23578, 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: 6481, 24: 2148}, ('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, 4: 3219, 8: 13478, 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, 20: 3979, 24: 2092}, ('Category Quadruple Ones and Twos', 4, 2): {0: 4023, 4: 9776, 8: 19015, 12: 22094, 16: 20986, 20: 13805, 24: 7340, 28: 2961}, ('Category Quadruple Ones and Twos', 4, 3): {0: 1848, 4: 4705, 8: 12411, 12: 16853, 16: 22831, 20: 18400, 24: 14480, 28: 5902, 32: 2570}, ('Category Quadruple Ones and Twos', 4, 4): {0: 930, 4: 2291, 8: 8084, 12: 12063, 16: 21220, 20: 19266, 24: 20615, 28: 9443, 32: 6088}, ('Category Quadruple Ones and Twos', 4, 5): {0: 1561, 8: 4963, 12: 7649, 16: 18209, 20: 17910, 24: 25474, 28: 12864, 32: 11370}, ('Category Quadruple Ones and Twos', 4, 6): {0: 722, 8: 3048, 12: 4931, 16: 14796, 20: 15416, 24: 28256, 28: 14675, 32: 18156}, ('Category Quadruple Ones and Twos', 4, 7): {0: 115, 4: 2115, 12: 3189, 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, 4: 2161, 8: 6362, 12: 11074, 16: 17322, 20: 19002, 24: 18643, 28: 12827, 32: 7960, 36: 3930}, ('Category Quadruple Ones and Twos', 5, 4): {0: 1152, 8: 3209, 12: 6581, 16: 12913, 20: 15867, 24: 20749, 28: 16398, 32: 14218, 36: 5931, 40: 2982}, ('Category Quadruple Ones and Twos', 5, 5): {0: 98, 4: 2069, 12: 3480, 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, 16: 3712, 20: 5684, 24: 14936, 28: 14969, 32: 27238, 36: 14094, 40: 17918}, ('Category Quadruple Ones and Twos', 5, 8): {0: 747, 16: 2344, 20: 3690, 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, 4: 2876, 8: 7435, 12: 12792, 16: 17480, 20: 18814, 24: 16492, 28: 11889, 32: 6893, 36: 4485}, ('Category Quadruple Ones and Twos', 6, 3): {0: 1241, 8: 3203, 12: 6431, 16: 11685, 20: 15584, 24: 17967, 28: 16506, 32: 13314, 36: 8034, 40: 6035}, ('Category Quadruple Ones and Twos', 6, 4): {0: 1745, 12: 3077, 16: 6727, 20: 10562, 24: 15746, 28: 17174, 32: 17787, 36: 12820, 40: 9289, 44: 5073}, ('Category Quadruple Ones and Twos', 6, 5): {0: 36, 4: 2040, 16: 3781, 20: 6466, 24: 12264, 28: 14810, 32: 19588, 36: 16002, 40: 14682, 44: 6410, 48: 3921}, ('Category Quadruple Ones and Twos', 6, 6): {0: 884, 16: 2094, 20: 3849, 24: 8774, 28: 11481, 32: 19145, 36: 16864, 40: 19906, 44: 9386, 48: 7617}, ('Category Quadruple Ones and Twos', 6, 7): {0: 1386, 20: 2123, 24: 6015, 28: 8372, 32: 17207, 36: 16148, 40: 24051, 44: 11862, 48: 12836}, ('Category Quadruple Ones and Twos', 6, 8): {0: 1841, 24: 3868, 28: 5738, 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, 28: 4458, 32: 3416}, ('Category Quadruple Ones and Twos', 7, 2): {0: 1795, 8: 4327, 12: 8501, 16: 13204, 20: 16895, 24: 17562, 28: 15061, 32: 11122, 36: 6507, 40: 5026}, ('Category Quadruple Ones and Twos', 7, 3): {0: 2065, 12: 3419, 16: 7076, 20: 11008, 24: 14839, 28: 16393, 32: 16118, 36: 12681, 40: 8773, 44: 4707, 48: 2921}, ('Category Quadruple Ones and Twos', 7, 4): {0: 1950, 16: 3362, 20: 6250, 24: 10535, 28: 13596, 32: 16527, 36: 15938, 40: 14071, 44: 9192, 48: 5741, 52: 2838}, ('Category Quadruple Ones and Twos', 7, 5): {0: 223, 12: 2044, 20: 3100, 24: 6337, 28: 9400, 32: 14443, 36: 15955, 40: 17820, 44: 13369, 48: 10702, 52: 4316, 56: 2291}, ('Category Quadruple Ones and Twos', 7, 6): {0: 271, 16: 2229, 24: 3747, 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, 24: 2129, 28: 3595, 32: 8275, 36: 10801, 40: 18184, 44: 16470, 48: 20467, 52: 9969, 56: 9078}, ('Category Quadruple Ones and Twos', 7, 8): {0: 1, 8: 1507, 28: 2117, 32: 5715, 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, 32: 3601, 36: 2645}, ('Category Quadruple Ones and Twos', 8, 2): {0: 906, 8: 2413, 12: 5355, 16: 9421, 20: 13623, 24: 16213, 28: 16246, 32: 14131, 36: 10076, 40: 6198, 44: 3336, 48: 2082}, ('Category Quadruple Ones and Twos', 8, 3): {0: 224, 8: 2520, 16: 4021, 20: 7201, 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, 12: 2060, 20: 3103, 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, 24: 2989, 28: 5327, 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, 20: 2004, 28: 2711, 32: 5606, 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, 24: 2044, 32: 3399, 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, 28: 2454, 36: 3224, 40: 7484, 44: 9727, 48: 17080, 52: 15898, 56: 21877, 60: 10773, 64: 11129}, ('Category Micro Straight', 1, 1): {0: 100000}, ('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}} \ No newline at end of file diff --git a/worlds/yachtdice/__init__.py b/worlds/yachtdice/__init__.py index e7b601c2fb..a9f4588f4a 100644 --- a/worlds/yachtdice/__init__.py +++ b/worlds/yachtdice/__init__.py @@ -56,7 +56,7 @@ class YachtDiceWorld(World): item_name_groups = item_groups - ap_world_version = "2.0.6" + ap_world_version = "2.1.0" def _get_yachtdice_data(self): return { @@ -142,10 +142,10 @@ class YachtDiceWorld(World): ] # categories used in this game. - possible_categories = [] + self.possible_categories = [] for index, cats in enumerate(all_categories): - possible_categories.append(cats[categorylist[index]]) + self.possible_categories.append(cats[categorylist[index]]) # Add Choice and Inverse choice (or their alts) to the precollected list. if index == 0 or index == 1: @@ -264,7 +264,7 @@ class YachtDiceWorld(World): # which often don't give any points, until you get overpowered, and then they give all points. cat_weights = [2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1] weights["Double category"] /= 1.1 - return self.random.choices(possible_categories, weights=cat_weights)[0] + return self.random.choices(self.possible_categories, weights=cat_weights)[0] elif which_item_to_add == "Points": score_dist = self.options.points_size probs = {"1 Point": 1, "10 Points": 0, "100 Points": 0} @@ -301,7 +301,7 @@ class YachtDiceWorld(World): self.itempool.append(get_item_to_add(weights, extra_points_added, multipliers_added, items_added)) score_in_logic = dice_simulation_fill_pool( - self.itempool + self.precollected, self.frags_per_dice, self.frags_per_roll, self.difficulty, self.player + self.itempool + self.precollected, self.frags_per_dice, self.frags_per_roll, self.possible_categories, self.difficulty, self.player ) # if we overshoot, remove items until you get below 1000, then return the last removed item @@ -313,6 +313,7 @@ class YachtDiceWorld(World): self.itempool + self.precollected, self.frags_per_dice, self.frags_per_roll, + self.possible_categories, self.difficulty, self.player, ) @@ -333,6 +334,7 @@ class YachtDiceWorld(World): self.itempool + self.precollected, self.frags_per_dice, self.frags_per_roll, + self.possible_categories, self.difficulty, self.player, ) @@ -443,7 +445,7 @@ class YachtDiceWorld(World): """ set rules per location, and add the rule for beating the game """ - set_yacht_rules(self.multiworld, self.player, self.frags_per_dice, self.frags_per_roll, self.difficulty) + set_yacht_rules(self.multiworld, self.player, self.frags_per_dice, self.frags_per_roll, self.possible_categories, self.difficulty) set_yacht_completion_rules(self.multiworld, self.player) def fill_slot_data(self): @@ -463,6 +465,7 @@ class YachtDiceWorld(World): slot_data = {**yacht_dice_data, **yacht_dice_options} # combine the two slot_data["goal_score"] = self.goal_score slot_data["last_check_score"] = self.max_score + slot_data["allowed_categories"] = self.possible_categories slot_data["ap_world_version"] = self.ap_world_version return slot_data