From 260405469deaf53ca7c3f8983bb561dd4bef6c11 Mon Sep 17 00:00:00 2001 From: spinerak Date: Wed, 5 Jun 2024 23:48:47 +0200 Subject: [PATCH] Formatting style --- worlds/yachtdice/Items.py | 2 +- worlds/yachtdice/Locations.py | 2 +- worlds/yachtdice/Options.py | 16 +++--- worlds/yachtdice/Rules.py | 45 ++++++++------- worlds/yachtdice/YachtWeights.py | 2 +- worlds/yachtdice/__init__.py | 92 ++++++++++++++++--------------- worlds/yachtdice/docs/setup_en.md | 2 +- 7 files changed, 81 insertions(+), 80 deletions(-) diff --git a/worlds/yachtdice/Items.py b/worlds/yachtdice/Items.py index ec8a0ebea8..cc2f30e028 100644 --- a/worlds/yachtdice/Items.py +++ b/worlds/yachtdice/Items.py @@ -73,7 +73,7 @@ item_table = { "100 Points": ItemData(16871244303, ItemClassification.progression) } -ITEM_GROUPS = { +item_groups = { "Score Multiplier": { "Score Multiplier", "Step Score Multiplier", diff --git a/worlds/yachtdice/Locations.py b/worlds/yachtdice/Locations.py index ee087c71c9..1bd091767b 100644 --- a/worlds/yachtdice/Locations.py +++ b/worlds/yachtdice/Locations.py @@ -15,7 +15,7 @@ class YachtDiceLocation(Location): self.event = not address all_locations = {} -starting_index = 16871244500 #500 more than the startin index for items +starting_index = 16871244500 #500 more than the starting index for items #Function that is called when this file is loaded, which loads in ALL possible locations, score 1 to 1000 def all_locations_fun(max_score): diff --git a/worlds/yachtdice/Options.py b/worlds/yachtdice/Options.py index 8d76ba4a74..32eec57911 100644 --- a/worlds/yachtdice/Options.py +++ b/worlds/yachtdice/Options.py @@ -5,8 +5,8 @@ class gameDifficulty(Choice): """ Difficulty. This setting determines how difficult the scores are to achieve. Easy: for beginners. No luck required, just roll the dice and have fun. Lower final goal. - Medium: intended difficulty. If you play smart, you'll finish the game without any trouble. - Hard: you'll need to play smart and be lucky. + Medium: intended difficulty. If you play smart, you will finish the game without any trouble. + Hard: you will need to play smart and be lucky. Extreme: really hard mode, which requires many brain wrinkles and insane luck. NOT RECOMMENDED FOR MULTIWORLDS. """ display_name = "Game difficulty" @@ -58,7 +58,7 @@ class numberDiceFragmentsPerDice(Range): Dice can be split into fragments, gathering enough will give you an extra dice. You start with one dice, and there will always be one full dice in the pool. The other dice are split into fragments, according to this setting. - Setting this to 1 fragment per dice just puts 'Dice' objects in the pool. + Setting this to 1 fragment per dice just puts "Dice" objects in the pool. """ display_name = "Number of dice fragments per dice" range_start = 1 @@ -70,7 +70,7 @@ class numberRollFragmentsPerRoll(Range): Rolls can be split into fragments, gathering enough will give you an extra roll. You start with one roll, and there will always be one full roll in the pool. The other three rolls are split into fragments, according to this setting. - Setting this to 1 fragment per roll just puts 'Roll' objects in the pool. + Setting this to 1 fragment per roll just puts "Roll" objects in the pool. """ display_name = "Number of roll fragments per roll" range_start = 1 @@ -110,7 +110,7 @@ class chanceOfDice(Range): class chanceOfRoll(Range): """ - With more rolls, you'll be able to reach higher scores. + With more rolls, you will be able to reach higher scores. """ display_name = "Weight of adding Roll" range_start = 0 @@ -187,7 +187,7 @@ class addExtraPoints(Choice): all_of_it: fill all locations with extra points sure: put some bonus points in - never: don't put any bonus points + never: do not put any bonus points """ display_name = "Extra bonus in the pool" option_all_of_it = 1 @@ -199,11 +199,11 @@ class addStoryChapters(Choice): """ Yacht Dice typically has space for more items. If there is space, would you like story chapters shuffled in the item pool? - Note: if you have extra points on "all_of_it", there won't be story chapters. + Note: if you have extra points on "all_of_it", there will not be story chapters. all_of_it: fill all locations with story chapters sure: if there is space left, put in 10 story chapters. - never: don't put any story chapters, I don't like reading (but I'm glad you're reading THIS!) + never: do not put any story chapters, I do not like reading (but I am glad you are reading THIS!) """ display_name = "Extra story chapters in the pool" option_all_of_it = 1 diff --git a/worlds/yachtdice/Rules.py b/worlds/yachtdice/Rules.py index 9eef89ba72..42f83afc4b 100644 --- a/worlds/yachtdice/Rules.py +++ b/worlds/yachtdice/Rules.py @@ -56,17 +56,17 @@ class Category: self.quantity = quantity #how many times you have the category #return mean score of a category - def meanScore(self, nbDice, nbRolls): - if nbDice == 0 or nbRolls == 0: + def mean_score(self, num_dice, num_rolls): + if num_dice == 0 or num_rolls == 0: return 0 - meanScore = 0 - for key in yacht_weights[self.name, min(8,nbDice), min(8,nbRolls)]: - meanScore += key*yacht_weights[self.name, min(8,nbDice), min(8,nbRolls)][key]/100000 - return meanScore * self.quantity + mean_score = 0 + for key in yacht_weights[self.name, min(8,num_dice), min(8,num_rolls)]: + mean_score += key*yacht_weights[self.name, min(8,num_dice), min(8,num_rolls)][key]/100000 + return mean_score * self.quantity -def extractProgression(state, player, options): +def extract_progression(state, player, options): #method to obtain a list of what items the player has. #this includes categories, dice, rolls and score multiplier. @@ -118,16 +118,16 @@ def extractProgression(state, player, options): yachtdice_cache = {} #Function that returns the feasible score in logic based on items obtained. -def diceSimulationStrings(categories, nbDice, nbRolls, fixed_mult, step_mult, diff): +def dice_simulation_strings(categories, num_dice, num_rolls, fixed_mult, step_mult, diff): tup = tuple([tuple(sorted([c.name+str(c.quantity) for c in categories])), - nbDice, nbRolls, fixed_mult, step_mult, diff]) #identifier + num_dice, num_rolls, fixed_mult, step_mult, diff]) #identifier #if already computed, return the result if tup in yachtdice_cache.keys(): return yachtdice_cache[tup] #sort categories because for the step multiplier, you will want low-scorig categories first - categories.sort(key=lambda category: category.meanScore(nbDice, nbRolls)) + categories.sort(key=lambda category: category.mean_score(num_dice, num_rolls)) #function to add two discrete distribution. def add_distributions(dist1, dist2): @@ -137,8 +137,8 @@ def diceSimulationStrings(categories, nbDice, nbRolls, fixed_mult, step_mult, di combined_dist[val1 + val2] += prob1 * prob2 return dict(combined_dist) - #function to take the maximum of 'times' i.i.d. dist1. - #I've tried using defaultdict but this made it slower. + #function to take the maximum of "times" i.i.d. dist1. + #I have tried using defaultdict but this made it slower. def max_dist(dist1, mults): new_dist = {0: 1} for mult in mults: @@ -173,23 +173,22 @@ def diceSimulationStrings(categories, nbDice, nbRolls, fixed_mult, step_mult, di return prev_val if prev_val is not None else sorted_values[0] - percReturn = [[0], [0.1, 0.5], [0.3, 0.7], [0.55, 0.85], [0.85, 0.95]][diff] - diffDivide = [0, 9, 7, 3, 2][diff] + perc_return = [[0], [0.1, 0.5], [0.3, 0.7], [0.55, 0.85], [0.85, 0.95]][diff] + diff_divide = [0, 9, 7, 3, 2][diff] - #calculate total distribution total_dist = {0: 1} for j in range(len(categories)): - if nbDice == 0 or nbRolls == 0: + if num_dice == 0 or num_rolls == 0: dist = {0: 100000} else: - dist = yacht_weights[categories[j].name, min(8,nbDice), min(8,nbRolls)].copy() + dist = yacht_weights[categories[j].name, min(8,num_dice), min(8,num_rolls)].copy() for key in dist.keys(): dist[key] /= 100000 cat_mult = 2 ** (categories[j].quantity-1) - max_tries = j // diffDivide + max_tries = j // diff_divide mults = [(1 + fixed_mult + step_mult * ii) * cat_mult for ii in range(max(0,j - max_tries), j+1)] #for higher difficulties, the simulation gets multiple tries for categories. @@ -198,13 +197,13 @@ def diceSimulationStrings(categories, nbDice, nbRolls, fixed_mult, step_mult, di total_dist = add_distributions(total_dist, dist) #save result into the cache, then return it - yachtdice_cache[tup] = math.floor(sum([percentile_distribution(total_dist, perc) for perc in percReturn]) / len(percReturn)) + yachtdice_cache[tup] = math.floor(sum([percentile_distribution(total_dist, perc) for perc in perc_return]) / len(perc_return)) return yachtdice_cache[tup] # Returns the feasible score that one can reach with the current state, options and difficulty. -def diceSimulation(state, player, options): - categories, nbDice, nbRolls, fixed_mult, step_mult, expoints = extractProgression(state, player, options) - return diceSimulationStrings(categories, nbDice, nbRolls, fixed_mult, step_mult, +def dice_simulation(state, player, options): + categories, num_dice, num_rolls, fixed_mult, step_mult, expoints = extract_progression(state, player, options) + return dice_simulation_strings(categories, num_dice, num_rolls, fixed_mult, step_mult, options.game_difficulty.value) + expoints # Sets rules on entrances and advancements that are always applied @@ -214,7 +213,7 @@ def set_yacht_rules(world: MultiWorld, player: int, options): lambda state, curscore=l.yacht_dice_score, player=player: - diceSimulation(state, player, options) >= curscore) + dice_simulation(state, player, options) >= curscore) # Sets rules on completion condition def set_yacht_completion_rules(world: MultiWorld, player: int): diff --git a/worlds/yachtdice/YachtWeights.py b/worlds/yachtdice/YachtWeights.py index 625d4715a7..0add2bd8df 100644 --- a/worlds/yachtdice/YachtWeights.py +++ b/worlds/yachtdice/YachtWeights.py @@ -5,4 +5,4 @@ #example: ("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. #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): {1: 59786, 0: 40214}, ("Ones", 1, 6): {1: 66509, 0: 33491}, ("Ones", 1, 7): {1: 72162, 0: 27838}, ("Ones", 1, 8): {0: 23094, 1: 76906}, ("Ones", 2, 0): {0: 100000}, ("Ones", 2, 1): {0: 69715, 1: 27502, 2: 2783}, ("Ones", 2, 2): {0: 48066, 1: 42669, 2: 9265}, ("Ones", 2, 3): {1: 48585, 0: 33544, 2: 17871}, ("Ones", 2, 4): {1: 50092, 2: 26566, 0: 23342}, ("Ones", 2, 5): {1: 48250, 2: 35714, 0: 16036}, ("Ones", 2, 6): {1: 44545, 0: 11355, 2: 44100}, ("Ones", 2, 7): {2: 51940, 0: 7812, 1: 40248}, ("Ones", 2, 8): {1: 35484, 2: 59121, 0: 5395}, ("Ones", 3, 0): {0: 100000}, ("Ones", 3, 1): {0: 57462, 1: 35151, 2: 6907, 3: 480}, ("Ones", 3, 2): {1: 44253, 2: 19531, 3: 2889, 0: 33327}, ("Ones", 3, 3): {1: 42237, 3: 7510, 2: 30821, 0: 19432}, ("Ones", 3, 4): {0: 11191, 1: 36208, 2: 38606, 3: 13995}, ("Ones", 3, 5): {3: 21443, 2: 43130, 1: 28891, 0: 6536}, ("Ones", 3, 6): {2: 44196, 1: 22501, 3: 29606, 0: 3697}, ("Ones", 3, 7): {1: 16717, 2: 43782, 3: 37367, 0: 2134}, ("Ones", 3, 8): {1: 12567, 2: 40951, 3: 45202, 0: 1280}, ("Ones", 4, 0): {0: 100000}, ("Ones", 4, 1): {0: 48178, 1: 38635, 3: 1534, 2: 11592, 4: 61}, ("Ones", 4, 2): {1: 40775, 3: 8051, 0: 23349, 2: 26967, 4: 858}, ("Ones", 4, 3): {1: 32547, 2: 35556, 0: 11366, 3: 17371, 4: 3160}, ("Ones", 4, 4): {2: 37271, 1: 23241, 3: 26943, 4: 7214, 0: 5331}, ("Ones", 4, 5): {2: 34536, 3: 34496, 1: 15336, 4: 12992, 0: 2640}, ("Ones", 4, 6): {2: 29743, 3: 39298, 4: 19633, 1: 10073, 0: 1253}, ("Ones", 4, 7): {2: 24313, 3: 41680, 1: 6304, 4: 27092, 0: 611}, ("Ones", 4, 8): {4: 34460, 3: 42267, 0: 313, 1: 3915, 2: 19045}, ("Ones", 5, 0): {0: 100000}, ("Ones", 5, 1): {1: 40202, 0: 40042, 3: 3249, 2: 16165, 4: 331, 5: 11}, ("Ones", 5, 2): {1: 35432, 3: 13849, 2: 31231, 0: 16212, 4: 3032, 5: 244}, ("Ones", 5, 3): {3: 24952, 2: 34509, 1: 23548, 0: 6556, 4: 9117, 5: 1318}, ("Ones", 5, 4): {3: 32048, 2: 30176, 1: 14157, 4: 17403, 5: 3664, 0: 2552}, ("Ones", 5, 5): {4: 25625, 0: 1079, 3: 34614, 2: 23245, 5: 7733, 1: 7704}, ("Ones", 5, 6): {1: 4104, 5: 13068, 4: 32816, 2: 16702, 3: 32901, 0: 409}, ("Ones", 5, 7): {4: 37869, 3: 28973, 5: 19366, 0: 175, 2: 11497, 1: 2120}, ("Ones", 5, 8): {1: 1094, 5: 26646, 3: 24639, 2: 7382, 4: 40166, 0: 73}, ("Ones", 6, 0): {0: 100000}, ("Ones", 6, 1): {2: 20320, 0: 33501, 1: 40042, 3: 5295, 4: 773, 5: 69}, ("Ones", 6, 2): {1: 29379, 3: 19350, 2: 32368, 5: 1141, 0: 11326, 4: 6344, 6: 92}, ("Ones", 6, 3): {4: 15450, 3: 28928, 5: 4634, 1: 16463, 2: 30197, 0: 3764, 6: 564}, ("Ones", 6, 4): {3: 31038, 4: 25136, 2: 21790, 1: 8093, 0: 1231, 5: 10779, 6: 1933}, ("Ones", 6, 5): {3: 27868, 4: 30878, 5: 18389, 2: 14029, 1: 3790, 6: 4628, 0: 418}, ("Ones", 6, 6): {2: 8389, 4: 33022, 3: 22007, 6: 8599, 5: 26133, 1: 1692, 0: 158}, ("Ones", 6, 7): {5: 32432, 3: 16397, 6: 13966, 4: 31702, 2: 4749, 1: 707, 0: 47}, ("Ones", 6, 8): {6: 20483, 5: 37005, 4: 28116, 3: 11500, 2: 2575, 1: 304, 0: 17}, ("Ones", 7, 0): {0: 100000}, ("Ones", 7, 1): {2: 23331, 0: 27838, 1: 39224, 3: 7827, 4: 1536, 5: 235, 6: 9}, ("Ones", 7, 2): {3: 23224, 2: 31678, 1: 23850, 4: 10350, 5: 2696, 0: 7796, 6: 387, 7: 19}, ("Ones", 7, 3): {6: 2239, 2: 24317, 1: 11142, 3: 29131, 5: 9405, 4: 21297, 0: 2247, 7: 222}, ("Ones", 7, 4): {4: 28065, 5: 17986, 2: 14787, 1: 4647, 3: 26420, 6: 6464, 7: 1026, 0: 605}, ("Ones", 7, 5): {5: 26190, 4: 28867, 6: 12698, 3: 19667, 2: 7907, 1: 1773, 7: 2724, 0: 174}, ("Ones", 7, 6): {4: 25653, 3: 12915, 6: 20371, 5: 30596, 7: 5840, 2: 3905, 1: 669, 0: 51}, ("Ones", 7, 7): {5: 32077, 4: 20364, 6: 27540, 3: 7943, 7: 10044, 2: 1802, 1: 213, 0: 17}, ("Ones", 7, 8): {6: 33357, 4: 15425, 5: 30293, 7: 15406, 3: 4579, 2: 856, 1: 78, 0: 6}, ("Ones", 8, 0): {0: 100000}, ("Ones", 8, 1): {4: 2620, 2: 26136, 0: 23156, 1: 37295, 3: 10332, 5: 417, 6: 39, 7: 4, 8: 1}, ("Ones", 8, 2): {4: 14130, 3: 25847, 0: 5472, 2: 29314, 1: 19058, 5: 5000, 6: 1038, 7: 133, 8: 8}, ("Ones", 8, 3): {1: 7452, 6: 5203, 3: 27032, 5: 14360, 4: 24664, 2: 18864, 7: 1114, 0: 1209, 8: 102}, ("Ones", 8, 4): {4: 27157, 2: 9318, 6: 12536, 3: 20389, 5: 23430, 7: 3804, 1: 2540, 8: 559, 0: 267}, ("Ones", 8, 5): {6: 20582, 3: 12395, 4: 23638, 5: 27792, 1: 817, 7: 8765, 2: 4298, 8: 1655, 0: 58}, ("Ones", 8, 6): {6: 27112, 7: 15535, 5: 27508, 4: 17025, 3: 6901, 8: 3948, 2: 1716, 1: 242, 0: 13}, ("Ones", 8, 7): {5: 23980, 4: 11343, 7: 22673, 6: 30438, 8: 7330, 3: 3508, 2: 643, 1: 82, 0: 3}, ("Ones", 8, 8): {6: 30830, 4: 7029, 7: 29143, 8: 12025, 5: 18895, 3: 1768, 2: 286, 1: 23, 0: 1}, ("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): {2: 59699, 0: 40301}, ("Twos", 1, 6): {2: 66442, 0: 33558}, ("Twos", 1, 7): {2: 71818, 0: 28182}, ("Twos", 1, 8): {0: 23406, 2: 76594}, ("Twos", 2, 0): {0: 100000}, ("Twos", 2, 1): {0: 69724, 2: 27485, 4: 2791}, ("Twos", 2, 2): {0: 48238, 2: 42479, 4: 9283}, ("Twos", 2, 3): {0: 33290, 2: 48819, 4: 17891}, ("Twos", 2, 4): {2: 49957, 4: 26907, 0: 23136}, ("Twos", 2, 5): {4: 35654, 2: 48200, 0: 16146}, ("Twos", 2, 6): {4: 44420, 2: 44497, 0: 11083}, ("Twos", 2, 7): {4: 51995, 2: 40343, 0: 7662}, ("Twos", 2, 8): {4: 59120, 2: 35526, 0: 5354}, ("Twos", 3, 0): {0: 100000}, ("Twos", 3, 1): {2: 34522, 0: 58021, 4: 6995, 6: 462}, ("Twos", 3, 2): {0: 33548, 2: 44261, 4: 19358, 6: 2833}, ("Twos", 3, 3): {2: 42372, 4: 30748, 0: 19375, 6: 7505}, ("Twos", 3, 4): {6: 13998, 4: 38569, 2: 36435, 0: 10998}, ("Twos", 3, 5): {4: 43283, 2: 28838, 6: 21360, 0: 6519}, ("Twos", 3, 6): {6: 29650, 4: 44233, 2: 22498, 0: 3619}, ("Twos", 3, 7): {6: 37142, 2: 16979, 4: 43684, 0: 2195}, ("Twos", 3, 8): {6: 45405, 4: 40920, 2: 12420, 0: 1255}, ("Twos", 4, 0): {0: 100000}, ("Twos", 4, 1): {4: 11628, 0: 48235, 2: 38602, 6: 1463, 8: 72}, ("Twos", 4, 2): {2: 40678, 0: 23289, 6: 8032, 4: 27102, 8: 899}, ("Twos", 4, 3): {6: 17263, 2: 32677, 0: 11177, 4: 35702, 8: 3181}, ("Twos", 4, 4): {6: 26867, 4: 37240, 8: 7169, 2: 23225, 0: 5499}, ("Twos", 4, 5): {4: 34605, 6: 34268, 8: 12771, 2: 15782, 0: 2574}, ("Twos", 4, 6): {8: 19602, 4: 29706, 2: 9910, 6: 39523, 0: 1259}, ("Twos", 4, 7): {2: 6323, 4: 24103, 6: 41894, 8: 27058, 0: 622}, ("Twos", 4, 8): {6: 42309, 4: 18855, 2: 3813, 8: 34745, 0: 278}, ("Twos", 5, 0): {0: 100000}, ("Twos", 5, 1): {0: 40028, 2: 40241, 6: 3383, 4: 16003, 8: 334, 10: 11}, ("Twos", 5, 2): {0: 16009, 6: 13797, 4: 31024, 8: 2985, 2: 35901, 10: 284}, ("Twos", 5, 3): {8: 9087, 2: 23477, 4: 34349, 10: 1328, 6: 25270, 0: 6489}, ("Twos", 5, 4): {4: 30199, 2: 14032, 8: 17149, 10: 3748, 6: 32214, 0: 2658}, ("Twos", 5, 5): {4: 23643, 8: 25853, 10: 7495, 6: 33993, 0: 1032, 2: 7984}, ("Twos", 5, 6): {6: 32774, 2: 4152, 8: 32900, 10: 13183, 0: 450, 4: 16541}, ("Twos", 5, 7): {6: 29481, 8: 37636, 10: 19256, 4: 11231, 2: 2226, 0: 170}, ("Twos", 5, 8): {10: 26467, 8: 40798, 6: 23993, 4: 7571, 2: 1108, 0: 63}, ("Twos", 6, 0): {0: 100000}, ("Twos", 6, 1): {0: 33502, 4: 19717, 2: 40413, 6: 5481, 8: 815, 10: 68, 12: 4}, ("Twos", 6, 2): {2: 29638, 8: 6339, 4: 32701, 0: 11210, 6: 18988, 10: 1046, 12: 78}, ("Twos", 6, 3): {6: 29102, 2: 16459, 8: 15825, 4: 29795, 0: 3673, 10: 4581, 12: 565}, ("Twos", 6, 4): {2: 8048, 8: 25066, 4: 21977, 6: 31053, 10: 10654, 12: 1959, 0: 1243}, ("Twos", 6, 5): {10: 18355, 4: 13949, 6: 28142, 8: 30723, 2: 3753, 12: 4637, 0: 441}, ("Twos", 6, 6): {10: 26213, 6: 22222, 4: 8455, 8: 32692, 12: 8618, 2: 1679, 0: 121}, ("Twos", 6, 7): {10: 32532, 8: 31410, 6: 16142, 12: 14270, 4: 4871, 2: 728, 0: 47}, ("Twos", 6, 8): {12: 20612, 6: 11432, 10: 37237, 8: 27864, 4: 2544, 2: 299, 0: 12}, ("Twos", 7, 0): {0: 100000}, ("Twos", 7, 1): {2: 39060, 0: 27683, 8: 1580, 4: 23574, 6: 7899, 10: 192, 12: 12}, ("Twos", 7, 2): {2: 24031, 6: 23095, 4: 31764, 0: 7824, 8: 10154, 10: 2733, 12: 376, 14: 23}, ("Twos", 7, 3): {2: 11019, 6: 29599, 10: 9338, 8: 21250, 0: 2148, 4: 24197, 12: 2233, 14: 216}, ("Twos", 7, 4): {10: 18080, 6: 26395, 4: 14571, 8: 28409, 2: 4465, 12: 6519, 14: 997, 0: 564}, ("Twos", 7, 5): {8: 29039, 2: 1738, 10: 26129, 6: 19287, 4: 7911, 14: 2798, 12: 12923, 0: 175}, ("Twos", 7, 6): {8: 25752, 10: 30413, 6: 12897, 14: 5951, 12: 20324, 4: 3961, 0: 54, 2: 648}, ("Twos", 7, 7): {12: 27347, 14: 10079, 10: 32054, 6: 8007, 8: 20334, 4: 1926, 2: 240, 0: 13}, ("Twos", 7, 8): {8: 15233, 10: 30248, 14: 15699, 12: 33276, 6: 4602, 4: 861, 2: 76, 0: 5}, ("Twos", 8, 0): {0: 100000}, ("Twos", 8, 1): {0: 23378, 6: 10451, 2: 37157, 4: 26082, 8: 2497, 10: 391, 12: 44}, ("Twos", 8, 2): {8: 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5, 0): {0: 100000}, ("Yacht", 5, 1): {0: 99919, 50: 81}, ("Yacht", 5, 2): {0: 98727, 50: 1273}, ("Yacht", 5, 3): {50: 4653, 0: 95347}, ("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): {50: 29218, 0: 70782}, ("Yacht", 6, 5): {0: 56573, 50: 43427}, ("Yacht", 6, 6): {50: 55794, 0: 44206}, ("Yacht", 6, 7): {50: 66422, 0: 33578}, ("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): {50: 78517, 0: 21483}, ("Yacht", 7, 7): {50: 86403, 0: 13597}, ("Yacht", 7, 8): {50: 91517, 0: 8483}, ("Yacht", 8, 0): {0: 100000}, ("Yacht", 8, 1): {0: 97212, 50: 2788}, ("Yacht", 8, 2): {50: 23038, 0: 76962}, ("Yacht", 8, 3): {0: 50533, 50: 49467}, ("Yacht", 8, 4): {50: 70019, 0: 29981}, ("Yacht", 8, 5): {50: 83224, 0: 16776}, ("Yacht", 8, 6): {50: 90921, 0: 9079}, ("Yacht", 8, 7): {50: 95295, 0: 4705}, ("Yacht", 8, 8): {50: 97637, 0: 2363}, ('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): {2: 83196, 1: 16804}, ('Distincts', 2, 2): {2: 97314, 1: 2686}, ('Distincts', 2, 3): {2: 99537, 1: 463}, ('Distincts', 2, 4): {2: 99934, 1: 66}, ('Distincts', 2, 5): {2: 99989, 1: 11}, ('Distincts', 2, 6): {2: 99999, 1: 1}, ('Distincts', 2, 7): {2: 100000}, ('Distincts', 2, 8): {2: 100000}, ('Distincts', 3, 1): {2: 41714, 3: 55526, 1: 2760}, ('Distincts', 3, 2): {2: 14936, 3: 84986, 1: 78}, ('Distincts', 3, 3): {3: 95134, 2: 4865, 1: 1}, ('Distincts', 3, 4): {3: 98341, 2: 1659}, ('Distincts', 3, 5): {3: 99425, 2: 575}, ('Distincts', 3, 6): {3: 99800, 2: 200}, ('Distincts', 3, 7): {3: 99931, 2: 69}, ('Distincts', 3, 8): {3: 99978, 2: 22}, ('Distincts', 4, 1): {3: 55471, 2: 16140, 4: 27895, 1: 494}, ('Distincts', 4, 2): {3: 36922, 4: 61185, 2: 1891, 1: 2}, ('Distincts', 4, 3): {4: 80139, 3: 19631, 2: 230}, ('Distincts', 4, 4): {4: 90121, 3: 9858, 2: 21}, ('Distincts', 4, 5): {4: 95094, 3: 4904, 2: 2}, ('Distincts', 4, 6): {4: 97506, 3: 2494}, ('Distincts', 4, 7): {4: 98703, 3: 1297}, ('Distincts', 4, 8): {4: 99389, 3: 611}, ('Distincts', 5, 1): {4: 46379, 5: 9285, 3: 38538, 2: 5717, 1: 81}, ('Distincts', 5, 2): {4: 56472, 5: 31685, 3: 11647, 2: 196}, ('Distincts', 5, 3): {4: 44724, 5: 52254, 3: 3016, 2: 6}, ('Distincts', 5, 4): {4: 31632, 5: 67646, 3: 722}, ('Distincts', 5, 5): {5: 78394, 4: 21391, 3: 215}, ('Distincts', 5, 6): {5: 85475, 4: 14470, 3: 55}, ('Distincts', 5, 7): {5: 90340, 4: 9645, 3: 15}, ('Distincts', 5, 8): {5: 93537, 4: 6461, 3: 2}, ('Distincts', 6, 1): {3: 22985, 5: 23032, 4: 50464, 2: 2019, 6: 1492, 1: 8}, ('Distincts', 6, 2): {5: 52573, 4: 35174, 6: 8954, 3: 3273, 2: 26}, ('Distincts', 6, 3): {4: 17376, 5: 62578, 6: 19629, 3: 417}, ('Distincts', 6, 4): {5: 61029, 6: 31140, 4: 7787, 3: 44}, ('Distincts', 6, 5): {6: 41304, 5: 54997, 4: 3690, 3: 9}, ('Distincts', 6, 6): {5: 47225, 6: 51218, 4: 1557}, ('Distincts', 6, 7): {6: 58807, 5: 40465, 4: 728}, ('Distincts', 6, 8): {6: 65828, 5: 33851, 4: 321}, ('Distincts', 7, 1): {4: 44964, 5: 36020, 3: 13006, 6: 5345, 2: 661, 1: 4}, ('Distincts', 7, 2): {5: 56731, 6: 23583, 4: 18847, 3: 838, 2: 1}, ('Distincts', 7, 3): {5: 50312, 6: 43637, 4: 5983, 3: 68}, ('Distincts', 7, 4): {6: 59811, 5: 38393, 4: 1792, 3: 4}, ('Distincts', 7, 5): {5: 27728, 6: 71743, 4: 529}, ('Distincts', 7, 6): {6: 80419, 5: 19417, 4: 164}, ('Distincts', 7, 7): {6: 86382, 5: 13565, 4: 53}, ('Distincts', 7, 8): {6: 90455, 5: 9531, 4: 14}, ('Distincts', 8, 1): {5: 44977, 4: 36582, 6: 11304, 3: 6939, 2: 197, 1: 1}, ('Distincts', 8, 2): {6: 39803, 5: 50783, 4: 9181, 3: 231, 2: 2}, ('Distincts', 8, 3): {6: 63276, 5: 34748, 4: 1967, 3: 9}, ('Distincts', 8, 4): {6: 78603, 5: 21008, 4: 389}, ('Distincts', 8, 5): {6: 87408, 5: 12514, 4: 78}, ('Distincts', 8, 6): {6: 92823, 5: 7159, 4: 18}, ('Distincts', 8, 7): {6: 95821, 5: 4175, 4: 4}, ('Distincts', 8, 8): {6: 97560, 5: 2440}, ('TwosAndThrees', 1, 1): {0: 66466, 2: 16929, 3: 16605}, ('TwosAndThrees', 1, 2): {0: 55640, 2: 13812, 3: 30548}, ('TwosAndThrees', 1, 3): {3: 42178, 0: 46223, 2: 11599}, ('TwosAndThrees', 1, 4): {3: 51830, 0: 38552, 2: 9618}, ('TwosAndThrees', 1, 5): {0: 32320, 3: 59706, 2: 7974}, ('TwosAndThrees', 1, 6): {0: 26733, 3: 66583, 2: 6684}, ('TwosAndThrees', 1, 7): {3: 72148, 0: 22289, 2: 5563}, ('TwosAndThrees', 1, 8): {3: 76636, 0: 18676, 2: 4688}, ('TwosAndThrees', 2, 1): {3: 22335, 2: 21965, 0: 44565, 4: 2837, 5: 5615, 6: 2683}, ('TwosAndThrees', 2, 2): {3: 33956, 0: 30855, 6: 9438, 2: 15480, 5: 8278, 4: 1993}, ('TwosAndThrees', 2, 3): {0: 21509, 3: 38995, 6: 17586, 2: 10838, 5: 9727, 4: 1345}, ('TwosAndThrees', 2, 4): {6: 26659, 3: 40188, 5: 9825, 2: 7489, 0: 14935, 4: 904}, ('TwosAndThrees', 2, 5): {3: 38402, 6: 35581, 2: 5169, 5: 9671, 0: 10492, 4: 685}, ('TwosAndThrees', 2, 6): {3: 35460, 6: 44295, 5: 8994, 0: 7185, 2: 3590, 4: 476}, ('TwosAndThrees', 2, 7): {6: 52017, 3: 32147, 0: 4880, 5: 8139, 2: 2495, 4: 322}, ('TwosAndThrees', 2, 8): {3: 28213, 5: 7294, 6: 59058, 0: 3464, 4: 223, 2: 1748}, ('TwosAndThrees', 3, 1): {3: 22284, 0: 29892, 6: 6003, 4: 5497, 5: 11005, 2: 22136, 8: 1368, 7: 1366, 9: 449}, ('TwosAndThrees', 3, 2): {5: 14092, 2: 12757, 3: 28287, 6: 15822, 0: 17285, 7: 1730, 4: 3213, 9: 2873, 8: 3941}, ('TwosAndThrees', 3, 3): {6: 24863, 3: 27111, 9: 7340, 5: 13522, 8: 6154, 0: 9889, 4: 1847, 2: 7547, 7: 1727}, ('TwosAndThrees', 3, 4): {9: 13765, 6: 31427, 5: 11617, 3: 23072, 8: 7719, 0: 5717, 4: 1000, 2: 4245, 7: 1438}, ('TwosAndThrees', 3, 5): {5: 9296, 6: 34570, 0: 3347, 3: 18506, 4: 617, 9: 21395, 2: 2448, 8: 8683, 7: 1138}, ('TwosAndThrees', 3, 6): {8: 8820, 3: 14399, 6: 35444, 5: 7148, 9: 29632, 0: 1821, 2: 1452, 7: 943, 4: 341}, ('TwosAndThrees', 3, 7): {9: 37501, 3: 10672, 8: 8739, 6: 34879, 5: 5345, 7: 725, 2: 835, 4: 222, 0: 1082}, ('TwosAndThrees', 3, 8): {6: 33047, 9: 45099, 3: 8099, 8: 8018, 5: 4003, 0: 667, 2: 457, 7: 490, 4: 120}, ('TwosAndThrees', 4, 1): {3: 19811, 9: 1565, 2: 19764, 0: 19619, 6: 8721, 5: 14893, 4: 7306, 8: 3801, 11: 319, 7: 3672, 12: 60, 10: 469}, ('TwosAndThrees', 4, 2): {2: 9519, 9: 6678, 5: 15873, 6: 18083, 7: 3876, 8: 8667, 3: 20826, 0: 9395, 4: 3581, 12: 830, 10: 1077, 11: 1595}, ('TwosAndThrees', 4, 3): {12: 3245, 3: 16598, 8: 11445, 5: 12541, 2: 4676, 6: 23294, 0: 4538, 11: 3442, 4: 1694, 10: 1454, 9: 14017, 7: 3056}, ('TwosAndThrees', 4, 4): {8: 11841, 12: 7183, 6: 24218, 3: 11827, 9: 21496, 11: 5412, 10: 1447, 4: 827, 7: 2251, 5: 9096, 0: 2183, 2: 2219}, ('TwosAndThrees', 4, 5): {5: 6024, 9: 27693, 8: 11169, 12: 12776, 3: 7946, 10: 1428, 6: 22064, 2: 1078, 11: 6926, 0: 987, 4: 381, 7: 1528}, ('TwosAndThrees', 4, 6): {9: 31606, 5: 3815, 8: 9649, 11: 7894, 3: 5070, 12: 19495, 6: 19042, 10: 1243, 2: 514, 7: 971, 0: 530, 4: 171}, ('TwosAndThrees', 4, 7): {6: 15556, 3: 3337, 9: 33379, 12: 26771, 5: 2427, 11: 8601, 2: 239, 8: 7881, 10: 918, 0: 224, 7: 584, 4: 83}, ('TwosAndThrees', 4, 8): {11: 8379, 6: 12179, 8: 6079, 9: 33703, 2: 130, 12: 34875, 3: 1931, 5: 1468, 10: 738, 7: 353, 0: 123, 4: 42}, ('TwosAndThrees', 5, 1): {8: 6572, 5: 16396, 6: 10247, 4: 8172, 3: 16607, 2: 16414, 7: 6170, 0: 13070, 9: 3061, 10: 1591, 11: 1136, 12: 374, 13: 124, 14: 55, 15: 11}, ('TwosAndThrees', 5, 2): {6: 16838, 8: 12090, 5: 14763, 7: 5565, 2: 6515, 3: 14466, 10: 3040, 0: 5213, 9: 9616, 12: 2659, 4: 3294, 11: 4470, 14: 636, 13: 578, 15: 257}, ('TwosAndThrees', 5, 3): {5: 9700, 3: 9638, 6: 17947, 11: 8066, 9: 16835, 8: 13214, 13: 1039, 7: 3741, 0: 2126, 12: 7402, 4: 1321, 2: 2581, 15: 1332, 14: 1842, 10: 3216}, ('TwosAndThrees', 5, 4): {6: 15410, 9: 20661, 15: 3811, 5: 5781, 14: 3435, 10: 3042, 11: 10468, 8: 11579, 7: 2157, 3: 5807, 12: 14158, 0: 848, 13: 1264, 2: 1086, 4: 493}, ('TwosAndThrees', 5, 5): {12: 20783, 14: 5166, 6: 12042, 9: 22225, 8: 8829, 11: 11126, 3: 3222, 7: 1226, 10: 2220, 15: 7632, 5: 3184, 13: 1346, 2: 401, 0: 380, 4: 218}, ('TwosAndThrees', 5, 6): {15: 13013, 14: 6551, 12: 26214, 9: 21305, 11: 10593, 10: 1597, 8: 6610, 6: 8412, 5: 1670, 13: 1307, 3: 1698, 7: 653, 0: 123, 2: 172, 4: 82}, ('TwosAndThrees', 5, 7): {14: 7512, 11: 9332, 9: 18653, 6: 5940, 8: 4428, 15: 19396, 12: 30190, 13: 1142, 10: 1106, 3: 896, 7: 332, 5: 908, 4: 41, 0: 59, 2: 65}, ('TwosAndThrees', 5, 8): {6: 3768, 9: 15520, 14: 7963, 15: 26880, 12: 32501, 11: 7771, 8: 2819, 10: 666, 13: 973, 5: 459, 2: 30, 3: 470, 7: 153, 0: 13, 4: 14}, ('TwosAndThrees', 6, 1): {3: 13212, 2: 13135, 10: 3108, 0: 8955, 4: 8191, 8: 8621, 5: 16659, 6: 10713, 9: 4879, 7: 8276, 13: 496, 11: 2290, 14: 282, 17: 18, 12: 1026, 15: 100, 16: 37, 18: 2}, ('TwosAndThrees', 6, 2): {13: 1940, 9: 11416, 2: 4382, 11: 7676, 10: 5032, 6: 14157, 5: 11978, 8: 13344, 12: 4905, 3: 9661, 14: 2123, 15: 1026, 7: 6021, 0: 2944, 4: 2851, 16: 247, 17: 202, 18: 95}, ('TwosAndThrees', 6, 3): {9: 15493, 11: 11208, 2: 1507, 13: 2828, 15: 3924, 10: 4567, 6: 12595, 14: 5229, 5: 6758, 8: 12211, 12: 10862, 3: 5429, 7: 3404, 17: 912, 4: 933, 18: 529, 0: 977, 16: 634}, ('TwosAndThrees', 6, 4): {8: 9036, 15: 8762, 11: 12021, 10: 3287, 12: 16325, 9: 16299, 14: 8216, 18: 1928, 17: 2081, 6: 9147, 7: 1667, 4: 294, 2: 545, 16: 1007, 5: 3351, 3: 2723, 13: 2991, 0: 320}, ('TwosAndThrees', 6, 5): {15: 15030, 9: 14359, 13: 2648, 10: 2136, 12: 20394, 8: 5744, 6: 5681, 14: 10049, 11: 10563, 18: 4564, 17: 3669, 5: 1525, 3: 1189, 16: 1251, 2: 184, 7: 777, 4: 123, 0: 114}, ('TwosAndThrees', 6, 6): {11: 8492, 15: 21066, 12: 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22224, 10: 15919, 0: 7666, 4: 4273, 2: 812}, ('SumOfOdds', 2, 4): {3: 8914, 6: 11358, 5: 23132, 4: 2928, 10: 24940, 0: 5392, 1: 3585, 8: 19129, 2: 622}, ('SumOfOdds', 2, 5): {5: 22529, 0: 3735, 3: 6203, 4: 2093, 10: 33791, 8: 18712, 2: 415, 6: 10020, 1: 2502}, ('SumOfOdds', 2, 6): {0: 2606, 8: 17272, 6: 8852, 10: 42502, 3: 4279, 5: 20970, 1: 1769, 4: 1468, 2: 282}, ('SumOfOdds', 2, 7): {5: 19160, 8: 15860, 6: 7664, 10: 50054, 1: 1225, 3: 2939, 4: 1039, 0: 1872, 2: 187}, ('SumOfOdds', 2, 8): {5: 16853, 8: 14179, 10: 57618, 3: 2121, 6: 6400, 1: 781, 0: 1230, 4: 671, 2: 147}, ('SumOfOdds', 3, 1): {4: 8109, 5: 13902, 2: 4149, 8: 8321, 6: 12607, 1: 12587, 7: 2743, 3: 12861, 0: 12467, 9: 3339, 10: 4223, 11: 2801, 15: 479, 13: 1412}, ('SumOfOdds', 3, 2): {8: 15592, 1: 3633, 5: 10240, 13: 6362, 3: 9469, 10: 7709, 15: 2120, 6: 13852, 11: 9070, 9: 7284, 4: 6110, 7: 3557, 0: 3750, 2: 1252}, ('SumOfOdds', 3, 3): {6: 10744, 10: 13273, 7: 2564, 8: 15277, 3: 5427, 13: 11044, 11: 10759, 5: 9729, 15: 6204, 1: 2180, 9: 6354, 4: 3603, 0: 2140, 2: 702}, ('SumOfOdds', 3, 4): {8: 13319, 6: 7837, 11: 11288, 9: 5211, 13: 14216, 15: 12408, 4: 2122, 3: 3247, 10: 17343, 7: 1738, 5: 8380, 1: 1212, 0: 1265, 2: 414}, ('SumOfOdds', 3, 5): {11: 10985, 10: 19378, 13: 16370, 5: 6682, 6: 5931, 8: 10857, 9: 4058, 15: 19804, 7: 1250, 1: 660, 3: 1831, 2: 246, 4: 1236, 0: 712}, ('SumOfOdds', 3, 6): {15: 27548, 5: 5144, 13: 17133, 10: 20496, 8: 8411, 11: 10472, 6: 4205, 9: 2961, 1: 398, 2: 146, 3: 1070, 4: 746, 7: 864, 0: 406}, ('SumOfOdds', 3, 7): {8: 6397, 15: 35967, 10: 20125, 9: 2262, 5: 3882, 0: 233, 4: 399, 11: 9495, 13: 16763, 6: 3021, 7: 607, 1: 235, 3: 539, 2: 75}, ('SumOfOdds', 3, 8): {15: 43436, 6: 2174, 10: 19242, 13: 16221, 11: 8430, 8: 4737, 9: 1594, 5: 2863, 3: 352, 7: 406, 1: 130, 0: 146, 4: 214, 2: 55}, ('SumOfOdds', 4, 1): {11: 5334, 12: 1465, 5: 11215, 14: 1216, 3: 9225, 6: 12932, 1: 8440, 7: 5618, 4: 8433, 10: 5290, 0: 6192, 8: 9117, 16: 760, 9: 6474, 2: 4238, 13: 2744, 15: 930, 18: 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8533, 5: 1584, 16: 10471, 14: 8325, 18: 8174, 6: 2861, 21: 4463, 12: 4910, 3: 715, 19: 4741, 25: 1017, 20: 3505, 17: 3498, 4: 938, 1: 292, 2: 179, 0: 173}, ('SumOfOdds', 5, 4): {15: 8218, 10: 4157, 11: 6088, 21: 7049, 6: 1464, 18: 10977, 9: 2814, 12: 3036, 17: 3222, 23: 5968, 16: 10748, 13: 8276, 19: 5463, 20: 7264, 14: 6799, 3: 322, 8: 2685, 7: 929, 25: 3023, 5: 899, 4: 353, 0: 60, 2: 65, 1: 121}, ('SumOfOdds', 5, 5): {23: 9242, 21: 8982, 18: 12099, 16: 9890, 13: 6376, 14: 5000, 7: 416, 15: 8283, 25: 6730, 10: 2969, 20: 11138, 19: 5449, 11: 4198, 17: 2686, 8: 1446, 6: 749, 9: 1508, 12: 1961, 5: 490, 4: 169, 3: 124, 2: 23, 1: 40, 0: 32}, ('SumOfOdds', 5, 6): {16: 8471, 14: 3473, 15: 7862, 20: 14372, 18: 11813, 23: 11945, 13: 4540, 25: 11854, 17: 2176, 21: 9884, 19: 5053, 7: 214, 11: 2724, 10: 2039, 12: 1252, 5: 265, 8: 764, 9: 796, 6: 351, 3: 52, 0: 14, 4: 51, 2: 10, 1: 25}, ('SumOfOdds', 5, 7): {21: 10043, 15: 6797, 18: 10646, 20: 17146, 16: 6743, 23: 14100, 25: 18070, 14: 2413, 13: 3129, 17: 1582, 11: 1707, 19: 4232, 10: 1317, 12: 758, 8: 419, 9: 393, 7: 117, 6: 212, 0: 4, 5: 121, 3: 14, 4: 29, 1: 5, 2: 3}, ('SumOfOdds', 5, 8): {19: 3530, 25: 25173, 16: 5196, 14: 1481, 23: 15254, 20: 18491, 21: 9907, 18: 8924, 15: 5707, 11: 1045, 17: 1194, 13: 2121, 9: 226, 12: 432, 10: 885, 8: 209, 6: 87, 5: 73, 3: 11, 7: 43, 2: 2, 4: 7, 0: 2}, ('SumOfOdds', 6, 1): {3: 4224, 8: 8145, 5: 6613, 7: 7139, 11: 8130, 4: 5575, 1: 3156, 12: 5541, 14: 4722, 18: 1450, 15: 3188, 6: 9118, 9: 8689, 10: 7075, 16: 3201, 19: 1145, 13: 5215, 2: 2581, 0: 1673, 17: 1683, 21: 583, 20: 581, 22: 197, 24: 99, 23: 176, 25: 45, 26: 37, 28: 18, 30: 1}, ('SumOfOdds', 6, 2): {21: 3933, 14: 9068, 15: 6211, 16: 8370, 17: 6093, 23: 1654, 6: 2896, 20: 2831, 18: 5227, 19: 5836, 13: 7405, 10: 4912, 12: 6840, 9: 5601, 3: 789, 7: 2738, 11: 7613, 8: 4025, 4: 1143, 24: 1487, 26: 784, 5: 1464, 2: 207, 22: 1829, 25: 309, 28: 284, 0: 153, 30: 44, 1: 254}, ('SumOfOdds', 6, 3): {14: 7165, 16: 8872, 12: 4062, 19: 7784, 9: 2863, 18: 7891, 17: 5775, 10: 3056, 26: 2610, 20: 4889, 21: 7711, 15: 6056, 11: 4913, 28: 1319, 13: 6032, 22: 2922, 23: 4730, 8: 2096, 6: 1241, 25: 1697, 5: 678, 24: 3166, 7: 1136, 4: 431, 2: 81, 3: 276, 30: 408, 0: 52, 1: 88}, ('SumOfOdds', 6, 4): {20: 6653, 15: 5033, 26: 4922, 28: 3412, 18: 8483, 13: 4254, 23: 8187, 16: 7827, 12: 2170, 21: 9709, 19: 7579, 14: 4910, 7: 425, 17: 4469, 9: 1345, 24: 4611, 25: 4315, 22: 3138, 11: 2995, 10: 1844, 8: 1069, 30: 1562, 6: 531, 4: 139, 3: 73, 5: 291, 1: 25, 0: 14, 2: 15}, ('SumOfOdds', 6, 5): {11: 1732, 24: 5058, 10: 938, 19: 6276, 14: 2902, 23: 10694, 30: 3884, 28: 6388, 26: 7087, 25: 7754, 8: 448, 22: 2967, 16: 5943, 15: 4038, 21: 10212, 20: 7845, 18: 7634, 17: 3138, 12: 1215, 13: 2669, 4: 46, 9: 598, 5: 100, 6: 204, 3: 28, 7: 171, 0: 13, 2: 9, 1: 9}, ('SumOfOdds', 6, 6): {18: 6055, 28: 9447, 25: 11411, 16: 4061, 14: 1658, 30: 7796, 23: 11565, 21: 9505, 4: 19, 19: 4880, 24: 5317, 26: 8543, 20: 7981, 15: 2949, 17: 1975, 13: 1594, 11: 893, 22: 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1}, ('SumOfEvens', 1, 1): {4: 16854, 0: 49585, 6: 16828, 2: 16733}, ('SumOfEvens', 1, 2): {0: 33244, 6: 27644, 4: 28025, 2: 11087}, ('SumOfEvens', 1, 3): {6: 35384, 4: 35040, 0: 22259, 2: 7317}, ('SumOfEvens', 1, 4): {6: 45838, 4: 29418, 0: 18511, 2: 6233}, ('SumOfEvens', 1, 5): {4: 24510, 6: 54916, 2: 5146, 0: 15428}, ('SumOfEvens', 1, 6): {6: 62703, 4: 20115, 2: 4255, 0: 12927}, ('SumOfEvens', 1, 7): {0: 10650, 6: 68761, 4: 17087, 2: 3502}, ('SumOfEvens', 1, 8): {0: 8911, 6: 73853, 4: 14227, 2: 3009}, ('SumOfEvens', 2, 1): {4: 19538, 0: 25229, 10: 5607, 2: 16545, 6: 21987, 8: 8263, 12: 2831}, ('SumOfEvens', 2, 2): {6: 24451, 10: 15400, 4: 19661, 8: 13966, 12: 7840, 0: 11179, 2: 7503}, ('SumOfEvens', 2, 3): {10: 24736, 8: 17887, 12: 12277, 6: 20647, 4: 16354, 0: 4850, 2: 3249}, ('SumOfEvens', 2, 4): {10: 26976, 6: 20711, 4: 11219, 12: 21117, 0: 3419, 8: 14290, 2: 2268}, ('SumOfEvens', 2, 5): {8: 11641, 6: 19247, 4: 7910, 12: 30369, 10: 26842, 0: 2376, 2: 1615}, ('SumOfEvens', 2, 6): 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('SumOfEvens', 3, 7): {18: 32287, 16: 24254, 12: 18146, 10: 8145, 8: 2534, 6: 2787, 14: 10985, 4: 613, 0: 126, 2: 123}, ('SumOfEvens', 3, 8): {12: 16926, 10: 5777, 18: 40557, 14: 9402, 16: 23114, 8: 1718, 6: 2012, 0: 68, 4: 356, 2: 70}, ('SumOfEvens', 4, 1): {8: 15427, 4: 12405, 14: 6828, 0: 6214, 10: 14158, 12: 11354, 16: 4295, 6: 17434, 2: 8516, 18: 2141, 20: 798, 22: 338, 24: 92}, ('SumOfEvens', 4, 2): {12: 15715, 14: 14104, 10: 15154, 18: 8084, 8: 10702, 16: 12485, 2: 1632, 0: 1236, 22: 2382, 20: 4536, 4: 4894, 6: 8468, 24: 608}, ('SumOfEvens', 4, 3): {14: 16224, 16: 17484, 20: 10518, 22: 6099, 18: 13847, 8: 5715, 2: 312, 10: 10269, 4: 1646, 24: 1611, 12: 12879, 6: 3135, 0: 261}, ('SumOfEvens', 4, 4): {14: 12763, 16: 17947, 20: 13338, 4: 842, 22: 11215, 18: 16566, 12: 10298, 8: 3179, 10: 7096, 24: 4534, 6: 1945, 2: 159, 0: 118}, ('SumOfEvens', 4, 5): {24: 9273, 16: 16546, 10: 4716, 22: 16111, 20: 14172, 18: 18045, 14: 9638, 12: 8022, 6: 1181, 4: 395, 8: 1765, 0: 56, 2: 80}, ('SumOfEvens', 4, 6): {6: 734, 22: 20013, 18: 18805, 14: 7068, 20: 13848, 24: 15118, 16: 14021, 12: 6097, 10: 3003, 8: 1036, 4: 192, 0: 31, 2: 34}, ('SumOfEvens', 4, 7): {22: 21947, 16: 11590, 20: 12601, 24: 22395, 18: 18952, 12: 4654, 6: 400, 14: 4930, 10: 1826, 8: 583, 2: 26, 4: 80, 0: 16}, ('SumOfEvens', 4, 8): {22: 23056, 18: 18203, 14: 3386, 20: 11505, 24: 29714, 16: 8943, 12: 3395, 10: 1156, 8: 314, 6: 243, 4: 63, 2: 15, 0: 7}, ('SumOfEvens', 5, 1): {16: 7574, 10: 14656, 4: 8648, 12: 13468, 2: 5181, 18: 4873, 14: 10245, 0: 3192, 24: 605, 6: 13373, 20: 2581, 8: 13964, 26: 198, 28: 69, 22: 1363, 30: 10}, ('SumOfEvens', 5, 2): {16: 14674, 20: 9742, 12: 12184, 14: 13824, 18: 12124, 10: 9910, 6: 4054, 24: 4025, 22: 6877, 26: 2056, 8: 6336, 0: 405, 28: 808, 4: 2149, 2: 663, 30: 169}, ('SumOfEvens', 5, 3): {20: 15282, 10: 4446, 24: 9361, 16: 13128, 26: 5826, 12: 6558, 14: 10339, 8: 2217, 18: 14686, 22: 13294, 30: 532, 6: 1037, 28: 2644, 4: 501, 2: 88, 0: 61}, ('SumOfEvens', 5, 4): {24: 12896, 28: 6646, 18: 12724, 20: 14710, 16: 10437, 22: 16005, 26: 9761, 12: 4093, 14: 6555, 10: 2340, 4: 222, 30: 2105, 0: 18, 6: 471, 8: 992, 2: 25}, ('SumOfEvens', 5, 5): {24: 15490, 18: 10297, 16: 7635, 22: 16826, 28: 11323, 20: 12344, 26: 12235, 14: 4006, 30: 5102, 8: 464, 6: 259, 10: 1369, 12: 2559, 2: 12, 0: 7, 4: 72}, ('SumOfEvens', 5, 6): {24: 17286, 28: 15274, 16: 5274, 30: 9604, 18: 8224, 26: 13565, 22: 16041, 14: 2381, 20: 9688, 10: 671, 12: 1618, 8: 212, 6: 124, 4: 29, 2: 5, 0: 4}, ('SumOfEvens', 5, 7): {26: 13349, 20: 7478, 22: 13863, 16: 3465, 30: 15365, 24: 18114, 28: 19048, 18: 6367, 14: 1478, 6: 52, 12: 973, 8: 102, 10: 330, 4: 12, 0: 3, 2: 1}, ('SumOfEvens', 5, 8): {28: 21211, 30: 22142, 26: 12500, 24: 18376, 22: 11699, 20: 5406, 18: 4912, 14: 771, 16: 2197, 12: 537, 10: 172, 6: 22, 8: 45, 4: 9, 0: 1}, ('SumOfEvens', 6, 1): {12: 13855, 8: 11527, 6: 9535, 14: 12217, 10: 13220, 18: 7641, 20: 5155, 4: 5715, 16: 10036, 2: 3110, 22: 3134, 24: 1769, 0: 1657, 26: 882, 28: 364, 32: 46, 30: 125, 34: 9, 36: 3}, ('SumOfEvens', 6, 2): {16: 12112, 14: 10495, 18: 12962, 20: 12458, 22: 10842, 4: 936, 30: 1777, 12: 8107, 10: 5781, 24: 8362, 28: 3560, 26: 5714, 8: 3286, 34: 279, 6: 1999, 0: 149, 32: 841, 2: 295, 36: 45}, ('SumOfEvens', 6, 3): {34: 1114, 26: 11930, 28: 8967, 16: 7714, 18: 10098, 22: 13809, 24: 13594, 20: 12628, 10: 1732, 12: 3009, 30: 5778, 32: 3126, 14: 5066, 8: 774, 6: 309, 36: 205, 4: 127, 2: 12, 0: 8}, ('SumOfEvens', 6, 4): {16: 4678, 26: 13991, 20: 9551, 24: 13471, 18: 6764, 32: 6534, 4: 36, 34: 3599, 28: 12906, 22: 12530, 30: 9662, 10: 774, 14: 2613, 12: 1479, 36: 987, 2: 13, 8: 287, 6: 122, 0: 3}, ('SumOfEvens', 6, 5): {32: 9788, 24: 11810, 34: 7399, 30: 12927, 26: 13874, 28: 15232, 16: 2702, 18: 4392, 20: 6604, 22: 9916, 36: 2699, 14: 1416, 12: 740, 10: 322, 6: 51, 8: 108, 4: 15, 0: 2, 2: 3}, ('SumOfEvens', 6, 6): {26: 11838, 22: 7418, 30: 15534, 34: 11679, 36: 5973, 24: 9870, 28: 15982, 20: 4214, 32: 12014, 18: 2686, 12: 322, 10: 156, 8: 52, 14: 664, 16: 1568, 6: 26, 4: 2, 2: 1, 0: 1}, ('SumOfEvens', 6, 7): {30: 17083, 28: 15301, 22: 5154, 26: 9426, 32: 13001, 20: 2576, 34: 15604, 24: 8221, 36: 10524, 18: 1673, 16: 848, 14: 336, 12: 179, 10: 53, 6: 9, 8: 11, 4: 1}, ('SumOfEvens', 6, 8): {22: 3449, 36: 16329, 26: 7209, 32: 12842, 30: 18101, 34: 18840, 28: 13662, 20: 1500, 24: 6361, 18: 984, 16: 453, 14: 154, 12: 87, 10: 22, 8: 4, 4: 1, 6: 2}, ('SumOfEvens', 7, 1): {8: 8939, 24: 3564, 16: 11578, 12: 12690, 10: 11183, 18: 9725, 4: 3653, 6: 6451, 20: 7614, 14: 12463, 30: 591, 22: 5306, 28: 1178, 26: 2087, 32: 276, 0: 780, 2: 1804, 34: 79, 38: 9, 36: 28, 42: 1, 40: 1}, ('SumOfEvens', 7, 2): {20: 11747, 22: 12101, 18: 10694, 30: 4969, 34: 1637, 12: 4933, 28: 7140, 10: 3020, 16: 9103, 14: 7121, 26: 9407, 40: 95, 32: 2990, 24: 10947, 8: 1631, 6: 866, 36: 742, 38: 279, 4: 405, 2: 118, 0: 44, 42: 11}, ('SumOfEvens', 7, 3): {28: 12644, 18: 5753, 22: 10305, 30: 10884, 24: 12043, 34: 5494, 26: 13153, 32: 8457, 20: 8013, 36: 3227, 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16970, 30: 7669, 38: 12599, 32: 9076, 42: 12085, 34: 14812, 24: 1645, 28: 5058, 22: 824, 20: 339, 18: 204, 14: 24, 16: 77, 12: 18, 10: 4}, ('SumOfEvens', 8, 1): {24: 5501, 14: 11696, 26: 3771, 28: 2435, 16: 11862, 18: 11145, 10: 8598, 32: 813, 6: 4344, 0: 373, 12: 10648, 2: 1020, 22: 7414, 20: 9463, 8: 6532, 30: 1376, 4: 2316, 38: 73, 34: 408, 36: 180, 40: 24, 42: 4, 44: 3, 46: 1}, ('SumOfEvens', 8, 2): {38: 1519, 26: 10879, 16: 6135, 20: 9772, 30: 8043, 32: 6058, 28: 9711, 18: 7865, 24: 11148, 34: 4215, 22: 10922, 10: 1536, 14: 4098, 36: 2718, 12: 2761, 8: 772, 6: 386, 42: 342, 40: 769, 4: 141, 2: 45, 44: 107, 46: 37, 0: 17, 48: 4}, ('SumOfEvens', 8, 3): {30: 12249, 28: 11561, 24: 8306, 36: 7860, 16: 1616, 40: 3315, 22: 6221, 38: 5627, 34: 10070, 18: 2630, 32: 11747, 20: 4428, 26: 10158, 42: 1741, 14: 874, 44: 669, 12: 430, 46: 173, 10: 187, 8: 65, 4: 5, 6: 39, 48: 28, 2: 1}, ('SumOfEvens', 8, 4): {40: 7009, 34: 12243, 28: 9047, 32: 12344, 38: 9623, 30: 10811, 16: 621, 42: 4569, 26: 6864, 44: 2425, 18: 1160, 36: 11307, 22: 3304, 48: 216, 24: 4882, 10: 59, 46: 1035, 20: 1982, 14: 294, 6: 8, 12: 167, 8: 26, 2: 2, 4: 1, 0: 1}, ('SumOfEvens', 8, 5): {40: 10958, 36: 12458, 30: 8178, 34: 12180, 38: 12260, 24: 2712, 42: 7933, 28: 6229, 32: 10485, 14: 108, 22: 1654, 46: 2920, 26: 4229, 20: 918, 44: 5192, 48: 814, 16: 222, 18: 467, 8: 11, 6: 3, 4: 1, 10: 17, 12: 51}, ('SumOfEvens', 8, 6): {36: 12064, 48: 2382, 26: 2376, 24: 1455, 44: 8361, 28: 3916, 40: 13920, 42: 11359, 38: 12862, 32: 7846, 46: 5912, 30: 5727, 34: 10367, 18: 208, 16: 78, 22: 753, 20: 361, 14: 30, 10: 6, 12: 15, 6: 1, 8: 1}, ('SumOfEvens', 8, 7): {34: 8619, 42: 13899, 32: 5303, 36: 10651, 30: 3778, 46: 10004, 28: 2390, 38: 12089, 40: 14999, 44: 10574, 48: 5042, 8: 3, 26: 1228, 24: 767, 22: 381, 18: 74, 20: 152, 16: 27, 12: 5, 14: 11, 10: 4}, ('SumOfEvens', 8, 8): {40: 14996, 38: 10354, 46: 13670, 42: 16214, 48: 9039, 30: 2458, 32: 3565, 36: 8996, 44: 11803, 34: 6358, 26: 611, 28: 1321, 24: 352, 22: 163, 18: 36, 20: 51, 16: 6, 14: 3, 10: 4}, ('DoubleThreesAndFours', 1, 1): {6: 16591, 8: 16660, 0: 66749}, ('DoubleThreesAndFours', 1, 2): {0: 44675, 6: 27694, 8: 27631}, ('DoubleThreesAndFours', 1, 3): {8: 35147, 6: 35261, 0: 29592}, ('DoubleThreesAndFours', 1, 4): {8: 45993, 0: 24601, 6: 29406}, ('DoubleThreesAndFours', 1, 5): {0: 20499, 8: 55081, 6: 24420}, ('DoubleThreesAndFours', 1, 6): {8: 62657, 6: 20227, 0: 17116}, ('DoubleThreesAndFours', 1, 7): {8: 68747, 6: 17060, 0: 14193}, ('DoubleThreesAndFours', 1, 8): {6: 13924, 8: 74099, 0: 11977}, ('DoubleThreesAndFours', 2, 1): {0: 44382, 6: 22191, 14: 5568, 12: 2892, 8: 22251, 16: 2716}, ('DoubleThreesAndFours', 2, 2): {14: 15403, 0: 19720, 6: 24652, 12: 7693, 8: 24891, 16: 7641}, ('DoubleThreesAndFours', 2, 3): {8: 20929, 14: 24721, 16: 12376, 0: 8765, 12: 12201, 6: 21008}, ('DoubleThreesAndFours', 2, 4): {14: 26935, 6: 14466, 16: 21136, 8: 22828, 12: 8471, 0: 6164}, ('DoubleThreesAndFours', 2, 5): {8: 22620, 14: 26822, 12: 6057, 16: 30189, 6: 10005, 0: 4307}, ('DoubleThreesAndFours', 2, 6): {14: 25326, 16: 39078, 0: 2879, 12: 4204, 8: 21466, 6: 7047}, ('DoubleThreesAndFours', 2, 7): {16: 47373, 8: 19698, 14: 23404, 6: 4637, 12: 2846, 0: 2042}, ('DoubleThreesAndFours', 2, 8): {16: 54542, 14: 20907, 0: 1385, 8: 17795, 6: 3373, 12: 1998}, ('DoubleThreesAndFours', 3, 1): {8: 22138, 0: 29378, 24: 480, 6: 22335, 14: 11232, 12: 5551, 16: 5702, 22: 1429, 20: 1344, 18: 411}, ('DoubleThreesAndFours', 3, 2): {6: 16518, 0: 8894, 14: 20757, 24: 2162, 16: 10163, 8: 16277, 12: 10334, 20: 6399, 18: 2102, 22: 6394}, ('DoubleThreesAndFours', 3, 3): {20: 12900, 6: 9270, 18: 4335, 8: 9252, 22: 13101, 14: 21922, 12: 11066, 16: 11045, 0: 2643, 24: 4466}, ('DoubleThreesAndFours', 3, 4): {14: 20310, 16: 15697, 8: 8330, 12: 6223, 6: 5443, 20: 11695, 24: 9679, 22: 18521, 0: 1523, 18: 2579}, ('DoubleThreesAndFours', 3, 5): {24: 16491, 14: 16545, 12: 3700, 20: 9740, 22: 22168, 16: 18825, 8: 7038, 6: 3180, 18: 1468, 0: 845}, 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24: 10280, 26: 4741, 18: 2466, 6: 1737, 28: 10883, 32: 4475, 8: 2754, 0: 371, 12: 3063}, ('DoubleThreesAndFours', 4, 5): {30: 16244, 28: 10930, 24: 14117, 14: 6844, 12: 1523, 32: 9165, 8: 1901, 6: 827, 22: 18097, 16: 7733, 0: 163, 20: 8048, 26: 3189, 18: 1219}, ('DoubleThreesAndFours', 4, 6): {24: 16773, 22: 16364, 30: 19782, 32: 15340, 26: 2088, 28: 9736, 16: 6958, 12: 735, 20: 5399, 8: 1284, 14: 4451, 6: 427, 18: 584, 0: 79}, ('DoubleThreesAndFours', 4, 7): {32: 22360, 16: 5625, 24: 18879, 28: 8204, 22: 13634, 14: 2915, 30: 22055, 8: 804, 20: 3378, 26: 1283, 18: 284, 12: 341, 6: 189, 0: 49}, ('DoubleThreesAndFours', 4, 8): {20: 2145, 32: 29918, 30: 22891, 22: 10960, 24: 19444, 28: 6551, 26: 825, 16: 4633, 14: 1776, 8: 471, 12: 162, 6: 81, 18: 123, 0: 20}, ('DoubleThreesAndFours', 5, 1): {12: 8304, 6: 16411, 16: 8295, 18: 2097, 22: 6092, 14: 16464, 0: 13122, 20: 6145, 24: 2291, 8: 16451, 28: 1554, 26: 1026, 30: 1078, 34: 123, 32: 320, 36: 136, 38: 72, 40: 19}, ('DoubleThreesAndFours', 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260, 18: 256, 6: 86, 0: 16}, ('DoubleThreesAndFours', 5, 7): {34: 2268, 38: 19248, 32: 16368, 16: 1354, 40: 15233, 24: 6675, 18: 105, 22: 4805, 36: 9333, 30: 15652, 28: 5843, 26: 957, 8: 123, 20: 1203, 14: 710, 12: 85, 6: 31, 0: 7}, ('DoubleThreesAndFours', 5, 8): {40: 21990, 36: 8113, 24: 5723, 32: 18163, 38: 21064, 30: 13694, 28: 3938, 22: 3183, 34: 1518, 16: 957, 26: 458, 14: 358, 20: 677, 8: 62, 12: 38, 18: 44, 6: 18, 0: 2}, ('DoubleThreesAndFours', 6, 1): {0: 8738, 22: 8265, 20: 8158, 28: 3123, 8: 12988, 26: 2034, 24: 3198, 6: 13463, 12: 8147, 14: 16506, 30: 2139, 16: 8267, 18: 2801, 32: 737, 38: 251, 36: 521, 34: 482, 42: 45, 44: 31, 40: 89, 46: 16, 48: 1}, ('DoubleThreesAndFours', 6, 2): {20: 11349, 18: 3691, 30: 7553, 40: 1118, 16: 4479, 26: 6877, 8: 2801, 14: 8843, 22: 11356, 28: 10790, 24: 5588, 34: 4398, 6: 2934, 42: 878, 32: 3974, 36: 4501, 12: 4564, 38: 2498, 0: 784, 46: 267, 44: 700, 48: 57}, ('DoubleThreesAndFours', 6, 3): {30: 9057, 28: 12114, 38: 6065, 36: 9738, 34: 9548, 6: 498, 14: 2851, 18: 2245, 40: 3765, 42: 3710, 20: 6930, 26: 8000, 24: 4357, 32: 6825, 12: 1466, 46: 1087, 22: 6770, 16: 1434, 44: 2808, 8: 492, 0: 72, 48: 168}, ('DoubleThreesAndFours', 6, 4): {14: 1534, 38: 10194, 18: 698, 30: 10836, 32: 6720, 42: 4836, 36: 12511, 40: 5366, 26: 4164, 44: 5640, 46: 3626, 34: 7926, 24: 3611, 28: 10039, 20: 3603, 6: 160, 22: 5673, 16: 1101, 48: 992, 8: 255, 12: 491, 0: 24}, ('DoubleThreesAndFours', 6, 5): {40: 7833, 28: 6985, 46: 7219, 36: 12190, 38: 14163, 34: 5449, 32: 7047, 30: 10494, 44: 8161, 24: 3099, 42: 4738, 26: 2099, 22: 3827, 48: 2739, 16: 877, 18: 244, 20: 1755, 14: 771, 0: 8, 12: 144, 8: 113, 6: 45}, ('DoubleThreesAndFours', 6, 6): {38: 16439, 44: 9477, 36: 10342, 40: 10795, 48: 5932, 30: 8697, 42: 4008, 26: 994, 46: 11631, 16: 539, 28: 4300, 22: 2383, 32: 7204, 20: 762, 34: 3427, 24: 2528, 18: 96, 14: 311, 6: 19, 8: 60, 0: 4, 12: 52}, ('DoubleThreesAndFours', 6, 7): {32: 7113, 42: 3210, 44: 9660, 46: 15581, 38: 16374, 48: 10353, 40: 13795, 30: 6708, 36: 8028, 24: 1921, 34: 1922, 20: 355, 28: 2646, 26: 437, 22: 1401, 16: 278, 14: 145, 8: 28, 18: 31, 6: 2, 12: 11, 0: 1}, ('DoubleThreesAndFours', 6, 8): {46: 18638, 30: 4988, 40: 16076, 24: 1352, 38: 15017, 48: 16432, 36: 5846, 32: 6450, 44: 9045, 20: 143, 28: 1404, 42: 2271, 34: 1121, 26: 160, 16: 162, 22: 812, 14: 61, 12: 9, 8: 9, 18: 4}, ('DoubleThreesAndFours', 7, 1): {16: 7739, 6: 10242, 22: 9715, 20: 9418, 14: 15252, 8: 10404, 24: 4020, 12: 7634, 44: 141, 0: 5803, 18: 3195, 30: 3270, 40: 276, 28: 4897, 32: 1409, 34: 1182, 36: 1226, 38: 668, 42: 226, 26: 3173, 46: 71, 48: 17, 50: 16, 54: 1, 52: 5}, ('DoubleThreesAndFours', 7, 2): {20: 8788, 12: 2776, 28: 11132, 44: 2245, 38: 4228, 34: 6959, 42: 2873, 18: 2867, 36: 7000, 32: 5286, 0: 357, 30: 7900, 40: 2927, 26: 7287, 16: 2846, 22: 8736, 46: 1083, 24: 4687, 14: 5631, 6: 1500, 48: 593, 8: 1462, 50: 446, 56: 17, 52: 276, 54: 98}, ('DoubleThreesAndFours', 7, 3): {42: 7821, 36: 10081, 34: 10088, 30: 6641, 38: 7494, 50: 2457, 28: 8269, 26: 5630, 32: 6333, 40: 6987, 52: 1356, 44: 6306, 20: 3613, 16: 593, 24: 2466, 48: 2709, 46: 3838, 18: 1218, 12: 568, 22: 3517, 6: 177, 8: 170, 54: 442, 14: 1144, 0: 14, 56: 68}, ('DoubleThreesAndFours', 7, 4): {46: 7244, 48: 4033, 30: 6379, 44: 10218, 20: 1553, 42: 8597, 28: 5838, 52: 3713, 38: 9398, 50: 3948, 32: 4601, 40: 6630, 36: 10741, 34: 6715, 22: 2413, 24: 1659, 26: 2455, 54: 1886, 16: 409, 12: 175, 56: 464, 14: 499, 18: 333, 8: 51, 6: 43, 0: 5}, ('DoubleThreesAndFours', 7, 5): {44: 11990, 48: 5993, 32: 3707, 36: 8930, 28: 3284, 18: 109, 42: 6888, 50: 4653, 38: 10182, 52: 6259, 46: 11137, 54: 4781, 34: 3996, 56: 1472, 22: 1391, 40: 6767, 26: 963, 24: 1144, 16: 242, 30: 5190, 20: 603, 6: 16, 14: 225, 8: 23, 12: 49, 0: 6}, ('DoubleThreesAndFours', 7, 6): {38: 9755, 52: 8339, 46: 14027, 30: 3572, 36: 6292, 40: 7116, 54: 8347, 50: 4510, 34: 2079, 56: 3697, 42: 5017, 44: 11451, 48: 8688, 28: 1705, 22: 755, 24: 789, 32: 3005, 14: 65, 20: 239, 16: 134, 26: 357, 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16803}, ('QuadrupleOnesAndTwos', 1, 2): {4: 27448, 0: 44809, 8: 27743}, ('QuadrupleOnesAndTwos', 1, 3): {0: 37100, 4: 23184, 8: 39716}, ('QuadrupleOnesAndTwos', 1, 4): {0: 30963, 8: 49816, 4: 19221}, ('QuadrupleOnesAndTwos', 1, 5): {8: 58605, 4: 16079, 0: 25316}, ('QuadrupleOnesAndTwos', 1, 6): {0: 21505, 8: 65258, 4: 13237}, ('QuadrupleOnesAndTwos', 1, 7): {0: 17676, 8: 71224, 4: 11100}, ('QuadrupleOnesAndTwos', 1, 8): {0: 14971, 8: 75706, 4: 9323}, ('QuadrupleOnesAndTwos', 2, 1): {0: 44566, 4: 22273, 8: 24842, 16: 2834, 12: 5485}, ('QuadrupleOnesAndTwos', 2, 2): {0: 19963, 12: 15172, 16: 7713, 4: 24890, 8: 32262}, ('QuadrupleOnesAndTwos', 2, 3): {0: 13766, 8: 34907, 16: 15630, 4: 17158, 12: 18539}, ('QuadrupleOnesAndTwos', 2, 4): {8: 34465, 12: 19108, 16: 24903, 0: 9543, 4: 11981}, ('QuadrupleOnesAndTwos', 2, 5): {16: 34144, 4: 8302, 8: 32470, 12: 18612, 0: 6472}, ('QuadrupleOnesAndTwos', 2, 6): {16: 42762, 8: 29716, 12: 17216, 0: 4569, 4: 5737}, ('QuadrupleOnesAndTwos', 2, 7): {12: 15756, 16: 50635, 8: 26489, 4: 3974, 0: 3146}, ('QuadrupleOnesAndTwos', 2, 8): {12: 14167, 16: 57266, 0: 2265, 8: 23578, 4: 2724}, ('QuadrupleOnesAndTwos', 3, 1): {12: 11557, 0: 29440, 8: 27747, 4: 22574, 16: 6892, 24: 459, 20: 1331}, ('QuadrupleOnesAndTwos', 3, 2): {8: 26434, 0: 8857, 12: 22986, 4: 16295, 16: 16799, 24: 2148, 20: 6481}, ('QuadrupleOnesAndTwos', 3, 3): {20: 11167, 12: 21685, 4: 9447, 0: 5063, 16: 24084, 8: 22255, 24: 6299}, ('QuadrupleOnesAndTwos', 3, 4): {24: 12448, 4: 5531, 8: 17681, 12: 18400, 16: 28524, 20: 14552, 0: 2864}, ('QuadrupleOnesAndTwos', 3, 5): {16: 30427, 24: 19843, 12: 14755, 8: 13478, 20: 16602, 0: 1676, 4: 3219}, ('QuadrupleOnesAndTwos', 3, 6): {24: 27625, 12: 11326, 16: 31125, 4: 1758, 8: 10259, 20: 16984, 0: 923}, ('QuadrupleOnesAndTwos', 3, 7): {24: 35548, 12: 8769, 16: 29367, 20: 17085, 0: 586, 8: 7543, 4: 1102}, ('QuadrupleOnesAndTwos', 3, 8): {24: 43483, 20: 16170, 12: 6388, 16: 27741, 8: 5277, 4: 607, 0: 334}, ('QuadrupleOnesAndTwos', 4, 1): 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13112, 8: 24718, 4: 16534, 12: 18558, 16: 14547, 20: 7055, 24: 3810, 28: 1194, 32: 390, 36: 66, 40: 16}, ('QuadrupleOnesAndTwos', 5, 2): {4: 5529, 20: 18149, 12: 17687, 24: 12849, 16: 20808, 28: 6991, 32: 2980, 36: 871, 8: 12216, 0: 1764, 40: 156}, ('QuadrupleOnesAndTwos', 5, 3): {36: 2946, 24: 18643, 32: 7960, 20: 19002, 28: 12827, 12: 11074, 16: 17322, 8: 6362, 4: 2161, 0: 719, 40: 984}, ('QuadrupleOnesAndTwos', 5, 4): {32: 14218, 40: 2982, 28: 16398, 4: 847, 24: 20749, 16: 12913, 20: 15867, 36: 5931, 12: 6581, 8: 3209, 0: 305}, ('QuadrupleOnesAndTwos', 5, 5): {40: 6767, 24: 20010, 36: 9319, 20: 12037, 16: 8863, 32: 19789, 28: 17568, 4: 340, 8: 1729, 12: 3480, 0: 98}, ('QuadrupleOnesAndTwos', 5, 6): {24: 17830, 36: 12115, 40: 11918, 20: 8436, 32: 24246, 16: 5734, 28: 16864, 12: 1793, 4: 156, 8: 870, 0: 38}, ('QuadrupleOnesAndTwos', 5, 7): {32: 27238, 36: 14094, 28: 14969, 24: 14936, 40: 17918, 20: 5684, 16: 3712, 12: 924, 8: 445, 4: 51, 0: 29}, ('QuadrupleOnesAndTwos', 5, 8): {28: 12517, 36: 15339, 32: 28388, 40: 25046, 24: 11929, 16: 2344, 20: 3690, 12: 481, 8: 241, 4: 21, 0: 4}, ('QuadrupleOnesAndTwos', 6, 1): {4: 13011, 8: 21357, 24: 6249, 0: 8646, 16: 17008, 12: 19385, 20: 10409, 28: 2502, 36: 289, 32: 1041, 40: 96, 44: 6, 48: 1}, ('QuadrupleOnesAndTwos', 6, 2): {8: 7435, 20: 18814, 28: 11889, 16: 17480, 12: 12792, 24: 16492, 32: 6893, 0: 844, 36: 3013, 4: 2876, 40: 1124, 44: 304, 48: 44}, ('QuadrupleOnesAndTwos', 6, 3): {32: 13314, 12: 6431, 36: 8034, 28: 16506, 20: 15584, 24: 17967, 16: 11685, 40: 4204, 8: 3203, 48: 429, 44: 1402, 0: 264, 4: 977}, ('QuadrupleOnesAndTwos', 6, 4): {28: 17174, 36: 12820, 16: 6727, 40: 9289, 32: 17787, 24: 15746, 44: 3499, 20: 10562, 8: 1361, 4: 301, 12: 3077, 48: 1574, 0: 83}, ('QuadrupleOnesAndTwos', 6, 5): {32: 19588, 24: 12264, 44: 6410, 40: 14682, 36: 16002, 28: 14810, 20: 6466, 48: 3921, 16: 3781, 12: 1344, 4: 106, 8: 590, 0: 36}, ('QuadrupleOnesAndTwos', 6, 6): {40: 19906, 32: 19145, 36: 16864, 24: 8774, 8: 238, 48: 7617, 28: 11481, 44: 9386, 16: 2094, 12: 594, 20: 3849, 4: 40, 0: 12}, ('QuadrupleOnesAndTwos', 6, 7): {36: 16148, 32: 17207, 44: 11862, 40: 24051, 48: 12836, 24: 6015, 28: 8372, 16: 1032, 20: 2123, 12: 240, 8: 96, 4: 15, 0: 3}, ('QuadrupleOnesAndTwos', 6, 8): {36: 14585, 32: 14489, 24: 3868, 40: 26779, 28: 5738, 44: 13821, 48: 18879, 8: 40, 20: 1118, 16: 559, 12: 121, 0: 1, 4: 2}, ('QuadrupleOnesAndTwos', 7, 1): {24: 8617, 12: 18364, 8: 17905, 4: 10185, 16: 18160, 0: 5780, 32: 2221, 28: 4458, 20: 13115, 36: 827, 44: 77, 40: 266, 48: 23, 52: 2}, ('QuadrupleOnesAndTwos', 7, 2): {28: 15061, 24: 17562, 12: 8501, 16: 13204, 20: 16895, 4: 1436, 32: 11122, 40: 3259, 8: 4327, 44: 1279, 36: 6507, 0: 359, 52: 86, 48: 388, 56: 14}, ('QuadrupleOnesAndTwos', 7, 3): {12: 3419, 20: 11008, 36: 12681, 44: 4707, 24: 14839, 40: 8773, 8: 1544, 16: 7076, 32: 16118, 28: 16393, 48: 2126, 0: 84, 52: 637, 4: 437, 56: 158}, ('QuadrupleOnesAndTwos', 7, 4): {20: 6250, 48: 5741, 32: 16527, 36: 15938, 28: 13596, 40: 14071, 24: 10535, 44: 9192, 12: 1277, 8: 548, 16: 3362, 56: 733, 52: 2105, 4: 109, 0: 16}, ('QuadrupleOnesAndTwos', 7, 5): {28: 9400, 44: 13369, 32: 14443, 36: 15955, 20: 3100, 56: 2291, 48: 10702, 40: 17820, 16: 1506, 24: 6337, 52: 4316, 8: 185, 12: 538, 4: 35, 0: 3}, ('QuadrupleOnesAndTwos', 7, 6): {40: 19063, 56: 4910, 48: 15867, 32: 11398, 44: 15587, 52: 7202, 36: 13738, 24: 3747, 28: 5988, 20: 1535, 16: 694, 12: 199, 8: 63, 4: 8, 0: 1}, ('QuadrupleOnesAndTwos', 7, 7): {24: 2129, 52: 9969, 44: 16470, 36: 10801, 40: 18184, 56: 9078, 48: 20467, 28: 3595, 32: 8275, 20: 673, 16: 270, 12: 66, 8: 17, 4: 4, 0: 2}, ('QuadrupleOnesAndTwos', 7, 8): {48: 24388, 44: 15477, 52: 12403, 28: 2117, 56: 14425, 40: 16197, 32: 5715, 16: 107, 24: 1063, 36: 7770, 20: 307, 12: 24, 8: 6, 0: 1}, ('QuadrupleOnesAndTwos', 8, 1): {12: 17214, 8: 14638, 20: 14651, 4: 7682, 16: 18191, 24: 10976, 36: 1607, 0: 3811, 32: 3601, 28: 6591, 44: 234, 40: 725, 48: 64, 52: 14, 56: 1}, ('QuadrupleOnesAndTwos', 8, 2): 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56: 17187, 40: 10276, 44: 12582, 32: 3399, 48: 18487, 60: 8149, 64: 6573, 28: 1363, 24: 681, 20: 212, 16: 65, 12: 22, 8: 1}, ('QuadrupleOnesAndTwos', 8, 8): {40: 7484, 64: 11129, 52: 15898, 48: 17080, 44: 9727, 56: 21877, 60: 10773, 36: 3224, 32: 1803, 24: 259, 28: 651, 20: 66, 16: 27, 8: 1, 12: 1}, ('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): {10: 67381, 0: 32619}, ('MicroStraight', 2, 4): {10: 78341, 0: 21659}, ('MicroStraight', 2, 5): {10: 85712, 0: 14288}, ('MicroStraight', 2, 6): {10: 90118, 0: 9882}, ('MicroStraight', 2, 7): {10: 93498, 0: 6502}, ('MicroStraight', 2, 8): {10: 95839, 0: 4161}, ('MicroStraight', 3, 1): {10: 58057, 0: 41943}, ('MicroStraight', 3, 2): {10: 84476, 0: 15524}, ('MicroStraight', 3, 3): {10: 94300, 0: 5700}, ('MicroStraight', 3, 4): {10: 97873, 0: 2127}, ('MicroStraight', 3, 5): {10: 99256, 0: 744}, ('MicroStraight', 3, 6): {10: 99740, 0: 260}, ('MicroStraight', 3, 7): {10: 99885, 0: 115}, ('MicroStraight', 3, 8): {10: 99966, 0: 34}, ('MicroStraight', 4, 1): {10: 77693, 0: 22307}, ('MicroStraight', 4, 2): {10: 95580, 0: 4420}, ('MicroStraight', 4, 3): {10: 99194, 0: 806}, ('MicroStraight', 4, 4): {10: 99795, 0: 205}, ('MicroStraight', 4, 5): {10: 99980, 0: 20}, ('MicroStraight', 4, 6): {10: 99995, 0: 5}, ('MicroStraight', 4, 7): {10: 99999, 0: 1}, ('MicroStraight', 4, 8): {10: 99999, 0: 1}, ('MicroStraight', 5, 1): {10: 88315, 0: 11685}, ('MicroStraight', 5, 2): {10: 98859, 0: 1141}, ('MicroStraight', 5, 3): {10: 99881, 0: 119}, ('MicroStraight', 5, 4): {10: 99989, 0: 11}, ('MicroStraight', 5, 5): {10: 99999, 0: 1}, ('MicroStraight', 5, 6): {10: 100000}, ('MicroStraight', 5, 7): {10: 100000}, ('MicroStraight', 5, 8): {10: 100000}, ('MicroStraight', 6, 1): {10: 94063, 0: 5937}, ('MicroStraight', 6, 2): {10: 99693, 0: 307}, ('MicroStraight', 6, 3): {10: 99991, 0: 9}, ('MicroStraight', 6, 4): {10: 99999, 0: 1}, ('MicroStraight', 6, 5): {10: 100000}, ('MicroStraight', 6, 6): {10: 100000}, ('MicroStraight', 6, 7): {10: 100000}, ('MicroStraight', 6, 8): {10: 100000}, ('MicroStraight', 7, 1): {10: 96928, 0: 3072}, ('MicroStraight', 7, 2): {10: 99915, 0: 85}, ('MicroStraight', 7, 3): {10: 99998, 0: 2}, ('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): {10: 98456, 0: 1544}, ('MicroStraight', 8, 2): {10: 99985, 0: 15}, ('MicroStraight', 8, 3): {10: 100000}, ('MicroStraight', 8, 4): {10: 100000}, ('MicroStraight', 8, 5): {10: 100000}, ('MicroStraight', 8, 6): {10: 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{20: 31331, 0: 68669}, ('ThreeOdds', 4, 2): {0: 26140, 20: 73860}, ('ThreeOdds', 4, 3): {20: 92163, 0: 7837}, ('ThreeOdds', 4, 4): {20: 97831, 0: 2169}, ('ThreeOdds', 4, 5): {20: 99484, 0: 516}, ('ThreeOdds', 4, 6): {20: 99844, 0: 156}, ('ThreeOdds', 4, 7): {20: 99960, 0: 40}, ('ThreeOdds', 4, 8): {20: 99988, 0: 12}, ('ThreeOdds', 5, 1): {0: 49908, 20: 50092}, ('ThreeOdds', 5, 2): {20: 89627, 0: 10373}, ('ThreeOdds', 5, 3): {20: 98360, 0: 1640}, ('ThreeOdds', 5, 4): {20: 99777, 0: 223}, ('ThreeOdds', 5, 5): {20: 99976, 0: 24}, ('ThreeOdds', 5, 6): {20: 99997, 0: 3}, ('ThreeOdds', 5, 7): {20: 99999, 0: 1}, ('ThreeOdds', 5, 8): {20: 100000}, ('ThreeOdds', 6, 1): {20: 65434, 0: 34566}, ('ThreeOdds', 6, 2): {20: 96234, 0: 3766}, ('ThreeOdds', 6, 3): {20: 99709, 0: 291}, ('ThreeOdds', 6, 4): {20: 99978, 0: 22}, ('ThreeOdds', 6, 5): {20: 100000}, ('ThreeOdds', 6, 6): {20: 100000}, ('ThreeOdds', 6, 7): {20: 100000}, ('ThreeOdds', 6, 8): {20: 100000}, ('ThreeOdds', 7, 1): {20: 77278, 0: 22722}, ('ThreeOdds', 7, 2): {20: 98709, 0: 1291}, ('ThreeOdds', 7, 3): {20: 99962, 0: 38}, ('ThreeOdds', 7, 4): {20: 99998, 0: 2}, ('ThreeOdds', 7, 5): {20: 100000}, ('ThreeOdds', 7, 6): {20: 100000}, ('ThreeOdds', 7, 7): {20: 100000}, ('ThreeOdds', 7, 8): {20: 100000}, ('ThreeOdds', 8, 1): {20: 85444, 0: 14556}, ('ThreeOdds', 8, 2): {20: 99570, 0: 430}, ('ThreeOdds', 8, 3): {20: 99997, 0: 3}, ('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): {30: 13395, 0: 86605}, ('OneTwoOneConsecutive', 4, 3): {0: 75037, 30: 24963}, ('OneTwoOneConsecutive', 4, 4): {30: 36344, 0: 63656}, ('OneTwoOneConsecutive', 4, 5): {30: 46131, 0: 53869}, ('OneTwoOneConsecutive', 4, 6): {30: 54869, 0: 45131}, ('OneTwoOneConsecutive', 4, 7): {30: 62465, 0: 37535}, ('OneTwoOneConsecutive', 4, 8): {30: 68575, 0: 31425}, ('OneTwoOneConsecutive', 5, 1): {0: 86632, 30: 13368}, ('OneTwoOneConsecutive', 5, 2): {0: 62779, 30: 37221}, ('OneTwoOneConsecutive', 5, 3): {30: 53966, 0: 46034}, ('OneTwoOneConsecutive', 5, 4): {0: 34983, 30: 65017}, ('OneTwoOneConsecutive', 5, 5): {0: 28056, 30: 71944}, ('OneTwoOneConsecutive', 5, 6): {30: 76850, 0: 23150}, ('OneTwoOneConsecutive', 5, 7): {30: 80423, 0: 19577}, ('OneTwoOneConsecutive', 5, 8): {0: 17613, 30: 82387}, ('OneTwoOneConsecutive', 6, 1): {0: 71928, 30: 28072}, ('OneTwoOneConsecutive', 6, 2): {0: 40724, 30: 59276}, ('OneTwoOneConsecutive', 6, 3): {30: 73277, 0: 26723}, ('OneTwoOneConsecutive', 6, 4): {0: 19685, 30: 80315}, ('OneTwoOneConsecutive', 6, 5): {30: 84540, 0: 15460}, ('OneTwoOneConsecutive', 6, 6): {30: 87474, 0: 12526}, ('OneTwoOneConsecutive', 6, 7): {30: 89986, 0: 10014}, ('OneTwoOneConsecutive', 6, 8): {30: 91749, 0: 8251}, ('OneTwoOneConsecutive', 7, 1): {0: 55544, 30: 44456}, ('OneTwoOneConsecutive', 7, 2): {30: 75160, 0: 24840}, ('OneTwoOneConsecutive', 7, 3): {30: 84898, 0: 15102}, ('OneTwoOneConsecutive', 7, 4): {30: 89459, 0: 10541}, ('OneTwoOneConsecutive', 7, 5): {30: 92280, 0: 7720}, ('OneTwoOneConsecutive', 7, 6): {30: 94446, 0: 5554}, ('OneTwoOneConsecutive', 7, 7): {30: 95894, 0: 4106}, ('OneTwoOneConsecutive', 7, 8): {30: 96975, 0: 3025}, ('OneTwoOneConsecutive', 8, 1): {30: 59307, 0: 40693}, ('OneTwoOneConsecutive', 8, 2): {0: 14827, 30: 85173}, ('OneTwoOneConsecutive', 8, 3): {30: 91805, 0: 8195}, ('OneTwoOneConsecutive', 8, 4): {30: 94617, 0: 5383}, ('OneTwoOneConsecutive', 8, 5): {30: 96605, 0: 3395}, ('OneTwoOneConsecutive', 8, 6): {30: 97701, 0: 2299}, ('OneTwoOneConsecutive', 8, 7): {30: 98588, 0: 1412}, ('OneTwoOneConsecutive', 8, 8): {30: 99128, 0: 872}, ('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): {20: 55293, 0: 44707}, ('ThreeDistinctDice', 3, 2): {0: 15078, 20: 84922}, ('ThreeDistinctDice', 3, 3): {20: 94944, 0: 5056}, ('ThreeDistinctDice', 3, 4): {0: 1688, 20: 98312}, ('ThreeDistinctDice', 3, 5): {20: 99484, 0: 516}, ('ThreeDistinctDice', 3, 6): {20: 99818, 0: 182}, ('ThreeDistinctDice', 3, 7): {20: 99944, 0: 56}, ('ThreeDistinctDice', 3, 8): {20: 99985, 0: 15}, ('ThreeDistinctDice', 4, 1): {20: 83279, 0: 16721}, ('ThreeDistinctDice', 4, 2): {20: 98174, 0: 1826}, ('ThreeDistinctDice', 4, 3): {20: 99797, 0: 203}, ('ThreeDistinctDice', 4, 4): {20: 99982, 0: 18}, ('ThreeDistinctDice', 4, 5): {20: 99997, 0: 3}, ('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): {20: 99764, 0: 236}, ('ThreeDistinctDice', 5, 3): {20: 99988, 0: 12}, ('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): {20: 98008, 0: 1992}, ('ThreeDistinctDice', 6, 2): {20: 99979, 0: 21}, ('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): {20: 99308, 0: 692}, ('ThreeDistinctDice', 7, 2): {20: 99996, 0: 4}, ('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): {20: 99757, 0: 243}, ('ThreeDistinctDice', 8, 2): {20: 99999, 0: 1}, ('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): {30: 46964, 0: 53036}, ('TwoPair', 4, 6): {0: 45705, 30: 54295}, ('TwoPair', 4, 7): {0: 39398, 30: 60602}, ('TwoPair', 4, 8): {30: 66327, 0: 33673}, ('TwoPair', 5, 1): {30: 27153, 0: 72847}, ('TwoPair', 5, 2): {30: 53241, 0: 46759}, ('TwoPair', 5, 3): {30: 70538, 0: 29462}, ('TwoPair', 5, 4): {30: 81649, 0: 18351}, ('TwoPair', 5, 5): {30: 88207, 0: 11793}, ('TwoPair', 5, 6): {30: 92615, 0: 7385}, ('TwoPair', 5, 7): {30: 95390, 0: 4610}, ('TwoPair', 5, 8): {30: 97062, 0: 2938}, ('TwoPair', 6, 1): {30: 55569, 0: 44431}, ('TwoPair', 6, 2): {30: 82817, 0: 17183}, ('TwoPair', 6, 3): {30: 93241, 0: 6759}, ('TwoPair', 6, 4): {30: 97438, 0: 2562}, ('TwoPair', 6, 5): {30: 99052, 0: 948}, ('TwoPair', 6, 6): {30: 99625, 0: 375}, ('TwoPair', 6, 7): {30: 99862, 0: 138}, ('TwoPair', 6, 8): {30: 99943, 0: 57}, ('TwoPair', 7, 1): {0: 19888, 30: 80112}, ('TwoPair', 7, 2): {30: 96065, 0: 3935}, ('TwoPair', 7, 3): {30: 99199, 0: 801}, ('TwoPair', 7, 4): {30: 99825, 0: 175}, ('TwoPair', 7, 5): {30: 99969, 0: 31}, ('TwoPair', 7, 6): {30: 99993, 0: 7}, ('TwoPair', 7, 7): {30: 99998, 0: 2}, ('TwoPair', 7, 8): {30: 100000}, ('TwoPair', 8, 1): {30: 93209, 0: 6791}, ('TwoPair', 8, 2): {30: 99412, 0: 588}, ('TwoPair', 8, 3): {30: 99939, 0: 61}, ('TwoPair', 8, 4): {30: 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("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: 99919, 50: 81}, ("Yacht", 5, 2): {0: 98727, 50: 1273}, ("Yacht", 5, 3): {50: 4653, 0: 95347}, ("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): {50: 29218, 0: 70782}, ("Yacht", 6, 5): {0: 56573, 50: 43427}, ("Yacht", 6, 6): {50: 55794, 0: 44206}, ("Yacht", 6, 7): {50: 66422, 0: 33578}, ("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): {50: 78517, 0: 21483}, ("Yacht", 7, 7): {50: 86403, 0: 13597}, ("Yacht", 7, 8): {50: 91517, 0: 8483}, ("Yacht", 8, 0): {0: 100000}, ("Yacht", 8, 1): {0: 97212, 50: 2788}, ("Yacht", 8, 2): {50: 23038, 0: 76962}, ("Yacht", 8, 3): {0: 50533, 50: 49467}, ("Yacht", 8, 4): {50: 70019, 0: 29981}, ("Yacht", 8, 5): 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("Distincts", 3, 7): {3: 99931, 2: 69}, ("Distincts", 3, 8): {3: 99978, 2: 22}, ("Distincts", 4, 1): {3: 55471, 2: 16140, 4: 27895, 1: 494}, ("Distincts", 4, 2): {3: 36922, 4: 61185, 2: 1891, 1: 2}, ("Distincts", 4, 3): {4: 80139, 3: 19631, 2: 230}, ("Distincts", 4, 4): {4: 90121, 3: 9858, 2: 21}, ("Distincts", 4, 5): {4: 95094, 3: 4904, 2: 2}, ("Distincts", 4, 6): {4: 97506, 3: 2494}, ("Distincts", 4, 7): {4: 98703, 3: 1297}, ("Distincts", 4, 8): {4: 99389, 3: 611}, ("Distincts", 5, 1): {4: 46379, 5: 9285, 3: 38538, 2: 5717, 1: 81}, ("Distincts", 5, 2): {4: 56472, 5: 31685, 3: 11647, 2: 196}, ("Distincts", 5, 3): {4: 44724, 5: 52254, 3: 3016, 2: 6}, ("Distincts", 5, 4): {4: 31632, 5: 67646, 3: 722}, ("Distincts", 5, 5): {5: 78394, 4: 21391, 3: 215}, ("Distincts", 5, 6): {5: 85475, 4: 14470, 3: 55}, ("Distincts", 5, 7): {5: 90340, 4: 9645, 3: 15}, ("Distincts", 5, 8): {5: 93537, 4: 6461, 3: 2}, ("Distincts", 6, 1): {3: 22985, 5: 23032, 4: 50464, 2: 2019, 6: 1492, 1: 8}, ("Distincts", 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("Distincts", 8, 3): {6: 63276, 5: 34748, 4: 1967, 3: 9}, ("Distincts", 8, 4): {6: 78603, 5: 21008, 4: 389}, ("Distincts", 8, 5): {6: 87408, 5: 12514, 4: 78}, ("Distincts", 8, 6): {6: 92823, 5: 7159, 4: 18}, ("Distincts", 8, 7): {6: 95821, 5: 4175, 4: 4}, ("Distincts", 8, 8): {6: 97560, 5: 2440}, ("TwosAndThrees", 1, 1): {0: 66466, 2: 16929, 3: 16605}, ("TwosAndThrees", 1, 2): {0: 55640, 2: 13812, 3: 30548}, ("TwosAndThrees", 1, 3): {3: 42178, 0: 46223, 2: 11599}, ("TwosAndThrees", 1, 4): {3: 51830, 0: 38552, 2: 9618}, ("TwosAndThrees", 1, 5): {0: 32320, 3: 59706, 2: 7974}, ("TwosAndThrees", 1, 6): {0: 26733, 3: 66583, 2: 6684}, ("TwosAndThrees", 1, 7): {3: 72148, 0: 22289, 2: 5563}, ("TwosAndThrees", 1, 8): {3: 76636, 0: 18676, 2: 4688}, ("TwosAndThrees", 2, 1): {3: 22335, 2: 21965, 0: 44565, 4: 2837, 5: 5615, 6: 2683}, ("TwosAndThrees", 2, 2): {3: 33956, 0: 30855, 6: 9438, 2: 15480, 5: 8278, 4: 1993}, ("TwosAndThrees", 2, 3): {0: 21509, 3: 38995, 6: 17586, 2: 10838, 5: 9727, 4: 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("TwosAndThrees", 4, 6): {9: 31606, 5: 3815, 8: 9649, 11: 7894, 3: 5070, 12: 19495, 6: 19042, 10: 1243, 2: 514, 7: 971, 0: 530, 4: 171}, ("TwosAndThrees", 4, 7): {6: 15556, 3: 3337, 9: 33379, 12: 26771, 5: 2427, 11: 8601, 2: 239, 8: 7881, 10: 918, 0: 224, 7: 584, 4: 83}, ("TwosAndThrees", 4, 8): {11: 8379, 6: 12179, 8: 6079, 9: 33703, 2: 130, 12: 34875, 3: 1931, 5: 1468, 10: 738, 7: 353, 0: 123, 4: 42}, ("TwosAndThrees", 5, 1): {8: 6572, 5: 16396, 6: 10247, 4: 8172, 3: 16607, 2: 16414, 7: 6170, 0: 13070, 9: 3061, 10: 1591, 11: 1136, 12: 374, 13: 124, 14: 55, 15: 11}, ("TwosAndThrees", 5, 2): {6: 16838, 8: 12090, 5: 14763, 7: 5565, 2: 6515, 3: 14466, 10: 3040, 0: 5213, 9: 9616, 12: 2659, 4: 3294, 11: 4470, 14: 636, 13: 578, 15: 257}, ("TwosAndThrees", 5, 3): {5: 9700, 3: 9638, 6: 17947, 11: 8066, 9: 16835, 8: 13214, 13: 1039, 7: 3741, 0: 2126, 12: 7402, 4: 1321, 2: 2581, 15: 1332, 14: 1842, 10: 3216}, ("TwosAndThrees", 5, 4): {6: 15410, 9: 20661, 15: 3811, 5: 5781, 14: 3435, 10: 3042, 11: 10468, 8: 11579, 7: 2157, 3: 5807, 12: 14158, 0: 848, 13: 1264, 2: 1086, 4: 493}, ("TwosAndThrees", 5, 5): {12: 20783, 14: 5166, 6: 12042, 9: 22225, 8: 8829, 11: 11126, 3: 3222, 7: 1226, 10: 2220, 15: 7632, 5: 3184, 13: 1346, 2: 401, 0: 380, 4: 218}, ("TwosAndThrees", 5, 6): {15: 13013, 14: 6551, 12: 26214, 9: 21305, 11: 10593, 10: 1597, 8: 6610, 6: 8412, 5: 1670, 13: 1307, 3: 1698, 7: 653, 0: 123, 2: 172, 4: 82}, ("TwosAndThrees", 5, 7): {14: 7512, 11: 9332, 9: 18653, 6: 5940, 8: 4428, 15: 19396, 12: 30190, 13: 1142, 10: 1106, 3: 896, 7: 332, 5: 908, 4: 41, 0: 59, 2: 65}, ("TwosAndThrees", 5, 8): {6: 3768, 9: 15520, 14: 7963, 15: 26880, 12: 32501, 11: 7771, 8: 2819, 10: 666, 13: 973, 5: 459, 2: 30, 3: 470, 7: 153, 0: 13, 4: 14}, ("TwosAndThrees", 6, 1): {3: 13212, 2: 13135, 10: 3108, 0: 8955, 4: 8191, 8: 8621, 5: 16659, 6: 10713, 9: 4879, 7: 8276, 13: 496, 11: 2290, 14: 282, 17: 18, 12: 1026, 15: 100, 16: 37, 18: 2}, ("TwosAndThrees", 6, 2): {13: 1940, 9: 11416, 2: 4382, 11: 7676, 10: 5032, 6: 14157, 5: 11978, 8: 13344, 12: 4905, 3: 9661, 14: 2123, 15: 1026, 7: 6021, 0: 2944, 4: 2851, 16: 247, 17: 202, 18: 95}, ("TwosAndThrees", 6, 3): {9: 15493, 11: 11208, 2: 1507, 13: 2828, 15: 3924, 10: 4567, 6: 12595, 14: 5229, 5: 6758, 8: 12211, 12: 10862, 3: 5429, 7: 3404, 17: 912, 4: 933, 18: 529, 0: 977, 16: 634}, ("TwosAndThrees", 6, 4): {8: 9036, 15: 8762, 11: 12021, 10: 3287, 12: 16325, 9: 16299, 14: 8216, 18: 1928, 17: 2081, 6: 9147, 7: 1667, 4: 294, 2: 545, 16: 1007, 5: 3351, 3: 2723, 13: 2991, 0: 320}, ("TwosAndThrees", 6, 5): {15: 15030, 9: 14359, 13: 2648, 10: 2136, 12: 20394, 8: 5744, 6: 5681, 14: 10049, 11: 10563, 18: 4564, 17: 3669, 5: 1525, 3: 1189, 16: 1251, 2: 184, 7: 777, 4: 123, 0: 114}, ("TwosAndThrees", 6, 6): {11: 8492, 15: 21066, 12: 21369, 17: 5246, 6: 3342, 16: 1335, 14: 10649, 8: 3453, 18: 8568, 10: 1300, 9: 11370, 3: 543, 13: 2098, 5: 696, 7: 350, 2: 64, 4: 25, 0: 34}, ("TwosAndThrees", 6, 7): {18: 14118, 14: 10107, 17: 6654, 15: 26139, 12: 20371, 9: 8281, 13: 1535, 16: 1221, 3: 221, 11: 6214, 6: 1923, 8: 1973, 10: 715, 5: 334, 7: 158, 0: 14, 4: 5, 2: 17}, ("TwosAndThrees", 6, 8): {15: 29815, 18: 20433, 5: 123, 11: 4522, 12: 17854, 14: 8991, 17: 7602, 3: 107, 9: 5741, 8: 1043, 10: 416, 13: 1062, 16: 1197, 6: 1007, 7: 69, 0: 7, 2: 9, 4: 2}, ("TwosAndThrees", 7, 1): {8: 10304, 0: 5802, 2: 10380, 11: 3830, 7: 9559, 10: 5017, 5: 15384, 4: 7689, 3: 10100, 9: 6289, 13: 1211, 6: 11027, 12: 2088, 14: 735, 15: 309, 16: 177, 17: 59, 19: 11, 18: 27, 20: 2}, ("TwosAndThrees", 7, 2): {10: 6466, 0: 1605, 8: 13172, 7: 5824, 11: 9919, 13: 3610, 9: 11600, 14: 4206, 2: 2810, 6: 11269, 5: 9442, 12: 6844, 15: 2299, 3: 6242, 17: 923, 16: 966, 4: 2215, 18: 376, 19: 114, 20: 76, 21: 22}, ("TwosAndThrees", 7, 3): {6: 8288, 7: 2641, 3: 2956, 9: 13017, 8: 10013, 14: 8279, 16: 2082, 12: 12302, 11: 12133, 13: 4465, 18: 1968, 15: 6674, 10: 5028, 17: 3001, 5: 4265, 2: 792, 20: 437, 21: 258, 4: 558, 0: 471, 19: 372}, ("TwosAndThrees", 7, 4): {15: 12396, 9: 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13: 707, 6: 249, 10: 197, 7: 19, 3: 27, 2: 2, 0: 2}, ("TwosAndThrees", 8, 1): {12: 3210, 0: 3799, 7: 10309, 5: 13610, 10: 6648, 6: 10144, 3: 7840, 2: 7917, 9: 7504, 8: 11477, 4: 6794, 13: 2299, 11: 5342, 14: 1498, 16: 444, 15: 738, 17: 245, 19: 51, 18: 105, 20: 20, 21: 4, 22: 1, 23: 1}, ("TwosAndThrees", 8, 2): {11: 11041, 12: 8197, 5: 6900, 18: 1088, 9: 10605, 14: 6195, 8: 11961, 16: 2205, 10: 7327, 13: 5337, 6: 8536, 0: 902, 4: 1547, 15: 3891, 3: 4041, 7: 5214, 20: 384, 2: 1872, 17: 2062, 21: 155, 22: 37, 19: 479, 23: 17, 24: 7}, ("TwosAndThrees", 8, 3): {11: 11338, 12: 11675, 13: 5514, 15: 8898, 6: 5105, 17: 5667, 9: 9728, 8: 7389, 18: 3828, 22: 206, 19: 1391, 14: 10523, 16: 3854, 10: 4686, 7: 1931, 23: 227, 21: 1014, 20: 1681, 3: 1598, 4: 392, 5: 2625, 2: 422, 0: 201, 24: 107}, ("TwosAndThrees", 8, 4): {17: 9133, 12: 11960, 15: 13098, 16: 4254, 11: 8286, 9: 6908, 20: 3995, 21: 3323, 14: 11359, 10: 2363, 18: 8743, 13: 4118, 19: 2217, 8: 3661, 24: 520, 7: 648, 6: 2558, 23: 768, 22: 471, 3: 518, 2: 97, 5: 884, 4: 75, 0: 43}, ("TwosAndThrees", 8, 5): {21: 7245, 13: 2524, 16: 3469, 12: 9934, 11: 5061, 17: 10743, 15: 14970, 18: 14072, 24: 1671, 14: 9578, 10: 1007, 20: 6621, 6: 1110, 9: 4201, 19: 2728, 23: 1727, 8: 1714, 22: 848, 5: 316, 3: 188, 7: 211, 0: 16, 2: 16, 4: 30}, ("TwosAndThrees", 8, 6): {20: 8749, 15: 14205, 8: 683, 14: 7037, 18: 17783, 17: 10618, 23: 3141, 9: 2273, 24: 3858, 5: 96, 12: 7143, 21: 12731, 13: 1405, 11: 2957, 22: 1109, 19: 2548, 6: 474, 16: 2612, 10: 436, 3: 57, 7: 68, 2: 8, 4: 6, 0: 3}, ("TwosAndThrees", 8, 7): {21: 18331, 18: 19896, 20: 9757, 16: 1804, 23: 4503, 19: 2324, 24: 7305, 17: 8935, 12: 4725, 15: 12345, 22: 1237, 13: 775, 9: 1167, 14: 4727, 11: 1485, 6: 176, 8: 251, 10: 195, 3: 16, 7: 19, 5: 24, 0: 1, 4: 1, 2: 1}, ("TwosAndThrees", 8, 8): {21: 23586, 20: 10020, 15: 9640, 18: 19736, 24: 12112, 17: 7289, 23: 5802, 22: 1233, 14: 2918, 19: 1781, 12: 2912, 9: 557, 16: 1068, 13: 390, 11: 718, 8: 90, 6: 66, 7: 7, 10: 61, 5: 7, 3: 7}, ("SumOfOdds", 1, 1): {0: 50084, 3: 16584, 1: 16488, 5: 16844}, ("SumOfOdds", 1, 2): {0: 33472, 3: 27886, 1: 11017, 5: 27625}, ("SumOfOdds", 1, 3): {0: 27892, 5: 39809, 1: 9293, 3: 23006}, ("SumOfOdds", 1, 4): {3: 19299, 5: 49784, 0: 23060, 1: 7857}, ("SumOfOdds", 1, 5): {5: 58167, 3: 15941, 1: 6559, 0: 19333}, ("SumOfOdds", 1, 6): {5: 65098, 0: 16250, 1: 5428, 3: 13224}, ("SumOfOdds", 1, 7): {5: 70969, 3: 11191, 0: 13420, 1: 4420}, ("SumOfOdds", 1, 8): {5: 75949, 0: 11042, 3: 9361, 1: 3648}, ("SumOfOdds", 2, 1): {5: 16856, 8: 5540, 6: 8312, 4: 5580, 0: 24611, 1: 16800, 3: 16654, 2: 2815, 10: 2832}, ("SumOfOdds", 2, 2): {8: 15414, 3: 18386, 6: 13858, 0: 11216, 4: 6190, 5: 18558, 10: 7773, 1: 7355, 2: 1250}, ("SumOfOdds", 2, 3): {1: 5252, 6: 12709, 3: 12782, 8: 18363, 5: 22224, 10: 15919, 0: 7666, 4: 4273, 2: 812}, ("SumOfOdds", 2, 4): {3: 8914, 6: 11358, 5: 23132, 4: 2928, 10: 24940, 0: 5392, 1: 3585, 8: 19129, 2: 622}, ("SumOfOdds", 2, 5): {5: 22529, 0: 3735, 3: 6203, 4: 2093, 10: 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("SumOfOdds", 3, 5): {11: 10985, 10: 19378, 13: 16370, 5: 6682, 6: 5931, 8: 10857, 9: 4058, 15: 19804, 7: 1250, 1: 660, 3: 1831, 2: 246, 4: 1236, 0: 712}, ("SumOfOdds", 3, 6): {15: 27548, 5: 5144, 13: 17133, 10: 20496, 8: 8411, 11: 10472, 6: 4205, 9: 2961, 1: 398, 2: 146, 3: 1070, 4: 746, 7: 864, 0: 406}, ("SumOfOdds", 3, 7): {8: 6397, 15: 35967, 10: 20125, 9: 2262, 5: 3882, 0: 233, 4: 399, 11: 9495, 13: 16763, 6: 3021, 7: 607, 1: 235, 3: 539, 2: 75}, ("SumOfOdds", 3, 8): {15: 43436, 6: 2174, 10: 19242, 13: 16221, 11: 8430, 8: 4737, 9: 1594, 5: 2863, 3: 352, 7: 406, 1: 130, 0: 146, 4: 214, 2: 55}, ("SumOfOdds", 4, 1): {11: 5334, 12: 1465, 5: 11215, 14: 1216, 3: 9225, 6: 12932, 1: 8440, 7: 5618, 4: 8433, 10: 5290, 0: 6192, 8: 9117, 16: 760, 9: 6474, 2: 4238, 13: 2744, 15: 930, 18: 299, 20: 78}, ("SumOfOdds", 4, 2): {7: 4928, 20: 589, 9: 9721, 14: 5301, 18: 2447, 13: 8342, 10: 7201, 4: 4099, 8: 11060, 15: 2925, 6: 9467, 3: 4253, 11: 11978, 12: 3975, 1: 1599, 16: 4530, 5: 5463, 0: 1267, 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14006, 4: 2618, 2: 538, 0: 794}, ("SumOfEvens", 3, 1): {2: 12516, 0: 12538, 4: 16530, 8: 13745, 10: 11209, 6: 21270, 14: 2828, 16: 1389, 12: 7524, 18: 451}, ("SumOfEvens", 3, 2): {10: 18955, 12: 15021, 4: 10459, 16: 6476, 14: 8937, 8: 15032, 2: 3738, 6: 15644, 0: 3666, 18: 2072}, ("SumOfEvens", 3, 3): {8: 12295, 6: 8576, 4: 5572, 10: 20247, 18: 4316, 14: 15953, 12: 18001, 16: 12864, 2: 1093, 0: 1083}, ("SumOfEvens", 3, 4): {12: 18975, 4: 3238, 8: 8218, 10: 17232, 0: 642, 14: 15832, 16: 18749, 18: 9594, 6: 6844, 2: 676}, ("SumOfEvens", 3, 5): {16: 21954, 12: 19533, 14: 14402, 10: 13927, 18: 16784, 8: 5720, 6: 5105, 4: 1825, 2: 377, 0: 373}, ("SumOfEvens", 3, 6): {16: 23882, 14: 12940, 18: 24491, 12: 19070, 10: 10614, 8: 3796, 6: 3732, 4: 1064, 0: 195, 2: 216}, ("SumOfEvens", 3, 7): {18: 32287, 16: 24254, 12: 18146, 10: 8145, 8: 2534, 6: 2787, 14: 10985, 4: 613, 0: 126, 2: 123}, ("SumOfEvens", 3, 8): {12: 16926, 10: 5777, 18: 40557, 14: 9402, 16: 23114, 8: 1718, 6: 2012, 0: 68, 4: 356, 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12344, 26: 12235, 14: 4006, 30: 5102, 8: 464, 6: 259, 10: 1369, 12: 2559, 2: 12, 0: 7, 4: 72}, ("SumOfEvens", 5, 6): {24: 17286, 28: 15274, 16: 5274, 30: 9604, 18: 8224, 26: 13565, 22: 16041, 14: 2381, 20: 9688, 10: 671, 12: 1618, 8: 212, 6: 124, 4: 29, 2: 5, 0: 4}, ("SumOfEvens", 5, 7): {26: 13349, 20: 7478, 22: 13863, 16: 3465, 30: 15365, 24: 18114, 28: 19048, 18: 6367, 14: 1478, 6: 52, 12: 973, 8: 102, 10: 330, 4: 12, 0: 3, 2: 1}, ("SumOfEvens", 5, 8): {28: 21211, 30: 22142, 26: 12500, 24: 18376, 22: 11699, 20: 5406, 18: 4912, 14: 771, 16: 2197, 12: 537, 10: 172, 6: 22, 8: 45, 4: 9, 0: 1}, ("SumOfEvens", 6, 1): {12: 13855, 8: 11527, 6: 9535, 14: 12217, 10: 13220, 18: 7641, 20: 5155, 4: 5715, 16: 10036, 2: 3110, 22: 3134, 24: 1769, 0: 1657, 26: 882, 28: 364, 32: 46, 30: 125, 34: 9, 36: 3}, ("SumOfEvens", 6, 2): {16: 12112, 14: 10495, 18: 12962, 20: 12458, 22: 10842, 4: 936, 30: 1777, 12: 8107, 10: 5781, 24: 8362, 28: 3560, 26: 5714, 8: 3286, 34: 279, 6: 1999, 0: 149, 32: 841, 2: 295, 36: 45}, ("SumOfEvens", 6, 3): {34: 1114, 26: 11930, 28: 8967, 16: 7714, 18: 10098, 22: 13809, 24: 13594, 20: 12628, 10: 1732, 12: 3009, 30: 5778, 32: 3126, 14: 5066, 8: 774, 6: 309, 36: 205, 4: 127, 2: 12, 0: 8}, ("SumOfEvens", 6, 4): {16: 4678, 26: 13991, 20: 9551, 24: 13471, 18: 6764, 32: 6534, 4: 36, 34: 3599, 28: 12906, 22: 12530, 30: 9662, 10: 774, 14: 2613, 12: 1479, 36: 987, 2: 13, 8: 287, 6: 122, 0: 3}, ("SumOfEvens", 6, 5): {32: 9788, 24: 11810, 34: 7399, 30: 12927, 26: 13874, 28: 15232, 16: 2702, 18: 4392, 20: 6604, 22: 9916, 36: 2699, 14: 1416, 12: 740, 10: 322, 6: 51, 8: 108, 4: 15, 0: 2, 2: 3}, ("SumOfEvens", 6, 6): {26: 11838, 22: 7418, 30: 15534, 34: 11679, 36: 5973, 24: 9870, 28: 15982, 20: 4214, 32: 12014, 18: 2686, 12: 322, 10: 156, 8: 52, 14: 664, 16: 1568, 6: 26, 4: 2, 2: 1, 0: 1}, ("SumOfEvens", 6, 7): {30: 17083, 28: 15301, 22: 5154, 26: 9426, 32: 13001, 20: 2576, 34: 15604, 24: 8221, 36: 10524, 18: 1673, 16: 848, 14: 336, 12: 179, 10: 53, 6: 9, 8: 11, 4: 1}, ("SumOfEvens", 6, 8): {22: 3449, 36: 16329, 26: 7209, 32: 12842, 30: 18101, 34: 18840, 28: 13662, 20: 1500, 24: 6361, 18: 984, 16: 453, 14: 154, 12: 87, 10: 22, 8: 4, 4: 1, 6: 2}, ("SumOfEvens", 7, 1): {8: 8939, 24: 3564, 16: 11578, 12: 12690, 10: 11183, 18: 9725, 4: 3653, 6: 6451, 20: 7614, 14: 12463, 30: 591, 22: 5306, 28: 1178, 26: 2087, 32: 276, 0: 780, 2: 1804, 34: 79, 38: 9, 36: 28, 42: 1, 40: 1}, ("SumOfEvens", 7, 2): {20: 11747, 22: 12101, 18: 10694, 30: 4969, 34: 1637, 12: 4933, 28: 7140, 10: 3020, 16: 9103, 14: 7121, 26: 9407, 40: 95, 32: 2990, 24: 10947, 8: 1631, 6: 866, 36: 742, 38: 279, 4: 405, 2: 118, 0: 44, 42: 11}, ("SumOfEvens", 7, 3): {28: 12644, 18: 5753, 22: 10305, 30: 10884, 24: 12043, 34: 5494, 26: 13153, 32: 8457, 20: 8013, 36: 3227, 12: 1178, 16: 3620, 14: 2216, 38: 1526, 40: 457, 42: 73, 10: 585, 8: 255, 4: 32, 6: 78, 0: 4, 2: 3}, ("SumOfEvens", 7, 4): {34: 10022, 20: 4695, 36: 6630, 38: 4042, 30: 13018, 26: 11605, 24: 9234, 22: 6948, 32: 11907, 28: 12907, 40: 1978, 10: 212, 16: 1818, 18: 3010, 42: 424, 14: 940, 12: 482, 8: 84, 6: 33, 2: 3, 4: 7, 0: 1}, ("SumOfEvens", 7, 5): {34: 13412, 36: 10366, 24: 6303, 30: 12713, 26: 8816, 40: 4734, 22: 4347, 38: 7212, 32: 13273, 28: 11561, 20: 2543, 18: 1526, 42: 1564, 14: 395, 16: 920, 12: 186, 8: 31, 10: 80, 4: 4, 6: 14}, ("SumOfEvens", 7, 6): {40: 8464, 32: 12798, 36: 13346, 28: 9389, 38: 10011, 24: 4176, 34: 15385, 30: 11291, 26: 6057, 22: 2683, 42: 3605, 20: 1359, 18: 819, 14: 148, 16: 359, 10: 32, 12: 68, 8: 4, 6: 5, 4: 1}, ("SumOfEvens", 7, 7): {34: 15613, 18: 390, 42: 7149, 36: 15702, 38: 12021, 30: 9525, 40: 12478, 32: 11106, 26: 3913, 28: 7007, 20: 681, 24: 2671, 22: 1511, 14: 69, 16: 135, 8: 2, 12: 23, 10: 3, 6: 1}, ("SumOfEvens", 7, 8): {40: 16137, 26: 2459, 36: 16970, 30: 7669, 38: 12599, 32: 9076, 42: 12085, 34: 14812, 24: 1645, 28: 5058, 22: 824, 20: 339, 18: 204, 14: 24, 16: 77, 12: 18, 10: 4}, ("SumOfEvens", 8, 1): {24: 5501, 14: 11696, 26: 3771, 28: 2435, 16: 11862, 18: 11145, 10: 8598, 32: 813, 6: 4344, 0: 373, 12: 10648, 2: 1020, 22: 7414, 20: 9463, 8: 6532, 30: 1376, 4: 2316, 38: 73, 34: 408, 36: 180, 40: 24, 42: 4, 44: 3, 46: 1}, ("SumOfEvens", 8, 2): {38: 1519, 26: 10879, 16: 6135, 20: 9772, 30: 8043, 32: 6058, 28: 9711, 18: 7865, 24: 11148, 34: 4215, 22: 10922, 10: 1536, 14: 4098, 36: 2718, 12: 2761, 8: 772, 6: 386, 42: 342, 40: 769, 4: 141, 2: 45, 44: 107, 46: 37, 0: 17, 48: 4}, ("SumOfEvens", 8, 3): {30: 12249, 28: 11561, 24: 8306, 36: 7860, 16: 1616, 40: 3315, 22: 6221, 38: 5627, 34: 10070, 18: 2630, 32: 11747, 20: 4428, 26: 10158, 42: 1741, 14: 874, 44: 669, 12: 430, 46: 173, 10: 187, 8: 65, 4: 5, 6: 39, 48: 28, 2: 1}, ("SumOfEvens", 8, 4): {40: 7009, 34: 12243, 28: 9047, 32: 12344, 38: 9623, 30: 10811, 16: 621, 42: 4569, 26: 6864, 44: 2425, 18: 1160, 36: 11307, 22: 3304, 48: 216, 24: 4882, 10: 59, 46: 1035, 20: 1982, 14: 294, 6: 8, 12: 167, 8: 26, 2: 2, 4: 1, 0: 1}, ("SumOfEvens", 8, 5): {40: 10958, 36: 12458, 30: 8178, 34: 12180, 38: 12260, 24: 2712, 42: 7933, 28: 6229, 32: 10485, 14: 108, 22: 1654, 46: 2920, 26: 4229, 20: 918, 44: 5192, 48: 814, 16: 222, 18: 467, 8: 11, 6: 3, 4: 1, 10: 17, 12: 51}, ("SumOfEvens", 8, 6): {36: 12064, 48: 2382, 26: 2376, 24: 1455, 44: 8361, 28: 3916, 40: 13920, 42: 11359, 38: 12862, 32: 7846, 46: 5912, 30: 5727, 34: 10367, 18: 208, 16: 78, 22: 753, 20: 361, 14: 30, 10: 6, 12: 15, 6: 1, 8: 1}, ("SumOfEvens", 8, 7): {34: 8619, 42: 13899, 32: 5303, 36: 10651, 30: 3778, 46: 10004, 28: 2390, 38: 12089, 40: 14999, 44: 10574, 48: 5042, 8: 3, 26: 1228, 24: 767, 22: 381, 18: 74, 20: 152, 16: 27, 12: 5, 14: 11, 10: 4}, ("SumOfEvens", 8, 8): {40: 14996, 38: 10354, 46: 13670, 42: 16214, 48: 9039, 30: 2458, 32: 3565, 36: 8996, 44: 11803, 34: 6358, 26: 611, 28: 1321, 24: 352, 22: 163, 18: 36, 20: 51, 16: 6, 14: 3, 10: 4}, ("DoubleThreesAndFours", 1, 1): {6: 16591, 8: 16660, 0: 66749}, ("DoubleThreesAndFours", 1, 2): {0: 44675, 6: 27694, 8: 27631}, ("DoubleThreesAndFours", 1, 3): {8: 35147, 6: 35261, 0: 29592}, ("DoubleThreesAndFours", 1, 4): {8: 45993, 0: 24601, 6: 29406}, ("DoubleThreesAndFours", 1, 5): {0: 20499, 8: 55081, 6: 24420}, ("DoubleThreesAndFours", 1, 6): {8: 62657, 6: 20227, 0: 17116}, ("DoubleThreesAndFours", 1, 7): {8: 68747, 6: 17060, 0: 14193}, ("DoubleThreesAndFours", 1, 8): {6: 13924, 8: 74099, 0: 11977}, ("DoubleThreesAndFours", 2, 1): {0: 44382, 6: 22191, 14: 5568, 12: 2892, 8: 22251, 16: 2716}, ("DoubleThreesAndFours", 2, 2): {14: 15403, 0: 19720, 6: 24652, 12: 7693, 8: 24891, 16: 7641}, ("DoubleThreesAndFours", 2, 3): {8: 20929, 14: 24721, 16: 12376, 0: 8765, 12: 12201, 6: 21008}, ("DoubleThreesAndFours", 2, 4): {14: 26935, 6: 14466, 16: 21136, 8: 22828, 12: 8471, 0: 6164}, ("DoubleThreesAndFours", 2, 5): {8: 22620, 14: 26822, 12: 6057, 16: 30189, 6: 10005, 0: 4307}, ("DoubleThreesAndFours", 2, 6): {14: 25326, 16: 39078, 0: 2879, 12: 4204, 8: 21466, 6: 7047}, ("DoubleThreesAndFours", 2, 7): {16: 47373, 8: 19698, 14: 23404, 6: 4637, 12: 2846, 0: 2042}, 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4244, 0: 293, 12: 1190, 18: 449}, ("DoubleThreesAndFours", 3, 8): {22: 23158, 24: 40426, 20: 4456, 16: 19616, 6: 598, 14: 7514, 8: 3029, 12: 736, 18: 289, 0: 178}, ("DoubleThreesAndFours", 4, 1): {0: 19809, 22: 3661, 6: 19538, 14: 14835, 8: 19765, 16: 7377, 12: 7513, 20: 3787, 24: 1312, 18: 1239, 28: 426, 30: 317, 32: 89, 26: 332}, ("DoubleThreesAndFours", 4, 2): {14: 18494, 12: 9152, 8: 9681, 6: 9759, 32: 582, 20: 11442, 24: 4411, 16: 9182, 22: 11245, 28: 3481, 30: 2486, 18: 3796, 26: 2317, 0: 3972}, ("DoubleThreesAndFours", 4, 3): {30: 6209, 16: 6563, 20: 15371, 26: 6250, 14: 12957, 32: 1553, 22: 15441, 18: 5181, 28: 9263, 24: 6812, 12: 6446, 6: 3580, 8: 3629, 0: 745}, ("DoubleThreesAndFours", 4, 4): {22: 18508, 14: 10057, 30: 11372, 20: 11583, 16: 7710, 24: 10280, 26: 4741, 18: 2466, 6: 1737, 28: 10883, 32: 4475, 8: 2754, 0: 371, 12: 3063}, ("DoubleThreesAndFours", 4, 5): {30: 16244, 28: 10930, 24: 14117, 14: 6844, 12: 1523, 32: 9165, 8: 1901, 6: 827, 22: 18097, 16: 7733, 0: 163, 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10836, 32: 6720, 42: 4836, 36: 12511, 40: 5366, 26: 4164, 44: 5640, 46: 3626, 34: 7926, 24: 3611, 28: 10039, 20: 3603, 6: 160, 22: 5673, 16: 1101, 48: 992, 8: 255, 12: 491, 0: 24}, ("DoubleThreesAndFours", 6, 5): {40: 7833, 28: 6985, 46: 7219, 36: 12190, 38: 14163, 34: 5449, 32: 7047, 30: 10494, 44: 8161, 24: 3099, 42: 4738, 26: 2099, 22: 3827, 48: 2739, 16: 877, 18: 244, 20: 1755, 14: 771, 0: 8, 12: 144, 8: 113, 6: 45}, ("DoubleThreesAndFours", 6, 6): {38: 16439, 44: 9477, 36: 10342, 40: 10795, 48: 5932, 30: 8697, 42: 4008, 26: 994, 46: 11631, 16: 539, 28: 4300, 22: 2383, 32: 7204, 20: 762, 34: 3427, 24: 2528, 18: 96, 14: 311, 6: 19, 8: 60, 0: 4, 12: 52}, ("DoubleThreesAndFours", 6, 7): {32: 7113, 42: 3210, 44: 9660, 46: 15581, 38: 16374, 48: 10353, 40: 13795, 30: 6708, 36: 8028, 24: 1921, 34: 1922, 20: 355, 28: 2646, 26: 437, 22: 1401, 16: 278, 14: 145, 8: 28, 18: 31, 6: 2, 12: 11, 0: 1}, ("DoubleThreesAndFours", 6, 8): {46: 18638, 30: 4988, 40: 16076, 24: 1352, 38: 15017, 48: 16432, 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81, 16: 60, 18: 9, 14: 27, 12: 5, 8: 5, 6: 2}, ("DoubleThreesAndFours", 7, 8): {56: 12116, 52: 9418, 38: 6452, 48: 14055, 32: 1809, 54: 16183, 30: 1357, 50: 3002, 36: 2363, 46: 15616, 40: 6757, 42: 1859, 44: 7554, 24: 285, 16: 30, 34: 481, 22: 175, 14: 10, 28: 379, 20: 42, 26: 55, 8: 1, 12: 1}, ("DoubleThreesAndFours", 8, 1): {24: 4614, 16: 6920, 34: 2175, 14: 13657, 30: 4504, 0: 3982, 20: 10167, 12: 6731, 22: 10162, 36: 2120, 28: 6414, 32: 2079, 18: 3314, 26: 4302, 6: 7946, 8: 7712, 44: 379, 38: 1218, 40: 633, 42: 533, 50: 59, 48: 108, 46: 204, 56: 7, 52: 39, 60: 1, 54: 15, 58: 5}, ("DoubleThreesAndFours", 8, 2): {30: 7306, 42: 5074, 28: 9769, 44: 4004, 26: 6631, 40: 4617, 12: 1685, 20: 6475, 22: 6445, 50: 1654, 36: 8364, 32: 5644, 16: 1623, 14: 3393, 46: 2396, 6: 749, 34: 8035, 24: 3639, 38: 5473, 54: 537, 18: 2090, 48: 1840, 52: 1069, 8: 735, 58: 188, 62: 29, 56: 294, 0: 161, 60: 80, 64: 1}, ("DoubleThreesAndFours", 8, 3): {44: 8078, 34: 8086, 42: 9356, 36: 8106, 38: 6904, 28: 4918, 40: 7729, 30: 4044, 32: 4752, 46: 5989, 50: 5725, 52: 4060, 48: 6119, 58: 1298, 54: 2440, 24: 1345, 22: 1657, 26: 3379, 20: 1620, 56: 1856, 18: 582, 6: 58, 14: 525, 64: 31, 62: 167, 60: 670, 8: 53, 12: 214, 16: 233, 0: 6}, ("DoubleThreesAndFours", 8, 4): {42: 8437, 48: 6657, 44: 10354, 54: 4862, 36: 7211, 34: 4515, 50: 7755, 52: 7763, 56: 3204, 60: 2271, 30: 3188, 20: 611, 46: 8005, 38: 6651, 32: 2521, 40: 5753, 58: 2769, 22: 950, 24: 729, 26: 1214, 28: 2819, 16: 151, 62: 1044, 14: 161, 18: 137, 64: 176, 12: 56, 8: 22, 0: 1, 6: 13}, ("DoubleThreesAndFours", 8, 5): {52: 10531, 60: 4703, 54: 8556, 40: 4470, 44: 9760, 36: 4863, 18: 29, 42: 5705, 50: 7637, 58: 4174, 48: 6812, 28: 1342, 56: 4701, 46: 9599, 30: 2068, 64: 852, 38: 5795, 62: 3095, 24: 376, 32: 1531, 22: 458, 34: 2192, 26: 394, 16: 60, 20: 226, 12: 12, 14: 51, 8: 6, 6: 2}, ("DoubleThreesAndFours", 8, 6): {62: 6075, 44: 7896, 50: 6139, 54: 12058, 60: 6904, 64: 2228, 58: 4472, 38: 4423, 46: 9936, 48: 6877, 52: 11631, 56: 6986, 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4: 16079, 0: 25316}, ("QuadrupleOnesAndTwos", 1, 6): {0: 21505, 8: 65258, 4: 13237}, ("QuadrupleOnesAndTwos", 1, 7): {0: 17676, 8: 71224, 4: 11100}, ("QuadrupleOnesAndTwos", 1, 8): {0: 14971, 8: 75706, 4: 9323}, ("QuadrupleOnesAndTwos", 2, 1): {0: 44566, 4: 22273, 8: 24842, 16: 2834, 12: 5485}, ("QuadrupleOnesAndTwos", 2, 2): {0: 19963, 12: 15172, 16: 7713, 4: 24890, 8: 32262}, ("QuadrupleOnesAndTwos", 2, 3): {0: 13766, 8: 34907, 16: 15630, 4: 17158, 12: 18539}, ("QuadrupleOnesAndTwos", 2, 4): {8: 34465, 12: 19108, 16: 24903, 0: 9543, 4: 11981}, ("QuadrupleOnesAndTwos", 2, 5): {16: 34144, 4: 8302, 8: 32470, 12: 18612, 0: 6472}, ("QuadrupleOnesAndTwos", 2, 6): {16: 42762, 8: 29716, 12: 17216, 0: 4569, 4: 5737}, ("QuadrupleOnesAndTwos", 2, 7): {12: 15756, 16: 50635, 8: 26489, 4: 3974, 0: 3146}, ("QuadrupleOnesAndTwos", 2, 8): {12: 14167, 16: 57266, 0: 2265, 8: 23578, 4: 2724}, ("QuadrupleOnesAndTwos", 3, 1): {12: 11557, 0: 29440, 8: 27747, 4: 22574, 16: 6892, 24: 459, 20: 1331}, ("QuadrupleOnesAndTwos", 3, 2): {8: 26434, 0: 8857, 12: 22986, 4: 16295, 16: 16799, 24: 2148, 20: 6481}, ("QuadrupleOnesAndTwos", 3, 3): {20: 11167, 12: 21685, 4: 9447, 0: 5063, 16: 24084, 8: 22255, 24: 6299}, ("QuadrupleOnesAndTwos", 3, 4): {24: 12448, 4: 5531, 8: 17681, 12: 18400, 16: 28524, 20: 14552, 0: 2864}, ("QuadrupleOnesAndTwos", 3, 5): {16: 30427, 24: 19843, 12: 14755, 8: 13478, 20: 16602, 0: 1676, 4: 3219}, ("QuadrupleOnesAndTwos", 3, 6): {24: 27625, 12: 11326, 16: 31125, 4: 1758, 8: 10259, 20: 16984, 0: 923}, ("QuadrupleOnesAndTwos", 3, 7): {24: 35548, 12: 8769, 16: 29367, 20: 17085, 0: 586, 8: 7543, 4: 1102}, ("QuadrupleOnesAndTwos", 3, 8): {24: 43483, 20: 16170, 12: 6388, 16: 27741, 8: 5277, 4: 607, 0: 334}, ("QuadrupleOnesAndTwos", 4, 1): {12: 16126, 20: 3979, 0: 19691, 8: 27288, 4: 19657, 16: 11167, 24: 1705, 28: 307, 32: 80}, ("QuadrupleOnesAndTwos", 4, 2): {4: 9776, 8: 19015, 16: 20986, 12: 22094, 0: 4023, 20: 13805, 24: 7340, 28: 2393, 32: 568}, ("QuadrupleOnesAndTwos", 4, 3): {12: 16853, 4: 4705, 0: 1848, 16: 22831, 8: 12411, 28: 5902, 20: 18400, 32: 2570, 24: 14480}, ("QuadrupleOnesAndTwos", 4, 4): {16: 21220, 24: 20615, 12: 12063, 20: 19266, 4: 2291, 0: 930, 32: 6088, 8: 8084, 28: 9443}, ("QuadrupleOnesAndTwos", 4, 5): {24: 25474, 20: 17910, 32: 11370, 28: 12864, 16: 18209, 12: 7649, 0: 424, 8: 4963, 4: 1137}, ("QuadrupleOnesAndTwos", 4, 6): {32: 18156, 24: 28256, 20: 15416, 12: 4931, 28: 14675, 16: 14796, 8: 3048, 4: 532, 0: 190}, ("QuadrupleOnesAndTwos", 4, 7): {20: 12289, 12: 3189, 28: 16052, 32: 25512, 24: 29181, 16: 11547, 8: 1871, 4: 244, 0: 115}, ("QuadrupleOnesAndTwos", 4, 8): {24: 28785, 32: 33333, 16: 8888, 28: 16180, 12: 1909, 20: 9679, 8: 1062, 4: 114, 0: 50}, ("QuadrupleOnesAndTwos", 5, 1): {0: 13112, 8: 24718, 4: 16534, 12: 18558, 16: 14547, 20: 7055, 24: 3810, 28: 1194, 32: 390, 36: 66, 40: 16}, ("QuadrupleOnesAndTwos", 5, 2): {4: 5529, 20: 18149, 12: 17687, 24: 12849, 16: 20808, 28: 6991, 32: 2980, 36: 871, 8: 12216, 0: 1764, 40: 156}, ("QuadrupleOnesAndTwos", 5, 3): {36: 2946, 24: 18643, 32: 7960, 20: 19002, 28: 12827, 12: 11074, 16: 17322, 8: 6362, 4: 2161, 0: 719, 40: 984}, ("QuadrupleOnesAndTwos", 5, 4): {32: 14218, 40: 2982, 28: 16398, 4: 847, 24: 20749, 16: 12913, 20: 15867, 36: 5931, 12: 6581, 8: 3209, 0: 305}, ("QuadrupleOnesAndTwos", 5, 5): {40: 6767, 24: 20010, 36: 9319, 20: 12037, 16: 8863, 32: 19789, 28: 17568, 4: 340, 8: 1729, 12: 3480, 0: 98}, ("QuadrupleOnesAndTwos", 5, 6): {24: 17830, 36: 12115, 40: 11918, 20: 8436, 32: 24246, 16: 5734, 28: 16864, 12: 1793, 4: 156, 8: 870, 0: 38}, ("QuadrupleOnesAndTwos", 5, 7): {32: 27238, 36: 14094, 28: 14969, 24: 14936, 40: 17918, 20: 5684, 16: 3712, 12: 924, 8: 445, 4: 51, 0: 29}, ("QuadrupleOnesAndTwos", 5, 8): {28: 12517, 36: 15339, 32: 28388, 40: 25046, 24: 11929, 16: 2344, 20: 3690, 12: 481, 8: 241, 4: 21, 0: 4}, ("QuadrupleOnesAndTwos", 6, 1): {4: 13011, 8: 21357, 24: 6249, 0: 8646, 16: 17008, 12: 19385, 20: 10409, 28: 2502, 36: 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5, 3): {30: 53966, 0: 46034}, ("OneTwoOneConsecutive", 5, 4): {0: 34983, 30: 65017}, ("OneTwoOneConsecutive", 5, 5): {0: 28056, 30: 71944}, ("OneTwoOneConsecutive", 5, 6): {30: 76850, 0: 23150}, ("OneTwoOneConsecutive", 5, 7): {30: 80423, 0: 19577}, ("OneTwoOneConsecutive", 5, 8): {0: 17613, 30: 82387}, ("OneTwoOneConsecutive", 6, 1): {0: 71928, 30: 28072}, ("OneTwoOneConsecutive", 6, 2): {0: 40724, 30: 59276}, ("OneTwoOneConsecutive", 6, 3): {30: 73277, 0: 26723}, ("OneTwoOneConsecutive", 6, 4): {0: 19685, 30: 80315}, ("OneTwoOneConsecutive", 6, 5): {30: 84540, 0: 15460}, ("OneTwoOneConsecutive", 6, 6): {30: 87474, 0: 12526}, ("OneTwoOneConsecutive", 6, 7): {30: 89986, 0: 10014}, ("OneTwoOneConsecutive", 6, 8): {30: 91749, 0: 8251}, ("OneTwoOneConsecutive", 7, 1): {0: 55544, 30: 44456}, ("OneTwoOneConsecutive", 7, 2): {30: 75160, 0: 24840}, ("OneTwoOneConsecutive", 7, 3): {30: 84898, 0: 15102}, ("OneTwoOneConsecutive", 7, 4): {30: 89459, 0: 10541}, ("OneTwoOneConsecutive", 7, 5): {30: 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("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): {20: 55293, 0: 44707}, ("ThreeDistinctDice", 3, 2): {0: 15078, 20: 84922}, ("ThreeDistinctDice", 3, 3): {20: 94944, 0: 5056}, ("ThreeDistinctDice", 3, 4): {0: 1688, 20: 98312}, ("ThreeDistinctDice", 3, 5): {20: 99484, 0: 516}, ("ThreeDistinctDice", 3, 6): {20: 99818, 0: 182}, ("ThreeDistinctDice", 3, 7): {20: 99944, 0: 56}, ("ThreeDistinctDice", 3, 8): {20: 99985, 0: 15}, ("ThreeDistinctDice", 4, 1): {20: 83279, 0: 16721}, ("ThreeDistinctDice", 4, 2): {20: 98174, 0: 1826}, ("ThreeDistinctDice", 4, 3): {20: 99797, 0: 203}, ("ThreeDistinctDice", 4, 4): {20: 99982, 0: 18}, ("ThreeDistinctDice", 4, 5): {20: 99997, 0: 3}, ("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): {20: 99764, 0: 236}, ("ThreeDistinctDice", 5, 3): {20: 99988, 0: 12}, ("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): {20: 98008, 0: 1992}, ("ThreeDistinctDice", 6, 2): {20: 99979, 0: 21}, ("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): {20: 99308, 0: 692}, ("ThreeDistinctDice", 7, 2): {20: 99996, 0: 4}, ("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): {20: 99757, 0: 243}, ("ThreeDistinctDice", 8, 2): {20: 99999, 0: 1}, ("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: 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44431}, ("TwoPair", 6, 2): {30: 82817, 0: 17183}, ("TwoPair", 6, 3): {30: 93241, 0: 6759}, ("TwoPair", 6, 4): {30: 97438, 0: 2562}, ("TwoPair", 6, 5): {30: 99052, 0: 948}, ("TwoPair", 6, 6): {30: 99625, 0: 375}, ("TwoPair", 6, 7): {30: 99862, 0: 138}, ("TwoPair", 6, 8): {30: 99943, 0: 57}, ("TwoPair", 7, 1): {0: 19888, 30: 80112}, ("TwoPair", 7, 2): {30: 96065, 0: 3935}, ("TwoPair", 7, 3): {30: 99199, 0: 801}, ("TwoPair", 7, 4): {30: 99825, 0: 175}, ("TwoPair", 7, 5): {30: 99969, 0: 31}, ("TwoPair", 7, 6): {30: 99993, 0: 7}, ("TwoPair", 7, 7): {30: 99998, 0: 2}, ("TwoPair", 7, 8): {30: 100000}, ("TwoPair", 8, 1): {30: 93209, 0: 6791}, ("TwoPair", 8, 2): {30: 99412, 0: 588}, ("TwoPair", 8, 3): {30: 99939, 0: 61}, ("TwoPair", 8, 4): {30: 99994, 0: 6}, ("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): {40: 58415, 0: 41585}, ("TwoOneTwoConsecutive", 5, 8): {40: 65048, 0: 34952}, ("TwoOneTwoConsecutive", 6, 1): {0: 93465, 40: 6535}, ("TwoOneTwoConsecutive", 6, 2): {40: 26584, 0: 73416}, ("TwoOneTwoConsecutive", 6, 3): {40: 45959, 0: 54041}, ("TwoOneTwoConsecutive", 6, 4): {40: 61465, 0: 38535}, ("TwoOneTwoConsecutive", 6, 5): {40: 72634, 0: 27366}, ("TwoOneTwoConsecutive", 6, 6): {0: 18924, 40: 81076}, ("TwoOneTwoConsecutive", 6, 7): {40: 86613, 0: 13387}, ("TwoOneTwoConsecutive", 6, 8): {40: 90866, 0: 9134}, ("TwoOneTwoConsecutive", 7, 1): {0: 84168, 40: 15832}, ("TwoOneTwoConsecutive", 7, 2): {0: 52659, 40: 47341}, ("TwoOneTwoConsecutive", 7, 3): {40: 69565, 0: 30435}, ("TwoOneTwoConsecutive", 7, 4): {40: 82523, 0: 17477}, ("TwoOneTwoConsecutive", 7, 5): {40: 90218, 0: 9782}, ("TwoOneTwoConsecutive", 7, 6): {40: 94684, 0: 5316}, ("TwoOneTwoConsecutive", 7, 7): {40: 97005, 0: 2995}, ("TwoOneTwoConsecutive", 7, 8): {40: 98311, 0: 1689}, ("TwoOneTwoConsecutive", 8, 1): {0: 71089, 40: 28911}, ("TwoOneTwoConsecutive", 8, 2): {0: 33784, 40: 66216}, ("TwoOneTwoConsecutive", 8, 3): {40: 85180, 0: 14820}, ("TwoOneTwoConsecutive", 8, 4): {40: 93735, 0: 6265}, ("TwoOneTwoConsecutive", 8, 5): {40: 97400, 0: 2600}, ("TwoOneTwoConsecutive", 8, 6): {40: 98845, 0: 1155}, ("TwoOneTwoConsecutive", 8, 7): {40: 99513, 0: 487}, ("TwoOneTwoConsecutive", 8, 8): {40: 99810, 0: 190}, ("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): {25: 31980, 0: 68020}, ("FiveDistinctDice", 5, 3): {0: 47692, 25: 52308}, ("FiveDistinctDice", 5, 4): {0: 32383, 25: 67617}, ("FiveDistinctDice", 5, 5): {25: 78369, 0: 21631}, ("FiveDistinctDice", 5, 6): {25: 85634, 0: 14366}, ("FiveDistinctDice", 5, 7): {25: 90432, 0: 9568}, ("FiveDistinctDice", 5, 8): {0: 6360, 25: 93640}, ("FiveDistinctDice", 6, 1): {0: 75051, 25: 24949}, ("FiveDistinctDice", 6, 2): {25: 61591, 0: 38409}, ("FiveDistinctDice", 6, 3): {25: 82495, 0: 17505}, ("FiveDistinctDice", 6, 4): {25: 92138, 0: 7862}, ("FiveDistinctDice", 6, 5): {25: 96462, 0: 3538}, ("FiveDistinctDice", 6, 6): {25: 98355, 0: 1645}, ("FiveDistinctDice", 6, 7): {25: 99286, 0: 714}, ("FiveDistinctDice", 6, 8): {25: 99659, 0: 341}, ("FiveDistinctDice", 7, 1): {0: 58588, 25: 41412}, ("FiveDistinctDice", 7, 2): {25: 80513, 0: 19487}, ("FiveDistinctDice", 7, 3): {25: 93957, 0: 6043}, ("FiveDistinctDice", 7, 4): {25: 98201, 0: 1799}, ("FiveDistinctDice", 7, 5): {25: 99456, 0: 544}, ("FiveDistinctDice", 7, 6): {25: 99831, 0: 169}, ("FiveDistinctDice", 7, 7): {25: 99941, 0: 59}, ("FiveDistinctDice", 7, 8): {25: 99989, 0: 11}, ("FiveDistinctDice", 8, 1): {0: 43586, 25: 56414}, ("FiveDistinctDice", 8, 2): {25: 90385, 0: 9615}, ("FiveDistinctDice", 8, 3): {25: 98056, 0: 1944}, ("FiveDistinctDice", 8, 4): {25: 99617, 0: 383}, ("FiveDistinctDice", 8, 5): {25: 99923, 0: 77}, ("FiveDistinctDice", 8, 6): {25: 99982, 0: 18}, ("FiveDistinctDice", 8, 7): {25: 99997, 0: 3}, ("FiveDistinctDice", 8, 8): {25: 99998, 0: 2}, ("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): {50: 34203, 0: 65797}, ("FourAndFiveFullHouse", 5, 6): {50: 45452, 0: 54548}, ("FourAndFiveFullHouse", 5, 7): {50: 55102, 0: 44898}, ("FourAndFiveFullHouse", 5, 8): {50: 63119, 0: 36881}, ("FourAndFiveFullHouse", 6, 1): {0: 98841, 50: 1159}, ("FourAndFiveFullHouse", 6, 2): {0: 88680, 50: 11320}, ("FourAndFiveFullHouse", 6, 3): {50: 29785, 0: 70215}, ("FourAndFiveFullHouse", 6, 4): {50: 49199, 0: 50801}, ("FourAndFiveFullHouse", 6, 5): {50: 64244, 0: 35756}, ("FourAndFiveFullHouse", 6, 6): {50: 75302, 0: 24698}, ("FourAndFiveFullHouse", 6, 7): {50: 82855, 0: 17145}, ("FourAndFiveFullHouse", 6, 8): {50: 88154, 0: 11846}, ("FourAndFiveFullHouse", 7, 1): {0: 97090, 50: 2910}, ("FourAndFiveFullHouse", 7, 2): {50: 22560, 0: 77440}, ("FourAndFiveFullHouse", 7, 3): {50: 48628, 0: 51372}, ("FourAndFiveFullHouse", 7, 4): {50: 69434, 0: 30566}, ("FourAndFiveFullHouse", 7, 5): {50: 82134, 0: 17866}, ("FourAndFiveFullHouse", 7, 6): {50: 89479, 0: 10521}, ("FourAndFiveFullHouse", 7, 7): {50: 93796, 0: 6204}, ("FourAndFiveFullHouse", 7, 8): {50: 96330, 0: 3670}, ("FourAndFiveFullHouse", 8, 1): {0: 94172, 50: 5828}, ("FourAndFiveFullHouse", 8, 2): {0: 64693, 50: 35307}, ("FourAndFiveFullHouse", 8, 3): {0: 35293, 50: 64707}, ("FourAndFiveFullHouse", 8, 4): {50: 82251, 0: 17749}, ("FourAndFiveFullHouse", 8, 5): {50: 91260, 0: 8740}, ("FourAndFiveFullHouse", 8, 6): {50: 95450, 0: 4550}, ("FourAndFiveFullHouse", 8, 7): {50: 97782, 0: 2218}, ("FourAndFiveFullHouse", 8, 8): {50: 98916, 0: 1084}} \ No newline at end of file diff --git a/worlds/yachtdice/__init__.py b/worlds/yachtdice/__init__.py index c24e8ac73f..adb3d6ee9c 100644 --- a/worlds/yachtdice/__init__.py +++ b/worlds/yachtdice/__init__.py @@ -1,12 +1,14 @@ -from BaseClasses import Region, Entrance, Item, Tutorial -from .Items import YachtDiceItem, item_table, ITEM_GROUPS -from .Locations import YachtDiceLocation, all_locations, ini_locations -from .Options import YachtDiceOptions -from .Rules import set_yacht_rules, set_yacht_completion_rules, diceSimulation -from ..AutoWorld import World, WebWorld import math import logging +from BaseClasses import Region, Entrance, Item, Tutorial +from .Items import YachtDiceItem, item_table, item_groups +from .Locations import YachtDiceLocation, all_locations, ini_locations +from .Options import YachtDiceOptions +from .Rules import set_yacht_rules, set_yacht_completion_rules, dice_simulation +from ..AutoWorld import World, WebWorld + + class YachtDiceWeb(WebWorld): tutorials = [Tutorial( "Multiworld Setup Guide", @@ -24,7 +26,7 @@ class YachtDiceWorld(World): where you cast your dice to chart a course for high scores, unlocking valuable treasures along the way. Discover more dice, extra rolls, multipliers, - and unlockable categories to navigate the game's depths. + and unlockable categories to navigate the depths of the game. Roll your way to victory by reaching the target score! """ game: str = "Yacht Dice" @@ -36,7 +38,7 @@ class YachtDiceWorld(World): location_name_to_id = {name: data.id for name, data in all_locations.items()} - item_name_groups = ITEM_GROUPS + item_name_groups = item_groups ap_world_version = "2.0.2" @@ -56,12 +58,12 @@ class YachtDiceWorld(World): #number of dice and rolls in the pull ind_dice_rolls = self.options.minimal_number_of_dice_and_rolls.value - numDice = [0, 2, 5, 5, 6, 7, 8][ind_dice_rolls] - numRolls = [0, 2, 3, 5, 4, 3, 2][ind_dice_rolls] + num_of_dice = [0, 2, 5, 5, 6, 7, 8][ind_dice_rolls] + num_of_rolls = [0, 2, 3, 5, 4, 3, 2][ind_dice_rolls] #amount of dice and roll fragments needed to get a dice or roll - amDiceF = self.options.number_of_dice_fragments_per_dice.value - amRollsF = self.options.number_of_roll_fragments_per_roll.value + frags_per_dice = self.options.number_of_dice_fragments_per_dice.value + frags_per_roll = self.options.number_of_roll_fragments_per_roll.value #count number of plando items not from pool, we need extra locations for them self.extra_plando_items = 0 @@ -117,18 +119,18 @@ class YachtDiceWorld(World): self.precollected += ["Dice"] #if one fragment per dice, just add "Dice" objects - if amDiceF == 1: - self.itempool += ["Dice"] * (numDice-1) #minus one because one is in start inventory + if frags_per_dice == 1: + self.itempool += ["Dice"] * (num_of_dice-1) #minus one because one is in start inventory else: - self.itempool += ["Dice"] #always add a full dice to make generation easier (will be 'early') - self.itempool += ["Dice Fragment"] * (amDiceF * (numDice-2)) + self.itempool += ["Dice"] #always add a full dice to make generation easier (will be early) + self.itempool += ["Dice Fragment"] * (frags_per_dice * (num_of_dice-2)) #if one fragment per roll, just add "Roll" objects - if amRollsF == 1: - self.itempool += ["Roll"] * (numRolls-1) #minus one because one is in start inventory + if frags_per_roll == 1: + self.itempool += ["Roll"] * (num_of_rolls-1) #minus one because one is in start inventory else: - self.itempool += ["Roll"] #always add a full roll to make generation easier (will be 'early') - self.itempool += ["Roll Fragment"] * (amRollsF * (numRolls-2)) + self.itempool += ["Roll"] #always add a full roll to make generation easier (will be early) + self.itempool += ["Roll Fragment"] * (frags_per_roll * (num_of_rolls-2)) already_items = len(self.itempool) + self.extra_plando_items @@ -138,7 +140,7 @@ class YachtDiceWorld(World): else: extraPercentage = 0.7 - extraLocationsNeeded = max(10, math.ceil(already_items * extraPercentage)) + extra_locations_needed = max(10, math.ceil(already_items * extraPercentage)) self.max_score = self.options.score_for_last_check.value self.goal_score = min(self.max_score, self.options.score_for_goal.value) @@ -153,25 +155,25 @@ class YachtDiceWorld(World): ] #if the player wants extra rolls or dice, fill the pool with fragments until close to an extra roll/dice - if weights[0] > 0 and amDiceF > 1: - self.itempool += ["Dice Fragment"] * (amDiceF - 1) - if weights[1] > 0 and amRollsF > 1: - self.itempool += ["Roll Fragment"] * (amRollsF - 1) + if weights[0] > 0 and frags_per_dice > 1: + self.itempool += ["Dice Fragment"] * (frags_per_dice - 1) + if weights[1] > 0 and frags_per_roll > 1: + self.itempool += ["Roll Fragment"] * (frags_per_roll - 1) #calibrate the weights, since the impact of each of the items is different - weights[0] = weights[0] / 5 * amDiceF - weights[1] = weights[1] / 5 * amRollsF + weights[0] = weights[0] / 5 * frags_per_dice + weights[1] = weights[1] / 5 * frags_per_roll extraPointsAdded = 0 - while diceSimulation(self.itempool + self.precollected, "state_is_a_list", self.options) < 1000: - allitems = self.itempool + self.precollected - dice_fragments_in_pool = allitems.count("Dice") * amDiceF + allitems.count("Dice Fragment") - if dice_fragments_in_pool + 1 >= 9 * amDiceF: - weights[0] = 0 #can't have 9 dice - roll_fragments_in_pool = allitems.count("Roll") * amRollsF + allitems.count("Roll Fragment") - if roll_fragments_in_pool + 1 >= 6 * amRollsF: - weights[1] = 0 # can't have 6 rolls + while dice_simulation(self.itempool + self.precollected, "state_is_a_list", self.options) < 1000: + all_items = self.itempool + self.precollected + dice_fragments_in_pool = all_items.count("Dice") * frags_per_dice + all_items.count("Dice Fragment") + if dice_fragments_in_pool + 1 >= 9 * frags_per_dice: + weights[0] = 0 #cannot have 9 dice + roll_fragments_in_pool = all_items.count("Roll") * frags_per_roll + all_items.count("Roll Fragment") + if roll_fragments_in_pool + 1 >= 6 * frags_per_roll: + weights[1] = 0 # cannot have 6 rolls if extraPointsAdded > 300: weights[5] = 0 @@ -185,17 +187,17 @@ class YachtDiceWorld(World): which_item_to_add = self.multiworld.random.choices([0,1,2,3,4,5], weights = weights)[0] if which_item_to_add == 0: - if amDiceF == 1: + if frags_per_dice == 1: self.itempool += ["Dice"] else: self.itempool += ["Dice Fragment"] - weights[0] /= (1 + amDiceF) + weights[0] /= (1 + frags_per_dice) elif which_item_to_add == 1: - if amRollsF == 1: + if frags_per_roll == 1: self.itempool += ["Roll"] else: self.itempool += ["Roll Fragment"] - weights[1] /= (1 + amRollsF) + weights[1] /= (1 + frags_per_roll) elif which_item_to_add == 2: self.itempool += ["Fixed Score Multiplier"] weights[2] /= 1.05 @@ -240,9 +242,9 @@ class YachtDiceWorld(World): #and counts number of plando items *not* from pool. already_items = len(self.itempool) + self.extra_plando_items + 1 #+1 because of Victory item - self.number_of_locations = already_items + extraLocationsNeeded + self.number_of_locations = already_items + extra_locations_needed - # From here, we'll count the number of items in the self.itempool, and add items to the pool, + # From here, we will count the number of items in the self.itempool, and add items to the pool, # making sure not to exceed the number of locations. #first, we flood the entire pool with extra points (useful), if that setting is chosen. @@ -282,7 +284,7 @@ class YachtDiceWorld(World): self.itempool += ["Fun Fact"] * min(self.number_of_locations - already_items, 5) #finally, add some "Good RNG" and "Bad RNG" items to complete the item pool - #these items are filler and don't do anything. + #these items are filler and do not do anything. #probability of Good and Bad rng, based on difficulty for fun :) p = 1.1 - 0.25 * self.options.game_difficulty.value @@ -294,7 +296,7 @@ class YachtDiceWorld(World): k=self.number_of_locations - already_items ) - #we're done adding items. Now because of the last step, number of items should be number of locations + #we are done adding items. Now because of the last step, number of items should be number of locations already_items = len(self.itempool) + self.extra_plando_items + 1 if already_items != self.number_of_locations: raise Exception(f"[Yacht Dice] Number in self.itempool is not number of locations " @@ -345,13 +347,13 @@ class YachtDiceWorld(World): set_yacht_rules(self.multiworld, self.player, self.options) set_yacht_completion_rules(self.multiworld, self.player) - maxScoreWithItems = diceSimulation(self.multiworld.get_all_state(False), self.player, self.options) + maxScoreWithItems = dice_simulation(self.multiworld.get_all_state(False), self.player, self.options) if self.goal_score > maxScoreWithItems: raise Exception("In Yacht Dice, with all items in the pool, it is impossible to get to the goal.") def pre_fill(self): - #in the pre_fill, make sure one dice and one roll is early, so that you'll have 2 dice and 2 rolls soon + #in the pre_fill, make sure one dice and one roll is early, so that you will have 2 dice and 2 rolls soon self.multiworld.early_items[self.player]["Dice"] = 1 self.multiworld.early_items[self.player]["Roll"] = 1 diff --git a/worlds/yachtdice/docs/setup_en.md b/worlds/yachtdice/docs/setup_en.md index f55de8bccb..671e5ea830 100644 --- a/worlds/yachtdice/docs/setup_en.md +++ b/worlds/yachtdice/docs/setup_en.md @@ -10,7 +10,7 @@ Open the Yacht Dice website. There are two options: - Download the latest release from [Yacht Dice Releases](https://github.com/spinerak/ArchipelagoYachtDice/releases) and unzip the Website.zip. Then open player.html in your browser. - Cruise over to the [Yacht Dice website](https://yacht-dice-ap.netlify.app/). This also works on mobile. If the website is not available, use the first option. -The website has an offline play option to try out the game without having to generate a game first. +Both options have an "offline" play option to try out the game without having to generate a game first. ## Play with Archipelago