diff --git a/worlds/yachtdice/Rules.py b/worlds/yachtdice/Rules.py
index 3807e2116d..377ec7be70 100644
--- a/worlds/yachtdice/Rules.py
+++ b/worlds/yachtdice/Rules.py
@@ -20,22 +20,22 @@ category_mappings = {
     "Category Large Straight": "LargeStraight",
     "Category Full House": "FullHouse",
     "Category Yacht": "Yacht",
-    "Category Distincts": "Distincts",
-    "Category Two times Ones": "TwoTimesOnes",
-    "Category Half of Sixes": "HalfOfSixes",
-    "Category Twos and Threes": "TwosAndThrees",
-    "Category Sum of Odds": "SumOfOdds",
-    "Category Sum of Evens": "SumOfEvens",
-    "Category Double Threes and Fours": "DoubleThreesAndFours",
-    "Category Quadruple Ones and Twos": "QuadrupleOnesAndTwos",
-    "Category Micro Straight": "MicroStraight",
-    "Category Three Odds": "ThreeOdds",
-    "Category 1-2-1 Consecutive": "OneTwoOneConsecutive",
-    "Category Three Distinct Dice": "ThreeDistinctDice",
-    "Category Two Pair": "TwoPair",
-    "Category 2-1-2 Consecutive": "TwoOneTwoConsecutive",
-    "Category Five Distinct Dice": "FiveDistinctDice",
-    "Category 4&5 Full House": "FourAndFiveFullHouse"
+    "Category Distincts": "Ones",
+    "Category Two times Ones": "Twos",
+    "Category Half of Sixes": "Threes",
+    "Category Twos and Threes": "Sixes",
+    "Category Sum of Odds": "Fives",
+    "Category Sum of Evens": "Sixes",
+    "Category Double Threes and Fours": "Choice",
+    "Category Quadruple Ones and Twos": "Choice",
+    "Category Micro Straight": "Pair",
+    "Category Three Odds": "ThreeOfAKind",
+    "Category 1-2-1 Consecutive": "FourOfAKind",
+    "Category Three Distinct Dice": "TinyStraight",
+    "Category Two Pair": "SmallStraight",
+    "Category 2-1-2 Consecutive": "LargeStraight",
+    "Category Five Distinct Dice": "FullHouse",
+    "Category 4&5 Full House": "Yacht"
 }
 
 #This class adds logic to the apworld.
diff --git a/worlds/yachtdice/YachtWeights.py b/worlds/yachtdice/YachtWeights.py
index 88d5cca592..b9939d8e11 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: 14198, 4: 29216, 12: 1104, 6: 25677, 0: 5420, 2: 19164, 10: 5089, 14: 127, 16: 5}, ("Twos", 8, 3): {4: 18793, 12: 5201, 6: 27054, 10: 14462, 8: 24712, 2: 7289, 14: 1109, 0: 1271, 16: 109}, ("Twos", 8, 4): {8: 27389, 12: 12609, 10: 23232, 4: 9310, 6: 20242, 14: 3815, 16: 514, 2: 2604, 0: 285}, ("Twos", 8, 5): {10: 27882, 12: 20768, 16: 1604, 6: 12669, 8: 23322, 14: 8692, 4: 4184, 0: 58, 2: 821}, ("Twos", 8, 6): {8: 17148, 12: 27048, 10: 27398, 14: 15513, 6: 6992, 16: 3860, 2: 251, 4: 1774, 0: 16}, ("Twos", 8, 7): {8: 11479, 10: 23675, 6: 3547, 14: 22454, 12: 30829, 16: 7275, 4: 667, 2: 71, 0: 3}, ("Twos", 8, 8): {10: 18697, 14: 28983, 12: 31310, 16: 11977, 4: 286, 8: 6980, 6: 1746, 2: 21}, ("Threes", 0, 0): {0: 100000}, ("Threes", 0, 1): {0: 100000}, ("Threes", 0, 2): {0: 100000}, ("Threes", 0, 3): {0: 100000}, ("Threes", 0, 4): {0: 100000}, ("Threes", 0, 5): {0: 100000}, ("Threes", 0, 6): {0: 100000}, ("Threes", 0, 7): {0: 100000}, ("Threes", 0, 8): {0: 100000}, ("Threes", 1, 0): {0: 100000}, ("Threes", 1, 1): {0: 83343, 3: 16657}, ("Threes", 1, 2): {0: 69569, 3: 30431}, ("Threes", 1, 3): {0: 57872, 3: 42128}, ("Threes", 1, 4): {3: 51919, 0: 48081}, ("Threes", 1, 5): {0: 40271, 3: 59729}, ("Threes", 1, 6): {3: 66799, 0: 33201}, ("Threes", 1, 7): {3: 72097, 0: 27903}, ("Threes", 1, 8): {3: 76760, 0: 23240}, ("Threes", 2, 0): {0: 100000}, ("Threes", 2, 1): {0: 69419, 6: 2783, 3: 27798}, ("Threes", 2, 2): {0: 48202, 3: 42590, 6: 9208}, ("Threes", 2, 3): {6: 17775, 0: 33376, 3: 48849}, ("Threes", 2, 4): {3: 49810, 6: 26914, 0: 23276}, ("Threes", 2, 5): {6: 36190, 3: 47718, 0: 16092}, ("Threes", 2, 6): {6: 44253, 3: 44515, 0: 11232}, ("Threes", 2, 7): {6: 51952, 3: 40459, 0: 7589}, ("Threes", 2, 8): {3: 35804, 6: 58749, 0: 5447}, ("Threes", 3, 0): {0: 100000}, ("Threes", 3, 1): {0: 57964, 6: 6868, 3: 34701, 9: 467}, ("Threes", 3, 2): {3: 44263, 0: 33637, 6: 19213, 9: 2887}, ("Threes", 3, 3): {3: 42382, 6: 30676, 0: 19520, 9: 7422}, ("Threes", 3, 4): {3: 35772, 6: 39042, 0: 11265, 9: 13921}, ("Threes", 3, 5): {3: 28916, 9: 21404, 6: 43261, 0: 6419}, ("Threes", 3, 6): {3: 22496, 9: 29306, 6: 44388, 0: 3810}, ("Threes", 3, 7): {6: 43720, 9: 37231, 3: 16875, 0: 2174}, ("Threes", 3, 8): {9: 45070, 6: 41222, 3: 12471, 0: 1237}, ("Threes", 4, 0): {0: 100000}, ("Threes", 4, 1): {3: 38786, 0: 48121, 9: 1483, 6: 11540, 12: 70}, ("Threes", 4, 2): {3: 40989, 0: 23296, 6: 26998, 9: 7851, 12: 866}, ("Threes", 4, 3): {3: 32653, 12: 3183, 6: 35710, 9: 17221, 0: 11233}, ("Threes", 4, 4): {9: 26734, 6: 37468, 3: 23270, 12: 7065, 0: 5463}, ("Threes", 4, 5): {6: 34539, 9: 34635, 3: 15496, 12: 12639, 0: 2691}, ("Threes", 4, 6): {12: 19732, 9: 39190, 6: 29811, 3: 10046, 0: 1221}, ("Threes", 4, 7): {0: 599, 3: 6322, 6: 24420, 12: 27045, 9: 41614}, ("Threes", 4, 8): {12: 34736, 9: 42236, 6: 18843, 3: 3876, 0: 309}, ("Threes", 5, 0): {0: 100000}, ("Threes", 5, 1): {0: 40183, 3: 40377, 6: 16039, 9: 3046, 12: 336, 15: 19}, ("Threes", 5, 2): {3: 35494, 0: 16197, 6: 30937, 9: 13946, 12: 3139, 15: 287}, ("Threes", 5, 3): {3: 23394, 6: 34432, 9: 25239, 15: 1325, 12: 9027, 0: 6583}, ("Threes", 5, 4): {6: 30134, 9: 32371, 12: 17169, 0: 2636, 3: 14072, 15: 3618}, ("Threes", 5, 5): {6: 23010, 3: 7804, 9: 34811, 12: 25702, 15: 7598, 0: 1075}, ("Threes", 5, 6): {9: 32809, 12: 32892, 6: 16654, 3: 4234, 15: 12993, 0: 418}, ("Threes", 5, 7): {6: 11416, 12: 37604, 15: 19543, 9: 29072, 3: 2203, 0: 162}, ("Threes", 5, 8): {9: 24603, 15: 26464, 12: 40262, 6: 7425, 3: 1175, 0: 71}, ("Threes", 6, 0): {0: 100000}, ("Threes", 6, 1): {0: 33473, 6: 20151, 3: 40175, 9: 5369, 12: 775, 15: 55, 18: 2}, ("Threes", 6, 2): {3: 29592, 9: 19287, 0: 11147, 6: 32630, 12: 6160, 15: 1102, 18: 82}, ("Threes", 6, 3): {12: 15888, 9: 29006, 3: 16528, 0: 3628, 6: 29814, 15: 4565, 18: 571}, ("Threes", 6, 4): {9: 30953, 15: 10810, 18: 1919, 6: 21987, 12: 24833, 3: 8236, 0: 1262}, ("Threes", 6, 5): {6: 13949, 9: 27798, 15: 18256, 12: 31197, 3: 3820, 18: 4564, 0: 416}, ("Threes", 6, 6): {9: 22175, 12: 32897, 15: 26264, 18: 8496, 6: 8372, 3: 1642, 0: 154}, ("Threes", 6, 7): {12: 31385, 15: 32666, 18: 14084, 9: 16346, 6: 4728, 3: 740, 0: 51}, ("Threes", 6, 8): {12: 28320, 15: 36982, 3: 297, 9: 11202, 18: 20528, 6: 2651, 0: 20}, ("Threes", 7, 0): {0: 100000}, ("Threes", 7, 1): {9: 7886, 3: 39105, 0: 27933, 6: 23338, 12: 1559, 15: 170, 21: 2, 18: 7}, ("Threes", 7, 2): {9: 23110, 6: 31832, 3: 23896, 12: 10218, 0: 7794, 15: 2739, 18: 392, 21: 19}, ("Threes", 7, 3): {3: 11098, 9: 29316, 6: 24140, 0: 2138, 12: 21386, 15: 9413, 18: 2263, 21: 246}, ("Threes", 7, 4): {9: 26233, 12: 28244, 18: 6438, 15: 18118, 3: 4648, 6: 14737, 0: 590, 21: 992}, ("Threes", 7, 5): {15: 26078, 9: 19439, 12: 28977, 18: 12957, 6: 7953, 21: 2655, 3: 1777, 0: 164}, ("Threes", 7, 6): {15: 30535, 18: 20208, 12: 25793, 9: 13025, 6: 3938, 21: 5783, 3: 664, 0: 54}, ("Threes", 7, 7): {15: 31859, 21: 10191, 9: 7941, 12: 20571, 18: 27374, 6: 1790, 3: 267, 0: 7}, ("Threes", 7, 8): {15: 30313, 18: 33133, 21: 15727, 12: 15117, 9: 4747, 6: 854, 3: 104, 0: 5}, ("Threes", 8, 0): {0: 100000}, ("Threes", 8, 1): {3: 37232, 9: 10377, 0: 23337, 6: 25968, 12: 2630, 15: 423, 18: 31, 21: 2}, ("Threes", 8, 2): {6: 29232, 3: 18930, 9: 26016, 12: 14399, 15: 4847, 0: 5310, 18: 1124, 21: 138, 24: 4}, ("Threes", 8, 3): {12: 24703, 18: 5285, 9: 27141, 6: 18754, 15: 14251, 21: 1111, 0: 1328, 3: 7328, 24: 99}, ("Threes", 8, 4): {15: 23402, 9: 20607, 12: 26898, 18: 12452, 21: 3839, 6: 9554, 3: 2428, 0: 291, 24: 529}, ("Threes", 8, 5): {18: 20616, 15: 27931, 6: 4240, 21: 8743, 12: 23248, 3: 838, 9: 12608, 24: 1709, 0: 67}, ("Threes", 8, 6): {18: 27276, 9: 6890, 12: 17302, 21: 15571, 24: 3812, 6: 1657, 15: 27235, 3: 243, 0: 14}, ("Threes", 8, 7): {21: 22546, 15: 23682, 18: 30401, 12: 11580, 24: 7444, 9: 3547, 6: 718, 3: 76, 0: 6}, ("Threes", 8, 8): {18: 30657, 15: 18980, 12: 7211, 9: 1748, 24: 12037, 21: 29074, 6: 273, 3: 19, 0: 1}, ("Fours", 0, 0): {0: 100000}, ("Fours", 0, 1): {0: 100000}, ("Fours", 0, 2): {0: 100000}, ("Fours", 0, 3): {0: 100000}, ("Fours", 0, 4): {0: 100000}, ("Fours", 0, 5): {0: 100000}, ("Fours", 0, 6): {0: 100000}, ("Fours", 0, 7): {0: 100000}, ("Fours", 0, 8): {0: 100000}, ("Fours", 1, 0): {0: 100000}, ("Fours", 1, 1): {0: 83260, 4: 16740}, ("Fours", 1, 2): {0: 69514, 4: 30486}, ("Fours", 1, 3): {4: 41983, 0: 58017}, ("Fours", 1, 4): {4: 51611, 0: 48389}, ("Fours", 1, 5): {0: 40201, 4: 59799}, ("Fours", 1, 6): {4: 66504, 0: 33496}, ("Fours", 1, 7): {4: 71948, 0: 28052}, ("Fours", 1, 8): {4: 76569, 0: 23431}, ("Fours", 2, 0): {0: 100000}, ("Fours", 2, 1): {0: 69379, 4: 27817, 8: 2804}, ("Fours", 2, 2): {0: 48538, 4: 42240, 8: 9222}, ("Fours", 2, 3): {4: 48555, 8: 17689, 0: 33756}, ("Fours", 2, 4): {4: 49916, 8: 27014, 0: 23070}, ("Fours", 2, 5): {8: 35769, 4: 48009, 0: 16222}, ("Fours", 2, 6): {4: 44400, 8: 44475, 0: 11125}, ("Fours", 2, 7): {8: 51865, 4: 40216, 0: 7919}, ("Fours", 2, 8): {4: 35757, 8: 58895, 0: 5348}, ("Fours", 3, 0): {0: 100000}, ("Fours", 3, 1): {4: 34622, 0: 57914, 8: 7022, 12: 442}, ("Fours", 3, 2): {4: 44110, 0: 33621, 8: 19466, 12: 2803}, ("Fours", 3, 3): {8: 30898, 4: 42425, 0: 19153, 12: 7524}, ("Fours", 3, 4): {12: 13840, 8: 39024, 4: 36011, 0: 11125}, ("Fours", 3, 5): {12: 21325, 0: 6367, 8: 43192, 4: 29116}, ("Fours", 3, 6): {4: 22457, 12: 29423, 8: 44477, 0: 3643}, ("Fours", 3, 7): {8: 43275, 12: 37745, 4: 16802, 0: 2178}, ("Fours", 3, 8): {8: 41132, 12: 45312, 4: 12301, 0: 1255}, ("Fours", 4, 0): {0: 100000}, ("Fours", 4, 1): {0: 48465, 4: 38398, 12: 1570, 8: 11492, 16: 75}, ("Fours", 4, 2): {8: 27073, 4: 40911, 0: 23296, 12: 7871, 16: 849}, ("Fours", 4, 3): {12: 17222, 8: 35337, 0: 11200, 4: 33191, 16: 3050}, ("Fours", 4, 4): {8: 37441, 4: 23066, 12: 26861, 0: 5447, 16: 7185}, ("Fours", 4, 5): {0: 2533, 8: 34781, 12: 34222, 4: 15668, 16: 12796}, ("Fours", 4, 6): {0: 1314, 8: 29850, 12: 39425, 16: 19410, 4: 10001}, ("Fours", 4, 7): {12: 41917, 4: 6231, 0: 592, 8: 24250, 16: 27010}, ("Fours", 4, 8): {16: 34777, 8: 19168, 12: 41866, 4: 3887, 0: 302}, ("Fours", 5, 0): {0: 100000}, ("Fours", 5, 1): {4: 40127, 0: 40215, 8: 16028, 12: 3303, 16: 319, 20: 8}, ("Fours", 5, 2): {8: 31158, 0: 15946, 12: 13998, 4: 35579, 16: 3049, 20: 270}, ("Fours", 5, 3): {8: 34575, 20: 1347, 12: 24783, 4: 23705, 0: 6479, 16: 9111}, ("Fours", 5, 4): {8: 30079, 12: 32428, 4: 13889, 20: 3706, 16: 17263, 0: 2635}, ("Fours", 5, 5): {16: 25803, 8: 23332, 12: 34254, 4: 7756, 20: 7695, 0: 1160}, ("Fours", 5, 6): {20: 13131, 12: 32910, 16: 32752, 8: 16525, 4: 4248, 0: 434}, ("Fours", 5, 7): {12: 29123, 20: 19471, 16: 37701, 8: 11414, 4: 2122, 0: 169}, ("Fours", 5, 8): {16: 40144, 8: 7340, 20: 26442, 12: 24807, 4: 1192, 0: 75}, ("Fours", 6, 0): {0: 100000}, ("Fours", 6, 1): {4: 39856, 8: 20225, 0: 33632, 12: 5348, 16: 865, 20: 72, 24: 2}, ("Fours", 6, 2): {4: 29824, 16: 6225, 8: 32381, 0: 11175, 12: 19179, 24: 100, 20: 1116}, ("Fours", 6, 3): {12: 29071, 4: 16329, 8: 29939, 16: 15808, 0: 3698, 20: 4594, 24: 561}, ("Fours", 6, 4): {24: 1875, 12: 31107, 16: 25281, 8: 21748, 20: 10816, 4: 7889, 0: 1284}, ("Fours", 6, 5): {12: 27817, 24: 4501, 16: 31233, 20: 18386, 4: 3792, 8: 13809, 0: 462}, ("Fours", 6, 6): {24: 8835, 20: 26192, 16: 32690, 12: 22156, 8: 8344, 4: 1636, 0: 147}, ("Fours", 6, 7): {24: 14130, 12: 16285, 20: 32639, 16: 31490, 8: 4689, 4: 733, 0: 34}, ("Fours", 6, 8): {24: 20510, 12: 11388, 16: 27841, 20: 37380, 8: 2524, 4: 349, 0: 8}, ("Fours", 7, 0): {0: 100000}, ("Fours", 7, 1): {4: 39289, 0: 27821, 12: 7807, 8: 23327, 16: 1564, 20: 181, 24: 11}, ("Fours", 7, 2): {16: 10162, 12: 23169, 4: 24026, 8: 31633, 0: 7950, 20: 2637, 24: 403, 28: 20}, ("Fours", 7, 3): {8: 24107, 12: 29411, 20: 9251, 0: 2194, 16: 21390, 4: 11153, 24: 2231, 28: 263}, ("Fours", 7, 4): {8: 14788, 16: 28118, 20: 18174, 12: 26330, 24: 6535, 4: 4503, 28: 992, 0: 560}, ("Fours", 7, 5): {16: 29003, 20: 26113, 12: 19425, 24: 12972, 8: 7862, 28: 2767, 4: 1687, 0: 171}, ("Fours", 7, 6): {12: 12863, 24: 20147, 20: 30724, 16: 25831, 28: 5860, 8: 3896, 4: 630, 0: 49}, ("Fours", 7, 7): {28: 10189, 16: 20524, 12: 7978, 20: 31843, 24: 27368, 8: 1846, 4: 239, 0: 13}, ("Fours", 7, 8): {28: 15645, 24: 33428, 16: 15198, 20: 30153, 12: 4712, 8: 776, 4: 88}, ("Fours", 8, 0): {0: 100000}, ("Fours", 8, 1): {0: 23275, 12: 10570, 4: 37161, 8: 25964, 20: 402, 16: 2594, 24: 33, 28: 1}, ("Fours", 8, 2): {8: 29259, 0: 5421, 20: 4887, 12: 25812, 4: 19014, 16: 14387, 24: 1084, 28: 131, 32: 5}, ("Fours", 8, 3): {24: 5162, 16: 25138, 8: 18330, 12: 27186, 4: 7349, 20: 14371, 0: 1277, 28: 1090, 32: 97}, ("Fours", 8, 4): {16: 26960, 28: 3827, 12: 20282, 24: 12927, 20: 23292, 8: 9366, 4: 2563, 0: 289, 32: 494}, ("Fours", 8, 5): {24: 20767, 20: 27754, 16: 23588, 12: 12492, 8: 4214, 28: 8693, 4: 776, 0: 59, 32: 1657}, ("Fours", 8, 6): {28: 15457, 20: 27398, 24: 27074, 12: 6892, 16: 17296, 8: 1771, 32: 3843, 4: 248, 0: 21}, ("Fours", 8, 7): {24: 30628, 28: 22590, 12: 3649, 20: 23737, 16: 11420, 32: 7231, 8: 648, 4: 95, 0: 2}, ("Fours", 8, 8): {20: 18630, 24: 31109, 12: 1683, 28: 29548, 32: 11743, 16: 7021, 8: 249, 4: 16, 0: 1}, ("Fives", 0, 0): {0: 100000}, ("Fives", 0, 1): {0: 100000}, ("Fives", 0, 2): {0: 100000}, ("Fives", 0, 3): {0: 100000}, ("Fives", 0, 4): {0: 100000}, ("Fives", 0, 5): {0: 100000}, ("Fives", 0, 6): {0: 100000}, ("Fives", 0, 7): {0: 100000}, ("Fives", 0, 8): {0: 100000}, ("Fives", 1, 0): {0: 100000}, ("Fives", 1, 1): {5: 16662, 0: 83338}, ("Fives", 1, 2): {0: 69499, 5: 30501}, ("Fives", 1, 3): {5: 42201, 0: 57799}, ("Fives", 1, 4): {5: 51689, 0: 48311}, ("Fives", 1, 5): {5: 59916, 0: 40084}, ("Fives", 1, 6): {0: 33440, 5: 66560}, ("Fives", 1, 7): {0: 27730, 5: 72270}, ("Fives", 1, 8): {5: 76790, 0: 23210}, ("Fives", 2, 0): {0: 100000}, ("Fives", 2, 1): {5: 27864, 0: 69299, 10: 2837}, ("Fives", 2, 2): {0: 48156, 5: 42526, 10: 9318}, ("Fives", 2, 3): {0: 33225, 5: 49153, 10: 17622}, ("Fives", 2, 4): {0: 23218, 5: 50075, 10: 26707}, ("Fives", 2, 5): {5: 48313, 0: 15939, 10: 35748}, ("Fives", 2, 6): {5: 44324, 10: 44336, 0: 11340}, ("Fives", 2, 7): {10: 51790, 5: 40388, 0: 7822}, ("Fives", 2, 8): {10: 58978, 5: 35636, 0: 5386}, ("Fives", 3, 0): {0: 100000}, ("Fives", 3, 1): {5: 34541, 0: 58034, 10: 6946, 15: 479}, ("Fives", 3, 2): {10: 19403, 15: 2904, 0: 33466, 5: 44227}, ("Fives", 3, 3): {0: 19231, 10: 30794, 5: 42483, 15: 7492}, ("Fives", 3, 4): {5: 36192, 10: 38673, 15: 13939, 0: 11196}, ("Fives", 3, 5): {5: 29163, 10: 43014, 15: 21262, 0: 6561}, ("Fives", 3, 6): {15: 29489, 10: 44611, 5: 22181, 0: 3719}, ("Fives", 3, 7): {15: 37618, 5: 16817, 10: 43466, 0: 2099}, ("Fives", 3, 8): {15: 45310, 10: 40936, 5: 12473, 0: 1281}, ("Fives", 4, 0): {0: 100000}, ("Fives", 4, 1): {5: 38345, 0: 48377, 10: 11611, 15: 1587, 20: 80}, ("Fives", 4, 2): {10: 27041, 5: 40940, 0: 23126, 15: 8003, 20: 890}, ("Fives", 4, 3): {20: 3208, 5: 32597, 15: 17250, 10: 35753, 0: 11192}, ("Fives", 4, 4): {10: 37379, 5: 23073, 15: 26968, 0: 5362, 20: 7218}, ("Fives", 4, 5): {15: 34186, 10: 34602, 5: 15662, 20: 12895, 0: 2655}, ("Fives", 4, 6): {15: 39417, 20: 19500, 5: 9959, 10: 29833, 0: 1291}, ("Fives", 4, 7): {15: 41779, 20: 27007, 10: 24360, 5: 6231, 0: 623}, ("Fives", 4, 8): {20: 34729, 15: 41957, 10: 19164, 5: 3837, 0: 313}, ("Fives", 5, 0): {0: 100000}, ("Fives", 5, 1): {5: 40561, 10: 16029, 0: 39911, 15: 3164, 20: 322, 25: 13}, ("Fives", 5, 2): {10: 31246, 0: 16178, 5: 35517, 15: 13793, 20: 3019, 25: 247}, ("Fives", 5, 3): {20: 8948, 5: 23716, 0: 6526, 10: 34430, 15: 25017, 25: 1363}, ("Fives", 5, 4): {15: 32247, 10: 30133, 20: 17219, 5: 13975, 25: 3811, 0: 2615}, ("Fives", 5, 5): {10: 23203, 15: 34489, 20: 25757, 5: 7876, 25: 7612, 0: 1063}, ("Fives", 5, 6): {15: 32855, 20: 32891, 10: 16696, 25: 13038, 5: 4091, 0: 429}, ("Fives", 5, 7): {15: 29416, 20: 37778, 10: 11298, 25: 19138, 5: 2211, 0: 159}, ("Fives", 5, 8): {15: 24456, 10: 7453, 25: 26297, 20: 40615, 5: 1127, 0: 52}, ("Fives", 6, 0): {0: 100000}, ("Fives", 6, 1): {10: 20181, 0: 33476, 5: 40167, 15: 5317, 20: 780, 25: 76, 30: 3}, ("Fives", 6, 2): {10: 32664, 20: 6194, 5: 29613, 25: 1125, 15: 19004, 0: 11322, 30: 78}, ("Fives", 6, 3): {5: 16288, 10: 29770, 20: 15759, 0: 3765, 15: 29233, 25: 4563, 30: 622}, ("Fives", 6, 4): {10: 21518, 5: 8226, 20: 25160, 15: 31229, 25: 10712, 0: 1201, 30: 1954}, ("Fives", 6, 5): {20: 30800, 15: 27961, 10: 14005, 25: 18442, 5: 3874, 30: 4485, 0: 433}, ("Fives", 6, 6): {10: 8354, 20: 32744, 15: 22226, 25: 26341, 5: 1686, 30: 8508, 0: 141}, ("Fives", 6, 7): {20: 31363, 30: 14151, 25: 32784, 15: 16206, 10: 4724, 5: 730, 0: 42}, ("Fives", 6, 8): {15: 11279, 20: 28004, 30: 20619, 25: 37178, 10: 2623, 5: 278, 0: 19}, ("Fives", 7, 0): {0: 100000}, ("Fives", 7, 1): {10: 23567, 0: 27826, 5: 39154, 20: 1543, 15: 7734, 25: 159, 30: 17}, ("Fives", 7, 2): {0: 7609, 15: 23214, 5: 24193, 10: 31722, 20: 10140, 25: 2694, 30: 406, 35: 22}, ("Fives", 7, 3): {15: 29307, 25: 9164, 10: 24443, 5: 11013, 20: 21387, 35: 218, 30: 2206, 0: 2262}, ("Fives", 7, 4): {30: 6453, 25: 18050, 10: 14761, 20: 28335, 15: 26159, 5: 4583, 0: 618, 35: 1041}, ("Fives", 7, 5): {30: 12883, 20: 28915, 25: 26000, 15: 19685, 10: 7909, 35: 2718, 5: 1707, 0: 183}, ("Fives", 7, 6): {25: 30456, 20: 25572, 30: 20695, 15: 13042, 35: 5729, 10: 3836, 5: 618, 0: 52}, ("Fives", 7, 7): {35: 10115, 30: 27333, 25: 31883, 10: 1852, 20: 20696, 15: 7866, 5: 246, 0: 9}, ("Fives", 7, 8): {30: 33015, 25: 30298, 20: 15292, 35: 15768, 15: 4700, 5: 92, 10: 829, 0: 6}, ("Fives", 8, 0): {0: 100000}, ("Fives", 8, 1): {5: 37259, 0: 23333, 10: 25947, 20: 2598, 15: 10392, 25: 433, 30: 36, 35: 2}, ("Fives", 8, 2): {10: 29380, 5: 18915, 15: 25994, 20: 14056, 25: 4971, 0: 5425, 30: 1131, 35: 122, 40: 6}, ("Fives", 8, 3): {20: 24542, 10: 18783, 25: 14322, 15: 27375, 35: 1058, 30: 5252, 5: 7317, 0: 1258, 40: 93}, ("Fives", 8, 4): {15: 20267, 20: 27158, 25: 23589, 30: 12529, 10: 9383, 5: 2481, 35: 3817, 40: 505, 0: 271}, ("Fives", 8, 5): {20: 23115, 35: 8917, 25: 27968, 15: 12456, 30: 20704, 10: 4260, 5: 879, 40: 1637, 0: 64}, ("Fives", 8, 6): {35: 15414, 20: 17201, 15: 6936, 30: 27178, 25: 27484, 40: 3817, 10: 1689, 0: 15, 5: 266}, ("Fives", 8, 7): {30: 30426, 40: 7470, 35: 22677, 15: 3535, 20: 11429, 25: 23717, 10: 661, 5: 81, 0: 4}, ("Fives", 8, 8): {35: 29126, 25: 18714, 30: 31084, 20: 7148, 40: 11888, 15: 1779, 5: 21, 10: 239, 0: 1}, ("Sixes", 0, 0): {0: 100000}, ("Sixes", 0, 1): {0: 100000}, ("Sixes", 0, 2): {0: 100000}, ("Sixes", 0, 3): {0: 100000}, ("Sixes", 0, 4): {0: 100000}, ("Sixes", 0, 5): {0: 100000}, ("Sixes", 0, 6): {0: 100000}, ("Sixes", 0, 7): {0: 100000}, ("Sixes", 0, 8): {0: 100000}, ("Sixes", 1, 0): {0: 100000}, ("Sixes", 1, 1): {0: 83168, 6: 16832}, ("Sixes", 1, 2): {0: 69548, 6: 30452}, ("Sixes", 1, 3): {0: 57697, 6: 42303}, ("Sixes", 1, 4): {6: 51957, 0: 48043}, ("Sixes", 1, 5): {0: 39912, 6: 60088}, ("Sixes", 1, 6): {6: 66501, 0: 33499}, ("Sixes", 1, 7): {0: 28251, 6: 71749}, ("Sixes", 1, 8): {6: 76794, 0: 23206}, ("Sixes", 2, 0): {0: 100000}, ("Sixes", 2, 1): {0: 69463, 6: 27651, 12: 2886}, ("Sixes", 2, 2): {6: 42794, 12: 9310, 0: 47896}, ("Sixes", 2, 3): {6: 48757, 0: 33394, 12: 17849}, ("Sixes", 2, 4): {6: 49554, 12: 26894, 0: 23552}, ("Sixes", 2, 5): {6: 48098, 12: 35812, 0: 16090}, ("Sixes", 2, 6): {12: 44094, 6: 44833, 0: 11073}, ("Sixes", 2, 7): {0: 7737, 6: 40480, 12: 51783}, ("Sixes", 2, 8): {6: 35672, 12: 58949, 0: 5379}, ("Sixes", 3, 0): {0: 100000}, ("Sixes", 3, 1): {6: 34818, 12: 6994, 0: 57718, 18: 470}, ("Sixes", 3, 2): {6: 44328, 12: 19159, 0: 33610, 18: 2903}, ("Sixes", 3, 3): {6: 42246, 18: 7436, 0: 19366, 12: 30952}, ("Sixes", 3, 4): {6: 36281, 0: 11144, 12: 38817, 18: 13758}, ("Sixes", 3, 5): {12: 43114, 18: 21581, 0: 6414, 6: 28891}, ("Sixes", 3, 6): {12: 44318, 6: 22394, 18: 29418, 0: 3870}, ("Sixes", 3, 7): {18: 37522, 12: 43487, 6: 16803, 0: 2188}, ("Sixes", 3, 8): {18: 45208, 6: 12421, 12: 41082, 0: 1289}, ("Sixes", 4, 0): {0: 100000}, ("Sixes", 4, 1): {0: 48197, 6: 38521, 12: 11677, 18: 1516, 24: 89}, ("Sixes", 4, 2): {6: 41179, 0: 23155, 12: 26935, 18: 7839, 24: 892}, ("Sixes", 4, 3): {6: 32609, 18: 17390, 0: 11256, 12: 35588, 24: 3157}, ("Sixes", 4, 4): {12: 37209, 0: 5324, 6: 23265, 18: 26929, 24: 7273}, ("Sixes", 4, 5): {18: 34476, 6: 15488, 12: 34685, 24: 12693, 0: 2658}, ("Sixes", 4, 6): {18: 39379, 6: 9997, 12: 29855, 24: 19487, 0: 1282}, ("Sixes", 4, 7): {18: 41935, 24: 26879, 12: 24396, 6: 6202, 0: 588}, ("Sixes", 4, 8): {6: 3863, 18: 42180, 12: 19042, 24: 34598, 0: 317}, ("Sixes", 5, 0): {0: 100000}, ("Sixes", 5, 1): {0: 40393, 6: 39904, 12: 16206, 18: 3173, 24: 311, 30: 13}, ("Sixes", 5, 2): {0: 16202, 12: 31241, 6: 35664, 18: 13612, 24: 3017, 30: 264}, ("Sixes", 5, 3): {18: 25020, 12: 34585, 6: 23539, 0: 6456, 30: 1318, 24: 9082}, ("Sixes", 5, 4): {12: 30355, 24: 17115, 6: 13980, 18: 32198, 30: 3771, 0: 2581}, ("Sixes", 5, 5): {18: 34716, 30: 7759, 24: 25568, 6: 7775, 12: 23063, 0: 1119}, ("Sixes", 5, 6): {24: 32829, 12: 16724, 30: 13092, 18: 32792, 6: 4171, 0: 392}, ("Sixes", 5, 7): {24: 37560, 18: 29190, 30: 19426, 12: 11509, 6: 2118, 0: 197}, ("Sixes", 5, 8): {30: 26656, 24: 40134, 12: 7404, 18: 24560, 6: 1176, 0: 70}, ("Sixes", 6, 0): {0: 100000}, ("Sixes", 6, 1): {12: 20198, 0: 33316, 6: 40218, 18: 5373, 24: 839, 30: 54, 36: 2}, ("Sixes", 6, 2): {18: 19196, 6: 29444, 12: 32590, 0: 11256, 24: 6278, 36: 84, 30: 1152}, ("Sixes", 6, 3): {18: 29107, 12: 29873, 36: 579, 24: 15863, 6: 16266, 0: 3787, 30: 4525}, ("Sixes", 6, 4): {0: 1286, 12: 21653, 18: 31264, 6: 8066, 24: 25039, 36: 1913, 30: 10779}, ("Sixes", 6, 5): {24: 30919, 18: 27705, 12: 13962, 30: 18670, 36: 4554, 6: 3777, 0: 413}, ("Sixes", 6, 6): {24: 32923, 30: 26086, 6: 1658, 18: 22320, 36: 8485, 12: 8382, 0: 146}, ("Sixes", 6, 7): {18: 16286, 30: 32487, 36: 14138, 24: 31577, 12: 4698, 6: 763, 0: 51}, ("Sixes", 6, 8): {36: 20392, 24: 28064, 30: 37212, 18: 11446, 12: 2558, 6: 306, 0: 22}, ("Sixes", 7, 0): {0: 100000}, ("Sixes", 7, 1): {24: 1548, 12: 23499, 6: 38984, 0: 27852, 18: 7935, 30: 171, 36: 11}, ("Sixes", 7, 2): {12: 31558, 6: 23846, 0: 7883, 18: 23295, 24: 10316, 30: 2667, 36: 405, 42: 30}, ("Sixes", 7, 3): {6: 10928, 12: 24321, 30: 9209, 36: 2296, 18: 29650, 24: 21177, 0: 2186, 42: 233}, ("Sixes", 7, 4): {18: 26303, 24: 28335, 30: 18228, 12: 14673, 42: 933, 6: 4459, 36: 6466, 0: 603}, ("Sixes", 7, 5): {24: 29254, 18: 19381, 36: 12992, 30: 25790, 12: 7879, 6: 1775, 42: 2757, 0: 172}, ("Sixes", 7, 6): {30: 30698, 18: 13039, 36: 20143, 12: 3864, 24: 25760, 42: 5792, 6: 652, 0: 52}, ("Sixes", 7, 7): {36: 27546, 24: 20557, 30: 31709, 42: 10074, 18: 8033, 12: 1824, 6: 246, 0: 11}, ("Sixes", 7, 8): {30: 30259, 36: 33183, 42: 15609, 12: 799, 24: 15419, 18: 4658, 6: 72, 0: 1}, ("Sixes", 8, 0): {0: 100000}, ("Sixes", 8, 1): {0: 23220, 12: 25961, 6: 37213, 18: 10483, 24: 2622, 30: 441, 36: 56, 42: 4}, ("Sixes", 8, 2): {24: 14170, 18: 25777, 12: 29664, 6: 18943, 30: 4965, 0: 5280, 36: 1059, 42: 134, 48: 8}, ("Sixes", 8, 3): {18: 27277, 30: 14351, 24: 24802, 12: 18757, 6: 7112, 36: 5260, 42: 1085, 0: 1246, 48: 110}, ("Sixes", 8, 4): {30: 23403, 24: 27146, 36: 12524, 6: 2460, 18: 20247, 12: 9584, 42: 3889, 0: 301, 48: 446}, ("Sixes", 8, 5): {24: 23471, 30: 27655, 36: 20803, 42: 8841, 18: 12477, 12: 4241, 6: 774, 48: 1653, 0: 85}, ("Sixes", 8, 6): {24: 17373, 36: 27024, 30: 27347, 12: 1790, 18: 6866, 42: 15394, 48: 3929, 6: 255, 0: 22}, ("Sixes", 8, 7): {42: 22654, 48: 7273, 30: 23581, 24: 11451, 36: 30772, 18: 3503, 12: 689, 6: 75, 0: 2}, ("Sixes", 8, 8): {30: 18755, 24: 7116, 36: 31116, 42: 28870, 48: 12131, 18: 1750, 12: 241, 6: 21}, ("Choice", 0, 0): {0: 100000}, ("Choice", 0, 1): {0: 100000}, ("Choice", 0, 2): {0: 100000}, ("Choice", 0, 3): {0: 100000}, ("Choice", 0, 4): {0: 100000}, ("Choice", 0, 5): {0: 100000}, ("Choice", 0, 6): {0: 100000}, ("Choice", 0, 7): {0: 100000}, ("Choice", 0, 8): {0: 100000}, ("Choice", 1, 0): {0: 100000}, ("Choice", 1, 1): {1: 16642, 5: 16618, 2: 16673, 6: 16639, 3: 16828, 4: 16600}, ("Choice", 1, 2): {5: 27898, 4: 11333, 6: 27788, 1: 10921, 2: 11161, 3: 10899}, ("Choice", 1, 3): {6: 39927, 5: 22740, 3: 9263, 1: 9416, 4: 9338, 2: 9316}, ("Choice", 1, 4): {6: 49709, 5: 19312, 2: 7715, 1: 7775, 4: 7791, 3: 7698}, ("Choice", 1, 5): {6: 58421, 2: 6427, 5: 16005, 1: 6390, 3: 6241, 4: 6516}, ("Choice", 1, 6): {6: 65344, 1: 5313, 3: 5363, 5: 13424, 2: 5200, 4: 5356}, ("Choice", 1, 7): {6: 71171, 5: 11028, 3: 4321, 4: 4587, 1: 4428, 2: 4465}, ("Choice", 1, 8): {6: 76004, 1: 3644, 5: 9298, 2: 3648, 4: 3633, 3: 3773}, ("Choice", 2, 0): {0: 100000}, ("Choice", 2, 1): {7: 16670, 8: 13823, 6: 13681, 9: 11170, 10: 8384, 5: 11014, 4: 8292, 3: 5647, 11: 5596, 12: 2866, 2: 2857}, ("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}, ("Choice", 2, 3): {12: 16019, 11: 18510, 7: 13487, 10: 12684, 2: 840, 8: 12296, 9: 11489, 4: 2567, 3: 1706, 5: 3532, 6: 6870}, ("Choice", 2, 4): {9: 10694, 8: 11395, 11: 19145, 7: 11794, 12: 24860, 10: 11421, 5: 2349, 6: 4766, 3: 1203, 2: 580, 4: 1793}, ("Choice", 2, 5): {11: 18504, 9: 9457, 12: 33919, 10: 10101, 7: 10459, 5: 1683, 6: 3327, 8: 9985, 4: 1282, 3: 820, 2: 463}, ("Choice", 2, 6): {10: 8640, 6: 2289, 8: 8711, 11: 17310, 12: 42514, 7: 9329, 9: 8343, 5: 1127, 4: 897, 2: 278, 3: 562}, ("Choice", 2, 7): {9: 7474, 12: 50376, 8: 7580, 11: 15801, 6: 1586, 7: 7617, 5: 804, 10: 7514, 3: 412, 4: 631, 2: 205}, ("Choice", 2, 8): {12: 57425, 7: 6849, 8: 6457, 10: 6546, 5: 551, 11: 14067, 6: 1114, 9: 6208, 4: 385, 2: 136, 3: 262}, ("Choice", 3, 0): {0: 100000}, ("Choice", 3, 1): {14: 6922, 12: 11648, 18: 460, 10: 12552, 6: 4574, 15: 4476, 7: 6986, 9: 11635, 13: 9762, 5: 2727, 8: 9834, 11: 12455, 16: 2778, 4: 1375, 17: 1329, 3: 487}, ("Choice", 3, 2): {13: 13398, 15: 9806, 17: 6384, 14: 11409, 8: 4722, 12: 13008, 9: 6436, 5: 883, 7: 2555, 11: 10449, 16: 8963, 10: 7981, 6: 1345, 3: 113, 18: 2164, 4: 384}, ("Choice", 3, 3): {8: 3168, 7: 1551, 16: 10859, 12: 10775, 9: 4651, 18: 6287, 15: 10908, 13: 13633, 14: 12157, 6: 816, 17: 10915, 11: 7570, 10: 5921, 3: 85, 4: 226, 5: 478}, ("Choice", 3, 4): {9: 3219, 17: 14452, 14: 11945, 11: 5627, 18: 12299, 6: 466, 5: 288, 13: 13346, 16: 11330, 15: 10762, 12: 8677, 7: 929, 10: 4350, 4: 138, 8: 2116, 3: 56}, ("Choice", 3, 5): {13: 12249, 17: 16329, 16: 11082, 15: 10586, 12: 6699, 10: 3230, 18: 19447, 14: 11562, 9: 2335, 5: 158, 8: 1365, 11: 4057, 7: 533, 6: 259, 4: 90, 3: 19}, ("Choice", 3, 6): {17: 17096, 14: 10603, 15: 9701, 18: 27775, 13: 11050, 8: 1005, 16: 10252, 11: 2960, 9: 1634, 12: 5006, 7: 306, 10: 2306, 6: 147, 5: 100, 4: 45, 3: 14}, ("Choice", 3, 7): {13: 9808, 15: 9022, 18: 35842, 14: 9250, 17: 17010, 16: 9459, 9: 1136, 12: 3692, 10: 1679, 11: 2084, 8: 675, 6: 82, 7: 176, 5: 45, 4: 30, 3: 10}, ("Choice", 3, 8): {13: 8621, 18: 43506, 15: 8108, 17: 16142, 11: 1492, 16: 8392, 9: 824, 14: 8389, 8: 454, 12: 2698, 10: 1179, 5: 32, 7: 98, 6: 41, 3: 5, 4: 19}, ("Choice", 4, 0): {0: 100000}, ("Choice", 4, 1): {19: 4323, 14: 11229, 15: 10673, 11: 8105, 10: 6187, 22: 736, 9: 4374, 7: 1574, 8: 2687, 20: 2726, 16: 9725, 13: 10880, 12: 9516, 17: 8088, 18: 6186, 24: 68, 21: 1512, 6: 723, 23: 286, 5: 318, 4: 84}, ("Choice", 4, 2): {21: 6005, 15: 9539, 22: 4467, 18: 11247, 10: 2080, 16: 10496, 11: 3014, 12: 4393, 19: 9825, 20: 7880, 17: 11349, 14: 8110, 9: 1277, 13: 6253, 7: 285, 24: 600, 23: 2326, 8: 609, 5: 56, 6: 172, 4: 17}, ("Choice", 4, 3): {21: 8490, 20: 9895, 23: 5811, 18: 11621, 15: 7482, 22: 7386, 14: 5818, 12: 2634, 19: 11785, 16: 8383, 17: 9883, 13: 4063, 9: 675, 10: 1179, 24: 2507, 11: 1850, 8: 309, 7: 128, 6: 65, 5: 28, 4: 8}, ("Choice", 4, 4): {21: 9541, 16: 6768, 17: 8169, 20: 11157, 18: 10557, 13: 2517, 23: 9579, 19: 12760, 22: 9333, 7: 71, 14: 4089, 15: 5448, 24: 6200, 12: 1624, 10: 658, 9: 312, 11: 1021, 8: 132, 5: 19, 6: 41, 4: 4}, ("Choice", 4, 5): {17: 6331, 18: 9020, 20: 11414, 22: 10446, 23: 12551, 9: 180, 16: 5012, 21: 10261, 24: 11379, 15: 3993, 12: 924, 19: 12893, 14: 2916, 13: 1575, 8: 60, 10: 389, 11: 599, 7: 32, 6: 14, 5: 10, 4: 1}, ("Choice", 4, 6): {20: 11246, 21: 10350, 24: 18222, 19: 12054, 23: 14883, 11: 348, 17: 4745, 12: 512, 18: 7311, 15: 2911, 14: 1923, 16: 3870, 22: 10306, 10: 189, 13: 962, 9: 104, 8: 34, 7: 23, 4: 1, 5: 5, 6: 1}, ("Choice", 4, 7): {18: 5654, 22: 10265, 23: 15911, 20: 10646, 17: 3629, 15: 2120, 24: 25318, 21: 9719, 16: 2832, 19: 11206, 9: 50, 11: 230, 12: 333, 14: 1379, 8: 18, 13: 540, 10: 136, 7: 10, 5: 2, 6: 2}, ("Choice", 4, 8): {24: 33185, 23: 16241, 20: 9548, 19: 10211, 22: 9596, 21: 9030, 12: 172, 18: 4294, 16: 1967, 17: 2697, 15: 1524, 13: 359, 10: 73, 14: 948, 11: 111, 9: 32, 8: 7, 7: 2, 5: 2, 6: 1}, ("Choice", 5, 0): {0: 100000}, ("Choice", 5, 1): {21: 7039, 16: 9529, 18: 9956, 14: 6758, 13: 5372, 17: 10211, 15: 8305, 12: 3976, 24: 2664, 20: 8205, 23: 3986, 19: 9571, 25: 1646, 22: 5328, 11: 2671, 27: 430, 10: 1646, 9: 866, 26: 872, 6: 74, 28: 189, 7: 195, 8: 435, 29: 57, 30: 14, 5: 5}, ("Choice", 5, 2): {16: 4608, 24: 8226, 21: 9902, 27: 3308, 19: 8702, 20: 9600, 17: 5788, 26: 4778, 18: 7330, 28: 1996, 12: 891, 25: 6329, 22: 10013, 13: 1430, 23: 9510, 15: 3317, 14: 2286, 29: 837, 11: 486, 9: 138, 10: 271, 7: 22, 30: 172, 8: 53, 5: 1, 6: 6}, ("Choice", 5, 3): {22: 9536, 27: 5769, 16: 2672, 23: 10122, 24: 10309, 25: 9165, 21: 8990, 19: 6481, 28: 4603, 15: 1876, 20: 8079, 13: 672, 29: 2846, 26: 7319, 18: 4821, 14: 1120, 17: 3768, 30: 1011, 12: 402, 9: 63, 11: 218, 10: 118, 8: 24, 6: 7, 7: 9}, ("Choice", 5, 4): {27: 7903, 21: 7298, 26: 9341, 16: 1649, 18: 3083, 23: 9471, 24: 10886, 20: 6124, 22: 8263, 30: 3111, 28: 7076, 25: 11012, 19: 4294, 15: 1052, 29: 5839, 17: 2215, 10: 57, 13: 387, 14: 595, 12: 189, 11: 115, 9: 21, 7: 7, 8: 10, 6: 1, 5: 1}, ("Choice", 5, 5): {25: 12129, 23: 7952, 20: 4533, 29: 9384, 17: 1431, 15: 556, 28: 8745, 21: 5662, 27: 9106, 26: 10402, 24: 10206, 18: 1938, 22: 6727, 19: 2991, 30: 6731, 16: 897, 13: 170, 14: 262, 12: 96, 11: 43, 8: 3, 9: 9, 10: 22, 7: 4, 6: 1}, ("Choice", 5, 6): {29: 11896, 30: 11798, 25: 12335, 28: 9678, 27: 9839, 24: 9077, 26: 11056, 23: 6481, 20: 3055, 21: 4282, 15: 298, 22: 5378, 19: 1921, 16: 542, 14: 166, 18: 1217, 13: 81, 17: 810, 12: 45, 10: 13, 11: 24, 9: 5, 7: 1, 8: 2}, ("Choice", 5, 7): {29: 14323, 24: 7418, 25: 11791, 27: 9773, 28: 10189, 20: 2297, 30: 18039, 26: 10837, 16: 301, 18: 676, 23: 5083, 17: 498, 22: 4016, 21: 3251, 19: 1172, 15: 180, 14: 74, 11: 5, 12: 26, 13: 43, 10: 4, 8: 2, 9: 2}, ("Choice", 5, 8): {17: 299, 28: 9897, 22: 2979, 24: 5927, 30: 25220, 23: 3761, 26: 10403, 29: 15421, 25: 11074, 27: 9715, 21: 2281, 20: 1533, 18: 431, 13: 22, 15: 86, 16: 167, 19: 736, 14: 35, 12: 4, 11: 6, 10: 2, 9: 1}, ("Choice", 6, 0): {0: 100000}, ("Choice", 6, 1): {26: 4860, 17: 6178, 19: 8212, 32: 256, 22: 9220, 25: 6226, 14: 2489, 24: 7379, 13: 1658, 27: 3548, 23: 8405, 18: 7257, 31: 508, 20: 8945, 29: 1608, 16: 4809, 11: 532, 21: 9367, 15: 3502, 28: 2495, 30: 938, 10: 282, 12: 962, 34: 53, 33: 121, 8: 49, 9: 114, 7: 15, 35: 9, 36: 2, 6: 1}, ("Choice", 6, 2): {22: 6866, 25: 9290, 18: 2440, 24: 8800, 28: 7991, 30: 5310, 27: 8618, 23: 7807, 20: 4423, 26: 9222, 32: 2553, 29: 6823, 21: 5609, 34: 767, 19: 3344, 17: 1733, 31: 3853, 16: 1159, 13: 227, 15: 686, 9: 12, 12: 113, 33: 1577, 14: 387, 36: 47, 10: 21, 35: 264, 11: 52, 8: 6}, ("Choice", 6, 3): {30: 8077, 16: 498, 25: 7982, 32: 5102, 19: 1728, 26: 8870, 23: 5606, 28: 9118, 22: 4620, 29: 9042, 24: 6840, 20: 2544, 31: 6647, 33: 3768, 35: 1364, 27: 9225, 34: 2548, 21: 3452, 17: 833, 18: 1190, 15: 259, 36: 381, 14: 172, 13: 66, 12: 36, 11: 16, 9: 2, 10: 9, 6: 1, 8: 3, 7: 1}, ("Choice", 6, 4): {25: 6167, 30: 9858, 29: 9441, 32: 7395, 35: 3606, 28: 8910, 31: 9026, 27: 8452, 36: 1528, 22: 2782, 26: 7683, 33: 5996, 20: 1380, 24: 4848, 34: 4876, 21: 2028, 19: 913, 23: 3755, 16: 190, 18: 570, 9: 3, 13: 42, 15: 114, 17: 345, 14: 65, 11: 7, 12: 16, 10: 4}, ("Choice", 6, 5): {35: 6320, 25: 4419, 27: 6891, 30: 10288, 29: 8850, 31: 11006, 32: 9067, 23: 2479, 33: 7800, 24: 3379, 21: 1169, 34: 7012, 28: 7872, 26: 5900, 22: 1736, 36: 4024, 19: 463, 17: 158, 20: 719, 18: 283, 10: 1, 13: 10, 16: 84, 14: 19, 12: 5, 15: 44, 11: 2}, ("Choice", 6, 6): {30: 9632, 35: 9505, 34: 8614, 29: 7718, 33: 9115, 36: 7767, 31: 11682, 28: 6555, 26: 4339, 27: 5474, 32: 10420, 21: 670, 15: 26, 25: 3023, 24: 2068, 18: 125, 23: 1491, 17: 76, 22: 1051, 16: 38, 20: 384, 19: 214, 14: 10, 13: 3}, ("Choice", 6, 7): {36: 12922, 30: 8579, 26: 3251, 33: 9746, 32: 10723, 34: 9580, 27: 4378, 31: 11844, 35: 12063, 25: 1996, 23: 890, 29: 6253, 28: 5095, 24: 1320, 21: 333, 19: 111, 22: 593, 20: 190, 15: 6, 18: 68, 17: 29, 13: 6, 14: 2, 16: 21, 12: 1}, ("Choice", 6, 8): {32: 10601, 27: 3220, 36: 18975, 29: 4925, 31: 11529, 28: 4004, 33: 9674, 35: 14109, 30: 7305, 34: 9888, 26: 2320, 23: 583, 22: 366, 24: 803, 25: 1291, 20: 84, 21: 197, 17: 12, 19: 69, 14: 2, 15: 4, 16: 5, 18: 31, 13: 2, 12: 1}, ("Choice", 7, 0): {0: 100000}, ("Choice", 7, 1): {25: 8584, 29: 5372, 31: 3311, 22: 7434, 30: 4364, 32: 2300, 26: 8246, 35: 620, 20: 5480, 27: 7412, 28: 6528, 17: 2350, 15: 1013, 23: 8119, 21: 6693, 18: 3206, 19: 4340, 16: 1531, 24: 8658, 14: 645, 36: 331, 13: 303, 33: 1609, 37: 144, 34: 1003, 38: 75, 12: 182, 40: 7, 11: 68, 10: 31, 9: 5, 39: 31, 41: 2, 8: 2, 7: 1}, ("Choice", 7, 2): {24: 4282, 27: 7379, 32: 7574, 23: 3300, 31: 8185, 28: 8075, 33: 6776, 34: 5580, 25: 5385, 40: 295, 22: 2549, 19: 869, 30: 8645, 36: 3021, 20: 1291, 26: 6611, 29: 8544, 39: 723, 35: 4362, 17: 312, 38: 1338, 37: 2072, 21: 1820, 16: 162, 18: 535, 15: 117, 13: 23, 41: 96, 14: 48, 12: 13, 11: 3, 10: 4, 42: 11}, ("Choice", 7, 3): {20: 512, 32: 8692, 38: 3242, 26: 4072, 35: 7062, 27: 5195, 29: 7128, 31: 8536, 33: 8367, 25: 3166, 34: 7897, 40: 1429, 37: 4709, 28: 6052, 23: 1757, 39: 2296, 30: 7918, 36: 6068, 24: 2399, 18: 216, 22: 1180, 41: 650, 21: 772, 19: 332, 42: 142, 16: 74, 17: 84, 15: 22, 14: 17, 13: 10, 11: 2, 10: 1, 12: 1}, ("Choice", 7, 4): {37: 7340, 32: 8315, 40: 3283, 34: 8797, 27: 3286, 39: 4403, 36: 8345, 35: 8640, 33: 8544, 41: 2041, 29: 5212, 30: 6351, 28: 4189, 24: 1174, 26: 2450, 38: 5585, 31: 7270, 25: 1741, 22: 552, 23: 853, 42: 774, 21: 364, 20: 213, 18: 63, 19: 137, 15: 12, 16: 24, 17: 37, 14: 4, 13: 1}, ("Choice", 7, 5): {34: 8605, 35: 9013, 42: 2216, 40: 5376, 38: 7940, 32: 6951, 36: 9807, 37: 9314, 41: 4370, 30: 4537, 33: 7741, 29: 3538, 26: 1374, 39: 6342, 31: 5755, 27: 1997, 25: 911, 28: 2619, 21: 149, 23: 426, 22: 233, 24: 591, 19: 51, 20: 86, 17: 19, 15: 5, 18: 25, 12: 1, 16: 6, 14: 1, 13: 1}, ("Choice", 7, 6): {36: 9866, 40: 7308, 34: 7593, 39: 7997, 41: 7152, 32: 5519, 35: 8456, 31: 4130, 42: 4911, 30: 3023, 33: 6703, 37: 10964, 29: 2381, 19: 21, 38: 9214, 27: 1160, 28: 1666, 24: 330, 25: 496, 26: 717, 23: 188, 21: 63, 20: 27, 22: 99, 18: 6, 17: 5, 16: 3, 14: 1, 15: 1}, ("Choice", 7, 7): {36: 9373, 41: 10070, 39: 9031, 31: 2880, 35: 7249, 32: 4085, 40: 8781, 33: 5339, 42: 9078, 30: 1983, 37: 11510, 34: 6308, 38: 10233, 28: 1034, 26: 398, 29: 1440, 27: 609, 20: 21, 25: 258, 24: 162, 23: 84, 22: 43, 17: 2, 18: 1, 21: 17, 19: 10, 16: 1}, ("Choice", 7, 8): {36: 8240, 38: 10538, 35: 5945, 40: 9402, 42: 14556, 39: 9681, 37: 11908, 41: 12225, 30: 1277, 33: 3997, 34: 4959, 32: 3072, 29: 962, 31: 1838, 20: 7, 28: 595, 25: 116, 21: 12, 26: 189, 27: 351, 24: 67, 23: 42, 22: 17, 14: 1, 19: 2, 17: 1}, ("Choice", 8, 0): {0: 100000}, ("Choice", 8, 1): {37: 1519, 30: 7423, 36: 2152, 24: 5910, 32: 5875, 29: 7997, 28: 8093, 23: 4938, 25: 6829, 33: 4822, 22: 3783, 21: 3014, 34: 3978, 20: 2288, 18: 961, 27: 7879, 38: 1040, 26: 7482, 31: 6835, 19: 1530, 39: 601, 42: 99, 17: 592, 15: 215, 41: 205, 35: 2971, 16: 353, 13: 52, 40: 344, 14: 99, 43: 54, 12: 22, 45: 10, 44: 23, 11: 8, 10: 3, 46: 1}, ("Choice", 8, 2): {36: 7415, 29: 5278, 32: 7556, 35: 7836, 40: 3569, 41: 2514, 25: 1878, 30: 6157, 39: 4551, 38: 5614, 34: 7996, 33: 8107, 31: 6977, 26: 2602, 43: 1084, 28: 4293, 37: 6440, 24: 1433, 27: 3436, 23: 997, 20: 248, 42: 1681, 19: 136, 44: 579, 45: 279, 46: 97, 21: 412, 16: 29, 18: 82, 22: 614, 47: 33, 17: 44, 48: 6, 14: 6, 11: 1, 15: 14, 13: 5, 12: 1}, ("Choice", 8, 3): {36: 8217, 25: 833, 33: 6427, 32: 5591, 34: 7101, 23: 354, 37: 8047, 42: 4148, 41: 5414, 38: 7791, 35: 7685, 46: 720, 39: 7085, 28: 2231, 43: 2992, 40: 6337, 31: 4589, 30: 3867, 44: 2012, 29: 3038, 27: 1654, 26: 1176, 24: 575, 45: 1291, 22: 203, 20: 77, 47: 289, 18: 22, 21: 112, 48: 57, 12: 1, 17: 13, 16: 8, 19: 40, 15: 1, 14: 1, 13: 1}, ("Choice", 8, 4): {35: 6237, 34: 5503, 33: 4479, 39: 8280, 41: 7615, 37: 7892, 45: 3075, 44: 4161, 26: 495, 32: 3646, 40: 7908, 29: 1554, 47: 1209, 31: 2802, 27: 803, 38: 8522, 30: 2128, 42: 6672, 36: 7186, 43: 5546, 46: 2005, 24: 223, 48: 376, 28: 1074, 23: 122, 25: 316, 22: 78, 20: 24, 19: 14, 21: 43, 17: 4, 18: 6, 16: 2}, ("Choice", 8, 5): {44: 6279, 48: 1363, 43: 7642, 47: 2872, 42: 8489, 38: 7810, 34: 3845, 29: 785, 37: 6718, 46: 4022, 45: 4966, 40: 8603, 39: 8295, 41: 8710, 31: 1635, 36: 5564, 33: 2972, 35: 4650, 27: 352, 32: 2214, 28: 492, 25: 137, 26: 197, 30: 1214, 22: 28, 24: 70, 23: 46, 21: 13, 19: 5, 20: 8, 17: 2, 18: 1, 16: 1}, ("Choice", 8, 6): {37: 5165, 45: 6764, 41: 8845, 36: 4138, 44: 8244, 39: 7403, 34: 2514, 40: 8083, 38: 6531, 43: 9707, 46: 6010, 48: 3190, 47: 5381, 42: 9405, 31: 877, 35: 3155, 33: 1755, 29: 354, 28: 244, 32: 1318, 30: 573, 20: 4, 26: 88, 27: 147, 25: 44, 24: 35, 22: 9, 23: 12, 21: 2, 18: 1, 16: 1, 19: 1}, ("Choice", 8, 7): {45: 8216, 47: 8070, 42: 9590, 40: 6939, 46: 7645, 41: 8066, 43: 11127, 44: 9360, 34: 1492, 38: 5107, 48: 6428, 39: 6267, 37: 3824, 36: 2861, 35: 2132, 33: 1061, 32: 685, 30: 243, 31: 442, 25: 22, 27: 66, 24: 11, 29: 201, 28: 105, 26: 33, 23: 4, 22: 1, 20: 1, 21: 1}, ("Choice", 8, 8): {46: 8827, 37: 2642, 40: 5881, 44: 10176, 43: 11631, 48: 10818, 42: 8984, 45: 9102, 47: 10686, 41: 7044, 39: 4860, 34: 909, 38: 3885, 36: 1776, 33: 601, 35: 1256, 32: 341, 30: 141, 31: 232, 27: 37, 29: 90, 28: 45, 26: 21, 25: 9, 24: 3, 23: 2, 20: 1}, ("Pair", 0, 0): {0: 100000}, ("Pair", 0, 1): {0: 100000}, ("Pair", 0, 2): {0: 100000}, ("Pair", 0, 3): {0: 100000}, ("Pair", 0, 4): {0: 100000}, ("Pair", 0, 5): {0: 100000}, ("Pair", 0, 6): {0: 100000}, ("Pair", 0, 7): {0: 100000}, ("Pair", 0, 8): {0: 100000}, ("Pair", 1, 0): {0: 100000}, ("Pair", 1, 1): {0: 100000}, ("Pair", 1, 2): {0: 100000}, ("Pair", 1, 3): {0: 100000}, ("Pair", 1, 4): {0: 100000}, ("Pair", 1, 5): {0: 100000}, ("Pair", 1, 6): {0: 100000}, ("Pair", 1, 7): {0: 100000}, ("Pair", 1, 8): {0: 100000}, ("Pair", 2, 0): {0: 100000}, ("Pair", 2, 1): {0: 83388, 10: 16612}, ("Pair", 2, 2): {0: 69422, 10: 30578}, ("Pair", 2, 3): {0: 57830, 10: 42170}, ("Pair", 2, 4): {0: 48195, 10: 51805}, ("Pair", 2, 5): {10: 59883, 0: 40117}, ("Pair", 2, 6): {10: 66714, 0: 33286}, ("Pair", 2, 7): {10: 72083, 0: 27917}, ("Pair", 2, 8): {10: 76646, 0: 23354}, ("Pair", 3, 0): {0: 100000}, ("Pair", 3, 1): {0: 55518, 10: 44482}, ("Pair", 3, 2): {10: 69096, 0: 30904}, ("Pair", 3, 3): {10: 82758, 0: 17242}, ("Pair", 3, 4): {10: 90514, 0: 9486}, ("Pair", 3, 5): {10: 94638, 0: 5362}, ("Pair", 3, 6): {10: 97091, 0: 2909}, ("Pair", 3, 7): {10: 98426, 0: 1574}, ("Pair", 3, 8): {10: 99098, 0: 902}, ("Pair", 4, 0): {0: 100000}, ("Pair", 4, 1): {10: 72211, 0: 27789}, ("Pair", 4, 2): {10: 92201, 0: 7799}, ("Pair", 4, 3): {10: 97887, 0: 2113}, ("Pair", 4, 4): {10: 99399, 0: 601}, ("Pair", 4, 5): {10: 99845, 0: 155}, ("Pair", 4, 6): {10: 99957, 0: 43}, ("Pair", 4, 7): {10: 99990, 0: 10}, ("Pair", 4, 8): {10: 99997, 0: 3}, ("Pair", 5, 0): {0: 100000}, ("Pair", 5, 1): {10: 90702, 0: 9298}, ("Pair", 5, 2): {10: 99137, 0: 863}, ("Pair", 5, 3): {10: 99921, 0: 79}, ("Pair", 5, 4): {10: 99998, 0: 2}, ("Pair", 5, 5): {10: 99998, 0: 2}, ("Pair", 5, 6): {10: 100000}, ("Pair", 5, 7): {10: 100000}, ("Pair", 5, 8): {10: 100000}, ("Pair", 6, 0): {0: 100000}, ("Pair", 6, 1): {10: 98459, 0: 1541}, ("Pair", 6, 2): {10: 99977, 0: 23}, ("Pair", 6, 3): {10: 100000}, ("Pair", 6, 4): {10: 100000}, ("Pair", 6, 5): {10: 100000}, ("Pair", 6, 6): {10: 100000}, ("Pair", 6, 7): {10: 100000}, ("Pair", 6, 8): {10: 100000}, ("Pair", 7, 0): {0: 100000}, ("Pair", 7, 1): {10: 100000}, ("Pair", 7, 2): {10: 100000}, ("Pair", 7, 3): {10: 100000}, ("Pair", 7, 4): {10: 100000}, ("Pair", 7, 5): {10: 100000}, ("Pair", 7, 6): {10: 100000}, ("Pair", 7, 7): {10: 100000}, ("Pair", 7, 8): {10: 100000}, ("Pair", 8, 0): {0: 100000}, ("Pair", 8, 1): {10: 100000}, ("Pair", 8, 2): {10: 100000}, ("Pair", 8, 3): {10: 100000}, ("Pair", 8, 4): {10: 100000}, ("Pair", 8, 5): {10: 100000}, ("Pair", 8, 6): {10: 100000}, ("Pair", 8, 7): {10: 100000}, ("Pair", 8, 8): {10: 100000}, ("ThreeOfAKind", 0, 0): {0: 100000}, ("ThreeOfAKind", 0, 1): {0: 100000}, ("ThreeOfAKind", 0, 2): {0: 100000}, ("ThreeOfAKind", 0, 3): {0: 100000}, ("ThreeOfAKind", 0, 4): {0: 100000}, ("ThreeOfAKind", 0, 5): {0: 100000}, ("ThreeOfAKind", 0, 6): {0: 100000}, ("ThreeOfAKind", 0, 7): {0: 100000}, ("ThreeOfAKind", 0, 8): {0: 100000}, ("ThreeOfAKind", 1, 0): {0: 100000}, ("ThreeOfAKind", 1, 1): {0: 100000}, ("ThreeOfAKind", 1, 2): {0: 100000}, ("ThreeOfAKind", 1, 3): {0: 100000}, ("ThreeOfAKind", 1, 4): {0: 100000}, ("ThreeOfAKind", 1, 5): {0: 100000}, ("ThreeOfAKind", 1, 6): {0: 100000}, ("ThreeOfAKind", 1, 7): {0: 100000}, ("ThreeOfAKind", 1, 8): {0: 100000}, ("ThreeOfAKind", 2, 0): {0: 100000}, ("ThreeOfAKind", 2, 1): {0: 100000}, ("ThreeOfAKind", 2, 2): {0: 100000}, ("ThreeOfAKind", 2, 3): {0: 100000}, ("ThreeOfAKind", 2, 4): {0: 100000}, ("ThreeOfAKind", 2, 5): {0: 100000}, ("ThreeOfAKind", 2, 6): {0: 100000}, ("ThreeOfAKind", 2, 7): {0: 100000}, ("ThreeOfAKind", 2, 8): {0: 100000}, ("ThreeOfAKind", 3, 0): {0: 100000}, ("ThreeOfAKind", 3, 1): {0: 97222, 20: 2778}, ("ThreeOfAKind", 3, 2): {0: 88880, 20: 11120}, ("ThreeOfAKind", 3, 3): {0: 78187, 20: 21813}, ("ThreeOfAKind", 3, 4): {0: 67476, 20: 32524}, ("ThreeOfAKind", 3, 5): {20: 42524, 0: 57476}, ("ThreeOfAKind", 3, 6): {20: 51490, 0: 48510}, ("ThreeOfAKind", 3, 7): {20: 59079, 0: 40921}, ("ThreeOfAKind", 3, 8): {20: 65467, 0: 34533}, ("ThreeOfAKind", 4, 0): {0: 100000}, ("ThreeOfAKind", 4, 1): {0: 90316, 20: 9684}, ("ThreeOfAKind", 4, 2): {20: 31599, 0: 68401}, ("ThreeOfAKind", 4, 3): {20: 50617, 0: 49383}, ("ThreeOfAKind", 4, 4): {20: 65601, 0: 34399}, ("ThreeOfAKind", 4, 5): {20: 75846, 0: 24154}, ("ThreeOfAKind", 4, 6): {20: 83198, 0: 16802}, ("ThreeOfAKind", 4, 7): {20: 88377, 0: 11623}, ("ThreeOfAKind", 4, 8): {20: 91895, 0: 8105}, ("ThreeOfAKind", 5, 0): {0: 100000}, ("ThreeOfAKind", 5, 1): {0: 78629, 20: 21371}, ("ThreeOfAKind", 5, 2): {0: 46013, 20: 53987}, ("ThreeOfAKind", 5, 3): {20: 74302, 0: 25698}, ("ThreeOfAKind", 5, 4): {20: 85795, 0: 14205}, ("ThreeOfAKind", 5, 5): {20: 92068, 0: 7932}, ("ThreeOfAKind", 5, 6): {20: 95643, 0: 4357}, ("ThreeOfAKind", 5, 7): {20: 97568, 0: 2432}, ("ThreeOfAKind", 5, 8): {20: 98622, 0: 1378}, ("ThreeOfAKind", 6, 0): {0: 100000}, ("ThreeOfAKind", 6, 1): {0: 63231, 20: 36769}, ("ThreeOfAKind", 6, 2): {20: 73182, 0: 26818}, ("ThreeOfAKind", 6, 3): {20: 88925, 0: 11075}, ("ThreeOfAKind", 6, 4): {20: 95251, 0: 4749}, ("ThreeOfAKind", 6, 5): {20: 98018, 0: 1982}, ("ThreeOfAKind", 6, 6): {20: 99173, 0: 827}, ("ThreeOfAKind", 6, 7): {20: 99642, 0: 358}, ("ThreeOfAKind", 6, 8): {20: 99854, 0: 146}, ("ThreeOfAKind", 7, 0): {0: 100000}, ("ThreeOfAKind", 7, 1): {0: 45975, 20: 54025}, ("ThreeOfAKind", 7, 2): {20: 86793, 0: 13207}, ("ThreeOfAKind", 7, 3): {20: 96273, 0: 3727}, ("ThreeOfAKind", 7, 4): {20: 98903, 0: 1097}, ("ThreeOfAKind", 7, 5): {20: 99687, 0: 313}, ("ThreeOfAKind", 7, 6): {20: 99904, 0: 96}, ("ThreeOfAKind", 7, 7): {20: 99978, 0: 22}, ("ThreeOfAKind", 7, 8): {20: 99992, 0: 8}, ("ThreeOfAKind", 8, 0): {0: 100000}, ("ThreeOfAKind", 8, 1): {20: 70684, 0: 29316}, ("ThreeOfAKind", 8, 2): {20: 94973, 0: 5027}, ("ThreeOfAKind", 8, 3): {20: 99143, 0: 857}, ("ThreeOfAKind", 8, 4): {20: 99838, 0: 162}, ("ThreeOfAKind", 8, 5): {20: 99975, 0: 25}, ("ThreeOfAKind", 8, 6): {20: 99996, 0: 4}, ("ThreeOfAKind", 8, 7): {20: 99999, 0: 1}, ("ThreeOfAKind", 8, 8): {20: 100000}, ("FourOfAKind", 0, 0): {0: 100000}, ("FourOfAKind", 0, 1): {0: 100000}, ("FourOfAKind", 0, 2): {0: 100000}, ("FourOfAKind", 0, 3): {0: 100000}, ("FourOfAKind", 0, 4): {0: 100000}, ("FourOfAKind", 0, 5): {0: 100000}, ("FourOfAKind", 0, 6): {0: 100000}, ("FourOfAKind", 0, 7): {0: 100000}, ("FourOfAKind", 0, 8): {0: 100000}, ("FourOfAKind", 1, 0): {0: 100000}, ("FourOfAKind", 1, 1): {0: 100000}, ("FourOfAKind", 1, 2): {0: 100000}, ("FourOfAKind", 1, 3): {0: 100000}, ("FourOfAKind", 1, 4): {0: 100000}, ("FourOfAKind", 1, 5): {0: 100000}, ("FourOfAKind", 1, 6): {0: 100000}, ("FourOfAKind", 1, 7): {0: 100000}, ("FourOfAKind", 1, 8): {0: 100000}, ("FourOfAKind", 2, 0): {0: 100000}, ("FourOfAKind", 2, 1): {0: 100000}, ("FourOfAKind", 2, 2): {0: 100000}, ("FourOfAKind", 2, 3): {0: 100000}, ("FourOfAKind", 2, 4): {0: 100000}, ("FourOfAKind", 2, 5): {0: 100000}, ("FourOfAKind", 2, 6): {0: 100000}, ("FourOfAKind", 2, 7): {0: 100000}, ("FourOfAKind", 2, 8): {0: 100000}, ("FourOfAKind", 3, 0): {0: 100000}, ("FourOfAKind", 3, 1): {0: 100000}, ("FourOfAKind", 3, 2): {0: 100000}, ("FourOfAKind", 3, 3): {0: 100000}, ("FourOfAKind", 3, 4): {0: 100000}, ("FourOfAKind", 3, 5): {0: 100000}, ("FourOfAKind", 3, 6): {0: 100000}, ("FourOfAKind", 3, 7): {0: 100000}, ("FourOfAKind", 3, 8): {0: 100000}, ("FourOfAKind", 4, 0): {0: 100000}, ("FourOfAKind", 4, 1): {0: 99516, 30: 484}, ("FourOfAKind", 4, 2): {0: 96122, 30: 3878}, ("FourOfAKind", 4, 3): {0: 89867, 30: 10133}, ("FourOfAKind", 4, 4): {0: 81771, 30: 18229}, ("FourOfAKind", 4, 5): {0: 72893, 30: 27107}, ("FourOfAKind", 4, 6): {0: 64000, 30: 36000}, ("FourOfAKind", 4, 7): {0: 55921, 30: 44079}, ("FourOfAKind", 4, 8): {0: 48175, 30: 51825}, ("FourOfAKind", 5, 0): {0: 100000}, ("FourOfAKind", 5, 1): {0: 97938, 30: 2062}, ("FourOfAKind", 5, 2): {0: 86751, 30: 13249}, ("FourOfAKind", 5, 3): {30: 29114, 0: 70886}, ("FourOfAKind", 5, 4): {0: 54807, 30: 45193}, ("FourOfAKind", 5, 5): {30: 58271, 0: 41729}, ("FourOfAKind", 5, 6): {30: 69040, 0: 30960}, ("FourOfAKind", 5, 7): {0: 22207, 30: 77793}, ("FourOfAKind", 5, 8): {30: 83973, 0: 16027}, ("FourOfAKind", 6, 0): {0: 100000}, ("FourOfAKind", 6, 1): {0: 94810, 30: 5190}, ("FourOfAKind", 6, 2): {0: 73147, 30: 26853}, ("FourOfAKind", 6, 3): {30: 50127, 0: 49873}, ("FourOfAKind", 6, 4): {0: 31913, 30: 68087}, ("FourOfAKind", 6, 5): {30: 80123, 0: 19877}, ("FourOfAKind", 6, 6): {30: 88027, 0: 11973}, ("FourOfAKind", 6, 7): {30: 92676, 0: 7324}, ("FourOfAKind", 6, 8): {30: 95779, 0: 4221}, ("FourOfAKind", 7, 0): {0: 100000}, ("FourOfAKind", 7, 1): {0: 89422, 30: 10578}, ("FourOfAKind", 7, 2): {30: 42951, 0: 57049}, ("FourOfAKind", 7, 3): {30: 69097, 0: 30903}, ("FourOfAKind", 7, 4): {30: 84038, 0: 15962}, ("FourOfAKind", 7, 5): {30: 91852, 0: 8148}, ("FourOfAKind", 7, 6): {30: 96057, 0: 3943}, ("FourOfAKind", 7, 7): {30: 98067, 0: 1933}, ("FourOfAKind", 7, 8): {30: 99088, 0: 912}, ("FourOfAKind", 8, 0): {0: 100000}, ("FourOfAKind", 8, 1): {0: 81614, 30: 18386}, ("FourOfAKind", 8, 2): {30: 59476, 0: 40524}, ("FourOfAKind", 8, 3): {30: 82574, 0: 17426}, ("FourOfAKind", 8, 4): {30: 93042, 0: 6958}, ("FourOfAKind", 8, 5): {30: 97138, 0: 2862}, ("FourOfAKind", 8, 6): {30: 98951, 0: 1049}, ("FourOfAKind", 8, 7): {30: 99599, 0: 401}, ("FourOfAKind", 8, 8): {30: 99844, 0: 156}, ("TinyStraight", 0, 0): {0: 100000}, ("TinyStraight", 0, 1): {0: 100000}, ("TinyStraight", 0, 2): {0: 100000}, ("TinyStraight", 0, 3): {0: 100000}, ("TinyStraight", 0, 4): {0: 100000}, ("TinyStraight", 0, 5): {0: 100000}, ("TinyStraight", 0, 6): {0: 100000}, ("TinyStraight", 0, 7): {0: 100000}, ("TinyStraight", 0, 8): {0: 100000}, ("TinyStraight", 1, 0): {0: 100000}, ("TinyStraight", 1, 1): {0: 100000}, ("TinyStraight", 1, 2): {0: 100000}, ("TinyStraight", 1, 3): {0: 100000}, ("TinyStraight", 1, 4): {0: 100000}, ("TinyStraight", 1, 5): {0: 100000}, ("TinyStraight", 1, 6): {0: 100000}, ("TinyStraight", 1, 7): {0: 100000}, ("TinyStraight", 1, 8): {0: 100000}, ("TinyStraight", 2, 0): {0: 100000}, ("TinyStraight", 2, 1): {0: 100000}, ("TinyStraight", 2, 2): {0: 100000}, ("TinyStraight", 2, 3): {0: 100000}, ("TinyStraight", 2, 4): {0: 100000}, ("TinyStraight", 2, 5): {0: 100000}, ("TinyStraight", 2, 6): {0: 100000}, ("TinyStraight", 2, 7): {0: 100000}, ("TinyStraight", 2, 8): {0: 100000}, ("TinyStraight", 3, 0): {0: 100000}, ("TinyStraight", 3, 1): {0: 91672, 20: 8328}, ("TinyStraight", 3, 2): {0: 79082, 20: 20918}, ("TinyStraight", 3, 3): {0: 66490, 20: 33510}, ("TinyStraight", 3, 4): {0: 55797, 20: 44203}, ("TinyStraight", 3, 5): {0: 46967, 20: 53033}, ("TinyStraight", 3, 6): {20: 60405, 0: 39595}, ("TinyStraight", 3, 7): {20: 66616, 0: 33384}, ("TinyStraight", 3, 8): {20: 71253, 0: 28747}, ("TinyStraight", 4, 0): {0: 100000}, ("TinyStraight", 4, 1): {0: 78812, 20: 21188}, ("TinyStraight", 4, 2): {0: 55525, 20: 44475}, ("TinyStraight", 4, 3): {0: 38148, 20: 61852}, ("TinyStraight", 4, 4): {20: 73568, 0: 26432}, ("TinyStraight", 4, 5): {20: 81775, 0: 18225}, ("TinyStraight", 4, 6): {20: 87242, 0: 12758}, ("TinyStraight", 4, 7): {20: 91009, 0: 8991}, ("TinyStraight", 4, 8): {20: 93675, 0: 6325}, ("TinyStraight", 5, 0): {0: 100000}, ("TinyStraight", 5, 1): {20: 35021, 0: 64979}, ("TinyStraight", 5, 2): {0: 36509, 20: 63491}, ("TinyStraight", 5, 3): {20: 79424, 0: 20576}, ("TinyStraight", 5, 4): {20: 88415, 0: 11585}, ("TinyStraight", 5, 5): {20: 93126, 0: 6874}, ("TinyStraight", 5, 6): {20: 96202, 0: 3798}, ("TinyStraight", 5, 7): {20: 97786, 0: 2214}, ("TinyStraight", 5, 8): {20: 98728, 0: 1272}, ("TinyStraight", 6, 0): {0: 100000}, ("TinyStraight", 6, 1): {0: 52157, 20: 47843}, ("TinyStraight", 6, 2): {20: 76359, 0: 23641}, ("TinyStraight", 6, 3): {20: 89117, 0: 10883}, ("TinyStraight", 6, 4): {20: 94873, 0: 5127}, ("TinyStraight", 6, 5): {20: 97558, 0: 2442}, ("TinyStraight", 6, 6): {20: 98842, 0: 1158}, ("TinyStraight", 6, 7): {20: 99458, 0: 542}, ("TinyStraight", 6, 8): {20: 99748, 0: 252}, ("TinyStraight", 7, 0): {0: 100000}, ("TinyStraight", 7, 1): {20: 58508, 0: 41492}, ("TinyStraight", 7, 2): {0: 15072, 20: 84928}, ("TinyStraight", 7, 3): {20: 94095, 0: 5905}, ("TinyStraight", 7, 4): {20: 97754, 0: 2246}, ("TinyStraight", 7, 5): {20: 99058, 0: 942}, ("TinyStraight", 7, 6): {20: 99663, 0: 337}, ("TinyStraight", 7, 7): {20: 99845, 0: 155}, ("TinyStraight", 7, 8): {20: 99939, 0: 61}, ("TinyStraight", 8, 0): {0: 100000}, ("TinyStraight", 8, 1): {0: 32993, 20: 67007}, ("TinyStraight", 8, 2): {20: 89926, 0: 10074}, ("TinyStraight", 8, 3): {20: 96842, 0: 3158}, ("TinyStraight", 8, 4): {20: 98940, 0: 1060}, ("TinyStraight", 8, 5): {20: 99644, 0: 356}, ("TinyStraight", 8, 6): {20: 99883, 0: 117}, ("TinyStraight", 8, 7): {20: 99968, 0: 32}, ("TinyStraight", 8, 8): {20: 99990, 0: 10}, ("SmallStraight", 0, 0): {0: 100000}, ("SmallStraight", 0, 1): {0: 100000}, ("SmallStraight", 0, 2): {0: 100000}, ("SmallStraight", 0, 3): {0: 100000}, ("SmallStraight", 0, 4): {0: 100000}, ("SmallStraight", 0, 5): {0: 100000}, ("SmallStraight", 0, 6): {0: 100000}, ("SmallStraight", 0, 7): {0: 100000}, ("SmallStraight", 0, 8): {0: 100000}, ("SmallStraight", 1, 0): {0: 100000}, ("SmallStraight", 1, 1): {0: 100000}, ("SmallStraight", 1, 2): {0: 100000}, ("SmallStraight", 1, 3): {0: 100000}, ("SmallStraight", 1, 4): {0: 100000}, ("SmallStraight", 1, 5): {0: 100000}, ("SmallStraight", 1, 6): {0: 100000}, ("SmallStraight", 1, 7): {0: 100000}, ("SmallStraight", 1, 8): {0: 100000}, ("SmallStraight", 2, 0): {0: 100000}, ("SmallStraight", 2, 1): {0: 100000}, ("SmallStraight", 2, 2): {0: 100000}, ("SmallStraight", 2, 3): {0: 100000}, ("SmallStraight", 2, 4): {0: 100000}, ("SmallStraight", 2, 5): {0: 100000}, ("SmallStraight", 2, 6): {0: 100000}, ("SmallStraight", 2, 7): {0: 100000}, ("SmallStraight", 2, 8): {0: 100000}, ("SmallStraight", 3, 0): {0: 100000}, ("SmallStraight", 3, 1): {0: 100000}, ("SmallStraight", 3, 2): {0: 100000}, ("SmallStraight", 3, 3): {0: 100000}, ("SmallStraight", 3, 4): {0: 100000}, ("SmallStraight", 3, 5): {0: 100000}, ("SmallStraight", 3, 6): {0: 100000}, ("SmallStraight", 3, 7): {0: 100000}, ("SmallStraight", 3, 8): {0: 100000}, ("SmallStraight", 4, 0): {0: 100000}, ("SmallStraight", 4, 1): {0: 94516, 30: 5484}, ("SmallStraight", 4, 2): {0: 82700, 30: 17300}, ("SmallStraight", 4, 3): {0: 67926, 30: 32074}, ("SmallStraight", 4, 4): {30: 45735, 0: 54265}, ("SmallStraight", 4, 5): {0: 42130, 30: 57870}, ("SmallStraight", 4, 6): {0: 32536, 30: 67464}, ("SmallStraight", 4, 7): {0: 25008, 30: 74992}, ("SmallStraight", 4, 8): {30: 80405, 0: 19595}, ("SmallStraight", 5, 0): {0: 100000}, ("SmallStraight", 5, 1): {0: 84528, 30: 15472}, ("SmallStraight", 5, 2): {0: 60775, 30: 39225}, ("SmallStraight", 5, 3): {0: 39543, 30: 60457}, ("SmallStraight", 5, 4): {30: 75240, 0: 24760}, ("SmallStraight", 5, 5): {30: 84287, 0: 15713}, ("SmallStraight", 5, 6): {30: 89801, 0: 10199}, ("SmallStraight", 5, 7): {30: 93382, 0: 6618}, ("SmallStraight", 5, 8): {30: 95795, 0: 4205}, ("SmallStraight", 6, 0): {0: 100000}, ("SmallStraight", 6, 1): {0: 73121, 30: 26879}, ("SmallStraight", 6, 2): {30: 58168, 0: 41832}, ("SmallStraight", 6, 3): {30: 78051, 0: 21949}, ("SmallStraight", 6, 4): {30: 88696, 0: 11304}, ("SmallStraight", 6, 5): {30: 93937, 0: 6063}, ("SmallStraight", 6, 6): {30: 96638, 0: 3362}, ("SmallStraight", 6, 7): {30: 98201, 0: 1799}, ("SmallStraight", 6, 8): {30: 98931, 0: 1069}, ("SmallStraight", 7, 0): {0: 100000}, ("SmallStraight", 7, 1): {0: 61837, 30: 38163}, ("SmallStraight", 7, 2): {30: 71798, 0: 28202}, ("SmallStraight", 7, 3): {30: 87813, 0: 12187}, ("SmallStraight", 7, 4): {30: 94573, 0: 5427}, ("SmallStraight", 7, 5): {30: 97556, 0: 2444}, ("SmallStraight", 7, 6): {30: 98856, 0: 1144}, ("SmallStraight", 7, 7): {30: 99412, 0: 588}, ("SmallStraight", 7, 8): {30: 99742, 0: 258}, ("SmallStraight", 8, 0): {0: 100000}, ("SmallStraight", 8, 1): {30: 48606, 0: 51394}, ("SmallStraight", 8, 2): {30: 80910, 0: 19090}, ("SmallStraight", 8, 3): {0: 7104, 30: 92896}, ("SmallStraight", 8, 4): {30: 97355, 0: 2645}, ("SmallStraight", 8, 5): {30: 98990, 0: 1010}, ("SmallStraight", 8, 6): {30: 99592, 0: 408}, ("SmallStraight", 8, 7): {30: 99847, 0: 153}, ("SmallStraight", 8, 8): {30: 99922, 0: 78}, ("LargeStraight", 0, 0): {0: 100000}, ("LargeStraight", 0, 1): {0: 100000}, ("LargeStraight", 0, 2): {0: 100000}, ("LargeStraight", 0, 3): {0: 100000}, ("LargeStraight", 0, 4): {0: 100000}, ("LargeStraight", 0, 5): {0: 100000}, ("LargeStraight", 0, 6): {0: 100000}, ("LargeStraight", 0, 7): {0: 100000}, ("LargeStraight", 0, 8): {0: 100000}, ("LargeStraight", 1, 0): {0: 100000}, ("LargeStraight", 1, 1): {0: 100000}, ("LargeStraight", 1, 2): {0: 100000}, ("LargeStraight", 1, 3): {0: 100000}, ("LargeStraight", 1, 4): {0: 100000}, ("LargeStraight", 1, 5): {0: 100000}, ("LargeStraight", 1, 6): {0: 100000}, ("LargeStraight", 1, 7): {0: 100000}, ("LargeStraight", 1, 8): {0: 100000}, ("LargeStraight", 2, 0): {0: 100000}, ("LargeStraight", 2, 1): {0: 100000}, ("LargeStraight", 2, 2): {0: 100000}, ("LargeStraight", 2, 3): {0: 100000}, ("LargeStraight", 2, 4): {0: 100000}, ("LargeStraight", 2, 5): {0: 100000}, ("LargeStraight", 2, 6): {0: 100000}, ("LargeStraight", 2, 7): {0: 100000}, ("LargeStraight", 2, 8): {0: 100000}, ("LargeStraight", 3, 0): {0: 100000}, ("LargeStraight", 3, 1): {0: 100000}, ("LargeStraight", 3, 2): {0: 100000}, ("LargeStraight", 3, 3): {0: 100000}, ("LargeStraight", 3, 4): {0: 100000}, ("LargeStraight", 3, 5): {0: 100000}, ("LargeStraight", 3, 6): {0: 100000}, ("LargeStraight", 3, 7): {0: 100000}, ("LargeStraight", 3, 8): {0: 100000}, ("LargeStraight", 4, 0): {0: 100000}, ("LargeStraight", 4, 1): {0: 100000}, ("LargeStraight", 4, 2): {0: 100000}, ("LargeStraight", 4, 3): {0: 100000}, ("LargeStraight", 4, 4): {0: 100000}, ("LargeStraight", 4, 5): {0: 100000}, ("LargeStraight", 4, 6): {0: 100000}, ("LargeStraight", 4, 7): {0: 100000}, ("LargeStraight", 4, 8): {0: 100000}, ("LargeStraight", 5, 0): {0: 100000}, ("LargeStraight", 5, 1): {0: 96929, 40: 3071}, ("LargeStraight", 5, 2): {0: 87056, 40: 12944}, ("LargeStraight", 5, 3): {0: 75101, 40: 24899}, ("LargeStraight", 5, 4): {0: 63617, 40: 36383}, ("LargeStraight", 5, 5): {0: 53149, 40: 46851}, ("LargeStraight", 5, 6): {0: 44321, 40: 55679}, ("LargeStraight", 5, 7): {40: 63052, 0: 36948}, ("LargeStraight", 5, 8): {0: 30661, 40: 69339}, ("LargeStraight", 6, 0): {0: 100000}, ("LargeStraight", 6, 1): {0: 90756, 40: 9244}, ("LargeStraight", 6, 2): {0: 69805, 40: 30195}, ("LargeStraight", 6, 3): {0: 49814, 40: 50186}, ("LargeStraight", 6, 4): {40: 64898, 0: 35102}, ("LargeStraight", 6, 5): {40: 75615, 0: 24385}, ("LargeStraight", 6, 6): {40: 82982, 0: 17018}, ("LargeStraight", 6, 7): {40: 88261, 0: 11739}, ("LargeStraight", 6, 8): {40: 92028, 0: 7972}, ("LargeStraight", 7, 0): {0: 100000}, ("LargeStraight", 7, 1): {0: 82840, 40: 17160}, ("LargeStraight", 7, 2): {0: 52821, 40: 47179}, ("LargeStraight", 7, 3): {40: 68652, 0: 31348}, ("LargeStraight", 7, 4): {40: 81834, 0: 18166}, ("LargeStraight", 7, 5): {40: 89310, 0: 10690}, ("LargeStraight", 7, 6): {40: 93949, 0: 6051}, ("LargeStraight", 7, 7): {40: 96383, 0: 3617}, ("LargeStraight", 7, 8): {40: 98059, 0: 1941}, ("LargeStraight", 8, 0): {0: 100000}, ("LargeStraight", 8, 1): {40: 26480, 0: 73520}, ("LargeStraight", 8, 2): {40: 60969, 0: 39031}, ("LargeStraight", 8, 3): {40: 80844, 0: 19156}, ("LargeStraight", 8, 4): {40: 90696, 0: 9304}, ("LargeStraight", 8, 5): {40: 95580, 0: 4420}, ("LargeStraight", 8, 6): {40: 97859, 0: 2141}, ("LargeStraight", 8, 7): {40: 98963, 0: 1037}, ("LargeStraight", 8, 8): {40: 99489, 0: 511}, ("FullHouse", 0, 0): {0: 100000}, ("FullHouse", 0, 1): {0: 100000}, ("FullHouse", 0, 2): {0: 100000}, ("FullHouse", 0, 3): {0: 100000}, ("FullHouse", 0, 4): {0: 100000}, ("FullHouse", 0, 5): {0: 100000}, ("FullHouse", 0, 6): {0: 100000}, ("FullHouse", 0, 7): {0: 100000}, ("FullHouse", 0, 8): {0: 100000}, ("FullHouse", 1, 0): {0: 100000}, ("FullHouse", 1, 1): {0: 100000}, ("FullHouse", 1, 2): {0: 100000}, ("FullHouse", 1, 3): {0: 100000}, ("FullHouse", 1, 4): {0: 100000}, ("FullHouse", 1, 5): {0: 100000}, ("FullHouse", 1, 6): {0: 100000}, ("FullHouse", 1, 7): {0: 100000}, ("FullHouse", 1, 8): {0: 100000}, ("FullHouse", 2, 0): {0: 100000}, ("FullHouse", 2, 1): {0: 100000}, ("FullHouse", 2, 2): {0: 100000}, ("FullHouse", 2, 3): {0: 100000}, ("FullHouse", 2, 4): {0: 100000}, ("FullHouse", 2, 5): {0: 100000}, ("FullHouse", 2, 6): {0: 100000}, ("FullHouse", 2, 7): {0: 100000}, ("FullHouse", 2, 8): {0: 100000}, ("FullHouse", 3, 0): {0: 100000}, ("FullHouse", 3, 1): {0: 100000}, ("FullHouse", 3, 2): {0: 100000}, ("FullHouse", 3, 3): {0: 100000}, ("FullHouse", 3, 4): {0: 100000}, ("FullHouse", 3, 5): {0: 100000}, ("FullHouse", 3, 6): {0: 100000}, ("FullHouse", 3, 7): {0: 100000}, ("FullHouse", 3, 8): {0: 100000}, ("FullHouse", 4, 0): {0: 100000}, ("FullHouse", 4, 1): {0: 100000}, ("FullHouse", 4, 2): {0: 100000}, ("FullHouse", 4, 3): {0: 100000}, ("FullHouse", 4, 4): {0: 100000}, ("FullHouse", 4, 5): {0: 100000}, ("FullHouse", 4, 6): {0: 100000}, ("FullHouse", 4, 7): {0: 100000}, ("FullHouse", 4, 8): {0: 100000}, ("FullHouse", 5, 0): {0: 100000}, ("FullHouse", 5, 1): {0: 96155, 25: 3845}, ("FullHouse", 5, 2): {0: 81391, 25: 18609}, ("FullHouse", 5, 3): {25: 35700, 0: 64300}, ("FullHouse", 5, 4): {25: 50331, 0: 49669}, ("FullHouse", 5, 5): {25: 61981, 0: 38019}, ("FullHouse", 5, 6): {25: 70249, 0: 29751}, ("FullHouse", 5, 7): {25: 77040, 0: 22960}, ("FullHouse", 5, 8): {25: 81350, 0: 18650}, ("FullHouse", 6, 0): {0: 100000}, ("FullHouse", 6, 1): {25: 17011, 0: 82989}, ("FullHouse", 6, 2): {0: 47153, 25: 52847}, ("FullHouse", 6, 3): {25: 75849, 0: 24151}, ("FullHouse", 6, 4): {0: 12519, 25: 87481}, ("FullHouse", 6, 5): {25: 93476, 0: 6524}, ("FullHouse", 6, 6): {0: 3606, 25: 96394}, ("FullHouse", 6, 7): {25: 98041, 0: 1959}, ("FullHouse", 6, 8): {25: 98974, 0: 1026}, ("FullHouse", 7, 0): {0: 100000}, ("FullHouse", 7, 1): {0: 60232, 25: 39768}, ("FullHouse", 7, 2): {25: 81106, 0: 18894}, ("FullHouse", 7, 3): {25: 94318, 0: 5682}, ("FullHouse", 7, 4): {25: 98294, 0: 1706}, ("FullHouse", 7, 5): {25: 99478, 0: 522}, ("FullHouse", 7, 6): {25: 99854, 0: 146}, ("FullHouse", 7, 7): {25: 99946, 0: 54}, ("FullHouse", 7, 8): {25: 99982, 0: 18}, ("FullHouse", 8, 0): {0: 100000}, ("FullHouse", 8, 1): {0: 35909, 25: 64091}, ("FullHouse", 8, 2): {25: 94288, 0: 5712}, ("FullHouse", 8, 3): {25: 99070, 0: 930}, ("FullHouse", 8, 4): {25: 99835, 0: 165}, ("FullHouse", 8, 5): {25: 99981, 0: 19}, ("FullHouse", 8, 6): {25: 99994, 0: 6}, ("FullHouse", 8, 7): {25: 100000}, ("FullHouse", 8, 8): {25: 100000}, ("Yacht", 0, 0): {0: 100000}, ("Yacht", 0, 1): {0: 100000}, ("Yacht", 0, 2): {0: 100000}, ("Yacht", 0, 3): {0: 100000}, ("Yacht", 0, 4): {0: 100000}, ("Yacht", 0, 5): {0: 100000}, ("Yacht", 0, 6): {0: 100000}, ("Yacht", 0, 7): {0: 100000}, ("Yacht", 0, 8): {0: 100000}, ("Yacht", 1, 0): {0: 100000}, ("Yacht", 1, 1): {0: 100000}, ("Yacht", 1, 2): {0: 100000}, ("Yacht", 1, 3): {0: 100000}, ("Yacht", 1, 4): {0: 100000}, ("Yacht", 1, 5): {0: 100000}, ("Yacht", 1, 6): {0: 100000}, ("Yacht", 1, 7): {0: 100000}, ("Yacht", 1, 8): {0: 100000}, ("Yacht", 2, 0): {0: 100000}, ("Yacht", 2, 1): {0: 100000}, ("Yacht", 2, 2): {0: 100000}, ("Yacht", 2, 3): {0: 100000}, ("Yacht", 2, 4): {0: 100000}, ("Yacht", 2, 5): {0: 100000}, ("Yacht", 2, 6): {0: 100000}, ("Yacht", 2, 7): {0: 100000}, ("Yacht", 2, 8): {0: 100000}, ("Yacht", 3, 0): {0: 100000}, ("Yacht", 3, 1): {0: 100000}, ("Yacht", 3, 2): {0: 100000}, ("Yacht", 3, 3): {0: 100000}, ("Yacht", 3, 4): {0: 100000}, ("Yacht", 3, 5): {0: 100000}, ("Yacht", 3, 6): {0: 100000}, ("Yacht", 3, 7): {0: 100000}, ("Yacht", 3, 8): {0: 100000}, ("Yacht", 4, 0): {0: 100000}, ("Yacht", 4, 1): {0: 100000}, ("Yacht", 4, 2): {0: 100000}, ("Yacht", 4, 3): {0: 100000}, ("Yacht", 4, 4): {0: 100000}, ("Yacht", 4, 5): {0: 100000}, ("Yacht", 4, 6): {0: 100000}, ("Yacht", 4, 7): {0: 100000}, ("Yacht", 4, 8): {0: 100000}, ("Yacht", 5, 0): {0: 100000}, ("Yacht", 5, 1): {0: 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}, ('TwoTimesOnes', 1, 1): {1.0: 100000}, ('HalfOfSixes', 1, 1): {2.0: 100000}, ('TwosAndThrees', 1, 1): {2.0: 100000}, ('SumOfOdds', 1, 1): {2.0: 100000}, ('SumOfEvens', 1, 1): {3.0: 100000}, ('DoubleThreesAndFours', 1, 1): {4.0: 100000}, ('QuadrupleOnesAndTwos', 1, 1): {4.0: 100000}, ('MicroStraight', 1, 1): {10: 0, 0: 100000}, ('ThreeOdds', 1, 1): {20: 0, 0: 100000}, ('OneTwoOneConsecutive', 1, 1): {30: 0, 0: 100000}, ('ThreeDistinctDice', 1, 1): {20: 0, 0: 100000}, ('TwoPair', 1, 1): {30: 0, 0: 100000}, ('TwoOneTwoConsecutive', 1, 1): {40: 0, 0: 100000}, ('FiveDistinctDice', 1, 1): {25: 0, 0: 100000}, ('FourAndFiveFullHouse', 1, 1): {50: 0, 0: 100000}, ('Distincts', 1, 2): {1: 100000}, ('TwoTimesOnes', 1, 2): {1.5: 100000}, ('HalfOfSixes', 1, 2): {2.5: 100000}, ('TwosAndThrees', 1, 2): {2.5: 100000}, ('SumOfOdds', 1, 2): {3.0: 100000}, ('SumOfEvens', 1, 2): {4.0: 100000}, ('DoubleThreesAndFours', 1, 2): {5.0: 100000}, ('QuadrupleOnesAndTwos', 1, 2): {5.0: 100000}, ('MicroStraight', 1, 2): {10: 0, 0: 100000}, ('ThreeOdds', 1, 2): {20: 0, 0: 100000}, ('OneTwoOneConsecutive', 1, 2): {30: 0, 0: 100000}, ('ThreeDistinctDice', 1, 2): {20: 0, 0: 100000}, ('TwoPair', 1, 2): {30: 0, 0: 100000}, ('TwoOneTwoConsecutive', 1, 2): {40: 0, 0: 100000}, ('FiveDistinctDice', 1, 2): {25: 0, 0: 100000}, ('FourAndFiveFullHouse', 1, 2): {50: 0, 0: 100000}, ('Distincts', 1, 3): {1: 100000}, ('TwoTimesOnes', 1, 3): {1.6666666666666667: 100000}, ('HalfOfSixes', 1, 3): {2.6666666666666665: 100000}, ('TwosAndThrees', 1, 3): {2.6666666666666665: 100000}, ('SumOfOdds', 1, 3): {3.3333333333333335: 100000}, ('SumOfEvens', 1, 3): {4.333333333333333: 100000}, ('DoubleThreesAndFours', 1, 3): {5.333333333333333: 100000}, ('QuadrupleOnesAndTwos', 1, 3): {5.333333333333333: 100000}, ('MicroStraight', 1, 3): {10: 0, 0: 100000}, ('ThreeOdds', 1, 3): {20: 0, 0: 100000}, ('OneTwoOneConsecutive', 1, 3): {30: 0, 0: 100000}, ('ThreeDistinctDice', 1, 3): {20: 0, 0: 100000}, ('TwoPair', 1, 3): {30: 0, 0: 100000}, ('TwoOneTwoConsecutive', 1, 3): {40: 0, 0: 100000}, ('FiveDistinctDice', 1, 3): {25: 0, 0: 100000}, ('FourAndFiveFullHouse', 1, 3): {50: 0, 0: 100000}, ('Distincts', 1, 4): {1: 100000}, ('TwoTimesOnes', 1, 4): {1.75: 100000}, ('HalfOfSixes', 1, 4): {2.75: 100000}, ('TwosAndThrees', 1, 4): {2.75: 100000}, ('SumOfOdds', 1, 4): {3.5: 100000}, ('SumOfEvens', 1, 4): {4.5: 100000}, ('DoubleThreesAndFours', 1, 4): {5.5: 100000}, ('QuadrupleOnesAndTwos', 1, 4): {5.5: 100000}, ('MicroStraight', 1, 4): {10: 0, 0: 100000}, ('ThreeOdds', 1, 4): {20: 0, 0: 100000}, ('OneTwoOneConsecutive', 1, 4): {30: 0, 0: 100000}, ('ThreeDistinctDice', 1, 4): {20: 0, 0: 100000}, ('TwoPair', 1, 4): {30: 0, 0: 100000}, ('TwoOneTwoConsecutive', 1, 4): {40: 0, 0: 100000}, ('FiveDistinctDice', 1, 4): {25: 0, 0: 100000}, ('FourAndFiveFullHouse', 1, 4): {50: 0, 0: 100000}, ('Distincts', 1, 5): {1: 100000}, ('TwoTimesOnes', 1, 5): {1.8: 100000}, ('HalfOfSixes', 1, 5): {2.8: 100000}, ('TwosAndThrees', 1, 5): {2.8: 100000}, ('SumOfOdds', 1, 5): {3.6: 100000}, ('SumOfEvens', 1, 5): {4.6: 100000}, ('DoubleThreesAndFours', 1, 5): {5.6: 100000}, ('QuadrupleOnesAndTwos', 1, 5): {5.6: 100000}, ('MicroStraight', 1, 5): {10: 0, 0: 100000}, ('ThreeOdds', 1, 5): {20: 0, 0: 100000}, ('OneTwoOneConsecutive', 1, 5): {30: 0, 0: 100000}, ('ThreeDistinctDice', 1, 5): {20: 0, 0: 100000}, ('TwoPair', 1, 5): {30: 0, 0: 100000}, ('TwoOneTwoConsecutive', 1, 5): {40: 0, 0: 100000}, ('FiveDistinctDice', 1, 5): {25: 0, 0: 100000}, ('FourAndFiveFullHouse', 1, 5): {50: 0, 0: 100000}, ('Distincts', 1, 6): {1: 100000}, ('TwoTimesOnes', 1, 6): {1.8333333333333333: 100000}, ('HalfOfSixes', 1, 6): {2.8333333333333335: 100000}, ('TwosAndThrees', 1, 6): {2.8333333333333335: 100000}, ('SumOfOdds', 1, 6): {3.6666666666666665: 100000}, ('SumOfEvens', 1, 6): {4.666666666666667: 100000}, ('DoubleThreesAndFours', 1, 6): {5.666666666666667: 100000}, ('QuadrupleOnesAndTwos', 1, 6): {5.666666666666667: 100000}, ('MicroStraight', 1, 6): {10: 0, 0: 100000}, ('ThreeOdds', 1, 6): {20: 0, 0: 100000}, ('OneTwoOneConsecutive', 1, 6): {30: 0, 0: 100000}, ('ThreeDistinctDice', 1, 6): {20: 0, 0: 100000}, ('TwoPair', 1, 6): {30: 0, 0: 100000}, ('TwoOneTwoConsecutive', 1, 6): {40: 0, 0: 100000}, ('FiveDistinctDice', 1, 6): {25: 0, 0: 100000}, ('FourAndFiveFullHouse', 1, 6): {50: 0, 0: 100000}, ('Distincts', 1, 7): {1: 100000}, ('TwoTimesOnes', 1, 7): {1.8571428571428572: 100000}, ('HalfOfSixes', 1, 7): {2.857142857142857: 100000}, ('TwosAndThrees', 1, 7): {2.857142857142857: 100000}, ('SumOfOdds', 1, 7): {3.7142857142857144: 100000}, ('SumOfEvens', 1, 7): {4.714285714285714: 100000}, ('DoubleThreesAndFours', 1, 7): {5.714285714285714: 100000}, ('QuadrupleOnesAndTwos', 1, 7): {5.714285714285714: 100000}, ('MicroStraight', 1, 7): {10: 0, 0: 100000}, ('ThreeOdds', 1, 7): {20: 0, 0: 100000}, ('OneTwoOneConsecutive', 1, 7): {30: 0, 0: 100000}, ('ThreeDistinctDice', 1, 7): {20: 0, 0: 100000}, ('TwoPair', 1, 7): {30: 0, 0: 100000}, ('TwoOneTwoConsecutive', 1, 7): {40: 0, 0: 100000}, ('FiveDistinctDice', 1, 7): {25: 0, 0: 100000}, ('FourAndFiveFullHouse', 1, 7): {50: 0, 0: 100000}, ('Distincts', 1, 8): {1: 100000}, ('TwoTimesOnes', 1, 8): {1.875: 100000}, ('HalfOfSixes', 1, 8): {2.875: 100000}, ('TwosAndThrees', 1, 8): {2.875: 100000}, ('SumOfOdds', 1, 8): {3.75: 100000}, ('SumOfEvens', 1, 8): {4.75: 100000}, ('DoubleThreesAndFours', 1, 8): {5.75: 100000}, ('QuadrupleOnesAndTwos', 1, 8): {5.75: 100000}, ('MicroStraight', 1, 8): {10: 0, 0: 100000}, ('ThreeOdds', 1, 8): {20: 0, 0: 100000}, ('OneTwoOneConsecutive', 1, 8): {30: 0, 0: 100000}, ('ThreeDistinctDice', 1, 8): {20: 0, 0: 100000}, ('TwoPair', 1, 8): {30: 0, 0: 100000}, ('TwoOneTwoConsecutive', 1, 8): {40: 0, 0: 100000}, ('FiveDistinctDice', 1, 8): {25: 0, 0: 100000}, ('FourAndFiveFullHouse', 1, 8): {50: 0, 0: 100000}, ('Distincts', 2, 1): {2: 100000}, ('TwoTimesOnes', 2, 1): {2.0: 100000}, ('HalfOfSixes', 2, 1): {4.0: 100000}, ('TwosAndThrees', 2, 1): {4.0: 100000}, ('SumOfOdds', 2, 1): {4.0: 100000}, ('SumOfEvens', 2, 1): {6.0: 100000}, ('DoubleThreesAndFours', 2, 1): {8.0: 100000}, ('QuadrupleOnesAndTwos', 2, 1): {8.0: 100000}, ('MicroStraight', 2, 1): {10: 0, 0: 100000}, ('ThreeOdds', 2, 1): {20: 0, 0: 100000}, ('OneTwoOneConsecutive', 2, 1): {30: 0, 0: 100000}, ('ThreeDistinctDice', 2, 1): {20: 0, 0: 100000}, ('TwoPair', 2, 1): {30: 0, 0: 100000}, ('TwoOneTwoConsecutive', 2, 1): {40: 0, 0: 100000}, ('FiveDistinctDice', 2, 1): {25: 0, 0: 100000}, ('FourAndFiveFullHouse', 2, 1): {50: 0, 0: 100000}, ('Distincts', 2, 2): {2: 100000}, ('TwoTimesOnes', 2, 2): {3.0: 100000}, ('HalfOfSixes', 2, 2): {5.0: 100000}, ('TwosAndThrees', 2, 2): {5.0: 100000}, ('SumOfOdds', 2, 2): {6.0: 100000}, ('SumOfEvens', 2, 2): {8.0: 100000}, ('DoubleThreesAndFours', 2, 2): {10.0: 100000}, ('QuadrupleOnesAndTwos', 2, 2): {10.0: 100000}, ('MicroStraight', 2, 2): {10: 0, 0: 100000}, ('ThreeOdds', 2, 2): {20: 0, 0: 100000}, ('OneTwoOneConsecutive', 2, 2): {30: 0, 0: 100000}, ('ThreeDistinctDice', 2, 2): {20: 0, 0: 100000}, ('TwoPair', 2, 2): {30: 0, 0: 100000}, ('TwoOneTwoConsecutive', 2, 2): {40: 0, 0: 100000}, ('FiveDistinctDice', 2, 2): {25: 0, 0: 100000}, ('FourAndFiveFullHouse', 2, 2): {50: 0, 0: 100000}, ('Distincts', 2, 3): {2: 100000}, ('TwoTimesOnes', 2, 3): {3.3333333333333335: 100000}, ('HalfOfSixes', 2, 3): {5.333333333333333: 100000}, ('TwosAndThrees', 2, 3): {5.333333333333333: 100000}, ('SumOfOdds', 2, 3): {6.666666666666667: 100000}, ('SumOfEvens', 2, 3): {8.666666666666666: 100000}, ('DoubleThreesAndFours', 2, 3): {10.666666666666666: 100000}, ('QuadrupleOnesAndTwos', 2, 3): {10.666666666666666: 100000}, ('MicroStraight', 2, 3): {10: 0, 0: 100000}, ('ThreeOdds', 2, 3): {20: 0, 0: 100000}, ('OneTwoOneConsecutive', 2, 3): {30: 0, 0: 100000}, ('ThreeDistinctDice', 2, 3): {20: 0, 0: 100000}, ('TwoPair', 2, 3): {30: 0, 0: 100000}, ('TwoOneTwoConsecutive', 2, 3): {40: 0, 0: 100000}, ('FiveDistinctDice', 2, 3): {25: 0, 0: 100000}, ('FourAndFiveFullHouse', 2, 3): {50: 0, 0: 100000}, ('Distincts', 2, 4): {2: 100000}, ('TwoTimesOnes', 2, 4): {3.5: 100000}, ('HalfOfSixes', 2, 4): {5.5: 100000}, ('TwosAndThrees', 2, 4): {5.5: 100000}, ('SumOfOdds', 2, 4): {7.0: 100000}, ('SumOfEvens', 2, 4): {9.0: 100000}, ('DoubleThreesAndFours', 2, 4): {11.0: 100000}, ('QuadrupleOnesAndTwos', 2, 4): {11.0: 100000}, ('MicroStraight', 2, 4): {10: 0, 0: 100000}, ('ThreeOdds', 2, 4): {20: 0, 0: 100000}, ('OneTwoOneConsecutive', 2, 4): {30: 0, 0: 100000}, ('ThreeDistinctDice', 2, 4): {20: 0, 0: 100000}, ('TwoPair', 2, 4): {30: 0, 0: 100000}, ('TwoOneTwoConsecutive', 2, 4): {40: 0, 0: 100000}, ('FiveDistinctDice', 2, 4): {25: 0, 0: 100000}, ('FourAndFiveFullHouse', 2, 4): {50: 0, 0: 100000}, ('Distincts', 2, 5): {2: 100000}, ('TwoTimesOnes', 2, 5): {3.6: 100000}, ('HalfOfSixes', 2, 5): {5.6: 100000}, ('TwosAndThrees', 2, 5): {5.6: 100000}, ('SumOfOdds', 2, 5): {7.2: 100000}, ('SumOfEvens', 2, 5): {9.2: 100000}, ('DoubleThreesAndFours', 2, 5): {11.2: 100000}, ('QuadrupleOnesAndTwos', 2, 5): {11.2: 100000}, ('MicroStraight', 2, 5): {10: 0, 0: 100000}, ('ThreeOdds', 2, 5): {20: 0, 0: 100000}, ('OneTwoOneConsecutive', 2, 5): {30: 0, 0: 100000}, ('ThreeDistinctDice', 2, 5): {20: 0, 0: 100000}, ('TwoPair', 2, 5): {30: 0, 0: 100000}, ('TwoOneTwoConsecutive', 2, 5): {40: 0, 0: 100000}, ('FiveDistinctDice', 2, 5): {25: 0, 0: 100000}, ('FourAndFiveFullHouse', 2, 5): {50: 0, 0: 100000}, ('Distincts', 2, 6): {2: 100000}, ('TwoTimesOnes', 2, 6): {3.6666666666666665: 100000}, ('HalfOfSixes', 2, 6): {5.666666666666667: 100000}, ('TwosAndThrees', 2, 6): {5.666666666666667: 100000}, ('SumOfOdds', 2, 6): {7.333333333333333: 100000}, ('SumOfEvens', 2, 6): {9.333333333333334: 100000}, ('DoubleThreesAndFours', 2, 6): {11.333333333333334: 100000}, ('QuadrupleOnesAndTwos', 2, 6): {11.333333333333334: 100000}, ('MicroStraight', 2, 6): {10: 0, 0: 100000}, ('ThreeOdds', 2, 6): {20: 0, 0: 100000}, ('OneTwoOneConsecutive', 2, 6): {30: 0, 0: 100000}, ('ThreeDistinctDice', 2, 6): {20: 0, 0: 100000}, ('TwoPair', 2, 6): {30: 0, 0: 100000}, ('TwoOneTwoConsecutive', 2, 6): {40: 0, 0: 100000}, ('FiveDistinctDice', 2, 6): {25: 0, 0: 100000}, ('FourAndFiveFullHouse', 2, 6): {50: 0, 0: 100000}, ('Distincts', 2, 7): {2: 100000}, ('TwoTimesOnes', 2, 7): {3.7142857142857144: 100000}, ('HalfOfSixes', 2, 7): {5.714285714285714: 100000}, ('TwosAndThrees', 2, 7): {5.714285714285714: 100000}, ('SumOfOdds', 2, 7): {7.428571428571429: 100000}, ('SumOfEvens', 2, 7): {9.428571428571429: 100000}, ('DoubleThreesAndFours', 2, 7): {11.428571428571429: 100000}, ('QuadrupleOnesAndTwos', 2, 7): {11.428571428571429: 100000}, ('MicroStraight', 2, 7): {10: 0, 0: 100000}, ('ThreeOdds', 2, 7): {20: 0, 0: 100000}, ('OneTwoOneConsecutive', 2, 7): {30: 0, 0: 100000}, ('ThreeDistinctDice', 2, 7): {20: 0, 0: 100000}, ('TwoPair', 2, 7): {30: 0, 0: 100000}, ('TwoOneTwoConsecutive', 2, 7): {40: 0, 0: 100000}, ('FiveDistinctDice', 2, 7): {25: 0, 0: 100000}, ('FourAndFiveFullHouse', 2, 7): {50: 0, 0: 100000}, ('Distincts', 2, 8): {2: 100000}, ('TwoTimesOnes', 2, 8): {3.75: 100000}, ('HalfOfSixes', 2, 8): {5.75: 100000}, ('TwosAndThrees', 2, 8): {5.75: 100000}, ('SumOfOdds', 2, 8): {7.5: 100000}, ('SumOfEvens', 2, 8): {9.5: 100000}, ('DoubleThreesAndFours', 2, 8): {11.5: 100000}, ('QuadrupleOnesAndTwos', 2, 8): {11.5: 100000}, ('MicroStraight', 2, 8): {10: 0, 0: 100000}, ('ThreeOdds', 2, 8): {20: 0, 0: 100000}, ('OneTwoOneConsecutive', 2, 8): {30: 0, 0: 100000}, ('ThreeDistinctDice', 2, 8): {20: 0, 0: 100000}, ('TwoPair', 2, 8): {30: 0, 0: 100000}, ('TwoOneTwoConsecutive', 2, 8): {40: 0, 0: 100000}, ('FiveDistinctDice', 2, 8): {25: 0, 0: 100000}, ('FourAndFiveFullHouse', 2, 8): {50: 0, 0: 100000}, ('Distincts', 3, 1): {3: 100000}, ('TwoTimesOnes', 3, 1): {3.0: 100000}, ('HalfOfSixes', 3, 1): {6.0: 100000}, ('TwosAndThrees', 3, 1): {6.0: 100000}, ('SumOfOdds', 3, 1): {6.0: 100000}, ('SumOfEvens', 3, 1): {9.0: 100000}, ('DoubleThreesAndFours', 3, 1): {12.0: 100000}, ('QuadrupleOnesAndTwos', 3, 1): {12.0: 100000}, ('MicroStraight', 3, 1): {10: 0, 0: 100000}, ('ThreeOdds', 3, 1): {20: 0, 0: 100000}, ('OneTwoOneConsecutive', 3, 1): {30: 0, 0: 100000}, ('ThreeDistinctDice', 3, 1): {20: 0, 0: 100000}, ('TwoPair', 3, 1): {30: 0, 0: 100000}, ('TwoOneTwoConsecutive', 3, 1): {40: 0, 0: 100000}, ('FiveDistinctDice', 3, 1): {25: 0, 0: 100000}, ('FourAndFiveFullHouse', 3, 1): {50: 0, 0: 100000}, ('Distincts', 3, 2): {3: 100000}, ('TwoTimesOnes', 3, 2): {4.5: 100000}, ('HalfOfSixes', 3, 2): {7.5: 100000}, ('TwosAndThrees', 3, 2): {7.5: 100000}, ('SumOfOdds', 3, 2): {9.0: 100000}, ('SumOfEvens', 3, 2): {12.0: 100000}, ('DoubleThreesAndFours', 3, 2): {15.0: 100000}, ('QuadrupleOnesAndTwos', 3, 2): {15.0: 100000}, ('MicroStraight', 3, 2): {10: 44999.99999999999, 0: 55000.00000000001}, ('ThreeOdds', 3, 2): {20: 44999.99999999999, 0: 55000.00000000001}, ('OneTwoOneConsecutive', 3, 2): {30: 0, 0: 100000}, ('ThreeDistinctDice', 3, 2): {20: 44999.99999999999, 0: 55000.00000000001}, ('TwoPair', 3, 2): {30: 0, 0: 100000}, ('TwoOneTwoConsecutive', 3, 2): {40: 0, 0: 100000}, ('FiveDistinctDice', 3, 2): {25: 0, 0: 100000}, ('FourAndFiveFullHouse', 3, 2): {50: 0, 0: 100000}, ('Distincts', 3, 3): {3: 100000}, ('TwoTimesOnes', 3, 3): {5.0: 100000}, ('HalfOfSixes', 3, 3): {8.0: 100000}, ('TwosAndThrees', 3, 3): {8.0: 100000}, ('SumOfOdds', 3, 3): {10.0: 100000}, ('SumOfEvens', 3, 3): {13.0: 100000}, ('DoubleThreesAndFours', 3, 3): {16.0: 100000}, ('QuadrupleOnesAndTwos', 3, 3): {16.0: 100000}, ('MicroStraight', 3, 3): {10: 63333.33333333333, 0: 36666.66666666667}, ('ThreeOdds', 3, 3): {20: 63333.33333333333, 0: 36666.66666666667}, ('OneTwoOneConsecutive', 3, 3): {30: 0, 0: 100000}, ('ThreeDistinctDice', 3, 3): {20: 63333.33333333333, 0: 36666.66666666667}, ('TwoPair', 3, 3): {30: 0, 0: 100000}, ('TwoOneTwoConsecutive', 3, 3): {40: 0, 0: 100000}, ('FiveDistinctDice', 3, 3): {25: 0, 0: 100000}, ('FourAndFiveFullHouse', 3, 3): {50: 0, 0: 100000}, ('Distincts', 3, 4): {3: 100000}, ('TwoTimesOnes', 3, 4): {5.25: 100000}, ('HalfOfSixes', 3, 4): {8.25: 100000}, ('TwosAndThrees', 3, 4): {8.25: 100000}, ('SumOfOdds', 3, 4): {10.5: 100000}, ('SumOfEvens', 3, 4): {13.5: 100000}, ('DoubleThreesAndFours', 3, 4): {16.5: 100000}, ('QuadrupleOnesAndTwos', 3, 4): {16.5: 100000}, ('MicroStraight', 3, 4): {10: 72500.0, 0: 27500.000000000004}, ('ThreeOdds', 3, 4): {20: 72500.0, 0: 27500.000000000004}, ('OneTwoOneConsecutive', 3, 4): {30: 0, 0: 100000}, ('ThreeDistinctDice', 3, 4): {20: 72500.0, 0: 27500.000000000004}, ('TwoPair', 3, 4): {30: 0, 0: 100000}, ('TwoOneTwoConsecutive', 3, 4): {40: 0, 0: 100000}, ('FiveDistinctDice', 3, 4): {25: 0, 0: 100000}, ('FourAndFiveFullHouse', 3, 4): {50: 0, 0: 100000}, ('Distincts', 3, 5): {3: 100000}, ('TwoTimesOnes', 3, 5): {5.4: 100000}, ('HalfOfSixes', 3, 5): {8.399999999999999: 100000}, ('TwosAndThrees', 3, 5): {8.399999999999999: 100000}, ('SumOfOdds', 3, 5): {10.8: 100000}, ('SumOfEvens', 3, 5): {13.799999999999999: 100000}, ('DoubleThreesAndFours', 3, 5): {16.799999999999997: 100000}, ('QuadrupleOnesAndTwos', 3, 5): {16.799999999999997: 100000}, ('MicroStraight', 3, 5): {10: 78000.0, 0: 21999.999999999996}, ('ThreeOdds', 3, 5): {20: 78000.0, 0: 21999.999999999996}, ('OneTwoOneConsecutive', 3, 5): {30: 0, 0: 100000}, ('ThreeDistinctDice', 3, 5): {20: 78000.0, 0: 21999.999999999996}, ('TwoPair', 3, 5): {30: 0, 0: 100000}, ('TwoOneTwoConsecutive', 3, 5): {40: 0, 0: 100000}, ('FiveDistinctDice', 3, 5): {25: 0, 0: 100000}, ('FourAndFiveFullHouse', 3, 5): {50: 0, 0: 100000}, ('Distincts', 3, 6): {3: 100000}, ('TwoTimesOnes', 3, 6): {5.5: 100000}, ('HalfOfSixes', 3, 6): {8.5: 100000}, ('TwosAndThrees', 3, 6): {8.5: 100000}, ('SumOfOdds', 3, 6): {11.0: 100000}, ('SumOfEvens', 3, 6): {14.0: 100000}, ('DoubleThreesAndFours', 3, 6): {17.0: 100000}, ('QuadrupleOnesAndTwos', 3, 6): {17.0: 100000}, ('MicroStraight', 3, 6): {10: 81666.66666666667, 0: 18333.333333333336}, ('ThreeOdds', 3, 6): {20: 81666.66666666667, 0: 18333.333333333336}, ('OneTwoOneConsecutive', 3, 6): {30: 0, 0: 100000}, ('ThreeDistinctDice', 3, 6): {20: 81666.66666666667, 0: 18333.333333333336}, ('TwoPair', 3, 6): {30: 0, 0: 100000}, ('TwoOneTwoConsecutive', 3, 6): {40: 0, 0: 100000}, ('FiveDistinctDice', 3, 6): {25: 0, 0: 100000}, ('FourAndFiveFullHouse', 3, 6): {50: 0, 0: 100000}, ('Distincts', 3, 7): {3: 100000}, ('TwoTimesOnes', 3, 7): {5.571428571428571: 100000}, ('HalfOfSixes', 3, 7): {8.571428571428571: 100000}, ('TwosAndThrees', 3, 7): {8.571428571428571: 100000}, ('SumOfOdds', 3, 7): {11.142857142857142: 100000}, ('SumOfEvens', 3, 7): {14.142857142857142: 100000}, ('DoubleThreesAndFours', 3, 7): {17.142857142857142: 100000}, ('QuadrupleOnesAndTwos', 3, 7): {17.142857142857142: 100000}, ('MicroStraight', 3, 7): {10: 84285.71428571429, 0: 15714.285714285714}, ('ThreeOdds', 3, 7): {20: 84285.71428571429, 0: 15714.285714285714}, ('OneTwoOneConsecutive', 3, 7): {30: 0, 0: 100000}, ('ThreeDistinctDice', 3, 7): {20: 84285.71428571429, 0: 15714.285714285714}, ('TwoPair', 3, 7): {30: 0, 0: 100000}, ('TwoOneTwoConsecutive', 3, 7): {40: 0, 0: 100000}, ('FiveDistinctDice', 3, 7): {25: 0, 0: 100000}, ('FourAndFiveFullHouse', 3, 7): {50: 0, 0: 100000}, ('Distincts', 3, 8): {3: 100000}, ('TwoTimesOnes', 3, 8): {5.625: 100000}, ('HalfOfSixes', 3, 8): {8.625: 100000}, ('TwosAndThrees', 3, 8): {8.625: 100000}, ('SumOfOdds', 3, 8): {11.25: 100000}, ('SumOfEvens', 3, 8): {14.25: 100000}, ('DoubleThreesAndFours', 3, 8): {17.25: 100000}, ('QuadrupleOnesAndTwos', 3, 8): {17.25: 100000}, ('MicroStraight', 3, 8): {10: 86250.0, 0: 13749.999999999996}, ('ThreeOdds', 3, 8): {20: 86250.0, 0: 13749.999999999996}, ('OneTwoOneConsecutive', 3, 8): {30: 0, 0: 100000}, ('ThreeDistinctDice', 3, 8): {20: 86250.0, 0: 13749.999999999996}, ('TwoPair', 3, 8): {30: 0, 0: 100000}, ('TwoOneTwoConsecutive', 3, 8): {40: 0, 0: 100000}, ('FiveDistinctDice', 3, 8): {25: 0, 0: 100000}, ('FourAndFiveFullHouse', 3, 8): {50: 0, 0: 100000}, ('Distincts', 4, 1): {4: 100000}, ('TwoTimesOnes', 4, 1): {4.0: 100000}, ('HalfOfSixes', 4, 1): {8.0: 100000}, ('TwosAndThrees', 4, 1): {8.0: 100000}, ('SumOfOdds', 4, 1): {8.0: 100000}, ('SumOfEvens', 4, 1): {12.0: 100000}, ('DoubleThreesAndFours', 4, 1): {16.0: 100000}, ('QuadrupleOnesAndTwos', 4, 1): {16.0: 100000}, ('MicroStraight', 4, 1): {10: 89999.99999999999, 0: 10000.00000000001}, ('ThreeOdds', 4, 1): {20: 89999.99999999999, 0: 10000.00000000001}, ('OneTwoOneConsecutive', 4, 1): {30: 0, 0: 100000}, ('ThreeDistinctDice', 4, 1): {20: 89999.99999999999, 0: 10000.00000000001}, ('TwoPair', 4, 1): {30: 0, 0: 100000}, ('TwoOneTwoConsecutive', 4, 1): {40: 0, 0: 100000}, ('FiveDistinctDice', 4, 1): {25: 0, 0: 100000}, ('FourAndFiveFullHouse', 4, 1): {50: 0, 0: 100000}, ('Distincts', 4, 2): {4: 100000}, ('TwoTimesOnes', 4, 2): {6.0: 100000}, ('HalfOfSixes', 4, 2): {10.0: 100000}, ('TwosAndThrees', 4, 2): {10.0: 100000}, ('SumOfOdds', 4, 2): {12.0: 100000}, ('SumOfEvens', 4, 2): {16.0: 100000}, ('DoubleThreesAndFours', 4, 2): {20.0: 100000}, ('QuadrupleOnesAndTwos', 4, 2): {20.0: 100000}, ('MicroStraight', 4, 2): {10: 100000, 0: 0}, ('ThreeOdds', 4, 2): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 4, 2): {30: 40000.0, 0: 60000.0}, ('ThreeDistinctDice', 4, 2): {20: 100000, 0: 0}, ('TwoPair', 4, 2): {30: 50000.0, 0: 50000.0}, ('TwoOneTwoConsecutive', 4, 2): {40: 0, 0: 100000}, ('FiveDistinctDice', 4, 2): {25: 0, 0: 100000}, ('FourAndFiveFullHouse', 4, 2): {50: 0, 0: 100000}, ('Distincts', 4, 3): {4: 100000}, ('TwoTimesOnes', 4, 3): {6.666666666666667: 100000}, ('HalfOfSixes', 4, 3): {10.666666666666666: 100000}, ('TwosAndThrees', 4, 3): {10.666666666666666: 100000}, ('SumOfOdds', 4, 3): {13.333333333333334: 100000}, ('SumOfEvens', 4, 3): {17.333333333333332: 100000}, ('DoubleThreesAndFours', 4, 3): {21.333333333333332: 100000}, ('QuadrupleOnesAndTwos', 4, 3): {21.333333333333332: 100000}, ('MicroStraight', 4, 3): {10: 100000, 0: 0}, ('ThreeOdds', 4, 3): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 4, 3): {30: 60000.00000000001, 0: 39999.99999999999}, ('ThreeDistinctDice', 4, 3): {20: 100000, 0: 0}, ('TwoPair', 4, 3): {30: 66666.66666666667, 0: 33333.33333333333}, ('TwoOneTwoConsecutive', 4, 3): {40: 0, 0: 100000}, ('FiveDistinctDice', 4, 3): {25: 0, 0: 100000}, ('FourAndFiveFullHouse', 4, 3): {50: 0, 0: 100000}, ('Distincts', 4, 4): {4: 100000}, ('TwoTimesOnes', 4, 4): {7.0: 100000}, ('HalfOfSixes', 4, 4): {11.0: 100000}, ('TwosAndThrees', 4, 4): {11.0: 100000}, ('SumOfOdds', 4, 4): {14.0: 100000}, ('SumOfEvens', 4, 4): {18.0: 100000}, ('DoubleThreesAndFours', 4, 4): {22.0: 100000}, ('QuadrupleOnesAndTwos', 4, 4): {22.0: 100000}, ('MicroStraight', 4, 4): {10: 100000, 0: 0}, ('ThreeOdds', 4, 4): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 4, 4): {30: 70000.0, 0: 30000.000000000004}, ('ThreeDistinctDice', 4, 4): {20: 100000, 0: 0}, ('TwoPair', 4, 4): {30: 75000.0, 0: 25000.0}, ('TwoOneTwoConsecutive', 4, 4): {40: 0, 0: 100000}, ('FiveDistinctDice', 4, 4): {25: 0, 0: 100000}, ('FourAndFiveFullHouse', 4, 4): {50: 0, 0: 100000}, ('Distincts', 4, 5): {4: 100000}, ('TwoTimesOnes', 4, 5): {7.2: 100000}, ('HalfOfSixes', 4, 5): {11.2: 100000}, ('TwosAndThrees', 4, 5): {11.2: 100000}, ('SumOfOdds', 4, 5): {14.4: 100000}, ('SumOfEvens', 4, 5): {18.4: 100000}, ('DoubleThreesAndFours', 4, 5): {22.4: 100000}, ('QuadrupleOnesAndTwos', 4, 5): {22.4: 100000}, ('MicroStraight', 4, 5): {10: 100000, 0: 0}, ('ThreeOdds', 4, 5): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 4, 5): {30: 76000.0, 0: 24000.0}, ('ThreeDistinctDice', 4, 5): {20: 100000, 0: 0}, ('TwoPair', 4, 5): {30: 80000.0, 0: 19999.999999999996}, ('TwoOneTwoConsecutive', 4, 5): {40: 0, 0: 100000}, ('FiveDistinctDice', 4, 5): {25: 0, 0: 100000}, ('FourAndFiveFullHouse', 4, 5): {50: 0, 0: 100000}, ('Distincts', 4, 6): {4: 100000}, ('TwoTimesOnes', 4, 6): {7.333333333333333: 100000}, ('HalfOfSixes', 4, 6): {11.333333333333334: 100000}, ('TwosAndThrees', 4, 6): {11.333333333333334: 100000}, ('SumOfOdds', 4, 6): {14.666666666666666: 100000}, ('SumOfEvens', 4, 6): {18.666666666666668: 100000}, ('DoubleThreesAndFours', 4, 6): {22.666666666666668: 100000}, ('QuadrupleOnesAndTwos', 4, 6): {22.666666666666668: 100000}, ('MicroStraight', 4, 6): {10: 100000, 0: 0}, ('ThreeOdds', 4, 6): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 4, 6): {30: 80000.0, 0: 19999.999999999996}, ('ThreeDistinctDice', 4, 6): {20: 100000, 0: 0}, ('TwoPair', 4, 6): {30: 83333.33333333334, 0: 16666.666666666664}, ('TwoOneTwoConsecutive', 4, 6): {40: 0, 0: 100000}, ('FiveDistinctDice', 4, 6): {25: 0, 0: 100000}, ('FourAndFiveFullHouse', 4, 6): {50: 0, 0: 100000}, ('Distincts', 4, 7): {4: 100000}, ('TwoTimesOnes', 4, 7): {7.428571428571429: 100000}, ('HalfOfSixes', 4, 7): {11.428571428571429: 100000}, ('TwosAndThrees', 4, 7): {11.428571428571429: 100000}, ('SumOfOdds', 4, 7): {14.857142857142858: 100000}, ('SumOfEvens', 4, 7): {18.857142857142858: 100000}, ('DoubleThreesAndFours', 4, 7): {22.857142857142858: 100000}, ('QuadrupleOnesAndTwos', 4, 7): {22.857142857142858: 100000}, ('MicroStraight', 4, 7): {10: 100000, 0: 0}, ('ThreeOdds', 4, 7): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 4, 7): {30: 82857.14285714286, 0: 17142.85714285715}, ('ThreeDistinctDice', 4, 7): {20: 100000, 0: 0}, ('TwoPair', 4, 7): {30: 85714.28571428572, 0: 14285.714285714279}, ('TwoOneTwoConsecutive', 4, 7): {40: 0, 0: 100000}, ('FiveDistinctDice', 4, 7): {25: 0, 0: 100000}, ('FourAndFiveFullHouse', 4, 7): {50: 0, 0: 100000}, ('Distincts', 4, 8): {4: 100000}, ('TwoTimesOnes', 4, 8): {7.5: 100000}, ('HalfOfSixes', 4, 8): {11.5: 100000}, ('TwosAndThrees', 4, 8): {11.5: 100000}, ('SumOfOdds', 4, 8): {15.0: 100000}, ('SumOfEvens', 4, 8): {19.0: 100000}, ('DoubleThreesAndFours', 4, 8): {23.0: 100000}, ('QuadrupleOnesAndTwos', 4, 8): {23.0: 100000}, ('MicroStraight', 4, 8): {10: 100000, 0: 0}, ('ThreeOdds', 4, 8): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 4, 8): {30: 85000.0, 0: 15000.000000000002}, ('ThreeDistinctDice', 4, 8): {20: 100000, 0: 0}, ('TwoPair', 4, 8): {30: 87500.0, 0: 12500.0}, ('TwoOneTwoConsecutive', 4, 8): {40: 0, 0: 100000}, ('FiveDistinctDice', 4, 8): {25: 0, 0: 100000}, ('FourAndFiveFullHouse', 4, 8): {50: 0, 0: 100000}, ('Distincts', 5, 1): {5: 100000}, ('TwoTimesOnes', 5, 1): {5.0: 100000}, ('HalfOfSixes', 5, 1): {10.0: 100000}, ('TwosAndThrees', 5, 1): {10.0: 100000}, ('SumOfOdds', 5, 1): {10.0: 100000}, ('SumOfEvens', 5, 1): {15.0: 100000}, ('DoubleThreesAndFours', 5, 1): {20.0: 100000}, ('QuadrupleOnesAndTwos', 5, 1): {20.0: 100000}, ('MicroStraight', 5, 1): {10: 100000, 0: 0}, ('ThreeOdds', 5, 1): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 5, 1): {30: 80000.0, 0: 19999.999999999996}, ('ThreeDistinctDice', 5, 1): {20: 100000, 0: 0}, ('TwoPair', 5, 1): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 5, 1): {40: 0, 0: 100000}, ('FiveDistinctDice', 5, 1): {25: 0, 0: 100000}, ('FourAndFiveFullHouse', 5, 1): {50: 0, 0: 100000}, ('Distincts', 5, 2): {5: 100000}, ('TwoTimesOnes', 5, 2): {7.5: 100000}, ('HalfOfSixes', 5, 2): {12.5: 100000}, ('TwosAndThrees', 5, 2): {12.5: 100000}, ('SumOfOdds', 5, 2): {15.0: 100000}, ('SumOfEvens', 5, 2): {20.0: 100000}, ('DoubleThreesAndFours', 5, 2): {25.0: 100000}, ('QuadrupleOnesAndTwos', 5, 2): {25.0: 100000}, ('MicroStraight', 5, 2): {10: 100000, 0: 0}, ('ThreeOdds', 5, 2): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 5, 2): {30: 100000, 0: 0}, ('ThreeDistinctDice', 5, 2): {20: 100000, 0: 0}, ('TwoPair', 5, 2): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 5, 2): {40: 35000.0, 0: 65000.0}, ('FiveDistinctDice', 5, 2): {25: 25000.0, 0: 75000.0}, ('FourAndFiveFullHouse', 5, 2): {50: 0, 0: 100000}, ('Distincts', 5, 3): {5: 100000}, ('TwoTimesOnes', 5, 3): {8.333333333333334: 100000}, ('HalfOfSixes', 5, 3): {13.333333333333332: 100000}, ('TwosAndThrees', 5, 3): {13.333333333333332: 100000}, ('SumOfOdds', 5, 3): {16.666666666666668: 100000}, ('SumOfEvens', 5, 3): {21.666666666666664: 100000}, ('DoubleThreesAndFours', 5, 3): {26.666666666666664: 100000}, ('QuadrupleOnesAndTwos', 5, 3): {26.666666666666664: 100000}, ('MicroStraight', 5, 3): {10: 100000, 0: 0}, ('ThreeOdds', 5, 3): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 5, 3): {30: 100000, 0: 0}, ('ThreeDistinctDice', 5, 3): {20: 100000, 0: 0}, ('TwoPair', 5, 3): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 5, 3): {40: 56666.666666666664, 0: 43333.333333333336}, ('FiveDistinctDice', 5, 3): {25: 50000.0, 0: 50000.0}, ('FourAndFiveFullHouse', 5, 3): {50: 33333.333333333336, 0: 66666.66666666666}, ('Distincts', 5, 4): {5: 100000}, ('TwoTimesOnes', 5, 4): {8.75: 100000}, ('HalfOfSixes', 5, 4): {13.75: 100000}, ('TwosAndThrees', 5, 4): {13.75: 100000}, ('SumOfOdds', 5, 4): {17.5: 100000}, ('SumOfEvens', 5, 4): {22.5: 100000}, ('DoubleThreesAndFours', 5, 4): {27.5: 100000}, ('QuadrupleOnesAndTwos', 5, 4): {27.5: 100000}, ('MicroStraight', 5, 4): {10: 100000, 0: 0}, ('ThreeOdds', 5, 4): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 5, 4): {30: 100000, 0: 0}, ('ThreeDistinctDice', 5, 4): {20: 100000, 0: 0}, ('TwoPair', 5, 4): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 5, 4): {40: 67500.0, 0: 32499.999999999996}, ('FiveDistinctDice', 5, 4): {25: 62500.0, 0: 37500.0}, ('FourAndFiveFullHouse', 5, 4): {50: 50000.0, 0: 50000.0}, ('Distincts', 5, 5): {5: 100000}, ('TwoTimesOnes', 5, 5): {9.0: 100000}, ('HalfOfSixes', 5, 5): {14.0: 100000}, ('TwosAndThrees', 5, 5): {14.0: 100000}, ('SumOfOdds', 5, 5): {18.0: 100000}, ('SumOfEvens', 5, 5): {23.0: 100000}, ('DoubleThreesAndFours', 5, 5): {28.0: 100000}, ('QuadrupleOnesAndTwos', 5, 5): {28.0: 100000}, ('MicroStraight', 5, 5): {10: 100000, 0: 0}, ('ThreeOdds', 5, 5): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 5, 5): {30: 100000, 0: 0}, ('ThreeDistinctDice', 5, 5): {20: 100000, 0: 0}, ('TwoPair', 5, 5): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 5, 5): {40: 74000.0, 0: 26000.0}, ('FiveDistinctDice', 5, 5): {25: 70000.0, 0: 30000.000000000004}, ('FourAndFiveFullHouse', 5, 5): {50: 60000.0, 0: 40000.0}, ('Distincts', 5, 6): {5: 100000}, ('TwoTimesOnes', 5, 6): {9.166666666666666: 100000}, ('HalfOfSixes', 5, 6): {14.166666666666668: 100000}, ('TwosAndThrees', 5, 6): {14.166666666666668: 100000}, ('SumOfOdds', 5, 6): {18.333333333333332: 100000}, ('SumOfEvens', 5, 6): {23.333333333333336: 100000}, ('DoubleThreesAndFours', 5, 6): {28.333333333333336: 100000}, ('QuadrupleOnesAndTwos', 5, 6): {28.333333333333336: 100000}, ('MicroStraight', 5, 6): {10: 100000, 0: 0}, ('ThreeOdds', 5, 6): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 5, 6): {30: 100000, 0: 0}, ('ThreeDistinctDice', 5, 6): {20: 100000, 0: 0}, ('TwoPair', 5, 6): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 5, 6): {40: 78333.33333333333, 0: 21666.666666666668}, ('FiveDistinctDice', 5, 6): {25: 75000.0, 0: 25000.0}, ('FourAndFiveFullHouse', 5, 6): {50: 66666.66666666667, 0: 33333.33333333333}, ('Distincts', 5, 7): {5: 100000}, ('TwoTimesOnes', 5, 7): {9.285714285714286: 100000}, ('HalfOfSixes', 5, 7): {14.285714285714286: 100000}, ('TwosAndThrees', 5, 7): {14.285714285714286: 100000}, ('SumOfOdds', 5, 7): {18.571428571428573: 100000}, ('SumOfEvens', 5, 7): {23.571428571428573: 100000}, ('DoubleThreesAndFours', 5, 7): {28.571428571428573: 100000}, ('QuadrupleOnesAndTwos', 5, 7): {28.571428571428573: 100000}, ('MicroStraight', 5, 7): {10: 100000, 0: 0}, ('ThreeOdds', 5, 7): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 5, 7): {30: 100000, 0: 0}, ('ThreeDistinctDice', 5, 7): {20: 100000, 0: 0}, ('TwoPair', 5, 7): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 5, 7): {40: 81428.57142857143, 0: 18571.428571428572}, ('FiveDistinctDice', 5, 7): {25: 78571.42857142857, 0: 21428.57142857143}, ('FourAndFiveFullHouse', 5, 7): {50: 71428.57142857143, 0: 28571.42857142857}, ('Distincts', 5, 8): {5: 100000}, ('TwoTimesOnes', 5, 8): {9.375: 100000}, ('HalfOfSixes', 5, 8): {14.375: 100000}, ('TwosAndThrees', 5, 8): {14.375: 100000}, ('SumOfOdds', 5, 8): {18.75: 100000}, ('SumOfEvens', 5, 8): {23.75: 100000}, ('DoubleThreesAndFours', 5, 8): {28.75: 100000}, ('QuadrupleOnesAndTwos', 5, 8): {28.75: 100000}, ('MicroStraight', 5, 8): {10: 100000, 0: 0}, ('ThreeOdds', 5, 8): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 5, 8): {30: 100000, 0: 0}, ('ThreeDistinctDice', 5, 8): {20: 100000, 0: 0}, ('TwoPair', 5, 8): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 5, 8): {40: 83750.0, 0: 16249.999999999998}, ('FiveDistinctDice', 5, 8): {25: 81250.0, 0: 18750.0}, ('FourAndFiveFullHouse', 5, 8): {50: 75000.0, 0: 25000.0}, ('Distincts', 6, 1): {6: 100000}, ('TwoTimesOnes', 6, 1): {6.0: 100000}, ('HalfOfSixes', 6, 1): {12.0: 100000}, ('TwosAndThrees', 6, 1): {12.0: 100000}, ('SumOfOdds', 6, 1): {12.0: 100000}, ('SumOfEvens', 6, 1): {18.0: 100000}, ('DoubleThreesAndFours', 6, 1): {24.0: 100000}, ('QuadrupleOnesAndTwos', 6, 1): {24.0: 100000}, ('MicroStraight', 6, 1): {10: 100000, 0: 0}, ('ThreeOdds', 6, 1): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 6, 1): {30: 100000, 0: 0}, ('ThreeDistinctDice', 6, 1): {20: 100000, 0: 0}, ('TwoPair', 6, 1): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 6, 1): {40: 70000.0, 0: 30000.000000000004}, ('FiveDistinctDice', 6, 1): {25: 50000.0, 0: 50000.0}, ('FourAndFiveFullHouse', 6, 1): {50: 0, 0: 100000}, ('Distincts', 6, 2): {6: 100000}, ('TwoTimesOnes', 6, 2): {9.0: 100000}, ('HalfOfSixes', 6, 2): {15.0: 100000}, ('TwosAndThrees', 6, 2): {15.0: 100000}, ('SumOfOdds', 6, 2): {18.0: 100000}, ('SumOfEvens', 6, 2): {24.0: 100000}, ('DoubleThreesAndFours', 6, 2): {30.0: 100000}, ('QuadrupleOnesAndTwos', 6, 2): {30.0: 100000}, ('MicroStraight', 6, 2): {10: 100000, 0: 0}, ('ThreeOdds', 6, 2): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 6, 2): {30: 100000, 0: 0}, ('ThreeDistinctDice', 6, 2): {20: 100000, 0: 0}, ('TwoPair', 6, 2): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 6, 2): {40: 100000, 0: 0}, ('FiveDistinctDice', 6, 2): {25: 100000, 0: 0}, ('FourAndFiveFullHouse', 6, 2): {50: 100000, 0: 0}, ('Distincts', 6, 3): {6: 100000}, ('TwoTimesOnes', 6, 3): {10.0: 100000}, ('HalfOfSixes', 6, 3): {16.0: 100000}, ('TwosAndThrees', 6, 3): {16.0: 100000}, ('SumOfOdds', 6, 3): {20.0: 100000}, ('SumOfEvens', 6, 3): {26.0: 100000}, ('DoubleThreesAndFours', 6, 3): {32.0: 100000}, ('QuadrupleOnesAndTwos', 6, 3): {32.0: 100000}, ('MicroStraight', 6, 3): {10: 100000, 0: 0}, ('ThreeOdds', 6, 3): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 6, 3): {30: 100000, 0: 0}, ('ThreeDistinctDice', 6, 3): {20: 100000, 0: 0}, ('TwoPair', 6, 3): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 6, 3): {40: 100000, 0: 0}, ('FiveDistinctDice', 6, 3): {25: 100000, 0: 0}, ('FourAndFiveFullHouse', 6, 3): {50: 100000, 0: 0}, ('Distincts', 6, 4): {6: 100000}, ('TwoTimesOnes', 6, 4): {10.5: 100000}, ('HalfOfSixes', 6, 4): {16.5: 100000}, ('TwosAndThrees', 6, 4): {16.5: 100000}, ('SumOfOdds', 6, 4): {21.0: 100000}, ('SumOfEvens', 6, 4): {27.0: 100000}, ('DoubleThreesAndFours', 6, 4): {33.0: 100000}, ('QuadrupleOnesAndTwos', 6, 4): {33.0: 100000}, ('MicroStraight', 6, 4): {10: 100000, 0: 0}, ('ThreeOdds', 6, 4): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 6, 4): {30: 100000, 0: 0}, ('ThreeDistinctDice', 6, 4): {20: 100000, 0: 0}, ('TwoPair', 6, 4): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 6, 4): {40: 100000, 0: 0}, ('FiveDistinctDice', 6, 4): {25: 100000, 0: 0}, ('FourAndFiveFullHouse', 6, 4): {50: 100000, 0: 0}, ('Distincts', 6, 5): {6: 100000}, ('TwoTimesOnes', 6, 5): {10.8: 100000}, ('HalfOfSixes', 6, 5): {16.799999999999997: 100000}, ('TwosAndThrees', 6, 5): {16.799999999999997: 100000}, ('SumOfOdds', 6, 5): {21.6: 100000}, ('SumOfEvens', 6, 5): {27.599999999999998: 100000}, ('DoubleThreesAndFours', 6, 5): {33.599999999999994: 100000}, ('QuadrupleOnesAndTwos', 6, 5): {33.599999999999994: 100000}, ('MicroStraight', 6, 5): {10: 100000, 0: 0}, ('ThreeOdds', 6, 5): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 6, 5): {30: 100000, 0: 0}, ('ThreeDistinctDice', 6, 5): {20: 100000, 0: 0}, ('TwoPair', 6, 5): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 6, 5): {40: 100000, 0: 0}, ('FiveDistinctDice', 6, 5): {25: 100000, 0: 0}, ('FourAndFiveFullHouse', 6, 5): {50: 100000, 0: 0}, ('Distincts', 6, 6): {6: 100000}, ('TwoTimesOnes', 6, 6): {11.0: 100000}, ('HalfOfSixes', 6, 6): {17.0: 100000}, ('TwosAndThrees', 6, 6): {17.0: 100000}, ('SumOfOdds', 6, 6): {22.0: 100000}, ('SumOfEvens', 6, 6): {28.0: 100000}, ('DoubleThreesAndFours', 6, 6): {34.0: 100000}, ('QuadrupleOnesAndTwos', 6, 6): {34.0: 100000}, ('MicroStraight', 6, 6): {10: 100000, 0: 0}, ('ThreeOdds', 6, 6): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 6, 6): {30: 100000, 0: 0}, ('ThreeDistinctDice', 6, 6): {20: 100000, 0: 0}, ('TwoPair', 6, 6): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 6, 6): {40: 100000, 0: 0}, ('FiveDistinctDice', 6, 6): {25: 100000, 0: 0}, ('FourAndFiveFullHouse', 6, 6): {50: 100000, 0: 0}, ('Distincts', 6, 7): {6: 100000}, ('TwoTimesOnes', 6, 7): {11.142857142857142: 100000}, ('HalfOfSixes', 6, 7): {17.142857142857142: 100000}, ('TwosAndThrees', 6, 7): {17.142857142857142: 100000}, ('SumOfOdds', 6, 7): {22.285714285714285: 100000}, ('SumOfEvens', 6, 7): {28.285714285714285: 100000}, ('DoubleThreesAndFours', 6, 7): {34.285714285714285: 100000}, ('QuadrupleOnesAndTwos', 6, 7): {34.285714285714285: 100000}, ('MicroStraight', 6, 7): {10: 100000, 0: 0}, ('ThreeOdds', 6, 7): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 6, 7): {30: 100000, 0: 0}, ('ThreeDistinctDice', 6, 7): {20: 100000, 0: 0}, ('TwoPair', 6, 7): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 6, 7): {40: 100000, 0: 0}, ('FiveDistinctDice', 6, 7): {25: 100000, 0: 0}, ('FourAndFiveFullHouse', 6, 7): {50: 100000, 0: 0}, ('Distincts', 6, 8): {6: 100000}, ('TwoTimesOnes', 6, 8): {11.25: 100000}, ('HalfOfSixes', 6, 8): {17.25: 100000}, ('TwosAndThrees', 6, 8): {17.25: 100000}, ('SumOfOdds', 6, 8): {22.5: 100000}, ('SumOfEvens', 6, 8): {28.5: 100000}, ('DoubleThreesAndFours', 6, 8): {34.5: 100000}, ('QuadrupleOnesAndTwos', 6, 8): {34.5: 100000}, ('MicroStraight', 6, 8): {10: 100000, 0: 0}, ('ThreeOdds', 6, 8): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 6, 8): {30: 100000, 0: 0}, ('ThreeDistinctDice', 6, 8): {20: 100000, 0: 0}, ('TwoPair', 6, 8): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 6, 8): {40: 100000, 0: 0}, ('FiveDistinctDice', 6, 8): {25: 100000, 0: 0}, ('FourAndFiveFullHouse', 6, 8): {50: 100000, 0: 0}, ('Distincts', 7, 1): {7: 100000}, ('TwoTimesOnes', 7, 1): {7.0: 100000}, ('HalfOfSixes', 7, 1): {14.0: 100000}, ('TwosAndThrees', 7, 1): {14.0: 100000}, ('SumOfOdds', 7, 1): {14.0: 100000}, ('SumOfEvens', 7, 1): {21.0: 100000}, ('DoubleThreesAndFours', 7, 1): {28.0: 100000}, ('QuadrupleOnesAndTwos', 7, 1): {28.0: 100000}, ('MicroStraight', 7, 1): {10: 100000, 0: 0}, ('ThreeOdds', 7, 1): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 7, 1): {30: 100000, 0: 0}, ('ThreeDistinctDice', 7, 1): {20: 100000, 0: 0}, ('TwoPair', 7, 1): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 7, 1): {40: 100000, 0: 0}, ('FiveDistinctDice', 7, 1): {25: 100000, 0: 0}, ('FourAndFiveFullHouse', 7, 1): {50: 100000, 0: 0}, ('Distincts', 7, 2): {7: 100000}, ('TwoTimesOnes', 7, 2): {10.5: 100000}, ('HalfOfSixes', 7, 2): {17.5: 100000}, ('TwosAndThrees', 7, 2): {17.5: 100000}, ('SumOfOdds', 7, 2): {21.0: 100000}, ('SumOfEvens', 7, 2): {28.0: 100000}, ('DoubleThreesAndFours', 7, 2): {35.0: 100000}, ('QuadrupleOnesAndTwos', 7, 2): {35.0: 100000}, ('MicroStraight', 7, 2): {10: 100000, 0: 0}, ('ThreeOdds', 7, 2): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 7, 2): {30: 100000, 0: 0}, ('ThreeDistinctDice', 7, 2): {20: 100000, 0: 0}, ('TwoPair', 7, 2): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 7, 2): {40: 100000, 0: 0}, ('FiveDistinctDice', 7, 2): {25: 100000, 0: 0}, ('FourAndFiveFullHouse', 7, 2): {50: 100000, 0: 0}, ('Distincts', 7, 3): {7: 100000}, ('TwoTimesOnes', 7, 3): {11.666666666666668: 100000}, ('HalfOfSixes', 7, 3): {18.666666666666664: 100000}, ('TwosAndThrees', 7, 3): {18.666666666666664: 100000}, ('SumOfOdds', 7, 3): {23.333333333333336: 100000}, ('SumOfEvens', 7, 3): {30.333333333333332: 100000}, ('DoubleThreesAndFours', 7, 3): {37.33333333333333: 100000}, ('QuadrupleOnesAndTwos', 7, 3): {37.33333333333333: 100000}, ('MicroStraight', 7, 3): {10: 100000, 0: 0}, ('ThreeOdds', 7, 3): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 7, 3): {30: 100000, 0: 0}, ('ThreeDistinctDice', 7, 3): {20: 100000, 0: 0}, ('TwoPair', 7, 3): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 7, 3): {40: 100000, 0: 0}, ('FiveDistinctDice', 7, 3): {25: 100000, 0: 0}, ('FourAndFiveFullHouse', 7, 3): {50: 100000, 0: 0}, ('Distincts', 7, 4): {7: 100000}, ('TwoTimesOnes', 7, 4): {12.25: 100000}, ('HalfOfSixes', 7, 4): {19.25: 100000}, ('TwosAndThrees', 7, 4): {19.25: 100000}, ('SumOfOdds', 7, 4): {24.5: 100000}, ('SumOfEvens', 7, 4): {31.5: 100000}, ('DoubleThreesAndFours', 7, 4): {38.5: 100000}, ('QuadrupleOnesAndTwos', 7, 4): {38.5: 100000}, ('MicroStraight', 7, 4): {10: 100000, 0: 0}, ('ThreeOdds', 7, 4): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 7, 4): {30: 100000, 0: 0}, ('ThreeDistinctDice', 7, 4): {20: 100000, 0: 0}, ('TwoPair', 7, 4): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 7, 4): {40: 100000, 0: 0}, ('FiveDistinctDice', 7, 4): {25: 100000, 0: 0}, ('FourAndFiveFullHouse', 7, 4): {50: 100000, 0: 0}, ('Distincts', 7, 5): {7: 100000}, ('TwoTimesOnes', 7, 5): {12.6: 100000}, ('HalfOfSixes', 7, 5): {19.599999999999998: 100000}, ('TwosAndThrees', 7, 5): {19.599999999999998: 100000}, ('SumOfOdds', 7, 5): {25.2: 100000}, ('SumOfEvens', 7, 5): {32.199999999999996: 100000}, ('DoubleThreesAndFours', 7, 5): {39.199999999999996: 100000}, ('QuadrupleOnesAndTwos', 7, 5): {39.199999999999996: 100000}, ('MicroStraight', 7, 5): {10: 100000, 0: 0}, ('ThreeOdds', 7, 5): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 7, 5): {30: 100000, 0: 0}, ('ThreeDistinctDice', 7, 5): {20: 100000, 0: 0}, ('TwoPair', 7, 5): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 7, 5): {40: 100000, 0: 0}, ('FiveDistinctDice', 7, 5): {25: 100000, 0: 0}, ('FourAndFiveFullHouse', 7, 5): {50: 100000, 0: 0}, ('Distincts', 7, 6): {7: 100000}, ('TwoTimesOnes', 7, 6): {12.833333333333332: 100000}, ('HalfOfSixes', 7, 6): {19.833333333333336: 100000}, ('TwosAndThrees', 7, 6): {19.833333333333336: 100000}, ('SumOfOdds', 7, 6): {25.666666666666664: 100000}, ('SumOfEvens', 7, 6): {32.66666666666667: 100000}, ('DoubleThreesAndFours', 7, 6): {39.66666666666667: 100000}, ('QuadrupleOnesAndTwos', 7, 6): {39.66666666666667: 100000}, ('MicroStraight', 7, 6): {10: 100000, 0: 0}, ('ThreeOdds', 7, 6): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 7, 6): {30: 100000, 0: 0}, ('ThreeDistinctDice', 7, 6): {20: 100000, 0: 0}, ('TwoPair', 7, 6): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 7, 6): {40: 100000, 0: 0}, ('FiveDistinctDice', 7, 6): {25: 100000, 0: 0}, ('FourAndFiveFullHouse', 7, 6): {50: 100000, 0: 0}, ('Distincts', 7, 7): {7: 100000}, ('TwoTimesOnes', 7, 7): {13.0: 100000}, ('HalfOfSixes', 7, 7): {20.0: 100000}, ('TwosAndThrees', 7, 7): {20.0: 100000}, ('SumOfOdds', 7, 7): {26.0: 100000}, ('SumOfEvens', 7, 7): {33.0: 100000}, ('DoubleThreesAndFours', 7, 7): {40.0: 100000}, ('QuadrupleOnesAndTwos', 7, 7): {40.0: 100000}, ('MicroStraight', 7, 7): {10: 100000, 0: 0}, ('ThreeOdds', 7, 7): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 7, 7): {30: 100000, 0: 0}, ('ThreeDistinctDice', 7, 7): {20: 100000, 0: 0}, ('TwoPair', 7, 7): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 7, 7): {40: 100000, 0: 0}, ('FiveDistinctDice', 7, 7): {25: 100000, 0: 0}, ('FourAndFiveFullHouse', 7, 7): {50: 100000, 0: 0}, ('Distincts', 7, 8): {7: 100000}, ('TwoTimesOnes', 7, 8): {13.125: 100000}, ('HalfOfSixes', 7, 8): {20.125: 100000}, ('TwosAndThrees', 7, 8): {20.125: 100000}, ('SumOfOdds', 7, 8): {26.25: 100000}, ('SumOfEvens', 7, 8): {33.25: 100000}, ('DoubleThreesAndFours', 7, 8): {40.25: 100000}, ('QuadrupleOnesAndTwos', 7, 8): {40.25: 100000}, ('MicroStraight', 7, 8): {10: 100000, 0: 0}, ('ThreeOdds', 7, 8): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 7, 8): {30: 100000, 0: 0}, ('ThreeDistinctDice', 7, 8): {20: 100000, 0: 0}, ('TwoPair', 7, 8): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 7, 8): {40: 100000, 0: 0}, ('FiveDistinctDice', 7, 8): {25: 100000, 0: 0}, ('FourAndFiveFullHouse', 7, 8): {50: 100000, 0: 0}, ('Distincts', 8, 1): {8: 100000}, ('TwoTimesOnes', 8, 1): {8.0: 100000}, ('HalfOfSixes', 8, 1): {16.0: 100000}, ('TwosAndThrees', 8, 1): {16.0: 100000}, ('SumOfOdds', 8, 1): {16.0: 100000}, ('SumOfEvens', 8, 1): {24.0: 100000}, ('DoubleThreesAndFours', 8, 1): {32.0: 100000}, ('QuadrupleOnesAndTwos', 8, 1): {32.0: 100000}, ('MicroStraight', 8, 1): {10: 100000, 0: 0}, ('ThreeOdds', 8, 1): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 8, 1): {30: 100000, 0: 0}, ('ThreeDistinctDice', 8, 1): {20: 100000, 0: 0}, ('TwoPair', 8, 1): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 8, 1): {40: 100000, 0: 0}, ('FiveDistinctDice', 8, 1): {25: 100000, 0: 0}, ('FourAndFiveFullHouse', 8, 1): {50: 100000, 0: 0}, ('Distincts', 8, 2): {8: 100000}, ('TwoTimesOnes', 8, 2): {12.0: 100000}, ('HalfOfSixes', 8, 2): {20.0: 100000}, ('TwosAndThrees', 8, 2): {20.0: 100000}, ('SumOfOdds', 8, 2): {24.0: 100000}, ('SumOfEvens', 8, 2): {32.0: 100000}, ('DoubleThreesAndFours', 8, 2): {40.0: 100000}, ('QuadrupleOnesAndTwos', 8, 2): {40.0: 100000}, ('MicroStraight', 8, 2): {10: 100000, 0: 0}, ('ThreeOdds', 8, 2): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 8, 2): {30: 100000, 0: 0}, ('ThreeDistinctDice', 8, 2): {20: 100000, 0: 0}, ('TwoPair', 8, 2): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 8, 2): {40: 100000, 0: 0}, ('FiveDistinctDice', 8, 2): {25: 100000, 0: 0}, ('FourAndFiveFullHouse', 8, 2): {50: 100000, 0: 0}, ('Distincts', 8, 3): {8: 100000}, ('TwoTimesOnes', 8, 3): {13.333333333333334: 100000}, ('HalfOfSixes', 8, 3): {21.333333333333332: 100000}, ('TwosAndThrees', 8, 3): {21.333333333333332: 100000}, ('SumOfOdds', 8, 3): {26.666666666666668: 100000}, ('SumOfEvens', 8, 3): {34.666666666666664: 100000}, ('DoubleThreesAndFours', 8, 3): {42.666666666666664: 100000}, ('QuadrupleOnesAndTwos', 8, 3): {42.666666666666664: 100000}, ('MicroStraight', 8, 3): {10: 100000, 0: 0}, ('ThreeOdds', 8, 3): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 8, 3): {30: 100000, 0: 0}, ('ThreeDistinctDice', 8, 3): {20: 100000, 0: 0}, ('TwoPair', 8, 3): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 8, 3): {40: 100000, 0: 0}, ('FiveDistinctDice', 8, 3): {25: 100000, 0: 0}, ('FourAndFiveFullHouse', 8, 3): {50: 100000, 0: 0}, ('Distincts', 8, 4): {8: 100000}, ('TwoTimesOnes', 8, 4): {14.0: 100000}, ('HalfOfSixes', 8, 4): {22.0: 100000}, ('TwosAndThrees', 8, 4): {22.0: 100000}, ('SumOfOdds', 8, 4): {28.0: 100000}, ('SumOfEvens', 8, 4): {36.0: 100000}, ('DoubleThreesAndFours', 8, 4): {44.0: 100000}, ('QuadrupleOnesAndTwos', 8, 4): {44.0: 100000}, ('MicroStraight', 8, 4): {10: 100000, 0: 0}, ('ThreeOdds', 8, 4): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 8, 4): {30: 100000, 0: 0}, ('ThreeDistinctDice', 8, 4): {20: 100000, 0: 0}, ('TwoPair', 8, 4): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 8, 4): {40: 100000, 0: 0}, ('FiveDistinctDice', 8, 4): {25: 100000, 0: 0}, ('FourAndFiveFullHouse', 8, 4): {50: 100000, 0: 0}, ('Distincts', 8, 5): {8: 100000}, ('TwoTimesOnes', 8, 5): {14.4: 100000}, ('HalfOfSixes', 8, 5): {22.4: 100000}, ('TwosAndThrees', 8, 5): {22.4: 100000}, ('SumOfOdds', 8, 5): {28.8: 100000}, ('SumOfEvens', 8, 5): {36.8: 100000}, ('DoubleThreesAndFours', 8, 5): {44.8: 100000}, ('QuadrupleOnesAndTwos', 8, 5): {44.8: 100000}, ('MicroStraight', 8, 5): {10: 100000, 0: 0}, ('ThreeOdds', 8, 5): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 8, 5): {30: 100000, 0: 0}, ('ThreeDistinctDice', 8, 5): {20: 100000, 0: 0}, ('TwoPair', 8, 5): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 8, 5): {40: 100000, 0: 0}, ('FiveDistinctDice', 8, 5): {25: 100000, 0: 0}, ('FourAndFiveFullHouse', 8, 5): {50: 100000, 0: 0}, ('Distincts', 8, 6): {8: 100000}, ('TwoTimesOnes', 8, 6): {14.666666666666666: 100000}, ('HalfOfSixes', 8, 6): {22.666666666666668: 100000}, ('TwosAndThrees', 8, 6): {22.666666666666668: 100000}, ('SumOfOdds', 8, 6): {29.333333333333332: 100000}, ('SumOfEvens', 8, 6): {37.333333333333336: 100000}, ('DoubleThreesAndFours', 8, 6): {45.333333333333336: 100000}, ('QuadrupleOnesAndTwos', 8, 6): {45.333333333333336: 100000}, ('MicroStraight', 8, 6): {10: 100000, 0: 0}, ('ThreeOdds', 8, 6): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 8, 6): {30: 100000, 0: 0}, ('ThreeDistinctDice', 8, 6): {20: 100000, 0: 0}, ('TwoPair', 8, 6): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 8, 6): {40: 100000, 0: 0}, ('FiveDistinctDice', 8, 6): {25: 100000, 0: 0}, ('FourAndFiveFullHouse', 8, 6): {50: 100000, 0: 0}, ('Distincts', 8, 7): {8: 100000}, ('TwoTimesOnes', 8, 7): {14.857142857142858: 100000}, ('HalfOfSixes', 8, 7): {22.857142857142858: 100000}, ('TwosAndThrees', 8, 7): {22.857142857142858: 100000}, ('SumOfOdds', 8, 7): {29.714285714285715: 100000}, ('SumOfEvens', 8, 7): {37.714285714285715: 100000}, ('DoubleThreesAndFours', 8, 7): {45.714285714285715: 100000}, ('QuadrupleOnesAndTwos', 8, 7): {45.714285714285715: 100000}, ('MicroStraight', 8, 7): {10: 100000, 0: 0}, ('ThreeOdds', 8, 7): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 8, 7): {30: 100000, 0: 0}, ('ThreeDistinctDice', 8, 7): {20: 100000, 0: 0}, ('TwoPair', 8, 7): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 8, 7): {40: 100000, 0: 0}, ('FiveDistinctDice', 8, 7): {25: 100000, 0: 0}, ('FourAndFiveFullHouse', 8, 7): {50: 100000, 0: 0}, ('Distincts', 8, 8): {8: 100000}, ('TwoTimesOnes', 8, 8): {15.0: 100000}, ('HalfOfSixes', 8, 8): {23.0: 100000}, ('TwosAndThrees', 8, 8): {23.0: 100000}, ('SumOfOdds', 8, 8): {30.0: 100000}, ('SumOfEvens', 8, 8): {38.0: 100000}, ('DoubleThreesAndFours', 8, 8): {46.0: 100000}, ('QuadrupleOnesAndTwos', 8, 8): {46.0: 100000}, ('MicroStraight', 8, 8): {10: 100000, 0: 0}, ('ThreeOdds', 8, 8): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 8, 8): {30: 100000, 0: 0}, ('ThreeDistinctDice', 8, 8): {20: 100000, 0: 0}, ('TwoPair', 8, 8): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 8, 8): {40: 100000, 0: 0}, ('FiveDistinctDice', 8, 8): {25: 100000, 0: 0}, ('FourAndFiveFullHouse', 8, 8): {50: 100000, 0: 0}}
\ No newline at end of file
+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: 14198, 4: 29216, 12: 1104, 6: 25677, 0: 5420, 2: 19164, 10: 5089, 14: 127, 16: 5}, ("Twos", 8, 3): {4: 18793, 12: 5201, 6: 27054, 10: 14462, 8: 24712, 2: 7289, 14: 1109, 0: 1271, 16: 109}, ("Twos", 8, 4): {8: 27389, 12: 12609, 10: 23232, 4: 9310, 6: 20242, 14: 3815, 16: 514, 2: 2604, 0: 285}, ("Twos", 8, 5): {10: 27882, 12: 20768, 16: 1604, 6: 12669, 8: 23322, 14: 8692, 4: 4184, 0: 58, 2: 821}, ("Twos", 8, 6): {8: 17148, 12: 27048, 10: 27398, 14: 15513, 6: 6992, 16: 3860, 2: 251, 4: 1774, 0: 16}, ("Twos", 8, 7): {8: 11479, 10: 23675, 6: 3547, 14: 22454, 12: 30829, 16: 7275, 4: 667, 2: 71, 0: 3}, ("Twos", 8, 8): {10: 18697, 14: 28983, 12: 31310, 16: 11977, 4: 286, 8: 6980, 6: 1746, 2: 21}, ("Threes", 0, 0): {0: 100000}, ("Threes", 0, 1): {0: 100000}, ("Threes", 0, 2): {0: 100000}, ("Threes", 0, 3): {0: 100000}, ("Threes", 0, 4): {0: 100000}, ("Threes", 0, 5): {0: 100000}, ("Threes", 0, 6): {0: 100000}, ("Threes", 0, 7): {0: 100000}, ("Threes", 0, 8): {0: 100000}, ("Threes", 1, 0): {0: 100000}, ("Threes", 1, 1): {0: 83343, 3: 16657}, ("Threes", 1, 2): {0: 69569, 3: 30431}, ("Threes", 1, 3): {0: 57872, 3: 42128}, ("Threes", 1, 4): {3: 51919, 0: 48081}, ("Threes", 1, 5): {0: 40271, 3: 59729}, ("Threes", 1, 6): {3: 66799, 0: 33201}, ("Threes", 1, 7): {3: 72097, 0: 27903}, ("Threes", 1, 8): {3: 76760, 0: 23240}, ("Threes", 2, 0): {0: 100000}, ("Threes", 2, 1): {0: 69419, 6: 2783, 3: 27798}, ("Threes", 2, 2): {0: 48202, 3: 42590, 6: 9208}, ("Threes", 2, 3): {6: 17775, 0: 33376, 3: 48849}, ("Threes", 2, 4): {3: 49810, 6: 26914, 0: 23276}, ("Threes", 2, 5): {6: 36190, 3: 47718, 0: 16092}, ("Threes", 2, 6): {6: 44253, 3: 44515, 0: 11232}, ("Threes", 2, 7): {6: 51952, 3: 40459, 0: 7589}, ("Threes", 2, 8): {3: 35804, 6: 58749, 0: 5447}, ("Threes", 3, 0): {0: 100000}, ("Threes", 3, 1): {0: 57964, 6: 6868, 3: 34701, 9: 467}, ("Threes", 3, 2): {3: 44263, 0: 33637, 6: 19213, 9: 2887}, ("Threes", 3, 3): {3: 42382, 6: 30676, 0: 19520, 9: 7422}, ("Threes", 3, 4): {3: 35772, 6: 39042, 0: 11265, 9: 13921}, ("Threes", 3, 5): {3: 28916, 9: 21404, 6: 43261, 0: 6419}, ("Threes", 3, 6): {3: 22496, 9: 29306, 6: 44388, 0: 3810}, ("Threes", 3, 7): {6: 43720, 9: 37231, 3: 16875, 0: 2174}, ("Threes", 3, 8): {9: 45070, 6: 41222, 3: 12471, 0: 1237}, ("Threes", 4, 0): {0: 100000}, ("Threes", 4, 1): {3: 38786, 0: 48121, 9: 1483, 6: 11540, 12: 70}, ("Threes", 4, 2): {3: 40989, 0: 23296, 6: 26998, 9: 7851, 12: 866}, ("Threes", 4, 3): {3: 32653, 12: 3183, 6: 35710, 9: 17221, 0: 11233}, ("Threes", 4, 4): {9: 26734, 6: 37468, 3: 23270, 12: 7065, 0: 5463}, ("Threes", 4, 5): {6: 34539, 9: 34635, 3: 15496, 12: 12639, 0: 2691}, ("Threes", 4, 6): {12: 19732, 9: 39190, 6: 29811, 3: 10046, 0: 1221}, ("Threes", 4, 7): {0: 599, 3: 6322, 6: 24420, 12: 27045, 9: 41614}, ("Threes", 4, 8): {12: 34736, 9: 42236, 6: 18843, 3: 3876, 0: 309}, ("Threes", 5, 0): {0: 100000}, ("Threes", 5, 1): {0: 40183, 3: 40377, 6: 16039, 9: 3046, 12: 336, 15: 19}, ("Threes", 5, 2): {3: 35494, 0: 16197, 6: 30937, 9: 13946, 12: 3139, 15: 287}, ("Threes", 5, 3): {3: 23394, 6: 34432, 9: 25239, 15: 1325, 12: 9027, 0: 6583}, ("Threes", 5, 4): {6: 30134, 9: 32371, 12: 17169, 0: 2636, 3: 14072, 15: 3618}, ("Threes", 5, 5): {6: 23010, 3: 7804, 9: 34811, 12: 25702, 15: 7598, 0: 1075}, ("Threes", 5, 6): {9: 32809, 12: 32892, 6: 16654, 3: 4234, 15: 12993, 0: 418}, ("Threes", 5, 7): {6: 11416, 12: 37604, 15: 19543, 9: 29072, 3: 2203, 0: 162}, ("Threes", 5, 8): {9: 24603, 15: 26464, 12: 40262, 6: 7425, 3: 1175, 0: 71}, ("Threes", 6, 0): {0: 100000}, ("Threes", 6, 1): {0: 33473, 6: 20151, 3: 40175, 9: 5369, 12: 775, 15: 55, 18: 2}, ("Threes", 6, 2): {3: 29592, 9: 19287, 0: 11147, 6: 32630, 12: 6160, 15: 1102, 18: 82}, ("Threes", 6, 3): {12: 15888, 9: 29006, 3: 16528, 0: 3628, 6: 29814, 15: 4565, 18: 571}, ("Threes", 6, 4): {9: 30953, 15: 10810, 18: 1919, 6: 21987, 12: 24833, 3: 8236, 0: 1262}, ("Threes", 6, 5): {6: 13949, 9: 27798, 15: 18256, 12: 31197, 3: 3820, 18: 4564, 0: 416}, ("Threes", 6, 6): {9: 22175, 12: 32897, 15: 26264, 18: 8496, 6: 8372, 3: 1642, 0: 154}, ("Threes", 6, 7): {12: 31385, 15: 32666, 18: 14084, 9: 16346, 6: 4728, 3: 740, 0: 51}, ("Threes", 6, 8): {12: 28320, 15: 36982, 3: 297, 9: 11202, 18: 20528, 6: 2651, 0: 20}, ("Threes", 7, 0): {0: 100000}, ("Threes", 7, 1): {9: 7886, 3: 39105, 0: 27933, 6: 23338, 12: 1559, 15: 170, 21: 2, 18: 7}, ("Threes", 7, 2): {9: 23110, 6: 31832, 3: 23896, 12: 10218, 0: 7794, 15: 2739, 18: 392, 21: 19}, ("Threes", 7, 3): {3: 11098, 9: 29316, 6: 24140, 0: 2138, 12: 21386, 15: 9413, 18: 2263, 21: 246}, ("Threes", 7, 4): {9: 26233, 12: 28244, 18: 6438, 15: 18118, 3: 4648, 6: 14737, 0: 590, 21: 992}, ("Threes", 7, 5): {15: 26078, 9: 19439, 12: 28977, 18: 12957, 6: 7953, 21: 2655, 3: 1777, 0: 164}, ("Threes", 7, 6): {15: 30535, 18: 20208, 12: 25793, 9: 13025, 6: 3938, 21: 5783, 3: 664, 0: 54}, ("Threes", 7, 7): {15: 31859, 21: 10191, 9: 7941, 12: 20571, 18: 27374, 6: 1790, 3: 267, 0: 7}, ("Threes", 7, 8): {15: 30313, 18: 33133, 21: 15727, 12: 15117, 9: 4747, 6: 854, 3: 104, 0: 5}, ("Threes", 8, 0): {0: 100000}, ("Threes", 8, 1): {3: 37232, 9: 10377, 0: 23337, 6: 25968, 12: 2630, 15: 423, 18: 31, 21: 2}, ("Threes", 8, 2): {6: 29232, 3: 18930, 9: 26016, 12: 14399, 15: 4847, 0: 5310, 18: 1124, 21: 138, 24: 4}, ("Threes", 8, 3): {12: 24703, 18: 5285, 9: 27141, 6: 18754, 15: 14251, 21: 1111, 0: 1328, 3: 7328, 24: 99}, ("Threes", 8, 4): {15: 23402, 9: 20607, 12: 26898, 18: 12452, 21: 3839, 6: 9554, 3: 2428, 0: 291, 24: 529}, ("Threes", 8, 5): {18: 20616, 15: 27931, 6: 4240, 21: 8743, 12: 23248, 3: 838, 9: 12608, 24: 1709, 0: 67}, ("Threes", 8, 6): {18: 27276, 9: 6890, 12: 17302, 21: 15571, 24: 3812, 6: 1657, 15: 27235, 3: 243, 0: 14}, ("Threes", 8, 7): {21: 22546, 15: 23682, 18: 30401, 12: 11580, 24: 7444, 9: 3547, 6: 718, 3: 76, 0: 6}, ("Threes", 8, 8): {18: 30657, 15: 18980, 12: 7211, 9: 1748, 24: 12037, 21: 29074, 6: 273, 3: 19, 0: 1}, ("Fours", 0, 0): {0: 100000}, ("Fours", 0, 1): {0: 100000}, ("Fours", 0, 2): {0: 100000}, ("Fours", 0, 3): {0: 100000}, ("Fours", 0, 4): {0: 100000}, ("Fours", 0, 5): {0: 100000}, ("Fours", 0, 6): {0: 100000}, ("Fours", 0, 7): {0: 100000}, ("Fours", 0, 8): {0: 100000}, ("Fours", 1, 0): {0: 100000}, ("Fours", 1, 1): {0: 83260, 4: 16740}, ("Fours", 1, 2): {0: 69514, 4: 30486}, ("Fours", 1, 3): {4: 41983, 0: 58017}, ("Fours", 1, 4): {4: 51611, 0: 48389}, ("Fours", 1, 5): {0: 40201, 4: 59799}, ("Fours", 1, 6): {4: 66504, 0: 33496}, ("Fours", 1, 7): {4: 71948, 0: 28052}, ("Fours", 1, 8): {4: 76569, 0: 23431}, ("Fours", 2, 0): {0: 100000}, ("Fours", 2, 1): {0: 69379, 4: 27817, 8: 2804}, ("Fours", 2, 2): {0: 48538, 4: 42240, 8: 9222}, ("Fours", 2, 3): {4: 48555, 8: 17689, 0: 33756}, ("Fours", 2, 4): {4: 49916, 8: 27014, 0: 23070}, ("Fours", 2, 5): {8: 35769, 4: 48009, 0: 16222}, ("Fours", 2, 6): {4: 44400, 8: 44475, 0: 11125}, ("Fours", 2, 7): {8: 51865, 4: 40216, 0: 7919}, ("Fours", 2, 8): {4: 35757, 8: 58895, 0: 5348}, ("Fours", 3, 0): {0: 100000}, ("Fours", 3, 1): {4: 34622, 0: 57914, 8: 7022, 12: 442}, ("Fours", 3, 2): {4: 44110, 0: 33621, 8: 19466, 12: 2803}, ("Fours", 3, 3): {8: 30898, 4: 42425, 0: 19153, 12: 7524}, ("Fours", 3, 4): {12: 13840, 8: 39024, 4: 36011, 0: 11125}, ("Fours", 3, 5): {12: 21325, 0: 6367, 8: 43192, 4: 29116}, ("Fours", 3, 6): {4: 22457, 12: 29423, 8: 44477, 0: 3643}, ("Fours", 3, 7): {8: 43275, 12: 37745, 4: 16802, 0: 2178}, ("Fours", 3, 8): {8: 41132, 12: 45312, 4: 12301, 0: 1255}, ("Fours", 4, 0): {0: 100000}, ("Fours", 4, 1): {0: 48465, 4: 38398, 12: 1570, 8: 11492, 16: 75}, ("Fours", 4, 2): {8: 27073, 4: 40911, 0: 23296, 12: 7871, 16: 849}, ("Fours", 4, 3): {12: 17222, 8: 35337, 0: 11200, 4: 33191, 16: 3050}, ("Fours", 4, 4): {8: 37441, 4: 23066, 12: 26861, 0: 5447, 16: 7185}, ("Fours", 4, 5): {0: 2533, 8: 34781, 12: 34222, 4: 15668, 16: 12796}, ("Fours", 4, 6): {0: 1314, 8: 29850, 12: 39425, 16: 19410, 4: 10001}, ("Fours", 4, 7): {12: 41917, 4: 6231, 0: 592, 8: 24250, 16: 27010}, ("Fours", 4, 8): {16: 34777, 8: 19168, 12: 41866, 4: 3887, 0: 302}, ("Fours", 5, 0): {0: 100000}, ("Fours", 5, 1): {4: 40127, 0: 40215, 8: 16028, 12: 3303, 16: 319, 20: 8}, ("Fours", 5, 2): {8: 31158, 0: 15946, 12: 13998, 4: 35579, 16: 3049, 20: 270}, ("Fours", 5, 3): {8: 34575, 20: 1347, 12: 24783, 4: 23705, 0: 6479, 16: 9111}, ("Fours", 5, 4): {8: 30079, 12: 32428, 4: 13889, 20: 3706, 16: 17263, 0: 2635}, ("Fours", 5, 5): {16: 25803, 8: 23332, 12: 34254, 4: 7756, 20: 7695, 0: 1160}, ("Fours", 5, 6): {20: 13131, 12: 32910, 16: 32752, 8: 16525, 4: 4248, 0: 434}, ("Fours", 5, 7): {12: 29123, 20: 19471, 16: 37701, 8: 11414, 4: 2122, 0: 169}, ("Fours", 5, 8): {16: 40144, 8: 7340, 20: 26442, 12: 24807, 4: 1192, 0: 75}, ("Fours", 6, 0): {0: 100000}, ("Fours", 6, 1): {4: 39856, 8: 20225, 0: 33632, 12: 5348, 16: 865, 20: 72, 24: 2}, ("Fours", 6, 2): {4: 29824, 16: 6225, 8: 32381, 0: 11175, 12: 19179, 24: 100, 20: 1116}, ("Fours", 6, 3): {12: 29071, 4: 16329, 8: 29939, 16: 15808, 0: 3698, 20: 4594, 24: 561}, ("Fours", 6, 4): {24: 1875, 12: 31107, 16: 25281, 8: 21748, 20: 10816, 4: 7889, 0: 1284}, ("Fours", 6, 5): {12: 27817, 24: 4501, 16: 31233, 20: 18386, 4: 3792, 8: 13809, 0: 462}, ("Fours", 6, 6): {24: 8835, 20: 26192, 16: 32690, 12: 22156, 8: 8344, 4: 1636, 0: 147}, ("Fours", 6, 7): {24: 14130, 12: 16285, 20: 32639, 16: 31490, 8: 4689, 4: 733, 0: 34}, ("Fours", 6, 8): {24: 20510, 12: 11388, 16: 27841, 20: 37380, 8: 2524, 4: 349, 0: 8}, ("Fours", 7, 0): {0: 100000}, ("Fours", 7, 1): {4: 39289, 0: 27821, 12: 7807, 8: 23327, 16: 1564, 20: 181, 24: 11}, ("Fours", 7, 2): {16: 10162, 12: 23169, 4: 24026, 8: 31633, 0: 7950, 20: 2637, 24: 403, 28: 20}, ("Fours", 7, 3): {8: 24107, 12: 29411, 20: 9251, 0: 2194, 16: 21390, 4: 11153, 24: 2231, 28: 263}, ("Fours", 7, 4): {8: 14788, 16: 28118, 20: 18174, 12: 26330, 24: 6535, 4: 4503, 28: 992, 0: 560}, ("Fours", 7, 5): {16: 29003, 20: 26113, 12: 19425, 24: 12972, 8: 7862, 28: 2767, 4: 1687, 0: 171}, ("Fours", 7, 6): {12: 12863, 24: 20147, 20: 30724, 16: 25831, 28: 5860, 8: 3896, 4: 630, 0: 49}, ("Fours", 7, 7): {28: 10189, 16: 20524, 12: 7978, 20: 31843, 24: 27368, 8: 1846, 4: 239, 0: 13}, ("Fours", 7, 8): {28: 15645, 24: 33428, 16: 15198, 20: 30153, 12: 4712, 8: 776, 4: 88}, ("Fours", 8, 0): {0: 100000}, ("Fours", 8, 1): {0: 23275, 12: 10570, 4: 37161, 8: 25964, 20: 402, 16: 2594, 24: 33, 28: 1}, ("Fours", 8, 2): {8: 29259, 0: 5421, 20: 4887, 12: 25812, 4: 19014, 16: 14387, 24: 1084, 28: 131, 32: 5}, ("Fours", 8, 3): {24: 5162, 16: 25138, 8: 18330, 12: 27186, 4: 7349, 20: 14371, 0: 1277, 28: 1090, 32: 97}, ("Fours", 8, 4): {16: 26960, 28: 3827, 12: 20282, 24: 12927, 20: 23292, 8: 9366, 4: 2563, 0: 289, 32: 494}, ("Fours", 8, 5): {24: 20767, 20: 27754, 16: 23588, 12: 12492, 8: 4214, 28: 8693, 4: 776, 0: 59, 32: 1657}, ("Fours", 8, 6): {28: 15457, 20: 27398, 24: 27074, 12: 6892, 16: 17296, 8: 1771, 32: 3843, 4: 248, 0: 21}, ("Fours", 8, 7): {24: 30628, 28: 22590, 12: 3649, 20: 23737, 16: 11420, 32: 7231, 8: 648, 4: 95, 0: 2}, ("Fours", 8, 8): {20: 18630, 24: 31109, 12: 1683, 28: 29548, 32: 11743, 16: 7021, 8: 249, 4: 16, 0: 1}, ("Fives", 0, 0): {0: 100000}, ("Fives", 0, 1): {0: 100000}, ("Fives", 0, 2): {0: 100000}, ("Fives", 0, 3): {0: 100000}, ("Fives", 0, 4): {0: 100000}, ("Fives", 0, 5): {0: 100000}, ("Fives", 0, 6): {0: 100000}, ("Fives", 0, 7): {0: 100000}, ("Fives", 0, 8): {0: 100000}, ("Fives", 1, 0): {0: 100000}, ("Fives", 1, 1): {5: 16662, 0: 83338}, ("Fives", 1, 2): {0: 69499, 5: 30501}, ("Fives", 1, 3): {5: 42201, 0: 57799}, ("Fives", 1, 4): {5: 51689, 0: 48311}, ("Fives", 1, 5): {5: 59916, 0: 40084}, ("Fives", 1, 6): {0: 33440, 5: 66560}, ("Fives", 1, 7): {0: 27730, 5: 72270}, ("Fives", 1, 8): {5: 76790, 0: 23210}, ("Fives", 2, 0): {0: 100000}, ("Fives", 2, 1): {5: 27864, 0: 69299, 10: 2837}, ("Fives", 2, 2): {0: 48156, 5: 42526, 10: 9318}, ("Fives", 2, 3): {0: 33225, 5: 49153, 10: 17622}, ("Fives", 2, 4): {0: 23218, 5: 50075, 10: 26707}, ("Fives", 2, 5): {5: 48313, 0: 15939, 10: 35748}, ("Fives", 2, 6): {5: 44324, 10: 44336, 0: 11340}, ("Fives", 2, 7): {10: 51790, 5: 40388, 0: 7822}, ("Fives", 2, 8): {10: 58978, 5: 35636, 0: 5386}, ("Fives", 3, 0): {0: 100000}, ("Fives", 3, 1): {5: 34541, 0: 58034, 10: 6946, 15: 479}, ("Fives", 3, 2): {10: 19403, 15: 2904, 0: 33466, 5: 44227}, ("Fives", 3, 3): {0: 19231, 10: 30794, 5: 42483, 15: 7492}, ("Fives", 3, 4): {5: 36192, 10: 38673, 15: 13939, 0: 11196}, ("Fives", 3, 5): {5: 29163, 10: 43014, 15: 21262, 0: 6561}, ("Fives", 3, 6): {15: 29489, 10: 44611, 5: 22181, 0: 3719}, ("Fives", 3, 7): {15: 37618, 5: 16817, 10: 43466, 0: 2099}, ("Fives", 3, 8): {15: 45310, 10: 40936, 5: 12473, 0: 1281}, ("Fives", 4, 0): {0: 100000}, ("Fives", 4, 1): {5: 38345, 0: 48377, 10: 11611, 15: 1587, 20: 80}, ("Fives", 4, 2): {10: 27041, 5: 40940, 0: 23126, 15: 8003, 20: 890}, ("Fives", 4, 3): {20: 3208, 5: 32597, 15: 17250, 10: 35753, 0: 11192}, ("Fives", 4, 4): {10: 37379, 5: 23073, 15: 26968, 0: 5362, 20: 7218}, ("Fives", 4, 5): {15: 34186, 10: 34602, 5: 15662, 20: 12895, 0: 2655}, ("Fives", 4, 6): {15: 39417, 20: 19500, 5: 9959, 10: 29833, 0: 1291}, ("Fives", 4, 7): {15: 41779, 20: 27007, 10: 24360, 5: 6231, 0: 623}, ("Fives", 4, 8): {20: 34729, 15: 41957, 10: 19164, 5: 3837, 0: 313}, ("Fives", 5, 0): {0: 100000}, ("Fives", 5, 1): {5: 40561, 10: 16029, 0: 39911, 15: 3164, 20: 322, 25: 13}, ("Fives", 5, 2): {10: 31246, 0: 16178, 5: 35517, 15: 13793, 20: 3019, 25: 247}, ("Fives", 5, 3): {20: 8948, 5: 23716, 0: 6526, 10: 34430, 15: 25017, 25: 1363}, ("Fives", 5, 4): {15: 32247, 10: 30133, 20: 17219, 5: 13975, 25: 3811, 0: 2615}, ("Fives", 5, 5): {10: 23203, 15: 34489, 20: 25757, 5: 7876, 25: 7612, 0: 1063}, ("Fives", 5, 6): {15: 32855, 20: 32891, 10: 16696, 25: 13038, 5: 4091, 0: 429}, ("Fives", 5, 7): {15: 29416, 20: 37778, 10: 11298, 25: 19138, 5: 2211, 0: 159}, ("Fives", 5, 8): {15: 24456, 10: 7453, 25: 26297, 20: 40615, 5: 1127, 0: 52}, ("Fives", 6, 0): {0: 100000}, ("Fives", 6, 1): {10: 20181, 0: 33476, 5: 40167, 15: 5317, 20: 780, 25: 76, 30: 3}, ("Fives", 6, 2): {10: 32664, 20: 6194, 5: 29613, 25: 1125, 15: 19004, 0: 11322, 30: 78}, ("Fives", 6, 3): {5: 16288, 10: 29770, 20: 15759, 0: 3765, 15: 29233, 25: 4563, 30: 622}, ("Fives", 6, 4): {10: 21518, 5: 8226, 20: 25160, 15: 31229, 25: 10712, 0: 1201, 30: 1954}, ("Fives", 6, 5): {20: 30800, 15: 27961, 10: 14005, 25: 18442, 5: 3874, 30: 4485, 0: 433}, ("Fives", 6, 6): {10: 8354, 20: 32744, 15: 22226, 25: 26341, 5: 1686, 30: 8508, 0: 141}, ("Fives", 6, 7): {20: 31363, 30: 14151, 25: 32784, 15: 16206, 10: 4724, 5: 730, 0: 42}, ("Fives", 6, 8): {15: 11279, 20: 28004, 30: 20619, 25: 37178, 10: 2623, 5: 278, 0: 19}, ("Fives", 7, 0): {0: 100000}, ("Fives", 7, 1): {10: 23567, 0: 27826, 5: 39154, 20: 1543, 15: 7734, 25: 159, 30: 17}, ("Fives", 7, 2): {0: 7609, 15: 23214, 5: 24193, 10: 31722, 20: 10140, 25: 2694, 30: 406, 35: 22}, ("Fives", 7, 3): {15: 29307, 25: 9164, 10: 24443, 5: 11013, 20: 21387, 35: 218, 30: 2206, 0: 2262}, ("Fives", 7, 4): {30: 6453, 25: 18050, 10: 14761, 20: 28335, 15: 26159, 5: 4583, 0: 618, 35: 1041}, ("Fives", 7, 5): {30: 12883, 20: 28915, 25: 26000, 15: 19685, 10: 7909, 35: 2718, 5: 1707, 0: 183}, ("Fives", 7, 6): {25: 30456, 20: 25572, 30: 20695, 15: 13042, 35: 5729, 10: 3836, 5: 618, 0: 52}, ("Fives", 7, 7): {35: 10115, 30: 27333, 25: 31883, 10: 1852, 20: 20696, 15: 7866, 5: 246, 0: 9}, ("Fives", 7, 8): {30: 33015, 25: 30298, 20: 15292, 35: 15768, 15: 4700, 5: 92, 10: 829, 0: 6}, ("Fives", 8, 0): {0: 100000}, ("Fives", 8, 1): {5: 37259, 0: 23333, 10: 25947, 20: 2598, 15: 10392, 25: 433, 30: 36, 35: 2}, ("Fives", 8, 2): {10: 29380, 5: 18915, 15: 25994, 20: 14056, 25: 4971, 0: 5425, 30: 1131, 35: 122, 40: 6}, ("Fives", 8, 3): {20: 24542, 10: 18783, 25: 14322, 15: 27375, 35: 1058, 30: 5252, 5: 7317, 0: 1258, 40: 93}, ("Fives", 8, 4): {15: 20267, 20: 27158, 25: 23589, 30: 12529, 10: 9383, 5: 2481, 35: 3817, 40: 505, 0: 271}, ("Fives", 8, 5): {20: 23115, 35: 8917, 25: 27968, 15: 12456, 30: 20704, 10: 4260, 5: 879, 40: 1637, 0: 64}, ("Fives", 8, 6): {35: 15414, 20: 17201, 15: 6936, 30: 27178, 25: 27484, 40: 3817, 10: 1689, 0: 15, 5: 266}, ("Fives", 8, 7): {30: 30426, 40: 7470, 35: 22677, 15: 3535, 20: 11429, 25: 23717, 10: 661, 5: 81, 0: 4}, ("Fives", 8, 8): {35: 29126, 25: 18714, 30: 31084, 20: 7148, 40: 11888, 15: 1779, 5: 21, 10: 239, 0: 1}, ("Sixes", 0, 0): {0: 100000}, ("Sixes", 0, 1): {0: 100000}, ("Sixes", 0, 2): {0: 100000}, ("Sixes", 0, 3): {0: 100000}, ("Sixes", 0, 4): {0: 100000}, ("Sixes", 0, 5): {0: 100000}, ("Sixes", 0, 6): {0: 100000}, ("Sixes", 0, 7): {0: 100000}, ("Sixes", 0, 8): {0: 100000}, ("Sixes", 1, 0): {0: 100000}, ("Sixes", 1, 1): {0: 83168, 6: 16832}, ("Sixes", 1, 2): {0: 69548, 6: 30452}, ("Sixes", 1, 3): {0: 57697, 6: 42303}, ("Sixes", 1, 4): {6: 51957, 0: 48043}, ("Sixes", 1, 5): {0: 39912, 6: 60088}, ("Sixes", 1, 6): {6: 66501, 0: 33499}, ("Sixes", 1, 7): {0: 28251, 6: 71749}, ("Sixes", 1, 8): {6: 76794, 0: 23206}, ("Sixes", 2, 0): {0: 100000}, ("Sixes", 2, 1): {0: 69463, 6: 27651, 12: 2886}, ("Sixes", 2, 2): {6: 42794, 12: 9310, 0: 47896}, ("Sixes", 2, 3): {6: 48757, 0: 33394, 12: 17849}, ("Sixes", 2, 4): {6: 49554, 12: 26894, 0: 23552}, ("Sixes", 2, 5): {6: 48098, 12: 35812, 0: 16090}, ("Sixes", 2, 6): {12: 44094, 6: 44833, 0: 11073}, ("Sixes", 2, 7): {0: 7737, 6: 40480, 12: 51783}, ("Sixes", 2, 8): {6: 35672, 12: 58949, 0: 5379}, ("Sixes", 3, 0): {0: 100000}, ("Sixes", 3, 1): {6: 34818, 12: 6994, 0: 57718, 18: 470}, ("Sixes", 3, 2): {6: 44328, 12: 19159, 0: 33610, 18: 2903}, ("Sixes", 3, 3): {6: 42246, 18: 7436, 0: 19366, 12: 30952}, ("Sixes", 3, 4): {6: 36281, 0: 11144, 12: 38817, 18: 13758}, ("Sixes", 3, 5): {12: 43114, 18: 21581, 0: 6414, 6: 28891}, ("Sixes", 3, 6): {12: 44318, 6: 22394, 18: 29418, 0: 3870}, ("Sixes", 3, 7): {18: 37522, 12: 43487, 6: 16803, 0: 2188}, ("Sixes", 3, 8): {18: 45208, 6: 12421, 12: 41082, 0: 1289}, ("Sixes", 4, 0): {0: 100000}, ("Sixes", 4, 1): {0: 48197, 6: 38521, 12: 11677, 18: 1516, 24: 89}, ("Sixes", 4, 2): {6: 41179, 0: 23155, 12: 26935, 18: 7839, 24: 892}, ("Sixes", 4, 3): {6: 32609, 18: 17390, 0: 11256, 12: 35588, 24: 3157}, ("Sixes", 4, 4): {12: 37209, 0: 5324, 6: 23265, 18: 26929, 24: 7273}, ("Sixes", 4, 5): {18: 34476, 6: 15488, 12: 34685, 24: 12693, 0: 2658}, ("Sixes", 4, 6): {18: 39379, 6: 9997, 12: 29855, 24: 19487, 0: 1282}, ("Sixes", 4, 7): {18: 41935, 24: 26879, 12: 24396, 6: 6202, 0: 588}, ("Sixes", 4, 8): {6: 3863, 18: 42180, 12: 19042, 24: 34598, 0: 317}, ("Sixes", 5, 0): {0: 100000}, ("Sixes", 5, 1): {0: 40393, 6: 39904, 12: 16206, 18: 3173, 24: 311, 30: 13}, ("Sixes", 5, 2): {0: 16202, 12: 31241, 6: 35664, 18: 13612, 24: 3017, 30: 264}, ("Sixes", 5, 3): {18: 25020, 12: 34585, 6: 23539, 0: 6456, 30: 1318, 24: 9082}, ("Sixes", 5, 4): {12: 30355, 24: 17115, 6: 13980, 18: 32198, 30: 3771, 0: 2581}, ("Sixes", 5, 5): {18: 34716, 30: 7759, 24: 25568, 6: 7775, 12: 23063, 0: 1119}, ("Sixes", 5, 6): {24: 32829, 12: 16724, 30: 13092, 18: 32792, 6: 4171, 0: 392}, ("Sixes", 5, 7): {24: 37560, 18: 29190, 30: 19426, 12: 11509, 6: 2118, 0: 197}, ("Sixes", 5, 8): {30: 26656, 24: 40134, 12: 7404, 18: 24560, 6: 1176, 0: 70}, ("Sixes", 6, 0): {0: 100000}, ("Sixes", 6, 1): {12: 20198, 0: 33316, 6: 40218, 18: 5373, 24: 839, 30: 54, 36: 2}, ("Sixes", 6, 2): {18: 19196, 6: 29444, 12: 32590, 0: 11256, 24: 6278, 36: 84, 30: 1152}, ("Sixes", 6, 3): {18: 29107, 12: 29873, 36: 579, 24: 15863, 6: 16266, 0: 3787, 30: 4525}, ("Sixes", 6, 4): {0: 1286, 12: 21653, 18: 31264, 6: 8066, 24: 25039, 36: 1913, 30: 10779}, ("Sixes", 6, 5): {24: 30919, 18: 27705, 12: 13962, 30: 18670, 36: 4554, 6: 3777, 0: 413}, ("Sixes", 6, 6): {24: 32923, 30: 26086, 6: 1658, 18: 22320, 36: 8485, 12: 8382, 0: 146}, ("Sixes", 6, 7): {18: 16286, 30: 32487, 36: 14138, 24: 31577, 12: 4698, 6: 763, 0: 51}, ("Sixes", 6, 8): {36: 20392, 24: 28064, 30: 37212, 18: 11446, 12: 2558, 6: 306, 0: 22}, ("Sixes", 7, 0): {0: 100000}, ("Sixes", 7, 1): {24: 1548, 12: 23499, 6: 38984, 0: 27852, 18: 7935, 30: 171, 36: 11}, ("Sixes", 7, 2): {12: 31558, 6: 23846, 0: 7883, 18: 23295, 24: 10316, 30: 2667, 36: 405, 42: 30}, ("Sixes", 7, 3): {6: 10928, 12: 24321, 30: 9209, 36: 2296, 18: 29650, 24: 21177, 0: 2186, 42: 233}, ("Sixes", 7, 4): {18: 26303, 24: 28335, 30: 18228, 12: 14673, 42: 933, 6: 4459, 36: 6466, 0: 603}, ("Sixes", 7, 5): {24: 29254, 18: 19381, 36: 12992, 30: 25790, 12: 7879, 6: 1775, 42: 2757, 0: 172}, ("Sixes", 7, 6): {30: 30698, 18: 13039, 36: 20143, 12: 3864, 24: 25760, 42: 5792, 6: 652, 0: 52}, ("Sixes", 7, 7): {36: 27546, 24: 20557, 30: 31709, 42: 10074, 18: 8033, 12: 1824, 6: 246, 0: 11}, ("Sixes", 7, 8): {30: 30259, 36: 33183, 42: 15609, 12: 799, 24: 15419, 18: 4658, 6: 72, 0: 1}, ("Sixes", 8, 0): {0: 100000}, ("Sixes", 8, 1): {0: 23220, 12: 25961, 6: 37213, 18: 10483, 24: 2622, 30: 441, 36: 56, 42: 4}, ("Sixes", 8, 2): {24: 14170, 18: 25777, 12: 29664, 6: 18943, 30: 4965, 0: 5280, 36: 1059, 42: 134, 48: 8}, ("Sixes", 8, 3): {18: 27277, 30: 14351, 24: 24802, 12: 18757, 6: 7112, 36: 5260, 42: 1085, 0: 1246, 48: 110}, ("Sixes", 8, 4): {30: 23403, 24: 27146, 36: 12524, 6: 2460, 18: 20247, 12: 9584, 42: 3889, 0: 301, 48: 446}, ("Sixes", 8, 5): {24: 23471, 30: 27655, 36: 20803, 42: 8841, 18: 12477, 12: 4241, 6: 774, 48: 1653, 0: 85}, ("Sixes", 8, 6): {24: 17373, 36: 27024, 30: 27347, 12: 1790, 18: 6866, 42: 15394, 48: 3929, 6: 255, 0: 22}, ("Sixes", 8, 7): {42: 22654, 48: 7273, 30: 23581, 24: 11451, 36: 30772, 18: 3503, 12: 689, 6: 75, 0: 2}, ("Sixes", 8, 8): {30: 18755, 24: 7116, 36: 31116, 42: 28870, 48: 12131, 18: 1750, 12: 241, 6: 21}, ("Choice", 0, 0): {0: 100000}, ("Choice", 0, 1): {0: 100000}, ("Choice", 0, 2): {0: 100000}, ("Choice", 0, 3): {0: 100000}, ("Choice", 0, 4): {0: 100000}, ("Choice", 0, 5): {0: 100000}, ("Choice", 0, 6): {0: 100000}, ("Choice", 0, 7): {0: 100000}, ("Choice", 0, 8): {0: 100000}, ("Choice", 1, 0): {0: 100000}, ("Choice", 1, 1): {1: 16642, 5: 16618, 2: 16673, 6: 16639, 3: 16828, 4: 16600}, ("Choice", 1, 2): {5: 27898, 4: 11333, 6: 27788, 1: 10921, 2: 11161, 3: 10899}, ("Choice", 1, 3): {6: 39927, 5: 22740, 3: 9263, 1: 9416, 4: 9338, 2: 9316}, ("Choice", 1, 4): {6: 49709, 5: 19312, 2: 7715, 1: 7775, 4: 7791, 3: 7698}, ("Choice", 1, 5): {6: 58421, 2: 6427, 5: 16005, 1: 6390, 3: 6241, 4: 6516}, ("Choice", 1, 6): {6: 65344, 1: 5313, 3: 5363, 5: 13424, 2: 5200, 4: 5356}, ("Choice", 1, 7): {6: 71171, 5: 11028, 3: 4321, 4: 4587, 1: 4428, 2: 4465}, ("Choice", 1, 8): {6: 76004, 1: 3644, 5: 9298, 2: 3648, 4: 3633, 3: 3773}, ("Choice", 2, 0): {0: 100000}, ("Choice", 2, 1): {7: 16670, 8: 13823, 6: 13681, 9: 11170, 10: 8384, 5: 11014, 4: 8292, 3: 5647, 11: 5596, 12: 2866, 2: 2857}, ("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}, ("Choice", 2, 3): {12: 16019, 11: 18510, 7: 13487, 10: 12684, 2: 840, 8: 12296, 9: 11489, 4: 2567, 3: 1706, 5: 3532, 6: 6870}, ("Choice", 2, 4): {9: 10694, 8: 11395, 11: 19145, 7: 11794, 12: 24860, 10: 11421, 5: 2349, 6: 4766, 3: 1203, 2: 580, 4: 1793}, ("Choice", 2, 5): {11: 18504, 9: 9457, 12: 33919, 10: 10101, 7: 10459, 5: 1683, 6: 3327, 8: 9985, 4: 1282, 3: 820, 2: 463}, ("Choice", 2, 6): {10: 8640, 6: 2289, 8: 8711, 11: 17310, 12: 42514, 7: 9329, 9: 8343, 5: 1127, 4: 897, 2: 278, 3: 562}, ("Choice", 2, 7): {9: 7474, 12: 50376, 8: 7580, 11: 15801, 6: 1586, 7: 7617, 5: 804, 10: 7514, 3: 412, 4: 631, 2: 205}, ("Choice", 2, 8): {12: 57425, 7: 6849, 8: 6457, 10: 6546, 5: 551, 11: 14067, 6: 1114, 9: 6208, 4: 385, 2: 136, 3: 262}, ("Choice", 3, 0): {0: 100000}, ("Choice", 3, 1): {14: 6922, 12: 11648, 18: 460, 10: 12552, 6: 4574, 15: 4476, 7: 6986, 9: 11635, 13: 9762, 5: 2727, 8: 9834, 11: 12455, 16: 2778, 4: 1375, 17: 1329, 3: 487}, ("Choice", 3, 2): {13: 13398, 15: 9806, 17: 6384, 14: 11409, 8: 4722, 12: 13008, 9: 6436, 5: 883, 7: 2555, 11: 10449, 16: 8963, 10: 7981, 6: 1345, 3: 113, 18: 2164, 4: 384}, ("Choice", 3, 3): {8: 3168, 7: 1551, 16: 10859, 12: 10775, 9: 4651, 18: 6287, 15: 10908, 13: 13633, 14: 12157, 6: 816, 17: 10915, 11: 7570, 10: 5921, 3: 85, 4: 226, 5: 478}, ("Choice", 3, 4): {9: 3219, 17: 14452, 14: 11945, 11: 5627, 18: 12299, 6: 466, 5: 288, 13: 13346, 16: 11330, 15: 10762, 12: 8677, 7: 929, 10: 4350, 4: 138, 8: 2116, 3: 56}, ("Choice", 3, 5): {13: 12249, 17: 16329, 16: 11082, 15: 10586, 12: 6699, 10: 3230, 18: 19447, 14: 11562, 9: 2335, 5: 158, 8: 1365, 11: 4057, 7: 533, 6: 259, 4: 90, 3: 19}, ("Choice", 3, 6): {17: 17096, 14: 10603, 15: 9701, 18: 27775, 13: 11050, 8: 1005, 16: 10252, 11: 2960, 9: 1634, 12: 5006, 7: 306, 10: 2306, 6: 147, 5: 100, 4: 45, 3: 14}, ("Choice", 3, 7): {13: 9808, 15: 9022, 18: 35842, 14: 9250, 17: 17010, 16: 9459, 9: 1136, 12: 3692, 10: 1679, 11: 2084, 8: 675, 6: 82, 7: 176, 5: 45, 4: 30, 3: 10}, ("Choice", 3, 8): {13: 8621, 18: 43506, 15: 8108, 17: 16142, 11: 1492, 16: 8392, 9: 824, 14: 8389, 8: 454, 12: 2698, 10: 1179, 5: 32, 7: 98, 6: 41, 3: 5, 4: 19}, ("Choice", 4, 0): {0: 100000}, ("Choice", 4, 1): {19: 4323, 14: 11229, 15: 10673, 11: 8105, 10: 6187, 22: 736, 9: 4374, 7: 1574, 8: 2687, 20: 2726, 16: 9725, 13: 10880, 12: 9516, 17: 8088, 18: 6186, 24: 68, 21: 1512, 6: 723, 23: 286, 5: 318, 4: 84}, ("Choice", 4, 2): {21: 6005, 15: 9539, 22: 4467, 18: 11247, 10: 2080, 16: 10496, 11: 3014, 12: 4393, 19: 9825, 20: 7880, 17: 11349, 14: 8110, 9: 1277, 13: 6253, 7: 285, 24: 600, 23: 2326, 8: 609, 5: 56, 6: 172, 4: 17}, ("Choice", 4, 3): {21: 8490, 20: 9895, 23: 5811, 18: 11621, 15: 7482, 22: 7386, 14: 5818, 12: 2634, 19: 11785, 16: 8383, 17: 9883, 13: 4063, 9: 675, 10: 1179, 24: 2507, 11: 1850, 8: 309, 7: 128, 6: 65, 5: 28, 4: 8}, ("Choice", 4, 4): {21: 9541, 16: 6768, 17: 8169, 20: 11157, 18: 10557, 13: 2517, 23: 9579, 19: 12760, 22: 9333, 7: 71, 14: 4089, 15: 5448, 24: 6200, 12: 1624, 10: 658, 9: 312, 11: 1021, 8: 132, 5: 19, 6: 41, 4: 4}, ("Choice", 4, 5): {17: 6331, 18: 9020, 20: 11414, 22: 10446, 23: 12551, 9: 180, 16: 5012, 21: 10261, 24: 11379, 15: 3993, 12: 924, 19: 12893, 14: 2916, 13: 1575, 8: 60, 10: 389, 11: 599, 7: 32, 6: 14, 5: 10, 4: 1}, ("Choice", 4, 6): {20: 11246, 21: 10350, 24: 18222, 19: 12054, 23: 14883, 11: 348, 17: 4745, 12: 512, 18: 7311, 15: 2911, 14: 1923, 16: 3870, 22: 10306, 10: 189, 13: 962, 9: 104, 8: 34, 7: 23, 4: 1, 5: 5, 6: 1}, ("Choice", 4, 7): {18: 5654, 22: 10265, 23: 15911, 20: 10646, 17: 3629, 15: 2120, 24: 25318, 21: 9719, 16: 2832, 19: 11206, 9: 50, 11: 230, 12: 333, 14: 1379, 8: 18, 13: 540, 10: 136, 7: 10, 5: 2, 6: 2}, ("Choice", 4, 8): {24: 33185, 23: 16241, 20: 9548, 19: 10211, 22: 9596, 21: 9030, 12: 172, 18: 4294, 16: 1967, 17: 2697, 15: 1524, 13: 359, 10: 73, 14: 948, 11: 111, 9: 32, 8: 7, 7: 2, 5: 2, 6: 1}, ("Choice", 5, 0): {0: 100000}, ("Choice", 5, 1): {21: 7039, 16: 9529, 18: 9956, 14: 6758, 13: 5372, 17: 10211, 15: 8305, 12: 3976, 24: 2664, 20: 8205, 23: 3986, 19: 9571, 25: 1646, 22: 5328, 11: 2671, 27: 430, 10: 1646, 9: 866, 26: 872, 6: 74, 28: 189, 7: 195, 8: 435, 29: 57, 30: 14, 5: 5}, ("Choice", 5, 2): {16: 4608, 24: 8226, 21: 9902, 27: 3308, 19: 8702, 20: 9600, 17: 5788, 26: 4778, 18: 7330, 28: 1996, 12: 891, 25: 6329, 22: 10013, 13: 1430, 23: 9510, 15: 3317, 14: 2286, 29: 837, 11: 486, 9: 138, 10: 271, 7: 22, 30: 172, 8: 53, 5: 1, 6: 6}, ("Choice", 5, 3): {22: 9536, 27: 5769, 16: 2672, 23: 10122, 24: 10309, 25: 9165, 21: 8990, 19: 6481, 28: 4603, 15: 1876, 20: 8079, 13: 672, 29: 2846, 26: 7319, 18: 4821, 14: 1120, 17: 3768, 30: 1011, 12: 402, 9: 63, 11: 218, 10: 118, 8: 24, 6: 7, 7: 9}, ("Choice", 5, 4): {27: 7903, 21: 7298, 26: 9341, 16: 1649, 18: 3083, 23: 9471, 24: 10886, 20: 6124, 22: 8263, 30: 3111, 28: 7076, 25: 11012, 19: 4294, 15: 1052, 29: 5839, 17: 2215, 10: 57, 13: 387, 14: 595, 12: 189, 11: 115, 9: 21, 7: 7, 8: 10, 6: 1, 5: 1}, ("Choice", 5, 5): {25: 12129, 23: 7952, 20: 4533, 29: 9384, 17: 1431, 15: 556, 28: 8745, 21: 5662, 27: 9106, 26: 10402, 24: 10206, 18: 1938, 22: 6727, 19: 2991, 30: 6731, 16: 897, 13: 170, 14: 262, 12: 96, 11: 43, 8: 3, 9: 9, 10: 22, 7: 4, 6: 1}, ("Choice", 5, 6): {29: 11896, 30: 11798, 25: 12335, 28: 9678, 27: 9839, 24: 9077, 26: 11056, 23: 6481, 20: 3055, 21: 4282, 15: 298, 22: 5378, 19: 1921, 16: 542, 14: 166, 18: 1217, 13: 81, 17: 810, 12: 45, 10: 13, 11: 24, 9: 5, 7: 1, 8: 2}, ("Choice", 5, 7): {29: 14323, 24: 7418, 25: 11791, 27: 9773, 28: 10189, 20: 2297, 30: 18039, 26: 10837, 16: 301, 18: 676, 23: 5083, 17: 498, 22: 4016, 21: 3251, 19: 1172, 15: 180, 14: 74, 11: 5, 12: 26, 13: 43, 10: 4, 8: 2, 9: 2}, ("Choice", 5, 8): {17: 299, 28: 9897, 22: 2979, 24: 5927, 30: 25220, 23: 3761, 26: 10403, 29: 15421, 25: 11074, 27: 9715, 21: 2281, 20: 1533, 18: 431, 13: 22, 15: 86, 16: 167, 19: 736, 14: 35, 12: 4, 11: 6, 10: 2, 9: 1}, ("Choice", 6, 0): {0: 100000}, ("Choice", 6, 1): {26: 4860, 17: 6178, 19: 8212, 32: 256, 22: 9220, 25: 6226, 14: 2489, 24: 7379, 13: 1658, 27: 3548, 23: 8405, 18: 7257, 31: 508, 20: 8945, 29: 1608, 16: 4809, 11: 532, 21: 9367, 15: 3502, 28: 2495, 30: 938, 10: 282, 12: 962, 34: 53, 33: 121, 8: 49, 9: 114, 7: 15, 35: 9, 36: 2, 6: 1}, ("Choice", 6, 2): {22: 6866, 25: 9290, 18: 2440, 24: 8800, 28: 7991, 30: 5310, 27: 8618, 23: 7807, 20: 4423, 26: 9222, 32: 2553, 29: 6823, 21: 5609, 34: 767, 19: 3344, 17: 1733, 31: 3853, 16: 1159, 13: 227, 15: 686, 9: 12, 12: 113, 33: 1577, 14: 387, 36: 47, 10: 21, 35: 264, 11: 52, 8: 6}, ("Choice", 6, 3): {30: 8077, 16: 498, 25: 7982, 32: 5102, 19: 1728, 26: 8870, 23: 5606, 28: 9118, 22: 4620, 29: 9042, 24: 6840, 20: 2544, 31: 6647, 33: 3768, 35: 1364, 27: 9225, 34: 2548, 21: 3452, 17: 833, 18: 1190, 15: 259, 36: 381, 14: 172, 13: 66, 12: 36, 11: 16, 9: 2, 10: 9, 6: 1, 8: 3, 7: 1}, ("Choice", 6, 4): {25: 6167, 30: 9858, 29: 9441, 32: 7395, 35: 3606, 28: 8910, 31: 9026, 27: 8452, 36: 1528, 22: 2782, 26: 7683, 33: 5996, 20: 1380, 24: 4848, 34: 4876, 21: 2028, 19: 913, 23: 3755, 16: 190, 18: 570, 9: 3, 13: 42, 15: 114, 17: 345, 14: 65, 11: 7, 12: 16, 10: 4}, ("Choice", 6, 5): {35: 6320, 25: 4419, 27: 6891, 30: 10288, 29: 8850, 31: 11006, 32: 9067, 23: 2479, 33: 7800, 24: 3379, 21: 1169, 34: 7012, 28: 7872, 26: 5900, 22: 1736, 36: 4024, 19: 463, 17: 158, 20: 719, 18: 283, 10: 1, 13: 10, 16: 84, 14: 19, 12: 5, 15: 44, 11: 2}, ("Choice", 6, 6): {30: 9632, 35: 9505, 34: 8614, 29: 7718, 33: 9115, 36: 7767, 31: 11682, 28: 6555, 26: 4339, 27: 5474, 32: 10420, 21: 670, 15: 26, 25: 3023, 24: 2068, 18: 125, 23: 1491, 17: 76, 22: 1051, 16: 38, 20: 384, 19: 214, 14: 10, 13: 3}, ("Choice", 6, 7): {36: 12922, 30: 8579, 26: 3251, 33: 9746, 32: 10723, 34: 9580, 27: 4378, 31: 11844, 35: 12063, 25: 1996, 23: 890, 29: 6253, 28: 5095, 24: 1320, 21: 333, 19: 111, 22: 593, 20: 190, 15: 6, 18: 68, 17: 29, 13: 6, 14: 2, 16: 21, 12: 1}, ("Choice", 6, 8): {32: 10601, 27: 3220, 36: 18975, 29: 4925, 31: 11529, 28: 4004, 33: 9674, 35: 14109, 30: 7305, 34: 9888, 26: 2320, 23: 583, 22: 366, 24: 803, 25: 1291, 20: 84, 21: 197, 17: 12, 19: 69, 14: 2, 15: 4, 16: 5, 18: 31, 13: 2, 12: 1}, ("Choice", 7, 0): {0: 100000}, ("Choice", 7, 1): {25: 8584, 29: 5372, 31: 3311, 22: 7434, 30: 4364, 32: 2300, 26: 8246, 35: 620, 20: 5480, 27: 7412, 28: 6528, 17: 2350, 15: 1013, 23: 8119, 21: 6693, 18: 3206, 19: 4340, 16: 1531, 24: 8658, 14: 645, 36: 331, 13: 303, 33: 1609, 37: 144, 34: 1003, 38: 75, 12: 182, 40: 7, 11: 68, 10: 31, 9: 5, 39: 31, 41: 2, 8: 2, 7: 1}, ("Choice", 7, 2): {24: 4282, 27: 7379, 32: 7574, 23: 3300, 31: 8185, 28: 8075, 33: 6776, 34: 5580, 25: 5385, 40: 295, 22: 2549, 19: 869, 30: 8645, 36: 3021, 20: 1291, 26: 6611, 29: 8544, 39: 723, 35: 4362, 17: 312, 38: 1338, 37: 2072, 21: 1820, 16: 162, 18: 535, 15: 117, 13: 23, 41: 96, 14: 48, 12: 13, 11: 3, 10: 4, 42: 11}, ("Choice", 7, 3): {20: 512, 32: 8692, 38: 3242, 26: 4072, 35: 7062, 27: 5195, 29: 7128, 31: 8536, 33: 8367, 25: 3166, 34: 7897, 40: 1429, 37: 4709, 28: 6052, 23: 1757, 39: 2296, 30: 7918, 36: 6068, 24: 2399, 18: 216, 22: 1180, 41: 650, 21: 772, 19: 332, 42: 142, 16: 74, 17: 84, 15: 22, 14: 17, 13: 10, 11: 2, 10: 1, 12: 1}, ("Choice", 7, 4): {37: 7340, 32: 8315, 40: 3283, 34: 8797, 27: 3286, 39: 4403, 36: 8345, 35: 8640, 33: 8544, 41: 2041, 29: 5212, 30: 6351, 28: 4189, 24: 1174, 26: 2450, 38: 5585, 31: 7270, 25: 1741, 22: 552, 23: 853, 42: 774, 21: 364, 20: 213, 18: 63, 19: 137, 15: 12, 16: 24, 17: 37, 14: 4, 13: 1}, ("Choice", 7, 5): {34: 8605, 35: 9013, 42: 2216, 40: 5376, 38: 7940, 32: 6951, 36: 9807, 37: 9314, 41: 4370, 30: 4537, 33: 7741, 29: 3538, 26: 1374, 39: 6342, 31: 5755, 27: 1997, 25: 911, 28: 2619, 21: 149, 23: 426, 22: 233, 24: 591, 19: 51, 20: 86, 17: 19, 15: 5, 18: 25, 12: 1, 16: 6, 14: 1, 13: 1}, ("Choice", 7, 6): {36: 9866, 40: 7308, 34: 7593, 39: 7997, 41: 7152, 32: 5519, 35: 8456, 31: 4130, 42: 4911, 30: 3023, 33: 6703, 37: 10964, 29: 2381, 19: 21, 38: 9214, 27: 1160, 28: 1666, 24: 330, 25: 496, 26: 717, 23: 188, 21: 63, 20: 27, 22: 99, 18: 6, 17: 5, 16: 3, 14: 1, 15: 1}, ("Choice", 7, 7): {36: 9373, 41: 10070, 39: 9031, 31: 2880, 35: 7249, 32: 4085, 40: 8781, 33: 5339, 42: 9078, 30: 1983, 37: 11510, 34: 6308, 38: 10233, 28: 1034, 26: 398, 29: 1440, 27: 609, 20: 21, 25: 258, 24: 162, 23: 84, 22: 43, 17: 2, 18: 1, 21: 17, 19: 10, 16: 1}, ("Choice", 7, 8): {36: 8240, 38: 10538, 35: 5945, 40: 9402, 42: 14556, 39: 9681, 37: 11908, 41: 12225, 30: 1277, 33: 3997, 34: 4959, 32: 3072, 29: 962, 31: 1838, 20: 7, 28: 595, 25: 116, 21: 12, 26: 189, 27: 351, 24: 67, 23: 42, 22: 17, 14: 1, 19: 2, 17: 1}, ("Choice", 8, 0): {0: 100000}, ("Choice", 8, 1): {37: 1519, 30: 7423, 36: 2152, 24: 5910, 32: 5875, 29: 7997, 28: 8093, 23: 4938, 25: 6829, 33: 4822, 22: 3783, 21: 3014, 34: 3978, 20: 2288, 18: 961, 27: 7879, 38: 1040, 26: 7482, 31: 6835, 19: 1530, 39: 601, 42: 99, 17: 592, 15: 215, 41: 205, 35: 2971, 16: 353, 13: 52, 40: 344, 14: 99, 43: 54, 12: 22, 45: 10, 44: 23, 11: 8, 10: 3, 46: 1}, ("Choice", 8, 2): {36: 7415, 29: 5278, 32: 7556, 35: 7836, 40: 3569, 41: 2514, 25: 1878, 30: 6157, 39: 4551, 38: 5614, 34: 7996, 33: 8107, 31: 6977, 26: 2602, 43: 1084, 28: 4293, 37: 6440, 24: 1433, 27: 3436, 23: 997, 20: 248, 42: 1681, 19: 136, 44: 579, 45: 279, 46: 97, 21: 412, 16: 29, 18: 82, 22: 614, 47: 33, 17: 44, 48: 6, 14: 6, 11: 1, 15: 14, 13: 5, 12: 1}, ("Choice", 8, 3): {36: 8217, 25: 833, 33: 6427, 32: 5591, 34: 7101, 23: 354, 37: 8047, 42: 4148, 41: 5414, 38: 7791, 35: 7685, 46: 720, 39: 7085, 28: 2231, 43: 2992, 40: 6337, 31: 4589, 30: 3867, 44: 2012, 29: 3038, 27: 1654, 26: 1176, 24: 575, 45: 1291, 22: 203, 20: 77, 47: 289, 18: 22, 21: 112, 48: 57, 12: 1, 17: 13, 16: 8, 19: 40, 15: 1, 14: 1, 13: 1}, ("Choice", 8, 4): {35: 6237, 34: 5503, 33: 4479, 39: 8280, 41: 7615, 37: 7892, 45: 3075, 44: 4161, 26: 495, 32: 3646, 40: 7908, 29: 1554, 47: 1209, 31: 2802, 27: 803, 38: 8522, 30: 2128, 42: 6672, 36: 7186, 43: 5546, 46: 2005, 24: 223, 48: 376, 28: 1074, 23: 122, 25: 316, 22: 78, 20: 24, 19: 14, 21: 43, 17: 4, 18: 6, 16: 2}, ("Choice", 8, 5): {44: 6279, 48: 1363, 43: 7642, 47: 2872, 42: 8489, 38: 7810, 34: 3845, 29: 785, 37: 6718, 46: 4022, 45: 4966, 40: 8603, 39: 8295, 41: 8710, 31: 1635, 36: 5564, 33: 2972, 35: 4650, 27: 352, 32: 2214, 28: 492, 25: 137, 26: 197, 30: 1214, 22: 28, 24: 70, 23: 46, 21: 13, 19: 5, 20: 8, 17: 2, 18: 1, 16: 1}, ("Choice", 8, 6): {37: 5165, 45: 6764, 41: 8845, 36: 4138, 44: 8244, 39: 7403, 34: 2514, 40: 8083, 38: 6531, 43: 9707, 46: 6010, 48: 3190, 47: 5381, 42: 9405, 31: 877, 35: 3155, 33: 1755, 29: 354, 28: 244, 32: 1318, 30: 573, 20: 4, 26: 88, 27: 147, 25: 44, 24: 35, 22: 9, 23: 12, 21: 2, 18: 1, 16: 1, 19: 1}, ("Choice", 8, 7): {45: 8216, 47: 8070, 42: 9590, 40: 6939, 46: 7645, 41: 8066, 43: 11127, 44: 9360, 34: 1492, 38: 5107, 48: 6428, 39: 6267, 37: 3824, 36: 2861, 35: 2132, 33: 1061, 32: 685, 30: 243, 31: 442, 25: 22, 27: 66, 24: 11, 29: 201, 28: 105, 26: 33, 23: 4, 22: 1, 20: 1, 21: 1}, ("Choice", 8, 8): {46: 8827, 37: 2642, 40: 5881, 44: 10176, 43: 11631, 48: 10818, 42: 8984, 45: 9102, 47: 10686, 41: 7044, 39: 4860, 34: 909, 38: 3885, 36: 1776, 33: 601, 35: 1256, 32: 341, 30: 141, 31: 232, 27: 37, 29: 90, 28: 45, 26: 21, 25: 9, 24: 3, 23: 2, 20: 1}, ("Pair", 0, 0): {0: 100000}, ("Pair", 0, 1): {0: 100000}, ("Pair", 0, 2): {0: 100000}, ("Pair", 0, 3): {0: 100000}, ("Pair", 0, 4): {0: 100000}, ("Pair", 0, 5): {0: 100000}, ("Pair", 0, 6): {0: 100000}, ("Pair", 0, 7): {0: 100000}, ("Pair", 0, 8): {0: 100000}, ("Pair", 1, 0): {0: 100000}, ("Pair", 1, 1): {0: 100000}, ("Pair", 1, 2): {0: 100000}, ("Pair", 1, 3): {0: 100000}, ("Pair", 1, 4): {0: 100000}, ("Pair", 1, 5): {0: 100000}, ("Pair", 1, 6): {0: 100000}, ("Pair", 1, 7): {0: 100000}, ("Pair", 1, 8): {0: 100000}, ("Pair", 2, 0): {0: 100000}, ("Pair", 2, 1): {0: 83388, 10: 16612}, ("Pair", 2, 2): {0: 69422, 10: 30578}, ("Pair", 2, 3): {0: 57830, 10: 42170}, ("Pair", 2, 4): {0: 48195, 10: 51805}, ("Pair", 2, 5): {10: 59883, 0: 40117}, ("Pair", 2, 6): {10: 66714, 0: 33286}, ("Pair", 2, 7): {10: 72083, 0: 27917}, ("Pair", 2, 8): {10: 76646, 0: 23354}, ("Pair", 3, 0): {0: 100000}, ("Pair", 3, 1): {0: 55518, 10: 44482}, ("Pair", 3, 2): {10: 69096, 0: 30904}, ("Pair", 3, 3): {10: 82758, 0: 17242}, ("Pair", 3, 4): {10: 90514, 0: 9486}, ("Pair", 3, 5): {10: 94638, 0: 5362}, ("Pair", 3, 6): {10: 97091, 0: 2909}, ("Pair", 3, 7): {10: 98426, 0: 1574}, ("Pair", 3, 8): {10: 99098, 0: 902}, ("Pair", 4, 0): {0: 100000}, ("Pair", 4, 1): {10: 72211, 0: 27789}, ("Pair", 4, 2): {10: 92201, 0: 7799}, ("Pair", 4, 3): {10: 97887, 0: 2113}, ("Pair", 4, 4): {10: 99399, 0: 601}, ("Pair", 4, 5): {10: 99845, 0: 155}, ("Pair", 4, 6): {10: 99957, 0: 43}, ("Pair", 4, 7): {10: 99990, 0: 10}, ("Pair", 4, 8): {10: 99997, 0: 3}, ("Pair", 5, 0): {0: 100000}, ("Pair", 5, 1): {10: 90702, 0: 9298}, ("Pair", 5, 2): {10: 99137, 0: 863}, ("Pair", 5, 3): {10: 99921, 0: 79}, ("Pair", 5, 4): {10: 99998, 0: 2}, ("Pair", 5, 5): {10: 99998, 0: 2}, ("Pair", 5, 6): {10: 100000}, ("Pair", 5, 7): {10: 100000}, ("Pair", 5, 8): {10: 100000}, ("Pair", 6, 0): {0: 100000}, ("Pair", 6, 1): {10: 98459, 0: 1541}, ("Pair", 6, 2): {10: 99977, 0: 23}, ("Pair", 6, 3): {10: 100000}, ("Pair", 6, 4): {10: 100000}, ("Pair", 6, 5): {10: 100000}, ("Pair", 6, 6): {10: 100000}, ("Pair", 6, 7): {10: 100000}, ("Pair", 6, 8): {10: 100000}, ("Pair", 7, 0): {0: 100000}, ("Pair", 7, 1): {10: 100000}, ("Pair", 7, 2): {10: 100000}, ("Pair", 7, 3): {10: 100000}, ("Pair", 7, 4): {10: 100000}, ("Pair", 7, 5): {10: 100000}, ("Pair", 7, 6): {10: 100000}, ("Pair", 7, 7): {10: 100000}, ("Pair", 7, 8): {10: 100000}, ("Pair", 8, 0): {0: 100000}, ("Pair", 8, 1): {10: 100000}, ("Pair", 8, 2): {10: 100000}, ("Pair", 8, 3): {10: 100000}, ("Pair", 8, 4): {10: 100000}, ("Pair", 8, 5): {10: 100000}, ("Pair", 8, 6): {10: 100000}, ("Pair", 8, 7): {10: 100000}, ("Pair", 8, 8): {10: 100000}, ("ThreeOfAKind", 0, 0): {0: 100000}, ("ThreeOfAKind", 0, 1): {0: 100000}, ("ThreeOfAKind", 0, 2): {0: 100000}, ("ThreeOfAKind", 0, 3): {0: 100000}, ("ThreeOfAKind", 0, 4): {0: 100000}, ("ThreeOfAKind", 0, 5): {0: 100000}, ("ThreeOfAKind", 0, 6): {0: 100000}, ("ThreeOfAKind", 0, 7): {0: 100000}, ("ThreeOfAKind", 0, 8): {0: 100000}, ("ThreeOfAKind", 1, 0): {0: 100000}, ("ThreeOfAKind", 1, 1): {0: 100000}, ("ThreeOfAKind", 1, 2): {0: 100000}, ("ThreeOfAKind", 1, 3): {0: 100000}, ("ThreeOfAKind", 1, 4): {0: 100000}, ("ThreeOfAKind", 1, 5): {0: 100000}, ("ThreeOfAKind", 1, 6): {0: 100000}, ("ThreeOfAKind", 1, 7): {0: 100000}, ("ThreeOfAKind", 1, 8): {0: 100000}, ("ThreeOfAKind", 2, 0): {0: 100000}, ("ThreeOfAKind", 2, 1): {0: 100000}, ("ThreeOfAKind", 2, 2): {0: 100000}, ("ThreeOfAKind", 2, 3): {0: 100000}, ("ThreeOfAKind", 2, 4): {0: 100000}, ("ThreeOfAKind", 2, 5): {0: 100000}, ("ThreeOfAKind", 2, 6): {0: 100000}, ("ThreeOfAKind", 2, 7): {0: 100000}, ("ThreeOfAKind", 2, 8): {0: 100000}, ("ThreeOfAKind", 3, 0): {0: 100000}, ("ThreeOfAKind", 3, 1): {0: 97222, 20: 2778}, ("ThreeOfAKind", 3, 2): {0: 88880, 20: 11120}, ("ThreeOfAKind", 3, 3): {0: 78187, 20: 21813}, ("ThreeOfAKind", 3, 4): {0: 67476, 20: 32524}, ("ThreeOfAKind", 3, 5): {20: 42524, 0: 57476}, ("ThreeOfAKind", 3, 6): {20: 51490, 0: 48510}, ("ThreeOfAKind", 3, 7): {20: 59079, 0: 40921}, ("ThreeOfAKind", 3, 8): {20: 65467, 0: 34533}, ("ThreeOfAKind", 4, 0): {0: 100000}, ("ThreeOfAKind", 4, 1): {0: 90316, 20: 9684}, ("ThreeOfAKind", 4, 2): {20: 31599, 0: 68401}, ("ThreeOfAKind", 4, 3): {20: 50617, 0: 49383}, ("ThreeOfAKind", 4, 4): {20: 65601, 0: 34399}, ("ThreeOfAKind", 4, 5): {20: 75846, 0: 24154}, ("ThreeOfAKind", 4, 6): {20: 83198, 0: 16802}, ("ThreeOfAKind", 4, 7): {20: 88377, 0: 11623}, ("ThreeOfAKind", 4, 8): {20: 91895, 0: 8105}, ("ThreeOfAKind", 5, 0): {0: 100000}, ("ThreeOfAKind", 5, 1): {0: 78629, 20: 21371}, ("ThreeOfAKind", 5, 2): {0: 46013, 20: 53987}, ("ThreeOfAKind", 5, 3): {20: 74302, 0: 25698}, ("ThreeOfAKind", 5, 4): {20: 85795, 0: 14205}, ("ThreeOfAKind", 5, 5): {20: 92068, 0: 7932}, ("ThreeOfAKind", 5, 6): {20: 95643, 0: 4357}, ("ThreeOfAKind", 5, 7): {20: 97568, 0: 2432}, ("ThreeOfAKind", 5, 8): {20: 98622, 0: 1378}, ("ThreeOfAKind", 6, 0): {0: 100000}, ("ThreeOfAKind", 6, 1): {0: 63231, 20: 36769}, ("ThreeOfAKind", 6, 2): {20: 73182, 0: 26818}, ("ThreeOfAKind", 6, 3): {20: 88925, 0: 11075}, ("ThreeOfAKind", 6, 4): {20: 95251, 0: 4749}, ("ThreeOfAKind", 6, 5): {20: 98018, 0: 1982}, ("ThreeOfAKind", 6, 6): {20: 99173, 0: 827}, ("ThreeOfAKind", 6, 7): {20: 99642, 0: 358}, ("ThreeOfAKind", 6, 8): {20: 99854, 0: 146}, ("ThreeOfAKind", 7, 0): {0: 100000}, ("ThreeOfAKind", 7, 1): {0: 45975, 20: 54025}, ("ThreeOfAKind", 7, 2): {20: 86793, 0: 13207}, ("ThreeOfAKind", 7, 3): {20: 96273, 0: 3727}, ("ThreeOfAKind", 7, 4): {20: 98903, 0: 1097}, ("ThreeOfAKind", 7, 5): {20: 99687, 0: 313}, ("ThreeOfAKind", 7, 6): {20: 99904, 0: 96}, ("ThreeOfAKind", 7, 7): {20: 99978, 0: 22}, ("ThreeOfAKind", 7, 8): {20: 99992, 0: 8}, ("ThreeOfAKind", 8, 0): {0: 100000}, ("ThreeOfAKind", 8, 1): {20: 70684, 0: 29316}, ("ThreeOfAKind", 8, 2): {20: 94973, 0: 5027}, ("ThreeOfAKind", 8, 3): {20: 99143, 0: 857}, ("ThreeOfAKind", 8, 4): {20: 99838, 0: 162}, ("ThreeOfAKind", 8, 5): {20: 99975, 0: 25}, ("ThreeOfAKind", 8, 6): {20: 99996, 0: 4}, ("ThreeOfAKind", 8, 7): {20: 99999, 0: 1}, ("ThreeOfAKind", 8, 8): {20: 100000}, ("FourOfAKind", 0, 0): {0: 100000}, ("FourOfAKind", 0, 1): {0: 100000}, ("FourOfAKind", 0, 2): {0: 100000}, ("FourOfAKind", 0, 3): {0: 100000}, ("FourOfAKind", 0, 4): {0: 100000}, ("FourOfAKind", 0, 5): {0: 100000}, ("FourOfAKind", 0, 6): {0: 100000}, ("FourOfAKind", 0, 7): {0: 100000}, ("FourOfAKind", 0, 8): {0: 100000}, ("FourOfAKind", 1, 0): {0: 100000}, ("FourOfAKind", 1, 1): {0: 100000}, ("FourOfAKind", 1, 2): {0: 100000}, ("FourOfAKind", 1, 3): {0: 100000}, ("FourOfAKind", 1, 4): {0: 100000}, ("FourOfAKind", 1, 5): {0: 100000}, ("FourOfAKind", 1, 6): {0: 100000}, ("FourOfAKind", 1, 7): {0: 100000}, ("FourOfAKind", 1, 8): {0: 100000}, ("FourOfAKind", 2, 0): {0: 100000}, ("FourOfAKind", 2, 1): {0: 100000}, ("FourOfAKind", 2, 2): {0: 100000}, ("FourOfAKind", 2, 3): {0: 100000}, ("FourOfAKind", 2, 4): {0: 100000}, ("FourOfAKind", 2, 5): {0: 100000}, ("FourOfAKind", 2, 6): {0: 100000}, ("FourOfAKind", 2, 7): {0: 100000}, ("FourOfAKind", 2, 8): {0: 100000}, ("FourOfAKind", 3, 0): {0: 100000}, ("FourOfAKind", 3, 1): {0: 100000}, ("FourOfAKind", 3, 2): {0: 100000}, ("FourOfAKind", 3, 3): {0: 100000}, ("FourOfAKind", 3, 4): {0: 100000}, ("FourOfAKind", 3, 5): {0: 100000}, ("FourOfAKind", 3, 6): {0: 100000}, ("FourOfAKind", 3, 7): {0: 100000}, ("FourOfAKind", 3, 8): {0: 100000}, ("FourOfAKind", 4, 0): {0: 100000}, ("FourOfAKind", 4, 1): {0: 99516, 30: 484}, ("FourOfAKind", 4, 2): {0: 96122, 30: 3878}, ("FourOfAKind", 4, 3): {0: 89867, 30: 10133}, ("FourOfAKind", 4, 4): {0: 81771, 30: 18229}, ("FourOfAKind", 4, 5): {0: 72893, 30: 27107}, ("FourOfAKind", 4, 6): {0: 64000, 30: 36000}, ("FourOfAKind", 4, 7): {0: 55921, 30: 44079}, ("FourOfAKind", 4, 8): {0: 48175, 30: 51825}, ("FourOfAKind", 5, 0): {0: 100000}, ("FourOfAKind", 5, 1): {0: 97938, 30: 2062}, ("FourOfAKind", 5, 2): {0: 86751, 30: 13249}, ("FourOfAKind", 5, 3): {30: 29114, 0: 70886}, ("FourOfAKind", 5, 4): {0: 54807, 30: 45193}, ("FourOfAKind", 5, 5): {30: 58271, 0: 41729}, ("FourOfAKind", 5, 6): {30: 69040, 0: 30960}, ("FourOfAKind", 5, 7): {0: 22207, 30: 77793}, ("FourOfAKind", 5, 8): {30: 83973, 0: 16027}, ("FourOfAKind", 6, 0): {0: 100000}, ("FourOfAKind", 6, 1): {0: 94810, 30: 5190}, ("FourOfAKind", 6, 2): {0: 73147, 30: 26853}, ("FourOfAKind", 6, 3): {30: 50127, 0: 49873}, ("FourOfAKind", 6, 4): {0: 31913, 30: 68087}, ("FourOfAKind", 6, 5): {30: 80123, 0: 19877}, ("FourOfAKind", 6, 6): {30: 88027, 0: 11973}, ("FourOfAKind", 6, 7): {30: 92676, 0: 7324}, ("FourOfAKind", 6, 8): {30: 95779, 0: 4221}, ("FourOfAKind", 7, 0): {0: 100000}, ("FourOfAKind", 7, 1): {0: 89422, 30: 10578}, ("FourOfAKind", 7, 2): {30: 42951, 0: 57049}, ("FourOfAKind", 7, 3): {30: 69097, 0: 30903}, ("FourOfAKind", 7, 4): {30: 84038, 0: 15962}, ("FourOfAKind", 7, 5): {30: 91852, 0: 8148}, ("FourOfAKind", 7, 6): {30: 96057, 0: 3943}, ("FourOfAKind", 7, 7): {30: 98067, 0: 1933}, ("FourOfAKind", 7, 8): {30: 99088, 0: 912}, ("FourOfAKind", 8, 0): {0: 100000}, ("FourOfAKind", 8, 1): {0: 81614, 30: 18386}, ("FourOfAKind", 8, 2): {30: 59476, 0: 40524}, ("FourOfAKind", 8, 3): {30: 82574, 0: 17426}, ("FourOfAKind", 8, 4): {30: 93042, 0: 6958}, ("FourOfAKind", 8, 5): {30: 97138, 0: 2862}, ("FourOfAKind", 8, 6): {30: 98951, 0: 1049}, ("FourOfAKind", 8, 7): {30: 99599, 0: 401}, ("FourOfAKind", 8, 8): {30: 99844, 0: 156}, ("TinyStraight", 0, 0): {0: 100000}, ("TinyStraight", 0, 1): {0: 100000}, ("TinyStraight", 0, 2): {0: 100000}, ("TinyStraight", 0, 3): {0: 100000}, ("TinyStraight", 0, 4): {0: 100000}, ("TinyStraight", 0, 5): {0: 100000}, ("TinyStraight", 0, 6): {0: 100000}, ("TinyStraight", 0, 7): {0: 100000}, ("TinyStraight", 0, 8): {0: 100000}, ("TinyStraight", 1, 0): {0: 100000}, ("TinyStraight", 1, 1): {0: 100000}, ("TinyStraight", 1, 2): {0: 100000}, ("TinyStraight", 1, 3): {0: 100000}, ("TinyStraight", 1, 4): {0: 100000}, ("TinyStraight", 1, 5): {0: 100000}, ("TinyStraight", 1, 6): {0: 100000}, ("TinyStraight", 1, 7): {0: 100000}, ("TinyStraight", 1, 8): {0: 100000}, ("TinyStraight", 2, 0): {0: 100000}, ("TinyStraight", 2, 1): {0: 100000}, ("TinyStraight", 2, 2): {0: 100000}, ("TinyStraight", 2, 3): {0: 100000}, ("TinyStraight", 2, 4): {0: 100000}, ("TinyStraight", 2, 5): {0: 100000}, ("TinyStraight", 2, 6): {0: 100000}, ("TinyStraight", 2, 7): {0: 100000}, ("TinyStraight", 2, 8): {0: 100000}, ("TinyStraight", 3, 0): {0: 100000}, ("TinyStraight", 3, 1): {0: 91672, 20: 8328}, ("TinyStraight", 3, 2): {0: 79082, 20: 20918}, ("TinyStraight", 3, 3): {0: 66490, 20: 33510}, ("TinyStraight", 3, 4): {0: 55797, 20: 44203}, ("TinyStraight", 3, 5): {0: 46967, 20: 53033}, ("TinyStraight", 3, 6): {20: 60405, 0: 39595}, ("TinyStraight", 3, 7): {20: 66616, 0: 33384}, ("TinyStraight", 3, 8): {20: 71253, 0: 28747}, ("TinyStraight", 4, 0): {0: 100000}, ("TinyStraight", 4, 1): {0: 78812, 20: 21188}, ("TinyStraight", 4, 2): {0: 55525, 20: 44475}, ("TinyStraight", 4, 3): {0: 38148, 20: 61852}, ("TinyStraight", 4, 4): {20: 73568, 0: 26432}, ("TinyStraight", 4, 5): {20: 81775, 0: 18225}, ("TinyStraight", 4, 6): {20: 87242, 0: 12758}, ("TinyStraight", 4, 7): {20: 91009, 0: 8991}, ("TinyStraight", 4, 8): {20: 93675, 0: 6325}, ("TinyStraight", 5, 0): {0: 100000}, ("TinyStraight", 5, 1): {20: 35021, 0: 64979}, ("TinyStraight", 5, 2): {0: 36509, 20: 63491}, ("TinyStraight", 5, 3): {20: 79424, 0: 20576}, ("TinyStraight", 5, 4): {20: 88415, 0: 11585}, ("TinyStraight", 5, 5): {20: 93126, 0: 6874}, ("TinyStraight", 5, 6): {20: 96202, 0: 3798}, ("TinyStraight", 5, 7): {20: 97786, 0: 2214}, ("TinyStraight", 5, 8): {20: 98728, 0: 1272}, ("TinyStraight", 6, 0): {0: 100000}, ("TinyStraight", 6, 1): {0: 52157, 20: 47843}, ("TinyStraight", 6, 2): {20: 76359, 0: 23641}, ("TinyStraight", 6, 3): {20: 89117, 0: 10883}, ("TinyStraight", 6, 4): {20: 94873, 0: 5127}, ("TinyStraight", 6, 5): {20: 97558, 0: 2442}, ("TinyStraight", 6, 6): {20: 98842, 0: 1158}, ("TinyStraight", 6, 7): {20: 99458, 0: 542}, ("TinyStraight", 6, 8): {20: 99748, 0: 252}, ("TinyStraight", 7, 0): {0: 100000}, ("TinyStraight", 7, 1): {20: 58508, 0: 41492}, ("TinyStraight", 7, 2): {0: 15072, 20: 84928}, ("TinyStraight", 7, 3): {20: 94095, 0: 5905}, ("TinyStraight", 7, 4): {20: 97754, 0: 2246}, ("TinyStraight", 7, 5): {20: 99058, 0: 942}, ("TinyStraight", 7, 6): {20: 99663, 0: 337}, ("TinyStraight", 7, 7): {20: 99845, 0: 155}, ("TinyStraight", 7, 8): {20: 99939, 0: 61}, ("TinyStraight", 8, 0): {0: 100000}, ("TinyStraight", 8, 1): {0: 32993, 20: 67007}, ("TinyStraight", 8, 2): {20: 89926, 0: 10074}, ("TinyStraight", 8, 3): {20: 96842, 0: 3158}, ("TinyStraight", 8, 4): {20: 98940, 0: 1060}, ("TinyStraight", 8, 5): {20: 99644, 0: 356}, ("TinyStraight", 8, 6): {20: 99883, 0: 117}, ("TinyStraight", 8, 7): {20: 99968, 0: 32}, ("TinyStraight", 8, 8): {20: 99990, 0: 10}, ("SmallStraight", 0, 0): {0: 100000}, ("SmallStraight", 0, 1): {0: 100000}, ("SmallStraight", 0, 2): {0: 100000}, ("SmallStraight", 0, 3): {0: 100000}, ("SmallStraight", 0, 4): {0: 100000}, ("SmallStraight", 0, 5): {0: 100000}, ("SmallStraight", 0, 6): {0: 100000}, ("SmallStraight", 0, 7): {0: 100000}, ("SmallStraight", 0, 8): {0: 100000}, ("SmallStraight", 1, 0): {0: 100000}, ("SmallStraight", 1, 1): {0: 100000}, ("SmallStraight", 1, 2): {0: 100000}, ("SmallStraight", 1, 3): {0: 100000}, ("SmallStraight", 1, 4): {0: 100000}, ("SmallStraight", 1, 5): {0: 100000}, ("SmallStraight", 1, 6): {0: 100000}, ("SmallStraight", 1, 7): {0: 100000}, ("SmallStraight", 1, 8): {0: 100000}, ("SmallStraight", 2, 0): {0: 100000}, ("SmallStraight", 2, 1): {0: 100000}, ("SmallStraight", 2, 2): {0: 100000}, ("SmallStraight", 2, 3): {0: 100000}, ("SmallStraight", 2, 4): {0: 100000}, ("SmallStraight", 2, 5): {0: 100000}, ("SmallStraight", 2, 6): {0: 100000}, ("SmallStraight", 2, 7): {0: 100000}, ("SmallStraight", 2, 8): {0: 100000}, ("SmallStraight", 3, 0): {0: 100000}, ("SmallStraight", 3, 1): {0: 100000}, ("SmallStraight", 3, 2): {0: 100000}, ("SmallStraight", 3, 3): {0: 100000}, ("SmallStraight", 3, 4): {0: 100000}, ("SmallStraight", 3, 5): {0: 100000}, ("SmallStraight", 3, 6): {0: 100000}, ("SmallStraight", 3, 7): {0: 100000}, ("SmallStraight", 3, 8): {0: 100000}, ("SmallStraight", 4, 0): {0: 100000}, ("SmallStraight", 4, 1): {0: 94516, 30: 5484}, ("SmallStraight", 4, 2): {0: 82700, 30: 17300}, ("SmallStraight", 4, 3): {0: 67926, 30: 32074}, ("SmallStraight", 4, 4): {30: 45735, 0: 54265}, ("SmallStraight", 4, 5): {0: 42130, 30: 57870}, ("SmallStraight", 4, 6): {0: 32536, 30: 67464}, ("SmallStraight", 4, 7): {0: 25008, 30: 74992}, ("SmallStraight", 4, 8): {30: 80405, 0: 19595}, ("SmallStraight", 5, 0): {0: 100000}, ("SmallStraight", 5, 1): {0: 84528, 30: 15472}, ("SmallStraight", 5, 2): {0: 60775, 30: 39225}, ("SmallStraight", 5, 3): {0: 39543, 30: 60457}, ("SmallStraight", 5, 4): {30: 75240, 0: 24760}, ("SmallStraight", 5, 5): {30: 84287, 0: 15713}, ("SmallStraight", 5, 6): {30: 89801, 0: 10199}, ("SmallStraight", 5, 7): {30: 93382, 0: 6618}, ("SmallStraight", 5, 8): {30: 95795, 0: 4205}, ("SmallStraight", 6, 0): {0: 100000}, ("SmallStraight", 6, 1): {0: 73121, 30: 26879}, ("SmallStraight", 6, 2): {30: 58168, 0: 41832}, ("SmallStraight", 6, 3): {30: 78051, 0: 21949}, ("SmallStraight", 6, 4): {30: 88696, 0: 11304}, ("SmallStraight", 6, 5): {30: 93937, 0: 6063}, ("SmallStraight", 6, 6): {30: 96638, 0: 3362}, ("SmallStraight", 6, 7): {30: 98201, 0: 1799}, ("SmallStraight", 6, 8): {30: 98931, 0: 1069}, ("SmallStraight", 7, 0): {0: 100000}, ("SmallStraight", 7, 1): {0: 61837, 30: 38163}, ("SmallStraight", 7, 2): {30: 71798, 0: 28202}, ("SmallStraight", 7, 3): {30: 87813, 0: 12187}, ("SmallStraight", 7, 4): {30: 94573, 0: 5427}, ("SmallStraight", 7, 5): {30: 97556, 0: 2444}, ("SmallStraight", 7, 6): {30: 98856, 0: 1144}, ("SmallStraight", 7, 7): {30: 99412, 0: 588}, ("SmallStraight", 7, 8): {30: 99742, 0: 258}, ("SmallStraight", 8, 0): {0: 100000}, ("SmallStraight", 8, 1): {30: 48606, 0: 51394}, ("SmallStraight", 8, 2): {30: 80910, 0: 19090}, ("SmallStraight", 8, 3): {0: 7104, 30: 92896}, ("SmallStraight", 8, 4): {30: 97355, 0: 2645}, ("SmallStraight", 8, 5): {30: 98990, 0: 1010}, ("SmallStraight", 8, 6): {30: 99592, 0: 408}, ("SmallStraight", 8, 7): {30: 99847, 0: 153}, ("SmallStraight", 8, 8): {30: 99922, 0: 78}, ("LargeStraight", 0, 0): {0: 100000}, ("LargeStraight", 0, 1): {0: 100000}, ("LargeStraight", 0, 2): {0: 100000}, ("LargeStraight", 0, 3): {0: 100000}, ("LargeStraight", 0, 4): {0: 100000}, ("LargeStraight", 0, 5): {0: 100000}, ("LargeStraight", 0, 6): {0: 100000}, ("LargeStraight", 0, 7): {0: 100000}, ("LargeStraight", 0, 8): {0: 100000}, ("LargeStraight", 1, 0): {0: 100000}, ("LargeStraight", 1, 1): {0: 100000}, ("LargeStraight", 1, 2): {0: 100000}, ("LargeStraight", 1, 3): {0: 100000}, ("LargeStraight", 1, 4): {0: 100000}, ("LargeStraight", 1, 5): {0: 100000}, ("LargeStraight", 1, 6): {0: 100000}, ("LargeStraight", 1, 7): {0: 100000}, ("LargeStraight", 1, 8): {0: 100000}, ("LargeStraight", 2, 0): {0: 100000}, ("LargeStraight", 2, 1): {0: 100000}, ("LargeStraight", 2, 2): {0: 100000}, ("LargeStraight", 2, 3): {0: 100000}, ("LargeStraight", 2, 4): {0: 100000}, ("LargeStraight", 2, 5): {0: 100000}, ("LargeStraight", 2, 6): {0: 100000}, ("LargeStraight", 2, 7): {0: 100000}, ("LargeStraight", 2, 8): {0: 100000}, ("LargeStraight", 3, 0): {0: 100000}, ("LargeStraight", 3, 1): {0: 100000}, ("LargeStraight", 3, 2): {0: 100000}, ("LargeStraight", 3, 3): {0: 100000}, ("LargeStraight", 3, 4): {0: 100000}, ("LargeStraight", 3, 5): {0: 100000}, ("LargeStraight", 3, 6): {0: 100000}, ("LargeStraight", 3, 7): {0: 100000}, ("LargeStraight", 3, 8): {0: 100000}, ("LargeStraight", 4, 0): {0: 100000}, ("LargeStraight", 4, 1): {0: 100000}, ("LargeStraight", 4, 2): {0: 100000}, ("LargeStraight", 4, 3): {0: 100000}, ("LargeStraight", 4, 4): {0: 100000}, ("LargeStraight", 4, 5): {0: 100000}, ("LargeStraight", 4, 6): {0: 100000}, ("LargeStraight", 4, 7): {0: 100000}, ("LargeStraight", 4, 8): {0: 100000}, ("LargeStraight", 5, 0): {0: 100000}, ("LargeStraight", 5, 1): {0: 96929, 40: 3071}, ("LargeStraight", 5, 2): {0: 87056, 40: 12944}, ("LargeStraight", 5, 3): {0: 75101, 40: 24899}, ("LargeStraight", 5, 4): {0: 63617, 40: 36383}, ("LargeStraight", 5, 5): {0: 53149, 40: 46851}, ("LargeStraight", 5, 6): {0: 44321, 40: 55679}, ("LargeStraight", 5, 7): {40: 63052, 0: 36948}, ("LargeStraight", 5, 8): {0: 30661, 40: 69339}, ("LargeStraight", 6, 0): {0: 100000}, ("LargeStraight", 6, 1): {0: 90756, 40: 9244}, ("LargeStraight", 6, 2): {0: 69805, 40: 30195}, ("LargeStraight", 6, 3): {0: 49814, 40: 50186}, ("LargeStraight", 6, 4): {40: 64898, 0: 35102}, ("LargeStraight", 6, 5): {40: 75615, 0: 24385}, ("LargeStraight", 6, 6): {40: 82982, 0: 17018}, ("LargeStraight", 6, 7): {40: 88261, 0: 11739}, ("LargeStraight", 6, 8): {40: 92028, 0: 7972}, ("LargeStraight", 7, 0): {0: 100000}, ("LargeStraight", 7, 1): {0: 82840, 40: 17160}, ("LargeStraight", 7, 2): {0: 52821, 40: 47179}, ("LargeStraight", 7, 3): {40: 68652, 0: 31348}, ("LargeStraight", 7, 4): {40: 81834, 0: 18166}, ("LargeStraight", 7, 5): {40: 89310, 0: 10690}, ("LargeStraight", 7, 6): {40: 93949, 0: 6051}, ("LargeStraight", 7, 7): {40: 96383, 0: 3617}, ("LargeStraight", 7, 8): {40: 98059, 0: 1941}, ("LargeStraight", 8, 0): {0: 100000}, ("LargeStraight", 8, 1): {40: 26480, 0: 73520}, ("LargeStraight", 8, 2): {40: 60969, 0: 39031}, ("LargeStraight", 8, 3): {40: 80844, 0: 19156}, ("LargeStraight", 8, 4): {40: 90696, 0: 9304}, ("LargeStraight", 8, 5): {40: 95580, 0: 4420}, ("LargeStraight", 8, 6): {40: 97859, 0: 2141}, ("LargeStraight", 8, 7): {40: 98963, 0: 1037}, ("LargeStraight", 8, 8): {40: 99489, 0: 511}, ("FullHouse", 0, 0): {0: 100000}, ("FullHouse", 0, 1): {0: 100000}, ("FullHouse", 0, 2): {0: 100000}, ("FullHouse", 0, 3): {0: 100000}, ("FullHouse", 0, 4): {0: 100000}, ("FullHouse", 0, 5): {0: 100000}, ("FullHouse", 0, 6): {0: 100000}, ("FullHouse", 0, 7): {0: 100000}, ("FullHouse", 0, 8): {0: 100000}, ("FullHouse", 1, 0): {0: 100000}, ("FullHouse", 1, 1): {0: 100000}, ("FullHouse", 1, 2): {0: 100000}, ("FullHouse", 1, 3): {0: 100000}, ("FullHouse", 1, 4): {0: 100000}, ("FullHouse", 1, 5): {0: 100000}, ("FullHouse", 1, 6): {0: 100000}, ("FullHouse", 1, 7): {0: 100000}, ("FullHouse", 1, 8): {0: 100000}, ("FullHouse", 2, 0): {0: 100000}, ("FullHouse", 2, 1): {0: 100000}, ("FullHouse", 2, 2): {0: 100000}, ("FullHouse", 2, 3): {0: 100000}, ("FullHouse", 2, 4): {0: 100000}, ("FullHouse", 2, 5): {0: 100000}, ("FullHouse", 2, 6): {0: 100000}, ("FullHouse", 2, 7): {0: 100000}, ("FullHouse", 2, 8): {0: 100000}, ("FullHouse", 3, 0): {0: 100000}, ("FullHouse", 3, 1): {0: 100000}, ("FullHouse", 3, 2): {0: 100000}, ("FullHouse", 3, 3): {0: 100000}, ("FullHouse", 3, 4): {0: 100000}, ("FullHouse", 3, 5): {0: 100000}, ("FullHouse", 3, 6): {0: 100000}, ("FullHouse", 3, 7): {0: 100000}, ("FullHouse", 3, 8): {0: 100000}, ("FullHouse", 4, 0): {0: 100000}, ("FullHouse", 4, 1): {0: 100000}, ("FullHouse", 4, 2): {0: 100000}, ("FullHouse", 4, 3): {0: 100000}, ("FullHouse", 4, 4): {0: 100000}, ("FullHouse", 4, 5): {0: 100000}, ("FullHouse", 4, 6): {0: 100000}, ("FullHouse", 4, 7): {0: 100000}, ("FullHouse", 4, 8): {0: 100000}, ("FullHouse", 5, 0): {0: 100000}, ("FullHouse", 5, 1): {0: 96155, 25: 3845}, ("FullHouse", 5, 2): {0: 81391, 25: 18609}, ("FullHouse", 5, 3): {25: 35700, 0: 64300}, ("FullHouse", 5, 4): {25: 50331, 0: 49669}, ("FullHouse", 5, 5): {25: 61981, 0: 38019}, ("FullHouse", 5, 6): {25: 70249, 0: 29751}, ("FullHouse", 5, 7): {25: 77040, 0: 22960}, ("FullHouse", 5, 8): {25: 81350, 0: 18650}, ("FullHouse", 6, 0): {0: 100000}, ("FullHouse", 6, 1): {25: 17011, 0: 82989}, ("FullHouse", 6, 2): {0: 47153, 25: 52847}, ("FullHouse", 6, 3): {25: 75849, 0: 24151}, ("FullHouse", 6, 4): {0: 12519, 25: 87481}, ("FullHouse", 6, 5): {25: 93476, 0: 6524}, ("FullHouse", 6, 6): {0: 3606, 25: 96394}, ("FullHouse", 6, 7): {25: 98041, 0: 1959}, ("FullHouse", 6, 8): {25: 98974, 0: 1026}, ("FullHouse", 7, 0): {0: 100000}, ("FullHouse", 7, 1): {0: 60232, 25: 39768}, ("FullHouse", 7, 2): {25: 81106, 0: 18894}, ("FullHouse", 7, 3): {25: 94318, 0: 5682}, ("FullHouse", 7, 4): {25: 98294, 0: 1706}, ("FullHouse", 7, 5): {25: 99478, 0: 522}, ("FullHouse", 7, 6): {25: 99854, 0: 146}, ("FullHouse", 7, 7): {25: 99946, 0: 54}, ("FullHouse", 7, 8): {25: 99982, 0: 18}, ("FullHouse", 8, 0): {0: 100000}, ("FullHouse", 8, 1): {0: 35909, 25: 64091}, ("FullHouse", 8, 2): {25: 94288, 0: 5712}, ("FullHouse", 8, 3): {25: 99070, 0: 930}, ("FullHouse", 8, 4): {25: 99835, 0: 165}, ("FullHouse", 8, 5): {25: 99981, 0: 19}, ("FullHouse", 8, 6): {25: 99994, 0: 6}, ("FullHouse", 8, 7): {25: 100000}, ("FullHouse", 8, 8): {25: 100000}, ("Yacht", 0, 0): {0: 100000}, ("Yacht", 0, 1): {0: 100000}, ("Yacht", 0, 2): {0: 100000}, ("Yacht", 0, 3): {0: 100000}, ("Yacht", 0, 4): {0: 100000}, ("Yacht", 0, 5): {0: 100000}, ("Yacht", 0, 6): {0: 100000}, ("Yacht", 0, 7): {0: 100000}, ("Yacht", 0, 8): {0: 100000}, ("Yacht", 1, 0): {0: 100000}, ("Yacht", 1, 1): {0: 100000}, ("Yacht", 1, 2): {0: 100000}, ("Yacht", 1, 3): {0: 100000}, ("Yacht", 1, 4): {0: 100000}, ("Yacht", 1, 5): {0: 100000}, ("Yacht", 1, 6): {0: 100000}, ("Yacht", 1, 7): {0: 100000}, ("Yacht", 1, 8): {0: 100000}, ("Yacht", 2, 0): {0: 100000}, ("Yacht", 2, 1): {0: 100000}, ("Yacht", 2, 2): {0: 100000}, ("Yacht", 2, 3): {0: 100000}, ("Yacht", 2, 4): {0: 100000}, ("Yacht", 2, 5): {0: 100000}, ("Yacht", 2, 6): {0: 100000}, ("Yacht", 2, 7): {0: 100000}, ("Yacht", 2, 8): {0: 100000}, ("Yacht", 3, 0): {0: 100000}, ("Yacht", 3, 1): {0: 100000}, ("Yacht", 3, 2): {0: 100000}, ("Yacht", 3, 3): {0: 100000}, ("Yacht", 3, 4): {0: 100000}, ("Yacht", 3, 5): {0: 100000}, ("Yacht", 3, 6): {0: 100000}, ("Yacht", 3, 7): {0: 100000}, ("Yacht", 3, 8): {0: 100000}, ("Yacht", 4, 0): {0: 100000}, ("Yacht", 4, 1): {0: 100000}, ("Yacht", 4, 2): {0: 100000}, ("Yacht", 4, 3): {0: 100000}, ("Yacht", 4, 4): {0: 100000}, ("Yacht", 4, 5): {0: 100000}, ("Yacht", 4, 6): {0: 100000}, ("Yacht", 4, 7): {0: 100000}, ("Yacht", 4, 8): {0: 100000}, ("Yacht", 5, 0): {0: 100000}, ("Yacht", 5, 1): {0: 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}}
\ No newline at end of file