diff --git a/worlds/yachtdice/Rules.py b/worlds/yachtdice/Rules.py
index d99f5b14..3fb712fd 100644
--- a/worlds/yachtdice/Rules.py
+++ b/worlds/yachtdice/Rules.py
@@ -101,14 +101,15 @@ def dice_simulation_strings(categories, num_dice, num_rolls, fixed_mult, step_mu
         return yachtdice_cache[player][tup]
 
     # sort categories because for the step multiplier, you will want low-scoring categories first
-    categories.sort(key=lambda category: category.mean_score(num_dice, num_rolls))
+    # to avoid errors with order changing when obtaining rolls, we order assuming 4 rolls
+    categories.sort(key=lambda category: category.mean_score(num_dice, 4))
 
     # function to add two discrete distribution.
     # defaultdict is a dict where you don't need to check if an id is present, you can just use += (lot faster)
     def add_distributions(dist1, dist2):
         combined_dist = defaultdict(float)
-        for val1, prob1 in dist1.items():
-            for val2, prob2 in dist2.items():
+        for val2, prob2 in dist2.items():
+            for val1, prob1 in dist1.items():
                 combined_dist[val1 + val2] += prob1 * prob2
         return dict(combined_dist)
 
diff --git a/worlds/yachtdice/YachtWeights.py b/worlds/yachtdice/YachtWeights.py
index 5f647f34..f18766d9 100644
--- a/worlds/yachtdice/YachtWeights.py
+++ b/worlds/yachtdice/YachtWeights.py
@@ -1,11 +1,3 @@
-# A file containing the results of our simulations.
-# Every entry consists of a key. This key has input category, number of dice, and number of rolls.
-# The value then shows a list of all possible scores to get, and how many times of 100000 it achieved.
-
-# example: ("Category Choice", 2, 2):
-# {8: 13639, 9: 12220, 10: 13755, 5: 4889, 6: 9840, 7: 14772, 12: 7780, 11: 15622, 2: 1269, 3: 2445, 4: 3769}
-# this example shows the outcomes for the category "Category Choice", with 2 dice and 2 rolls.
-# 13639 out of 100000 times, a score of 8 was achieved for example.
 yacht_weights = {
     ("Category Ones", 0, 0): {0: 100000},
     ("Category Ones", 0, 1): {0: 100000},
@@ -30,64 +22,64 @@ yacht_weights = {
     ("Category Ones", 2, 2): {0: 100000},
     ("Category Ones", 2, 3): {0: 33544, 1: 66456},
     ("Category Ones", 2, 4): {0: 23342, 1: 76658},
-    ("Category Ones", 2, 5): {0: 16036, 2: 83964},
-    ("Category Ones", 2, 6): {0: 11355, 2: 88645},
-    ("Category Ones", 2, 7): {0: 7812, 2: 92188},
-    ("Category Ones", 2, 8): {0: 5395, 2: 94605},
+    ("Category Ones", 2, 5): {0: 16036, 1: 83964},
+    ("Category Ones", 2, 6): {0: 11355, 1: 88645},
+    ("Category Ones", 2, 7): {0: 7812, 1: 92188},
+    ("Category Ones", 2, 8): {0: 5395, 1: 94605},
     ("Category Ones", 3, 0): {0: 100000},
     ("Category Ones", 3, 1): {0: 100000},
     ("Category Ones", 3, 2): {0: 33327, 1: 66673},
-    ("Category Ones", 3, 3): {0: 19432, 2: 80568},
-    ("Category Ones", 3, 4): {0: 11191, 2: 88809},
-    ("Category Ones", 3, 5): {0: 35427, 2: 64573},
-    ("Category Ones", 3, 6): {0: 26198, 2: 73802},
-    ("Category Ones", 3, 7): {0: 18851, 3: 81149},
-    ("Category Ones", 3, 8): {0: 13847, 3: 86153},
+    ("Category Ones", 3, 3): {0: 19432, 1: 80568},
+    ("Category Ones", 3, 4): {0: 11191, 1: 88809},
+    ("Category Ones", 3, 5): {0: 3963, 2: 64583, 1: 31454},
+    ("Category Ones", 3, 6): {0: 3286, 2: 96714},
+    ("Category Ones", 3, 7): {0: 57, 2: 99943},
+    ("Category Ones", 3, 8): {2: 100000},
     ("Category Ones", 4, 0): {0: 100000},
     ("Category Ones", 4, 1): {0: 100000},
-    ("Category Ones", 4, 2): {0: 23349, 2: 76651},
-    ("Category Ones", 4, 3): {0: 11366, 2: 88634},
-    ("Category Ones", 4, 4): {0: 28572, 3: 71428},
-    ("Category Ones", 4, 5): {0: 17976, 3: 82024},
-    ("Category Ones", 4, 6): {0: 1253, 3: 98747},
-    ("Category Ones", 4, 7): {0: 31228, 3: 68772},
-    ("Category Ones", 4, 8): {0: 23273, 4: 76727},
+    ("Category Ones", 4, 2): {0: 23349, 1: 76651},
+    ("Category Ones", 4, 3): {0: 11366, 1: 88634},
+    ("Category Ones", 4, 4): {0: 3246, 2: 71438, 1: 25316},
+    ("Category Ones", 4, 5): {0: 1466, 2: 98534},
+    ("Category Ones", 4, 6): {0: 7, 2: 99993},
+    ("Category Ones", 4, 7): {0: 2, 2: 31222, 3: 68776},
+    ("Category Ones", 4, 8): {3: 99999, 2: 1},
     ("Category Ones", 5, 0): {0: 100000},
     ("Category Ones", 5, 1): {0: 100000},
-    ("Category Ones", 5, 2): {0: 16212, 2: 83788},
-    ("Category Ones", 5, 3): {0: 30104, 3: 69896},
-    ("Category Ones", 5, 4): {0: 2552, 3: 97448},
-    ("Category Ones", 5, 5): {0: 32028, 4: 67972},
-    ("Category Ones", 5, 6): {0: 21215, 4: 78785},
-    ("Category Ones", 5, 7): {0: 2295, 4: 97705},
-    ("Category Ones", 5, 8): {0: 1167, 4: 98833},
+    ("Category Ones", 5, 2): {0: 16212, 1: 83788},
+    ("Category Ones", 5, 3): {0: 4879, 2: 69906, 1: 25215},
+    ("Category Ones", 5, 4): {0: 1513, 2: 98487},
+    ("Category Ones", 5, 5): {0: 484, 2: 31541, 3: 67975},
+    ("Category Ones", 5, 6): {3: 99785, 2: 215},
+    ("Category Ones", 5, 7): {3: 100000},
+    ("Category Ones", 5, 8): {4: 66815, 3: 33185},
     ("Category Ones", 6, 0): {0: 100000},
     ("Category Ones", 6, 1): {0: 33501, 1: 66499},
-    ("Category Ones", 6, 2): {0: 40705, 2: 59295},
-    ("Category Ones", 6, 3): {0: 3764, 3: 96236},
-    ("Category Ones", 6, 4): {0: 9324, 4: 90676},
-    ("Category Ones", 6, 5): {0: 4208, 4: 95792},
-    ("Category Ones", 6, 6): {0: 158, 5: 99842},
-    ("Category Ones", 6, 7): {0: 5503, 5: 94497},
-    ("Category Ones", 6, 8): {0: 2896, 5: 97104},
+    ("Category Ones", 6, 2): {0: 11326, 1: 88674},
+    ("Category Ones", 6, 3): {0: 2289, 2: 79783, 1: 17928},
+    ("Category Ones", 6, 4): {0: 10, 3: 68933, 2: 30973, 1: 84},
+    ("Category Ones", 6, 5): {0: 4, 3: 99996},
+    ("Category Ones", 6, 6): {2: 1, 4: 67785, 3: 32214},
+    ("Category Ones", 6, 7): {4: 100000},
+    ("Category Ones", 6, 8): {4: 100000},
     ("Category Ones", 7, 0): {0: 100000},
-    ("Category Ones", 7, 1): {0: 27838, 2: 72162},
-    ("Category Ones", 7, 2): {0: 7796, 3: 92204},
-    ("Category Ones", 7, 3): {0: 13389, 4: 86611},
-    ("Category Ones", 7, 4): {0: 5252, 4: 94748},
-    ("Category Ones", 7, 5): {0: 9854, 5: 90146},
-    ("Category Ones", 7, 6): {0: 4625, 5: 95375},
-    ("Category Ones", 7, 7): {0: 30339, 6: 69661},
-    ("Category Ones", 7, 8): {0: 5519, 6: 94481},
+    ("Category Ones", 7, 1): {0: 27838, 1: 72162},
+    ("Category Ones", 7, 2): {0: 8807, 2: 68364, 1: 22829},
+    ("Category Ones", 7, 3): {0: 75, 3: 62348, 2: 35246, 1: 2331},
+    ("Category Ones", 7, 4): {0: 6, 3: 99994},
+    ("Category Ones", 7, 5): {3: 29500, 4: 70500},
+    ("Category Ones", 7, 6): {4: 100000},
+    ("Category Ones", 7, 7): {4: 30322, 5: 69678},
+    ("Category Ones", 7, 8): {5: 100000},
     ("Category Ones", 8, 0): {0: 100000},
-    ("Category Ones", 8, 1): {0: 23156, 2: 76844},
-    ("Category Ones", 8, 2): {0: 5472, 3: 94528},
-    ("Category Ones", 8, 3): {0: 8661, 4: 91339},
-    ("Category Ones", 8, 4): {0: 12125, 5: 87875},
-    ("Category Ones", 8, 5): {0: 5173, 5: 94827},
-    ("Category Ones", 8, 6): {0: 8872, 6: 91128},
-    ("Category Ones", 8, 7): {0: 4236, 6: 95764},
-    ("Category Ones", 8, 8): {0: 9107, 7: 90893},
+    ("Category Ones", 8, 1): {0: 23156, 1: 76844},
+    ("Category Ones", 8, 2): {0: 5678, 2: 75480, 1: 18842},
+    ("Category Ones", 8, 3): {0: 28, 3: 99972},
+    ("Category Ones", 8, 4): {3: 32486, 4: 67514},
+    ("Category Ones", 8, 5): {4: 100000},
+    ("Category Ones", 8, 6): {5: 74125, 4: 25875},
+    ("Category Ones", 8, 7): {6: 60476, 5: 29297, 4: 10227},
+    ("Category Ones", 8, 8): {6: 99999, 5: 1},
     ("Category Twos", 0, 0): {0: 100000},
     ("Category Twos", 0, 1): {0: 100000},
     ("Category Twos", 0, 2): {0: 100000},
@@ -99,7 +91,7 @@ yacht_weights = {
     ("Category Twos", 0, 8): {0: 100000},
     ("Category Twos", 1, 0): {0: 100000},
     ("Category Twos", 1, 1): {0: 100000},
-    ("Category Twos", 1, 2): {0: 100000},
+    ("Category Twos", 1, 2): {0: 69690, 2: 30310},
     ("Category Twos", 1, 3): {0: 57818, 2: 42182},
     ("Category Twos", 1, 4): {0: 48418, 2: 51582},
     ("Category Twos", 1, 5): {0: 40301, 2: 59699},
@@ -107,68 +99,68 @@ yacht_weights = {
     ("Category Twos", 1, 7): {0: 28182, 2: 71818},
     ("Category Twos", 1, 8): {0: 23406, 2: 76594},
     ("Category Twos", 2, 0): {0: 100000},
-    ("Category Twos", 2, 1): {0: 100000},
+    ("Category Twos", 2, 1): {0: 69724, 2: 30276},
     ("Category Twos", 2, 2): {0: 48238, 2: 51762},
-    ("Category Twos", 2, 3): {0: 33290, 4: 66710},
-    ("Category Twos", 2, 4): {0: 23136, 4: 76864},
-    ("Category Twos", 2, 5): {0: 16146, 4: 83854},
-    ("Category Twos", 2, 6): {0: 11083, 4: 88917},
-    ("Category Twos", 2, 7): {0: 7662, 4: 92338},
-    ("Category Twos", 2, 8): {0: 5354, 4: 94646},
+    ("Category Twos", 2, 3): {0: 33290, 2: 66710},
+    ("Category Twos", 2, 4): {0: 23136, 2: 76864},
+    ("Category Twos", 2, 5): {0: 16146, 2: 48200, 4: 35654},
+    ("Category Twos", 2, 6): {0: 11083, 2: 44497, 4: 44420},
+    ("Category Twos", 2, 7): {0: 7662, 2: 40343, 4: 51995},
+    ("Category Twos", 2, 8): {0: 5354, 2: 35526, 4: 59120},
     ("Category Twos", 3, 0): {0: 100000},
     ("Category Twos", 3, 1): {0: 58021, 2: 41979},
-    ("Category Twos", 3, 2): {0: 33548, 4: 66452},
-    ("Category Twos", 3, 3): {0: 19375, 4: 80625},
-    ("Category Twos", 3, 4): {0: 10998, 4: 89002},
-    ("Category Twos", 3, 5): {0: 6519, 6: 93481},
-    ("Category Twos", 3, 6): {0: 3619, 6: 96381},
-    ("Category Twos", 3, 7): {0: 2195, 6: 97805},
-    ("Category Twos", 3, 8): {0: 13675, 6: 86325},
+    ("Category Twos", 3, 2): {0: 33548, 2: 66452},
+    ("Category Twos", 3, 3): {0: 19375, 2: 42372, 4: 38253},
+    ("Category Twos", 3, 4): {0: 10998, 2: 36435, 4: 52567},
+    ("Category Twos", 3, 5): {0: 7954, 4: 92046},
+    ("Category Twos", 3, 6): {0: 347, 4: 99653},
+    ("Category Twos", 3, 7): {0: 2, 4: 62851, 6: 37147},
+    ("Category Twos", 3, 8): {6: 99476, 4: 524},
     ("Category Twos", 4, 0): {0: 100000},
     ("Category Twos", 4, 1): {0: 48235, 2: 51765},
-    ("Category Twos", 4, 2): {0: 23289, 4: 76711},
-    ("Category Twos", 4, 3): {0: 11177, 6: 88823},
-    ("Category Twos", 4, 4): {0: 5499, 6: 94501},
-    ("Category Twos", 4, 5): {0: 18356, 6: 81644},
-    ("Category Twos", 4, 6): {0: 11169, 8: 88831},
-    ("Category Twos", 4, 7): {0: 6945, 8: 93055},
-    ("Category Twos", 4, 8): {0: 4091, 8: 95909},
+    ("Category Twos", 4, 2): {0: 23289, 2: 40678, 4: 36033},
+    ("Category Twos", 4, 3): {0: 11177, 2: 32677, 4: 56146},
+    ("Category Twos", 4, 4): {0: 5522, 4: 60436, 6: 34042},
+    ("Category Twos", 4, 5): {0: 4358, 6: 95642},
+    ("Category Twos", 4, 6): {0: 20, 6: 99980},
+    ("Category Twos", 4, 7): {6: 100000},
+    ("Category Twos", 4, 8): {6: 65250, 8: 34750},
     ("Category Twos", 5, 0): {0: 100000},
-    ("Category Twos", 5, 1): {0: 40028, 4: 59972},
-    ("Category Twos", 5, 2): {0: 16009, 6: 83991},
-    ("Category Twos", 5, 3): {0: 6489, 6: 93511},
-    ("Category Twos", 5, 4): {0: 16690, 8: 83310},
-    ("Category Twos", 5, 5): {0: 9016, 8: 90984},
-    ("Category Twos", 5, 6): {0: 4602, 8: 95398},
-    ("Category Twos", 5, 7): {0: 13627, 10: 86373},
-    ("Category Twos", 5, 8): {0: 8742, 10: 91258},
+    ("Category Twos", 5, 1): {0: 40028, 2: 59972},
+    ("Category Twos", 5, 2): {0: 16009, 2: 35901, 4: 48090},
+    ("Category Twos", 5, 3): {0: 6820, 4: 57489, 6: 35691},
+    ("Category Twos", 5, 4): {0: 5285, 6: 94715},
+    ("Category Twos", 5, 5): {0: 18, 6: 66613, 8: 33369},
+    ("Category Twos", 5, 6): {8: 99073, 6: 927},
+    ("Category Twos", 5, 7): {8: 100000},
+    ("Category Twos", 5, 8): {8: 100000},
     ("Category Twos", 6, 0): {0: 100000},
-    ("Category Twos", 6, 1): {0: 33502, 4: 66498},
-    ("Category Twos", 6, 2): {0: 11210, 6: 88790},
-    ("Category Twos", 6, 3): {0: 3673, 6: 96327},
-    ("Category Twos", 6, 4): {0: 9291, 8: 90709},
-    ("Category Twos", 6, 5): {0: 441, 8: 99559},
-    ("Category Twos", 6, 6): {0: 10255, 10: 89745},
-    ("Category Twos", 6, 7): {0: 5646, 10: 94354},
-    ("Category Twos", 6, 8): {0: 14287, 12: 85713},
+    ("Category Twos", 6, 1): {0: 33502, 2: 66498},
+    ("Category Twos", 6, 2): {0: 13681, 4: 59162, 2: 27157},
+    ("Category Twos", 6, 3): {0: 5486, 6: 94514},
+    ("Category Twos", 6, 4): {0: 190, 6: 62108, 8: 37702},
+    ("Category Twos", 6, 5): {8: 99882, 6: 118},
+    ("Category Twos", 6, 6): {8: 65144, 10: 34856},
+    ("Category Twos", 6, 7): {10: 99524, 8: 476},
+    ("Category Twos", 6, 8): {10: 100000},
     ("Category Twos", 7, 0): {0: 100000},
-    ("Category Twos", 7, 1): {0: 27683, 4: 72317},
-    ("Category Twos", 7, 2): {0: 7824, 6: 92176},
-    ("Category Twos", 7, 3): {0: 13167, 8: 86833},
-    ("Category Twos", 7, 4): {0: 564, 10: 99436},
-    ("Category Twos", 7, 5): {0: 9824, 10: 90176},
-    ("Category Twos", 7, 6): {0: 702, 12: 99298},
-    ("Category Twos", 7, 7): {0: 10186, 12: 89814},
-    ("Category Twos", 7, 8): {0: 942, 12: 99058},
+    ("Category Twos", 7, 1): {0: 27683, 2: 39060, 4: 33257},
+    ("Category Twos", 7, 2): {0: 8683, 4: 54932, 6: 36385},
+    ("Category Twos", 7, 3): {0: 373, 6: 66572, 8: 33055},
+    ("Category Twos", 7, 4): {8: 99816, 6: 184},
+    ("Category Twos", 7, 5): {8: 58124, 10: 41876},
+    ("Category Twos", 7, 6): {10: 99948, 8: 52},
+    ("Category Twos", 7, 7): {10: 62549, 12: 37451},
+    ("Category Twos", 7, 8): {12: 99818, 10: 182},
     ("Category Twos", 8, 0): {0: 100000},
-    ("Category Twos", 8, 1): {0: 23378, 4: 76622},
-    ("Category Twos", 8, 2): {0: 5420, 8: 94580},
-    ("Category Twos", 8, 3): {0: 8560, 10: 91440},
-    ("Category Twos", 8, 4): {0: 12199, 12: 87801},
-    ("Category Twos", 8, 5): {0: 879, 12: 99121},
-    ("Category Twos", 8, 6): {0: 9033, 14: 90967},
-    ("Category Twos", 8, 7): {0: 15767, 14: 84233},
-    ("Category Twos", 8, 8): {2: 9033, 14: 90967},
+    ("Category Twos", 8, 1): {0: 23378, 2: 37157, 4: 39465},
+    ("Category Twos", 8, 2): {0: 5602, 6: 94398},
+    ("Category Twos", 8, 3): {0: 8, 6: 10911, 8: 89081},
+    ("Category Twos", 8, 4): {8: 59809, 10: 40191},
+    ("Category Twos", 8, 5): {10: 68808, 12: 31114, 8: 78},
+    ("Category Twos", 8, 6): {12: 98712, 10: 1287, 8: 1},
+    ("Category Twos", 8, 7): {12: 100000},
+    ("Category Twos", 8, 8): {12: 59018, 14: 40982},
     ("Category Threes", 0, 0): {0: 100000},
     ("Category Threes", 0, 1): {0: 100000},
     ("Category Threes", 0, 2): {0: 100000},
@@ -190,66 +182,66 @@ yacht_weights = {
     ("Category Threes", 2, 0): {0: 100000},
     ("Category Threes", 2, 1): {0: 69419, 3: 30581},
     ("Category Threes", 2, 2): {0: 48202, 3: 51798},
-    ("Category Threes", 2, 3): {0: 33376, 6: 66624},
-    ("Category Threes", 2, 4): {0: 23276, 6: 76724},
-    ("Category Threes", 2, 5): {0: 16092, 6: 83908},
-    ("Category Threes", 2, 6): {0: 11232, 6: 88768},
-    ("Category Threes", 2, 7): {0: 7589, 6: 92411},
-    ("Category Threes", 2, 8): {0: 5447, 6: 94553},
+    ("Category Threes", 2, 3): {0: 33376, 3: 66624},
+    ("Category Threes", 2, 4): {0: 23276, 3: 49810, 6: 26914},
+    ("Category Threes", 2, 5): {0: 16092, 3: 47718, 6: 36190},
+    ("Category Threes", 2, 6): {0: 11232, 3: 44515, 6: 44253},
+    ("Category Threes", 2, 7): {0: 7589, 3: 40459, 6: 51952},
+    ("Category Threes", 2, 8): {0: 5447, 3: 35804, 6: 58749},
     ("Category Threes", 3, 0): {0: 100000},
     ("Category Threes", 3, 1): {0: 57964, 3: 42036},
-    ("Category Threes", 3, 2): {0: 33637, 6: 66363},
-    ("Category Threes", 3, 3): {0: 19520, 6: 80480},
-    ("Category Threes", 3, 4): {0: 11265, 6: 88735},
-    ("Category Threes", 3, 5): {0: 6419, 6: 72177, 9: 21404},
-    ("Category Threes", 3, 6): {0: 3810, 6: 66884, 9: 29306},
-    ("Category Threes", 3, 7): {0: 2174, 6: 60595, 9: 37231},
-    ("Category Threes", 3, 8): {0: 1237, 6: 53693, 9: 45070},
+    ("Category Threes", 3, 2): {0: 33637, 3: 44263, 6: 22100},
+    ("Category Threes", 3, 3): {0: 19520, 3: 42382, 6: 38098},
+    ("Category Threes", 3, 4): {0: 11265, 3: 35772, 6: 52963},
+    ("Category Threes", 3, 5): {0: 6419, 3: 28916, 6: 43261, 9: 21404},
+    ("Category Threes", 3, 6): {0: 3810, 3: 22496, 6: 44388, 9: 29306},
+    ("Category Threes", 3, 7): {0: 1317, 6: 30047, 9: 68636},
+    ("Category Threes", 3, 8): {0: 750, 9: 99250},
     ("Category Threes", 4, 0): {0: 100000},
-    ("Category Threes", 4, 1): {0: 48121, 6: 51879},
-    ("Category Threes", 4, 2): {0: 23296, 6: 76704},
-    ("Category Threes", 4, 3): {0: 11233, 6: 68363, 9: 20404},
-    ("Category Threes", 4, 4): {0: 5463, 6: 60738, 9: 33799},
-    ("Category Threes", 4, 5): {0: 2691, 6: 50035, 12: 47274},
-    ("Category Threes", 4, 6): {0: 11267, 9: 88733},
-    ("Category Threes", 4, 7): {0: 6921, 9: 66034, 12: 27045},
-    ("Category Threes", 4, 8): {0: 4185, 9: 61079, 12: 34736},
+    ("Category Threes", 4, 1): {0: 48121, 3: 51879},
+    ("Category Threes", 4, 2): {0: 23296, 3: 40989, 6: 35715},
+    ("Category Threes", 4, 3): {0: 11233, 3: 32653, 6: 35710, 9: 20404},
+    ("Category Threes", 4, 4): {0: 5463, 3: 23270, 6: 37468, 9: 33799},
+    ("Category Threes", 4, 5): {0: 5225, 6: 29678, 9: 65097},
+    ("Category Threes", 4, 6): {0: 3535, 9: 96465},
+    ("Category Threes", 4, 7): {0: 6, 9: 72939, 12: 27055},
+    ("Category Threes", 4, 8): {9: 25326, 12: 74674},
     ("Category Threes", 5, 0): {0: 100000},
-    ("Category Threes", 5, 1): {0: 40183, 6: 59817},
-    ("Category Threes", 5, 2): {0: 16197, 6: 83803},
-    ("Category Threes", 5, 3): {0: 6583, 6: 57826, 9: 35591},
-    ("Category Threes", 5, 4): {0: 2636, 9: 76577, 12: 20787},
-    ("Category Threes", 5, 5): {0: 8879, 9: 57821, 12: 33300},
-    ("Category Threes", 5, 6): {0: 4652, 12: 95348},
-    ("Category Threes", 5, 7): {0: 2365, 12: 97635},
-    ("Category Threes", 5, 8): {0: 8671, 12: 64865, 15: 26464},
+    ("Category Threes", 5, 1): {0: 40183, 3: 59817},
+    ("Category Threes", 5, 2): {0: 16197, 3: 35494, 6: 48309},
+    ("Category Threes", 5, 3): {0: 6583, 3: 23394, 6: 34432, 9: 35591},
+    ("Category Threes", 5, 4): {0: 5007, 6: 25159, 9: 49038, 12: 20796},
+    ("Category Threes", 5, 5): {0: 2900, 9: 38935, 12: 58165},
+    ("Category Threes", 5, 6): {0: 2090, 12: 97910},
+    ("Category Threes", 5, 7): {12: 99994, 9: 6},
+    ("Category Threes", 5, 8): {12: 73524, 15: 26476},
     ("Category Threes", 6, 0): {0: 100000},
-    ("Category Threes", 6, 1): {0: 33473, 6: 66527},
-    ("Category Threes", 6, 2): {0: 11147, 6: 62222, 9: 26631},
-    ("Category Threes", 6, 3): {0: 3628, 9: 75348, 12: 21024},
-    ("Category Threes", 6, 4): {0: 9498, 9: 52940, 15: 37562},
-    ("Category Threes", 6, 5): {0: 4236, 12: 72944, 15: 22820},
-    ("Category Threes", 6, 6): {0: 10168, 12: 55072, 15: 34760},
-    ("Category Threes", 6, 7): {0: 5519, 15: 94481},
-    ("Category Threes", 6, 8): {0: 2968, 15: 76504, 18: 20528},
+    ("Category Threes", 6, 1): {0: 33473, 3: 40175, 6: 26352},
+    ("Category Threes", 6, 2): {0: 11147, 3: 29592, 6: 32630, 9: 26631},
+    ("Category Threes", 6, 3): {0: 2460, 6: 21148, 9: 55356, 12: 21036},
+    ("Category Threes", 6, 4): {0: 997, 9: 29741, 12: 69262},
+    ("Category Threes", 6, 5): {0: 831, 12: 76328, 15: 22841},
+    ("Category Threes", 6, 6): {12: 29960, 15: 70040},
+    ("Category Threes", 6, 7): {15: 100000},
+    ("Category Threes", 6, 8): {15: 79456, 18: 20544},
     ("Category Threes", 7, 0): {0: 100000},
-    ("Category Threes", 7, 1): {0: 27933, 6: 72067},
-    ("Category Threes", 7, 2): {0: 7794, 6: 55728, 12: 36478},
-    ("Category Threes", 7, 3): {0: 2138, 9: 64554, 15: 33308},
-    ("Category Threes", 7, 4): {0: 5238, 12: 69214, 15: 25548},
-    ("Category Threes", 7, 5): {0: 9894, 15: 90106},
-    ("Category Threes", 7, 6): {0: 4656, 15: 69353, 18: 25991},
-    ("Category Threes", 7, 7): {0: 10005, 15: 52430, 18: 37565},
-    ("Category Threes", 7, 8): {0: 5710, 18: 94290},
+    ("Category Threes", 7, 1): {0: 27933, 3: 39105, 6: 32962},
+    ("Category Threes", 7, 2): {0: 7794, 3: 23896, 6: 31832, 9: 36478},
+    ("Category Threes", 7, 3): {0: 1321, 9: 40251, 12: 58428},
+    ("Category Threes", 7, 4): {0: 370, 12: 74039, 15: 25591},
+    ("Category Threes", 7, 5): {0: 6, 15: 98660, 12: 1334},
+    ("Category Threes", 7, 6): {15: 73973, 18: 26027},
+    ("Category Threes", 7, 7): {18: 100000},
+    ("Category Threes", 7, 8): {18: 100000},
     ("Category Threes", 8, 0): {0: 100000},
-    ("Category Threes", 8, 1): {0: 23337, 6: 76663},
-    ("Category Threes", 8, 2): {0: 5310, 9: 74178, 12: 20512},
-    ("Category Threes", 8, 3): {0: 8656, 12: 70598, 15: 20746},
-    ("Category Threes", 8, 4): {0: 291, 12: 59487, 18: 40222},
-    ("Category Threes", 8, 5): {0: 5145, 15: 63787, 18: 31068},
-    ("Category Threes", 8, 6): {0: 8804, 18: 91196},
-    ("Category Threes", 8, 7): {0: 4347, 18: 65663, 21: 29990},
-    ("Category Threes", 8, 8): {0: 9252, 21: 90748},
+    ("Category Threes", 8, 1): {0: 23337, 3: 37232, 6: 39431},
+    ("Category Threes", 8, 2): {0: 4652, 6: 29310, 9: 45517, 12: 20521},
+    ("Category Threes", 8, 3): {0: 1300, 12: 77919, 15: 20781},
+    ("Category Threes", 8, 4): {0: 21, 15: 98678, 12: 1301},
+    ("Category Threes", 8, 5): {15: 68893, 18: 31107},
+    ("Category Threes", 8, 6): {18: 100000},
+    ("Category Threes", 8, 7): {18: 69986, 21: 30014},
+    ("Category Threes", 8, 8): {21: 98839, 18: 1161},
     ("Category Fours", 0, 0): {0: 100000},
     ("Category Fours", 0, 1): {0: 100000},
     ("Category Fours", 0, 2): {0: 100000},
@@ -276,61 +268,61 @@ yacht_weights = {
     ("Category Fours", 2, 5): {0: 16222, 4: 48009, 8: 35769},
     ("Category Fours", 2, 6): {0: 11125, 4: 44400, 8: 44475},
     ("Category Fours", 2, 7): {0: 7919, 4: 40216, 8: 51865},
-    ("Category Fours", 2, 8): {0: 5348, 8: 94652},
+    ("Category Fours", 2, 8): {0: 5348, 4: 35757, 8: 58895},
     ("Category Fours", 3, 0): {0: 100000},
     ("Category Fours", 3, 1): {0: 57914, 4: 42086},
     ("Category Fours", 3, 2): {0: 33621, 4: 44110, 8: 22269},
     ("Category Fours", 3, 3): {0: 19153, 4: 42425, 8: 38422},
-    ("Category Fours", 3, 4): {0: 11125, 8: 88875},
-    ("Category Fours", 3, 5): {0: 6367, 8: 72308, 12: 21325},
-    ("Category Fours", 3, 6): {0: 3643, 8: 66934, 12: 29423},
-    ("Category Fours", 3, 7): {0: 2178, 8: 60077, 12: 37745},
-    ("Category Fours", 3, 8): {0: 1255, 8: 53433, 12: 45312},
+    ("Category Fours", 3, 4): {0: 11125, 4: 36011, 8: 52864},
+    ("Category Fours", 3, 5): {0: 6367, 4: 29116, 8: 43192, 12: 21325},
+    ("Category Fours", 3, 6): {0: 3643, 4: 22457, 8: 44477, 12: 29423},
+    ("Category Fours", 3, 7): {0: 2178, 4: 16802, 8: 43275, 12: 37745},
+    ("Category Fours", 3, 8): {0: 488, 8: 20703, 12: 78809},
     ("Category Fours", 4, 0): {0: 100000},
     ("Category Fours", 4, 1): {0: 48465, 4: 51535},
-    ("Category Fours", 4, 2): {0: 23296, 4: 40911, 12: 35793},
-    ("Category Fours", 4, 3): {0: 11200, 8: 68528, 12: 20272},
-    ("Category Fours", 4, 4): {0: 5447, 8: 60507, 12: 34046},
-    ("Category Fours", 4, 5): {0: 2533, 8: 50449, 16: 47018},
-    ("Category Fours", 4, 6): {0: 1314, 8: 39851, 12: 39425, 16: 19410},
-    ("Category Fours", 4, 7): {0: 6823, 12: 66167, 16: 27010},
-    ("Category Fours", 4, 8): {0: 4189, 12: 61034, 16: 34777},
+    ("Category Fours", 4, 2): {0: 23296, 4: 40911, 8: 35793},
+    ("Category Fours", 4, 3): {0: 11200, 4: 33191, 8: 35337, 12: 20272},
+    ("Category Fours", 4, 4): {0: 5447, 4: 23066, 8: 37441, 12: 34046},
+    ("Category Fours", 4, 5): {0: 2533, 4: 15668, 8: 34781, 12: 47018},
+    ("Category Fours", 4, 6): {0: 2058, 8: 19749, 12: 58777, 16: 19416},
+    ("Category Fours", 4, 7): {0: 1476, 12: 45913, 16: 52611},
+    ("Category Fours", 4, 8): {0: 23, 12: 18149, 16: 81828},
     ("Category Fours", 5, 0): {0: 100000},
     ("Category Fours", 5, 1): {0: 40215, 4: 40127, 8: 19658},
-    ("Category Fours", 5, 2): {0: 15946, 8: 66737, 12: 17317},
-    ("Category Fours", 5, 3): {0: 6479, 8: 58280, 16: 35241},
-    ("Category Fours", 5, 4): {0: 2635, 8: 43968, 16: 53397},
-    ("Category Fours", 5, 5): {0: 8916, 12: 57586, 16: 33498},
-    ("Category Fours", 5, 6): {0: 4682, 12: 49435, 20: 45883},
-    ("Category Fours", 5, 7): {0: 2291, 12: 40537, 16: 37701, 20: 19471},
-    ("Category Fours", 5, 8): {0: 75, 16: 73483, 20: 26442},
+    ("Category Fours", 5, 2): {0: 15946, 4: 35579, 8: 31158, 12: 17317},
+    ("Category Fours", 5, 3): {0: 6479, 4: 23705, 8: 34575, 12: 35241},
+    ("Category Fours", 5, 4): {0: 4987, 8: 25190, 12: 48849, 16: 20974},
+    ("Category Fours", 5, 5): {0: 1553, 12: 39966, 16: 58481},
+    ("Category Fours", 5, 6): {0: 843, 16: 99157},
+    ("Category Fours", 5, 7): {16: 80514, 20: 19486},
+    ("Category Fours", 5, 8): {16: 38393, 20: 61607},
     ("Category Fours", 6, 0): {0: 100000},
     ("Category Fours", 6, 1): {0: 33632, 4: 39856, 8: 26512},
-    ("Category Fours", 6, 2): {0: 11175, 8: 62205, 12: 26620},
-    ("Category Fours", 6, 3): {0: 3698, 8: 46268, 16: 50034},
-    ("Category Fours", 6, 4): {0: 9173, 12: 52855, 20: 37972},
-    ("Category Fours", 6, 5): {0: 4254, 12: 41626, 20: 54120},
-    ("Category Fours", 6, 6): {0: 1783, 16: 63190, 24: 35027},
-    ("Category Fours", 6, 7): {0: 5456, 16: 47775, 24: 46769},
-    ("Category Fours", 6, 8): {0: 2881, 16: 39229, 24: 57890},
+    ("Category Fours", 6, 2): {0: 11175, 4: 29824, 8: 32381, 12: 26620},
+    ("Category Fours", 6, 3): {0: 3698, 4: 16329, 8: 29939, 12: 29071, 16: 20963},
+    ("Category Fours", 6, 4): {0: 2326, 12: 28286, 16: 69388},
+    ("Category Fours", 6, 5): {0: 1030, 16: 76056, 20: 22914},
+    ("Category Fours", 6, 6): {0: 7, 16: 29753, 20: 70240},
+    ("Category Fours", 6, 7): {20: 99999, 16: 1},
+    ("Category Fours", 6, 8): {20: 79470, 24: 20530},
     ("Category Fours", 7, 0): {0: 100000},
-    ("Category Fours", 7, 1): {0: 27821, 4: 39289, 12: 32890},
-    ("Category Fours", 7, 2): {0: 7950, 8: 55659, 16: 36391},
-    ("Category Fours", 7, 3): {0: 2194, 12: 64671, 20: 33135},
-    ("Category Fours", 7, 4): {0: 5063, 12: 41118, 20: 53819},
-    ("Category Fours", 7, 5): {0: 171, 16: 57977, 24: 41852},
-    ("Category Fours", 7, 6): {0: 4575, 16: 38694, 24: 56731},
-    ("Category Fours", 7, 7): {0: 252, 20: 62191, 28: 37557},
-    ("Category Fours", 7, 8): {4: 5576, 20: 45351, 28: 49073},
+    ("Category Fours", 7, 1): {0: 27821, 4: 39289, 8: 32890},
+    ("Category Fours", 7, 2): {0: 7950, 4: 24026, 8: 31633, 12: 36391},
+    ("Category Fours", 7, 3): {0: 1887, 12: 31108, 16: 67005},
+    ("Category Fours", 7, 4): {0: 423, 16: 73837, 20: 25740},
+    ("Category Fours", 7, 5): {0: 57, 16: 10063, 20: 74092, 24: 15788},
+    ("Category Fours", 7, 6): {0: 6, 20: 31342, 24: 68652},
+    ("Category Fours", 7, 7): {24: 99995, 20: 5},
+    ("Category Fours", 7, 8): {24: 84330, 28: 15670},
     ("Category Fours", 8, 0): {0: 100000},
-    ("Category Fours", 8, 1): {0: 23275, 8: 76725},
-    ("Category Fours", 8, 2): {0: 5421, 8: 48273, 16: 46306},
-    ("Category Fours", 8, 3): {0: 8626, 12: 45516, 20: 45858},
-    ("Category Fours", 8, 4): {0: 2852, 16: 56608, 24: 40540},
-    ("Category Fours", 8, 5): {0: 5049, 20: 63834, 28: 31117},
-    ("Category Fours", 8, 6): {0: 269, 20: 53357, 28: 46374},
-    ("Category Fours", 8, 7): {0: 4394, 24: 65785, 28: 29821},
-    ("Category Fours", 8, 8): {0: 266, 24: 58443, 32: 41291},
+    ("Category Fours", 8, 1): {0: 23275, 4: 37161, 8: 39564},
+    ("Category Fours", 8, 2): {0: 5421, 4: 19014, 8: 29259, 12: 25812, 16: 20494},
+    ("Category Fours", 8, 3): {0: 649, 16: 78572, 20: 20779},
+    ("Category Fours", 8, 4): {0: 15, 20: 80772, 24: 17355, 16: 1858},
+    ("Category Fours", 8, 5): {20: 15615, 24: 84385},
+    ("Category Fours", 8, 6): {24: 80655, 28: 19345},
+    ("Category Fours", 8, 7): {24: 23969, 28: 76031},
+    ("Category Fours", 8, 8): {28: 100000},
     ("Category Fives", 0, 0): {0: 100000},
     ("Category Fives", 0, 1): {0: 100000},
     ("Category Fives", 0, 2): {0: 100000},
@@ -363,55 +355,55 @@ yacht_weights = {
     ("Category Fives", 3, 2): {0: 33466, 5: 44227, 10: 22307},
     ("Category Fives", 3, 3): {0: 19231, 5: 42483, 10: 38286},
     ("Category Fives", 3, 4): {0: 11196, 5: 36192, 10: 38673, 15: 13939},
-    ("Category Fives", 3, 5): {0: 6561, 10: 72177, 15: 21262},
-    ("Category Fives", 3, 6): {0: 3719, 10: 66792, 15: 29489},
-    ("Category Fives", 3, 7): {0: 2099, 10: 60283, 15: 37618},
-    ("Category Fives", 3, 8): {0: 1281, 10: 53409, 15: 45310},
+    ("Category Fives", 3, 5): {0: 6561, 5: 29163, 10: 43014, 15: 21262},
+    ("Category Fives", 3, 6): {0: 3719, 5: 22181, 10: 44611, 15: 29489},
+    ("Category Fives", 3, 7): {0: 2099, 5: 16817, 10: 43466, 15: 37618},
+    ("Category Fives", 3, 8): {0: 1281, 5: 12473, 10: 40936, 15: 45310},
     ("Category Fives", 4, 0): {0: 100000},
     ("Category Fives", 4, 1): {0: 48377, 5: 38345, 10: 13278},
-    ("Category Fives", 4, 2): {0: 23126, 5: 40940, 15: 35934},
+    ("Category Fives", 4, 2): {0: 23126, 5: 40940, 10: 35934},
     ("Category Fives", 4, 3): {0: 11192, 5: 32597, 10: 35753, 15: 20458},
-    ("Category Fives", 4, 4): {0: 5362, 10: 60452, 20: 34186},
-    ("Category Fives", 4, 5): {0: 2655, 10: 50264, 15: 34186, 20: 12895},
-    ("Category Fives", 4, 6): {0: 1291, 10: 39792, 15: 39417, 20: 19500},
-    ("Category Fives", 4, 7): {0: 6854, 15: 66139, 20: 27007},
-    ("Category Fives", 4, 8): {0: 4150, 15: 61121, 20: 34729},
+    ("Category Fives", 4, 4): {0: 5362, 5: 23073, 10: 37379, 15: 34186},
+    ("Category Fives", 4, 5): {0: 2655, 5: 15662, 10: 34602, 15: 34186, 20: 12895},
+    ("Category Fives", 4, 6): {0: 2059, 10: 19678, 15: 48376, 20: 29887},
+    ("Category Fives", 4, 7): {0: 1473, 15: 34402, 20: 64125},
+    ("Category Fives", 4, 8): {0: 551, 20: 99449},
     ("Category Fives", 5, 0): {0: 100000},
     ("Category Fives", 5, 1): {0: 39911, 5: 40561, 10: 19528},
     ("Category Fives", 5, 2): {0: 16178, 5: 35517, 10: 31246, 15: 17059},
-    ("Category Fives", 5, 3): {0: 6526, 10: 58146, 20: 35328},
-    ("Category Fives", 5, 4): {0: 2615, 10: 44108, 15: 32247, 20: 21030},
-    ("Category Fives", 5, 5): {0: 1063, 10: 31079, 15: 34489, 25: 33369},
-    ("Category Fives", 5, 6): {0: 4520, 15: 49551, 20: 32891, 25: 13038},
-    ("Category Fives", 5, 7): {0: 2370, 15: 40714, 20: 37778, 25: 19138},
-    ("Category Fives", 5, 8): {0: 1179, 15: 31909, 20: 40615, 25: 26297},
+    ("Category Fives", 5, 3): {0: 6526, 5: 23716, 10: 34430, 15: 35328},
+    ("Category Fives", 5, 4): {0: 2615, 5: 13975, 10: 30133, 15: 32247, 20: 21030},
+    ("Category Fives", 5, 5): {0: 1482, 10: 13532, 15: 37597, 20: 47389},
+    ("Category Fives", 5, 6): {0: 477, 15: 14484, 20: 71985, 25: 13054},
+    ("Category Fives", 5, 7): {0: 273, 20: 52865, 25: 46862},
+    ("Category Fives", 5, 8): {20: 16822, 25: 83178},
     ("Category Fives", 6, 0): {0: 100000},
     ("Category Fives", 6, 1): {0: 33476, 5: 40167, 10: 26357},
-    ("Category Fives", 6, 2): {0: 11322, 10: 62277, 20: 26401},
-    ("Category Fives", 6, 3): {0: 3765, 10: 46058, 20: 50177},
-    ("Category Fives", 6, 4): {0: 1201, 15: 60973, 25: 37826},
-    ("Category Fives", 6, 5): {0: 4307, 15: 41966, 20: 30800, 25: 22927},
-    ("Category Fives", 6, 6): {0: 1827, 15: 30580, 20: 32744, 30: 34849},
-    ("Category Fives", 6, 7): {0: 5496, 20: 47569, 25: 32784, 30: 14151},
-    ("Category Fives", 6, 8): {0: 2920, 20: 39283, 25: 37178, 30: 20619},
+    ("Category Fives", 6, 2): {0: 11322, 5: 29613, 10: 32664, 15: 26401},
+    ("Category Fives", 6, 3): {0: 3765, 5: 16288, 10: 29770, 15: 29233, 20: 20944},
+    ("Category Fives", 6, 4): {0: 1889, 10: 13525, 15: 33731, 20: 38179, 25: 12676},
+    ("Category Fives", 6, 5): {0: 53, 10: 11118, 20: 47588, 25: 41241},
+    ("Category Fives", 6, 6): {0: 10, 20: 8876, 25: 91114},
+    ("Category Fives", 6, 7): {0: 7, 25: 85815, 30: 14178},
+    ("Category Fives", 6, 8): {25: 43072, 30: 56928},
     ("Category Fives", 7, 0): {0: 100000},
-    ("Category Fives", 7, 1): {0: 27826, 5: 39154, 15: 33020},
-    ("Category Fives", 7, 2): {0: 7609, 10: 55915, 20: 36476},
-    ("Category Fives", 7, 3): {0: 2262, 10: 35456, 20: 62282},
-    ("Category Fives", 7, 4): {0: 5201, 15: 40920, 25: 53879},
-    ("Category Fives", 7, 5): {0: 1890, 20: 56509, 30: 41601},
-    ("Category Fives", 7, 6): {0: 4506, 20: 38614, 25: 30456, 30: 26424},
-    ("Category Fives", 7, 7): {0: 2107, 25: 60445, 35: 37448},
-    ("Category Fives", 7, 8): {0: 5627, 25: 45590, 30: 33015, 35: 15768},
+    ("Category Fives", 7, 1): {0: 27826, 5: 39154, 10: 33020},
+    ("Category Fives", 7, 2): {0: 7609, 5: 24193, 10: 31722, 15: 23214, 20: 13262},
+    ("Category Fives", 7, 3): {0: 1879, 15: 23021, 20: 75100},
+    ("Category Fives", 7, 4): {0: 345, 20: 64636, 25: 35019},
+    ("Category Fives", 7, 5): {0: 40, 20: 7522, 25: 76792, 30: 15646},
+    ("Category Fives", 7, 6): {0: 8, 25: 26517, 30: 73475},
+    ("Category Fives", 7, 7): {0: 2, 30: 99998},
+    ("Category Fives", 7, 8): {30: 84211, 35: 15789},
     ("Category Fives", 8, 0): {0: 100000},
-    ("Category Fives", 8, 1): {0: 23333, 5: 37259, 15: 39408},
-    ("Category Fives", 8, 2): {0: 5425, 10: 48295, 20: 46280},
-    ("Category Fives", 8, 3): {0: 1258, 15: 53475, 25: 45267},
-    ("Category Fives", 8, 4): {0: 2752, 20: 56808, 30: 40440},
-    ("Category Fives", 8, 5): {0: 5203, 20: 35571, 30: 59226},
-    ("Category Fives", 8, 6): {0: 1970, 25: 51621, 35: 46409},
-    ("Category Fives", 8, 7): {0: 4281, 25: 35146, 30: 30426, 40: 30147},
-    ("Category Fives", 8, 8): {0: 2040, 30: 56946, 40: 41014},
+    ("Category Fives", 8, 1): {0: 23333, 5: 37259, 10: 25947, 15: 13461},
+    ("Category Fives", 8, 2): {0: 5425, 5: 18915, 10: 29380, 15: 25994, 20: 20286},
+    ("Category Fives", 8, 3): {0: 495, 20: 78726, 25: 20779},
+    ("Category Fives", 8, 4): {20: 12998, 25: 70085, 30: 16917},
+    ("Category Fives", 8, 5): {25: 15859, 30: 84141},
+    ("Category Fives", 8, 6): {30: 80722, 35: 19278},
+    ("Category Fives", 8, 7): {30: 23955, 35: 76045},
+    ("Category Fives", 8, 8): {35: 100000},
     ("Category Sixes", 0, 0): {0: 100000},
     ("Category Sixes", 0, 1): {0: 100000},
     ("Category Sixes", 0, 2): {0: 100000},
@@ -445,54 +437,54 @@ yacht_weights = {
     ("Category Sixes", 3, 3): {0: 19366, 6: 42246, 12: 38388},
     ("Category Sixes", 3, 4): {0: 11144, 6: 36281, 12: 38817, 18: 13758},
     ("Category Sixes", 3, 5): {0: 6414, 6: 28891, 12: 43114, 18: 21581},
-    ("Category Sixes", 3, 6): {0: 3870, 12: 66712, 18: 29418},
-    ("Category Sixes", 3, 7): {0: 2188, 12: 60290, 18: 37522},
-    ("Category Sixes", 3, 8): {0: 1289, 12: 53503, 18: 45208},
+    ("Category Sixes", 3, 6): {0: 3870, 6: 22394, 12: 44318, 18: 29418},
+    ("Category Sixes", 3, 7): {0: 2188, 6: 16803, 12: 43487, 18: 37522},
+    ("Category Sixes", 3, 8): {0: 1289, 6: 12421, 12: 41082, 18: 45208},
     ("Category Sixes", 4, 0): {0: 100000},
     ("Category Sixes", 4, 1): {0: 48197, 6: 38521, 12: 13282},
     ("Category Sixes", 4, 2): {0: 23155, 6: 41179, 12: 35666},
     ("Category Sixes", 4, 3): {0: 11256, 6: 32609, 12: 35588, 18: 20547},
-    ("Category Sixes", 4, 4): {0: 5324, 12: 60474, 18: 34202},
-    ("Category Sixes", 4, 5): {0: 2658, 12: 50173, 18: 34476, 24: 12693},
-    ("Category Sixes", 4, 6): {0: 1282, 12: 39852, 18: 39379, 24: 19487},
-    ("Category Sixes", 4, 7): {0: 588, 12: 30598, 18: 41935, 24: 26879},
-    ("Category Sixes", 4, 8): {0: 4180, 18: 61222, 24: 34598},
+    ("Category Sixes", 4, 4): {0: 5324, 6: 23265, 12: 37209, 18: 34202},
+    ("Category Sixes", 4, 5): {0: 2658, 6: 15488, 12: 34685, 18: 34476, 24: 12693},
+    ("Category Sixes", 4, 6): {0: 2045, 12: 19683, 18: 48559, 24: 29713},
+    ("Category Sixes", 4, 7): {0: 1470, 18: 34646, 24: 63884},
+    ("Category Sixes", 4, 8): {0: 22, 18: 12111, 24: 87867},
     ("Category Sixes", 5, 0): {0: 100000},
     ("Category Sixes", 5, 1): {0: 40393, 6: 39904, 12: 19703},
     ("Category Sixes", 5, 2): {0: 16202, 6: 35664, 12: 31241, 18: 16893},
-    ("Category Sixes", 5, 3): {0: 6456, 12: 58124, 18: 25020, 24: 10400},
-    ("Category Sixes", 5, 4): {0: 2581, 12: 44335, 18: 32198, 24: 20886},
-    ("Category Sixes", 5, 5): {0: 1119, 12: 30838, 18: 34716, 24: 33327},
-    ("Category Sixes", 5, 6): {0: 4563, 18: 49516, 24: 32829, 30: 13092},
-    ("Category Sixes", 5, 7): {0: 2315, 18: 40699, 24: 37560, 30: 19426},
-    ("Category Sixes", 5, 8): {0: 1246, 18: 31964, 24: 40134, 30: 26656},
+    ("Category Sixes", 5, 3): {0: 6456, 6: 23539, 12: 34585, 18: 25020, 24: 10400},
+    ("Category Sixes", 5, 4): {0: 2581, 6: 13980, 12: 30355, 18: 32198, 24: 20886},
+    ("Category Sixes", 5, 5): {0: 1472, 12: 13518, 18: 37752, 24: 47258},
+    ("Category Sixes", 5, 6): {0: 476, 18: 14559, 24: 71856, 30: 13109},
+    ("Category Sixes", 5, 7): {0: 275, 24: 52573, 30: 47152},
+    ("Category Sixes", 5, 8): {24: 16500, 30: 83500},
     ("Category Sixes", 6, 0): {0: 100000},
-    ("Category Sixes", 6, 1): {0: 33316, 6: 40218, 18: 26466},
-    ("Category Sixes", 6, 2): {0: 11256, 6: 29444, 12: 32590, 24: 26710},
-    ("Category Sixes", 6, 3): {0: 3787, 12: 46139, 18: 29107, 24: 20967},
-    ("Category Sixes", 6, 4): {0: 1286, 12: 29719, 18: 31264, 24: 25039, 30: 12692},
-    ("Category Sixes", 6, 5): {0: 4190, 18: 41667, 24: 30919, 30: 23224},
-    ("Category Sixes", 6, 6): {0: 1804, 18: 30702, 24: 32923, 30: 34571},
-    ("Category Sixes", 6, 7): {0: 51, 24: 53324, 30: 32487, 36: 14138},
-    ("Category Sixes", 6, 8): {0: 2886, 24: 39510, 30: 37212, 36: 20392},
+    ("Category Sixes", 6, 1): {0: 33316, 6: 40218, 12: 26466},
+    ("Category Sixes", 6, 2): {0: 11256, 6: 29444, 12: 32590, 18: 26710},
+    ("Category Sixes", 6, 3): {0: 3787, 6: 16266, 12: 29873, 18: 29107, 24: 20967},
+    ("Category Sixes", 6, 4): {0: 1875, 12: 13602, 18: 33731, 24: 38090, 30: 12702},
+    ("Category Sixes", 6, 5): {0: 433, 18: 10665, 24: 47398, 30: 41504},
+    ("Category Sixes", 6, 6): {0: 89, 24: 14905, 30: 85006},
+    ("Category Sixes", 6, 7): {0: 19, 30: 85816, 36: 14165},
+    ("Category Sixes", 6, 8): {30: 43219, 36: 56781},
     ("Category Sixes", 7, 0): {0: 100000},
-    ("Category Sixes", 7, 1): {0: 27852, 6: 38984, 18: 33164},
-    ("Category Sixes", 7, 2): {0: 7883, 12: 55404, 24: 36713},
-    ("Category Sixes", 7, 3): {0: 2186, 12: 35249, 18: 29650, 30: 32915},
-    ("Category Sixes", 7, 4): {0: 5062, 18: 40976, 24: 28335, 36: 25627},
-    ("Category Sixes", 7, 5): {0: 1947, 18: 27260, 24: 29254, 30: 25790, 36: 15749},
-    ("Category Sixes", 7, 6): {0: 4568, 24: 38799, 30: 30698, 42: 25935},
-    ("Category Sixes", 7, 7): {0: 2081, 24: 28590, 30: 31709, 36: 37620},
-    ("Category Sixes", 7, 8): {0: 73, 30: 51135, 36: 33183, 42: 15609},
+    ("Category Sixes", 7, 1): {0: 27852, 6: 38984, 12: 33164},
+    ("Category Sixes", 7, 2): {0: 7883, 6: 23846, 12: 31558, 18: 23295, 24: 13418},
+    ("Category Sixes", 7, 3): {0: 2186, 6: 10928, 12: 24321, 18: 29650, 24: 21177, 30: 11738},
+    ("Category Sixes", 7, 4): {0: 1034, 18: 12857, 24: 37227, 30: 48882},
+    ("Category Sixes", 7, 5): {0: 300, 30: 83887, 36: 15813},
+    ("Category Sixes", 7, 6): {30: 31359, 36: 68641},
+    ("Category Sixes", 7, 7): {36: 89879, 42: 10121},
+    ("Category Sixes", 7, 8): {36: 49549, 42: 50451},
     ("Category Sixes", 8, 0): {0: 100000},
     ("Category Sixes", 8, 1): {0: 23220, 6: 37213, 12: 25961, 18: 13606},
-    ("Category Sixes", 8, 2): {0: 5280, 12: 48607, 18: 25777, 30: 20336},
-    ("Category Sixes", 8, 3): {0: 1246, 12: 25869, 18: 27277, 30: 45608},
-    ("Category Sixes", 8, 4): {0: 2761, 18: 29831, 24: 27146, 36: 40262},
-    ("Category Sixes", 8, 5): {0: 5100, 24: 35948, 30: 27655, 42: 31297},
-    ("Category Sixes", 8, 6): {0: 2067, 30: 51586, 36: 27024, 42: 19323},
-    ("Category Sixes", 8, 7): {0: 4269, 30: 35032, 36: 30772, 48: 29927},
-    ("Category Sixes", 8, 8): {6: 2012, 30: 25871, 36: 31116, 42: 28870, 48: 12131},
+    ("Category Sixes", 8, 2): {0: 5280, 6: 18943, 12: 29664, 18: 25777, 24: 20336},
+    ("Category Sixes", 8, 3): {0: 2024, 12: 12586, 18: 28717, 24: 35860, 30: 20813},
+    ("Category Sixes", 8, 4): {0: 175, 24: 10907, 30: 72017, 36: 16901},
+    ("Category Sixes", 8, 5): {0: 1, 30: 23224, 36: 66215, 42: 10560},
+    ("Category Sixes", 8, 6): {36: 29563, 42: 70437},
+    ("Category Sixes", 8, 7): {42: 99990, 36: 10},
+    ("Category Sixes", 8, 8): {42: 87843, 48: 12157},
     ("Category Choice", 0, 0): {0: 100000},
     ("Category Choice", 0, 1): {0: 100000},
     ("Category Choice", 0, 2): {0: 100000},
@@ -503,77 +495,77 @@ yacht_weights = {
     ("Category Choice", 0, 7): {0: 100000},
     ("Category Choice", 0, 8): {0: 100000},
     ("Category Choice", 1, 0): {0: 100000},
-    ("Category Choice", 1, 1): {1: 33315, 5: 66685},
-    ("Category Choice", 1, 2): {1: 10921, 5: 89079},
-    ("Category Choice", 1, 3): {1: 27995, 6: 72005},
-    ("Category Choice", 1, 4): {1: 15490, 6: 84510},
-    ("Category Choice", 1, 5): {1: 6390, 6: 93610},
-    ("Category Choice", 1, 6): {1: 34656, 6: 65344},
-    ("Category Choice", 1, 7): {1: 28829, 6: 71171},
-    ("Category Choice", 1, 8): {1: 23996, 6: 76004},
+    ("Category Choice", 1, 1): {1: 33315, 3: 66685},
+    ("Category Choice", 1, 2): {1: 32981, 4: 67019},
+    ("Category Choice", 1, 3): {1: 12312, 4: 25020, 5: 62668},
+    ("Category Choice", 1, 4): {1: 11564, 5: 88436},
+    ("Category Choice", 1, 5): {1: 2956, 5: 97044},
+    ("Category Choice", 1, 6): {4: 1024, 6: 65357, 5: 33619},
+    ("Category Choice", 1, 7): {6: 100000},
+    ("Category Choice", 1, 8): {6: 100000},
     ("Category Choice", 2, 0): {0: 100000},
-    ("Category Choice", 2, 1): {2: 16796, 8: 83204},
-    ("Category Choice", 2, 2): {2: 22212, 10: 77788},
-    ("Category Choice", 2, 3): {2: 29002, 11: 70998},
-    ("Category Choice", 2, 4): {2: 22485, 11: 77515},
-    ("Category Choice", 2, 5): {2: 28019, 12: 71981},
-    ("Category Choice", 2, 6): {2: 23193, 12: 76807},
-    ("Category Choice", 2, 7): {2: 11255, 8: 38369, 12: 50376},
-    ("Category Choice", 2, 8): {2: 9297, 12: 90703},
+    ("Category Choice", 2, 1): {2: 27810, 6: 72190},
+    ("Category Choice", 2, 2): {2: 10285, 6: 26698, 8: 63017},
+    ("Category Choice", 2, 3): {2: 3965, 8: 96035},
+    ("Category Choice", 2, 4): {2: 143, 8: 33731, 9: 66126},
+    ("Category Choice", 2, 5): {8: 12687, 10: 62544, 9: 24769},
+    ("Category Choice", 2, 6): {10: 100000},
+    ("Category Choice", 2, 7): {11: 66194, 10: 33806},
+    ("Category Choice", 2, 8): {11: 100000},
     ("Category Choice", 3, 0): {0: 100000},
-    ("Category Choice", 3, 1): {3: 25983, 12: 74017},
-    ("Category Choice", 3, 2): {3: 24419, 14: 75581},
-    ("Category Choice", 3, 3): {3: 24466, 15: 75534},
-    ("Category Choice", 3, 4): {3: 25866, 16: 74134},
-    ("Category Choice", 3, 5): {3: 30994, 17: 69006},
-    ("Category Choice", 3, 6): {3: 13523, 13: 41606, 17: 44871},
-    ("Category Choice", 3, 7): {3: 28667, 18: 71333},
-    ("Category Choice", 3, 8): {3: 23852, 18: 76148},
+    ("Category Choice", 3, 1): {3: 10461, 6: 27156, 10: 62383},
+    ("Category Choice", 3, 2): {3: 3586, 6: 31281, 12: 65133},
+    ("Category Choice", 3, 3): {3: 1491, 12: 33737, 13: 64772},
+    ("Category Choice", 3, 4): {12: 13802, 14: 60820, 13: 25378},
+    ("Category Choice", 3, 5): {14: 99999, 13: 1},
+    ("Category Choice", 3, 6): {15: 64851, 14: 35149},
+    ("Category Choice", 3, 7): {16: 62341, 15: 24422, 14: 13237},
+    ("Category Choice", 3, 8): {16: 100000},
     ("Category Choice", 4, 0): {0: 100000},
-    ("Category Choice", 4, 1): {4: 1125, 7: 32443, 16: 66432},
-    ("Category Choice", 4, 2): {4: 18156, 14: 39494, 18: 42350},
-    ("Category Choice", 4, 3): {4: 538, 9: 32084, 20: 67378},
-    ("Category Choice", 4, 4): {4: 30873, 21: 69127},
-    ("Category Choice", 4, 5): {4: 31056, 22: 68944},
-    ("Category Choice", 4, 6): {4: 22939, 19: 43956, 23: 33105},
-    ("Category Choice", 4, 7): {5: 16935, 19: 41836, 23: 41229},
-    ("Category Choice", 4, 8): {5: 31948, 24: 68052},
+    ("Category Choice", 4, 1): {4: 4748, 10: 28815, 13: 66437},
+    ("Category Choice", 4, 2): {12: 12006, 16: 64226, 13: 23768},
+    ("Category Choice", 4, 3): {16: 32567, 17: 67433},
+    ("Category Choice", 4, 4): {16: 30845, 18: 69155},
+    ("Category Choice", 4, 5): {16: 9568, 19: 68981, 18: 21451},
+    ("Category Choice", 4, 6): {18: 10841, 20: 65051, 19: 24108},
+    ("Category Choice", 4, 7): {18: 4198, 21: 61270, 20: 25195, 19: 9337},
+    ("Category Choice", 4, 8): {21: 99999, 20: 1},
     ("Category Choice", 5, 0): {0: 100000},
-    ("Category Choice", 5, 1): {5: 21998, 15: 38001, 19: 40001},
-    ("Category Choice", 5, 2): {5: 26627, 19: 38217, 23: 35156},
-    ("Category Choice", 5, 3): {6: 22251, 24: 77749},
-    ("Category Choice", 5, 4): {5: 27098, 22: 39632, 26: 33270},
-    ("Category Choice", 5, 5): {6: 1166, 16: 32131, 27: 66703},
-    ("Category Choice", 5, 6): {7: 1177, 17: 32221, 28: 66602},
-    ("Category Choice", 5, 7): {8: 25048, 25: 42590, 29: 32362},
-    ("Category Choice", 5, 8): {9: 18270, 25: 41089, 29: 40641},
+    ("Category Choice", 5, 1): {5: 4485, 13: 35340, 17: 60175},
+    ("Category Choice", 5, 2): {16: 35286, 20: 64714},
+    ("Category Choice", 5, 3): {20: 39254, 22: 60746},
+    ("Category Choice", 5, 4): {20: 35320, 23: 64680},
+    ("Category Choice", 5, 5): {22: 33253, 24: 66747},
+    ("Category Choice", 5, 6): {22: 11089, 25: 66653, 24: 22258},
+    ("Category Choice", 5, 7): {24: 12216, 26: 63214, 22: 50, 25: 24520},
+    ("Category Choice", 5, 8): {24: 4866, 27: 60314, 26: 25089, 25: 9731},
     ("Category Choice", 6, 0): {0: 100000},
-    ("Category Choice", 6, 1): {6: 27848, 23: 72152},
-    ("Category Choice", 6, 2): {8: 27078, 27: 72922},
-    ("Category Choice", 6, 3): {6: 27876, 29: 72124},
-    ("Category Choice", 6, 4): {9: 30912, 31: 69088},
-    ("Category Choice", 6, 5): {10: 27761, 28: 38016, 32: 34223},
-    ("Category Choice", 6, 6): {13: 25547, 29: 39452, 33: 35001},
-    ("Category Choice", 6, 7): {12: 767, 22: 32355, 34: 66878},
-    ("Category Choice", 6, 8): {12: 25224, 31: 41692, 35: 33084},
+    ("Category Choice", 6, 1): {6: 2276, 17: 33774, 20: 63950},
+    ("Category Choice", 6, 2): {20: 34853, 24: 65147},
+    ("Category Choice", 6, 3): {22: 12477, 26: 64201, 24: 23322},
+    ("Category Choice", 6, 4): {24: 14073, 28: 60688, 26: 25239},
+    ("Category Choice", 6, 5): {26: 35591, 29: 64409},
+    ("Category Choice", 6, 6): {26: 33229, 30: 66771},
+    ("Category Choice", 6, 7): {28: 33078, 31: 66922},
+    ("Category Choice", 6, 8): {28: 12143, 31: 24567, 32: 63290},
     ("Category Choice", 7, 0): {0: 100000},
-    ("Category Choice", 7, 1): {7: 1237, 15: 32047, 27: 66716},
-    ("Category Choice", 7, 2): {10: 27324, 31: 72676},
-    ("Category Choice", 7, 3): {10: 759, 20: 32233, 34: 67008},
-    ("Category Choice", 7, 4): {13: 26663, 35: 73337},
-    ("Category Choice", 7, 5): {12: 29276, 37: 70724},
-    ("Category Choice", 7, 6): {14: 26539, 38: 73461},
-    ("Category Choice", 7, 7): {16: 24675, 35: 38365, 39: 36960},
-    ("Category Choice", 7, 8): {14: 2, 19: 31688, 40: 68310},
+    ("Category Choice", 7, 1): {7: 1558, 20: 31716, 23: 66726},
+    ("Category Choice", 7, 2): {23: 34663, 28: 65337},
+    ("Category Choice", 7, 3): {28: 32932, 30: 67062, 23: 6},
+    ("Category Choice", 7, 4): {28: 11163, 32: 66108, 30: 22729},
+    ("Category Choice", 7, 5): {30: 12528, 34: 63034, 32: 24438},
+    ("Category Choice", 7, 6): {30: 4270, 35: 65916, 34: 21485, 32: 8329},
+    ("Category Choice", 7, 7): {32: 4014, 36: 68134, 35: 21006, 34: 6846},
+    ("Category Choice", 7, 8): {34: 3434, 37: 68373, 36: 21550, 35: 6643},
     ("Category Choice", 8, 0): {0: 100000},
-    ("Category Choice", 8, 1): {10: 23768, 25: 38280, 30: 37952},
-    ("Category Choice", 8, 2): {11: 27666, 31: 38472, 36: 33862},
-    ("Category Choice", 8, 3): {12: 24387, 33: 37477, 38: 38136},
-    ("Category Choice", 8, 4): {16: 23316, 35: 38117, 40: 38567},
-    ("Category Choice", 8, 5): {16: 30949, 42: 69051},
-    ("Category Choice", 8, 6): {16: 26968, 43: 73032},
-    ("Category Choice", 8, 7): {20: 24559, 44: 75441},
-    ("Category Choice", 8, 8): {20: 1, 23: 22731, 41: 37835, 45: 39433},
+    ("Category Choice", 8, 1): {10: 1400, 23: 36664, 27: 61936},
+    ("Category Choice", 8, 2): {27: 34595, 32: 65405},
+    ("Category Choice", 8, 3): {30: 13097, 35: 62142, 32: 24761},
+    ("Category Choice", 8, 4): {35: 36672, 37: 63328},
+    ("Category Choice", 8, 5): {39: 61292, 35: 14195, 37: 24513},
+    ("Category Choice", 8, 6): {40: 65672, 39: 21040, 35: 4873, 37: 8415},
+    ("Category Choice", 8, 7): {39: 13561, 42: 60493, 40: 25946},
+    ("Category Choice", 8, 8): {39: 5250, 43: 61284, 42: 23421, 40: 10045},
     ("Category Inverse Choice", 0, 0): {0: 100000},
     ("Category Inverse Choice", 0, 1): {0: 100000},
     ("Category Inverse Choice", 0, 2): {0: 100000},
@@ -584,77 +576,77 @@ yacht_weights = {
     ("Category Inverse Choice", 0, 7): {0: 100000},
     ("Category Inverse Choice", 0, 8): {0: 100000},
     ("Category Inverse Choice", 1, 0): {0: 100000},
-    ("Category Inverse Choice", 1, 1): {1: 33315, 5: 66685},
-    ("Category Inverse Choice", 1, 2): {1: 10921, 5: 89079},
-    ("Category Inverse Choice", 1, 3): {1: 27995, 6: 72005},
-    ("Category Inverse Choice", 1, 4): {1: 15490, 6: 84510},
-    ("Category Inverse Choice", 1, 5): {1: 6390, 6: 93610},
-    ("Category Inverse Choice", 1, 6): {1: 34656, 6: 65344},
-    ("Category Inverse Choice", 1, 7): {1: 28829, 6: 71171},
-    ("Category Inverse Choice", 1, 8): {1: 23996, 6: 76004},
+    ("Category Inverse Choice", 1, 1): {1: 33315, 3: 66685},
+    ("Category Inverse Choice", 1, 2): {1: 32981, 4: 67019},
+    ("Category Inverse Choice", 1, 3): {1: 12312, 4: 25020, 5: 62668},
+    ("Category Inverse Choice", 1, 4): {1: 11564, 5: 88436},
+    ("Category Inverse Choice", 1, 5): {1: 2956, 5: 97044},
+    ("Category Inverse Choice", 1, 6): {4: 1024, 6: 65357, 5: 33619},
+    ("Category Inverse Choice", 1, 7): {6: 100000},
+    ("Category Inverse Choice", 1, 8): {6: 100000},
     ("Category Inverse Choice", 2, 0): {0: 100000},
-    ("Category Inverse Choice", 2, 1): {2: 16796, 8: 83204},
-    ("Category Inverse Choice", 2, 2): {2: 22212, 10: 77788},
-    ("Category Inverse Choice", 2, 3): {2: 29002, 11: 70998},
-    ("Category Inverse Choice", 2, 4): {2: 22485, 11: 77515},
-    ("Category Inverse Choice", 2, 5): {2: 28019, 12: 71981},
-    ("Category Inverse Choice", 2, 6): {2: 23193, 12: 76807},
-    ("Category Inverse Choice", 2, 7): {2: 11255, 8: 38369, 12: 50376},
-    ("Category Inverse Choice", 2, 8): {2: 9297, 12: 90703},
+    ("Category Inverse Choice", 2, 1): {2: 27810, 6: 72190},
+    ("Category Inverse Choice", 2, 2): {2: 10285, 6: 26698, 8: 63017},
+    ("Category Inverse Choice", 2, 3): {2: 3965, 8: 96035},
+    ("Category Inverse Choice", 2, 4): {2: 143, 8: 33731, 9: 66126},
+    ("Category Inverse Choice", 2, 5): {8: 12687, 10: 62544, 9: 24769},
+    ("Category Inverse Choice", 2, 6): {10: 100000},
+    ("Category Inverse Choice", 2, 7): {11: 66194, 10: 33806},
+    ("Category Inverse Choice", 2, 8): {11: 100000},
     ("Category Inverse Choice", 3, 0): {0: 100000},
-    ("Category Inverse Choice", 3, 1): {3: 25983, 12: 74017},
-    ("Category Inverse Choice", 3, 2): {3: 24419, 14: 75581},
-    ("Category Inverse Choice", 3, 3): {3: 24466, 15: 75534},
-    ("Category Inverse Choice", 3, 4): {3: 25866, 16: 74134},
-    ("Category Inverse Choice", 3, 5): {3: 30994, 17: 69006},
-    ("Category Inverse Choice", 3, 6): {3: 13523, 13: 41606, 17: 44871},
-    ("Category Inverse Choice", 3, 7): {3: 28667, 18: 71333},
-    ("Category Inverse Choice", 3, 8): {3: 23852, 18: 76148},
+    ("Category Inverse Choice", 3, 1): {3: 10461, 6: 27156, 10: 62383},
+    ("Category Inverse Choice", 3, 2): {3: 3586, 6: 31281, 12: 65133},
+    ("Category Inverse Choice", 3, 3): {3: 1491, 12: 33737, 13: 64772},
+    ("Category Inverse Choice", 3, 4): {12: 13802, 14: 60820, 13: 25378},
+    ("Category Inverse Choice", 3, 5): {14: 99999, 13: 1},
+    ("Category Inverse Choice", 3, 6): {15: 64851, 14: 35149},
+    ("Category Inverse Choice", 3, 7): {16: 62341, 15: 24422, 14: 13237},
+    ("Category Inverse Choice", 3, 8): {16: 100000},
     ("Category Inverse Choice", 4, 0): {0: 100000},
-    ("Category Inverse Choice", 4, 1): {4: 1125, 7: 32443, 16: 66432},
-    ("Category Inverse Choice", 4, 2): {4: 18156, 14: 39494, 18: 42350},
-    ("Category Inverse Choice", 4, 3): {4: 538, 9: 32084, 20: 67378},
-    ("Category Inverse Choice", 4, 4): {4: 30873, 21: 69127},
-    ("Category Inverse Choice", 4, 5): {4: 31056, 22: 68944},
-    ("Category Inverse Choice", 4, 6): {4: 22939, 19: 43956, 23: 33105},
-    ("Category Inverse Choice", 4, 7): {5: 16935, 19: 41836, 23: 41229},
-    ("Category Inverse Choice", 4, 8): {5: 31948, 24: 68052},
+    ("Category Inverse Choice", 4, 1): {4: 4748, 10: 28815, 13: 66437},
+    ("Category Inverse Choice", 4, 2): {12: 12006, 16: 64226, 13: 23768},
+    ("Category Inverse Choice", 4, 3): {16: 32567, 17: 67433},
+    ("Category Inverse Choice", 4, 4): {16: 30845, 18: 69155},
+    ("Category Inverse Choice", 4, 5): {16: 9568, 19: 68981, 18: 21451},
+    ("Category Inverse Choice", 4, 6): {18: 10841, 20: 65051, 19: 24108},
+    ("Category Inverse Choice", 4, 7): {18: 4198, 21: 61270, 20: 25195, 19: 9337},
+    ("Category Inverse Choice", 4, 8): {21: 99999, 20: 1},
     ("Category Inverse Choice", 5, 0): {0: 100000},
-    ("Category Inverse Choice", 5, 1): {5: 21998, 15: 38001, 19: 40001},
-    ("Category Inverse Choice", 5, 2): {5: 26627, 19: 38217, 23: 35156},
-    ("Category Inverse Choice", 5, 3): {6: 22251, 24: 77749},
-    ("Category Inverse Choice", 5, 4): {5: 27098, 22: 39632, 26: 33270},
-    ("Category Inverse Choice", 5, 5): {6: 1166, 16: 32131, 27: 66703},
-    ("Category Inverse Choice", 5, 6): {7: 1177, 17: 32221, 28: 66602},
-    ("Category Inverse Choice", 5, 7): {8: 25048, 25: 42590, 29: 32362},
-    ("Category Inverse Choice", 5, 8): {9: 18270, 25: 41089, 29: 40641},
+    ("Category Inverse Choice", 5, 1): {5: 4485, 13: 35340, 17: 60175},
+    ("Category Inverse Choice", 5, 2): {16: 35286, 20: 64714},
+    ("Category Inverse Choice", 5, 3): {20: 39254, 22: 60746},
+    ("Category Inverse Choice", 5, 4): {20: 35320, 23: 64680},
+    ("Category Inverse Choice", 5, 5): {22: 33253, 24: 66747},
+    ("Category Inverse Choice", 5, 6): {22: 11089, 25: 66653, 24: 22258},
+    ("Category Inverse Choice", 5, 7): {24: 12216, 26: 63214, 22: 50, 25: 24520},
+    ("Category Inverse Choice", 5, 8): {24: 4866, 27: 60314, 26: 25089, 25: 9731},
     ("Category Inverse Choice", 6, 0): {0: 100000},
-    ("Category Inverse Choice", 6, 1): {6: 27848, 23: 72152},
-    ("Category Inverse Choice", 6, 2): {8: 27078, 27: 72922},
-    ("Category Inverse Choice", 6, 3): {6: 27876, 29: 72124},
-    ("Category Inverse Choice", 6, 4): {9: 30912, 31: 69088},
-    ("Category Inverse Choice", 6, 5): {10: 27761, 28: 38016, 32: 34223},
-    ("Category Inverse Choice", 6, 6): {13: 25547, 29: 39452, 33: 35001},
-    ("Category Inverse Choice", 6, 7): {12: 767, 22: 32355, 34: 66878},
-    ("Category Inverse Choice", 6, 8): {12: 25224, 31: 41692, 35: 33084},
+    ("Category Inverse Choice", 6, 1): {6: 2276, 17: 33774, 20: 63950},
+    ("Category Inverse Choice", 6, 2): {20: 34853, 24: 65147},
+    ("Category Inverse Choice", 6, 3): {22: 12477, 26: 64201, 24: 23322},
+    ("Category Inverse Choice", 6, 4): {24: 14073, 28: 60688, 26: 25239},
+    ("Category Inverse Choice", 6, 5): {26: 35591, 29: 64409},
+    ("Category Inverse Choice", 6, 6): {26: 33229, 30: 66771},
+    ("Category Inverse Choice", 6, 7): {28: 33078, 31: 66922},
+    ("Category Inverse Choice", 6, 8): {28: 12143, 31: 24567, 32: 63290},
     ("Category Inverse Choice", 7, 0): {0: 100000},
-    ("Category Inverse Choice", 7, 1): {7: 1237, 15: 32047, 27: 66716},
-    ("Category Inverse Choice", 7, 2): {10: 27324, 31: 72676},
-    ("Category Inverse Choice", 7, 3): {10: 759, 20: 32233, 34: 67008},
-    ("Category Inverse Choice", 7, 4): {13: 26663, 35: 73337},
-    ("Category Inverse Choice", 7, 5): {12: 29276, 37: 70724},
-    ("Category Inverse Choice", 7, 6): {14: 26539, 38: 73461},
-    ("Category Inverse Choice", 7, 7): {16: 24675, 35: 38365, 39: 36960},
-    ("Category Inverse Choice", 7, 8): {14: 2, 19: 31688, 40: 68310},
+    ("Category Inverse Choice", 7, 1): {7: 1558, 20: 31716, 23: 66726},
+    ("Category Inverse Choice", 7, 2): {23: 34663, 28: 65337},
+    ("Category Inverse Choice", 7, 3): {28: 32932, 30: 67062, 23: 6},
+    ("Category Inverse Choice", 7, 4): {28: 11163, 32: 66108, 30: 22729},
+    ("Category Inverse Choice", 7, 5): {30: 12528, 34: 63034, 32: 24438},
+    ("Category Inverse Choice", 7, 6): {30: 4270, 35: 65916, 34: 21485, 32: 8329},
+    ("Category Inverse Choice", 7, 7): {32: 4014, 36: 68134, 35: 21006, 34: 6846},
+    ("Category Inverse Choice", 7, 8): {34: 3434, 37: 68373, 36: 21550, 35: 6643},
     ("Category Inverse Choice", 8, 0): {0: 100000},
-    ("Category Inverse Choice", 8, 1): {10: 23768, 25: 38280, 30: 37952},
-    ("Category Inverse Choice", 8, 2): {11: 27666, 31: 38472, 36: 33862},
-    ("Category Inverse Choice", 8, 3): {12: 24387, 33: 37477, 38: 38136},
-    ("Category Inverse Choice", 8, 4): {16: 23316, 35: 38117, 40: 38567},
-    ("Category Inverse Choice", 8, 5): {16: 30949, 42: 69051},
-    ("Category Inverse Choice", 8, 6): {16: 26968, 43: 73032},
-    ("Category Inverse Choice", 8, 7): {20: 24559, 44: 75441},
-    ("Category Inverse Choice", 8, 8): {20: 1, 23: 22731, 41: 37835, 45: 39433},
+    ("Category Inverse Choice", 8, 1): {10: 1400, 23: 36664, 27: 61936},
+    ("Category Inverse Choice", 8, 2): {27: 34595, 32: 65405},
+    ("Category Inverse Choice", 8, 3): {30: 13097, 35: 62142, 32: 24761},
+    ("Category Inverse Choice", 8, 4): {35: 36672, 37: 63328},
+    ("Category Inverse Choice", 8, 5): {39: 61292, 35: 14195, 37: 24513},
+    ("Category Inverse Choice", 8, 6): {40: 65672, 39: 21040, 35: 4873, 37: 8415},
+    ("Category Inverse Choice", 8, 7): {39: 13561, 42: 60493, 40: 25946},
+    ("Category Inverse Choice", 8, 8): {39: 5250, 43: 61284, 42: 23421, 40: 10045},
     ("Category Pair", 0, 0): {0: 100000},
     ("Category Pair", 0, 1): {0: 100000},
     ("Category Pair", 0, 2): {0: 100000},
@@ -1319,54 +1311,54 @@ yacht_weights = {
     ("Category Distincts", 2, 6): {1: 1, 2: 99999},
     ("Category Distincts", 2, 7): {2: 100000},
     ("Category Distincts", 2, 8): {2: 100000},
-    ("Category Distincts", 3, 1): {1: 2760, 3: 97240},
-    ("Category Distincts", 3, 2): {1: 15014, 3: 84986},
-    ("Category Distincts", 3, 3): {1: 4866, 3: 95134},
-    ("Category Distincts", 3, 4): {2: 1659, 3: 98341},
-    ("Category Distincts", 3, 5): {2: 575, 3: 99425},
-    ("Category Distincts", 3, 6): {2: 200, 3: 99800},
-    ("Category Distincts", 3, 7): {2: 69, 3: 99931},
-    ("Category Distincts", 3, 8): {2: 22, 3: 99978},
-    ("Category Distincts", 4, 1): {1: 16634, 3: 83366},
-    ("Category Distincts", 4, 2): {1: 1893, 4: 98107},
-    ("Category Distincts", 4, 3): {2: 19861, 4: 80139},
-    ("Category Distincts", 4, 4): {2: 9879, 4: 90121},
-    ("Category Distincts", 4, 5): {2: 4906, 4: 95094},
-    ("Category Distincts", 4, 6): {3: 2494, 4: 97506},
-    ("Category Distincts", 4, 7): {3: 1297, 4: 98703},
-    ("Category Distincts", 4, 8): {3: 611, 4: 99389},
-    ("Category Distincts", 5, 1): {1: 5798, 4: 94202},
-    ("Category Distincts", 5, 2): {2: 11843, 4: 88157},
-    ("Category Distincts", 5, 3): {2: 3022, 5: 96978},
-    ("Category Distincts", 5, 4): {3: 32354, 5: 67646},
-    ("Category Distincts", 5, 5): {3: 21606, 5: 78394},
-    ("Category Distincts", 5, 6): {3: 14525, 5: 85475},
-    ("Category Distincts", 5, 7): {3: 9660, 5: 90340},
-    ("Category Distincts", 5, 8): {3: 6463, 5: 93537},
-    ("Category Distincts", 6, 1): {1: 25012, 4: 74988},
-    ("Category Distincts", 6, 2): {2: 3299, 5: 96701},
-    ("Category Distincts", 6, 3): {3: 17793, 5: 82207},
-    ("Category Distincts", 6, 4): {3: 7831, 5: 92169},
-    ("Category Distincts", 6, 5): {3: 3699, 6: 96301},
-    ("Category Distincts", 6, 6): {4: 1557, 6: 98443},
-    ("Category Distincts", 6, 7): {4: 728, 6: 99272},
-    ("Category Distincts", 6, 8): {4: 321, 6: 99679},
-    ("Category Distincts", 7, 1): {1: 13671, 5: 86329},
-    ("Category Distincts", 7, 2): {2: 19686, 5: 80314},
-    ("Category Distincts", 7, 3): {3: 6051, 6: 93949},
-    ("Category Distincts", 7, 4): {3: 1796, 6: 98204},
-    ("Category Distincts", 7, 5): {4: 28257, 6: 71743},
-    ("Category Distincts", 7, 6): {4: 19581, 6: 80419},
-    ("Category Distincts", 7, 7): {4: 13618, 6: 86382},
-    ("Category Distincts", 7, 8): {4: 9545, 6: 90455},
-    ("Category Distincts", 8, 1): {1: 7137, 5: 92863},
-    ("Category Distincts", 8, 2): {2: 9414, 6: 90586},
-    ("Category Distincts", 8, 3): {3: 1976, 6: 98024},
-    ("Category Distincts", 8, 4): {4: 21397, 6: 78603},
-    ("Category Distincts", 8, 5): {4: 12592, 6: 87408},
-    ("Category Distincts", 8, 6): {4: 7177, 6: 92823},
-    ("Category Distincts", 8, 7): {4: 4179, 6: 95821},
-    ("Category Distincts", 8, 8): {5: 2440, 6: 97560},
+    ("Category Distincts", 3, 1): {1: 2760, 2: 97240},
+    ("Category Distincts", 3, 2): {1: 414, 3: 84996, 2: 14590},
+    ("Category Distincts", 3, 3): {1: 109, 3: 99891},
+    ("Category Distincts", 3, 4): {2: 11, 3: 99989},
+    ("Category Distincts", 3, 5): {3: 100000},
+    ("Category Distincts", 3, 6): {3: 100000},
+    ("Category Distincts", 3, 7): {3: 100000},
+    ("Category Distincts", 3, 8): {3: 100000},
+    ("Category Distincts", 4, 1): {1: 458, 3: 83376, 2: 16166},
+    ("Category Distincts", 4, 2): {1: 26, 4: 61232, 3: 37802, 2: 940},
+    ("Category Distincts", 4, 3): {2: 3, 4: 97020, 3: 2977},
+    ("Category Distincts", 4, 4): {4: 100000},
+    ("Category Distincts", 4, 5): {4: 100000},
+    ("Category Distincts", 4, 6): {4: 100000},
+    ("Category Distincts", 4, 7): {4: 100000},
+    ("Category Distincts", 4, 8): {4: 100000},
+    ("Category Distincts", 5, 1): {1: 159, 3: 99841},
+    ("Category Distincts", 5, 2): {2: 18, 4: 88167, 3: 11815},
+    ("Category Distincts", 5, 3): {4: 100000},
+    ("Category Distincts", 5, 4): {5: 67650, 4: 32350},
+    ("Category Distincts", 5, 5): {5: 100000},
+    ("Category Distincts", 5, 6): {5: 100000},
+    ("Category Distincts", 5, 7): {5: 100000},
+    ("Category Distincts", 5, 8): {5: 100000},
+    ("Category Distincts", 6, 1): {1: 39, 4: 74998, 3: 24963},
+    ("Category Distincts", 6, 2): {2: 1, 5: 61568, 4: 37296, 3: 1135},
+    ("Category Distincts", 6, 3): {5: 93157, 4: 6843},
+    ("Category Distincts", 6, 4): {5: 100000},
+    ("Category Distincts", 6, 5): {5: 100000},
+    ("Category Distincts", 6, 6): {5: 100000},
+    ("Category Distincts", 6, 7): {5: 100000},
+    ("Category Distincts", 6, 8): {6: 65828, 5: 34172},
+    ("Category Distincts", 7, 1): {1: 13, 4: 99987},
+    ("Category Distincts", 7, 2): {5: 99580, 4: 420},
+    ("Category Distincts", 7, 3): {5: 100000},
+    ("Category Distincts", 7, 4): {5: 100000},
+    ("Category Distincts", 7, 5): {6: 71744, 5: 28256},
+    ("Category Distincts", 7, 6): {6: 100000},
+    ("Category Distincts", 7, 7): {6: 100000},
+    ("Category Distincts", 7, 8): {6: 100000},
+    ("Category Distincts", 8, 1): {4: 100000},
+    ("Category Distincts", 8, 2): {5: 99981, 4: 19},
+    ("Category Distincts", 8, 3): {6: 63291, 5: 36709},
+    ("Category Distincts", 8, 4): {6: 99994, 5: 6},
+    ("Category Distincts", 8, 5): {6: 100000},
+    ("Category Distincts", 8, 6): {6: 100000},
+    ("Category Distincts", 8, 7): {6: 100000},
+    ("Category Distincts", 8, 8): {6: 100000},
     ("Category Two times Ones", 0, 0): {0: 100000},
     ("Category Two times Ones", 0, 1): {0: 100000},
     ("Category Two times Ones", 0, 2): {0: 100000},
@@ -1378,7 +1370,7 @@ yacht_weights = {
     ("Category Two times Ones", 0, 8): {0: 100000},
     ("Category Two times Ones", 1, 0): {0: 100000},
     ("Category Two times Ones", 1, 1): {0: 100000},
-    ("Category Two times Ones", 1, 2): {0: 100000},
+    ("Category Two times Ones", 1, 2): {0: 69690, 2: 30310},
     ("Category Two times Ones", 1, 3): {0: 57818, 2: 42182},
     ("Category Two times Ones", 1, 4): {0: 48418, 2: 51582},
     ("Category Two times Ones", 1, 5): {0: 40301, 2: 59699},
@@ -1386,68 +1378,68 @@ yacht_weights = {
     ("Category Two times Ones", 1, 7): {0: 28182, 2: 71818},
     ("Category Two times Ones", 1, 8): {0: 23406, 2: 76594},
     ("Category Two times Ones", 2, 0): {0: 100000},
-    ("Category Two times Ones", 2, 1): {0: 100000},
+    ("Category Two times Ones", 2, 1): {0: 69724, 2: 30276},
     ("Category Two times Ones", 2, 2): {0: 48238, 2: 51762},
-    ("Category Two times Ones", 2, 3): {0: 33290, 4: 66710},
-    ("Category Two times Ones", 2, 4): {0: 23136, 4: 76864},
-    ("Category Two times Ones", 2, 5): {0: 16146, 4: 83854},
-    ("Category Two times Ones", 2, 6): {0: 11083, 4: 88917},
-    ("Category Two times Ones", 2, 7): {0: 7662, 4: 92338},
-    ("Category Two times Ones", 2, 8): {0: 5354, 4: 94646},
+    ("Category Two times Ones", 2, 3): {0: 33290, 2: 66710},
+    ("Category Two times Ones", 2, 4): {0: 23136, 2: 76864},
+    ("Category Two times Ones", 2, 5): {0: 16146, 2: 48200, 4: 35654},
+    ("Category Two times Ones", 2, 6): {0: 11083, 2: 44497, 4: 44420},
+    ("Category Two times Ones", 2, 7): {0: 7662, 2: 40343, 4: 51995},
+    ("Category Two times Ones", 2, 8): {0: 5354, 2: 35526, 4: 59120},
     ("Category Two times Ones", 3, 0): {0: 100000},
     ("Category Two times Ones", 3, 1): {0: 58021, 2: 41979},
-    ("Category Two times Ones", 3, 2): {0: 33548, 4: 66452},
-    ("Category Two times Ones", 3, 3): {0: 19375, 4: 80625},
-    ("Category Two times Ones", 3, 4): {0: 10998, 4: 89002},
-    ("Category Two times Ones", 3, 5): {0: 6519, 6: 93481},
-    ("Category Two times Ones", 3, 6): {0: 3619, 6: 96381},
-    ("Category Two times Ones", 3, 7): {0: 2195, 6: 97805},
-    ("Category Two times Ones", 3, 8): {0: 13675, 6: 86325},
+    ("Category Two times Ones", 3, 2): {0: 33548, 2: 66452},
+    ("Category Two times Ones", 3, 3): {0: 19375, 2: 42372, 4: 38253},
+    ("Category Two times Ones", 3, 4): {0: 10998, 2: 36435, 4: 52567},
+    ("Category Two times Ones", 3, 5): {0: 7954, 4: 92046},
+    ("Category Two times Ones", 3, 6): {0: 347, 4: 99653},
+    ("Category Two times Ones", 3, 7): {0: 2, 4: 62851, 6: 37147},
+    ("Category Two times Ones", 3, 8): {6: 99476, 4: 524},
     ("Category Two times Ones", 4, 0): {0: 100000},
     ("Category Two times Ones", 4, 1): {0: 48235, 2: 51765},
-    ("Category Two times Ones", 4, 2): {0: 23289, 4: 76711},
-    ("Category Two times Ones", 4, 3): {0: 11177, 6: 88823},
-    ("Category Two times Ones", 4, 4): {0: 5499, 6: 94501},
-    ("Category Two times Ones", 4, 5): {0: 18356, 6: 81644},
-    ("Category Two times Ones", 4, 6): {0: 11169, 8: 88831},
-    ("Category Two times Ones", 4, 7): {0: 6945, 8: 93055},
-    ("Category Two times Ones", 4, 8): {0: 4091, 8: 95909},
+    ("Category Two times Ones", 4, 2): {0: 23289, 2: 40678, 4: 36033},
+    ("Category Two times Ones", 4, 3): {0: 11177, 2: 32677, 4: 56146},
+    ("Category Two times Ones", 4, 4): {0: 5522, 4: 60436, 6: 34042},
+    ("Category Two times Ones", 4, 5): {0: 4358, 6: 95642},
+    ("Category Two times Ones", 4, 6): {0: 20, 6: 99980},
+    ("Category Two times Ones", 4, 7): {6: 100000},
+    ("Category Two times Ones", 4, 8): {6: 65250, 8: 34750},
     ("Category Two times Ones", 5, 0): {0: 100000},
-    ("Category Two times Ones", 5, 1): {0: 40028, 4: 59972},
-    ("Category Two times Ones", 5, 2): {0: 16009, 6: 83991},
-    ("Category Two times Ones", 5, 3): {0: 6489, 6: 93511},
-    ("Category Two times Ones", 5, 4): {0: 16690, 8: 83310},
-    ("Category Two times Ones", 5, 5): {0: 9016, 8: 90984},
-    ("Category Two times Ones", 5, 6): {0: 4602, 8: 95398},
-    ("Category Two times Ones", 5, 7): {0: 13627, 10: 86373},
-    ("Category Two times Ones", 5, 8): {0: 8742, 10: 91258},
+    ("Category Two times Ones", 5, 1): {0: 40028, 2: 59972},
+    ("Category Two times Ones", 5, 2): {0: 16009, 2: 35901, 4: 48090},
+    ("Category Two times Ones", 5, 3): {0: 6820, 4: 57489, 6: 35691},
+    ("Category Two times Ones", 5, 4): {0: 5285, 6: 94715},
+    ("Category Two times Ones", 5, 5): {0: 18, 6: 66613, 8: 33369},
+    ("Category Two times Ones", 5, 6): {8: 99073, 6: 927},
+    ("Category Two times Ones", 5, 7): {8: 100000},
+    ("Category Two times Ones", 5, 8): {8: 100000},
     ("Category Two times Ones", 6, 0): {0: 100000},
-    ("Category Two times Ones", 6, 1): {0: 33502, 4: 66498},
-    ("Category Two times Ones", 6, 2): {0: 11210, 6: 88790},
-    ("Category Two times Ones", 6, 3): {0: 3673, 6: 96327},
-    ("Category Two times Ones", 6, 4): {0: 9291, 8: 90709},
-    ("Category Two times Ones", 6, 5): {0: 441, 8: 99559},
-    ("Category Two times Ones", 6, 6): {0: 10255, 10: 89745},
-    ("Category Two times Ones", 6, 7): {0: 5646, 10: 94354},
-    ("Category Two times Ones", 6, 8): {0: 14287, 12: 85713},
+    ("Category Two times Ones", 6, 1): {0: 33502, 2: 66498},
+    ("Category Two times Ones", 6, 2): {0: 13681, 4: 59162, 2: 27157},
+    ("Category Two times Ones", 6, 3): {0: 5486, 6: 94514},
+    ("Category Two times Ones", 6, 4): {0: 190, 6: 62108, 8: 37702},
+    ("Category Two times Ones", 6, 5): {8: 99882, 6: 118},
+    ("Category Two times Ones", 6, 6): {8: 65144, 10: 34856},
+    ("Category Two times Ones", 6, 7): {10: 99524, 8: 476},
+    ("Category Two times Ones", 6, 8): {10: 100000},
     ("Category Two times Ones", 7, 0): {0: 100000},
-    ("Category Two times Ones", 7, 1): {0: 27683, 4: 72317},
-    ("Category Two times Ones", 7, 2): {0: 7824, 6: 92176},
-    ("Category Two times Ones", 7, 3): {0: 13167, 8: 86833},
-    ("Category Two times Ones", 7, 4): {0: 564, 10: 99436},
-    ("Category Two times Ones", 7, 5): {0: 9824, 10: 90176},
-    ("Category Two times Ones", 7, 6): {0: 702, 12: 99298},
-    ("Category Two times Ones", 7, 7): {0: 10186, 12: 89814},
-    ("Category Two times Ones", 7, 8): {0: 942, 12: 99058},
+    ("Category Two times Ones", 7, 1): {0: 27683, 2: 39060, 4: 33257},
+    ("Category Two times Ones", 7, 2): {0: 8683, 4: 54932, 6: 36385},
+    ("Category Two times Ones", 7, 3): {0: 373, 6: 66572, 8: 33055},
+    ("Category Two times Ones", 7, 4): {8: 99816, 6: 184},
+    ("Category Two times Ones", 7, 5): {8: 58124, 10: 41876},
+    ("Category Two times Ones", 7, 6): {10: 99948, 8: 52},
+    ("Category Two times Ones", 7, 7): {10: 62549, 12: 37451},
+    ("Category Two times Ones", 7, 8): {12: 99818, 10: 182},
     ("Category Two times Ones", 8, 0): {0: 100000},
-    ("Category Two times Ones", 8, 1): {0: 23378, 4: 76622},
-    ("Category Two times Ones", 8, 2): {0: 5420, 8: 94580},
-    ("Category Two times Ones", 8, 3): {0: 8560, 10: 91440},
-    ("Category Two times Ones", 8, 4): {0: 12199, 12: 87801},
-    ("Category Two times Ones", 8, 5): {0: 879, 12: 99121},
-    ("Category Two times Ones", 8, 6): {0: 9033, 14: 90967},
-    ("Category Two times Ones", 8, 7): {0: 15767, 14: 84233},
-    ("Category Two times Ones", 8, 8): {2: 9033, 14: 90967},
+    ("Category Two times Ones", 8, 1): {0: 23378, 2: 37157, 4: 39465},
+    ("Category Two times Ones", 8, 2): {0: 5602, 6: 94398},
+    ("Category Two times Ones", 8, 3): {0: 8, 6: 10911, 8: 89081},
+    ("Category Two times Ones", 8, 4): {8: 59809, 10: 40191},
+    ("Category Two times Ones", 8, 5): {10: 68808, 12: 31114, 8: 78},
+    ("Category Two times Ones", 8, 6): {12: 98712, 10: 1287, 8: 1},
+    ("Category Two times Ones", 8, 7): {12: 100000},
+    ("Category Two times Ones", 8, 8): {12: 59018, 14: 40982},
     ("Category Half of Sixes", 0, 0): {0: 100000},
     ("Category Half of Sixes", 0, 1): {0: 100000},
     ("Category Half of Sixes", 0, 2): {0: 100000},
@@ -1469,386 +1461,386 @@ yacht_weights = {
     ("Category Half of Sixes", 2, 0): {0: 100000},
     ("Category Half of Sixes", 2, 1): {0: 69419, 3: 30581},
     ("Category Half of Sixes", 2, 2): {0: 48202, 3: 51798},
-    ("Category Half of Sixes", 2, 3): {0: 33376, 6: 66624},
-    ("Category Half of Sixes", 2, 4): {0: 23276, 6: 76724},
-    ("Category Half of Sixes", 2, 5): {0: 16092, 6: 83908},
-    ("Category Half of Sixes", 2, 6): {0: 11232, 6: 88768},
-    ("Category Half of Sixes", 2, 7): {0: 7589, 6: 92411},
-    ("Category Half of Sixes", 2, 8): {0: 5447, 6: 94553},
+    ("Category Half of Sixes", 2, 3): {0: 33376, 3: 66624},
+    ("Category Half of Sixes", 2, 4): {0: 23276, 3: 49810, 6: 26914},
+    ("Category Half of Sixes", 2, 5): {0: 16092, 3: 47718, 6: 36190},
+    ("Category Half of Sixes", 2, 6): {0: 11232, 3: 44515, 6: 44253},
+    ("Category Half of Sixes", 2, 7): {0: 7589, 3: 40459, 6: 51952},
+    ("Category Half of Sixes", 2, 8): {0: 5447, 3: 35804, 6: 58749},
     ("Category Half of Sixes", 3, 0): {0: 100000},
     ("Category Half of Sixes", 3, 1): {0: 57964, 3: 42036},
-    ("Category Half of Sixes", 3, 2): {0: 33637, 6: 66363},
-    ("Category Half of Sixes", 3, 3): {0: 19520, 6: 80480},
-    ("Category Half of Sixes", 3, 4): {0: 11265, 6: 88735},
-    ("Category Half of Sixes", 3, 5): {0: 6419, 6: 72177, 9: 21404},
-    ("Category Half of Sixes", 3, 6): {0: 3810, 6: 66884, 9: 29306},
-    ("Category Half of Sixes", 3, 7): {0: 2174, 6: 60595, 9: 37231},
-    ("Category Half of Sixes", 3, 8): {0: 1237, 6: 53693, 9: 45070},
+    ("Category Half of Sixes", 3, 2): {0: 33637, 3: 44263, 6: 22100},
+    ("Category Half of Sixes", 3, 3): {0: 19520, 3: 42382, 6: 38098},
+    ("Category Half of Sixes", 3, 4): {0: 11265, 3: 35772, 6: 52963},
+    ("Category Half of Sixes", 3, 5): {0: 6419, 3: 28916, 6: 43261, 9: 21404},
+    ("Category Half of Sixes", 3, 6): {0: 3810, 3: 22496, 6: 44388, 9: 29306},
+    ("Category Half of Sixes", 3, 7): {0: 1317, 6: 30047, 9: 68636},
+    ("Category Half of Sixes", 3, 8): {0: 750, 9: 99250},
     ("Category Half of Sixes", 4, 0): {0: 100000},
-    ("Category Half of Sixes", 4, 1): {0: 48121, 6: 51879},
-    ("Category Half of Sixes", 4, 2): {0: 23296, 6: 76704},
-    ("Category Half of Sixes", 4, 3): {0: 11233, 6: 68363, 9: 20404},
-    ("Category Half of Sixes", 4, 4): {0: 5463, 6: 60738, 9: 33799},
-    ("Category Half of Sixes", 4, 5): {0: 2691, 6: 50035, 12: 47274},
-    ("Category Half of Sixes", 4, 6): {0: 11267, 9: 88733},
-    ("Category Half of Sixes", 4, 7): {0: 6921, 9: 66034, 12: 27045},
-    ("Category Half of Sixes", 4, 8): {0: 4185, 9: 61079, 12: 34736},
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+    ("Category Half of Sixes", 4, 2): {0: 23296, 3: 40989, 6: 35715},
+    ("Category Half of Sixes", 4, 3): {0: 11233, 3: 32653, 6: 35710, 9: 20404},
+    ("Category Half of Sixes", 4, 4): {0: 5463, 3: 23270, 6: 37468, 9: 33799},
+    ("Category Half of Sixes", 4, 5): {0: 5225, 6: 29678, 9: 65097},
+    ("Category Half of Sixes", 4, 6): {0: 3535, 9: 96465},
+    ("Category Half of Sixes", 4, 7): {0: 6, 9: 72939, 12: 27055},
+    ("Category Half of Sixes", 4, 8): {9: 25326, 12: 74674},
     ("Category Half of Sixes", 5, 0): {0: 100000},
-    ("Category Half of Sixes", 5, 1): {0: 40183, 6: 59817},
-    ("Category Half of Sixes", 5, 2): {0: 16197, 6: 83803},
-    ("Category Half of Sixes", 5, 3): {0: 6583, 6: 57826, 9: 35591},
-    ("Category Half of Sixes", 5, 4): {0: 2636, 9: 76577, 12: 20787},
-    ("Category Half of Sixes", 5, 5): {0: 8879, 9: 57821, 12: 33300},
-    ("Category Half of Sixes", 5, 6): {0: 4652, 12: 95348},
-    ("Category Half of Sixes", 5, 7): {0: 2365, 12: 97635},
-    ("Category Half of Sixes", 5, 8): {0: 8671, 12: 64865, 15: 26464},
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+    ("Category Half of Sixes", 5, 2): {0: 16197, 3: 35494, 6: 48309},
+    ("Category Half of Sixes", 5, 3): {0: 6583, 3: 23394, 6: 34432, 9: 35591},
+    ("Category Half of Sixes", 5, 4): {0: 5007, 6: 25159, 9: 49038, 12: 20796},
+    ("Category Half of Sixes", 5, 5): {0: 2900, 9: 38935, 12: 58165},
+    ("Category Half of Sixes", 5, 6): {0: 2090, 12: 97910},
+    ("Category Half of Sixes", 5, 7): {12: 99994, 9: 6},
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     ("Category Half of Sixes", 6, 0): {0: 100000},
-    ("Category Half of Sixes", 6, 1): {0: 33473, 6: 66527},
-    ("Category Half of Sixes", 6, 2): {0: 11147, 6: 62222, 9: 26631},
-    ("Category Half of Sixes", 6, 3): {0: 3628, 9: 75348, 12: 21024},
-    ("Category Half of Sixes", 6, 4): {0: 9498, 9: 52940, 15: 37562},
-    ("Category Half of Sixes", 6, 5): {0: 4236, 12: 72944, 15: 22820},
-    ("Category Half of Sixes", 6, 6): {0: 10168, 12: 55072, 15: 34760},
-    ("Category Half of Sixes", 6, 7): {0: 5519, 15: 94481},
-    ("Category Half of Sixes", 6, 8): {0: 2968, 15: 76504, 18: 20528},
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+    ("Category Half of Sixes", 6, 2): {0: 11147, 3: 29592, 6: 32630, 9: 26631},
+    ("Category Half of Sixes", 6, 3): {0: 2460, 6: 21148, 9: 55356, 12: 21036},
+    ("Category Half of Sixes", 6, 4): {0: 997, 9: 29741, 12: 69262},
+    ("Category Half of Sixes", 6, 5): {0: 831, 12: 76328, 15: 22841},
+    ("Category Half of Sixes", 6, 6): {12: 29960, 15: 70040},
+    ("Category Half of Sixes", 6, 7): {15: 100000},
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-    ("Category Half of Sixes", 7, 2): {0: 7794, 6: 55728, 12: 36478},
-    ("Category Half of Sixes", 7, 3): {0: 2138, 9: 64554, 15: 33308},
-    ("Category Half of Sixes", 7, 4): {0: 5238, 12: 69214, 15: 25548},
-    ("Category Half of Sixes", 7, 5): {0: 9894, 15: 90106},
-    ("Category Half of Sixes", 7, 6): {0: 4656, 15: 69353, 18: 25991},
-    ("Category Half of Sixes", 7, 7): {0: 10005, 15: 52430, 18: 37565},
-    ("Category Half of Sixes", 7, 8): {0: 5710, 18: 94290},
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+    ("Category Half of Sixes", 7, 3): {0: 1321, 9: 40251, 12: 58428},
+    ("Category Half of Sixes", 7, 4): {0: 370, 12: 74039, 15: 25591},
+    ("Category Half of Sixes", 7, 5): {0: 6, 15: 98660, 12: 1334},
+    ("Category Half of Sixes", 7, 6): {15: 73973, 18: 26027},
+    ("Category Half of Sixes", 7, 7): {18: 100000},
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     ("Category Half of Sixes", 8, 0): {0: 100000},
-    ("Category Half of Sixes", 8, 1): {0: 23337, 6: 76663},
-    ("Category Half of Sixes", 8, 2): {0: 5310, 9: 74178, 12: 20512},
-    ("Category Half of Sixes", 8, 3): {0: 8656, 12: 70598, 15: 20746},
-    ("Category Half of Sixes", 8, 4): {0: 291, 12: 59487, 18: 40222},
-    ("Category Half of Sixes", 8, 5): {0: 5145, 15: 63787, 18: 31068},
-    ("Category Half of Sixes", 8, 6): {0: 8804, 18: 91196},
-    ("Category Half of Sixes", 8, 7): {0: 4347, 18: 65663, 21: 29990},
-    ("Category Half of Sixes", 8, 8): {0: 9252, 21: 90748},
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+    ("Category Half of Sixes", 8, 2): {0: 4652, 6: 29310, 9: 45517, 12: 20521},
+    ("Category Half of Sixes", 8, 3): {0: 1300, 12: 77919, 15: 20781},
+    ("Category Half of Sixes", 8, 4): {0: 21, 15: 98678, 12: 1301},
+    ("Category Half of Sixes", 8, 5): {15: 68893, 18: 31107},
+    ("Category Half of Sixes", 8, 6): {18: 100000},
+    ("Category Half of Sixes", 8, 7): {18: 69986, 21: 30014},
+    ("Category Half of Sixes", 8, 8): {21: 98839, 18: 1161},
     ("Category Twos and Threes", 1, 1): {0: 66466, 2: 33534},
     ("Category Twos and Threes", 1, 2): {0: 55640, 2: 44360},
-    ("Category Twos and Threes", 1, 3): {0: 57822, 3: 42178},
-    ("Category Twos and Threes", 1, 4): {0: 48170, 3: 51830},
-    ("Category Twos and Threes", 1, 5): {0: 40294, 3: 59706},
-    ("Category Twos and Threes", 1, 6): {0: 33417, 3: 66583},
-    ("Category Twos and Threes", 1, 7): {0: 27852, 3: 72148},
-    ("Category Twos and Threes", 1, 8): {0: 23364, 3: 76636},
-    ("Category Twos and Threes", 2, 1): {0: 44565, 3: 55435},
-    ("Category Twos and Threes", 2, 2): {0: 46335, 3: 53665},
-    ("Category Twos and Threes", 2, 3): {0: 32347, 3: 67653},
-    ("Category Twos and Threes", 2, 4): {0: 22424, 5: 77576},
-    ("Category Twos and Threes", 2, 5): {0: 15661, 6: 84339},
-    ("Category Twos and Threes", 2, 6): {0: 10775, 6: 89225},
-    ("Category Twos and Threes", 2, 7): {0: 7375, 6: 92625},
-    ("Category Twos and Threes", 2, 8): {0: 5212, 6: 94788},
-    ("Category Twos and Threes", 3, 1): {0: 29892, 3: 70108},
-    ("Category Twos and Threes", 3, 2): {0: 17285, 5: 82715},
-    ("Category Twos and Threes", 3, 3): {0: 17436, 6: 82564},
-    ("Category Twos and Threes", 3, 4): {0: 9962, 6: 90038},
-    ("Category Twos and Threes", 3, 5): {0: 3347, 6: 96653},
-    ("Category Twos and Threes", 3, 6): {0: 1821, 8: 98179},
-    ("Category Twos and Threes", 3, 7): {0: 1082, 6: 61417, 9: 37501},
-    ("Category Twos and Threes", 3, 8): {0: 13346, 9: 86654},
-    ("Category Twos and Threes", 4, 1): {0: 19619, 5: 80381},
-    ("Category Twos and Threes", 4, 2): {0: 18914, 6: 81086},
-    ("Category Twos and Threes", 4, 3): {0: 4538, 5: 61859, 8: 33603},
-    ("Category Twos and Threes", 4, 4): {0: 2183, 6: 62279, 9: 35538},
-    ("Category Twos and Threes", 4, 5): {0: 16416, 9: 83584},
-    ("Category Twos and Threes", 4, 6): {0: 6285, 9: 93715},
-    ("Category Twos and Threes", 4, 7): {0: 30331, 11: 69669},
-    ("Category Twos and Threes", 4, 8): {0: 22305, 12: 77695},
-    ("Category Twos and Threes", 5, 1): {0: 13070, 5: 86930},
-    ("Category Twos and Threes", 5, 2): {0: 5213, 5: 61441, 8: 33346},
-    ("Category Twos and Threes", 5, 3): {0: 2126, 6: 58142, 9: 39732},
-    ("Category Twos and Threes", 5, 4): {0: 848, 2: 30734, 11: 68418},
-    ("Category Twos and Threes", 5, 5): {0: 29502, 12: 70498},
-    ("Category Twos and Threes", 5, 6): {0: 123, 9: 52792, 12: 47085},
-    ("Category Twos and Threes", 5, 7): {0: 8241, 12: 91759},
-    ("Category Twos and Threes", 5, 8): {0: 13, 2: 31670, 14: 68317},
-    ("Category Twos and Threes", 6, 1): {0: 22090, 6: 77910},
-    ("Category Twos and Threes", 6, 2): {0: 2944, 6: 62394, 9: 34662},
-    ("Category Twos and Threes", 6, 3): {0: 977, 2: 30626, 11: 68397},
-    ("Category Twos and Threes", 6, 4): {0: 320, 8: 58370, 12: 41310},
-    ("Category Twos and Threes", 6, 5): {0: 114, 2: 31718, 14: 68168},
-    ("Category Twos and Threes", 6, 6): {0: 29669, 15: 70331},
-    ("Category Twos and Threes", 6, 7): {0: 19855, 15: 80145},
-    ("Category Twos and Threes", 6, 8): {0: 8524, 15: 91476},
-    ("Category Twos and Threes", 7, 1): {0: 5802, 4: 54580, 7: 39618},
-    ("Category Twos and Threes", 7, 2): {0: 1605, 6: 62574, 10: 35821},
-    ("Category Twos and Threes", 7, 3): {0: 471, 8: 59691, 12: 39838},
-    ("Category Twos and Threes", 7, 4): {0: 26620, 14: 73380},
-    ("Category Twos and Threes", 7, 5): {0: 17308, 11: 37515, 15: 45177},
-    ("Category Twos and Threes", 7, 6): {0: 30281, 17: 69719},
-    ("Category Twos and Threes", 7, 7): {0: 28433, 18: 71567},
-    ("Category Twos and Threes", 7, 8): {0: 13274, 18: 86726},
-    ("Category Twos and Threes", 8, 1): {0: 3799, 5: 56614, 8: 39587},
-    ("Category Twos and Threes", 8, 2): {0: 902, 7: 58003, 11: 41095},
-    ("Category Twos and Threes", 8, 3): {0: 29391, 14: 70609},
-    ("Category Twos and Threes", 8, 4): {0: 26041, 12: 40535, 16: 33424},
-    ("Category Twos and Threes", 8, 5): {0: 26328, 14: 38760, 18: 34912},
-    ("Category Twos and Threes", 8, 6): {0: 22646, 15: 45218, 19: 32136},
-    ("Category Twos and Threes", 8, 7): {0: 25908, 20: 74092},
-    ("Category Twos and Threes", 8, 8): {3: 18441, 17: 38826, 21: 42733},
-    ("Category Sum of Odds", 1, 1): {0: 66572, 5: 33428},
-    ("Category Sum of Odds", 1, 2): {0: 44489, 5: 55511},
-    ("Category Sum of Odds", 1, 3): {0: 37185, 5: 62815},
-    ("Category Sum of Odds", 1, 4): {0: 30917, 5: 69083},
-    ("Category Sum of Odds", 1, 5): {0: 41833, 5: 58167},
-    ("Category Sum of Odds", 1, 6): {0: 34902, 5: 65098},
-    ("Category Sum of Odds", 1, 7): {0: 29031, 5: 70969},
-    ("Category Sum of Odds", 1, 8): {0: 24051, 5: 75949},
-    ("Category Sum of Odds", 2, 1): {0: 66460, 5: 33540},
-    ("Category Sum of Odds", 2, 2): {0: 11216, 5: 65597, 8: 23187},
-    ("Category Sum of Odds", 2, 3): {0: 30785, 8: 69215},
-    ("Category Sum of Odds", 2, 4): {0: 21441, 10: 78559},
-    ("Category Sum of Odds", 2, 5): {0: 14948, 10: 85052},
-    ("Category Sum of Odds", 2, 6): {0: 4657, 3: 35569, 10: 59774},
-    ("Category Sum of Odds", 2, 7): {0: 7262, 5: 42684, 10: 50054},
-    ("Category Sum of Odds", 2, 8): {0: 4950, 5: 37432, 10: 57618},
-    ("Category Sum of Odds", 3, 1): {0: 29203, 6: 70797},
-    ("Category Sum of Odds", 3, 2): {0: 34454, 9: 65546},
-    ("Category Sum of Odds", 3, 3): {0: 5022, 3: 32067, 8: 45663, 13: 17248},
-    ("Category Sum of Odds", 3, 4): {0: 6138, 4: 33396, 13: 60466},
-    ("Category Sum of Odds", 3, 5): {0: 29405, 15: 70595},
-    ("Category Sum of Odds", 3, 6): {0: 21390, 15: 78610},
-    ("Category Sum of Odds", 3, 7): {0: 8991, 8: 38279, 15: 52730},
-    ("Category Sum of Odds", 3, 8): {0: 6340, 8: 34003, 15: 59657},
-    ("Category Sum of Odds", 4, 1): {0: 28095, 4: 38198, 8: 33707},
-    ("Category Sum of Odds", 4, 2): {0: 27003, 11: 72997},
-    ("Category Sum of Odds", 4, 3): {0: 18712, 8: 40563, 13: 40725},
-    ("Category Sum of Odds", 4, 4): {0: 30691, 15: 69309},
-    ("Category Sum of Odds", 4, 5): {0: 433, 3: 32140, 13: 43150, 18: 24277},
-    ("Category Sum of Odds", 4, 6): {0: 6549, 9: 32451, 15: 43220, 20: 17780},
-    ("Category Sum of Odds", 4, 7): {0: 29215, 15: 45491, 20: 25294},
-    ("Category Sum of Odds", 4, 8): {0: 11807, 13: 38927, 20: 49266},
-    ("Category Sum of Odds", 5, 1): {0: 25139, 9: 74861},
-    ("Category Sum of Odds", 5, 2): {0: 25110, 9: 40175, 14: 34715},
-    ("Category Sum of Odds", 5, 3): {0: 23453, 11: 37756, 16: 38791},
-    ("Category Sum of Odds", 5, 4): {0: 22993, 13: 37263, 18: 39744},
-    ("Category Sum of Odds", 5, 5): {0: 25501, 15: 38407, 20: 36092},
-    ("Category Sum of Odds", 5, 6): {0: 2542, 10: 32537, 18: 41122, 23: 23799},
-    ("Category Sum of Odds", 5, 7): {0: 8228, 14: 32413, 20: 41289, 25: 18070},
-    ("Category Sum of Odds", 5, 8): {0: 2, 2: 31173, 20: 43652, 25: 25173},
-    ("Category Sum of Odds", 6, 1): {0: 23822, 6: 40166, 11: 36012},
-    ("Category Sum of Odds", 6, 2): {0: 24182, 11: 37137, 16: 38681},
-    ("Category Sum of Odds", 6, 3): {0: 27005, 14: 35759, 19: 37236},
-    ("Category Sum of Odds", 6, 4): {0: 25133, 16: 35011, 21: 39856},
-    ("Category Sum of Odds", 6, 5): {0: 24201, 18: 34934, 23: 40865},
-    ("Category Sum of Odds", 6, 6): {0: 12978, 17: 32943, 23: 36836, 28: 17243},
-    ("Category Sum of Odds", 6, 7): {0: 2314, 14: 32834, 23: 40134, 28: 24718},
-    ("Category Sum of Odds", 6, 8): {0: 5464, 18: 34562, 25: 40735, 30: 19239},
-    ("Category Sum of Odds", 7, 1): {0: 29329, 8: 37697, 13: 32974},
-    ("Category Sum of Odds", 7, 2): {0: 29935, 14: 34878, 19: 35187},
-    ("Category Sum of Odds", 7, 3): {0: 30638, 17: 33733, 22: 35629},
-    ("Category Sum of Odds", 7, 4): {0: 163, 6: 32024, 20: 33870, 25: 33943},
-    ("Category Sum of Odds", 7, 5): {0: 31200, 22: 35565, 27: 33235},
-    ("Category Sum of Odds", 7, 6): {2: 30174, 24: 36670, 29: 33156},
-    ("Category Sum of Odds", 7, 7): {4: 8712, 21: 35208, 28: 36799, 33: 19281},
-    ("Category Sum of Odds", 7, 8): {0: 1447, 18: 32027, 28: 39941, 33: 26585},
-    ("Category Sum of Odds", 8, 1): {0: 26931, 9: 35423, 14: 37646},
-    ("Category Sum of Odds", 8, 2): {0: 29521, 16: 32919, 21: 37560},
-    ("Category Sum of Odds", 8, 3): {0: 412, 7: 32219, 20: 32055, 25: 35314},
-    ("Category Sum of Odds", 8, 4): {1: 27021, 22: 36376, 28: 36603},
-    ("Category Sum of Odds", 8, 5): {1: 1069, 14: 32451, 26: 32884, 31: 33596},
-    ("Category Sum of Odds", 8, 6): {4: 31598, 28: 33454, 33: 34948},
-    ("Category Sum of Odds", 8, 7): {6: 27327, 29: 35647, 34: 37026},
-    ("Category Sum of Odds", 8, 8): {4: 1, 26: 40489, 33: 37825, 38: 21685},
-    ("Category Sum of Evens", 1, 1): {0: 49585, 6: 50415},
-    ("Category Sum of Evens", 1, 2): {0: 44331, 6: 55669},
-    ("Category Sum of Evens", 1, 3): {0: 29576, 6: 70424},
-    ("Category Sum of Evens", 1, 4): {0: 24744, 6: 75256},
-    ("Category Sum of Evens", 1, 5): {0: 20574, 6: 79426},
-    ("Category Sum of Evens", 1, 6): {0: 17182, 6: 82818},
-    ("Category Sum of Evens", 1, 7): {0: 14152, 6: 85848},
-    ("Category Sum of Evens", 1, 8): {0: 8911, 6: 91089},
-    ("Category Sum of Evens", 2, 1): {0: 25229, 8: 74771},
-    ("Category Sum of Evens", 2, 2): {0: 18682, 6: 58078, 10: 23240},
-    ("Category Sum of Evens", 2, 3): {0: 8099, 10: 91901},
-    ("Category Sum of Evens", 2, 4): {0: 16906, 12: 83094},
-    ("Category Sum of Evens", 2, 5): {0: 11901, 12: 88099},
-    ("Category Sum of Evens", 2, 6): {0: 8054, 12: 91946},
-    ("Category Sum of Evens", 2, 7): {0: 5695, 12: 94305},
-    ("Category Sum of Evens", 2, 8): {0: 3950, 12: 96050},
-    ("Category Sum of Evens", 3, 1): {0: 25054, 6: 51545, 10: 23401},
-    ("Category Sum of Evens", 3, 2): {0: 17863, 10: 64652, 14: 17485},
-    ("Category Sum of Evens", 3, 3): {0: 7748, 12: 75072, 16: 17180},
-    ("Category Sum of Evens", 3, 4): {0: 1318, 12: 70339, 16: 28343},
-    ("Category Sum of Evens", 3, 5): {0: 7680, 12: 53582, 18: 38738},
-    ("Category Sum of Evens", 3, 6): {0: 1475, 12: 50152, 18: 48373},
-    ("Category Sum of Evens", 3, 7): {0: 14328, 18: 85672},
-    ("Category Sum of Evens", 3, 8): {0: 10001, 18: 89999},
-    ("Category Sum of Evens", 4, 1): {0: 6214, 8: 67940, 12: 25846},
-    ("Category Sum of Evens", 4, 2): {0: 16230, 12: 55675, 16: 28095},
-    ("Category Sum of Evens", 4, 3): {0: 11069, 16: 70703, 20: 18228},
-    ("Category Sum of Evens", 4, 4): {0: 13339, 20: 86661},
-    ("Category Sum of Evens", 4, 5): {0: 8193, 18: 66423, 22: 25384},
-    ("Category Sum of Evens", 4, 6): {0: 11127, 18: 53742, 22: 35131},
-    ("Category Sum of Evens", 4, 7): {0: 7585, 18: 48073, 24: 44342},
-    ("Category Sum of Evens", 4, 8): {0: 642, 18: 46588, 24: 52770},
-    ("Category Sum of Evens", 5, 1): {0: 8373, 8: 50641, 16: 40986},
-    ("Category Sum of Evens", 5, 2): {0: 7271, 12: 42254, 20: 50475},
-    ("Category Sum of Evens", 5, 3): {0: 8350, 16: 44711, 24: 46939},
-    ("Category Sum of Evens", 5, 4): {0: 8161, 18: 44426, 26: 47413},
-    ("Category Sum of Evens", 5, 5): {0: 350, 8: 16033, 24: 67192, 28: 16425},
-    ("Category Sum of Evens", 5, 6): {0: 10318, 24: 64804, 28: 24878},
-    ("Category Sum of Evens", 5, 7): {0: 12783, 24: 52804, 28: 34413},
-    ("Category Sum of Evens", 5, 8): {0: 1, 24: 56646, 30: 43353},
-    ("Category Sum of Evens", 6, 1): {0: 10482, 10: 48137, 18: 41381},
-    ("Category Sum of Evens", 6, 2): {0: 12446, 16: 43676, 24: 43878},
-    ("Category Sum of Evens", 6, 3): {0: 11037, 20: 44249, 28: 44714},
-    ("Category Sum of Evens", 6, 4): {0: 10005, 22: 42316, 30: 47679},
-    ("Category Sum of Evens", 6, 5): {0: 9751, 24: 42204, 32: 48045},
-    ("Category Sum of Evens", 6, 6): {0: 9692, 26: 45108, 34: 45200},
-    ("Category Sum of Evens", 6, 7): {4: 1437, 26: 42351, 34: 56212},
-    ("Category Sum of Evens", 6, 8): {4: 13017, 30: 51814, 36: 35169},
-    ("Category Sum of Evens", 7, 1): {0: 12688, 12: 45275, 20: 42037},
-    ("Category Sum of Evens", 7, 2): {0: 1433, 20: 60350, 28: 38217},
-    ("Category Sum of Evens", 7, 3): {0: 13724, 24: 43514, 32: 42762},
-    ("Category Sum of Evens", 7, 4): {0: 11285, 26: 40694, 34: 48021},
-    ("Category Sum of Evens", 7, 5): {4: 5699, 28: 43740, 36: 50561},
-    ("Category Sum of Evens", 7, 6): {4: 5478, 30: 43711, 38: 50811},
-    ("Category Sum of Evens", 7, 7): {6: 9399, 32: 43251, 40: 47350},
-    ("Category Sum of Evens", 7, 8): {10: 1490, 32: 40719, 40: 57791},
-    ("Category Sum of Evens", 8, 1): {0: 14585, 14: 42804, 22: 42611},
-    ("Category Sum of Evens", 8, 2): {0: 15891, 22: 39707, 30: 44402},
-    ("Category Sum of Evens", 8, 3): {2: 297, 12: 16199, 28: 42274, 36: 41230},
-    ("Category Sum of Evens", 8, 4): {0: 7625, 30: 43948, 38: 48427},
-    ("Category Sum of Evens", 8, 5): {4: 413, 18: 16209, 34: 43301, 42: 40077},
-    ("Category Sum of Evens", 8, 6): {6: 14927, 36: 43139, 44: 41934},
-    ("Category Sum of Evens", 8, 7): {8: 5042, 36: 40440, 44: 54518},
-    ("Category Sum of Evens", 8, 8): {10: 5005, 38: 44269, 46: 50726},
-    ("Category Double Threes and Fours", 1, 1): {0: 66749, 8: 33251},
-    ("Category Double Threes and Fours", 1, 2): {0: 44675, 8: 55325},
-    ("Category Double Threes and Fours", 1, 3): {0: 29592, 8: 70408},
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-    ("Category Double Threes and Fours", 1, 5): {0: 20499, 8: 79501},
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+    ("Category Sum of Evens", 1, 1): {0: 66318, 4: 33682},
+    ("Category Sum of Evens", 1, 2): {0: 44331, 4: 55669},
+    ("Category Sum of Evens", 1, 3): {0: 29576, 4: 35040, 6: 35384},
+    ("Category Sum of Evens", 1, 4): {0: 22612, 6: 77388},
+    ("Category Sum of Evens", 1, 5): {0: 3566, 6: 96434},
+    ("Category Sum of Evens", 1, 6): {0: 209, 6: 99791},
+    ("Category Sum of Evens", 1, 7): {0: 3, 6: 99997},
+    ("Category Sum of Evens", 1, 8): {6: 100000},
+    ("Category Sum of Evens", 2, 1): {0: 25229, 2: 36083, 6: 38688},
+    ("Category Sum of Evens", 2, 2): {0: 57, 4: 38346, 8: 37232, 2: 81, 6: 24284},
+    ("Category Sum of Evens", 2, 3): {6: 39504, 10: 37060, 4: 1, 8: 23435},
+    ("Category Sum of Evens", 2, 4): {10: 99495, 6: 317, 8: 188},
+    ("Category Sum of Evens", 2, 5): {10: 69597, 12: 30403},
+    ("Category Sum of Evens", 2, 6): {12: 98377, 10: 1623},
+    ("Category Sum of Evens", 2, 7): {12: 100000},
+    ("Category Sum of Evens", 2, 8): {12: 100000},
+    ("Category Sum of Evens", 3, 1): {0: 76, 4: 38332, 8: 37178, 2: 109, 6: 24305},
+    ("Category Sum of Evens", 3, 2): {8: 67248, 12: 32556, 4: 196},
+    ("Category Sum of Evens", 3, 3): {10: 44843, 14: 33195, 8: 213, 12: 21749},
+    ("Category Sum of Evens", 3, 4): {10: 37288, 14: 62712},
+    ("Category Sum of Evens", 3, 5): {14: 61196, 16: 38802, 10: 2},
+    ("Category Sum of Evens", 3, 6): {16: 99621, 14: 379},
+    ("Category Sum of Evens", 3, 7): {16: 67674, 18: 32326},
+    ("Category Sum of Evens", 3, 8): {18: 100000},
+    ("Category Sum of Evens", 4, 1): {6: 37636, 10: 40039, 4: 32, 8: 22293},
+    ("Category Sum of Evens", 4, 2): {10: 57689, 14: 42258, 6: 53},
+    ("Category Sum of Evens", 4, 3): {14: 67801, 18: 32152, 10: 47},
+    ("Category Sum of Evens", 4, 4): {18: 98878, 14: 1122},
+    ("Category Sum of Evens", 4, 5): {18: 60401, 20: 39599},
+    ("Category Sum of Evens", 4, 6): {20: 64396, 22: 35186, 18: 418},
+    ("Category Sum of Evens", 4, 7): {22: 99697, 20: 302, 18: 1},
+    ("Category Sum of Evens", 4, 8): {22: 100000},
+    ("Category Sum of Evens", 5, 1): {8: 35338, 12: 41027, 6: 22, 10: 23613},
+    ("Category Sum of Evens", 5, 2): {12: 37027, 18: 35856, 10: 10, 14: 27107},
+    ("Category Sum of Evens", 5, 3): {18: 68230, 22: 31735, 14: 35},
+    ("Category Sum of Evens", 5, 4): {18: 14880, 22: 53608, 24: 31512},
+    ("Category Sum of Evens", 5, 5): {24: 98732, 18: 275, 22: 993},
+    ("Category Sum of Evens", 5, 6): {24: 61498, 26: 38502},
+    ("Category Sum of Evens", 5, 7): {26: 65201, 28: 34488, 24: 311},
+    ("Category Sum of Evens", 5, 8): {28: 99648, 26: 351, 24: 1},
+    ("Category Sum of Evens", 6, 1): {10: 34538, 14: 41426, 8: 4, 12: 24032},
+    ("Category Sum of Evens", 6, 2): {16: 43552, 22: 31546, 14: 235, 12: 121, 18: 24546},
+    ("Category Sum of Evens", 6, 3): {22: 68714, 26: 31239, 18: 47},
+    ("Category Sum of Evens", 6, 4): {26: 59168, 28: 33835, 22: 4791, 18: 1, 24: 2205},
+    ("Category Sum of Evens", 6, 5): {26: 44386, 30: 32920, 28: 22694},
+    ("Category Sum of Evens", 6, 6): {30: 98992, 26: 667, 28: 341},
+    ("Category Sum of Evens", 6, 7): {30: 60806, 32: 39194},
+    ("Category Sum of Evens", 6, 8): {32: 64584, 34: 35252, 30: 164},
+    ("Category Sum of Evens", 7, 1): {12: 40703, 18: 30507, 10: 1, 14: 28789},
+    ("Category Sum of Evens", 7, 2): {22: 60249, 24: 38366, 12: 1, 18: 767, 16: 614, 14: 3},
+    ("Category Sum of Evens", 7, 3): {24: 47964, 30: 30240, 22: 4, 26: 21792},
+    ("Category Sum of Evens", 7, 4): {30: 63108, 32: 35114, 24: 1778},
+    ("Category Sum of Evens", 7, 5): {32: 62062, 34: 37406, 30: 523, 26: 6, 28: 3},
+    ("Category Sum of Evens", 7, 6): {32: 40371, 36: 35507, 34: 24122},
+    ("Category Sum of Evens", 7, 7): {34: 44013, 38: 31749, 32: 4, 36: 24234},
+    ("Category Sum of Evens", 7, 8): {38: 99116, 34: 570, 36: 314},
+    ("Category Sum of Evens", 8, 1): {18: 66673, 20: 31528, 12: 1054, 14: 745},
+    ("Category Sum of Evens", 8, 2): {22: 40918, 28: 33610, 24: 25472},
+    ("Category Sum of Evens", 8, 3): {28: 40893, 32: 41346, 24: 17, 30: 17737, 26: 7},
+    ("Category Sum of Evens", 8, 4): {32: 63665, 36: 36316, 28: 19},
+    ("Category Sum of Evens", 8, 5): {36: 58736, 38: 40234, 32: 1030},
+    ("Category Sum of Evens", 8, 6): {36: 57946, 40: 42054},
+    ("Category Sum of Evens", 8, 7): {38: 34984, 42: 39622, 36: 2, 40: 25392},
+    ("Category Sum of Evens", 8, 8): {42: 65137, 44: 34611, 38: 146, 40: 106},
+    ("Category Double Threes and Fours", 1, 1): {0: 66749, 6: 33251},
+    ("Category Double Threes and Fours", 1, 2): {0: 44675, 6: 55325},
+    ("Category Double Threes and Fours", 1, 3): {0: 29592, 6: 35261, 8: 35147},
+    ("Category Double Threes and Fours", 1, 4): {0: 24601, 6: 29406, 8: 45993},
+    ("Category Double Threes and Fours", 1, 5): {0: 20499, 6: 24420, 8: 55081},
+    ("Category Double Threes and Fours", 1, 6): {0: 17116, 6: 20227, 8: 62657},
+    ("Category Double Threes and Fours", 1, 7): {0: 14193, 6: 17060, 8: 68747},
+    ("Category Double Threes and Fours", 1, 8): {0: 11977, 6: 13924, 8: 74099},
+    ("Category Double Threes and Fours", 2, 1): {0: 44382, 6: 22191, 8: 33427},
+    ("Category Double Threes and Fours", 2, 2): {0: 5, 6: 46088, 12: 30763, 8: 23144},
+    ("Category Double Threes and Fours", 2, 3): {0: 5, 6: 30159, 12: 32725, 14: 37111},
+    ("Category Double Threes and Fours", 2, 4): {6: 20533, 14: 79467},
+    ("Category Double Threes and Fours", 2, 5): {14: 69789, 16: 30211},
+    ("Category Double Threes and Fours", 2, 6): {16: 99978, 14: 22},
+    ("Category Double Threes and Fours", 2, 7): {16: 100000},
+    ("Category Double Threes and Fours", 2, 8): {16: 100000},
+    ("Category Double Threes and Fours", 3, 1): {0: 8, 6: 49139, 12: 26176, 8: 24677},
+    ("Category Double Threes and Fours", 3, 2): {0: 5, 6: 24942, 12: 27065, 14: 47988},
+    ("Category Double Threes and Fours", 3, 3): {6: 12743, 14: 56776, 20: 30481},
+    ("Category Double Threes and Fours", 3, 4): {14: 9753, 20: 90247},
+    ("Category Double Threes and Fours", 3, 5): {20: 61293, 22: 38707},
+    ("Category Double Threes and Fours", 3, 6): {22: 99615, 20: 385},
+    ("Category Double Threes and Fours", 3, 7): {22: 67267, 24: 32733},
+    ("Category Double Threes and Fours", 3, 8): {24: 100000},
+    ("Category Double Threes and Fours", 4, 1): {6: 26819, 12: 39789, 14: 33392},
+    ("Category Double Threes and Fours", 4, 2): {14: 63726, 20: 36011, 6: 106, 12: 157},
+    ("Category Double Threes and Fours", 4, 3): {20: 69628, 24: 30158, 14: 214},
+    ("Category Double Threes and Fours", 4, 4): {20: 11409, 24: 57067, 26: 31524},
+    ("Category Double Threes and Fours", 4, 5): {20: 6566, 26: 57047, 28: 36387},
+    ("Category Double Threes and Fours", 4, 6): {28: 63694, 30: 35203, 20: 113, 26: 990},
+    ("Category Double Threes and Fours", 4, 7): {30: 98893, 28: 1092, 26: 15},
+    ("Category Double Threes and Fours", 4, 8): {30: 100000},
+    ("Category Double Threes and Fours", 5, 1): {6: 16042, 14: 83958},
+    ("Category Double Threes and Fours", 5, 2): {14: 44329, 20: 24912, 24: 30759},
+    ("Category Double Threes and Fours", 5, 3): {24: 57603, 28: 42155, 20: 242},
+    ("Category Double Threes and Fours", 5, 4): {26: 32446, 30: 43875, 24: 21, 28: 23658},
+    ("Category Double Threes and Fours", 5, 5): {30: 69209, 34: 30672, 26: 69, 28: 50},
+    ("Category Double Threes and Fours", 5, 6): {34: 63882, 36: 35323, 30: 795},
+    ("Category Double Threes and Fours", 5, 7): {36: 65178, 38: 34598, 34: 222, 30: 2},
+    ("Category Double Threes and Fours", 5, 8): {38: 99654, 36: 345, 34: 1},
+    ("Category Double Threes and Fours", 6, 1): {14: 68079, 18: 31921},
+    ("Category Double Threes and Fours", 6, 2): {14: 14542, 24: 48679, 28: 36779},
+    ("Category Double Threes and Fours", 6, 3): {28: 62757, 34: 36962, 24: 281},
+    ("Category Double Threes and Fours", 6, 4): {34: 68150, 38: 30771, 28: 604, 26: 1, 30: 474},
+    ("Category Double Threes and Fours", 6, 5): {38: 68332, 40: 30833, 34: 823, 28: 12},
+    ("Category Double Threes and Fours", 6, 6): {40: 67631, 42: 31174, 38: 1181, 34: 14},
+    ("Category Double Threes and Fours", 6, 7): {42: 63245, 44: 35699, 40: 1038, 38: 18},
+    ("Category Double Threes and Fours", 6, 8): {44: 64056, 46: 35162, 42: 770, 40: 12},
+    ("Category Double Threes and Fours", 7, 1): {14: 14976, 18: 54685, 22: 30339},
+    ("Category Double Threes and Fours", 7, 2): {14: 10532, 28: 55372, 32: 34096},
+    ("Category Double Threes and Fours", 7, 3): {32: 42786, 40: 32123, 28: 2, 34: 25089},
+    ("Category Double Threes and Fours", 7, 4): {38: 46172, 44: 31648, 32: 226, 40: 21954},
+    ("Category Double Threes and Fours", 7, 5): {44: 64883, 46: 34437, 38: 460, 32: 2, 40: 218},
+    ("Category Double Threes and Fours", 7, 6): {44: 43458, 48: 33715, 46: 22827},
+    ("Category Double Threes and Fours", 7, 7): {46: 44472, 50: 32885, 44: 15, 48: 22628},
+    ("Category Double Threes and Fours", 7, 8): {48: 41682, 52: 37868, 46: 18, 50: 20432},
+    ("Category Double Threes and Fours", 8, 1): {14: 14227, 22: 85773},
+    ("Category Double Threes and Fours", 8, 2): {22: 7990, 32: 56319, 36: 35691},
+    ("Category Double Threes and Fours", 8, 3): {32: 19914, 40: 43585, 44: 36501},
+    ("Category Double Threes and Fours", 8, 4): {44: 63232, 48: 36613, 32: 48, 40: 107},
+    ("Category Double Threes and Fours", 8, 5): {48: 62939, 52: 36798, 44: 263},
+    ("Category Double Threes and Fours", 8, 6): {52: 60756, 54: 38851, 48: 392, 44: 1},
+    ("Category Double Threes and Fours", 8, 7): {54: 62281, 56: 37262, 52: 455, 48: 2},
+    ("Category Double Threes and Fours", 8, 8): {56: 67295, 60: 32064, 54: 637, 52: 4},
+    ("Category Quadruple Ones and Twos", 1, 1): {0: 66567, 4: 16803, 8: 16630},
+    ("Category Quadruple Ones and Twos", 1, 2): {0: 44809, 4: 27448, 8: 27743},
+    ("Category Quadruple Ones and Twos", 1, 3): {0: 37100, 4: 23184, 8: 39716},
+    ("Category Quadruple Ones and Twos", 1, 4): {0: 30963, 4: 19221, 8: 49816},
+    ("Category Quadruple Ones and Twos", 1, 5): {0: 25316, 4: 16079, 8: 58605},
+    ("Category Quadruple Ones and Twos", 1, 6): {0: 14381, 8: 85619},
+    ("Category Quadruple Ones and Twos", 1, 7): {0: 4137, 8: 95863},
+    ("Category Quadruple Ones and Twos", 1, 8): {0: 1004, 8: 98996},
+    ("Category Quadruple Ones and Twos", 2, 1): {0: 44566, 4: 22273, 8: 33161},
+    ("Category Quadruple Ones and Twos", 2, 2): {0: 19963, 4: 24890, 8: 32262, 12: 22885},
+    ("Category Quadruple Ones and Twos", 2, 3): {0: 13766, 4: 17158, 8: 34907, 12: 18539, 16: 15630},
+    ("Category Quadruple Ones and Twos", 2, 4): {0: 6655, 8: 30200, 12: 26499, 16: 36646},
+    ("Category Quadruple Ones and Twos", 2, 5): {0: 982, 8: 16426, 12: 24307, 16: 58285},
+    ("Category Quadruple Ones and Twos", 2, 6): {0: 68, 8: 9887, 16: 90045},
+    ("Category Quadruple Ones and Twos", 2, 7): {0: 11, 16: 99989},
+    ("Category Quadruple Ones and Twos", 2, 8): {16: 100000},
+    ("Category Quadruple Ones and Twos", 3, 1): {0: 29440, 4: 22574, 8: 27747, 12: 20239},
+    ("Category Quadruple Ones and Twos", 3, 2): {0: 8857, 4: 16295, 8: 26434, 12: 22986, 16: 25428},
+    ("Category Quadruple Ones and Twos", 3, 3): {0: 3649, 8: 15314, 12: 24619, 16: 38944, 20: 17474},
+    ("Category Quadruple Ones and Twos", 3, 4): {0: 11, 8: 8430, 16: 41259, 20: 50300},
+    ("Category Quadruple Ones and Twos", 3, 5): {20: 80030, 24: 19902, 8: 11, 16: 57},
+    ("Category Quadruple Ones and Twos", 3, 6): {20: 23895, 24: 76105},
+    ("Category Quadruple Ones and Twos", 3, 7): {24: 100000},
+    ("Category Quadruple Ones and Twos", 3, 8): {24: 100000},
+    ("Category Quadruple Ones and Twos", 4, 1): {0: 19691, 4: 19657, 8: 27288, 12: 16126, 16: 17238},
+    ("Category Quadruple Ones and Twos", 4, 2): {0: 1222, 4: 15703, 12: 24015, 16: 34944, 20: 24116},
+    ("Category Quadruple Ones and Twos", 4, 3): {0: 227, 12: 14519, 20: 62257, 24: 22997},
+    ("Category Quadruple Ones and Twos", 4, 4): {0: 11, 20: 17266, 24: 67114, 28: 15609},
+    ("Category Quadruple Ones and Twos", 4, 5): {24: 27365, 28: 72632, 20: 3},
+    ("Category Quadruple Ones and Twos", 4, 6): {28: 81782, 32: 18215, 24: 3},
+    ("Category Quadruple Ones and Twos", 4, 7): {28: 22319, 32: 77681},
+    ("Category Quadruple Ones and Twos", 4, 8): {32: 100000},
+    ("Category Quadruple Ones and Twos", 5, 1): {0: 13112, 4: 16534, 8: 24718, 12: 18558, 16: 27078},
+    ("Category Quadruple Ones and Twos", 5, 2): {0: 21, 4: 15200, 16: 28784, 20: 32131, 24: 23864},
+    ("Category Quadruple Ones and Twos", 5, 3): {0: 4, 16: 8475, 24: 66718, 28: 24803},
+    ("Category Quadruple Ones and Twos", 5, 4): {28: 76149, 32: 23289, 24: 550, 20: 12},
+    ("Category Quadruple Ones and Twos", 5, 5): {32: 81110, 36: 16222, 28: 2663, 24: 5},
+    ("Category Quadruple Ones and Twos", 5, 6): {32: 18542, 36: 81458},
+    ("Category Quadruple Ones and Twos", 5, 7): {36: 82036, 40: 17964},
+    ("Category Quadruple Ones and Twos", 5, 8): {36: 27864, 40: 72136},
+    ("Category Quadruple Ones and Twos", 6, 1): {0: 6419, 8: 16963, 12: 22116, 16: 33903, 20: 20599},
+    ("Category Quadruple Ones and Twos", 6, 2): {0: 5, 16: 8913, 24: 67749, 28: 23333},
+    ("Category Quadruple Ones and Twos", 6, 3): {28: 71779, 32: 27514, 16: 82, 24: 625},
+    ("Category Quadruple Ones and Twos", 6, 4): {32: 72333, 36: 27328, 28: 337, 24: 2},
+    ("Category Quadruple Ones and Twos", 6, 5): {36: 73993, 40: 25138, 32: 865, 28: 4},
+    ("Category Quadruple Ones and Twos", 6, 6): {40: 80918, 44: 17126, 36: 1934, 32: 22},
+    ("Category Quadruple Ones and Twos", 6, 7): {40: 20298, 44: 79702},
+    ("Category Quadruple Ones and Twos", 6, 8): {44: 81077, 48: 18923},
+    ("Category Quadruple Ones and Twos", 7, 1): {0: 508, 8: 10298, 16: 41828, 20: 30853, 24: 16513},
+    ("Category Quadruple Ones and Twos", 7, 2): {16: 7429, 28: 69817, 32: 22754},
+    ("Category Quadruple Ones and Twos", 7, 3): {32: 82871, 40: 16531, 16: 57, 28: 541},
+    ("Category Quadruple Ones and Twos", 7, 4): {36: 67601, 44: 17916, 32: 909, 40: 13569, 28: 5},
+    ("Category Quadruple Ones and Twos", 7, 5): {40: 67395, 48: 17447, 36: 364, 44: 14790, 32: 4},
+    ("Category Quadruple Ones and Twos", 7, 6): {48: 91242, 40: 7151, 36: 38, 44: 1569},
+    ("Category Quadruple Ones and Twos", 7, 7): {48: 80854, 52: 19146},
+    ("Category Quadruple Ones and Twos", 7, 8): {48: 25334, 52: 74666},
+    ("Category Quadruple Ones and Twos", 8, 1): {0: 119, 16: 17496, 20: 26705, 24: 55680},
+    ("Category Quadruple Ones and Twos", 8, 2): {24: 569, 32: 72257, 36: 21817, 28: 5357},
+    ("Category Quadruple Ones and Twos", 8, 3): {36: 66654, 44: 18473, 32: 1396, 40: 13477},
+    ("Category Quadruple Ones and Twos", 8, 4): {44: 73954, 48: 22240, 36: 3178, 40: 628},
+    ("Category Quadruple Ones and Twos", 8, 5): {48: 76082, 52: 22415, 44: 1500, 36: 3},
+    ("Category Quadruple Ones and Twos", 8, 6): {52: 74901, 56: 21332, 48: 3766, 44: 1},
+    ("Category Quadruple Ones and Twos", 8, 7): {56: 96171, 52: 3640, 48: 189},
+    ("Category Quadruple Ones and Twos", 8, 8): {56: 78035, 60: 21965},
     ("Category Micro Straight", 1, 1): {0: 100000},
     ("Category Micro Straight", 1, 2): {0: 100000},
     ("Category Micro Straight", 1, 3): {0: 100000},
diff --git a/worlds/yachtdice/__init__.py b/worlds/yachtdice/__init__.py
index 75993fd3..7efb8f94 100644
--- a/worlds/yachtdice/__init__.py
+++ b/worlds/yachtdice/__init__.py
@@ -56,7 +56,7 @@ class YachtDiceWorld(World):
 
     item_name_groups = item_groups
 
-    ap_world_version = "2.1.3"
+    ap_world_version = "2.1.4"
 
     def _get_yachtdice_data(self):
         return {
@@ -468,7 +468,7 @@ class YachtDiceWorld(World):
         menu.exits.append(connection)
         connection.connect(board)
         self.multiworld.regions += [menu, board]
-        
+
     def get_filler_item_name(self) -> str:
         return "Good RNG"