diff --git a/worlds/yachtdice/Rules.py b/worlds/yachtdice/Rules.py
index 1db5cebc..d99f5b14 100644
--- a/worlds/yachtdice/Rules.py
+++ b/worlds/yachtdice/Rules.py
@@ -29,7 +29,7 @@ class Category:
         mean_score = 0
         for key, value in yacht_weights[self.name, min(8, num_dice), min(8, num_rolls)].items():
             mean_score += key * value / 100000
-        return mean_score * self.quantity
+        return mean_score
 
 
 class ListState:
diff --git a/worlds/yachtdice/YachtWeights.py b/worlds/yachtdice/YachtWeights.py
index ee387fdf..5f647f34 100644
--- a/worlds/yachtdice/YachtWeights.py
+++ b/worlds/yachtdice/YachtWeights.py
@@ -17,77 +17,77 @@ yacht_weights = {
     ("Category Ones", 0, 7): {0: 100000},
     ("Category Ones", 0, 8): {0: 100000},
     ("Category Ones", 1, 0): {0: 100000},
-    ("Category Ones", 1, 1): {0: 83416, 1: 16584},
-    ("Category Ones", 1, 2): {0: 69346, 1: 30654},
-    ("Category Ones", 1, 3): {0: 57756, 1: 42244},
-    ("Category Ones", 1, 4): {0: 48709, 1: 51291},
-    ("Category Ones", 1, 5): {0: 40214, 1: 59786},
+    ("Category Ones", 1, 1): {0: 100000},
+    ("Category Ones", 1, 2): {0: 100000},
+    ("Category Ones", 1, 3): {0: 100000},
+    ("Category Ones", 1, 4): {0: 100000},
+    ("Category Ones", 1, 5): {0: 100000},
     ("Category Ones", 1, 6): {0: 33491, 1: 66509},
     ("Category Ones", 1, 7): {0: 27838, 1: 72162},
     ("Category Ones", 1, 8): {0: 23094, 1: 76906},
     ("Category Ones", 2, 0): {0: 100000},
-    ("Category Ones", 2, 1): {0: 69715, 1: 30285},
-    ("Category Ones", 2, 2): {0: 48066, 1: 51934},
-    ("Category Ones", 2, 3): {0: 33544, 1: 48585, 2: 17871},
-    ("Category Ones", 2, 4): {0: 23342, 1: 50092, 2: 26566},
-    ("Category Ones", 2, 5): {0: 16036, 1: 48250, 2: 35714},
-    ("Category Ones", 2, 6): {0: 11355, 1: 44545, 2: 44100},
-    ("Category Ones", 2, 7): {0: 7812, 1: 40248, 2: 51940},
-    ("Category Ones", 2, 8): {0: 5395, 1: 35484, 2: 59121},
+    ("Category Ones", 2, 1): {0: 100000},
+    ("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", 3, 0): {0: 100000},
-    ("Category Ones", 3, 1): {0: 57462, 1: 42538},
-    ("Category Ones", 3, 2): {0: 33327, 1: 44253, 2: 22420},
-    ("Category Ones", 3, 3): {0: 19432, 1: 42237, 2: 38331},
-    ("Category Ones", 3, 4): {0: 11191, 1: 36208, 2: 38606, 3: 13995},
-    ("Category Ones", 3, 5): {0: 6536, 1: 28891, 2: 43130, 3: 21443},
-    ("Category Ones", 3, 6): {0: 3697, 1: 22501, 2: 44196, 3: 29606},
-    ("Category Ones", 3, 7): {0: 2134, 2: 60499, 3: 37367},
-    ("Category Ones", 3, 8): {0: 1280, 2: 53518, 3: 45202},
+    ("Category Ones", 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", 4, 0): {0: 100000},
-    ("Category Ones", 4, 1): {0: 48178, 1: 38635, 2: 13187},
-    ("Category Ones", 4, 2): {0: 23349, 1: 40775, 2: 35876},
-    ("Category Ones", 4, 3): {0: 11366, 1: 32547, 2: 35556, 3: 20531},
-    ("Category Ones", 4, 4): {0: 5331, 1: 23241, 2: 37271, 3: 34157},
-    ("Category Ones", 4, 5): {0: 2640, 2: 49872, 3: 47488},
-    ("Category Ones", 4, 6): {0: 1253, 2: 39816, 3: 39298, 4: 19633},
-    ("Category Ones", 4, 7): {0: 6915, 2: 24313, 3: 41680, 4: 27092},
-    ("Category Ones", 4, 8): {0: 4228, 3: 61312, 4: 34460},
+    ("Category Ones", 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", 5, 0): {0: 100000},
-    ("Category Ones", 5, 1): {0: 40042, 1: 40202, 2: 19756},
-    ("Category Ones", 5, 2): {0: 16212, 1: 35432, 2: 31231, 3: 17125},
-    ("Category Ones", 5, 3): {0: 6556, 1: 23548, 2: 34509, 3: 35387},
-    ("Category Ones", 5, 4): {0: 2552, 2: 44333, 3: 32048, 4: 21067},
-    ("Category Ones", 5, 5): {0: 8783, 2: 23245, 3: 34614, 4: 33358},
-    ("Category Ones", 5, 6): {0: 4513, 3: 49603, 4: 32816, 5: 13068},
-    ("Category Ones", 5, 7): {0: 2295, 3: 40470, 4: 37869, 5: 19366},
-    ("Category Ones", 5, 8): {0: 73, 3: 33115, 4: 40166, 5: 26646},
+    ("Category Ones", 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", 6, 0): {0: 100000},
-    ("Category Ones", 6, 1): {0: 33501, 1: 40042, 2: 26457},
-    ("Category Ones", 6, 2): {0: 11326, 1: 29379, 2: 32368, 3: 26927},
-    ("Category Ones", 6, 3): {0: 3764, 2: 46660, 3: 28928, 4: 20648},
-    ("Category Ones", 6, 4): {0: 1231, 2: 29883, 3: 31038, 4: 37848},
-    ("Category Ones", 6, 5): {0: 4208, 3: 41897, 4: 30878, 5: 23017},
-    ("Category Ones", 6, 6): {0: 1850, 3: 30396, 4: 33022, 5: 34732},
-    ("Category Ones", 6, 7): {0: 5503, 4: 48099, 5: 32432, 6: 13966},
-    ("Category Ones", 6, 8): {0: 2896, 4: 39616, 5: 37005, 6: 20483},
+    ("Category Ones", 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", 7, 0): {0: 100000},
-    ("Category Ones", 7, 1): {0: 27838, 1: 39224, 2: 32938},
-    ("Category Ones", 7, 2): {0: 7796, 1: 23850, 2: 31678, 3: 23224, 4: 13452},
-    ("Category Ones", 7, 3): {0: 2247, 2: 35459, 3: 29131, 4: 33163},
-    ("Category Ones", 7, 4): {0: 5252, 3: 41207, 4: 28065, 5: 25476},
-    ("Category Ones", 7, 5): {0: 174, 3: 29347, 4: 28867, 5: 26190, 6: 15422},
-    ("Category Ones", 7, 6): {0: 4625, 4: 38568, 5: 30596, 6: 26211},
-    ("Category Ones", 7, 7): {0: 230, 4: 30109, 5: 32077, 6: 37584},
-    ("Category Ones", 7, 8): {0: 5519, 5: 45718, 6: 33357, 7: 15406},
+    ("Category Ones", 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", 8, 0): {0: 100000},
-    ("Category Ones", 8, 1): {0: 23156, 1: 37295, 2: 26136, 3: 13413},
-    ("Category Ones", 8, 2): {0: 5472, 2: 48372, 3: 25847, 4: 20309},
-    ("Category Ones", 8, 3): {0: 8661, 3: 45896, 4: 24664, 5: 20779},
-    ("Category Ones", 8, 4): {0: 2807, 3: 29707, 4: 27157, 5: 23430, 6: 16899},
-    ("Category Ones", 8, 5): {0: 5173, 4: 36033, 5: 27792, 6: 31002},
-    ("Category Ones", 8, 6): {0: 255, 4: 25642, 5: 27508, 6: 27112, 7: 19483},
-    ("Category Ones", 8, 7): {0: 4236, 5: 35323, 6: 30438, 7: 30003},
-    ("Category Ones", 8, 8): {0: 310, 5: 27692, 6: 30830, 7: 41168},
+    ("Category 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 Twos", 0, 0): {0: 100000},
     ("Category Twos", 0, 1): {0: 100000},
     ("Category Twos", 0, 2): {0: 100000},
@@ -98,8 +98,8 @@ yacht_weights = {
     ("Category Twos", 0, 7): {0: 100000},
     ("Category Twos", 0, 8): {0: 100000},
     ("Category Twos", 1, 0): {0: 100000},
-    ("Category Twos", 1, 1): {0: 83475, 2: 16525},
-    ("Category Twos", 1, 2): {0: 69690, 2: 30310},
+    ("Category Twos", 1, 1): {0: 100000},
+    ("Category Twos", 1, 2): {0: 100000},
     ("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 +107,68 @@ 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: 69724, 2: 30276},
-    ("Category Twos", 2, 2): {0: 48238, 2: 42479, 4: 9283},
-    ("Category Twos", 2, 3): {0: 33290, 2: 48819, 4: 17891},
-    ("Category Twos", 2, 4): {0: 23136, 2: 49957, 4: 26907},
-    ("Category Twos", 2, 5): {0: 16146, 2: 48200, 4: 35654},
-    ("Category Twos", 2, 6): {0: 11083, 2: 44497, 4: 44420},
-    ("Category Twos", 2, 7): {0: 7662, 2: 40343, 4: 51995},
-    ("Category Twos", 2, 8): {0: 5354, 2: 35526, 4: 59120},
+    ("Category Twos", 2, 1): {0: 100000},
+    ("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", 3, 0): {0: 100000},
-    ("Category Twos", 3, 1): {0: 58021, 2: 34522, 4: 7457},
-    ("Category Twos", 3, 2): {0: 33548, 2: 44261, 4: 22191},
-    ("Category Twos", 3, 3): {0: 19375, 2: 42372, 4: 30748, 6: 7505},
-    ("Category Twos", 3, 4): {0: 10998, 2: 36435, 4: 38569, 6: 13998},
-    ("Category Twos", 3, 5): {0: 6519, 2: 28838, 4: 43283, 6: 21360},
-    ("Category Twos", 3, 6): {0: 3619, 2: 22498, 4: 44233, 6: 29650},
-    ("Category Twos", 3, 7): {0: 2195, 2: 16979, 4: 43684, 6: 37142},
-    ("Category Twos", 3, 8): {0: 1255, 2: 12420, 4: 40920, 6: 45405},
+    ("Category Twos", 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", 4, 0): {0: 100000},
-    ("Category Twos", 4, 1): {0: 48235, 2: 38602, 4: 13163},
-    ("Category Twos", 4, 2): {0: 23289, 2: 40678, 4: 27102, 6: 8931},
-    ("Category Twos", 4, 3): {0: 11177, 2: 32677, 4: 35702, 6: 20444},
-    ("Category Twos", 4, 4): {0: 5499, 2: 23225, 4: 37240, 6: 26867, 8: 7169},
-    ("Category Twos", 4, 5): {0: 2574, 2: 15782, 4: 34605, 6: 34268, 8: 12771},
-    ("Category Twos", 4, 6): {0: 1259, 4: 39616, 6: 39523, 8: 19602},
-    ("Category Twos", 4, 7): {0: 622, 4: 30426, 6: 41894, 8: 27058},
-    ("Category Twos", 4, 8): {0: 4091, 4: 18855, 6: 42309, 8: 34745},
+    ("Category Twos", 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", 5, 0): {0: 100000},
-    ("Category Twos", 5, 1): {0: 40028, 2: 40241, 4: 19731},
-    ("Category Twos", 5, 2): {0: 16009, 2: 35901, 4: 31024, 6: 17066},
-    ("Category Twos", 5, 3): {0: 6489, 2: 23477, 4: 34349, 6: 25270, 8: 10415},
-    ("Category Twos", 5, 4): {0: 2658, 2: 14032, 4: 30199, 6: 32214, 8: 20897},
-    ("Category Twos", 5, 5): {0: 1032, 4: 31627, 6: 33993, 8: 25853, 10: 7495},
-    ("Category Twos", 5, 6): {0: 450, 4: 20693, 6: 32774, 8: 32900, 10: 13183},
-    ("Category Twos", 5, 7): {0: 2396, 4: 11231, 6: 29481, 8: 37636, 10: 19256},
-    ("Category Twos", 5, 8): {0: 1171, 6: 31564, 8: 40798, 10: 26467},
+    ("Category Twos", 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", 6, 0): {0: 100000},
-    ("Category Twos", 6, 1): {0: 33502, 2: 40413, 4: 26085},
-    ("Category Twos", 6, 2): {0: 11210, 2: 29638, 4: 32701, 6: 18988, 8: 7463},
-    ("Category Twos", 6, 3): {0: 3673, 2: 16459, 4: 29795, 6: 29102, 8: 20971},
-    ("Category Twos", 6, 4): {0: 1243, 4: 30025, 6: 31053, 8: 25066, 10: 12613},
-    ("Category Twos", 6, 5): {0: 4194, 4: 13949, 6: 28142, 8: 30723, 10: 22992},
-    ("Category Twos", 6, 6): {0: 1800, 6: 30677, 8: 32692, 10: 26213, 12: 8618},
-    ("Category Twos", 6, 7): {0: 775, 6: 21013, 8: 31410, 10: 32532, 12: 14270},
-    ("Category Twos", 6, 8): {0: 2855, 6: 11432, 8: 27864, 10: 37237, 12: 20612},
+    ("Category Twos", 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", 7, 0): {0: 100000},
-    ("Category Twos", 7, 1): {0: 27683, 2: 39060, 4: 23574, 6: 9683},
-    ("Category Twos", 7, 2): {0: 7824, 2: 24031, 4: 31764, 6: 23095, 8: 13286},
-    ("Category Twos", 7, 3): {0: 2148, 2: 11019, 4: 24197, 6: 29599, 8: 21250, 10: 11787},
-    ("Category Twos", 7, 4): {0: 564, 4: 19036, 6: 26395, 8: 28409, 10: 18080, 12: 7516},
-    ("Category Twos", 7, 5): {0: 1913, 6: 27198, 8: 29039, 10: 26129, 12: 15721},
-    ("Category Twos", 7, 6): {0: 54, 6: 17506, 8: 25752, 10: 30413, 12: 26275},
-    ("Category Twos", 7, 7): {0: 2179, 8: 28341, 10: 32054, 12: 27347, 14: 10079},
-    ("Category Twos", 7, 8): {0: 942, 8: 19835, 10: 30248, 12: 33276, 14: 15699},
+    ("Category Twos", 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", 8, 0): {0: 100000},
-    ("Category Twos", 8, 1): {0: 23378, 2: 37157, 4: 26082, 6: 13383},
-    ("Category Twos", 8, 2): {0: 5420, 2: 19164, 4: 29216, 6: 25677, 8: 20523},
-    ("Category Twos", 8, 3): {0: 1271, 4: 26082, 6: 27054, 8: 24712, 10: 20881},
-    ("Category Twos", 8, 4): {0: 2889, 6: 29552, 8: 27389, 10: 23232, 12: 16938},
-    ("Category Twos", 8, 5): {0: 879, 6: 16853, 8: 23322, 10: 27882, 12: 20768, 14: 10296},
-    ("Category Twos", 8, 6): {0: 2041, 8: 24140, 10: 27398, 12: 27048, 14: 19373},
-    ("Category Twos", 8, 7): {0: 74, 8: 15693, 10: 23675, 12: 30829, 14: 22454, 16: 7275},
-    ("Category Twos", 8, 8): {2: 2053, 10: 25677, 12: 31310, 14: 28983, 16: 11977},
+    ("Category 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 Threes", 0, 0): {0: 100000},
     ("Category Threes", 0, 1): {0: 100000},
     ("Category Threes", 0, 2): {0: 100000},
@@ -179,7 +179,7 @@ yacht_weights = {
     ("Category Threes", 0, 7): {0: 100000},
     ("Category Threes", 0, 8): {0: 100000},
     ("Category Threes", 1, 0): {0: 100000},
-    ("Category Threes", 1, 1): {0: 83343, 3: 16657},
+    ("Category Threes", 1, 1): {0: 100000},
     ("Category Threes", 1, 2): {0: 69569, 3: 30431},
     ("Category Threes", 1, 3): {0: 57872, 3: 42128},
     ("Category Threes", 1, 4): {0: 48081, 3: 51919},
@@ -189,67 +189,67 @@ yacht_weights = {
     ("Category Threes", 1, 8): {0: 23240, 3: 76760},
     ("Category Threes", 2, 0): {0: 100000},
     ("Category Threes", 2, 1): {0: 69419, 3: 30581},
-    ("Category Threes", 2, 2): {0: 48202, 3: 42590, 6: 9208},
-    ("Category Threes", 2, 3): {0: 33376, 3: 48849, 6: 17775},
-    ("Category Threes", 2, 4): {0: 23276, 3: 49810, 6: 26914},
-    ("Category Threes", 2, 5): {0: 16092, 3: 47718, 6: 36190},
-    ("Category Threes", 2, 6): {0: 11232, 3: 44515, 6: 44253},
-    ("Category Threes", 2, 7): {0: 7589, 3: 40459, 6: 51952},
-    ("Category Threes", 2, 8): {0: 5447, 3: 35804, 6: 58749},
+    ("Category Threes", 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", 3, 0): {0: 100000},
-    ("Category Threes", 3, 1): {0: 57964, 3: 34701, 6: 7335},
-    ("Category Threes", 3, 2): {0: 33637, 3: 44263, 6: 22100},
-    ("Category Threes", 3, 3): {0: 19520, 3: 42382, 6: 30676, 9: 7422},
-    ("Category Threes", 3, 4): {0: 11265, 3: 35772, 6: 39042, 9: 13921},
-    ("Category Threes", 3, 5): {0: 6419, 3: 28916, 6: 43261, 9: 21404},
-    ("Category Threes", 3, 6): {0: 3810, 3: 22496, 6: 44388, 9: 29306},
-    ("Category Threes", 3, 7): {0: 2174, 3: 16875, 6: 43720, 9: 37231},
-    ("Category Threes", 3, 8): {0: 1237, 3: 12471, 6: 41222, 9: 45070},
+    ("Category Threes", 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", 4, 0): {0: 100000},
-    ("Category Threes", 4, 1): {0: 48121, 3: 38786, 6: 13093},
-    ("Category Threes", 4, 2): {0: 23296, 3: 40989, 6: 26998, 9: 8717},
-    ("Category Threes", 4, 3): {0: 11233, 3: 32653, 6: 35710, 9: 20404},
-    ("Category Threes", 4, 4): {0: 5463, 3: 23270, 6: 37468, 9: 26734, 12: 7065},
-    ("Category Threes", 4, 5): {0: 2691, 3: 15496, 6: 34539, 9: 34635, 12: 12639},
-    ("Category Threes", 4, 6): {0: 1221, 3: 10046, 6: 29811, 9: 39190, 12: 19732},
-    ("Category Threes", 4, 7): {0: 599, 6: 30742, 9: 41614, 12: 27045},
-    ("Category Threes", 4, 8): {0: 309, 6: 22719, 9: 42236, 12: 34736},
+    ("Category Threes", 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", 5, 0): {0: 100000},
-    ("Category Threes", 5, 1): {0: 40183, 3: 40377, 6: 19440},
-    ("Category Threes", 5, 2): {0: 16197, 3: 35494, 6: 30937, 9: 17372},
-    ("Category Threes", 5, 3): {0: 6583, 3: 23394, 6: 34432, 9: 25239, 12: 10352},
-    ("Category Threes", 5, 4): {0: 2636, 3: 14072, 6: 30134, 9: 32371, 12: 20787},
-    ("Category Threes", 5, 5): {0: 1075, 3: 7804, 6: 23010, 9: 34811, 12: 25702, 15: 7598},
-    ("Category Threes", 5, 6): {0: 418, 6: 20888, 9: 32809, 12: 32892, 15: 12993},
-    ("Category Threes", 5, 7): {0: 2365, 6: 11416, 9: 29072, 12: 37604, 15: 19543},
-    ("Category Threes", 5, 8): {0: 1246, 6: 7425, 9: 24603, 12: 40262, 15: 26464},
+    ("Category Threes", 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", 6, 0): {0: 100000},
-    ("Category Threes", 6, 1): {0: 33473, 3: 40175, 6: 20151, 9: 6201},
-    ("Category Threes", 6, 2): {0: 11147, 3: 29592, 6: 32630, 9: 19287, 12: 7344},
-    ("Category Threes", 6, 3): {0: 3628, 3: 16528, 6: 29814, 9: 29006, 12: 15888, 15: 5136},
-    ("Category Threes", 6, 4): {0: 1262, 3: 8236, 6: 21987, 9: 30953, 12: 24833, 15: 12729},
-    ("Category Threes", 6, 5): {0: 416, 6: 17769, 9: 27798, 12: 31197, 15: 18256, 18: 4564},
-    ("Category Threes", 6, 6): {0: 1796, 6: 8372, 9: 22175, 12: 32897, 15: 26264, 18: 8496},
-    ("Category Threes", 6, 7): {0: 791, 9: 21074, 12: 31385, 15: 32666, 18: 14084},
-    ("Category Threes", 6, 8): {0: 20, 9: 14150, 12: 28320, 15: 36982, 18: 20528},
+    ("Category Threes", 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", 7, 0): {0: 100000},
-    ("Category Threes", 7, 1): {0: 27933, 3: 39105, 6: 23338, 9: 9624},
-    ("Category Threes", 7, 2): {0: 7794, 3: 23896, 6: 31832, 9: 23110, 12: 13368},
-    ("Category Threes", 7, 3): {0: 2138, 3: 11098, 6: 24140, 9: 29316, 12: 21386, 15: 11922},
-    ("Category Threes", 7, 4): {0: 590, 6: 19385, 9: 26233, 12: 28244, 15: 18118, 18: 7430},
-    ("Category Threes", 7, 5): {0: 1941, 6: 7953, 9: 19439, 12: 28977, 15: 26078, 18: 15612},
-    ("Category Threes", 7, 6): {0: 718, 9: 16963, 12: 25793, 15: 30535, 18: 20208, 21: 5783},
-    ("Category Threes", 7, 7): {0: 2064, 9: 7941, 12: 20571, 15: 31859, 18: 27374, 21: 10191},
-    ("Category Threes", 7, 8): {0: 963, 12: 19864, 15: 30313, 18: 33133, 21: 15727},
+    ("Category Threes", 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", 8, 0): {0: 100000},
-    ("Category Threes", 8, 1): {0: 23337, 3: 37232, 6: 25968, 9: 13463},
-    ("Category Threes", 8, 2): {0: 5310, 3: 18930, 6: 29232, 9: 26016, 12: 14399, 15: 6113},
-    ("Category Threes", 8, 3): {0: 1328, 3: 7328, 6: 18754, 9: 27141, 12: 24703, 15: 14251, 18: 6495},
-    ("Category Threes", 8, 4): {0: 2719, 6: 9554, 9: 20607, 12: 26898, 15: 23402, 18: 12452, 21: 4368},
-    ("Category Threes", 8, 5): {0: 905, 9: 16848, 12: 23248, 15: 27931, 18: 20616, 21: 10452},
-    ("Category Threes", 8, 6): {0: 1914, 9: 6890, 12: 17302, 15: 27235, 18: 27276, 21: 19383},
-    ("Category Threes", 8, 7): {0: 800, 12: 15127, 15: 23682, 18: 30401, 21: 22546, 24: 7444},
-    ("Category Threes", 8, 8): {0: 2041, 12: 7211, 15: 18980, 18: 30657, 21: 29074, 24: 12037},
+    ("Category 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 Fours", 0, 0): {0: 100000},
     ("Category Fours", 0, 1): {0: 100000},
     ("Category Fours", 0, 2): {0: 100000},
@@ -270,67 +270,67 @@ yacht_weights = {
     ("Category Fours", 1, 8): {0: 23431, 4: 76569},
     ("Category Fours", 2, 0): {0: 100000},
     ("Category Fours", 2, 1): {0: 69379, 4: 30621},
-    ("Category Fours", 2, 2): {0: 48538, 4: 42240, 8: 9222},
+    ("Category Fours", 2, 2): {0: 48538, 4: 51462},
     ("Category Fours", 2, 3): {0: 33756, 4: 48555, 8: 17689},
     ("Category Fours", 2, 4): {0: 23070, 4: 49916, 8: 27014},
     ("Category Fours", 2, 5): {0: 16222, 4: 48009, 8: 35769},
     ("Category Fours", 2, 6): {0: 11125, 4: 44400, 8: 44475},
     ("Category Fours", 2, 7): {0: 7919, 4: 40216, 8: 51865},
-    ("Category Fours", 2, 8): {0: 5348, 4: 35757, 8: 58895},
+    ("Category Fours", 2, 8): {0: 5348, 8: 94652},
     ("Category Fours", 3, 0): {0: 100000},
-    ("Category Fours", 3, 1): {0: 57914, 4: 34622, 8: 7464},
+    ("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: 30898, 12: 7524},
-    ("Category Fours", 3, 4): {0: 11125, 4: 36011, 8: 39024, 12: 13840},
-    ("Category Fours", 3, 5): {0: 6367, 4: 29116, 8: 43192, 12: 21325},
-    ("Category Fours", 3, 6): {0: 3643, 4: 22457, 8: 44477, 12: 29423},
-    ("Category Fours", 3, 7): {0: 2178, 4: 16802, 8: 43275, 12: 37745},
-    ("Category Fours", 3, 8): {0: 1255, 4: 12301, 8: 41132, 12: 45312},
+    ("Category Fours", 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", 4, 0): {0: 100000},
-    ("Category Fours", 4, 1): {0: 48465, 4: 38398, 8: 13137},
-    ("Category Fours", 4, 2): {0: 23296, 4: 40911, 8: 27073, 12: 8720},
-    ("Category Fours", 4, 3): {0: 11200, 4: 33191, 8: 35337, 12: 20272},
-    ("Category Fours", 4, 4): {0: 5447, 4: 23066, 8: 37441, 12: 26861, 16: 7185},
-    ("Category Fours", 4, 5): {0: 2533, 4: 15668, 8: 34781, 12: 34222, 16: 12796},
-    ("Category Fours", 4, 6): {0: 1314, 4: 10001, 8: 29850, 12: 39425, 16: 19410},
-    ("Category Fours", 4, 7): {0: 592, 4: 6231, 8: 24250, 12: 41917, 16: 27010},
-    ("Category Fours", 4, 8): {0: 302, 8: 23055, 12: 41866, 16: 34777},
+    ("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", 5, 0): {0: 100000},
-    ("Category Fours", 5, 1): {0: 40215, 4: 40127, 8: 16028, 12: 3630},
-    ("Category Fours", 5, 2): {0: 15946, 4: 35579, 8: 31158, 12: 13998, 16: 3319},
-    ("Category Fours", 5, 3): {0: 6479, 4: 23705, 8: 34575, 12: 24783, 16: 10458},
-    ("Category Fours", 5, 4): {0: 2635, 4: 13889, 8: 30079, 12: 32428, 16: 17263, 20: 3706},
-    ("Category Fours", 5, 5): {0: 1160, 4: 7756, 8: 23332, 12: 34254, 16: 25803, 20: 7695},
-    ("Category Fours", 5, 6): {0: 434, 8: 20773, 12: 32910, 16: 32752, 20: 13131},
-    ("Category Fours", 5, 7): {0: 169, 8: 13536, 12: 29123, 16: 37701, 20: 19471},
-    ("Category Fours", 5, 8): {0: 1267, 8: 7340, 12: 24807, 16: 40144, 20: 26442},
+    ("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", 6, 0): {0: 100000},
-    ("Category Fours", 6, 1): {0: 33632, 4: 39856, 8: 20225, 12: 6287},
-    ("Category Fours", 6, 2): {0: 11175, 4: 29824, 8: 32381, 12: 19179, 16: 7441},
-    ("Category Fours", 6, 3): {0: 3698, 4: 16329, 8: 29939, 12: 29071, 16: 15808, 20: 5155},
-    ("Category Fours", 6, 4): {0: 1284, 4: 7889, 8: 21748, 12: 31107, 16: 25281, 20: 12691},
-    ("Category Fours", 6, 5): {0: 462, 8: 17601, 12: 27817, 16: 31233, 20: 18386, 24: 4501},
-    ("Category Fours", 6, 6): {0: 1783, 8: 8344, 12: 22156, 16: 32690, 20: 26192, 24: 8835},
-    ("Category Fours", 6, 7): {0: 767, 12: 20974, 16: 31490, 20: 32639, 24: 14130},
-    ("Category Fours", 6, 8): {0: 357, 12: 13912, 16: 27841, 20: 37380, 24: 20510},
+    ("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", 7, 0): {0: 100000},
-    ("Category Fours", 7, 1): {0: 27821, 4: 39289, 8: 23327, 12: 9563},
-    ("Category Fours", 7, 2): {0: 7950, 4: 24026, 8: 31633, 12: 23169, 16: 13222},
-    ("Category Fours", 7, 3): {0: 2194, 4: 11153, 8: 24107, 12: 29411, 16: 21390, 20: 11745},
-    ("Category Fours", 7, 4): {0: 560, 8: 19291, 12: 26330, 16: 28118, 20: 18174, 24: 7527},
-    ("Category Fours", 7, 5): {0: 1858, 8: 7862, 12: 19425, 16: 29003, 20: 26113, 24: 15739},
-    ("Category Fours", 7, 6): {0: 679, 12: 16759, 16: 25831, 20: 30724, 24: 20147, 28: 5860},
-    ("Category Fours", 7, 7): {0: 13, 12: 10063, 16: 20524, 20: 31843, 24: 27368, 28: 10189},
-    ("Category Fours", 7, 8): {4: 864, 16: 19910, 20: 30153, 24: 33428, 28: 15645},
+    ("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", 8, 0): {0: 100000},
-    ("Category Fours", 8, 1): {0: 23275, 4: 37161, 8: 25964, 12: 13600},
-    ("Category Fours", 8, 2): {0: 5421, 4: 19014, 8: 29259, 12: 25812, 16: 14387, 20: 6107},
-    ("Category Fours", 8, 3): {0: 1277, 4: 7349, 8: 18330, 12: 27186, 16: 25138, 20: 14371, 24: 6349},
-    ("Category Fours", 8, 4): {0: 289, 8: 11929, 12: 20282, 16: 26960, 20: 23292, 24: 12927, 28: 4321},
-    ("Category Fours", 8, 5): {0: 835, 12: 16706, 16: 23588, 20: 27754, 24: 20767, 28: 10350},
-    ("Category Fours", 8, 6): {0: 21, 12: 8911, 16: 17296, 20: 27398, 24: 27074, 28: 15457, 32: 3843},
-    ("Category Fours", 8, 7): {0: 745, 16: 15069, 20: 23737, 24: 30628, 28: 22590, 32: 7231},
-    ("Category Fours", 8, 8): {0: 1949, 16: 7021, 20: 18630, 24: 31109, 28: 29548, 32: 11743},
+    ("Category 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 Fives", 0, 0): {0: 100000},
     ("Category Fives", 0, 1): {0: 100000},
     ("Category Fives", 0, 2): {0: 100000},
@@ -350,8 +350,8 @@ yacht_weights = {
     ("Category Fives", 1, 7): {0: 27730, 5: 72270},
     ("Category Fives", 1, 8): {0: 23210, 5: 76790},
     ("Category Fives", 2, 0): {0: 100000},
-    ("Category Fives", 2, 1): {0: 69299, 5: 27864, 10: 2837},
-    ("Category Fives", 2, 2): {0: 48156, 5: 42526, 10: 9318},
+    ("Category Fives", 2, 1): {0: 69299, 5: 30701},
+    ("Category Fives", 2, 2): {0: 48156, 5: 51844},
     ("Category Fives", 2, 3): {0: 33225, 5: 49153, 10: 17622},
     ("Category Fives", 2, 4): {0: 23218, 5: 50075, 10: 26707},
     ("Category Fives", 2, 5): {0: 15939, 5: 48313, 10: 35748},
@@ -359,59 +359,59 @@ yacht_weights = {
     ("Category Fives", 2, 7): {0: 7822, 5: 40388, 10: 51790},
     ("Category Fives", 2, 8): {0: 5386, 5: 35636, 10: 58978},
     ("Category Fives", 3, 0): {0: 100000},
-    ("Category Fives", 3, 1): {0: 58034, 5: 34541, 10: 7425},
-    ("Category Fives", 3, 2): {0: 33466, 5: 44227, 10: 19403, 15: 2904},
-    ("Category Fives", 3, 3): {0: 19231, 5: 42483, 10: 30794, 15: 7492},
+    ("Category Fives", 3, 1): {0: 58034, 5: 41966},
+    ("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, 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", 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", 4, 0): {0: 100000},
     ("Category Fives", 4, 1): {0: 48377, 5: 38345, 10: 13278},
-    ("Category Fives", 4, 2): {0: 23126, 5: 40940, 10: 27041, 15: 8893},
-    ("Category Fives", 4, 3): {0: 11192, 5: 32597, 10: 35753, 15: 17250, 20: 3208},
-    ("Category Fives", 4, 4): {0: 5362, 5: 23073, 10: 37379, 15: 26968, 20: 7218},
-    ("Category Fives", 4, 5): {0: 2655, 5: 15662, 10: 34602, 15: 34186, 20: 12895},
-    ("Category Fives", 4, 6): {0: 1291, 5: 9959, 10: 29833, 15: 39417, 20: 19500},
-    ("Category Fives", 4, 7): {0: 623, 5: 6231, 10: 24360, 15: 41779, 20: 27007},
-    ("Category Fives", 4, 8): {0: 313, 10: 23001, 15: 41957, 20: 34729},
+    ("Category Fives", 4, 2): {0: 23126, 5: 40940, 15: 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", 5, 0): {0: 100000},
-    ("Category Fives", 5, 1): {0: 39911, 5: 40561, 10: 16029, 15: 3499},
-    ("Category Fives", 5, 2): {0: 16178, 5: 35517, 10: 31246, 15: 13793, 20: 3266},
-    ("Category Fives", 5, 3): {0: 6526, 5: 23716, 10: 34430, 15: 25017, 20: 10311},
-    ("Category Fives", 5, 4): {0: 2615, 5: 13975, 10: 30133, 15: 32247, 20: 17219, 25: 3811},
-    ("Category Fives", 5, 5): {0: 1063, 5: 7876, 10: 23203, 15: 34489, 20: 25757, 25: 7612},
-    ("Category Fives", 5, 6): {0: 429, 5: 4091, 10: 16696, 15: 32855, 20: 32891, 25: 13038},
-    ("Category Fives", 5, 7): {0: 159, 10: 13509, 15: 29416, 20: 37778, 25: 19138},
-    ("Category Fives", 5, 8): {0: 1179, 10: 7453, 15: 24456, 20: 40615, 25: 26297},
+    ("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", 6, 0): {0: 100000},
-    ("Category Fives", 6, 1): {0: 33476, 5: 40167, 10: 20181, 15: 6176},
-    ("Category Fives", 6, 2): {0: 11322, 5: 29613, 10: 32664, 15: 19004, 20: 7397},
-    ("Category Fives", 6, 3): {0: 3765, 5: 16288, 10: 29770, 15: 29233, 20: 15759, 25: 5185},
-    ("Category Fives", 6, 4): {0: 1201, 5: 8226, 10: 21518, 15: 31229, 20: 25160, 25: 12666},
-    ("Category Fives", 6, 5): {0: 433, 10: 17879, 15: 27961, 20: 30800, 25: 18442, 30: 4485},
-    ("Category Fives", 6, 6): {0: 141, 10: 10040, 15: 22226, 20: 32744, 25: 26341, 30: 8508},
-    ("Category Fives", 6, 7): {0: 772, 10: 4724, 15: 16206, 20: 31363, 25: 32784, 30: 14151},
-    ("Category Fives", 6, 8): {0: 297, 15: 13902, 20: 28004, 25: 37178, 30: 20619},
+    ("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", 7, 0): {0: 100000},
-    ("Category Fives", 7, 1): {0: 27826, 5: 39154, 10: 23567, 15: 9453},
-    ("Category Fives", 7, 2): {0: 7609, 5: 24193, 10: 31722, 15: 23214, 20: 10140, 25: 3122},
-    ("Category Fives", 7, 3): {0: 2262, 5: 11013, 10: 24443, 15: 29307, 20: 21387, 25: 11588},
-    ("Category Fives", 7, 4): {0: 618, 5: 4583, 10: 14761, 15: 26159, 20: 28335, 25: 18050, 30: 7494},
-    ("Category Fives", 7, 5): {0: 183, 10: 9616, 15: 19685, 20: 28915, 25: 26000, 30: 12883, 35: 2718},
-    ("Category Fives", 7, 6): {0: 670, 15: 16878, 20: 25572, 25: 30456, 30: 20695, 35: 5729},
-    ("Category Fives", 7, 7): {0: 255, 15: 9718, 20: 20696, 25: 31883, 30: 27333, 35: 10115},
-    ("Category Fives", 7, 8): {0: 927, 15: 4700, 20: 15292, 25: 30298, 30: 33015, 35: 15768},
+    ("Category Fives", 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", 8, 0): {0: 100000},
-    ("Category Fives", 8, 1): {0: 23333, 5: 37259, 10: 25947, 15: 10392, 20: 3069},
-    ("Category Fives", 8, 2): {0: 5425, 5: 18915, 10: 29380, 15: 25994, 20: 14056, 25: 6230},
-    ("Category Fives", 8, 3): {0: 1258, 5: 7317, 10: 18783, 15: 27375, 20: 24542, 25: 14322, 30: 6403},
-    ("Category Fives", 8, 4): {0: 271, 10: 11864, 15: 20267, 20: 27158, 25: 23589, 30: 12529, 35: 4322},
-    ("Category Fives", 8, 5): {0: 943, 10: 4260, 15: 12456, 20: 23115, 25: 27968, 30: 20704, 35: 10554},
-    ("Category Fives", 8, 6): {0: 281, 15: 8625, 20: 17201, 25: 27484, 30: 27178, 35: 15414, 40: 3817},
-    ("Category Fives", 8, 7): {0: 746, 20: 14964, 25: 23717, 30: 30426, 35: 22677, 40: 7470},
-    ("Category Fives", 8, 8): {0: 261, 20: 8927, 25: 18714, 30: 31084, 35: 29126, 40: 11888},
+    ("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 Sixes", 0, 0): {0: 100000},
     ("Category Sixes", 0, 1): {0: 100000},
     ("Category Sixes", 0, 2): {0: 100000},
@@ -431,8 +431,8 @@ yacht_weights = {
     ("Category Sixes", 1, 7): {0: 28251, 6: 71749},
     ("Category Sixes", 1, 8): {0: 23206, 6: 76794},
     ("Category Sixes", 2, 0): {0: 100000},
-    ("Category Sixes", 2, 1): {0: 69463, 6: 27651, 12: 2886},
-    ("Category Sixes", 2, 2): {0: 47896, 6: 42794, 12: 9310},
+    ("Category Sixes", 2, 1): {0: 69463, 6: 30537},
+    ("Category Sixes", 2, 2): {0: 47896, 6: 52104},
     ("Category Sixes", 2, 3): {0: 33394, 6: 48757, 12: 17849},
     ("Category Sixes", 2, 4): {0: 23552, 6: 49554, 12: 26894},
     ("Category Sixes", 2, 5): {0: 16090, 6: 48098, 12: 35812},
@@ -440,59 +440,59 @@ yacht_weights = {
     ("Category Sixes", 2, 7): {0: 7737, 6: 40480, 12: 51783},
     ("Category Sixes", 2, 8): {0: 5379, 6: 35672, 12: 58949},
     ("Category Sixes", 3, 0): {0: 100000},
-    ("Category Sixes", 3, 1): {0: 57718, 6: 34818, 12: 7464},
-    ("Category Sixes", 3, 2): {0: 33610, 6: 44328, 12: 19159, 18: 2903},
-    ("Category Sixes", 3, 3): {0: 19366, 6: 42246, 12: 30952, 18: 7436},
+    ("Category Sixes", 3, 1): {0: 57718, 6: 42282},
+    ("Category Sixes", 3, 2): {0: 33610, 6: 44328, 12: 22062},
+    ("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, 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", 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", 4, 0): {0: 100000},
     ("Category Sixes", 4, 1): {0: 48197, 6: 38521, 12: 13282},
-    ("Category Sixes", 4, 2): {0: 23155, 6: 41179, 12: 26935, 18: 8731},
-    ("Category Sixes", 4, 3): {0: 11256, 6: 32609, 12: 35588, 18: 17390, 24: 3157},
-    ("Category Sixes", 4, 4): {0: 5324, 6: 23265, 12: 37209, 18: 26929, 24: 7273},
-    ("Category Sixes", 4, 5): {0: 2658, 6: 15488, 12: 34685, 18: 34476, 24: 12693},
-    ("Category Sixes", 4, 6): {0: 1282, 6: 9997, 12: 29855, 18: 39379, 24: 19487},
-    ("Category Sixes", 4, 7): {0: 588, 6: 6202, 12: 24396, 18: 41935, 24: 26879},
-    ("Category Sixes", 4, 8): {0: 317, 6: 3863, 12: 19042, 18: 42180, 24: 34598},
+    ("Category Sixes", 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", 5, 0): {0: 100000},
-    ("Category Sixes", 5, 1): {0: 40393, 6: 39904, 12: 16206, 18: 3497},
-    ("Category Sixes", 5, 2): {0: 16202, 6: 35664, 12: 31241, 18: 13612, 24: 3281},
-    ("Category Sixes", 5, 3): {0: 6456, 6: 23539, 12: 34585, 18: 25020, 24: 10400},
-    ("Category Sixes", 5, 4): {0: 2581, 6: 13980, 12: 30355, 18: 32198, 24: 17115, 30: 3771},
-    ("Category Sixes", 5, 5): {0: 1119, 6: 7775, 12: 23063, 18: 34716, 24: 25568, 30: 7759},
-    ("Category Sixes", 5, 6): {0: 392, 6: 4171, 12: 16724, 18: 32792, 24: 32829, 30: 13092},
-    ("Category Sixes", 5, 7): {0: 197, 12: 13627, 18: 29190, 24: 37560, 30: 19426},
-    ("Category Sixes", 5, 8): {0: 1246, 12: 7404, 18: 24560, 24: 40134, 30: 26656},
+    ("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", 6, 0): {0: 100000},
-    ("Category Sixes", 6, 1): {0: 33316, 6: 40218, 12: 20198, 18: 6268},
-    ("Category Sixes", 6, 2): {0: 11256, 6: 29444, 12: 32590, 18: 19196, 24: 7514},
-    ("Category Sixes", 6, 3): {0: 3787, 6: 16266, 12: 29873, 18: 29107, 24: 15863, 30: 5104},
-    ("Category Sixes", 6, 4): {0: 1286, 6: 8066, 12: 21653, 18: 31264, 24: 25039, 30: 12692},
-    ("Category Sixes", 6, 5): {0: 413, 6: 3777, 12: 13962, 18: 27705, 24: 30919, 30: 18670, 36: 4554},
-    ("Category Sixes", 6, 6): {0: 146, 12: 10040, 18: 22320, 24: 32923, 30: 26086, 36: 8485},
-    ("Category Sixes", 6, 7): {0: 814, 12: 4698, 18: 16286, 24: 31577, 30: 32487, 36: 14138},
-    ("Category Sixes", 6, 8): {0: 328, 18: 14004, 24: 28064, 30: 37212, 36: 20392},
+    ("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", 7, 0): {0: 100000},
-    ("Category Sixes", 7, 1): {0: 27852, 6: 38984, 12: 23499, 18: 9665},
-    ("Category Sixes", 7, 2): {0: 7883, 6: 23846, 12: 31558, 18: 23295, 24: 10316, 30: 3102},
-    ("Category Sixes", 7, 3): {0: 2186, 6: 10928, 12: 24321, 18: 29650, 24: 21177, 30: 9209, 36: 2529},
-    ("Category Sixes", 7, 4): {0: 603, 6: 4459, 12: 14673, 18: 26303, 24: 28335, 30: 18228, 36: 7399},
-    ("Category Sixes", 7, 5): {0: 172, 12: 9654, 18: 19381, 24: 29254, 30: 25790, 36: 12992, 42: 2757},
-    ("Category Sixes", 7, 6): {0: 704, 12: 3864, 18: 13039, 24: 25760, 30: 30698, 36: 20143, 42: 5792},
-    ("Category Sixes", 7, 7): {0: 257, 18: 9857, 24: 20557, 30: 31709, 36: 27546, 42: 10074},
-    ("Category Sixes", 7, 8): {0: 872, 18: 4658, 24: 15419, 30: 30259, 36: 33183, 42: 15609},
+    ("Category Sixes", 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", 8, 0): {0: 100000},
-    ("Category Sixes", 8, 1): {0: 23220, 6: 37213, 12: 25961, 18: 10483, 24: 3123},
-    ("Category Sixes", 8, 2): {0: 5280, 6: 18943, 12: 29664, 18: 25777, 24: 14170, 30: 6166},
-    ("Category Sixes", 8, 3): {0: 1246, 6: 7112, 12: 18757, 18: 27277, 24: 24802, 30: 14351, 36: 6455},
-    ("Category Sixes", 8, 4): {0: 301, 12: 12044, 18: 20247, 24: 27146, 30: 23403, 36: 12524, 42: 4335},
-    ("Category Sixes", 8, 5): {0: 859, 12: 4241, 18: 12477, 24: 23471, 30: 27655, 36: 20803, 42: 10494},
-    ("Category Sixes", 8, 6): {0: 277, 18: 8656, 24: 17373, 30: 27347, 36: 27024, 42: 15394, 48: 3929},
-    ("Category Sixes", 8, 7): {0: 766, 18: 3503, 24: 11451, 30: 23581, 36: 30772, 42: 22654, 48: 7273},
-    ("Category Sixes", 8, 8): {6: 262, 24: 8866, 30: 18755, 36: 31116, 42: 28870, 48: 12131},
+    ("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 Choice", 0, 0): {0: 100000},
     ("Category Choice", 0, 1): {0: 100000},
     ("Category Choice", 0, 2): {0: 100000},
@@ -503,77 +503,77 @@ 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: 16642, 3: 33501, 5: 33218, 6: 16639},
-    ("Category Choice", 1, 2): {1: 10921, 3: 22060, 5: 39231, 6: 27788},
-    ("Category Choice", 1, 3): {1: 9416, 4: 27917, 5: 22740, 6: 39927},
-    ("Category Choice", 1, 4): {1: 15490, 3: 15489, 6: 69021},
-    ("Category Choice", 1, 5): {1: 12817, 3: 12757, 6: 74426},
-    ("Category Choice", 1, 6): {1: 10513, 3: 10719, 6: 78768},
-    ("Category Choice", 1, 7): {1: 8893, 6: 91107},
-    ("Category Choice", 1, 8): {1: 14698, 6: 85302},
+    ("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", 2, 0): {0: 100000},
-    ("Category Choice", 2, 1): {2: 8504, 6: 32987, 8: 30493, 11: 28016},
-    ("Category Choice", 2, 2): {2: 3714, 7: 33270, 9: 25859, 11: 37157},
-    ("Category Choice", 2, 3): {2: 5113, 5: 10402, 8: 25783, 10: 24173, 12: 34529},
-    ("Category Choice", 2, 4): {2: 1783, 4: 8908, 8: 23189, 10: 22115, 12: 44005},
-    ("Category Choice", 2, 5): {2: 7575, 8: 20444, 11: 38062, 12: 33919},
-    ("Category Choice", 2, 6): {2: 5153, 9: 26383, 11: 25950, 12: 42514},
-    ("Category Choice", 2, 7): {2: 3638, 7: 15197, 9: 14988, 12: 66177},
-    ("Category Choice", 2, 8): {2: 2448, 7: 13306, 9: 12754, 12: 71492},
+    ("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", 3, 0): {0: 100000},
-    ("Category Choice", 3, 1): {3: 4589, 6: 11560, 9: 21469, 11: 25007, 13: 28332, 15: 9043},
-    ("Category Choice", 3, 2): {3: 1380, 6: 8622, 9: 14417, 12: 23457, 14: 24807, 17: 27317},
-    ("Category Choice", 3, 3): {3: 1605, 7: 9370, 10: 13491, 13: 24408, 15: 23065, 17: 28061},
-    ("Category Choice", 3, 4): {3: 7212, 13: 32000, 15: 22707, 17: 38081},
-    ("Category Choice", 3, 5): {3: 7989, 11: 10756, 14: 23811, 16: 21668, 18: 35776},
-    ("Category Choice", 3, 6): {3: 3251, 10: 10272, 14: 21653, 17: 37049, 18: 27775},
-    ("Category Choice", 3, 7): {3: 1018, 9: 8591, 15: 28080, 17: 26469, 18: 35842},
-    ("Category Choice", 3, 8): {3: 6842, 15: 25118, 17: 24534, 18: 43506},
+    ("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", 4, 0): {0: 100000},
-    ("Category Choice", 4, 1): {4: 5386, 9: 10561, 13: 28501, 15: 21902, 17: 23999, 19: 9651},
-    ("Category Choice", 4, 2): {4: 7510, 12: 10646, 16: 28145, 18: 22596, 19: 17705, 21: 13398},
-    ("Category Choice", 4, 3): {4: 2392, 11: 8547, 14: 13300, 18: 29887, 20: 21680, 21: 15876, 23: 8318},
-    ("Category Choice", 4, 4): {4: 2258, 12: 8230, 15: 12216, 19: 31486, 21: 20698, 23: 25112},
-    ("Category Choice", 4, 5): {4: 2209, 13: 8484, 16: 11343, 19: 21913, 21: 21675, 23: 34376},
-    ("Category Choice", 4, 6): {4: 2179, 14: 8704, 17: 12056, 20: 23300, 22: 20656, 24: 33105},
-    ("Category Choice", 4, 7): {5: 7652, 19: 20489, 21: 20365, 23: 26176, 24: 25318},
-    ("Category Choice", 4, 8): {5: 3231, 16: 8958, 21: 28789, 23: 25837, 24: 33185},
+    ("Category Choice", 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", 5, 0): {0: 100000},
-    ("Category Choice", 5, 1): {5: 1575, 10: 8293, 13: 12130, 17: 28045, 20: 40099, 23: 9858},
-    ("Category Choice", 5, 2): {5: 3298, 14: 10211, 17: 13118, 21: 28204, 24: 34078, 26: 11091},
-    ("Category Choice", 5, 3): {6: 2633, 15: 8316, 18: 11302, 22: 26605, 24: 20431, 26: 22253, 28: 8460},
-    ("Category Choice", 5, 4): {5: 4084, 17: 9592, 20: 13422, 24: 28620, 26: 20353, 27: 14979, 29: 8950},
-    ("Category Choice", 5, 5): {6: 348, 14: 8075, 20: 10195, 22: 14679, 25: 22335, 28: 28253, 29: 16115},
-    ("Category Choice", 5, 6): {7: 3204, 19: 9258, 22: 11859, 25: 21412, 27: 20895, 29: 33372},
-    ("Category Choice", 5, 7): {8: 2983, 20: 9564, 23: 12501, 26: 22628, 29: 34285, 30: 18039},
-    ("Category Choice", 5, 8): {9: 323, 17: 8259, 25: 20762, 27: 20118, 29: 25318, 30: 25220},
+    ("Category Choice", 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", 6, 0): {0: 100000},
-    ("Category Choice", 6, 1): {6: 6102, 17: 21746, 21: 26524, 23: 25004, 25: 11086, 27: 9538},
-    ("Category Choice", 6, 2): {8: 1504, 16: 8676, 20: 10032, 22: 14673, 26: 27312, 27: 16609, 29: 12133, 31: 9061},
-    ("Category Choice", 6, 3): {6: 1896, 18: 8914, 22: 10226, 24: 14822, 28: 27213, 31: 28868, 33: 8061},
-    ("Category Choice", 6, 4): {9: 441, 17: 8018, 25: 22453, 29: 26803, 32: 32275, 34: 10010},
-    ("Category Choice", 6, 5): {10: 1788, 21: 8763, 25: 10319, 27: 14763, 31: 30144, 33: 23879, 35: 10344},
-    ("Category Choice", 6, 6): {13: 876, 21: 8303, 28: 24086, 31: 21314, 34: 28149, 35: 17272},
-    ("Category Choice", 6, 7): {12: 3570, 25: 9625, 28: 11348, 31: 20423, 33: 20469, 35: 34565},
-    ("Category Choice", 6, 8): {12: 3450, 26: 9544, 29: 12230, 32: 22130, 35: 33671, 36: 18975},
+    ("Category Choice", 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", 7, 0): {0: 100000},
-    ("Category Choice", 7, 1): {7: 1237, 15: 8100, 21: 23947, 25: 25361, 27: 22186, 31: 19169},
-    ("Category Choice", 7, 2): {10: 2086, 20: 8960, 26: 23657, 30: 25264, 31: 15759, 33: 12356, 35: 11918},
-    ("Category Choice", 7, 3): {10: 4980, 24: 9637, 27: 11247, 29: 15046, 33: 33492, 35: 13130, 37: 12468},
-    ("Category Choice", 7, 4): {13: 2260, 24: 8651, 30: 23022, 34: 25656, 37: 29910, 39: 10501},
-    ("Category Choice", 7, 5): {12: 3879, 27: 8154, 30: 10292, 32: 14692, 36: 27425, 38: 23596, 40: 11962},
-    ("Category Choice", 7, 6): {14: 1957, 27: 8230, 33: 23945, 37: 29286, 39: 24519, 41: 12063},
-    ("Category Choice", 7, 7): {16: 599, 26: 8344, 34: 22981, 37: 20883, 40: 28045, 42: 19148},
-    ("Category Choice", 7, 8): {14: 3639, 31: 8907, 34: 10904, 37: 20148, 39: 20219, 41: 21627, 42: 14556},
+    ("Category Choice", 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", 8, 0): {0: 100000},
-    ("Category Choice", 8, 1): {10: 752, 17: 8385, 24: 21460, 26: 15361, 29: 23513, 31: 12710, 35: 17819},
-    ("Category Choice", 8, 2): {11: 5900, 26: 10331, 29: 11435, 31: 14533, 34: 23939, 36: 13855, 38: 10165, 40: 9842},
-    ("Category Choice", 8, 3): {12: 2241, 26: 8099, 32: 20474, 34: 14786, 38: 31140, 40: 11751, 42: 11509},
-    ("Category Choice", 8, 4): {16: 1327, 27: 8361, 34: 19865, 36: 15078, 40: 32325, 42: 12218, 44: 10826},
-    ("Category Choice", 8, 5): {16: 4986, 32: 9031, 35: 10214, 37: 14528, 41: 25608, 42: 16131, 44: 11245, 46: 8257},
-    ("Category Choice", 8, 6): {16: 2392, 32: 8742, 38: 23237, 42: 26333, 45: 30725, 47: 8571},
-    ("Category Choice", 8, 7): {20: 1130, 32: 8231, 39: 22137, 43: 28783, 45: 25221, 47: 14498},
-    ("Category Choice", 8, 8): {20: 73, 28: 8033, 40: 21670, 43: 20615, 46: 28105, 48: 21504},
+    ("Category 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 Inverse Choice", 0, 0): {0: 100000},
     ("Category Inverse Choice", 0, 1): {0: 100000},
     ("Category Inverse Choice", 0, 2): {0: 100000},
@@ -584,104 +584,77 @@ 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: 16642, 3: 33501, 5: 33218, 6: 16639},
-    ("Category Inverse Choice", 1, 2): {1: 10921, 3: 22060, 5: 39231, 6: 27788},
-    ("Category Inverse Choice", 1, 3): {1: 9416, 4: 27917, 5: 22740, 6: 39927},
-    ("Category Inverse Choice", 1, 4): {1: 15490, 3: 15489, 6: 69021},
-    ("Category Inverse Choice", 1, 5): {1: 12817, 3: 12757, 6: 74426},
-    ("Category Inverse Choice", 1, 6): {1: 10513, 3: 10719, 6: 78768},
-    ("Category Inverse Choice", 1, 7): {1: 8893, 6: 91107},
-    ("Category Inverse Choice", 1, 8): {1: 14698, 6: 85302},
+    ("Category Inverse Choice", 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", 2, 0): {0: 100000},
-    ("Category Inverse Choice", 2, 1): {2: 8504, 6: 32987, 8: 30493, 11: 28016},
-    ("Category Inverse Choice", 2, 2): {2: 3714, 7: 33270, 9: 25859, 11: 37157},
-    ("Category Inverse Choice", 2, 3): {2: 5113, 5: 10402, 8: 25783, 10: 24173, 12: 34529},
-    ("Category Inverse Choice", 2, 4): {2: 1783, 4: 8908, 8: 23189, 10: 22115, 12: 44005},
-    ("Category Inverse Choice", 2, 5): {2: 7575, 8: 20444, 11: 38062, 12: 33919},
-    ("Category Inverse Choice", 2, 6): {2: 5153, 9: 26383, 11: 25950, 12: 42514},
-    ("Category Inverse Choice", 2, 7): {2: 3638, 7: 15197, 9: 14988, 12: 66177},
-    ("Category Inverse Choice", 2, 8): {2: 2448, 7: 13306, 9: 12754, 12: 71492},
+    ("Category Inverse Choice", 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", 3, 0): {0: 100000},
-    ("Category Inverse Choice", 3, 1): {3: 4589, 6: 11560, 9: 21469, 11: 25007, 13: 28332, 15: 9043},
-    ("Category Inverse Choice", 3, 2): {3: 1380, 6: 8622, 9: 14417, 12: 23457, 14: 24807, 17: 27317},
-    ("Category Inverse Choice", 3, 3): {3: 1605, 7: 9370, 10: 13491, 13: 24408, 15: 23065, 17: 28061},
-    ("Category Inverse Choice", 3, 4): {3: 7212, 13: 32000, 15: 22707, 17: 38081},
-    ("Category Inverse Choice", 3, 5): {3: 7989, 11: 10756, 14: 23811, 16: 21668, 18: 35776},
-    ("Category Inverse Choice", 3, 6): {3: 3251, 10: 10272, 14: 21653, 17: 37049, 18: 27775},
-    ("Category Inverse Choice", 3, 7): {3: 1018, 9: 8591, 15: 28080, 17: 26469, 18: 35842},
-    ("Category Inverse Choice", 3, 8): {3: 6842, 15: 25118, 17: 24534, 18: 43506},
+    ("Category Inverse Choice", 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", 4, 0): {0: 100000},
-    ("Category Inverse Choice", 4, 1): {4: 5386, 9: 10561, 13: 28501, 15: 21902, 17: 23999, 19: 9651},
-    ("Category Inverse Choice", 4, 2): {4: 7510, 12: 10646, 16: 28145, 18: 22596, 19: 17705, 21: 13398},
-    ("Category Inverse Choice", 4, 3): {4: 2392, 11: 8547, 14: 13300, 18: 29887, 20: 21680, 21: 15876, 23: 8318},
-    ("Category Inverse Choice", 4, 4): {4: 2258, 12: 8230, 15: 12216, 19: 31486, 21: 20698, 23: 25112},
-    ("Category Inverse Choice", 4, 5): {4: 2209, 13: 8484, 16: 11343, 19: 21913, 21: 21675, 23: 34376},
-    ("Category Inverse Choice", 4, 6): {4: 2179, 14: 8704, 17: 12056, 20: 23300, 22: 20656, 24: 33105},
-    ("Category Inverse Choice", 4, 7): {5: 7652, 19: 20489, 21: 20365, 23: 26176, 24: 25318},
-    ("Category Inverse Choice", 4, 8): {5: 3231, 16: 8958, 21: 28789, 23: 25837, 24: 33185},
+    ("Category Inverse Choice", 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", 5, 0): {0: 100000},
-    ("Category Inverse Choice", 5, 1): {5: 1575, 10: 8293, 13: 12130, 17: 28045, 20: 40099, 23: 9858},
-    ("Category Inverse Choice", 5, 2): {5: 3298, 14: 10211, 17: 13118, 21: 28204, 24: 34078, 26: 11091},
-    ("Category Inverse Choice", 5, 3): {6: 2633, 15: 8316, 18: 11302, 22: 26605, 24: 20431, 26: 22253, 28: 8460},
-    ("Category Inverse Choice", 5, 4): {5: 4084, 17: 9592, 20: 13422, 24: 28620, 26: 20353, 27: 14979, 29: 8950},
-    ("Category Inverse Choice", 5, 5): {6: 348, 14: 8075, 20: 10195, 22: 14679, 25: 22335, 28: 28253, 29: 16115},
-    ("Category Inverse Choice", 5, 6): {7: 3204, 19: 9258, 22: 11859, 25: 21412, 27: 20895, 29: 33372},
-    ("Category Inverse Choice", 5, 7): {8: 2983, 20: 9564, 23: 12501, 26: 22628, 29: 34285, 30: 18039},
-    ("Category Inverse Choice", 5, 8): {9: 323, 17: 8259, 25: 20762, 27: 20118, 29: 25318, 30: 25220},
+    ("Category Inverse Choice", 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", 6, 0): {0: 100000},
-    ("Category Inverse Choice", 6, 1): {6: 6102, 17: 21746, 21: 26524, 23: 25004, 25: 11086, 27: 9538},
-    ("Category Inverse Choice", 6, 2): {
-        8: 1504,
-        16: 8676,
-        20: 10032,
-        22: 14673,
-        26: 27312,
-        27: 16609,
-        29: 12133,
-        31: 9061,
-    },
-    ("Category Inverse Choice", 6, 3): {6: 1896, 18: 8914, 22: 10226, 24: 14822, 28: 27213, 31: 28868, 33: 8061},
-    ("Category Inverse Choice", 6, 4): {9: 441, 17: 8018, 25: 22453, 29: 26803, 32: 32275, 34: 10010},
-    ("Category Inverse Choice", 6, 5): {10: 1788, 21: 8763, 25: 10319, 27: 14763, 31: 30144, 33: 23879, 35: 10344},
-    ("Category Inverse Choice", 6, 6): {13: 876, 21: 8303, 28: 24086, 31: 21314, 34: 28149, 35: 17272},
-    ("Category Inverse Choice", 6, 7): {12: 3570, 25: 9625, 28: 11348, 31: 20423, 33: 20469, 35: 34565},
-    ("Category Inverse Choice", 6, 8): {12: 3450, 26: 9544, 29: 12230, 32: 22130, 35: 33671, 36: 18975},
+    ("Category Inverse Choice", 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", 7, 0): {0: 100000},
-    ("Category Inverse Choice", 7, 1): {7: 1237, 15: 8100, 21: 23947, 25: 25361, 27: 22186, 31: 19169},
-    ("Category Inverse Choice", 7, 2): {10: 2086, 20: 8960, 26: 23657, 30: 25264, 31: 15759, 33: 12356, 35: 11918},
-    ("Category Inverse Choice", 7, 3): {10: 4980, 24: 9637, 27: 11247, 29: 15046, 33: 33492, 35: 13130, 37: 12468},
-    ("Category Inverse Choice", 7, 4): {13: 2260, 24: 8651, 30: 23022, 34: 25656, 37: 29910, 39: 10501},
-    ("Category Inverse Choice", 7, 5): {12: 3879, 27: 8154, 30: 10292, 32: 14692, 36: 27425, 38: 23596, 40: 11962},
-    ("Category Inverse Choice", 7, 6): {14: 1957, 27: 8230, 33: 23945, 37: 29286, 39: 24519, 41: 12063},
-    ("Category Inverse Choice", 7, 7): {16: 599, 26: 8344, 34: 22981, 37: 20883, 40: 28045, 42: 19148},
-    ("Category Inverse Choice", 7, 8): {14: 3639, 31: 8907, 34: 10904, 37: 20148, 39: 20219, 41: 21627, 42: 14556},
+    ("Category Inverse Choice", 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", 8, 0): {0: 100000},
-    ("Category Inverse Choice", 8, 1): {10: 752, 17: 8385, 24: 21460, 26: 15361, 29: 23513, 31: 12710, 35: 17819},
-    ("Category Inverse Choice", 8, 2): {
-        11: 5900,
-        26: 10331,
-        29: 11435,
-        31: 14533,
-        34: 23939,
-        36: 13855,
-        38: 10165,
-        40: 9842,
-    },
-    ("Category Inverse Choice", 8, 3): {12: 2241, 26: 8099, 32: 20474, 34: 14786, 38: 31140, 40: 11751, 42: 11509},
-    ("Category Inverse Choice", 8, 4): {16: 1327, 27: 8361, 34: 19865, 36: 15078, 40: 32325, 42: 12218, 44: 10826},
-    ("Category Inverse Choice", 8, 5): {
-        16: 4986,
-        32: 9031,
-        35: 10214,
-        37: 14528,
-        41: 25608,
-        42: 16131,
-        44: 11245,
-        46: 8257,
-    },
-    ("Category Inverse Choice", 8, 6): {16: 2392, 32: 8742, 38: 23237, 42: 26333, 45: 30725, 47: 8571},
-    ("Category Inverse Choice", 8, 7): {20: 1130, 32: 8231, 39: 22137, 43: 28783, 45: 25221, 47: 14498},
-    ("Category Inverse Choice", 8, 8): {20: 73, 28: 8033, 40: 21670, 43: 20615, 46: 28105, 48: 21504},
+    ("Category 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 Pair", 0, 0): {0: 100000},
     ("Category Pair", 0, 1): {0: 100000},
     ("Category Pair", 0, 2): {0: 100000},
@@ -791,7 +764,7 @@ yacht_weights = {
     ("Category Three of a Kind", 2, 7): {0: 100000},
     ("Category Three of a Kind", 2, 8): {0: 100000},
     ("Category Three of a Kind", 3, 0): {0: 100000},
-    ("Category Three of a Kind", 3, 1): {0: 97222, 20: 2778},
+    ("Category Three of a Kind", 3, 1): {0: 100000},
     ("Category Three of a Kind", 3, 2): {0: 88880, 20: 11120},
     ("Category Three of a Kind", 3, 3): {0: 78187, 20: 21813},
     ("Category Three of a Kind", 3, 4): {0: 67476, 20: 32524},
@@ -881,7 +854,7 @@ yacht_weights = {
     ("Category Four of a Kind", 3, 7): {0: 100000},
     ("Category Four of a Kind", 3, 8): {0: 100000},
     ("Category Four of a Kind", 4, 0): {0: 100000},
-    ("Category Four of a Kind", 4, 1): {0: 99516, 30: 484},
+    ("Category Four of a Kind", 4, 1): {0: 100000},
     ("Category Four of a Kind", 4, 2): {0: 96122, 30: 3878},
     ("Category Four of a Kind", 4, 3): {0: 89867, 30: 10133},
     ("Category Four of a Kind", 4, 4): {0: 81771, 30: 18229},
@@ -1304,7 +1277,7 @@ yacht_weights = {
     ("Category Yacht", 5, 7): {0: 67007, 50: 32993},
     ("Category Yacht", 5, 8): {0: 58618, 50: 41382},
     ("Category Yacht", 6, 0): {0: 100000},
-    ("Category Yacht", 6, 1): {0: 99571, 50: 429},
+    ("Category Yacht", 6, 1): {0: 100000},
     ("Category Yacht", 6, 2): {0: 94726, 50: 5274},
     ("Category Yacht", 6, 3): {0: 84366, 50: 15634},
     ("Category Yacht", 6, 4): {0: 70782, 50: 29218},
@@ -1313,7 +1286,7 @@ yacht_weights = {
     ("Category Yacht", 6, 7): {0: 33578, 50: 66422},
     ("Category Yacht", 6, 8): {0: 25079, 50: 74921},
     ("Category Yacht", 7, 0): {0: 100000},
-    ("Category Yacht", 7, 1): {0: 98833, 50: 1167},
+    ("Category Yacht", 7, 1): {0: 100000},
     ("Category Yacht", 7, 2): {0: 87511, 50: 12489},
     ("Category Yacht", 7, 3): {0: 68252, 50: 31748},
     ("Category Yacht", 7, 4): {0: 49065, 50: 50935},
@@ -1346,51 +1319,51 @@ 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, 2: 41714, 3: 55526},
-    ("Category Distincts", 3, 2): {1: 78, 3: 99922},
+    ("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: 494, 3: 71611, 4: 27895},
-    ("Category Distincts", 4, 2): {1: 1893, 3: 36922, 4: 61185},
-    ("Category Distincts", 4, 3): {2: 230, 4: 99770},
-    ("Category Distincts", 4, 4): {2: 21, 4: 99979},
+    ("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, 3: 38538, 4: 55664},
-    ("Category Distincts", 5, 2): {2: 196, 4: 68119, 5: 31685},
-    ("Category Distincts", 5, 3): {2: 3022, 4: 44724, 5: 52254},
-    ("Category Distincts", 5, 4): {3: 722, 4: 31632, 5: 67646},
-    ("Category Distincts", 5, 5): {3: 215, 4: 21391, 5: 78394},
-    ("Category Distincts", 5, 6): {3: 55, 5: 99945},
-    ("Category Distincts", 5, 7): {3: 15, 5: 99985},
+    ("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: 2027, 3: 22985, 4: 50464, 5: 24524},
-    ("Category Distincts", 6, 2): {2: 3299, 4: 35174, 5: 61527},
-    ("Category Distincts", 6, 3): {3: 417, 5: 79954, 6: 19629},
-    ("Category Distincts", 6, 4): {3: 7831, 5: 61029, 6: 31140},
-    ("Category Distincts", 6, 5): {3: 3699, 5: 54997, 6: 41304},
-    ("Category Distincts", 6, 6): {4: 1557, 5: 47225, 6: 51218},
-    ("Category Distincts", 6, 7): {4: 728, 5: 40465, 6: 58807},
-    ("Category Distincts", 6, 8): {4: 321, 5: 33851, 6: 65828},
-    ("Category Distincts", 7, 1): {1: 665, 4: 57970, 5: 41365},
-    ("Category Distincts", 7, 2): {2: 839, 5: 75578, 6: 23583},
-    ("Category Distincts", 7, 3): {3: 6051, 5: 50312, 6: 43637},
-    ("Category Distincts", 7, 4): {3: 1796, 5: 38393, 6: 59811},
-    ("Category Distincts", 7, 5): {4: 529, 5: 27728, 6: 71743},
-    ("Category Distincts", 7, 6): {4: 164, 6: 99836},
-    ("Category Distincts", 7, 7): {4: 53, 6: 99947},
-    ("Category Distincts", 7, 8): {4: 14, 6: 99986},
-    ("Category Distincts", 8, 1): {1: 7137, 4: 36582, 5: 56281},
-    ("Category Distincts", 8, 2): {2: 233, 5: 59964, 6: 39803},
-    ("Category Distincts", 8, 3): {3: 1976, 5: 34748, 6: 63276},
-    ("Category Distincts", 8, 4): {4: 389, 5: 21008, 6: 78603},
-    ("Category Distincts", 8, 5): {4: 78, 6: 99922},
+    ("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},
@@ -1404,8 +1377,8 @@ yacht_weights = {
     ("Category Two times Ones", 0, 7): {0: 100000},
     ("Category Two times Ones", 0, 8): {0: 100000},
     ("Category Two times Ones", 1, 0): {0: 100000},
-    ("Category Two times Ones", 1, 1): {0: 83475, 2: 16525},
-    ("Category Two times Ones", 1, 2): {0: 69690, 2: 30310},
+    ("Category Two times Ones", 1, 1): {0: 100000},
+    ("Category Two times Ones", 1, 2): {0: 100000},
     ("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},
@@ -1413,68 +1386,68 @@ 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: 69724, 2: 30276},
-    ("Category Two times Ones", 2, 2): {0: 48238, 2: 42479, 4: 9283},
-    ("Category Two times Ones", 2, 3): {0: 33290, 2: 48819, 4: 17891},
-    ("Category Two times Ones", 2, 4): {0: 23136, 2: 49957, 4: 26907},
-    ("Category Two times Ones", 2, 5): {0: 16146, 2: 48200, 4: 35654},
-    ("Category Two times Ones", 2, 6): {0: 11083, 2: 44497, 4: 44420},
-    ("Category Two times Ones", 2, 7): {0: 7662, 2: 40343, 4: 51995},
-    ("Category Two times Ones", 2, 8): {0: 5354, 2: 35526, 4: 59120},
+    ("Category Two times Ones", 2, 1): {0: 100000},
+    ("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", 3, 0): {0: 100000},
-    ("Category Two times Ones", 3, 1): {0: 58021, 2: 34522, 4: 7457},
-    ("Category Two times Ones", 3, 2): {0: 33548, 2: 44261, 4: 22191},
-    ("Category Two times Ones", 3, 3): {0: 19375, 2: 42372, 4: 30748, 6: 7505},
-    ("Category Two times Ones", 3, 4): {0: 10998, 2: 36435, 4: 38569, 6: 13998},
-    ("Category Two times Ones", 3, 5): {0: 6519, 2: 28838, 4: 43283, 6: 21360},
-    ("Category Two times Ones", 3, 6): {0: 3619, 2: 22498, 4: 44233, 6: 29650},
-    ("Category Two times Ones", 3, 7): {0: 2195, 2: 16979, 4: 43684, 6: 37142},
-    ("Category Two times Ones", 3, 8): {0: 1255, 2: 12420, 4: 40920, 6: 45405},
+    ("Category Two times Ones", 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", 4, 0): {0: 100000},
-    ("Category Two times Ones", 4, 1): {0: 48235, 2: 38602, 4: 13163},
-    ("Category Two times Ones", 4, 2): {0: 23289, 2: 40678, 4: 27102, 6: 8931},
-    ("Category Two times Ones", 4, 3): {0: 11177, 2: 32677, 4: 35702, 6: 20444},
-    ("Category Two times Ones", 4, 4): {0: 5499, 2: 23225, 4: 37240, 6: 26867, 8: 7169},
-    ("Category Two times Ones", 4, 5): {0: 2574, 2: 15782, 4: 34605, 6: 34268, 8: 12771},
-    ("Category Two times Ones", 4, 6): {0: 1259, 4: 39616, 6: 39523, 8: 19602},
-    ("Category Two times Ones", 4, 7): {0: 622, 4: 30426, 6: 41894, 8: 27058},
-    ("Category Two times Ones", 4, 8): {0: 4091, 4: 18855, 6: 42309, 8: 34745},
+    ("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", 5, 0): {0: 100000},
-    ("Category Two times Ones", 5, 1): {0: 40028, 2: 40241, 4: 19731},
-    ("Category Two times Ones", 5, 2): {0: 16009, 2: 35901, 4: 31024, 6: 17066},
-    ("Category Two times Ones", 5, 3): {0: 6489, 2: 23477, 4: 34349, 6: 25270, 8: 10415},
-    ("Category Two times Ones", 5, 4): {0: 2658, 2: 14032, 4: 30199, 6: 32214, 8: 20897},
-    ("Category Two times Ones", 5, 5): {0: 1032, 4: 31627, 6: 33993, 8: 25853, 10: 7495},
-    ("Category Two times Ones", 5, 6): {0: 450, 4: 20693, 6: 32774, 8: 32900, 10: 13183},
-    ("Category Two times Ones", 5, 7): {0: 2396, 4: 11231, 6: 29481, 8: 37636, 10: 19256},
-    ("Category Two times Ones", 5, 8): {0: 1171, 6: 31564, 8: 40798, 10: 26467},
+    ("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", 6, 0): {0: 100000},
-    ("Category Two times Ones", 6, 1): {0: 33502, 2: 40413, 4: 26085},
-    ("Category Two times Ones", 6, 2): {0: 11210, 2: 29638, 4: 32701, 6: 18988, 8: 7463},
-    ("Category Two times Ones", 6, 3): {0: 3673, 2: 16459, 4: 29795, 6: 29102, 8: 20971},
-    ("Category Two times Ones", 6, 4): {0: 1243, 4: 30025, 6: 31053, 8: 25066, 10: 12613},
-    ("Category Two times Ones", 6, 5): {0: 4194, 4: 13949, 6: 28142, 8: 30723, 10: 22992},
-    ("Category Two times Ones", 6, 6): {0: 1800, 6: 30677, 8: 32692, 10: 26213, 12: 8618},
-    ("Category Two times Ones", 6, 7): {0: 775, 6: 21013, 8: 31410, 10: 32532, 12: 14270},
-    ("Category Two times Ones", 6, 8): {0: 2855, 6: 11432, 8: 27864, 10: 37237, 12: 20612},
+    ("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", 7, 0): {0: 100000},
-    ("Category Two times Ones", 7, 1): {0: 27683, 2: 39060, 4: 23574, 6: 9683},
-    ("Category Two times Ones", 7, 2): {0: 7824, 2: 24031, 4: 31764, 6: 23095, 8: 13286},
-    ("Category Two times Ones", 7, 3): {0: 2148, 2: 11019, 4: 24197, 6: 29599, 8: 21250, 10: 11787},
-    ("Category Two times Ones", 7, 4): {0: 564, 4: 19036, 6: 26395, 8: 28409, 10: 18080, 12: 7516},
-    ("Category Two times Ones", 7, 5): {0: 1913, 6: 27198, 8: 29039, 10: 26129, 12: 15721},
-    ("Category Two times Ones", 7, 6): {0: 54, 6: 17506, 8: 25752, 10: 30413, 12: 26275},
-    ("Category Two times Ones", 7, 7): {0: 2179, 8: 28341, 10: 32054, 12: 27347, 14: 10079},
-    ("Category Two times Ones", 7, 8): {0: 942, 8: 19835, 10: 30248, 12: 33276, 14: 15699},
+    ("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", 8, 0): {0: 100000},
-    ("Category Two times Ones", 8, 1): {0: 23378, 2: 37157, 4: 26082, 6: 13383},
-    ("Category Two times Ones", 8, 2): {0: 5420, 2: 19164, 4: 29216, 6: 25677, 8: 20523},
-    ("Category Two times Ones", 8, 3): {0: 1271, 4: 26082, 6: 27054, 8: 24712, 10: 20881},
-    ("Category Two times Ones", 8, 4): {0: 2889, 6: 29552, 8: 27389, 10: 23232, 12: 16938},
-    ("Category Two times Ones", 8, 5): {0: 879, 6: 16853, 8: 23322, 10: 27882, 12: 20768, 14: 10296},
-    ("Category Two times Ones", 8, 6): {0: 2041, 8: 24140, 10: 27398, 12: 27048, 14: 19373},
-    ("Category Two times Ones", 8, 7): {0: 74, 8: 15693, 10: 23675, 12: 30829, 14: 22454, 16: 7275},
-    ("Category Two times Ones", 8, 8): {2: 2053, 10: 25677, 12: 31310, 14: 28983, 16: 11977},
+    ("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 Half of Sixes", 0, 0): {0: 100000},
     ("Category Half of Sixes", 0, 1): {0: 100000},
     ("Category Half of Sixes", 0, 2): {0: 100000},
@@ -1485,7 +1458,7 @@ yacht_weights = {
     ("Category Half of Sixes", 0, 7): {0: 100000},
     ("Category Half of Sixes", 0, 8): {0: 100000},
     ("Category Half of Sixes", 1, 0): {0: 100000},
-    ("Category Half of Sixes", 1, 1): {0: 83343, 3: 16657},
+    ("Category Half of Sixes", 1, 1): {0: 100000},
     ("Category Half of Sixes", 1, 2): {0: 69569, 3: 30431},
     ("Category Half of Sixes", 1, 3): {0: 57872, 3: 42128},
     ("Category Half of Sixes", 1, 4): {0: 48081, 3: 51919},
@@ -1495,1558 +1468,387 @@ yacht_weights = {
     ("Category Half of Sixes", 1, 8): {0: 23240, 3: 76760},
     ("Category Half of Sixes", 2, 0): {0: 100000},
     ("Category Half of Sixes", 2, 1): {0: 69419, 3: 30581},
-    ("Category Half of Sixes", 2, 2): {0: 48202, 3: 42590, 6: 9208},
-    ("Category Half of Sixes", 2, 3): {0: 33376, 3: 48849, 6: 17775},
-    ("Category Half of Sixes", 2, 4): {0: 23276, 3: 49810, 6: 26914},
-    ("Category Half of Sixes", 2, 5): {0: 16092, 3: 47718, 6: 36190},
-    ("Category Half of Sixes", 2, 6): {0: 11232, 3: 44515, 6: 44253},
-    ("Category Half of Sixes", 2, 7): {0: 7589, 3: 40459, 6: 51952},
-    ("Category Half of Sixes", 2, 8): {0: 5447, 3: 35804, 6: 58749},
+    ("Category Half of Sixes", 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", 3, 0): {0: 100000},
-    ("Category Half of Sixes", 3, 1): {0: 57964, 3: 34701, 6: 7335},
-    ("Category Half of Sixes", 3, 2): {0: 33637, 3: 44263, 6: 22100},
-    ("Category Half of Sixes", 3, 3): {0: 19520, 3: 42382, 6: 30676, 9: 7422},
-    ("Category Half of Sixes", 3, 4): {0: 11265, 3: 35772, 6: 39042, 9: 13921},
-    ("Category Half of Sixes", 3, 5): {0: 6419, 3: 28916, 6: 43261, 9: 21404},
-    ("Category Half of Sixes", 3, 6): {0: 3810, 3: 22496, 6: 44388, 9: 29306},
-    ("Category Half of Sixes", 3, 7): {0: 2174, 3: 16875, 6: 43720, 9: 37231},
-    ("Category Half of Sixes", 3, 8): {0: 1237, 3: 12471, 6: 41222, 9: 45070},
+    ("Category Half of Sixes", 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", 4, 0): {0: 100000},
-    ("Category Half of Sixes", 4, 1): {0: 48121, 3: 38786, 6: 13093},
-    ("Category Half of Sixes", 4, 2): {0: 23296, 3: 40989, 6: 26998, 9: 8717},
-    ("Category Half of Sixes", 4, 3): {0: 11233, 3: 32653, 6: 35710, 9: 20404},
-    ("Category Half of Sixes", 4, 4): {0: 5463, 3: 23270, 6: 37468, 9: 26734, 12: 7065},
-    ("Category Half of Sixes", 4, 5): {0: 2691, 3: 15496, 6: 34539, 9: 34635, 12: 12639},
-    ("Category Half of Sixes", 4, 6): {0: 1221, 3: 10046, 6: 29811, 9: 39190, 12: 19732},
-    ("Category Half of Sixes", 4, 7): {0: 599, 6: 30742, 9: 41614, 12: 27045},
-    ("Category Half of Sixes", 4, 8): {0: 309, 6: 22719, 9: 42236, 12: 34736},
+    ("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},
     ("Category Half of Sixes", 5, 0): {0: 100000},
-    ("Category Half of Sixes", 5, 1): {0: 40183, 3: 40377, 6: 19440},
-    ("Category Half of Sixes", 5, 2): {0: 16197, 3: 35494, 6: 30937, 9: 17372},
-    ("Category Half of Sixes", 5, 3): {0: 6583, 3: 23394, 6: 34432, 9: 25239, 12: 10352},
-    ("Category Half of Sixes", 5, 4): {0: 2636, 3: 14072, 6: 30134, 9: 32371, 12: 20787},
-    ("Category Half of Sixes", 5, 5): {0: 1075, 3: 7804, 6: 23010, 9: 34811, 12: 25702, 15: 7598},
-    ("Category Half of Sixes", 5, 6): {0: 418, 6: 20888, 9: 32809, 12: 32892, 15: 12993},
-    ("Category Half of Sixes", 5, 7): {0: 2365, 6: 11416, 9: 29072, 12: 37604, 15: 19543},
-    ("Category Half of Sixes", 5, 8): {0: 1246, 6: 7425, 9: 24603, 12: 40262, 15: 26464},
+    ("Category Half of Sixes", 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},
     ("Category Half of Sixes", 6, 0): {0: 100000},
-    ("Category Half of Sixes", 6, 1): {0: 33473, 3: 40175, 6: 20151, 9: 6201},
-    ("Category Half of Sixes", 6, 2): {0: 11147, 3: 29592, 6: 32630, 9: 19287, 12: 7344},
-    ("Category Half of Sixes", 6, 3): {0: 3628, 3: 16528, 6: 29814, 9: 29006, 12: 15888, 15: 5136},
-    ("Category Half of Sixes", 6, 4): {0: 1262, 3: 8236, 6: 21987, 9: 30953, 12: 24833, 15: 12729},
-    ("Category Half of Sixes", 6, 5): {0: 416, 6: 17769, 9: 27798, 12: 31197, 15: 18256, 18: 4564},
-    ("Category Half of Sixes", 6, 6): {0: 1796, 6: 8372, 9: 22175, 12: 32897, 15: 26264, 18: 8496},
-    ("Category Half of Sixes", 6, 7): {0: 791, 9: 21074, 12: 31385, 15: 32666, 18: 14084},
-    ("Category Half of Sixes", 6, 8): {0: 20, 9: 14150, 12: 28320, 15: 36982, 18: 20528},
+    ("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},
     ("Category Half of Sixes", 7, 0): {0: 100000},
-    ("Category Half of Sixes", 7, 1): {0: 27933, 3: 39105, 6: 23338, 9: 9624},
-    ("Category Half of Sixes", 7, 2): {0: 7794, 3: 23896, 6: 31832, 9: 23110, 12: 13368},
-    ("Category Half of Sixes", 7, 3): {0: 2138, 3: 11098, 6: 24140, 9: 29316, 12: 21386, 15: 11922},
-    ("Category Half of Sixes", 7, 4): {0: 590, 6: 19385, 9: 26233, 12: 28244, 15: 18118, 18: 7430},
-    ("Category Half of Sixes", 7, 5): {0: 1941, 6: 7953, 9: 19439, 12: 28977, 15: 26078, 18: 15612},
-    ("Category Half of Sixes", 7, 6): {0: 718, 9: 16963, 12: 25793, 15: 30535, 18: 20208, 21: 5783},
-    ("Category Half of Sixes", 7, 7): {0: 2064, 9: 7941, 12: 20571, 15: 31859, 18: 27374, 21: 10191},
-    ("Category Half of Sixes", 7, 8): {0: 963, 12: 19864, 15: 30313, 18: 33133, 21: 15727},
+    ("Category Half of Sixes", 7, 1): {0: 27933, 6: 72067},
+    ("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},
     ("Category Half of Sixes", 8, 0): {0: 100000},
-    ("Category Half of Sixes", 8, 1): {0: 23337, 3: 37232, 6: 25968, 9: 13463},
-    ("Category Half of Sixes", 8, 2): {0: 5310, 3: 18930, 6: 29232, 9: 26016, 12: 14399, 15: 6113},
-    ("Category Half of Sixes", 8, 3): {0: 1328, 3: 7328, 6: 18754, 9: 27141, 12: 24703, 15: 14251, 18: 6495},
-    ("Category Half of Sixes", 8, 4): {0: 2719, 6: 9554, 9: 20607, 12: 26898, 15: 23402, 18: 12452, 21: 4368},
-    ("Category Half of Sixes", 8, 5): {0: 905, 9: 16848, 12: 23248, 15: 27931, 18: 20616, 21: 10452},
-    ("Category Half of Sixes", 8, 6): {0: 1914, 9: 6890, 12: 17302, 15: 27235, 18: 27276, 21: 19383},
-    ("Category Half of Sixes", 8, 7): {0: 800, 12: 15127, 15: 23682, 18: 30401, 21: 22546, 24: 7444},
-    ("Category Half of Sixes", 8, 8): {0: 2041, 12: 7211, 15: 18980, 18: 30657, 21: 29074, 24: 12037},
-    ("Category Twos and Threes", 1, 1): {0: 66466, 3: 33534},
-    ("Category Twos and Threes", 1, 2): {0: 55640, 3: 44360},
-    ("Category Twos and Threes", 1, 3): {0: 46223, 3: 53777},
-    ("Category Twos and Threes", 1, 4): {0: 38552, 3: 61448},
-    ("Category Twos and Threes", 1, 5): {0: 32320, 3: 67680},
-    ("Category Twos and Threes", 1, 6): {0: 26733, 3: 73267},
-    ("Category Twos and Threes", 1, 7): {0: 22289, 3: 77711},
-    ("Category Twos and Threes", 1, 8): {0: 18676, 3: 81324},
-    ("Category Twos and Threes", 2, 1): {0: 44565, 2: 21965, 3: 25172, 5: 8298},
-    ("Category Twos and Threes", 2, 2): {0: 30855, 3: 51429, 6: 17716},
-    ("Category Twos and Threes", 2, 3): {0: 21509, 3: 51178, 6: 27313},
-    ("Category Twos and Threes", 2, 4): {0: 14935, 3: 48581, 6: 36484},
-    ("Category Twos and Threes", 2, 5): {0: 10492, 3: 44256, 6: 45252},
-    ("Category Twos and Threes", 2, 6): {0: 10775, 3: 35936, 6: 53289},
-    ("Category Twos and Threes", 2, 7): {0: 7375, 3: 32469, 6: 60156},
-    ("Category Twos and Threes", 2, 8): {0: 5212, 3: 35730, 6: 59058},
-    ("Category Twos and Threes", 3, 1): {0: 29892, 2: 22136, 3: 27781, 6: 20191},
-    ("Category Twos and Threes", 3, 2): {0: 17285, 3: 44257, 6: 38458},
-    ("Category Twos and Threes", 3, 3): {0: 9889, 3: 36505, 6: 40112, 8: 13494},
-    ("Category Twos and Threes", 3, 4): {0: 5717, 3: 28317, 6: 43044, 9: 22922},
-    ("Category Twos and Threes", 3, 5): {0: 5795, 3: 19123, 6: 45004, 9: 30078},
-    ("Category Twos and Threes", 3, 6): {0: 3273, 3: 21888, 6: 36387, 9: 38452},
-    ("Category Twos and Threes", 3, 7): {0: 1917, 3: 16239, 6: 35604, 9: 46240},
-    ("Category Twos and Threes", 3, 8): {0: 1124, 3: 12222, 6: 33537, 9: 53117},
-    ("Category Twos and Threes", 4, 1): {0: 19619, 3: 46881, 6: 33500},
-    ("Category Twos and Threes", 4, 2): {0: 9395, 3: 33926, 6: 37832, 9: 18847},
-    ("Category Twos and Threes", 4, 3): {0: 4538, 3: 22968, 6: 38891, 9: 33603},
-    ("Category Twos and Threes", 4, 4): {0: 4402, 3: 12654, 6: 35565, 9: 34784, 11: 12595},
-    ("Category Twos and Threes", 4, 5): {0: 2065, 3: 14351, 6: 23592, 9: 38862, 12: 21130},
-    ("Category Twos and Threes", 4, 6): {0: 1044, 3: 9056, 6: 20013, 9: 41255, 12: 28632},
-    ("Category Twos and Threes", 4, 7): {0: 6310, 7: 24021, 9: 34297, 12: 35372},
-    ("Category Twos and Threes", 4, 8): {0: 3694, 6: 18611, 9: 34441, 12: 43254},
-    ("Category Twos and Threes", 5, 1): {0: 13070, 3: 33021, 5: 24568, 6: 16417, 8: 12924},
-    ("Category Twos and Threes", 5, 2): {0: 5213, 3: 24275, 6: 37166, 9: 24746, 11: 8600},
-    ("Category Twos and Threes", 5, 3): {0: 4707, 3: 10959, 6: 31388, 9: 33265, 12: 19681},
-    ("Category Twos and Threes", 5, 4): {0: 1934, 3: 12081, 6: 17567, 9: 35282, 12: 33136},
-    ("Category Twos and Threes", 5, 5): {0: 380, 2: 7025, 6: 13268, 9: 33274, 12: 33255, 14: 12798},
-    ("Category Twos and Threes", 5, 6): {0: 3745, 6: 15675, 9: 22902, 12: 44665, 15: 13013},
-    ("Category Twos and Threes", 5, 7): {0: 1969, 6: 10700, 9: 19759, 12: 39522, 15: 28050},
-    ("Category Twos and Threes", 5, 8): {0: 13, 2: 7713, 10: 23957, 12: 32501, 15: 35816},
-    ("Category Twos and Threes", 6, 1): {0: 8955, 3: 26347, 5: 24850, 8: 39848},
-    ("Category Twos and Threes", 6, 2): {0: 2944, 3: 16894, 6: 32156, 9: 37468, 12: 10538},
-    ("Category Twos and Threes", 6, 3): {0: 2484, 3: 13120, 6: 15999, 9: 32271, 12: 24898, 14: 11228},
-    ("Category Twos and Threes", 6, 4): {0: 320, 2: 6913, 6: 10814, 9: 28622, 12: 31337, 15: 21994},
-    ("Category Twos and Threes", 6, 5): {0: 3135, 6: 12202, 9: 16495, 12: 33605, 15: 26330, 17: 8233},
-    ("Category Twos and Threes", 6, 6): {0: 98, 3: 8409, 9: 12670, 12: 31959, 15: 38296, 18: 8568},
-    ("Category Twos and Threes", 6, 7): {0: 4645, 9: 15210, 12: 21906, 15: 44121, 18: 14118},
-    ("Category Twos and Threes", 6, 8): {0: 2367, 9: 10679, 12: 18916, 15: 38806, 18: 29232},
-    ("Category Twos and Threes", 7, 1): {0: 5802, 3: 28169, 6: 26411, 9: 31169, 11: 8449},
-    ("Category Twos and Threes", 7, 2): {0: 4415, 6: 34992, 9: 31238, 12: 20373, 14: 8982},
-    ("Category Twos and Threes", 7, 3): {0: 471, 2: 8571, 6: 10929, 9: 28058, 12: 28900, 14: 14953, 16: 8118},
-    ("Category Twos and Threes", 7, 4): {0: 3487, 6: 12139, 9: 14001, 12: 30314, 15: 23096, 18: 16963},
-    ("Category Twos and Threes", 7, 5): {0: 40, 2: 7460, 12: 36006, 15: 31388, 18: 25106},
-    ("Category Twos and Threes", 7, 6): {0: 3554, 9: 11611, 12: 15116, 15: 32501, 18: 27524, 20: 9694},
-    ("Category Twos and Threes", 7, 7): {0: 157, 6: 8396, 13: 19880, 15: 22333, 18: 39121, 21: 10113},
-    ("Category Twos and Threes", 7, 8): {0: 31, 5: 4682, 12: 14446, 15: 20934, 18: 44127, 21: 15780},
-    ("Category Twos and Threes", 8, 1): {0: 3799, 3: 22551, 6: 23754, 8: 29290, 10: 11990, 12: 8616},
-    ("Category Twos and Threes", 8, 2): {0: 902, 4: 14360, 6: 13750, 9: 29893, 13: 30770, 15: 10325},
-    ("Category Twos and Threes", 8, 3): {0: 2221, 4: 8122, 9: 23734, 12: 28527, 16: 28942, 18: 8454},
-    ("Category Twos and Threes", 8, 4): {0: 140, 3: 8344, 12: 33635, 15: 28711, 18: 20093, 20: 9077},
-    ("Category Twos and Threes", 8, 5): {0: 3601, 9: 10269, 12: 12458, 15: 28017, 18: 24815, 21: 20840},
-    ("Category Twos and Threes", 8, 6): {0: 4104, 11: 10100, 15: 25259, 18: 30949, 21: 29588},
-    ("Category Twos and Threes", 8, 7): {0: 3336, 12: 10227, 15: 14149, 18: 31155, 21: 29325, 23: 11808},
-    ("Category Twos and Threes", 8, 8): {3: 7, 5: 7726, 16: 17997, 18: 21517, 21: 40641, 24: 12112},
-    ("Category Sum of Odds", 1, 1): {0: 50084, 1: 16488, 3: 16584, 5: 16844},
-    ("Category Sum of Odds", 1, 2): {0: 44489, 3: 27886, 5: 27625},
-    ("Category Sum of Odds", 1, 3): {0: 27892, 3: 32299, 5: 39809},
-    ("Category Sum of Odds", 1, 4): {0: 30917, 3: 19299, 5: 49784},
-    ("Category Sum of Odds", 1, 5): {0: 25892, 3: 15941, 5: 58167},
-    ("Category Sum of Odds", 1, 6): {0: 21678, 3: 13224, 5: 65098},
-    ("Category Sum of Odds", 1, 7): {0: 17840, 3: 11191, 5: 70969},
-    ("Category Sum of Odds", 1, 8): {0: 14690, 5: 85310},
-    ("Category Sum of Odds", 2, 1): {0: 24611, 1: 19615, 3: 22234, 6: 25168, 8: 8372},
-    ("Category Sum of Odds", 2, 2): {0: 11216, 3: 33181, 6: 32416, 8: 15414, 10: 7773},
-    ("Category Sum of Odds", 2, 3): {0: 13730, 3: 17055, 5: 34933, 8: 18363, 10: 15919},
-    ("Category Sum of Odds", 2, 4): {0: 9599, 3: 11842, 5: 34490, 8: 19129, 10: 24940},
-    ("Category Sum of Odds", 2, 5): {0: 6652, 5: 40845, 8: 18712, 10: 33791},
-    ("Category Sum of Odds", 2, 6): {0: 10404, 5: 20970, 8: 26124, 10: 42502},
-    ("Category Sum of Odds", 2, 7): {0: 7262, 5: 26824, 8: 15860, 10: 50054},
-    ("Category Sum of Odds", 2, 8): {0: 4950, 5: 23253, 8: 14179, 10: 57618},
-    ("Category Sum of Odds", 3, 1): {0: 12467, 1: 16736, 4: 20970, 6: 29252, 8: 11660, 10: 8915},
-    ("Category Sum of Odds", 3, 2): {0: 8635, 3: 15579, 6: 27649, 9: 30585, 13: 17552},
-    ("Category Sum of Odds", 3, 3): {0: 5022, 6: 32067, 8: 21631, 11: 24032, 13: 17248},
-    ("Category Sum of Odds", 3, 4): {0: 8260, 6: 17955, 8: 18530, 11: 28631, 13: 14216, 15: 12408},
-    ("Category Sum of Odds", 3, 5): {0: 4685, 5: 13863, 8: 14915, 11: 30363, 13: 16370, 15: 19804},
-    ("Category Sum of Odds", 3, 6): {0: 2766, 5: 10213, 8: 11372, 10: 30968, 13: 17133, 15: 27548},
-    ("Category Sum of Odds", 3, 7): {0: 543, 3: 8448, 10: 28784, 13: 26258, 15: 35967},
-    ("Category Sum of Odds", 3, 8): {0: 3760, 6: 8911, 11: 27672, 13: 16221, 15: 43436},
-    ("Category Sum of Odds", 4, 1): {0: 18870, 5: 28873, 6: 18550, 9: 20881, 11: 12826},
-    ("Category Sum of Odds", 4, 2): {0: 7974, 6: 23957, 9: 27982, 11: 15953, 13: 13643, 15: 10491},
-    ("Category Sum of Odds", 4, 3): {0: 1778, 3: 8154, 8: 25036, 11: 24307, 13: 18030, 15: 14481, 18: 8214},
-    ("Category Sum of Odds", 4, 4): {0: 1862, 4: 8889, 8: 11182, 11: 21997, 13: 19483, 16: 20879, 20: 15708},
-    ("Category Sum of Odds", 4, 5): {0: 5687, 7: 8212, 11: 18674, 13: 17578, 16: 25572, 18: 12704, 20: 11573},
-    ("Category Sum of Odds", 4, 6): {0: 6549, 11: 17161, 13: 15290, 16: 28355, 18: 14865, 20: 17780},
-    ("Category Sum of Odds", 4, 7): {0: 5048, 10: 11824, 13: 12343, 16: 29544, 18: 15947, 20: 25294},
-    ("Category Sum of Odds", 4, 8): {0: 3060, 10: 8747, 15: 29415, 18: 25762, 20: 33016},
-    ("Category Sum of Odds", 5, 1): {0: 3061, 3: 22078, 6: 26935, 9: 23674, 11: 15144, 14: 9108},
-    ("Category Sum of Odds", 5, 2): {0: 5813, 7: 19297, 9: 14666, 11: 17165, 14: 21681, 16: 10586, 18: 10792},
-    ("Category Sum of Odds", 5, 3): {0: 3881, 6: 9272, 9: 10300, 11: 13443, 14: 24313, 16: 13969, 19: 16420, 21: 8402},
-    ("Category Sum of Odds", 5, 4): {0: 4213, 8: 9656, 13: 24199, 16: 22188, 18: 16440, 20: 14313, 23: 8991},
-    ("Category Sum of Odds", 5, 5): {0: 4997, 10: 9128, 13: 11376, 16: 20859, 18: 17548, 21: 20120, 25: 15972},
-    ("Category Sum of Odds", 5, 6): {
-        0: 4581,
-        11: 8516,
-        14: 11335,
-        16: 10647,
-        18: 16866,
-        21: 24256,
-        23: 11945,
-        25: 11854,
-    },
-    ("Category Sum of Odds", 5, 7): {0: 176, 6: 8052, 16: 17535, 18: 14878, 21: 27189, 23: 14100, 25: 18070},
-    ("Category Sum of Odds", 5, 8): {0: 2, 2: 6622, 15: 12097, 18: 12454, 21: 28398, 23: 15254, 25: 25173},
-    ("Category Sum of Odds", 6, 1): {0: 11634, 4: 12188, 6: 16257, 9: 23909, 11: 13671, 13: 13125, 16: 9216},
-    ("Category Sum of Odds", 6, 2): {0: 1403, 4: 8241, 10: 22151, 12: 14245, 14: 15279, 17: 19690, 21: 18991},
-    ("Category Sum of Odds", 6, 3): {
-        0: 6079,
-        9: 10832,
-        12: 10094,
-        14: 13221,
-        17: 22538,
-        19: 12673,
-        21: 15363,
-        24: 9200,
-    },
-    ("Category Sum of Odds", 6, 4): {0: 5771, 11: 9419, 16: 22239, 19: 22715, 21: 12847, 23: 12798, 25: 9237, 28: 4974},
-    ("Category Sum of Odds", 6, 5): {
-        0: 2564,
-        11: 8518,
-        17: 20753,
-        19: 14121,
-        21: 13179,
-        23: 15752,
-        25: 14841,
-        28: 10272,
-    },
-    ("Category Sum of Odds", 6, 6): {0: 4310, 14: 8668, 19: 20891, 21: 12052, 23: 16882, 26: 19954, 30: 17243},
-    ("Category Sum of Odds", 6, 7): {
-        0: 5233,
-        16: 8503,
-        19: 11127,
-        21: 10285,
-        23: 16141,
-        26: 23993,
-        28: 12043,
-        30: 12675,
-    },
-    ("Category Sum of Odds", 6, 8): {0: 510, 12: 8107, 21: 17013, 23: 14396, 26: 26771, 28: 13964, 30: 19239},
-    ("Category Sum of Odds", 7, 1): {
-        0: 2591,
-        2: 8436,
-        5: 11759,
-        7: 13733,
-        9: 15656,
-        11: 14851,
-        13: 12301,
-        15: 11871,
-        18: 8802,
-    },
-    ("Category Sum of Odds", 7, 2): {
-        0: 4730,
-        8: 8998,
-        11: 10573,
-        13: 13099,
-        15: 13819,
-        17: 13594,
-        19: 12561,
-        21: 12881,
-        24: 9745,
-    },
-    ("Category Sum of Odds", 7, 3): {
-        0: 2549,
-        9: 8523,
-        15: 19566,
-        17: 12251,
-        19: 13562,
-        21: 13473,
-        23: 11918,
-        27: 18158,
-    },
-    ("Category Sum of Odds", 7, 4): {0: 6776, 14: 9986, 19: 20914, 22: 21006, 24: 12685, 26: 10835, 30: 17798},
-    ("Category Sum of Odds", 7, 5): {
-        0: 2943,
-        14: 8009,
-        20: 20248,
-        22: 11896,
-        24: 14166,
-        26: 12505,
-        28: 13136,
-        30: 10486,
-        33: 6611,
-    },
-    ("Category Sum of Odds", 7, 6): {
-        2: 1990,
-        15: 8986,
-        22: 19198,
-        24: 13388,
-        26: 12513,
-        28: 15893,
-        30: 15831,
-        35: 12201,
-    },
-    ("Category Sum of Odds", 7, 7): {
-        4: 559,
-        14: 8153,
-        21: 11671,
-        24: 12064,
-        26: 11473,
-        28: 16014,
-        31: 20785,
-        33: 10174,
-        35: 9107,
-    },
-    ("Category Sum of Odds", 7, 8): {0: 3, 8: 5190, 21: 8049, 24: 10585, 28: 25255, 31: 24333, 33: 12445, 35: 14140},
-    ("Category Sum of Odds", 8, 1): {0: 7169, 7: 19762, 9: 14044, 11: 14858, 13: 13399, 15: 10801, 17: 11147, 20: 8820},
-    ("Category Sum of Odds", 8, 2): {
-        0: 7745,
-        11: 10927,
-        14: 10849,
-        16: 13103,
-        18: 13484,
-        20: 12487,
-        22: 10815,
-        24: 11552,
-        27: 9038,
-    },
-    ("Category Sum of Odds", 8, 3): {
-        0: 3867,
-        12: 9356,
-        18: 19408,
-        20: 12379,
-        22: 12519,
-        24: 12260,
-        26: 11008,
-        28: 10726,
-        31: 8477,
-    },
-    ("Category Sum of Odds", 8, 4): {
-        1: 3971,
-        15: 9176,
-        21: 18732,
-        23: 12900,
-        25: 13405,
-        27: 11603,
-        29: 10400,
-        33: 19813,
-    },
-    ("Category Sum of Odds", 8, 5): {
-        1: 490,
-        12: 8049,
-        20: 9682,
-        23: 10177,
-        25: 12856,
-        27: 12369,
-        29: 12781,
-        32: 18029,
-        34: 11315,
-        38: 4252,
-    },
-    ("Category Sum of Odds", 8, 6): {
-        4: 86,
-        11: 8038,
-        22: 9157,
-        25: 10729,
-        27: 11053,
-        29: 13606,
-        31: 12383,
-        33: 14068,
-        35: 12408,
-        38: 8472,
-    },
-    ("Category Sum of Odds", 8, 7): {
-        6: 1852,
-        20: 8020,
-        27: 17455,
-        29: 12898,
-        31: 12181,
-        33: 15650,
-        35: 17577,
-        40: 14367,
-    },
-    ("Category Sum of Odds", 8, 8): {
-        4: 8,
-        11: 8008,
-        26: 10314,
-        29: 11446,
-        31: 10714,
-        33: 16060,
-        36: 21765,
-        38: 10622,
-        40: 11063,
-    },
-    ("Category Sum of Evens", 1, 1): {0: 49585, 2: 16733, 4: 16854, 6: 16828},
-    ("Category Sum of Evens", 1, 2): {0: 33244, 2: 11087, 4: 28025, 6: 27644},
-    ("Category Sum of Evens", 1, 3): {0: 22259, 4: 42357, 6: 35384},
-    ("Category Sum of Evens", 1, 4): {0: 18511, 4: 35651, 6: 45838},
-    ("Category Sum of Evens", 1, 5): {0: 15428, 4: 29656, 6: 54916},
-    ("Category Sum of Evens", 1, 6): {0: 12927, 4: 24370, 6: 62703},
-    ("Category Sum of Evens", 1, 7): {0: 14152, 4: 17087, 6: 68761},
-    ("Category Sum of Evens", 1, 8): {0: 11920, 4: 14227, 6: 73853},
-    ("Category Sum of Evens", 2, 1): {0: 25229, 2: 16545, 4: 19538, 6: 21987, 10: 16701},
-    ("Category Sum of Evens", 2, 2): {0: 11179, 4: 27164, 6: 24451, 8: 13966, 10: 15400, 12: 7840},
-    ("Category Sum of Evens", 2, 3): {0: 8099, 4: 16354, 6: 20647, 8: 17887, 10: 24736, 12: 12277},
-    ("Category Sum of Evens", 2, 4): {0: 5687, 4: 11219, 6: 20711, 8: 14290, 10: 26976, 12: 21117},
-    ("Category Sum of Evens", 2, 5): {0: 3991, 6: 27157, 8: 11641, 10: 26842, 12: 30369},
-    ("Category Sum of Evens", 2, 6): {0: 2741, 6: 23123, 10: 35050, 12: 39086},
-    ("Category Sum of Evens", 2, 7): {0: 1122, 6: 20538, 10: 30952, 12: 47388},
-    ("Category Sum of Evens", 2, 8): {0: 3950, 6: 14006, 10: 27341, 12: 54703},
-    ("Category Sum of Evens", 3, 1): {0: 12538, 2: 12516, 4: 16530, 6: 21270, 8: 13745, 10: 11209, 14: 12192},
-    ("Category Sum of Evens", 3, 2): {0: 7404, 4: 10459, 6: 15644, 8: 15032, 10: 18955, 12: 15021, 16: 17485},
-    ("Category Sum of Evens", 3, 3): {0: 2176, 6: 14148, 8: 12295, 10: 20247, 12: 18001, 14: 15953, 16: 17180},
-    ("Category Sum of Evens", 3, 4): {0: 4556, 8: 15062, 10: 17232, 12: 18975, 14: 15832, 16: 18749, 18: 9594},
-    ("Category Sum of Evens", 3, 5): {0: 2575, 8: 10825, 10: 13927, 12: 19533, 14: 14402, 16: 21954, 18: 16784},
-    ("Category Sum of Evens", 3, 6): {0: 1475, 6: 7528, 10: 10614, 12: 19070, 14: 12940, 16: 23882, 18: 24491},
-    ("Category Sum of Evens", 3, 7): {0: 862, 6: 5321, 12: 26291, 14: 10985, 16: 24254, 18: 32287},
-    ("Category Sum of Evens", 3, 8): {0: 138, 4: 4086, 12: 22703, 16: 32516, 18: 40557},
-    ("Category Sum of Evens", 4, 1): {0: 6214, 4: 20921, 6: 17434, 8: 15427, 10: 14158, 12: 11354, 16: 14492},
-    ("Category Sum of Evens", 4, 2): {
-        0: 2868,
-        6: 13362,
-        8: 10702,
-        10: 15154,
-        12: 15715,
-        14: 14104,
-        16: 12485,
-        20: 15610,
-    },
-    ("Category Sum of Evens", 4, 3): {
-        0: 573,
-        8: 10496,
-        10: 10269,
-        12: 12879,
-        14: 16224,
-        16: 17484,
-        18: 13847,
-        20: 10518,
-        22: 7710,
-    },
-    ("Category Sum of Evens", 4, 4): {
-        0: 1119,
-        6: 5124,
-        12: 17394,
-        14: 12763,
-        16: 17947,
-        18: 16566,
-        20: 13338,
-        22: 15749,
-    },
-    ("Category Sum of Evens", 4, 5): {0: 3477, 12: 12738, 16: 26184, 18: 18045, 20: 14172, 22: 16111, 24: 9273},
-    ("Category Sum of Evens", 4, 6): {0: 991, 12: 10136, 16: 21089, 18: 18805, 20: 13848, 22: 20013, 24: 15118},
-    ("Category Sum of Evens", 4, 7): {0: 2931, 16: 21174, 18: 18952, 20: 12601, 22: 21947, 24: 22395},
-    ("Category Sum of Evens", 4, 8): {0: 1798, 12: 6781, 18: 27146, 20: 11505, 22: 23056, 24: 29714},
-    ("Category Sum of Evens", 5, 1): {
-        0: 3192,
-        4: 13829,
-        6: 13373,
-        8: 13964,
-        10: 14656,
-        12: 13468,
-        14: 10245,
-        18: 17273,
-    },
-    ("Category Sum of Evens", 5, 2): {
-        0: 3217,
-        8: 10390,
-        12: 22094,
-        14: 13824,
-        16: 14674,
-        18: 12124,
-        22: 16619,
-        24: 7058,
-    },
-    ("Category Sum of Evens", 5, 3): {
-        0: 3904,
-        12: 11004,
-        14: 10339,
-        16: 13128,
-        18: 14686,
-        20: 15282,
-        22: 13294,
-        26: 18363,
-    },
-    ("Category Sum of Evens", 5, 4): {
-        0: 43,
-        4: 4025,
-        14: 10648,
-        16: 10437,
-        18: 12724,
-        20: 14710,
-        22: 16005,
-        24: 12896,
-        28: 18512,
-    },
-    ("Category Sum of Evens", 5, 5): {
-        0: 350,
-        8: 4392,
-        16: 11641,
-        18: 10297,
-        20: 12344,
-        22: 16826,
-        24: 15490,
-        26: 12235,
-        28: 16425,
-    },
-    ("Category Sum of Evens", 5, 6): {
-        0: 374,
-        10: 4670,
-        18: 13498,
-        22: 25729,
-        24: 17286,
-        26: 13565,
-        28: 15274,
-        30: 9604,
-    },
-    ("Category Sum of Evens", 5, 7): {0: 1473, 18: 11310, 22: 21341, 24: 18114, 26: 13349, 28: 19048, 30: 15365},
-    ("Category Sum of Evens", 5, 8): {0: 1, 4: 3753, 20: 10318, 22: 11699, 24: 18376, 26: 12500, 28: 21211, 30: 22142},
-    ("Category Sum of Evens", 6, 1): {
-        0: 4767,
-        6: 15250,
-        8: 11527,
-        10: 13220,
-        12: 13855,
-        14: 12217,
-        16: 10036,
-        20: 19128,
-    },
-    ("Category Sum of Evens", 6, 2): {
-        0: 1380,
-        6: 5285,
-        12: 13888,
-        14: 10495,
-        16: 12112,
-        18: 12962,
-        20: 12458,
-        22: 10842,
-        26: 14076,
-        28: 6502,
-    },
-    ("Category Sum of Evens", 6, 3): {
-        0: 1230,
-        16: 17521,
-        18: 10098,
-        20: 12628,
-        22: 13809,
-        24: 13594,
-        26: 11930,
-        30: 19190,
-    },
-    ("Category Sum of Evens", 6, 4): {0: 1235, 18: 15534, 22: 22081, 24: 13471, 26: 13991, 28: 12906, 32: 20782},
-    ("Category Sum of Evens", 6, 5): {0: 1241, 20: 15114, 24: 21726, 26: 13874, 28: 15232, 30: 12927, 34: 19886},
-    ("Category Sum of Evens", 6, 6): {0: 1224, 22: 15886, 26: 21708, 28: 15982, 30: 15534, 32: 12014, 34: 17652},
-    ("Category Sum of Evens", 6, 7): {4: 1437, 24: 17624, 28: 24727, 30: 17083, 32: 13001, 34: 15604, 36: 10524},
-    ("Category Sum of Evens", 6, 8): {4: 1707, 24: 11310, 28: 20871, 30: 18101, 32: 12842, 34: 18840, 36: 16329},
-    ("Category Sum of Evens", 7, 1): {
-        0: 6237,
-        8: 15390,
-        10: 11183,
-        12: 12690,
-        14: 12463,
-        16: 11578,
-        20: 17339,
-        22: 8870,
-        26: 4250,
-    },
-    ("Category Sum of Evens", 7, 2): {
-        0: 1433,
-        14: 16705,
-        18: 19797,
-        20: 11747,
-        22: 12101,
-        24: 10947,
-        28: 16547,
-        32: 10723,
-    },
-    ("Category Sum of Evens", 7, 3): {
-        0: 2135,
-        14: 5836,
-        20: 13766,
-        22: 10305,
-        24: 12043,
-        26: 13153,
-        28: 12644,
-        30: 10884,
-        34: 19234,
-    },
-    ("Category Sum of Evens", 7, 4): {
-        0: 1762,
-        22: 16471,
-        26: 20839,
-        28: 12907,
-        30: 13018,
-        32: 11907,
-        34: 10022,
-        38: 13074,
-    },
-    ("Category Sum of Evens", 7, 5): {
-        4: 1630,
-        24: 14719,
-        28: 20377,
-        30: 12713,
-        32: 13273,
-        34: 13412,
-        36: 10366,
-        40: 13510,
-    },
-    ("Category Sum of Evens", 7, 6): {
-        4: 1436,
-        26: 14275,
-        30: 20680,
-        32: 12798,
-        34: 15385,
-        36: 13346,
-        38: 10011,
-        40: 12069,
-    },
-    ("Category Sum of Evens", 7, 7): {
-        6: 2815,
-        24: 6584,
-        30: 16532,
-        32: 11106,
-        34: 15613,
-        36: 15702,
-        38: 12021,
-        40: 12478,
-        42: 7149,
-    },
-    ("Category Sum of Evens", 7, 8): {10: 1490, 30: 16831, 34: 23888, 36: 16970, 38: 12599, 40: 16137, 42: 12085},
-    ("Category Sum of Evens", 8, 1): {
-        0: 3709,
-        8: 10876,
-        12: 19246,
-        14: 11696,
-        16: 11862,
-        18: 11145,
-        22: 16877,
-        24: 9272,
-        28: 5317,
-    },
-    ("Category Sum of Evens", 8, 2): {
-        0: 1361,
-        16: 14530,
-        20: 17637,
-        22: 10922,
-        24: 11148,
-        26: 10879,
-        30: 17754,
-        34: 15769,
-    },
-    ("Category Sum of Evens", 8, 3): {
-        2: 1601,
-        22: 14895,
-        26: 18464,
-        28: 11561,
-        30: 12249,
-        32: 11747,
-        34: 10070,
-        38: 19413,
-    },
-    ("Category Sum of Evens", 8, 4): {
-        0: 2339,
-        20: 5286,
-        26: 11746,
-        30: 19858,
-        32: 12344,
-        34: 12243,
-        36: 11307,
-        40: 16632,
-        42: 8245,
-    },
-    ("Category Sum of Evens", 8, 5): {
-        4: 1798,
-        28: 14824,
-        32: 18663,
-        34: 12180,
-        36: 12458,
-        38: 12260,
-        40: 10958,
-        44: 16859,
-    },
-    ("Category Sum of Evens", 8, 6): {
-        6: 2908,
-        26: 6292,
-        32: 13573,
-        34: 10367,
-        36: 12064,
-        38: 12862,
-        40: 13920,
-        42: 11359,
-        46: 16655,
-    },
-    ("Category Sum of Evens", 8, 7): {
-        8: 2652,
-        28: 6168,
-        34: 13922,
-        36: 10651,
-        38: 12089,
-        40: 14999,
-        42: 13899,
-        44: 10574,
-        46: 15046,
-    },
-    ("Category Sum of Evens", 8, 8): {
-        10: 2547,
-        30: 6023,
-        36: 15354,
-        38: 10354,
-        40: 14996,
-        42: 16214,
-        44: 11803,
-        46: 13670,
-        48: 9039,
-    },
-    ("Category Double Threes and Fours", 1, 1): {0: 66749, 6: 16591, 8: 16660},
-    ("Category Double Threes and Fours", 1, 2): {0: 44675, 6: 27694, 8: 27631},
-    ("Category Double Threes and Fours", 1, 3): {0: 29592, 6: 35261, 8: 35147},
-    ("Category Double Threes and Fours", 1, 4): {0: 24601, 6: 29406, 8: 45993},
-    ("Category Double Threes and Fours", 1, 5): {0: 20499, 6: 24420, 8: 55081},
-    ("Category Double Threes and Fours", 1, 6): {0: 17116, 6: 20227, 8: 62657},
-    ("Category Double Threes and Fours", 1, 7): {0: 14193, 6: 17060, 8: 68747},
-    ("Category Double Threes and Fours", 1, 8): {0: 11977, 6: 13924, 8: 74099},
-    ("Category Double Threes and Fours", 2, 1): {0: 44382, 6: 22191, 8: 22251, 14: 11176},
-    ("Category Double Threes and Fours", 2, 2): {0: 19720, 6: 24652, 8: 24891, 14: 23096, 16: 7641},
-    ("Category Double Threes and Fours", 2, 3): {0: 8765, 6: 21008, 8: 20929, 12: 12201, 14: 24721, 16: 12376},
-    ("Category Double Threes and Fours", 2, 4): {0: 6164, 6: 14466, 8: 22828, 14: 35406, 16: 21136},
-    ("Category Double Threes and Fours", 2, 5): {0: 4307, 6: 10005, 8: 22620, 14: 32879, 16: 30189},
-    ("Category Double Threes and Fours", 2, 6): {0: 2879, 8: 28513, 14: 29530, 16: 39078},
-    ("Category Double Threes and Fours", 2, 7): {0: 2042, 8: 24335, 14: 26250, 16: 47373},
-    ("Category Double Threes and Fours", 2, 8): {0: 1385, 8: 23166, 14: 20907, 16: 54542},
-    ("Category Double Threes and Fours", 3, 1): {0: 29378, 6: 22335, 8: 22138, 14: 16783, 16: 9366},
-    ("Category Double Threes and Fours", 3, 2): {
-        0: 8894,
-        6: 16518,
-        8: 16277,
-        12: 10334,
-        14: 20757,
-        16: 12265,
-        22: 14955,
-    },
-    ("Category Double Threes and Fours", 3, 3): {
-        0: 2643,
-        8: 18522,
-        12: 11066,
-        14: 21922,
-        16: 11045,
-        20: 17235,
-        22: 17567,
-    },
-    ("Category Double Threes and Fours", 3, 4): {
-        0: 1523,
-        8: 13773,
-        14: 26533,
-        16: 18276,
-        20: 11695,
-        22: 18521,
-        24: 9679,
-    },
-    ("Category Double Threes and Fours", 3, 5): {0: 845, 8: 10218, 14: 20245, 16: 20293, 22: 31908, 24: 16491},
-    ("Category Double Threes and Fours", 3, 6): {0: 499, 8: 7230, 14: 15028, 16: 20914, 22: 31835, 24: 24494},
-    ("Category Double Threes and Fours", 3, 7): {0: 1298, 8: 5434, 16: 30595, 22: 29980, 24: 32693},
-    ("Category Double Threes and Fours", 3, 8): {0: 178, 6: 4363, 16: 27419, 22: 27614, 24: 40426},
-    ("Category Double Threes and Fours", 4, 1): {0: 19809, 6: 19538, 8: 19765, 14: 22348, 18: 12403, 22: 6137},
-    ("Category Double Threes and Fours", 4, 2): {
-        0: 3972,
-        8: 19440,
-        14: 27646,
-        16: 12978,
-        20: 11442,
-        22: 11245,
-        24: 6728,
-        28: 6549,
-    },
-    ("Category Double Threes and Fours", 4, 3): {
-        0: 745,
-        6: 7209,
-        14: 19403,
-        18: 11744,
-        20: 15371,
-        22: 15441,
-        26: 13062,
-        30: 17025,
-    },
-    ("Category Double Threes and Fours", 4, 4): {
-        0: 371,
-        6: 4491,
-        14: 13120,
-        16: 10176,
-        20: 11583,
-        22: 18508,
-        24: 10280,
-        28: 15624,
-        30: 15847,
-    },
-    ("Category Double Threes and Fours", 4, 5): {
-        0: 163,
-        6: 4251,
-        16: 15796,
-        22: 26145,
-        24: 17306,
-        28: 10930,
-        30: 16244,
-        32: 9165,
-    },
-    ("Category Double Threes and Fours", 4, 6): {0: 79, 16: 14439, 22: 21763, 24: 18861, 30: 29518, 32: 15340},
-    ("Category Double Threes and Fours", 4, 7): {0: 1042, 16: 12543, 22: 13634, 24: 20162, 30: 30259, 32: 22360},
-    ("Category Double Threes and Fours", 4, 8): {0: 20, 6: 2490, 16: 6901, 22: 10960, 24: 20269, 30: 29442, 32: 29918},
-    ("Category Double Threes and Fours", 5, 1): {
-        0: 13122,
-        6: 16411,
-        8: 16451,
-        14: 24768,
-        16: 10392,
-        22: 14528,
-        26: 4328,
-    },
-    ("Category Double Threes and Fours", 5, 2): {
-        0: 1676,
-        8: 10787,
-        14: 20218,
-        18: 11102,
-        20: 12668,
-        22: 12832,
-        26: 10994,
-        30: 15390,
-        34: 4333,
-    },
-    ("Category Double Threes and Fours", 5, 3): {
-        0: 223,
-        14: 12365,
-        16: 7165,
-        20: 11385,
-        22: 11613,
-        26: 15182,
-        28: 13665,
-        32: 14400,
-        36: 14002,
-    },
-    ("Category Double Threes and Fours", 5, 4): {
-        0: 95,
-        6: 2712,
-        16: 8862,
-        22: 18696,
-        26: 12373,
-        28: 13488,
-        30: 14319,
-        34: 12414,
-        38: 17041,
-    },
-    ("Category Double Threes and Fours", 5, 5): {
-        0: 1333,
-        14: 5458,
-        22: 13613,
-        24: 10772,
-        28: 11201,
-        30: 16810,
-        32: 10248,
-        36: 14426,
-        38: 16139,
-    },
-    ("Category Double Threes and Fours", 5, 6): {
-        0: 16,
-        16: 6354,
-        24: 16213,
-        30: 25369,
-        32: 16845,
-        36: 10243,
-        38: 15569,
-        40: 9391,
-    },
-    ("Category Double Threes and Fours", 5, 7): {
-        0: 161,
-        12: 3457,
-        24: 12437,
-        30: 21495,
-        32: 18636,
-        38: 28581,
-        40: 15233,
-    },
-    ("Category Double Threes and Fours", 5, 8): {
-        0: 478,
-        16: 4861,
-        26: 10119,
-        30: 13694,
-        32: 19681,
-        38: 29177,
-        40: 21990,
-    },
-    ("Category Double Threes and Fours", 6, 1): {
-        0: 8738,
-        6: 13463,
-        8: 12988,
-        14: 24653,
-        16: 11068,
-        22: 19621,
-        26: 5157,
-        30: 4312,
-    },
-    ("Category Double Threes and Fours", 6, 2): {
-        0: 784,
-        6: 5735,
-        14: 13407,
-        16: 8170,
-        20: 11349,
-        22: 11356,
-        26: 12465,
-        28: 10790,
-        30: 11527,
-        38: 14417,
-    },
-    ("Category Double Threes and Fours", 6, 3): {
-        0: 72,
-        14: 8986,
-        22: 13700,
-        26: 12357,
-        28: 12114,
-        32: 15882,
-        36: 19286,
-        40: 13540,
-        44: 4063,
-    },
-    ("Category Double Threes and Fours", 6, 4): {
-        0: 439,
-        18: 7427,
-        22: 9284,
-        28: 14203,
-        30: 10836,
-        34: 14646,
-        36: 12511,
-        38: 10194,
-        42: 10202,
-        46: 10258,
-    },
-    ("Category Double Threes and Fours", 6, 5): {
-        0: 166,
-        20: 7618,
-        24: 5198,
-        30: 17479,
-        34: 12496,
-        36: 12190,
-        38: 14163,
-        42: 12571,
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+    ("Category Quadruple Ones and Twos", 4, 5): {0: 1561, 20: 48731, 28: 49708},
+    ("Category Quadruple Ones and Twos", 4, 6): {0: 190, 20: 38723, 28: 42931, 32: 18156},
+    ("Category Quadruple Ones and Twos", 4, 7): {0: 5419, 24: 53017, 32: 41564},
+    ("Category Quadruple Ones and Twos", 4, 8): {0: 3135, 24: 47352, 32: 49513},
+    ("Category Quadruple Ones and Twos", 5, 1): {0: 13112, 8: 41252, 20: 45636},
+    ("Category Quadruple Ones and Twos", 5, 2): {0: 7293, 16: 50711, 28: 41996},
+    ("Category Quadruple Ones and Twos", 5, 3): {0: 719, 20: 55921, 32: 43360},
+    ("Category Quadruple Ones and Twos", 5, 4): {0: 1152, 20: 38570, 32: 60278},
+    ("Category Quadruple Ones and Twos", 5, 5): {0: 5647, 24: 40910, 36: 53443},
+    ("Category Quadruple Ones and Twos", 5, 6): {0: 194, 28: 51527, 40: 48279},
+    ("Category Quadruple Ones and Twos", 5, 7): {0: 1449, 28: 39301, 36: 41332, 40: 17918},
+    ("Category Quadruple Ones and Twos", 5, 8): {0: 6781, 32: 52834, 40: 40385},
+    ("Category Quadruple Ones and Twos", 6, 1): {0: 8646, 12: 53753, 24: 37601},
+    ("Category Quadruple Ones and Twos", 6, 2): {0: 844, 16: 40583, 28: 58573},
+    ("Category Quadruple Ones and Twos", 6, 3): {0: 1241, 24: 54870, 36: 43889},
+    ("Category Quadruple Ones and Twos", 6, 4): {0: 1745, 28: 53286, 40: 44969},
+    ("Category Quadruple Ones and Twos", 6, 5): {0: 2076, 32: 56909, 44: 41015},
+    ("Category Quadruple Ones and Twos", 6, 6): {0: 6827, 32: 39400, 44: 53773},
+    ("Category Quadruple Ones and Twos", 6, 7): {0: 1386, 36: 49865, 48: 48749},
+    ("Category Quadruple Ones and Twos", 6, 8): {0: 1841, 36: 38680, 44: 40600, 48: 18879},
+    ("Category Quadruple Ones and Twos", 7, 1): {0: 5780, 12: 46454, 24: 47766},
+    ("Category Quadruple Ones and Twos", 7, 2): {0: 6122, 20: 38600, 32: 55278},
+    ("Category Quadruple Ones and Twos", 7, 3): {0: 2065, 28: 52735, 40: 45200},
+    ("Category Quadruple Ones and Twos", 7, 4): {0: 1950, 32: 50270, 44: 47780},
+    ("Category Quadruple Ones and Twos", 7, 5): {0: 2267, 36: 49235, 48: 48498},
+    ("Category Quadruple Ones and Twos", 7, 6): {0: 2500, 40: 53934, 52: 43566},
+    ("Category Quadruple Ones and Twos", 7, 7): {0: 6756, 44: 53730, 56: 39514},
+    ("Category Quadruple Ones and Twos", 7, 8): {0: 3625, 44: 45159, 56: 51216},
+    ("Category Quadruple Ones and Twos", 8, 1): {0: 11493, 16: 50043, 28: 38464},
+    ("Category Quadruple Ones and Twos", 8, 2): {0: 136, 24: 47795, 36: 52069},
+    ("Category Quadruple Ones and Twos", 8, 3): {0: 2744, 32: 51640, 48: 45616},
+    ("Category Quadruple Ones and Twos", 8, 4): {0: 2293, 36: 45979, 48: 51728},
+    ("Category Quadruple Ones and Twos", 8, 5): {0: 2181, 40: 44909, 52: 52910},
+    ("Category Quadruple Ones and Twos", 8, 6): {4: 2266, 44: 44775, 56: 52959},
+    ("Category Quadruple Ones and Twos", 8, 7): {8: 2344, 48: 50198, 60: 47458},
+    ("Category Quadruple Ones and Twos", 8, 8): {8: 2808, 48: 37515, 56: 37775, 64: 21902},
     ("Category Micro Straight", 1, 1): {0: 100000},
     ("Category Micro Straight", 1, 2): {0: 100000},
     ("Category Micro Straight", 1, 3): {0: 100000},
@@ -3527,7 +2329,7 @@ yacht_weights = {
     ("Category 4&5 Full House", 4, 6): {0: 100000},
     ("Category 4&5 Full House", 4, 7): {0: 100000},
     ("Category 4&5 Full House", 4, 8): {0: 100000},
-    ("Category 4&5 Full House", 5, 1): {0: 99724, 50: 276},
+    ("Category 4&5 Full House", 5, 1): {0: 100000},
     ("Category 4&5 Full House", 5, 2): {0: 96607, 50: 3393},
     ("Category 4&5 Full House", 5, 3): {0: 88788, 50: 11212},
     ("Category 4&5 Full House", 5, 4): {0: 77799, 50: 22201},
@@ -3535,7 +2337,7 @@ yacht_weights = {
     ("Category 4&5 Full House", 5, 6): {0: 54548, 50: 45452},
     ("Category 4&5 Full House", 5, 7): {0: 44898, 50: 55102},
     ("Category 4&5 Full House", 5, 8): {0: 36881, 50: 63119},
-    ("Category 4&5 Full House", 6, 1): {0: 98841, 50: 1159},
+    ("Category 4&5 Full House", 6, 1): {0: 100000},
     ("Category 4&5 Full House", 6, 2): {0: 88680, 50: 11320},
     ("Category 4&5 Full House", 6, 3): {0: 70215, 50: 29785},
     ("Category 4&5 Full House", 6, 4): {0: 50801, 50: 49199},
diff --git a/worlds/yachtdice/__init__.py b/worlds/yachtdice/__init__.py
index c36c5954..3a79eff0 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 = "2.1.1"
+    ap_world_version = "2.1.2"
 
     def _get_yachtdice_data(self):
         return {
@@ -190,7 +190,6 @@ class YachtDiceWorld(World):
             if self.frags_per_roll == 1:
                 self.itempool += ["Roll"] * num_of_rolls_to_add  # minus one because one is in start inventory
             else:
-                self.itempool.append("Roll")  # always add a full roll to make generation easier (will be early)
                 self.itempool += ["Roll Fragment"] * (self.frags_per_roll * num_of_rolls_to_add)
 
         already_items = len(self.itempool)
@@ -231,13 +230,10 @@ class YachtDiceWorld(World):
         weights["Dice"] = weights["Dice"] / 5 * self.frags_per_dice
         weights["Roll"] = weights["Roll"] / 5 * self.frags_per_roll
 
-        extra_points_added = 0
-        multipliers_added = 0
-        items_added = 0
-
-        def get_item_to_add(weights, extra_points_added, multipliers_added, items_added):
-            items_added += 1
+        extra_points_added = [0]  # make it a mutible type so we can change the value in the function
+        step_score_multipliers_added = [0]
 
+        def get_item_to_add(weights, extra_points_added, step_score_multipliers_added):
             all_items = self.itempool + self.precollected
             dice_fragments_in_pool = all_items.count("Dice") * self.frags_per_dice + all_items.count("Dice Fragment")
             if dice_fragments_in_pool + 1 >= 9 * self.frags_per_dice:
@@ -246,21 +242,18 @@ class YachtDiceWorld(World):
             if roll_fragments_in_pool + 1 >= 6 * self.frags_per_roll:
                 weights["Roll"] = 0  # don't allow >= 6 rolls
 
-            # Don't allow too many multipliers
-            if multipliers_added > 50:
-                weights["Fixed Score Multiplier"] = 0
-                weights["Step Score Multiplier"] = 0
-
             # Don't allow too many extra points
-            if extra_points_added > 300:
+            if extra_points_added[0] > 400:
                 weights["Points"] = 0
 
+            if step_score_multipliers_added[0] > 10:
+                weights["Step Score Multiplier"] = 0
+
             # if all weights are zero, allow to add fixed score multiplier, double category, points.
             if sum(weights.values()) == 0:
-                if multipliers_added <= 50:
-                    weights["Fixed Score Multiplier"] = 1
+                weights["Fixed Score Multiplier"] = 1
                 weights["Double category"] = 1
-                if extra_points_added <= 300:
+                if extra_points_added[0] <= 400:
                     weights["Points"] = 1
 
             # Next, add the appropriate item. We'll slightly alter weights to avoid too many of the same item
@@ -274,11 +267,10 @@ class YachtDiceWorld(World):
                 return "Roll" if self.frags_per_roll == 1 else "Roll Fragment"
             elif which_item_to_add == "Fixed Score Multiplier":
                 weights["Fixed Score Multiplier"] /= 1.05
-                multipliers_added += 1
                 return "Fixed Score Multiplier"
             elif which_item_to_add == "Step Score Multiplier":
                 weights["Step Score Multiplier"] /= 1.1
-                multipliers_added += 1
+                step_score_multipliers_added[0] += 1
                 return "Step Score Multiplier"
             elif which_item_to_add == "Double category":
                 # Below entries are the weights to add each category.
@@ -303,15 +295,15 @@ class YachtDiceWorld(World):
                 choice = self.random.choices(list(probs.keys()), weights=list(probs.values()))[0]
                 if choice == "1 Point":
                     weights["Points"] /= 1.01
-                    extra_points_added += 1
+                    extra_points_added[0] += 1
                     return "1 Point"
                 elif choice == "10 Points":
                     weights["Points"] /= 1.1
-                    extra_points_added += 10
+                    extra_points_added[0] += 10
                     return "10 Points"
                 elif choice == "100 Points":
                     weights["Points"] /= 2
-                    extra_points_added += 100
+                    extra_points_added[0] += 100
                     return "100 Points"
                 else:
                     raise Exception("Unknown point value (Yacht Dice)")
@@ -320,7 +312,7 @@ class YachtDiceWorld(World):
 
         # adding 17 items as a start seems like the smartest way to get close to 1000 points
         for _ in range(17):
-            self.itempool.append(get_item_to_add(weights, extra_points_added, multipliers_added, items_added))
+            self.itempool.append(get_item_to_add(weights, extra_points_added, step_score_multipliers_added))
 
         score_in_logic = dice_simulation_fill_pool(
             self.itempool + self.precollected,
@@ -348,7 +340,7 @@ class YachtDiceWorld(World):
         else:
             # Keep adding items until a score of 1000 is in logic
             while score_in_logic < 1000:
-                item_to_add = get_item_to_add(weights, extra_points_added, multipliers_added, items_added)
+                item_to_add = get_item_to_add(weights, extra_points_added, step_score_multipliers_added)
                 self.itempool.append(item_to_add)
                 if item_to_add == "1 Point":
                     score_in_logic += 1