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North South results

** best contract (NT or suit) average trick is 8.440
0 = 0.00% 0.00% 1 = 0.02% 0.02% 2 = 0.21% 0.23% 3 = 0.87% 1.09% 4 = 2.46% 3.55%
5 = 5.40% 8.95% 6 = 9.53% 18.48% 7 = 13.84% 32.32% 8 = 17.17% 49.49% 9 = 17.89% 67.38%
10 = 15.34% 82.71% 11 = 10.49% 93.20% 12 = 5.33% 98.53% 13 = 1.47% 100.00%

** best suit contract average trick is 8.424
0 = 0.00% 0.00% 1 = 0.02% 0.02% 2 = 0.21% 0.23% 3 = 0.87% 1.10% 4 = 2.49% 3.59%
5 = 5.46% 9.05% 6 = 9.61% 18.66% 7 = 13.95% 32.60% 8 = 17.23% 49.83% 9 = 17.88% 67.71%
10 = 15.24% 82.95% 11 = 10.35% 93.30% 12 = 5.24% 98.54% 13 = 1.46% 100.00%

** no trump average trick is 6.058
0 = 1.52% 1.52% 1 = 3.58% 5.10% 2 = 5.88% 10.98% 3 = 8.23% 19.21% 4 = 10.50% 29.71%
5 = 12.46% 42.17% 6 = 14.17% 56.34% 7 = 13.20% 69.54% 8 = 11.20% 80.74% 9 = 7.72% 88.46%
10 = 5.35% 93.81% 11 = 3.44% 97.25% 12 = 2.06% 99.31% 13 = 0.69% 100.00%

This is the best +ve score each side can get
North south score non-vul = 229.74
North south score vul = 311.88

North south cannot make any contract = 18.48%
North south make partial contract = 50.78%
North south make any game = 23.94%
North south make any small slam = 5.33%
North south make any grand slam = 1.47%

**** Trump suit 0 = spade, 1 = heart, 2 = diamond, 3 = club, 4 = none

0 = 426984 1 = 391467 2 = 358559 3 = 325334 4 = 281860
total count is 1784204

0 = 23.93% 1 = 21.94% 2 = 20.10% 3 = 18.23% 4 = 15.80%

**** Long suit point
0 = 13.34% 1 = 28.48% 2 = 28.38% 3 = 17.92% 4 = 8.14% 5 = 2.81% 6 = 0.75% 7 = 0.15%
8 = 0.02% 9 = 0.00% 10 = 0.00% 11 = 0.00% 12 = 0.00% 13 = 0.00% 14 = 0.00% 15 = 0.00%
16 = 0.00% 17 = 0.00% 18 = 0.00% 19 = 0.00%
average long suit point is 1.914

**** total short suit point
0 = 23.00% 1 = 18.77% 2 = 23.29% 3 = 17.79% 4 = 9.37% 5 = 4.22% 6 = 2.06% 7 = 0.85%
8 = 0.39% 9 = 0.16% 10 = 0.05% 11 = 0.03% 12 = 0.01% 13 = 0.00% 14 = 0.00% 15 = 0.00%
16 = 0.00% 17 = 0.00% 18 = 0.00% 19 = 0.00% 20 = 0.00% 21 = 0.00% 22 = 0.00% 23 = 0.00%
average short suit point is 2.011
**** total HCL high card plus length point

0 = 0.00% 1 = 0.00% 2 = 0.00% 3 = 0.00% 4 = 0.00% 5 = 0.01% 6 = 0.03% 7 = 0.07%
8 = 0.14% 9 = 0.25% 10 = 0.44% 11 = 0.74% 12 = 1.12% 13 = 1.65% 14 = 2.32% 15 = 3.10%
16 = 4.03% 17 = 4.96% 18 = 5.89% 19 = 6.74% 20 = 7.39% 21 = 7.78% 22 = 7.95% 23 = 7.75%
24 = 7.33% 25 = 6.60% 26 = 5.74% 27 = 4.81% 28 = 3.86% 29 = 2.99% 30 = 2.19% 31 = 1.56%
32 = 1.03% 33 = 0.67% 34 = 0.40% 35 = 0.23% 36 = 0.12% 37 = 0.06% 38 = 0.03% 39 = 0.01%
40 = 0.00% 41 = 0.00% 42 = 0.00% 43 = 0.00% 44 = 0.00% 45 = 0.00% 46 = 0.00% 47 = 0.00%
48 = 0.00% 49 = 0.00% 50 = 0.00% 51 = 0.00% 52 = 0.00% 53 = 0.00% 54 = 0.00% 55 = 0.00%
average HCL (high card plus length point) is 21.914

**** total point include HCP long suit and short suit point

0 = 0.00% 1 = 0.00% 2 = 0.00% 3 = 0.00% 4 = 0.00% 5 = 0.01% 6 = 0.01% 7 = 0.03%
8 = 0.07% 9 = 0.13% 10 = 0.23% 11 = 0.38% 12 = 0.62% 13 = 0.93% 14 = 1.38% 15 = 1.90%
16 = 2.55% 17 = 3.32% 18 = 4.13% 19 = 4.97% 20 = 5.78% 21 = 6.42% 22 = 6.99% 23 = 7.30%
24 = 7.35% 25 = 7.19% 26 = 6.82% 27 = 6.24% 28 = 5.52% 29 = 4.69% 30 = 3.90% 31 = 3.14%
32 = 2.41% 33 = 1.80% 34 = 1.30% 35 = 0.92% 36 = 0.62% 37 = 0.39% 38 = 0.24% 39 = 0.15%
40 = 0.08% 41 = 0.04% 42 = 0.03% 43 = 0.01% 44 = 0.01% 45 = 0.00% 46 = 0.00% 47 = 0.00%
48 = 0.00% 49 = 0.00% 50 = 0.00% 51 = 0.00% 52 = 0.00% 53 = 0.00% 54 = 0.00% 55 = 0.00%
56 = 0.00% 57 = 0.00% 58 = 0.00% 59 = 0.00% 60 = 0.00% 61 = 0.00% 62 = 0.00% 63 = 0.00%
average total point is 23.925

**** total trick distribution

77 = 10.53% 78 = 5.27% 79 = 0.00% 710 = 0.00% 711 = 0.00% 712 = 0.00% 713 = 0.00%
87 = 5.27% 88 = 27.00% 89 = 11.42% 810 = 1.95% 811 = 0.13% 812 = 0.00% 813 = 0.00%
97 = 0.00% 98 = 11.42% 99 = 11.70% 910 = 4.09% 911 = 0.76% 912 = 0.06% 913 = 0.00%
107 = 0.00% 108 = 1.95% 109 = 4.09%1010 = 2.03%1011 = 0.51%1012 = 0.07%1013 = 0.00%
117 = 0.00% 118 = 0.13% 119 = 0.76%1110 = 0.51%1111 = 0.15%1112 = 0.02%1113 = 0.00%
127 = 0.00% 128 = 0.00% 129 = 0.06%1210 = 0.07%1211 = 0.02%1212 = 0.01%1213 = 0.00%
137 = 0.00% 138 = 0.00% 139 = 0.00%1310 = 0.00%1311 = 0.00%1312 = 0.00%1313 = 0.00%

North hand statistic

** spade high card point average HCP is 2.502
0 = 30.34% 30.34% 1 = 11.00% 41.34% 2 = 10.98% 52.32% 3 = 14.51% 66.84% 4 = 14.52% 81.36%
5 = 7.12% 88.48% 6 = 4.58% 93.06% 7 = 4.61% 97.67% 8 = 1.02% 98.69% 9 = 1.04% 99.73%
10 = 0.27% 100.00%

** heart high card point average HCP is 2.503
0 = 30.40% 30.40% 1 = 10.97% 41.37% 2 = 10.94% 52.31% 3 = 14.44% 66.75% 4 = 14.57% 81.32%
5 = 7.12% 88.45% 6 = 4.61% 93.05% 7 = 4.60% 97.66% 8 = 1.04% 98.69% 9 = 1.04% 99.73%
10 = 0.27% 100.00%

** diamond high card point average HCP is 2.500
0 = 30.41% 30.41% 1 = 10.91% 41.32% 2 = 10.98% 52.30% 3 = 14.56% 66.86% 4 = 14.54% 81.40%
5 = 7.11% 88.51% 6 = 4.58% 93.09% 7 = 4.58% 97.67% 8 = 1.03% 98.70% 9 = 1.03% 99.73%
10 = 0.27% 100.00%

** club high card point average HCP is 2.500
0 = 30.36% 30.36% 1 = 11.00% 41.36% 2 = 10.99% 52.35% 3 = 14.53% 66.88% 4 = 14.51% 81.38%
5 = 7.10% 88.48% 6 = 4.59% 93.07% 7 = 4.58% 97.65% 8 = 1.04% 98.69% 9 = 1.05% 99.74%
10 = 0.26% 100.00%

** space suit length average length is 3.250
0 = 1.29% 1.29% 1 = 7.99% 9.28% 2 = 20.54% 29.82% 3 = 28.66% 58.48% 4 = 23.90% 82.38%
5 = 12.47% 94.86% 6 = 4.14% 99.00% 7 = 0.87% 99.87% 8 = 0.12% 99.99% 9 = 0.01% 100.00%
10 = 0.00% 100.00% 11 = 0.00% 100.00% 12 = 0.00% 100.00% 13 = 0.00% 100.00%

** heart suit length average length is 3.250
0 = 1.28% 1.28% 1 = 8.01% 9.30% 2 = 20.58% 29.88% 3 = 28.60% 58.48% 4 = 23.91% 82.39%
5 = 12.43% 94.82% 6 = 4.17% 98.98% 7 = 0.89% 99.88% 8 = 0.11% 99.99% 9 = 0.01% 100.00%
10 = 0.00% 100.00% 11 = 0.00% 100.00% 12 = 0.00% 100.00% 13 = 0.00% 100.00%

** diamond suit length average length is 3.250
0 = 1.28% 1.28% 1 = 8.01% 9.29% 2 = 20.54% 29.83% 3 = 28.60% 58.44% 4 = 23.96% 82.39%
5 = 12.47% 94.86% 6 = 4.13% 99.00% 7 = 0.88% 99.88% 8 = 0.12% 99.99% 9 = 0.01% 100.00%
10 = 0.00% 100.00% 11 = 0.00% 100.00% 12 = 0.00% 100.00% 13 = 0.00% 100.00%

** club suit length average length is 3.249
0 = 1.27% 1.27% 1 = 8.01% 9.29% 2 = 20.59% 29.87% 3 = 28.68% 58.56% 4 = 23.81% 82.37%
5 = 12.47% 94.83% 6 = 4.16% 98.99% 7 = 0.89% 99.88% 8 = 0.11% 99.99% 9 = 0.01% 100.00%
10 = 0.00% 100.00% 11 = 0.00% 100.00% 12 = 0.00% 100.00% 13 = 0.00% 100.00%

**** total HCP

0 = 6470 1 = 13995 2 = 24166 3 = 43993 4 = 68489 5 = 92722 6 = 116738 7 = 143867
8 = 158440 9 = 166407 10 = 166931 11 = 160028 12 = 143049 13 = 123377 14 = 101153 15 = 79201
16 = 59539 17 = 42180 18 = 28878 19 = 18506 20 = 11466 21 = 6932 22 = 3823 23 = 2047
24 = 973 25 = 481 26 = 206 27 = 91 28 = 39 29 = 13 30 = 4 31 = 0
32 = 0 33 = 0 34 = 0 35 = 0 36 = 0 37 = 0
total count is 1784204

0 = 0.36% 1 = 0.78% 2 = 1.35% 3 = 2.47% 4 = 3.84% 5 = 5.20% 6 = 6.54% 7 = 8.06%
8 = 8.88% 9 = 9.33% 10 = 9.36% 11 = 8.97% 12 = 8.02% 13 = 6.91% 14 = 5.67% 15 = 4.44%
16 = 3.34% 17 = 2.36% 18 = 1.62% 19 = 1.04% 20 = 0.64% 21 = 0.39% 22 = 0.21% 23 = 0.11%
24 = 0.05% 25 = 0.03% 26 = 0.01% 27 = 0.01% 28 = 0.00% 29 = 0.00% 30 = 0.00% 31 = 0.00%
32 = 0.00% 33 = 0.00% 34 = 0.00% 35 = 0.00% 36 = 0.00% 37 = 0.00%
average HCP is 10.005

0 = 0.36% 1 = 1.15% 2 = 2.50% 3 = 4.97% 4 = 8.81% 5 = 14.00% 6 = 20.55% 7 = 28.61%
8 = 37.49% 9 = 46.82% 10 = 56.17% 11 = 65.14% 12 = 73.16% 13 = 80.07% 14 = 85.74% 15 = 90.18%
16 = 93.52% 17 = 95.88% 18 = 97.50% 19 = 98.54% 20 = 99.18% 21 = 99.57% 22 = 99.78% 23 = 99.90%
24 = 99.95% 25 = 99.98% 26 = 99.99% 27 = 100.00% 28 = 100.00% 29 = 100.00% 30 = 100.00% 31 = 100.00%
32 = 100.00% 33 = 100.00% 34 = 100.00% 35 = 100.00% 36 = 100.00% 37 = 100.00%

**** Long suit point

0 = 627257 1 = 717574 2 = 342044 3 = 85083 4 = 11418 5 = 798 6 = 29 7 = 1
8 = 0 9 = 0
total count is 1784204

0 = 35.16% 1 = 40.22% 2 = 19.17% 3 = 4.77% 4 = 0.64% 5 = 0.04% 6 = 0.00% 7 = 0.00%
8 = 0.00% 9 = 0.00%
average long suit point is 0.957

0 = 35.16% 1 = 75.37% 2 = 94.54% 3 = 99.31% 4 = 99.95% 5 = 100.00% 6 = 100.00% 7 = 100.00%
8 = 100.00% 9 = 100.00%

**** total short suit point

0 = 426940 1 = 659187 2 = 483346 3 = 181313 4 = 29728 5 = 3467 6 = 223 7 = 0
8 = 0 9 = 0
total count is 1784204

0 = 23.93% 1 = 36.95% 2 = 27.09% 3 = 10.16% 4 = 1.67% 5 = 0.19% 6 = 0.01% 7 = 0.00%
8 = 0.00% 9 = 0.00%
average short suit point is 1.293

0 = 23.93% 1 = 60.87% 2 = 87.96% 3 = 98.13% 4 = 99.79% 5 = 99.99% 6 = 100.00% 7 = 100.00%
8 = 100.00% 9 = 100.00%

**** total HCL high card plus length point

0 = 2675 1 = 7984 2 = 15655 3 = 28612 4 = 47463 5 = 69750 6 = 92882 7 = 117812
8 = 139867 9 = 154718 10 = 162520 11 = 163695 12 = 156220 13 = 141264 14 = 122436 15 = 100706
16 = 79859 17 = 60586 18 = 43309 19 = 29706 20 = 19399 21 = 11992 22 = 7083 23 = 4022
24 = 2127 25 = 1028 26 = 488 27 = 210 28 = 83 29 = 37 30 = 12 31 = 4
32 = 0 33 = 0 34 = 0 35 = 0 36 = 0 37 = 0 38 = 0 39 = 0
40 = 0 41 = 0 42 = 0 43 = 0 44 = 0 45 = 0 46 = 0 47 = 0
total count is 1784204

0 = 0.15% 1 = 0.45% 2 = 0.88% 3 = 1.60% 4 = 2.66% 5 = 3.91% 6 = 5.21% 7 = 6.60%
8 = 7.84% 9 = 8.67% 10 = 9.11% 11 = 9.17% 12 = 8.76% 13 = 7.92% 14 = 6.86% 15 = 5.64%
16 = 4.48% 17 = 3.40% 18 = 2.43% 19 = 1.66% 20 = 1.09% 21 = 0.67% 22 = 0.40% 23 = 0.23%
24 = 0.12% 25 = 0.06% 26 = 0.03% 27 = 0.01% 28 = 0.00% 29 = 0.00% 30 = 0.00% 31 = 0.00%
32 = 0.00% 33 = 0.00% 34 = 0.00% 35 = 0.00% 36 = 0.00% 37 = 0.00% 38 = 0.00% 39 = 0.00%
40 = 0.00% 41 = 0.00% 42 = 0.00% 43 = 0.00% 44 = 0.00% 45 = 0.00% 46 = 0.00% 47 = 0.00%
average HCL (high card plus length point) is 10.961

0 = 0.15% 1 = 0.60% 2 = 1.47% 3 = 3.08% 4 = 5.74% 5 = 9.65% 6 = 14.85% 7 = 21.46%
8 = 29.30% 9 = 37.97% 10 = 47.08% 11 = 56.25% 12 = 65.01% 13 = 72.92% 14 = 79.79% 15 = 85.43%
16 = 89.91% 17 = 93.30% 18 = 95.73% 19 = 97.39% 20 = 98.48% 21 = 99.15% 22 = 99.55% 23 = 99.78%
24 = 99.90% 25 = 99.95% 26 = 99.98% 27 = 99.99% 28 = 100.00% 29 = 100.00% 30 = 100.00% 31 = 100.00%
32 = 100.00% 33 = 100.00% 34 = 100.00% 35 = 100.00% 36 = 100.00% 37 = 100.00% 38 = 100.00% 39 = 100.00%
40 = 100.00% 41 = 100.00% 42 = 100.00% 43 = 100.00% 44 = 100.00% 45 = 100.00% 46 = 100.00% 47 = 100.00%

**** total point include HCP long suit and short suit point

0 = 840 1 = 3712 2 = 8247 3 = 16721 4 = 29000 5 = 45761 6 = 65716 7 = 87703
8 = 109720 9 = 130166 10 = 145534 11 = 153736 12 = 157100 13 = 152395 14 = 140353 15 = 124377
16 = 106123 17 = 86443 18 = 68036 19 = 50678 20 = 36515 21 = 25146 22 = 16364 23 = 10325
24 = 6178 25 = 3631 26 = 1857 27 = 995 28 = 496 29 = 194 30 = 89 31 = 37
32 = 11 33 = 5 34 = 0 35 = 0 36 = 0 37 = 0 38 = 0 39 = 0
40 = 0 41 = 0 42 = 0 43 = 0 44 = 0 45 = 0 46 = 0 47 = 0
48 = 0 49 = 0 50 = 0 51 = 0 52 = 0 53 = 0 54 = 0 55 = 0
total count is 1784204

0 = 0.05% 1 = 0.21% 2 = 0.46% 3 = 0.94% 4 = 1.63% 5 = 2.56% 6 = 3.68% 7 = 4.92%
8 = 6.15% 9 = 7.30% 10 = 8.16% 11 = 8.62% 12 = 8.81% 13 = 8.54% 14 = 7.87% 15 = 6.97%
16 = 5.95% 17 = 4.84% 18 = 3.81% 19 = 2.84% 20 = 2.05% 21 = 1.41% 22 = 0.92% 23 = 0.58%
24 = 0.35% 25 = 0.20% 26 = 0.10% 27 = 0.06% 28 = 0.03% 29 = 0.01% 30 = 0.00% 31 = 0.00%
32 = 0.00% 33 = 0.00% 34 = 0.00% 35 = 0.00% 36 = 0.00% 37 = 0.00% 38 = 0.00% 39 = 0.00%
40 = 0.00% 41 = 0.00% 42 = 0.00% 43 = 0.00% 44 = 0.00% 45 = 0.00% 46 = 0.00% 47 = 0.00%
48 = 0.00% 49 = 0.00% 50 = 0.00% 51 = 0.00% 52 = 0.00% 53 = 0.00% 54 = 0.00% 55 = 0.00%
average total point is 12.255

0 = 0.05% 1 = 0.26% 2 = 0.72% 3 = 1.65% 4 = 3.28% 5 = 5.84% 6 = 9.53% 7 = 14.44%
8 = 20.59% 9 = 27.89% 10 = 36.05% 11 = 44.66% 12 = 53.47% 13 = 62.01% 14 = 69.87% 15 = 76.85%
16 = 82.79% 17 = 87.64% 18 = 91.45% 19 = 94.29% 20 = 96.34% 21 = 97.75% 22 = 98.67% 23 = 99.24%
24 = 99.59% 25 = 99.79% 26 = 99.90% 27 = 99.95% 28 = 99.98% 29 = 99.99% 30 = 100.00% 31 = 100.00%
32 = 100.00% 33 = 100.00% 34 = 100.00% 35 = 100.00% 36 = 100.00% 37 = 100.00% 38 = 100.00% 39 = 100.00%
40 = 100.00% 41 = 100.00% 42 = 100.00% 43 = 100.00% 44 = 100.00% 45 = 100.00% 46 = 100.00% 47 = 100.00%
48 = 100.00% 49 = 100.00% 50 = 100.00% 51 = 100.00% 52 = 100.00% 53 = 100.00% 54 = 100.00% 55 = 100.00%

**** total distribution

4432 = 384971 5332 = 276010 5431 = 231077 5422 = 188334 4333 = 188596 6322 = 100313
6421 = 84082 6331 = 61349 5521 = 56655 4441 = 53690 7321 = 33566 6430 = 23594
5440 = 22153 5530 = 16051 6511 = 12536 6520 = 11676 7222 = 9220 7411 = 6818
7420 = 6548 7330 = 4719 8221 = 3312 8311 = 2116 8320 = 1922 7510 = 1975
6610 = 1285 8410 = 808 9211 = 280 9310 = 165 9220 = 150 7600 = 113
8500 = 75 10210 = 20 9400 = 15 10111 = 6 10300 = 3 11110 = 0
11200 = 1 12100 = 0 13000 = 0
total count is 1784204

4432 = 21.58% 5332 = 15.47% 5431 = 12.95% 5422 = 10.56% 4333 = 10.57% 6322 = 5.62%
6421 = 4.71% 6331 = 3.44% 5521 = 3.18% 4441 = 3.01% 7321 = 1.88% 6430 = 1.32%
5440 = 1.24% 5530 = 0.90% 6511 = 0.70% 6520 = 0.65% 7222 = 0.52% 7411 = 0.38%
7420 = 0.37% 7330 = 0.26% 8221 = 0.19% 8311 = 0.12% 8320 = 0.11% 7510 = 0.11%
6610 = 0.07% 8410 = 0.05% 9211 = 0.02% 9310 = 0.01% 9220 = 0.01% 7600 = 0.01%
8500 = 0.00% 10210 = 0.00% 9400 = 0.00% 10111 = 0.00% 10300 = 0.00% 11110 = 0.00%
11200 = 0.00% 12100 = 0.00% 13000 = 0.00%