A deterministic Minesweeper solver
Click here for online demo & technical details.
The algorithm is described in the paper on AAAI Workshop 2017.
sudo pacman -S cmake ninja boost # For Arch Linux
cmake -S MineSweeperSolver -B cmake-bulid-release -DCMAKE_BUILD_TYPE=Release -DCMAKE_CXX_FLAGS='-march=native' -G Ninja
cmake --build cmake-build-release
# To run:
./cmake-build-release/MineSweeperSolver <config> <number>- SFAR / Safe first action rule: The first-clicked block is guaranteed no mine
- SNR / Safe neighbourhood rule: The first-clicked block AND its surrounding blocks are guaranteed no mine
| Board Size | Rule | Strategy | Rate | Cmd |
|---|---|---|---|---|
| 8x8 10 mines |
SFAR | PSEQ | 81.6351±0.0034% | Details./MineSweeperSolver FL@[1,1]-PSEQ-8-8-T10-SFAR 500000000Approx. takes 98 minutes to run on an 8-core machine. |
| PSEQ-D256 | 81.7711±0.0076% | Details./MineSweeperSolver FL@[1,1]-PSEQ-D256-8-8-T10-SFAR 100000000Approx. takes 250 hours to run on an 8-core machine. |
||
| SNR | PSEQ | 90.1456±0.0026% | Details./MineSweeperSolver FL@[3,3]-PSEQ-8-8-T10-SNR 500000000Approx. takes 48 minutes to run on an 8-core machine. |
|
| PSEQ-D256 | 90.3448±0.0058% | Details./MineSweeperSolver FL@[3,3]-PSEQ-D256-8-8-T10-SNR 100000000Approx. takes 231 hours to run on an 8-core machine. |
||
| 9x9 10 mines |
SFAR | PSEQ | 91.6775±0.0024% | Details./MineSweeperSolver FL@[1,1]-PSEQ-9-9-T10-SFAR 500000000Approx. takes 74 minutes to run on an 8-core machine. |
| PSEQ-D256 | 91.6949±0.0054% | Details./MineSweeperSolver FL@[1,1]-PSEQ-D256-9-9-T10-SFAR 100000000Approx. takes 24 hours to run on an 8-core machine. |
||
| SNR | PSEQ | 97.1453±0.0015% | Details./MineSweeperSolver FL@[3,3]-PSEQ-9-9-T10-SNR 500000000Approx. takes 42 minutes to run on an 8-core machine. |
|
| PSEQ-D256 | 97.1669±0.0033% | Details./MineSweeperSolver FL@[3,3]-PSEQ-D256-9-9-T10-SNR 100000000Approx. takes 19 hours to run on an 8-core machine. |
||
| 16x16 40 mines |
SFAR | PSEQ | 78.1228±0.0057% | Details./MineSweeperSolver FL@[1,1]-PSEQ-16-16-T40-SFAR 200000000Approx. takes 109 minutes to run on an 8-core machine. |
| PSEQ-D256 | 78.2295±0.0081% | Details./MineSweeperSolver FL@[1,1]-PSEQ-D256-16-16-T40-SFAR 100000000Approx. takes 116 hours to run on an 8-core machine. |
||
| SNR | PSEQ | 88.9267±0.0043% | Details./MineSweeperSolver FL@[3,3]-PSEQ-16-16-T40-SNR 200000000Approx. takes 80 minutes to run on an 8-core machine. |
|
| PSEQ-D256 | 89.0757±0.0061% | Details./MineSweeperSolver FL@[3,3]-PSEQ-D256-16-16-T40-SNR 100000000Approx. takes 122 hours to run on an 8-core machine. |
||
| 30x16 99 mines |
SFAR | PSEQ | 39.6158±0.0068% | Details./MineSweeperSolver FL@[1,1]-PSEQ-30-16-T99-SFAR 200000000Approx. takes 15 hours to run on an 8-core machine. |
| PSEQ-D256 | 40.0468±0.0096% | Details./MineSweeperSolver FL@[1,1]-PSEQ-D256-30-16-T99-SFAR 100000000Approx. takes 537 hours to run on an 8-core machine. |
||
| SNR | PSEQ | 52.7838±0.0069% | Details./MineSweeperSolver FL@[4,4]-PSEQ-30-16-T99-SNR 200000000Approx. takes 15 hours to run on an 8-core machine. |
|
| PSEQ-D256 | 53.4502±0.0098% | Details./MineSweeperSolver FL@[4,4]-PSEQ-D256-30-16-T99-SNR 100000000Approx. takes 812 hours to run on an 8-core machine. |
SFAR
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | |
| 1 | 81.6351 ±0.0034% |
78.6597 ±0.0036% |
78.8076 ±0.0036% |
78.7913 ±0.0036% |
78.7922 ±0.0036% |
78.8037 ±0.0036% |
78.6608 ±0.0036% |
81.6389 ±0.0034% |
| 2 | 78.6609 ±0.0036% |
78.6958 ±0.0036% |
78.1597 ±0.0036% |
78.1267 ±0.0036% |
78.1218 ±0.0036% |
78.1532 ±0.0036% |
78.6979 ±0.0036% |
78.6605 ±0.0036% |
| 3 | 78.8074 ±0.0036% |
78.1562 ±0.0036% |
74.4041 ±0.0038% |
74.0769 ±0.0038% |
74.0774 ±0.0038% |
74.4021 ±0.0038% |
78.1555 ±0.0036% |
78.8041 ±0.0036% |
| 4 | 78.7912 ±0.0036% |
78.1219 ±0.0036% |
74.0730 ±0.0038% |
73.7547 ±0.0039% |
73.7587 ±0.0039% |
74.0753 ±0.0038% |
78.1226 ±0.0036% |
78.7901 ±0.0036% |
| 5 | 78.7921 ±0.0036% |
78.1195 ±0.0036% |
74.0796 ±0.0038% |
73.7561 ±0.0039% |
73.7588 ±0.0039% |
74.0733 ±0.0038% |
78.1234 ±0.0036% |
78.7892 ±0.0036% |
| 6 | 78.8086 ±0.0036% |
78.1562 ±0.0036% |
74.4014 ±0.0038% |
74.0748 ±0.0038% |
74.0775 ±0.0038% |
74.4068 ±0.0038% |
78.1565 ±0.0036% |
78.8043 ±0.0036% |
| 7 | 78.6624 ±0.0036% |
78.6971 ±0.0036% |
78.1601 ±0.0036% |
78.1259 ±0.0036% |
78.1251 ±0.0036% |
78.1547 ±0.0036% |
78.7023 ±0.0036% |
78.6627 ±0.0036% |
| 8 | 81.6413 ±0.0034% |
78.6581 ±0.0036% |
78.8069 ±0.0036% |
78.7876 ±0.0036% |
78.7945 ±0.0036% |
78.8075 ±0.0036% |
78.6635 ±0.0036% |
81.6398 ±0.0034% |
SNR
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | |
| 1 | 88.2804 ±0.0028% |
89.2807 ±0.0027% |
89.9004 ±0.0026% |
89.8625 ±0.0026% |
89.8673 ±0.0026% |
89.9024 ±0.0026% |
89.2897 ±0.0027% |
88.2820 ±0.0028% |
| 2 | 89.2805 ±0.0027% |
89.0536 ±0.0027% |
89.8287 ±0.0026% |
89.7500 ±0.0027% |
89.7544 ±0.0027% |
89.8338 ±0.0026% |
89.0611 ±0.0027% |
89.2876 ±0.0027% |
| 3 | 89.9019 ±0.0026% |
89.8280 ±0.0026% |
90.1456 ±0.0026% |
90.0168 ±0.0026% |
90.0189 ±0.0026% |
90.1495 ±0.0026% |
89.8260 +0.0026-0.0027% |
89.8990 ±0.0026% |
| 4 | 89.8633 ±0.0026% |
89.7546 ±0.0027% |
90.0137 ±0.0026% |
89.8105 ±0.0027% |
89.8144 ±0.0027% |
90.0183 ±0.0026% |
89.7526 ±0.0027% |
89.8633 ±0.0026% |
| 5 | 89.8685 ±0.0026% |
89.7539 ±0.0027% |
90.0168 ±0.0026% |
89.8129 ±0.0027% |
89.8128 ±0.0027% |
90.0186 ±0.0026% |
89.7548 ±0.0027% |
89.8666 ±0.0026% |
| 6 | 89.8998 ±0.0026% |
89.8306 ±0.0026% |
90.1488 ±0.0026% |
90.0168 ±0.0026% |
90.0225 ±0.0026% |
90.1479 ±0.0026% |
89.8333 ±0.0026% |
89.9019 ±0.0026% |
| 7 | 89.2890 ±0.0027% |
89.0614 ±0.0027% |
89.8283 ±0.0026% |
89.7537 ±0.0027% |
89.7540 ±0.0027% |
89.8313 ±0.0026% |
89.0660 ±0.0027% |
89.2942 ±0.0027% |
| 8 | 88.2833 ±0.0028% |
89.2826 ±0.0027% |
89.9014 ±0.0026% |
89.8620 ±0.0026% |
89.8675 ±0.0026% |
89.9022 ±0.0026% |
89.2917 ±0.0027% |
88.2877 ±0.0028% |
SFAR
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | |
| 1 | 91.6775 ±0.0024% |
89.4787 ±0.0027% |
89.5941 ±0.0027% |
89.5376 ±0.0027% |
89.4769 ±0.0027% |
89.5401 ±0.0027% |
89.5984 ±0.0027% |
89.4775 ±0.0027% |
91.6795 ±0.0024% |
| 2 | 89.4805 ±0.0027% |
88.1115 ±0.0028% |
87.8834 ±0.0029% |
87.7447 ±0.0029% |
87.6834 ±0.0029% |
87.7445 ±0.0029% |
87.8791 ±0.0029% |
88.1134 ±0.0028% |
89.4793 ±0.0027% |
| 3 | 89.5957 ±0.0027% |
87.8805 ±0.0029% |
86.6276 ±0.0030% |
86.6270 ±0.0030% |
86.5647 ±0.0030% |
86.6269 ±0.0030% |
86.6329 ±0.0030% |
87.8806 ±0.0029% |
89.5974 ±0.0027% |
| 4 | 89.5376 ±0.0027% |
87.7405 ±0.0029% |
86.6242 ±0.0030% |
86.5339 ±0.0030% |
86.4815 ±0.0030% |
86.5337 ±0.0030% |
86.6246 ±0.0030% |
87.7427 ±0.0029% |
89.5390 ±0.0027% |
| 5 | 89.4806 ±0.0027% |
87.6825 ±0.0029% |
86.5676 ±0.0030% |
86.4841 ±0.0030% |
86.4306 ±0.0030% |
86.4827 ±0.0030% |
86.5660 ±0.0030% |
87.6801 ±0.0029% |
89.4808 ±0.0027% |
| 6 | 89.5391 ±0.0027% |
87.7456 ±0.0029% |
86.6247 ±0.0030% |
86.5347 ±0.0030% |
86.4839 ±0.0030% |
86.5345 ±0.0030% |
86.6249 ±0.0030% |
87.7437 ±0.0029% |
89.5372 ±0.0027% |
| 7 | 89.5963 ±0.0027% |
87.8817 ±0.0029% |
86.6319 ±0.0030% |
86.6247 ±0.0030% |
86.5680 ±0.0030% |
86.6233 ±0.0030% |
86.6311 ±0.0030% |
87.8819 ±0.0029% |
89.5967 ±0.0027% |
| 8 | 89.4808 ±0.0027% |
88.1106 ±0.0028% |
87.8792 ±0.0029% |
87.7423 ±0.0029% |
87.6810 ±0.0029% |
87.7468 ±0.0029% |
87.8839 ±0.0029% |
88.1159 ±0.0028% |
89.4819 ±0.0027% |
| 9 | 91.6762 ±0.0024% |
89.4810 ±0.0027% |
89.5954 ±0.0027% |
89.5373 ±0.0027% |
89.4776 ±0.0027% |
89.5373 ±0.0027% |
89.5990 ±0.0027% |
89.4812 ±0.0027% |
91.6791 ±0.0024% |
SNR
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | |
| 1 | 96.2181 ±0.0017% |
96.7581 ±0.0016% |
97.0212 ±0.0015% |
96.9511 ±0.0015% |
96.7144 ±0.0016% |
96.9519 ±0.0015% |
97.0244 ±0.0015% |
96.7594 ±0.0016% |
96.2182 ±0.0017% |
| 2 | 96.7571 ±0.0016% |
96.7878 ±0.0015% |
97.0644 ±0.0015% |
96.9618 ±0.0015% |
96.5502 ±0.0016% |
96.9620 ±0.0015% |
97.0671 ±0.0015% |
96.7884 ±0.0015% |
96.7584 ±0.0016% |
| 3 | 97.0227 ±0.0015% |
97.0653 ±0.0015% |
97.1453 ±0.0015% |
97.0104 ±0.0015% |
96.5788 ±0.0016% |
97.0105 ±0.0015% |
97.1489 ±0.0015% |
97.0629 ±0.0015% |
97.0229 ±0.0015% |
| 4 | 96.9532 ±0.0015% |
96.9619 ±0.0015% |
97.0102 ±0.0015% |
96.8457 ±0.0015% |
96.5254 ±0.0016% |
96.8482 ±0.0015% |
97.0132 ±0.0015% |
96.9636 ±0.0015% |
96.9515 ±0.0015% |
| 5 | 96.7147 ±0.0016% |
96.5497 ±0.0016% |
96.5776 ±0.0016% |
96.5243 ±0.0016% |
96.2491 ±0.0017% |
96.5251 ±0.0016% |
96.5810 ±0.0016% |
96.5517 ±0.0016% |
96.7145 ±0.0016% |
| 6 | 96.9520 ±0.0015% |
96.9624 ±0.0015% |
97.0101 ±0.0015% |
96.8472 ±0.0015% |
96.5238 ±0.0016% |
96.8485 ±0.0015% |
97.0132 ±0.0015% |
96.9631 ±0.0015% |
96.9532 ±0.0015% |
| 7 | 97.0240 ±0.0015% |
97.0671 ±0.0015% |
97.1472 ±0.0015% |
97.0124 ±0.0015% |
96.5803 ±0.0016% |
97.0117 ±0.0015% |
97.1507 ±0.0015% |
97.0684 ±0.0015% |
97.0258 ±0.0015% |
| 8 | 96.7571 ±0.0016% |
96.7888 ±0.0015% |
97.0640 ±0.0015% |
96.9609 ±0.0015% |
96.5509 ±0.0016% |
96.9620 ±0.0015% |
97.0677 ±0.0015% |
96.7920 ±0.0015% |
96.7614 ±0.0016% |
| 9 | 96.2175 ±0.0017% |
96.7586 ±0.0016% |
97.0223 ±0.0015% |
96.9513 ±0.0015% |
96.7165 ±0.0016% |
96.9513 ±0.0015% |
97.0260 ±0.0015% |
96.7614 ±0.0016% |
96.2222 ±0.0017% |
SFAR
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | |
| 1 | 78.1228 ±0.0057% |
75.3061 ±0.0060% |
75.6851 ±0.0059% |
75.5737 ±0.0060% |
75.4819 ±0.0060% |
75.4991 ±0.0060% |
75.4816 ±0.0060% |
75.4806 ±0.0060% |
| 2 | 75.3103 ±0.0060% |
75.1871 ±0.0060% |
75.0593 ±0.0060% |
74.8811 ±0.0060% |
74.8240 ±0.0060% |
74.9170 ±0.0060% |
74.9153 ±0.0060% |
74.9287 ±0.0060% |
| 3 | 75.6815 ±0.0059% |
75.0549 ±0.0060% |
72.1353 ±0.0062% |
71.5990 +0.0062-0.0063% |
71.5643 ±0.0063% |
71.5860 ±0.0063% |
71.6182 ±0.0062% |
71.6227 ±0.0062% |
| 4 | 75.5759 ±0.0060% |
74.8762 ±0.0060% |
71.6000 +0.0062-0.0063% |
70.9050 ±0.0063% |
70.8347 ±0.0063% |
70.8575 ±0.0063% |
70.8579 ±0.0063% |
70.8599 ±0.0063% |
| 5 | 75.4769 ±0.0060% |
74.8194 ±0.0060% |
71.5641 ±0.0063% |
70.8302 ±0.0063% |
70.7772 ±0.0063% |
70.7967 ±0.0063% |
70.7991 ±0.0063% |
70.8029 ±0.0063% |
| 6 | 75.4979 ±0.0060% |
74.9062 ±0.0060% |
71.5819 ±0.0063% |
70.8431 ±0.0063% |
70.7928 ±0.0063% |
70.7872 ±0.0063% |
70.7888 ±0.0063% |
70.7937 ±0.0063% |
| 7 | 75.4842 ±0.0060% |
74.9167 ±0.0060% |
71.6123 ±0.0062% |
70.8511 ±0.0063% |
70.7922 ±0.0063% |
70.7896 ±0.0063% |
70.7867 ±0.0063% |
70.7824 ±0.0063% |
| 8 | 75.4784 ±0.0060% |
74.9205 ±0.0060% |
71.6201 ±0.0062% |
70.8644 ±0.0063% |
70.7947 ±0.0063% |
70.7870 ±0.0063% |
70.7808 ±0.0063% |
70.7810 ±0.0063% |
SNR
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | |
| 1 | 85.4942 ±0.0049% |
87.0977 ±0.0046% |
87.7933 ±0.0045% |
87.8463 ±0.0045% |
87.4697 ±0.0046% |
87.5105 ±0.0046% |
87.5398 ±0.0046% |
87.4916 ±0.0046% |
| 2 | 87.0982 ±0.0046% |
87.8506 ±0.0045% |
88.5926 ±0.0044% |
88.5942 ±0.0044% |
87.9034 ±0.0045% |
87.9166 ±0.0045% |
87.9338 ±0.0045% |
87.8641 ±0.0045% |
| 3 | 87.7811 ±0.0045% |
88.5908 ±0.0044% |
88.9267 ±0.0043% |
88.8635 ±0.0044% |
88.1142 ±0.0045% |
88.1082 ±0.0045% |
88.1172 ±0.0045% |
88.0401 ±0.0045% |
| 4 | 87.8495 ±0.0045% |
88.5989 ±0.0044% |
88.8583 ±0.0044% |
88.7111 ±0.0044% |
88.0816 ±0.0045% |
88.0521 ±0.0045% |
88.0442 ±0.0045% |
87.9901 ±0.0045% |
| 5 | 87.4703 ±0.0046% |
87.9047 ±0.0045% |
88.1090 ±0.0045% |
88.0770 ±0.0045% |
87.5345 ±0.0046% |
87.5350 ±0.0046% |
87.5304 ±0.0046% |
87.4774 ±0.0046% |
| 6 | 87.5119 ±0.0046% |
87.9162 ±0.0045% |
88.0952 ±0.0045% |
88.0451 ±0.0045% |
87.5308 ±0.0046% |
87.5167 ±0.0046% |
87.5179 ±0.0046% |
87.4774 ±0.0046% |
| 7 | 87.5402 ±0.0046% |
87.9331 ±0.0045% |
88.1091 ±0.0045% |
88.0402 ±0.0045% |
87.5319 ±0.0046% |
87.5226 ±0.0046% |
87.5215 ±0.0046% |
87.4768 ±0.0046% |
| 8 | 87.4926 ±0.0046% |
87.8598 ±0.0045% |
88.0294 ±0.0045% |
87.9902 ±0.0045% |
87.4839 ±0.0046% |
87.4753 ±0.0046% |
87.4732 ±0.0046% |
87.4350 ±0.0046% |
SFAR
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | |
| 1 | 39.6158 ±0.0068% |
38.7505 ±0.0095% |
37.5650 ±0.0095% |
37.2672 ±0.0095% |
37.2545 ±0.0095% |
37.3288 ±0.0095% |
37.3516 ±0.0095% |
37.3704 ±0.0095% |
37.3988 ±0.0095% |
37.4118 ±0.0095% |
37.4255 ±0.0095% |
37.4378 ±0.0095% |
37.4400 ±0.0095% |
37.4399 ±0.0095% |
37.4386 ±0.0095% |
| 2 | 38.7453 ±0.0095% |
38.0543 ±0.0095% |
38.1629 ±0.0095% |
38.0384 ±0.0095% |
37.9725 ±0.0095% |
38.0739 ±0.0095% |
38.0853 ±0.0095% |
38.0979 ±0.0095% |
38.1258 ±0.0095% |
38.1355 ±0.0095% |
38.1410 ±0.0095% |
38.1529 ±0.0095% |
38.1552 ±0.0095% |
38.1576 ±0.0095% |
38.1615 ±0.0095% |
| 3 | 37.5578 ±0.0095% |
38.1637 ±0.0095% |
36.3193 ±0.0094% |
36.1271 ±0.0094% |
36.0816 ±0.0094% |
36.1255 ±0.0094% |
36.1716 ±0.0094% |
36.1935 ±0.0094% |
36.2079 ±0.0094% |
36.2287 ±0.0094% |
36.2356 ±0.0094% |
36.2419 ±0.0094% |
36.2623 ±0.0094% |
36.2535 ±0.0094% |
36.2535 ±0.0094% |
| 4 | 37.2754 ±0.0095% |
38.0326 ±0.0095% |
36.1159 ±0.0094% |
35.8690 ±0.0094% |
35.8111 ±0.0094% |
35.8670 ±0.0094% |
35.8720 ±0.0094% |
35.8873 ±0.0094% |
35.9028 ±0.0094% |
35.9219 ±0.0094% |
35.9313 ±0.0094% |
35.9314 ±0.0094% |
35.9458 ±0.0094% |
35.9477 ±0.0094% |
35.9441 ±0.0094% |
| 5 | 37.2529 ±0.0095% |
37.9653 ±0.0095% |
36.0816 ±0.0094% |
35.8092 ±0.0094% |
35.7653 ±0.0094% |
35.8221 ±0.0094% |
35.8212 ±0.0094% |
35.8454 ±0.0094% |
35.8758 ±0.0094% |
35.8865 ±0.0094% |
35.8775 ±0.0094% |
35.9065 ±0.0094% |
35.9032 ±0.0094% |
35.9063 ±0.0094% |
35.9042 ±0.0094% |
| 6 | 37.3162 ±0.0095% |
38.0552 ±0.0095% |
36.1073 ±0.0094% |
35.8418 ±0.0094% |
35.8023 ±0.0094% |
35.8428 ±0.0094% |
35.8363 ±0.0094% |
35.8614 ±0.0094% |
35.8693 ±0.0094% |
35.8892 ±0.0094% |
35.8886 ±0.0094% |
35.9039 ±0.0094% |
35.9104 ±0.0094% |
35.9090 ±0.0094% |
35.9097 ±0.0094% |
| 7 | 37.3312 ±0.0095% |
38.0618 ±0.0095% |
36.1449 ±0.0094% |
35.8455 ±0.0094% |
35.8178 ±0.0094% |
35.8266 ±0.0094% |
35.8368 ±0.0094% |
35.8495 ±0.0094% |
35.8663 ±0.0094% |
35.8748 ±0.0094% |
35.8865 ±0.0094% |
35.8766 ±0.0094% |
35.9019 ±0.0094% |
35.8906 ±0.0094% |
35.9010 ±0.0094% |
| 8 | 37.3394 ±0.0095% |
38.0617 ±0.0095% |
36.1446 ±0.0094% |
35.8573 ±0.0094% |
35.8297 ±0.0094% |
35.8445 ±0.0094% |
35.8348 ±0.0094% |
35.8546 ±0.0094% |
35.8680 ±0.0094% |
35.8752 ±0.0094% |
35.8812 ±0.0094% |
35.8961 ±0.0094% |
35.9063 ±0.0094% |
35.9014 ±0.0094% |
35.8971 ±0.0094% |
SNR
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | |
| 1 | 46.7470 ±0.0098% |
48.9491 ±0.0098% |
50.0923 ±0.0098% |
50.3836 ±0.0098% |
50.0144 ±0.0098% |
50.1361 ±0.0098% |
50.2167 ±0.0098% |
50.1836 ±0.0098% |
50.2298 ±0.0098% |
50.2542 ±0.0098% |
50.2571 ±0.0098% |
50.2624 ±0.0098% |
50.2713 ±0.0098% |
50.2763 ±0.0098% |
50.2801 ±0.0098% |
| 2 | 48.9188 ±0.0098% |
50.1038 ±0.0098% |
51.4913 ±0.0098% |
51.8195 ±0.0098% |
51.0733 ±0.0098% |
51.2316 ±0.0098% |
51.2887 ±0.0098% |
51.2470 ±0.0098% |
51.2553 ±0.0098% |
51.2681 ±0.0098% |
51.2644 ±0.0098% |
51.2779 ±0.0098% |
51.2807 ±0.0098% |
51.2843 ±0.0098% |
51.2825 ±0.0098% |
| 3 | 50.0949 ±0.0098% |
51.4983 ±0.0098% |
52.4287 ±0.0098% |
52.6958 ±0.0098% |
51.8480 ±0.0098% |
51.9813 ±0.0098% |
52.0251 ±0.0098% |
51.9536 ±0.0098% |
51.9557 ±0.0098% |
51.9754 ±0.0098% |
51.9545 ±0.0098% |
51.9672 ±0.0098% |
51.9689 ±0.0098% |
51.9735 ±0.0098% |
51.9696 ±0.0098% |
| 4 | 50.3687 ±0.0098% |
51.7994 ±0.0098% |
52.6707 ±0.0098% |
52.7838 ±0.0069% |
52.0216 ±0.0098% |
52.1141 ±0.0098% |
52.1527 ±0.0098% |
52.0896 ±0.0098% |
52.0913 ±0.0098% |
52.0996 ±0.0098% |
52.0877 ±0.0098% |
52.0867 ±0.0098% |
52.0862 ±0.0098% |
52.1024 ±0.0098% |
52.0926 ±0.0098% |
| 5 | 49.9929 ±0.0098% |
51.0695 ±0.0098% |
51.8357 ±0.0098% |
52.0133 ±0.0098% |
51.2472 ±0.0098% |
51.3606 ±0.0098% |
51.4007 ±0.0098% |
51.3256 ±0.0098% |
51.3406 ±0.0098% |
51.3497 ±0.0098% |
51.3431 ±0.0098% |
51.3401 ±0.0098% |
51.3464 ±0.0098% |
51.3548 ±0.0098% |
51.3509 ±0.0098% |
| 6 | 50.1103 ±0.0098% |
51.1860 ±0.0098% |
51.9445 ±0.0098% |
52.0990 ±0.0098% |
51.3517 ±0.0098% |
51.4280 ±0.0098% |
51.4679 ±0.0098% |
51.4124 ±0.0098% |
51.4098 ±0.0098% |
51.4203 ±0.0098% |
51.4035 ±0.0098% |
51.4114 ±0.0069% |
51.4246 ±0.0098% |
51.4243 ±0.0098% |
51.4109 ±0.0098% |
| 7 | 50.1871 ±0.0057% |
51.2811 ±0.0057% |
52.0332 ±0.0057% |
52.1450 ±0.0057% |
51.3995 ±0.0057% |
51.4722 ±0.0069% |
51.5044 ±0.0069% |
51.4442 ±0.0098% |
51.4516 ±0.0098% |
51.4568 ±0.0069% |
51.4482 ±0.0098% |
51.4519 ±0.0069% |
51.4563 ±0.0098% |
51.4519 ±0.0098% |
51.4555 ±0.0098% |
| 8 | 50.1325 ±0.0098% |
51.1912 ±0.0098% |
51.9285 ±0.0098% |
52.0685 ±0.0098% |
51.3169 ±0.0098% |
51.3864 ±0.0098% |
51.4315 ±0.0098% |
51.3558 ±0.0098% |
51.3773 ±0.0098% |
51.3716 ±0.0069% |
51.3704 ±0.0098% |
51.3733 ±0.0069% |
51.3737 ±0.0098% |
51.3844 ±0.0069% |
51.3815 ±0.0098% |