This is based 13x13 hex games played on Little Golem. The four numbers in each cell are
number of games compensated win percentage actual win percentage swap percentageSee below for more details. The column labeled "-nnn" is for games in which both players have a rating of at least -nnn. (I use custom ELO-based ratings in which the strongest player has rating zero and all other players have negative ratings.)
-200 | -250 | -300 | -350 | -400 | -450 | -500 | -550 | -600 | -650 | -700 | -750 | -800 | -850 | |
A1/M13 | 3 0.13 0 0 | 3 0.13 0 0 | 4 0.132 0 0 | 4 0.132 0 0 | 5 0.069 0 0.2 | 7 0.203 0.143 0.143 | ||||||||
A2/M12 | 17 0.425 0.294 0 | 19 0.429 0.316 0 | 24 0.468 0.375 0 | 34 0.525 0.471 0.088 | 75 0.503 0.547 0.107 | 101 0.475 0.515 0.079 | 200 0.472 0.475 0.19 | 374 0.488 0.463 0.235 | 419 0.479 0.446 0.229 | 458 0.468 0.43 0.24 | 597 0.47 0.417 0.235 | 656 0.47 0.415 0.252 | ||
A3/M11 | 4 0.44 0.25 0 | 17 0.542 0.471 0 | 31 0.55 0.484 0.065 | 175 0.497 0.429 0.074 | 265 0.503 0.457 0.102 | 510 0.463 0.439 0.086 | 949 0.472 0.457 0.12 | 1222 0.48 0.474 0.138 | 2512 0.487 0.482 0.161 | 3362 0.486 0.476 0.188 | 3599 0.482 0.474 0.187 | 4374 0.485 0.471 0.204 | 4985 0.488 0.474 0.209 | 6215 0.49 0.457 0.242 |
A4/M10 | 2 0.5 0.5 1 | 6 0.48 0.5 0.833 | 7 0.379 0.429 0.857 | 29 0.525 0.621 0.793 | 56 0.478 0.536 0.75 | 79 0.495 0.532 0.722 | 125 0.541 0.576 0.688 | 156 0.532 0.571 0.692 | 352 0.563 0.588 0.565 | 436 0.56 0.589 0.555 | 544 0.565 0.607 0.572 | 717 0.537 0.579 0.593 | 807 0.538 0.574 0.586 | 1023 0.538 0.577 0.577 |
A5/M9 | 6 0.21 0.333 1 | 14 0.41 0.5 0.857 | 24 0.518 0.542 0.792 | 36 0.546 0.583 0.778 | 48 0.566 0.604 0.75 | 101 0.549 0.604 0.683 | 179 0.564 0.659 0.659 | 207 0.576 0.662 0.647 | 261 0.574 0.64 0.667 | 285 0.579 0.635 0.674 | 388 0.581 0.644 0.644 | |||
A6/M8 | 16 0.673 0.688 0.5 | 29 0.632 0.69 0.621 | 66 0.522 0.576 0.53 | 75 0.52 0.573 0.52 | 97 0.505 0.557 0.598 | 117 0.529 0.581 0.615 | 132 0.535 0.576 0.621 | 283 0.534 0.576 0.671 | 349 0.534 0.579 0.625 | 388 0.527 0.557 0.647 | 463 0.536 0.555 0.652 | 499 0.533 0.545 0.659 | 556 0.534 0.54 0.651 | |
A7/M7 | 6 0.482 0.5 0.5 | 8 0.468 0.5 0.375 | 24 0.606 0.708 0.625 | 34 0.599 0.676 0.618 | 57 0.577 0.614 0.684 | 74 0.551 0.581 0.649 | 88 0.554 0.58 0.636 | 169 0.555 0.568 0.615 | 211 0.549 0.573 0.597 | 228 0.546 0.57 0.592 | 294 0.534 0.531 0.612 | 313 0.536 0.53 0.617 | 345 0.549 0.554 0.591 | |
A8/M6 | 4 0.834 1 1 | 10 0.541 0.6 0.8 | 13 0.576 0.615 0.846 | 32 0.51 0.5 0.781 | 54 0.525 0.556 0.63 | 81 0.518 0.531 0.667 | 97 0.532 0.546 0.67 | 125 0.517 0.512 0.656 | 183 0.516 0.508 0.65 | 215 0.508 0.507 0.609 | 251 0.505 0.506 0.602 | 376 0.514 0.511 0.566 | 403 0.503 0.504 0.566 | 477 0.514 0.516 0.572 |
A9/M5 | 6 0.841 0.833 0.5 | 10 0.709 0.7 0.7 | 19 0.649 0.632 0.684 | 36 0.62 0.639 0.611 | 70 0.611 0.614 0.629 | 97 0.592 0.608 0.639 | 120 0.605 0.617 0.625 | 176 0.572 0.608 0.648 | 232 0.546 0.603 0.625 | 272 0.566 0.629 0.618 | 392 0.531 0.589 0.61 | 427 0.537 0.595 0.602 | 484 0.531 0.589 0.599 | |
A10/M4 | 5 0.396 0.4 0.4 | 5 0.396 0.4 0.4 | 21 0.519 0.476 0.571 | 58 0.535 0.586 0.621 | 88 0.5 0.557 0.705 | 113 0.485 0.54 0.655 | 146 0.475 0.541 0.63 | 230 0.489 0.543 0.604 | 276 0.482 0.54 0.562 | 387 0.497 0.548 0.584 | 491 0.513 0.554 0.58 | 610 0.505 0.541 0.603 | 709 0.508 0.544 0.606 | |
A11/M3 | 8 0.505 0.5 0.375 | 9 0.553 0.556 0.444 | 14 0.535 0.5 0.429 | 25 0.426 0.36 0.32 | 37 0.448 0.378 0.378 | 76 0.4 0.342 0.342 | 101 0.434 0.386 0.366 | 164 0.446 0.433 0.384 | 201 0.464 0.463 0.418 | 237 0.462 0.46 0.409 | 291 0.465 0.454 0.433 | 320 0.465 0.453 0.431 | 397 0.477 0.474 0.416 | |
A12/M2 | 9 0.946 1 0.556 | 20 0.874 0.9 0.65 | 43 0.743 0.767 0.628 | 73 0.705 0.699 0.562 | 79 0.699 0.684 0.57 | 134 0.643 0.642 0.5 | 162 0.609 0.611 0.469 | 172 0.6 0.605 0.471 | 189 0.604 0.614 0.466 | 201 0.588 0.592 0.483 | 221 0.587 0.584 0.475 | |||
A13/M1 | 2 0.409 0.5 0.5 | 2 0.409 0.5 0.5 | 4 0.231 0.25 0.5 | 6 0.265 0.333 0.667 | 8 0.31 0.375 0.625 | 26 0.485 0.577 0.615 | 39 0.547 0.59 0.564 | 93 0.577 0.624 0.581 | 146 0.574 0.63 0.521 | 176 0.569 0.619 0.545 | 231 0.564 0.619 0.563 | 262 0.565 0.615 0.546 | 298 0.568 0.611 0.55 | |
B1/L13 | 8 0.255 0.125 0.125 | 12 0.353 0.25 0.083 | 12 0.353 0.25 0.083 | 26 0.362 0.192 0.038 | 43 0.359 0.186 0.093 | 51 0.352 0.176 0.078 | ||||||||
B2/L12 | 5 0.545 0.4 0.2 | 5 0.545 0.4 0.2 | 21 0.397 0.286 0.048 | 55 0.405 0.345 0.309 | 91 0.343 0.297 0.264 | 163 0.39 0.356 0.233 | 417 0.432 0.396 0.317 | 763 0.439 0.4 0.328 | 916 0.454 0.414 0.357 | 1003 0.453 0.414 0.371 | 1141 0.454 0.415 0.393 | 1303 0.467 0.424 0.408 | 1532 0.474 0.414 0.441 | |
B3/L11 | 6 1.03 1 0.833 | 10 0.951 0.9 0.8 | 24 0.822 0.833 0.875 | 31 0.812 0.839 0.903 | 39 0.724 0.744 0.872 | 46 0.717 0.761 0.826 | 64 0.654 0.766 0.844 | |||||||
B4/L10 | 4 0.601 0.75 0.75 | 4 0.601 0.75 0.75 | 7 0.404 0.571 0.857 | 10 0.418 0.5 0.7 | 12 0.457 0.583 0.667 | |||||||||
B5/L9 | 3 0.46 0.667 1 | 5 0.581 0.6 1 | ||||||||||||
B6/L8 | 2 0.315 0.5 0.5 | 2 0.315 0.5 0.5 | 2 0.315 0.5 0.5 | 3 0.628 0.667 0.667 | 3 0.628 0.667 0.667 | 4 0.471 0.5 0.5 | 5 0.541 0.6 0.6 | 5 0.541 0.6 0.6 | 7 0.652 0.714 0.714 | |||||
B10/L4 | 2 0.454 0.5 1 | 6 0.499 0.5 1 | 6 0.499 0.5 1 | 9 0.605 0.667 1 | 10 0.678 0.7 1 | 15 0.626 0.667 0.867 | ||||||||
B11/L3 | 2 0.391 0.5 1 | 2 0.391 0.5 1 | 13 0.409 0.462 0.923 | 20 0.444 0.45 0.9 | 22 0.475 0.455 0.909 | 34 0.592 0.588 0.765 | 38 0.596 0.579 0.763 | 46 0.557 0.543 0.761 | ||||||
B12/L2 | 6 0.381 0.5 1 | 16 0.653 0.688 0.875 | 23 0.612 0.652 0.826 | 25 0.588 0.6 0.8 | 34 0.61 0.588 0.735 | 41 0.625 0.634 0.732 | 72 0.663 0.708 0.819 | |||||||
C1/K13 | 3 0.026 0 0 | 14 0.525 0.5 0 | 25 0.36 0.36 0.12 | 27 0.374 0.37 0.111 | 27 0.374 0.37 0.111 | 29 0.353 0.345 0.103 | 39 0.413 0.333 0.103 | |||||||
C2/K12 | 2 0.312 0 0 | 3 0.182 0 0 | 8 0.428 0.375 0.25 | 13 0.545 0.538 0.385 | 35 0.412 0.429 0.4 | 46 0.404 0.391 0.522 | 76 0.452 0.395 0.579 | 120 0.477 0.442 0.592 | 126 0.481 0.452 0.587 | 135 0.496 0.467 0.6 | 156 0.48 0.455 0.603 | 197 0.493 0.472 0.614 | ||
C3/K11 | 7 0.628 0.571 0.857 | 10 0.627 0.6 0.8 | 15 0.682 0.733 0.867 | 23 0.684 0.739 0.87 | 49 0.594 0.714 0.878 | |||||||||
C4/K10 | 2 0.359 0.5 1 | 3 0.269 0.333 1 | 4 0.446 0.5 1 | 4 0.446 0.5 1 | 8 0.622 0.75 0.875 | 9 0.661 0.778 0.889 | 11 0.628 0.727 0.727 | 19 0.67 0.842 0.842 | 24 0.73 0.833 0.792 | |||||
C10/K4 | 4 0.712 0.75 1 | 4 0.712 0.75 1 | 5 0.723 0.8 1 | |||||||||||
C11/K3 | 4 0.969 1 0.75 | 8 0.676 0.75 0.75 | 9 0.7 0.778 0.778 | 11 0.71 0.818 0.818 | 12 0.712 0.833 0.833 | 13 0.702 0.846 0.846 | ||||||||
D1/J13 | 2 -0.131 0 0.5 | 9 0.145 0.111 0.444 | 10 0.12 0.1 0.4 | 10 0.12 0.1 0.4 | 16 0.304 0.188 0.313 | 17 0.328 0.235 0.294 | 18 0.328 0.222 0.333 | |||||||
D2/J12 | 2 0.513 0.5 0.5 | 4 0.528 0.5 0.5 | 8 0.452 0.375 0.375 | 24 0.429 0.333 0.375 | 50 0.516 0.46 0.46 | 62 0.496 0.419 0.5 | 87 0.523 0.437 0.517 | 87 0.523 0.437 0.517 | 90 0.528 0.444 0.522 | 93 0.52 0.43 0.538 | 98 0.52 0.429 0.551 | |||
D3/J11 | 3 0.979 1 1 | 4 0.769 0.75 1 | 5 0.788 0.8 1 | 6 0.822 0.833 1 | 13 0.726 0.769 0.923 | |||||||||
D4/J10 | 6 0.451 0.5 1 | 7 0.521 0.571 1 | 7 0.521 0.571 1 | 8 0.547 0.625 1 | 11 0.535 0.545 0.909 | |||||||||
D5/J9 | 2 0.714 0.5 1 | 4 0.841 0.75 1 | 8 0.668 0.75 1 | 10 0.715 0.8 1 | 11 0.756 0.818 1 | 15 0.701 0.733 0.933 | ||||||||
D10/J4 | 2 0.008 0 0.5 | 8 0.578 0.625 0.75 | 10 0.634 0.7 0.8 | |||||||||||
E1/I13 | 3 0.45 0.333 0 | 4 0.375 0.25 0 | 5 0.359 0.2 0.2 | 5 0.359 0.2 0.2 | 7 0.271 0.143 0.143 | |||||||||
E2/I12 | 8 0.352 0.375 0.5 | 10 0.286 0.3 0.5 | 11 0.359 0.364 0.545 | 13 0.42 0.385 0.462 | 21 0.283 0.238 0.571 | 29 0.305 0.241 0.655 | 45 0.364 0.311 0.644 | 48 0.4 0.333 0.667 | 52 0.396 0.327 0.673 | 53 0.391 0.321 0.679 | 55 0.398 0.327 0.691 | |||
E6/I8 | 2 1.045 1 0.5 | 2 1.045 1 0.5 | 4 0.865 1 0.5 | 5 0.756 0.8 0.6 | ||||||||||
F1/H13 | 6 0.67 0.667 0.5 | 6 0.67 0.667 0.5 | ||||||||||||
F2/H12 | 3 0.404 0.333 0 | 3 0.404 0.333 0 | 4 0.529 0.5 0 | 5 0.427 0.4 0 | 6 0.366 0.333 0.167 | 10 0.461 0.5 0.2 | 14 0.365 0.429 0.143 | 15 0.365 0.4 0.2 | 15 0.365 0.4 0.2 | 15 0.365 0.4 0.2 | 16 0.38 0.438 0.188 | |||
F8/H6 | 2 0.399 0.5 1 | 2 0.399 0.5 1 | 6 0.605 0.667 1 | 6 0.605 0.667 1 | ||||||||||
G1/G13 | 5 0.519 0.4 0.2 | 6 0.406 0.333 0.333 | ||||||||||||
G2/G12 | 2 0.419 0.5 0.5 | 3 0.305 0.333 0.333 | 9 0.488 0.444 0.556 | 11 0.498 0.455 0.636 | 11 0.498 0.455 0.636 | 11 0.498 0.455 0.636 | 13 0.495 0.462 0.615 | 14 0.469 0.429 0.643 | ||||||
G7/G7 | 2 1.021 1 1 | 2 1.021 1 1 | 4 1.081 1 0.75 | 6 0.77 0.667 0.833 | 13 0.734 0.692 0.769 | 13 0.734 0.692 0.769 | 15 0.761 0.733 0.733 | 19 0.769 0.737 0.684 | ||||||
H1/F13 | 3 0.617 0.667 0.333 | 5 0.535 0.6 0.2 | 5 0.535 0.6 0.2 | 5 0.535 0.6 0.2 | 5 0.535 0.6 0.2 | 5 0.535 0.6 0.2 | ||||||||
H2/F12 | 2 0.156 0 0 | 2 0.156 0 0 | 2 0.156 0 0 | 3 0.026 0 0 | 4 0.013 0 0.25 | 6 0.256 0.167 0.333 | 8 0.443 0.375 0.25 | 9 0.387 0.333 0.222 | 10 0.467 0.4 0.3 | 12 0.45 0.417 0.333 | 16 0.533 0.5 0.438 | |||
H4/F10 | 3 0.749 0.667 1 | 5 0.715 0.8 1 | 9 0.737 0.889 1 | |||||||||||
I2/E12 | 2 0.287 0.5 1 | 4 0.141 0.25 1 | 4 0.141 0.25 1 | 5 0.128 0.2 1 | 5 0.128 0.2 1 | 6 0.034 0.167 1 | 6 0.034 0.167 1 | 6 0.034 0.167 1 | ||||||
I3/E11 | 2 0.976 1 1 | 5 0.465 0.6 1 | 7 0.481 0.571 0.857 | 7 0.481 0.571 0.857 | 8 0.445 0.5 0.875 | 8 0.445 0.5 0.875 | 8 0.445 0.5 0.875 | |||||||
I4/E10 | 5 0.766 1 1 | |||||||||||||
J2/D12 | 3 -0.041 0 0.333 | 5 0.312 0.4 0.4 | 10 0.402 0.4 0.4 | 18 0.481 0.5 0.333 | 21 0.488 0.476 0.429 | 22 0.483 0.455 0.455 | 24 0.488 0.458 0.458 | 26 0.485 0.423 0.5 | 30 0.484 0.433 0.567 | |||||
J3/D11 | 3 0.731 0.667 1 | 3 0.731 0.667 1 | 4 0.477 0.5 0.75 | 5 0.458 0.4 0.8 | 8 0.486 0.5 0.75 | 11 0.555 0.636 0.818 | ||||||||
K1/C13 | 2 0.317 0.5 0.5 | 2 0.317 0.5 0.5 | 2 0.317 0.5 0.5 | 2 0.317 0.5 0.5 | 7 0.228 0.286 0.571 | |||||||||
K2/C12 | 6 0.335 0.333 0 | 13 0.435 0.385 0 | 23 0.358 0.304 0.043 | 53 0.337 0.321 0.321 | 77 0.363 0.377 0.325 | 134 0.354 0.366 0.306 | 169 0.375 0.379 0.343 | 200 0.407 0.4 0.355 | 319 0.413 0.376 0.376 | 385 0.431 0.392 0.4 | 418 0.425 0.371 0.421 | 474 0.431 0.359 0.458 | 500 0.439 0.36 0.472 | 550 0.442 0.353 0.493 |
L1/B13 | 2 0.191 0 0 | 2 0.191 0 0 | 14 0.369 0.214 0.143 | 17 0.389 0.235 0.235 | 21 0.405 0.238 0.19 | 22 0.388 0.227 0.227 | 22 0.388 0.227 0.227 | 88 0.39 0.295 0.352 |