Many octal games are equivalent. For equivalent games, nim sequences are same.
A game in which taking a 1-element heap is not allowed is considered equivalent to the game with all heap sizes reduced by 1. This offsets the nim sequence.
Look up the equivalent game in these tables:
| game | 1 | 2 | 3 | 4 | 5 | 6 | 7 |
|---|---|---|---|---|---|---|---|
| .x | - | 4 | 4 | - | 4 | - | 4 |
| 4.x | .51 | 4 | - | .77 | .51 | .77 | .75 |
| game | 1 | 2 | 3 | 4 | 5 | 6 | 7 |
|---|---|---|---|---|---|---|---|
| .0x | .1 | - | .02 | - | 4 | - | .4 |
| .1x | - | - | .02 | - | - | - | - |
| .2x | 4 | - | .22 | 4 | 4 | - | .26 |
| .3x | - | - | .22 | - | - | - | .6 |
| .4x | .17 | .4 | .17 | - | - | .44 | .45 |
| .5x | - | - | - | - | .51 | - | - |
| .6x | .6 | .6 | .6 | - | .64 | .64 | .64 |
| .7x | - | - | .26 | - | - | - | - |
| 4.0x | 4 | .26 | .26 | 4 | 4 | .26 | .26 |
| 4.1x | .51 | - | 4.12 | .51 | .51 | .57 | .57 |
| 4.2x | 4 | .26 | .26 | 4 | 4 | .26 | .26 |
| 4.3x | 4.3 | .332 | .332 | 4.3 | 4.3 | .332 | .332 |
| 4.4x | .77 | .77 | .77 | .776 | .776 | .776 | .776 |
| 4.5x | .51 | .57 | .57 | .51 | .51 | .57 | .57 |
| 4.6x | .77 | .77 | .77 | .776 | .776 | .776 | .776 |
| 4.7x | .75 | - | 4.72 | .75 | .75 | 4.72 | 4.72 |
| game | 1 | 2 | 3 | 4 | 5 | 6 | 7 |
|---|---|---|---|---|---|---|---|
| .00x | .1 | - | .002 | - | - | - | .04 |
| .01x | .11 | 4 | .002 | - | - | - | - |
| .02x | .02 | - | .022 | - | .024 | - | .026 |
| .03x | .02 | .022 | .022 | - | .034 | .06 | .06 |
| .04x | .017 | .04 | .017 | - | - | .044 | .045 |
| .05x | - | 4 | .051 | - | - | .054 | .055 |
| .06x | .06 | .06 | .06 | - | .064 | .064 | .064 |
| .07x | .4 | .4 | .4 | .44 | .44 | .44 | .44 |
| .10x | - | - | 4 | - | 4 | - | 4 |
| .11x | - | - | .002 | - | - | - | .051 |
| .12x | - | - | - | - | - | - | - |
| .13x | - | - | .022 | - | - | - | .4 |
| .14x | - | - | - | - | - | - | - |
| .15x | .51 | - | - | - | .51 | - | - |
| .16x | - | - | - | - | - | - | - |
| .17x | - | - | - | - | .57 | - | .45 |
| .20x | .31 | 4 | .71 | - | - | - | - |
| .21x | .31 | 4 | .71 | .204 | .205 | .206 | .207 |
| .22x | .22 | .26 | .26 | - | .224 | - | .226 |
| .23x | .22 | .26 | .26 | .224 | .224 | .226 | .226 |
| .24x | .71 | 4 | .71 | - | - | .244 | .245 |
| .25x | .71 | 4 | .71 | .244 | .245 | .244 | .245 |
| .26x | .26 | .26 | .26 | - | .264 | .264 | .264 |
| .27x | .26 | .26 | .26 | .264 | .264 | .264 | .264 |
| .30x | 4 | 4 | 4 | 4 | 4 | 4 | 4 |
| .31x | .71 | - | .71 | - | .71 | - | .71 |
| .32x | .32 | .72 | .72 | - | .324 | .72 | .72 |
| .33x | - | - | .26 | - | .26 | - | .26 |
| .34x | .34 | - | .342 | - | .344 | - | .346 |
| .35x | - | 4.3 | - | - | .75 | - | .75 |
| .36x | .36 | - | .362 | - | .364 | - | .366 |
| .37x | - | .332 | - | - | - | - | .64 |
| .40x | .4 | .4 | .4 | - | .404 | .404 | .404 |
| .41x | .17 | .173 | .173 | - | .414 | - | .416 |
| .42x | .4 | .4 | .4 | .404 | .404 | .404 | .404 |
| .43x | .17 | .173 | .173 | .414 | .414 | .416 | .416 |
| .44x | .44 | .44 | .44 | - | .444 | .444 | .444 |
| .45x | .45 | .45 | .45 | - | .454 | .454 | .454 |
| .46x | .44 | .44 | .44 | .444 | .444 | .444 | .444 |
| .47x | .45 | .45 | .45 | .454 | .454 | .454 | .454 |
| .50x | 4 | 4 | 4 | 4 | 4 | 4 | 4 |
| .51x | .51 | - | .512 | .51 | .51 | .157 | .157 |
| .52x | .52 | .52 | .52 | - | .524 | .524 | .524 |
| .53x | .53 | - | .532 | .57 | .57 | - | .536 |
| .54x | .54 | .54 | .54 | .147 | .147 | .147 | .147 |
| .55x | .51 | .157 | .157 | .51 | .51 | .157 | .157 |
| .56x | .56 | .56 | .56 | - | .564 | .564 | .564 |
| .57x | .57 | .536 | .536 | .57 | .57 | .536 | .536 |
| .60x | .6 | .373 | .373 | - | .604 | - | .606 |
| .61x | .6 | .373 | .373 | .604 | .604 | .606 | .606 |
| .62x | .6 | .373 | .373 | .604 | .604 | .606 | .606 |
| .63x | .6 | .373 | .373 | .604 | .604 | .606 | .606 |
| .64x | .64 | .64 | .64 | - | .644 | .644 | .644 |
| .65x | .64 | .64 | .64 | .644 | .644 | .644 | .644 |
| .66x | .64 | .64 | .64 | .644 | .644 | .644 | .644 |
| .67x | .64 | .64 | .64 | .644 | .644 | .644 | .644 |
| .70x | 4 | 4 | 4 | 4 | 4 | 4 | 4 |
| .71x | .71 | .71 | .71 | .71 | .71 | .71 | .71 |
| .72x | .72 | .72 | .72 | .72 | .72 | .72 | .72 |
| .73x | .26 | .26 | .26 | .26 | .26 | .26 | .26 |
| .74x | .74 | .74 | .74 | - | .744 | .744 | .744 |
| .75x | .75 | .75 | .75 | .75 | .75 | .75 | .75 |
| .76x | .76 | .76 | .76 | - | .764 | .764 | .764 |
| .77x | .77 | - | .772 | - | .774 | - | .776 |
| 4.00x | .71 | 4 | .71 | - | - | 4.004 | - |
| 4.01x | .71 | 4 | .71 | 4.004 | 4.005 | 4.004 | 4.007 |
| 4.02x | .26 | .26 | .26 | - | 4.024 | - | 4.026 |
| 4.03x | .26 | .26 | .26 | 4.024 | 4.024 | 4.026 | 4.026 |
| 4.04x | .71 | 4 | .71 | - | - | 4.044 | 4.045 |
| 4.05x | .71 | 4 | .71 | 4.044 | 4.045 | 4.044 | 4.045 |
| 4.06x | .26 | .26 | .26 | - | 4.064 | 4.064 | 4.064 |
| 4.07x | .26 | .26 | .26 | 4.064 | 4.064 | 4.064 | 4.064 |
| 4.10x | .51 | - | 4.102 | .51 | .51 | .157 | .157 |
| 4.11x | .51 | 4.102 | 4.102 | .51 | .51 | .157 | .157 |
| 4.12x | 4.12 | - | 4.122 | .57 | .57 | .536 | .536 |
| 4.13x | 4.12 | 4.122 | 4.122 | .57 | .57 | .536 | .536 |
| 4.14x | .51 | .157 | .157 | .51 | .51 | .157 | .157 |
| 4.15x | .51 | .157 | .157 | .51 | .51 | .157 | .157 |
| 4.16x | .57 | .536 | .536 | .57 | .57 | .536 | .536 |
| 4.17x | .57 | .536 | .536 | .57 | .57 | .536 | .536 |
| 4.20x | .71 | 4 | .71 | 4.004 | 4.005 | 4.004 | 4.007 |
| 4.21x | .71 | 4 | .71 | 4.004 | 4.005 | 4.004 | 4.007 |
| 4.22x | .26 | .26 | .26 | 4.024 | 4.024 | 4.026 | 4.026 |
| 4.23x | .26 | .26 | .26 | 4.024 | 4.024 | 4.026 | 4.026 |
| 4.24x | .71 | 4 | .71 | 4.044 | 4.045 | 4.044 | 4.045 |
| 4.25x | .71 | 4 | .71 | 4.044 | 4.045 | 4.044 | 4.045 |
| 4.26x | .26 | .26 | .26 | 4.064 | 4.064 | 4.064 | 4.064 |
| 4.27x | .26 | .26 | .26 | 4.064 | 4.064 | 4.064 | 4.064 |
| 4.30x | .353 | 4.3 | .353 | - | .75 | 4.304 | .75 |
| 4.31x | .353 | 4.3 | .353 | 4.304 | .75 | 4.304 | .75 |
| 4.32x | 4.72 | .332 | - | - | 4.72 | 4.324 | - |
| 4.33x | 4.72 | .332 | 4.323 | 4.324 | 4.72 | 4.324 | 4.327 |
| 4.34x | .353 | 4.3 | .353 | - | .75 | 4.344 | .75 |
| 4.35x | .353 | 4.3 | .353 | 4.344 | .75 | 4.344 | .75 |
| 4.36x | 4.72 | .332 | 4.323 | - | 4.72 | 4.364 | - |
| 4.37x | 4.72 | .332 | 4.323 | 4.364 | 4.72 | 4.364 | 4.367 |
| 4.40x | .77 | .772 | .772 | - | 4.404 | - | 4.406 |
| 4.41x | .77 | .772 | .772 | 4.404 | 4.404 | 4.406 | 4.406 |
| 4.42x | .77 | .772 | .772 | 4.404 | 4.404 | 4.406 | 4.406 |
| 4.43x | .77 | .772 | .772 | 4.404 | 4.404 | 4.406 | 4.406 |
| 4.44x | .776 | .776 | .776 | - | 4.444 | 4.444 | 4.444 |
| 4.45x | .776 | .776 | .776 | 4.444 | 4.444 | 4.444 | 4.444 |
| 4.46x | .776 | .776 | .776 | 4.444 | 4.444 | 4.444 | 4.444 |
| 4.47x | .776 | .776 | .776 | 4.444 | 4.444 | 4.444 | 4.444 |
| 4.50x | .51 | .157 | .157 | .51 | .51 | .157 | .157 |
| 4.51x | .51 | .157 | .157 | .51 | .51 | .157 | .157 |
| 4.52x | .57 | .536 | .536 | .57 | .57 | .536 | .536 |
| 4.53x | .57 | .536 | .536 | .57 | .57 | .536 | .536 |
| 4.54x | .51 | .157 | .157 | .51 | .51 | .157 | .157 |
| 4.55x | .51 | .157 | .157 | .51 | .51 | .157 | .157 |
| 4.56x | .57 | .536 | .536 | .57 | .57 | .536 | .536 |
| 4.57x | .57 | .536 | .536 | .57 | .57 | .536 | .536 |
| 4.60x | .77 | .772 | .772 | 4.404 | 4.404 | 4.406 | 4.406 |
| 4.61x | .77 | .772 | .772 | 4.404 | 4.404 | 4.406 | 4.406 |
| 4.62x | .77 | .772 | .772 | 4.404 | 4.404 | 4.406 | 4.406 |
| 4.63x | .77 | .772 | .772 | 4.404 | 4.404 | 4.406 | 4.406 |
| 4.64x | .776 | .776 | .776 | 4.444 | 4.444 | 4.444 | 4.444 |
| 4.65x | .776 | .776 | .776 | 4.444 | 4.444 | 4.444 | 4.444 |
| 4.66x | .776 | .776 | .776 | 4.444 | 4.444 | 4.444 | 4.444 |
| 4.67x | .776 | .776 | .776 | 4.444 | 4.444 | 4.444 | 4.444 |
| 4.70x | .75 | .75 | .75 | .75 | .75 | .75 | .75 |
| 4.71x | .75 | .75 | .75 | .75 | .75 | .75 | .75 |
| 4.72x | 4.72 | - | 4.722 | 4.72 | 4.72 | - | 4.726 |
| 4.73x | 4.72 | 4.722 | 4.722 | 4.72 | 4.72 | 4.726 | 4.726 |
| 4.74x | .75 | .75 | .75 | .75 | .75 | .75 | .75 |
| 4.75x | .75 | .75 | .75 | .75 | .75 | .75 | .75 |
| 4.76x | 4.72 | 4.722 | 4.722 | 4.72 | 4.72 | - | 4.766 |
| 4.77x | 4.72 | 4.722 | 4.722 | 4.72 | 4.72 | 4.766 | 4.766 |