User talk:Falcon9x5.com
Game | Board size
(cells) |
State-space complexity
(as log to base 10) |
Game-tree complexity
(as log to base 10) |
Average game length
(plies) |
Complexity class of suitable generalized game |
---|---|---|---|---|---|
Tic-tac-toe | 9 | 3 | 5 | 9 | PSPACE-complete |
Connect Four | 42 | 14 | 21 | 36 | ?, but in PSPACE |
English draughts (8x8) | 32 | 20 or 18 | 31 | 70 | EXPTIME-complete |
International draughts (10x10) | 50 | 30? | 54 | 90 | EXPTIME-complete |
Reversi | 64 | 28 | 58 | 58 | PSPACE-complete |
Hex (11x11) | 121 | 56 | ? | 40 | PSPACE-complete |
Chess | 64 | 50 | 123 | 80 | EXPTIME-complete |
Backgammon | 28 | 20 | 144 | 50-60 | Generalization is unclear |
Amazons (10x10) | 100 | 40 (upper bound) | ? | ? | PSPACE-complete |
Shogi | 81 | 71 | 226 | 110? | EXPTIME-complete |
Go (19x19) | 361 | 171 | 360 | 150 | EXPTIME-complete |