▲ | tromp 10 hours ago | |
> There is no reachable chess position with more than 218 moves. "no more than 218 possible next moves" would be a lot clearer... > By checking all approximately 8.7x10^45 reachable chess positions? That's a large overestimate. https://github.com/tromp/ChessPositionRanking accurately estimates the number of legal chess positions at ~4.8x10^44. | ||
▲ | XCSme 8 hours ago | parent | next [-] | |
Isn't that estimate just 20x bigger? Which is not a big difference considering the magnitude. | ||
▲ | nhumrich 4 hours ago | parent | prev [-] | |
One is "legal" the other is "total problem space" From a computing point of view, the total problem space is what matter because you still have to "compute" if it's legal or not before moving on. There isn't a straightforward way to only iterate over legal positions. |