How many possible openings are there in the game of chess, if we define an that opening consists of each player making their first 3 moves?
(With one move there are 400 possible openings)
Here are some results:
1: 20 moves (0.01)
2: 400 moves (0.061)
3: 8982 moves (1.402)
4: 201378 moves (6.258)
5: 5034155 moves (95.431)
6: 125382039 moves (2491.218)
so the answer would be 125382039.
anyone is free to review code and
algorithm/implementation details.
if anybody else reached the same
result independently i would say that
would really be conclusive.