number_possible_games.py

from tic_tac_toe.utils.permutations import get_all_boards

symmetry_classes, all_boards = get_all_boards(exclude_winners=False)

counts = [len(sc) for sc in symmetry_classes]
counts_all = [len(b) for b in all_boards]
print(f"Unique boards: {counts}, sum: {sum(counts)}")
print(f"All boards: {counts_all}, sum: {sum(counts_all)}")

symmetry_classes_menace, all_boards_menace = get_all_boards(exclude_winners=True)
counts_menace = [len(sc) for sc in symmetry_classes_menace]
counts_all_menace = [len(b) for b in all_boards_menace]
print(f"Unique boards: {counts_menace}, sum: {sum(counts_menace)}")
print(f"All boards: {counts_all_menace}, sum: {sum(counts_all_menace)}")