"""Mines (5x5): exact odds and multipliers for every mine count x safe picks."""
from math import comb
from common import save

EDGE = 0.01
grid = []
rows = []
for m in range(1, 25):
    for k in range(1, 26 - m):
        p = comb(25 - m, k) / comb(25, k)
        fair = 1 / p
        grid.append({"mines": m, "picks": k, "p_pct": round(p * 100, 6), "fair_mult": round(fair, 4),
                     "mult_1pct_edge": round(fair * (1 - EDGE), 4)})
        rows.append([m, k, round(p * 100, 6), round(fair, 4), round(fair * (1 - EDGE), 4)])

save("mines", {"game": "Mines 5x5", "method": "exact: P = C(25-m,k)/C(25,k)", "house_edge_example": EDGE,
               "seed": "n/a (exact)", "script": "mines_odds.py"},
     {"grid": grid}, rows, ["mines", "safe_picks", "probability_pct", "fair_multiplier", "multiplier_at_1pct_edge"])