def silnia(n): wynik = 1; for i in range(2, n+1): wynik *= i; return wynik def binom(n, k): return silnia(n) // (silnia(k) * silnia(n-k)) def ile_krawdzi(n, m, p): return ((n-1) * m + n * (m-1)) * (binom(n*m-2, p-1)) def licz_ruchy(plansza): n = len(plansza) m = len(plansza[0]) count = 0 for i in range(n): for j in range(m): if plansza[i][j] == "O": if i - 1 >= 0 and plansza[i-1][j] == ".": count += 1 if i + 1 < n and plansza[i+1][j] == ".": count += 1 if j - 1 >= 0 and plansza[i][j-1] == ".": count += 1 if j + 1 < m and plansza[i][j+1] == ".": count += 1 return count def parity(plansza): n = len(plansza) m = len(plansza[0]) count = 0 for i in range(n): for j in range(m): if (i + j) % 2 == 1 and plansza[i][j] == "O": count += 1 return count % 2 n, m = input().split() n = int(n) m = int(m) start = [] for _ in range(n): start.append(input()) input() goal = [] for _ in range(n): goal.append(input()) p = 0 for i in range(n): for j in range(m): if start[i][j] == "O": p += 1 if parity(start) != parity(goal): print(0.0) else: print("{:.15f}".format(licz_ruchy(goal) / ile_krawdzi(n, m, p)))
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 | def silnia(n): wynik = 1; for i in range(2, n+1): wynik *= i; return wynik def binom(n, k): return silnia(n) // (silnia(k) * silnia(n-k)) def ile_krawdzi(n, m, p): return ((n-1) * m + n * (m-1)) * (binom(n*m-2, p-1)) def licz_ruchy(plansza): n = len(plansza) m = len(plansza[0]) count = 0 for i in range(n): for j in range(m): if plansza[i][j] == "O": if i - 1 >= 0 and plansza[i-1][j] == ".": count += 1 if i + 1 < n and plansza[i+1][j] == ".": count += 1 if j - 1 >= 0 and plansza[i][j-1] == ".": count += 1 if j + 1 < m and plansza[i][j+1] == ".": count += 1 return count def parity(plansza): n = len(plansza) m = len(plansza[0]) count = 0 for i in range(n): for j in range(m): if (i + j) % 2 == 1 and plansza[i][j] == "O": count += 1 return count % 2 n, m = input().split() n = int(n) m = int(m) start = [] for _ in range(n): start.append(input()) input() goal = [] for _ in range(n): goal.append(input()) p = 0 for i in range(n): for j in range(m): if start[i][j] == "O": p += 1 if parity(start) != parity(goal): print(0.0) else: print("{:.15f}".format(licz_ruchy(goal) / ile_krawdzi(n, m, p))) |