def prime_factorization(n): # 素因数分解 res = [] for i in range(2, int(n ** 0.5) + 1): if n % i == 0: cnt = 0 while n % i == 0: cnt += 1 n //= i res.append((i, cnt)) if n > 1: res.append((n, 1)) return res def count(N, p): """N!がpで何回割れるか""" res = 0 v = 1 for _ in range(100): v *= p if v > N: break res += N // v return res N, K, M = map(int, input().split()) pf = prime_factorization(M) X = 10 ** 18 for p, f in pf: tot = count(N, p) - count(K, p) - count(N - K, p) X = min(X, tot // f) print(X)