#異なる素数の和 # dp[depth][sum] := num def showPrimeNum(N): """ N以下の素数を返すプログラム """ is_prime_table = [0] * (N+1) is_prime_table[1] = 0 prime_list = [] for i in range(2,N//2+1): if is_prime_table[i] == 0: j = 2 * i #イテレータ初期化 while (j <= N): is_prime_table[j] = 1 j += i #掛け算より足し算の方が、計算コストが少なくて良い for i in range(1,N+1): if is_prime_table[i] == 0: prime_list.append(i) return prime_list[1:] if __name__ == "__main__": INF = float('inf') N = int(input()) primeNum = showPrimeNum(N) l = len(primeNum) dp = [[-INF] * (N+1) for _ in range(l+1)] for i in range(0,l+1): dp[i][0] = 0 for i in range(1,l+1): for Sum in range(1,N+1): if Sum - primeNum[i-1] >= 0 : dp[i][Sum] = max([dp[i-1][Sum-primeNum[i-1]] + 1,dp[i-1][Sum]]) else: dp[i][Sum] = dp[i-1][Sum] print(dp[l][N])