/* -*- coding: utf-8 -*- * * 458.cc: No.458 異なる素数の和 - yukicoder */ #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; /* constant */ const int MAX_N = 20000; /* typedef */ typedef vector vi; /* global variables */ bool primes[MAX_N + 1]; int dp[MAX_N + 1]; /* subroutines */ void gen_primes(int maxp, vi &pnums) { memset(primes, true, sizeof(primes)); primes[0] = primes[1] = false; int p; for (p = 2; p * p <= maxp; p++) if (primes[p]) { pnums.push_back(p); for (int q = p * p; q <= maxp; q += p) primes[q] = false; } for (; p <= maxp; p++) if (primes[p]) pnums.push_back(p); } /* main */ int main() { vi pnums; gen_primes(MAX_N, pnums); int n; cin >> n; memset(dp, -1, sizeof(dp)); dp[0] = 0; for (vi::iterator vit = pnums.begin(); vit != pnums.end(); vit++) { int &p = *vit; if (p > n) break; for (int i = n - p; i >= 0; i--) if (dp[i] >= 0) { int d0 = dp[i] + 1; if (dp[i + p] < d0) dp[i + p] = d0; } } printf("%d\n", dp[n]); return 0; }