/* -*- coding: utf-8 -*- * * 385.cc: No.385 カップ麺生活 - 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_M = 10000; const int MAX_N = 20; /* typedef */ typedef long long ll; /* global variables */ int cs[MAX_N], dp[2][MAX_M + 1]; bool primes[MAX_M + 1]; /* subroutines */ void gen_primes(int maxp) { memset(primes, true, sizeof(primes)); primes[0] = primes[1] = false; int p; for (p = 2; p * p <= maxp; p++) if (primes[p]) for (int q = p * p; q <= maxp; q += p) primes[q] = false; } /* main */ int main() { int m, n; cin >> m >> n; for (int i = 0; i < n; i++) cin >> cs[i]; memset(dp, -1, sizeof(dp)); dp[0][0] = 0; int cur = 0, nxt = 1; for (int i = 0; i < n; i++) { memcpy(dp[nxt], dp[cur], sizeof(dp[cur])); for (int c = cs[i], v = 1; c <= m; c += cs[i], v++) for (int j0 = 0, j1 = c; j1 <= m; j0++, j1++) if (dp[cur][j0] >= 0) { int d = dp[cur][j0] + v; if (dp[nxt][j1] < d) dp[nxt][j1] = d; } cur ^= 1, nxt ^= 1; } gen_primes(m); int sum = 0, maxd = 0; for (int i = 1; i <= m; i++) if (dp[cur][i] >= 0) { //printf("dp[%d]=%d(%d)\n", i, dp[cur][i], primes[m - i]); if (primes[m - i]) sum += dp[cur][i]; if (maxd < dp[cur][i]) maxd = dp[cur][i]; } printf("%d\n", sum + maxd); return 0; }