//まごうことなき良問。O(NΣAi logM) #include #define int long long #define rep(i, n) for(i = 0; i < n; i++) using namespace std; int mod = 1234567891; int n, m; int a[50]; int dp[51][60001]; signed main() { int i, j, k; cin >> n >> m; rep(i, n) cin >> a[i]; dp[0][0] = 1; rep(i, 60) { rep(j, n) { rep(k, 60001) { if (!dp[j][k]) continue; (dp[j + 1][k] += dp[j][k]) %= mod; (dp[j + 1][k + a[j]] += dp[j][k]) %= mod; } } static int tmp[30001]; rep(j, 30000) { tmp[j] = dp[n][2 * j + (m >> i) % 2]; } rep(j, n + 1) rep(k, 60001) dp[j][k] = 0; rep(j, 30000) dp[0][j] = tmp[j]; } cout << dp[0][0] << endl; return 0; }