#include <bits/stdc++.h>

using namespace std;
typedef long long LL;
const int N = 30;
const int M = 1e4 + 10;
LL f[N][M];
int w[N];

int main() {
    int n, m;
    scanf("%d%d", &n, &m);
    for (int i = 1; i <= n; i++) scanf("%d", &w[i]);

    f[0][0] = 1; // 使用0种货币，凑0元钱,也是一种方案。可以理解为是超级源点，有了它，每个基础货币价格才成为合法~
    for (int i = 1; i <= n; i++)
        for (int j = 0; j <= m; j++) {
            for (int k = 0; k * w[i] <= j; k++)
                f[i][j] += f[i - 1][j - k * w[i]];
        }
    printf("%lld\n", f[n][m]);
    return 0;
}