#include <cstdio>
int a[25];
long long sum[1<<14];

int main(){
	int n;
	long long w;
	scanf("%d%lld",&n,&w);
	for(int i = 0; i < n; i++) scanf("%d",&a[i]);
	for(int i = 0; i < (1<<n); i++){
		sum[i] = 0;
		int s = i;
		for(int j = 0; j < n; j++){
			sum[i] += 1ll*(s%2)*a[j];
			s /= 2;
		}
	}
	int ans = 0;
	for(int i = 1; i < (1<<n); i++){
		int s = i;
		int ok = 0;
		if(sum[i] == w) ok = 1;
		for(int s0 = s; s0!=0; s0 = (s0-1)&s){
			int after = sum[i] - sum[s0]/2;
			if(after == w) ok = 1;
		}
		ans += ok;
	}
	printf("%d\n",ans);
	return 0;
}