#pragma GCC optimize ("O3")
#pragma GCC target ("avx,avx2")

#include <iostream>

using i32 = int;
using u64 = unsigned long long int;

constexpr i32 mod = 1234567891;
i32 A[100];
i32 num[2*50*500];

int main(){
  i32 n;
  u64 m;
  std::cin >> n >> m;
  i32 sum = 0;
  for(i32 i = 0; i < n; i++){
    std::cin >> A[i];
    sum += A[i];
  }

  num[0] = 1;
  i32 deg = 0;
  for(; m; m >>= 1){
    for(i32 j = 0; j < n; j++){
      if(A[j] & 1){
        deg += A[j];
        for(i32 i = deg; i >= A[j]; i--){
          num[i] += num[i-A[j]] - mod;
          if(num[i] < 0) num[i] += mod;
        }
      }
      else A[j] >>= 1;
    }
    for(i32 i = 0; i <= (deg - (i32) (m&1))/2; i++) num[i] = num[(i << 1) | (m & 1)];
    for(i32 i = (deg-(m&1))/2 + 1; i <= deg; i++) num[i] = 0;
    deg = (deg - (m&1))/2;
  }
  printf("%u\n", num[0]);
  return 0;
}