//#pragma GCC target("avx2")
//#pragma GCC optimization("O3")
//#pragma GCC optimization("unroll-loops")
#include<bits/stdc++.h>
using namespace std;
#define ll long long
#define pii pair<int, int>
#define pll pair<ll, ll>
#define ff first
#define ss second
#define pb push_back
#define SZ(x) ((int)(x).size())
#define all(x) x.begin(), x.end()
#define rep(i, a, b) for(int i = (a); i < (b); i++)
#define per(i, a, b) for(int i = (a); i >= (b); i--)
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
ll x;
vector<ll> a;
unordered_map<ll, ll> memo[100];
ll f(int ind, ll add){
if(ind >= SZ(a) && add < x){
return 1;
}
if(memo[ind].count(add)){
return memo[ind][add];
}
ll& ans = memo[ind][add];
if(ind < SZ(a)) add += a[ind];
ans = f(ind + 1, add / 2);
if(add >= x){
add -= x;
ans += f(ind + 1, add / 2);
}
return ans;
}
long long count_tastiness(long long X, vector<long long> A){
a = A, x = X;
rep(i, 0, 100) memo[i].clear();
return f(0, 0);
}
