#include "biscuits.h"
#include <bits/stdc++.h>
using namespace std;
// macros
typedef long long ll;
typedef long double ld;
typedef pair<int, int> ii;
typedef pair<ll, ll> lll;
typedef tuple<int, int, int> iii;
typedef vector<int> vi;
typedef vector<ii> vii;
typedef vector<iii> viii;
typedef vector<ll> vll;
typedef vector<lll> vlll;
#define REP(a,b,c) for(int a=int(b); a<int(c); a++)
#define RE(a,c) REP(a,0,c)
#define RE1(a,c) REP(a,1,c+1)
#define REI(a,b,c) REP(a,b,c+1)
#define REV(a,b,c) for(int a=int(c-1); a>=int(b); a--)
#define FOR(a,b) for(auto& a : b)
#define all(a) a.begin(), a.end()
#define INF 1e9
#define EPS 1e-9
#define pb push_back
#define popb pop_back
#define fi first
#define se second
#define sz size()
const int MX=60, MX2=11000;
ll x; vll a;
ll dp[MX][MX2];
ll getDP(ll i, ll j) {
if(j < 0) j = 0;
if(j >= MX2) return 0;
return dp[i][j];
}
ll count_tastiness(ll X, vll A) {
x=X; a=A;
while(a.size() < MX) a.pb(0);
RE(i,MX) {
if(a[i] >= x+2) {
ll rem = ((a[i]-x)/2ll)*2ll;
a[i] -= rem;
a[i+1] += rem/2ll;
}
}
RE(i,MX) RE(j,MX2) {
dp[i][j] = 0ll;
if(i == 0) {
ll remaining = a[i]-j;
if(remaining >= 0)
dp[i][j]++;
if(remaining >= x)
dp[i][j]++;
continue;
}
dp[i][j] += getDP(i-1,(j-a[i])*2ll);
dp[i][j] += getDP(i-1,(j+x-a[i])*2ll);
}
return dp[MX-1][0];
}
