#include "biscuits.h"
#include<bits/stdc++.h>
using namespace std;
using ll = long long;
using ull = unsigned long long;
const ull INF = 2e18+1;
ll count_tastiness(ll _x, vector<ll> _a) {
ull x = _x;
int k = _a.size();
vector<ull> a(k+60, 0); for(int i=0; i<k; ++i) a[i] = _a[i];
k+=60;
vector<ull> dp(k), dp0(k), pref(k);
pref[0] = a[0];
for(int i=1; i<k; ++i) {
pref[i] = pref[i-1]/2 + a[i];
}
for(int i=0; i<k; ++i) {
if(i>0) {
dp0[i] = dp[i-1];
}
else {
dp0[i] = 1;
}
ull sum = 0;
dp[i] = 1;
for(int j=i; j>=0; --j) {
if(pref[j] >= x + sum) {
dp[i] += dp0[j];
if(sum < INF && sum + x < INF) {
sum += x;
if(a[j] > sum) sum = 0;
else sum -= a[j];
sum *= 2;
}
else {
sum = INF;
}
}
else {
if(a[j] > sum) sum = 0;
else sum -= a[j];
if(sum < INF) sum *= 2;
else sum = INF;
}
}
}
return dp[k-1];
}
