#include "biscuits.h"
#include<bits/stdc++.h>
using namespace std;
using ll = long long;
using ull = unsigned long long;
const ull INF = 4e18+1;
ll count_tastiness(ll x, vector<ll> a) {
int k = a.size();
vector<ll> dp(k), dp0(k), pref(k);
pref[0] = a[0];
for(int i=1; i<k; ++i) {
pref[i] = pref[i-1]/2LL + 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] - (ll)sum >= x) {
dp[i] += dp0[j];
if(sum < INF/2 && sum + x < INF/2) {
sum += x;
if((ull)a[j] > sum) sum = 0;
else sum -= a[j];
sum *= 2;
}
else {
sum = INF;
}
}
else {
if((ull)a[j] > sum) sum = 0;
else sum -= a[j];
if(sum < INF/2LL) sum *= 2LL;
else sum = INF;
}
}
}
if(dp[k-1] < 0LL) {
assert(false);
}
return dp[k-1];
}
