#include "biscuits.h"
#include <bits/stdc++.h>
using namespace std;
long long count_tastiness(long long x, vector<long long> a) {
int k = (int) a.size();
auto b = a;
for (int i = 1; i < k; i++) {
b[i] += b[i - 1] / 2;
}
while (b.back() > 0) {
k += 1;
a.emplace_back(0);
b.emplace_back(b.back() / 2);
}
vector<long long> dp_on(k); // dp_on[i] = first i bits, i-th bit is on
vector<long long> dp_off(k); // dp_off[i] = first i bits, i-th bit is off
for (int i = 0; i < k; i++) {
dp_off[i] = (i > 0 ? (dp_on[i - 1] + dp_off[i - 1]) : 1);
if (b[i] < x) {
dp_on[i] = 0;
} else {
dp_on[i] = 1;
long long need = max(0ll, x - a[i]);
for (int j = i - 1; j >= 0; j--) {
need = need * 2;
if (b[j] >= need + x) {
dp_on[i] += dp_off[j]; // turn the j-th bit off
need = max(0ll, need + x - a[j]); // turn the j-th bit on
} else {
need = max(0ll, need - a[j]); // the j-th bit can only be off
}
}
}
}
return dp_on[k - 1] + dp_off[k - 1];
}
