#include "biscuits.h"
#include <bits/stdc++.h>
#define sz(v) ((int)(v).size())
#define all(v) (v).begin(), (v).end()
using namespace std;
using lint = long long;
using pi = pair<lint, lint>;
long long count_tastiness(long long x, std::vector<long long> a){
vector<pi> cur;
cur = {pi(0, 1)};
for(auto &i : a){
vector<pi> v1, v2;
for(auto &[j, k] : cur){
v1.emplace_back((j + i) / 2, k);
if(j + i >= x) v2.emplace_back((j + i - x) / 2, k);
}
vector<pi> v3(sz(v1) + sz(v2));
merge(all(v1), all(v2), v3.begin());
cur.clear();
for(auto &[x, y] : v3){
if(sz(cur) && cur.back().first == x) cur.back().second += y;
else cur.emplace_back(x, y);
}
}
lint ret = 0;
for(auto &[i, j] : cur) ret += (i/x+1) * j;
return ret;
}
