#include "biscuits.h"
#ifdef NYAOWO
#include "grader.cpp"
#endif
#include <bits/stdc++.h>
#define For(i, a, b) for(int i = a; i <= b; i++)
#define Forr(i, a, b) for(int i = a; i >= b; i--)
#define F first
#define S second
#define all(x) x.begin(), x.end()
#define sz(x) ((int)x.size())
#define eb emplace_back
#define int LL
using namespace std;
using i32 = int32_t;
using LL = long long;
using pii = pair<int, int>;
const int MAXK = 60;
int a[MAXK + 10];
int val[MAXK + 10];
int sum[MAXK + 10][MAXK + 10];
vector<pii> trans[MAXK + 10]; // {minimum #tokens, bit}
int ans;
// inline void dfs(int hibit, int cur, int k, int x) {
// for(auto &i:trans[hibit]) {
// if(i.F > cur) break;
// cerr << "edge: " << hibit << " " << cur << " -> " << i.S + 1 << " " << cur - i.F << "\n";
// dfs(i.S + 1, cur - i.F, k, x);
// }
// ans++;
// }
inline void dfs2(int hibit, int cur, int x) {
if(hibit < 0) {
ans++; return;
}
cur = min(cur, sum[0][hibit]);
dfs2(hibit - 1, cur, x);
if(hibit >= 0 && cur / x >= (1ll << hibit)) {
dfs2(hibit - 1, cur - (x << hibit), x);
}
}
long long count_tastiness(long long x, std::vector<long long> _a) {
int k = sz(_a);
memset(a, 0, sizeof(a));
memset(val, 0, sizeof(val));
memset(sum, 0, sizeof(sum));
For(i, 0, MAXK) trans[i].clear();
For(i, 0, k - 1) {
a[i] = _a[i];
val[i] = a[i] << i;
}
k = 60;
For(i, 0, k) {
sum[i][i] = val[i];
For(j, i + 1, k) sum[i][j] = sum[i][j - 1] + val[j];
}
int lim = sum[0][k] / x;
For(b1, 0, k - 1) {
For(b2, b1, k - 1) {
if(lim < (1ll << b2)) break;
trans[b1].eb((x << b2) - sum[b1][b2], b2);
}
sort(all(trans[b1]));
}
ans = 0;
// dfs(0, 0, k, x);
// cerr << "\n";
dfs2(k, sum[0][k], x);
return ans;
}
