#include "biscuits.h"
#include <bits/stdc++.h>
#define ll long long
#define ld long double
#define vi vector<int>
#define vl vector<long long>
#define ff first
#define ss second
#define pii pair<int,int>
#define pll pair<long long, long long>
#define pb push_back
#define rep(i, b) for(int i = 0; i < (b); ++i)
#define rep2(i,a,b) for(int i = a; i <= (b); ++i)
#define rep3(i,a,b,c) for(int i = a; i <= (b); i+=c)
#define count_bits(x) __builtin_popcountll((x))
#define all(x) (x).begin(),(x).end()
#define siz(x) (int)(x).size()
#define forall(it,x) for(auto& it:(x))
using namespace std;
const int INF = 1e9+50;
const ll INF_L = 1e18+40;
const ll MOD = 1e9+7;
map<ll,ll> dp;
ll pref[61];
ll y;
ll rek(ll x)
{
if(x < 0) return 0;
if(dp.find(x) != dp.end()) return dp[x];
ll bit = __lg(x);
dp[x] = rek((1LL << bit)-1) + rek(min(x - (1LL << bit),pref[bit]/y - (1LL << bit)));
return dp[x];
}
ll count_tastiness(ll X, vl a)
{
dp = {};
y = X;
ll cur = 0;
rep(i,61)
{
if(i < siz(a)) cur += a[i] * (1LL << (ll)i);
pref[i] = cur;
}
dp[0] = 1;
return rek((1LL << 61LL));
}
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