#include "biscuits.h"
#include<bits/stdc++.h>
#define pb push_back
#define F first
#define S second
#define str string
#define ll long long
#define ull unsigned ll
#define ld long double
#define pll pair<ll,ll>
#define plll pair<ll,pll>
#define pllll pair<pll,pll>
#define pii pair<int,int>
#define vl vector<ll>
#define vll vector<pll>
#define vlll vector<plll>
#define vllll vector<p4>
#define vi vector<int>
#define vii vector<pii>
#define sz(x) (ll)(x).size()
#define fr front()
#define tp top()
#define all(x) (x).begin(), (x).end()
#define rall(x) (x).rbegin(), (x).rend()
#define ins insert
#define m_p make_pair
#pragma GCC target( "sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,tune=native")
#pragma GCC optimize("Ofast,unroll-loops,fast-math,O3")
using namespace std;
const ld pi=acos(-1.0);
const ll e5=1e5, e6=1e6, e9=1e9;
const ll inf=1e18;
const ll mod=998244353;
const ll MOD=106710087877475399;
const ll N=1e6+10;
const ll M=200+10;
const ld eps=1e-9;
mt19937_64 rng(chrono::steady_clock::now().time_since_epoch().count());
ll bpm(ll x,ll y,ll m){if(y==0)return 1%m;ll p=bpm(x,y/2,m);
if(y%2==0)return p*p%m;else return p*p%m*x%m;}
ll bp(ll x,ll y){if(y==0)return 1;ll p=bp(x,y/2);
if(y%2==0)return p*p;else return p*p*x;}
ll k,dp[M];
ll f(ll l,ll r,ll x){
return (r-l)/x+1;
}
long long count_tastiness(long long x, std::vector<long long> a){
k=sz(a);
for(ll i=0;i<60;i++) a.pb(0);
dp[0]=1;
for(ll i=1;i<=k+60;i++){
dp[i]=dp[i-1];
ll l=x,r=x;
for(ll j=i-1;j>=0;j--){
if(a[j]>=r){ dp[i]+=dp[j]*((r-l)/x+1); break;}
r-=a[j];
if(a[j]>=l) dp[i]+=dp[j]*((a[j]-l)/x+1), l=(l-a[j]%x+x-1)%x+1;
else l-=a[j];
l=min(l,inf), r=min(r,inf);
l=l*2, r=r*2+x;
}
}
return dp[k+60];
}
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