Cards Construction

#include <bits/stdc++.h>
#define ll long long
#define ull unsigned long long int
#define ld long double
#define pb push_back
#define p_b pop_back
#define si stack<int>
#define sll stack<ll>
#define sc stack<char>
#define vi vector<int>
#define vll vector<ll>
#define mii map<int, int>
#define msi map<string, int>
#define mci map<char, int>
#define qc queue<char>
#define qi queue<int>
#define qll queue<ll>
using namespace std;

ull cards(ll n){
    if(n < 2){
        return 0;
    } else{
        long h = (-1+sqrt(1+24*n))/6;
        return 2*n/(h*(3*h+1))+cards(n-(2*n/(h*(3*h+1)))*(h*(3*h+1)/2));
    }
}

int main(){
    ios_base::sync_with_stdio(false);
    cin.tie(NULL);
    int t;
    cin >> t;

    while(t--){
        ll n;
        cin >> n;
        cout << cards(n) << "\n";
    }
    return 0;
}