For this Question: John is confused about the number of ways to propose to Olivia. So, he asked for your help. Now, you need to determine the number of ways for John to propose to Olivia.

For that, You are given an integer N and you need to count the number of pairs (x<sub>1</sub>, x<sub>2</sub>) such that x<sub>1</sub><sup>2</sup> + x<sub>2</sub><sup>2</sup> = N and x<sub>1</sub>, x<sub>2</sub> both are positive integer.The first line contains a single integer T, the number of test cases.

T lines follow. Each line describes a single test case and contains a single integer N.

<b>Constraints:</b>
1 <= T <= 100
2 <= N <= 10<sup>5</sup>For each test case, print a single integer count of such pairs.Sample Input 1:
2
13
4

Sample Output 2:
2
0, I have written this Solution Code: //HEADER FILES AND NAMESPACES
 
#include<bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>  
#include <ext/pb_ds/tree_policy.hpp>  
#pragma GCC target("popcnt") 
using namespace std;
using namespace __gnu_pbds;
 
template <typename T>
using ordered_set = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
 
template <typename T>
using ordered_multiset = tree<T, null_type, less_equal<T>, rb_tree_tag, tree_order_statistics_node_update>; 
 
using cd = complex<double>;
const double PI = acos(-1);
// DEFINE STATEMENTS
const long long infty = 1e18;
#define num1 1000000007
#define num2 998244353
#define REP(i,a,n) for(ll i=a;i<n;i++)
#define REPd(i,a,n) for(ll i=a; i>=n; i--)
#define pb push_back
#define pob pop_back
#define fr first
#define sc second
#define fix(f,n) std::fixed<<std::setprecision(n)<<f
#define all(x) x.begin(), x.end()
#define M_PI 3.14159265358979323846
#define epsilon (double)(0.000000001)
#define popcount __builtin_popcountll
#define fileio(x) freopen("input.txt", "r", stdin); freopen(x, "w", stdout);
#define out(x) cout << ((x) ? "Yes\n" : "No\n")
#define sz(x) x.size()
 
 
typedef long long ll;
typedef long long unsigned int llu;
typedef vector<long long> vll;
typedef pair<long long, long long> pll;
typedef vector<pair<long long, long long>> vpll;
typedef vector<int> vii;
 
// DEBUG FUNCTIONS 
#ifndef ONLINE_JUDGE
 
template<typename T>
void __p(T a) {
    cout<<a;
}
template<typename T, typename F>
void __p(pair<T, F> a) {
    cout<<"{";
    __p(a.first);
    cout<<",";
    __p(a.second);
    cout<<"}";
}
template<typename T>
void __p(std::vector<T> a) {
    cout<<"{";
    for(auto it=a.begin(); it<a.end(); it++)
        __p(*it),cout<<",}"[it+1==a.end()];
}
template<typename T>
void __p(std::set<T> a) {
    cout<<"{";
    for(auto it=a.begin(); it!=a.end();){
        __p(*it); 
        cout<<",}"[++it==a.end()];
    }
 
}
template<typename T>
void __p(std::multiset<T> a) {
    cout<<"{";
    for(auto it=a.begin(); it!=a.end();){
        __p(*it); 
        cout<<",}"[++it==a.end()];
    }
}
template<typename T, typename F>
void __p(std::map<T,F> a) {
    cout<<"{\n";
    for(auto it=a.begin(); it!=a.end();++it)
    {
        __p(it->first);
        cout << ": ";
        __p(it->second);
        cout<<"\n";
    }
    cout << "}\n";
}
 
template<typename T, typename ...Arg>
void __p(T a1, Arg ...a) {
    __p(a1);
    __p(a...);
}
template<typename Arg1>
void __f(const char *name, Arg1 &&arg1) {
    cout<<name<<" : ";
    __p(arg1);
    cout<<endl;
}
template<typename Arg1, typename ... Args>
void __f(const char *names, Arg1 &&arg1, Args &&... args) {
    int bracket=0,i=0;
    for(;; i++)
        if(names[i]==','&&bracket==0)
            break;
        else if(names[i]=='(')
            bracket++;
        else if(names[i]==')')
            bracket--;
    const char *comma=names+i;
    cout.write(names,comma-names)<<" : ";
    __p(arg1);
    cout<<" | ";
    __f(comma+1,args...);
}
#define trace(...) cout<<"Line:"<<__LINE__<<" ", __f(#__VA_ARGS__, __VA_ARGS__)
#else
#define trace(...)
#define error(...)
#endif
 
 
void solve(){
    ll n; cin >> n;
    ll ans = 0;
    for(ll i = 1;i*i<n;i++){
        ll x = sqrt(n - i*i);
        if(x*x + i*i == n){
            ans++;
        }
    }
    cout << ans << "\n";
 
}
int main(){
    ios_base::sync_with_stdio(false);
    cin.tie(NULL);
    // cout.tie(NULL);
 
    #ifdef LOCALFLAG 
        freopen("input.txt", "r", stdin);
        freopen("output.txt", "w", stdout);
    #endif
 
    ll t = 1;
    cin >> t;
    while(t--){
        solve();
    }
}
, In this Programming Language: C++, Now tell me if this Code is compilable or not?