#include<bits/stdc++.h>
using namespace std;
 
typedef long long ll;
typedef double dl;
 
#define endl "\n"
#define optimize() ios_base::sync_with_stdio(0);cin.tie(0);cout.tie(0);
#define fraction() cout.unsetf(ios::floatfield); cout.precision(10); cout.setf(ios::fixed,ios::floatfield);
 
int main()
{
    optimize();
    ll t;
    cin >> t;
    while(t--)
    {
        ll n,k,x;
        cin >> n >> k >> x;
        ll p = ((k+1)*k)/2;
        ll r = (((n+1)*n) - ((n-k)*(n-k+1)))/2;
        if(x>= p && x<=r)
        {
            cout << "YES" << endl;
        }
        else
            cout <<"NO"<<endl;
    }
 
    return 0;
}
 

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12
5 3 10
5 3 3
10 10 55
6 5 20
2 1 26
187856 87856 2609202300
200000 190000 19000000000
28 5 2004
2 2 2006
9 6 40
47202 32455 613407217
185977 145541 15770805980