#include <bits/stdc++.h>
using namespace std;
int main() {
    int T;
    cin >> T;
    while (T--) {
        double n,mmax,mmin,ave;
        scanf("%lf%lf%lf%lf",&n,&mmax,&mmin,&ave);
        double sum = ave * n;
        int flag = 0;
        if(n == 1){
            if(mmax == mmin && mmax == ave && mmin == ave)
                flag = 1;
        }
        else if(n == 2){
            if(ave * n == mmax + mmin && mmax >= mmin)
                flag = 1;
        }
        else if(n > 2){
            double sum = ave * n;
            sum -= mmax;
            sum -= mmin;
            n -= 2;
            double temp = sum / n;
            if(mmax >= mmin && temp >= mmin && temp <= mmax)
                flag = 1;
        }
        if(flag){
            cout << "yes" << endl;
        }
        else{
            cout << "no" << endl;
        }
    }
}