#include <bits/stdc++.h>
using namespace std;
int t;
int n, ma, mi, av;
int main() {
    scanf("%d", &t);
    for(int i = 0; i < t; i++) {
        scanf("%d %d %d %d", &n, &ma, &mi, &av);
        double sum = n * av;
        if (mi > ma) {
            cout << "no" << endl;
            continue;
        }
        if (n == 1) {
            if (ma == mi && mi == av) {
                cout << "yes" << endl;
            } else {
                cout << "no" << endl;
            }
        } else if (n == 2) {
            if (ma + mi == av * 2) {
                cout << "yes" << endl;
            } else {
                cout << "no" << endl;
            }
        } else {
            sum -= ma;
            sum -= mi;
            if (sum / (n - 2) >= mi && sum / (n - 2) <= ma) {
                cout << "yes" << endl;
            } else {
                cout << "no" << endl;
            }
        }
    }
    return 0;
}