#include<bits/stdc++.h>
using namespace std;
using ll = long long;
using PII = pair<int, int>;
const int N = 1e5 + 5, mod = 1e9 + 7;
int T, n, ma, mi, ave;
int main() {
    ios::sync_with_stdio(false),cin.tie(0),cout.tie(0);
    cin >> T;
    while(T--) {
        cin >> n >> ma >> mi >> ave;
        int sum = n * ave;
        bool tag = false;
        if(n == 1) {
            if(ma == mi && ma == ave) tag = true;
        } else if(n == 2) {
            if(ma >= mi && sum == ma + mi) tag = true;
        } else {
            int x = sum - ma - mi;
            double y = 1.0 * x / (n - 2);
            if(ma >= mi && y >= mi && y <= ma) tag = true;
        }
        if(tag) cout << "yes\n";
        else cout << "no\n";
    }
    return 0;
}