#include <bits/stdc++.h>
using namespace std;
int T;
int n, maxx, minn, avg;
bool solve() {
    scanf("%d%d%d%d", &n, &maxx, &minn, &avg);
    if (maxx < minn || maxx < avg || minn > avg) return false;
    if (n == 1) {
        if (maxx == minn && minn == avg) return true;
        return false;
    }
    if (n == 2) {
        if (maxx == minn && minn == avg) return true;
        if (maxx > avg && avg > minn && avg * 2 == maxx + minn) return true;
        return false;
    }
    if (maxx == minn) {
        if (avg == minn) return true;
        return false;
    }
    if (avg >= maxx || avg <= minn) return false;
    if ((n * avg - maxx - minn) > maxx * (n - 2) ||
        (n * avg - maxx - minn) < minn * (n - 2))
        return false;
    return true;
}
int main() {
    scanf("%d", &T);
    while (T--) {
        if (solve()) {
            printf("yes\n");
        } else {
            printf("no\n");
        }
    }
    return 0;
}