#include <bits/stdc++.h>
using namespace std;

int T, n, mx, mn, avg;

int main() {
    scanf("%d", &T);
    while (T--) {
        scanf("%d %d %d %d", &n, &mx, &mn, &avg);
        if (mn > mx) { puts("no"); continue; }
        if (avg < mn || avg > mx) { puts("no"); continue; }
        if (n == 1) {
            if (mn == mx && mn == avg) puts("yes");
            else puts("no");
        } else if (n == 2) {
            if (mn + mx != avg * 2) puts("no");
            else puts("yes");
        } else {
            int s = avg * n - mn - mx;
            if (s >= mn * (n - 2) && s <= mx * (n - 2)) puts("yes");
            else puts("no");
        }
    }
    return 0;
}