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

int main()
{
    int t, n;
    double max, min, ave;
    double sum, temp, x;
    cin >> t;
    while (t--)
    {
        scanf("%d %lf %lf %lf", &n, &max, &min, &ave);
        if (n < 2)
        {
            cout << "no" << endl;
        }
        else if (n == 2)
        {
            sum = n * ave;
            if (max < min)
            {
                cout << "no" << endl;
            }
            else if (max + min == sum)
            {
                cout << "yes" << endl;
            }
            else
            {
                cout << "no" << endl;
            }
        }
        else
        {
            sum = n * ave;
            temp = sum - max - min;
            x = temp / (n - 2);
            if (max < min)
            {
                cout << "no" << endl;
            }
            else if (max >= x && min <= x)
            {
                cout << "yes" << endl;
            }
            else
            {
                cout << "no" << endl;
            }
        }
    }
}