#include<stdio.h>
#include<math.h>

using namespace std;

int main()
{
    int test;
    int n;
    double max, min, ave;
    scanf("%d", &test);
    while (test--)
    {
        scanf("%d", &n);
        scanf("%lf", &max);
        scanf("%lf", &min);
        scanf("%lf", &ave);
        if (max < min || max < ave || min > ave) {
            printf("no\n");
            continue;
        }
        if (n == 1) {
            if (max == min && max == ave) {
                
                printf("yes\n"); 
            }
            else {
                printf("no\n");
            }
            continue;
        }

        if (n == 2) {
            if (max + min == ave * 2) {

                printf("yes\n");
            }
            else {
                printf("no\n");
            }
            continue;
        }
        

        
        double c = (ave * n - max - min) / (n - 2);
        if (c >= min && c <= max) printf("yes\n");
        else printf("no\n");

    }
    return 0;
}