#include <iostream>
#include <cmath>
using namespace std;
const double eps = 1e-8;
int main()
{
    int t;
    scanf("%d",&t);
    while(t--)
    {
        int n;
        double Max,Min,Avg;
        scanf("%d %lf %lf %lf",&n,&Max,&Min,&Avg);
        if(Max < Min)
        {
            puts("no");
            continue;
        }
        if(n == 1)
        {
            if(fabs(Max - Min) <= eps && fabs(Max - Avg) <= eps)
            puts("yes");
            else
            puts("no");
        }
        else if(n == 2)
        {
            if(fabs((Max + Min)/2.0 - Avg) <= eps)
            puts("yes");
            else
            puts("no");
        }
        else
        {
            if(n*Avg <= (n - 1)*Max + Min && n*Avg >= Max + (n - 1)*Min)
            puts("yes");
            else
            puts("no");
        }
    }
    return 0;
}