#include<bits/stdc++.h>
using namespace std;
int main()
{
    int t;
    double n,max,min,ave;
    scanf("%d",&t);
    while(t--)
    {
        scanf("%lf%lf%lf%lf",&n,&max,&min,&ave);
        double a=max*n,b=min*n,c=ave*n;
        double o=n*ave-max-min;
        if(max<min||ave>max||ave<min){cout<<"no"<<endl;continue;}
        if(max==min&&max==ave)cout<<"yes";
        else if(n==2&&max+min==ave*2)cout<<"yes";
        else if(n>2&&o>=min*(n-2)&&o<=max*(n-2))cout<<"yes";
        else cout<<"no";
        printf("\n");
    }
    return 0;
}