#include<stdio.h>
#include<algorithm>
#include<iostream>
#include<string.h>
#include<math.h>
using namespace std;
int main()
{
    int T,n,min,max,avg;
    scanf("%d",&T);
    for(int i=0;i<T;i++)
    {
        scanf("%d %d %d %d",&n,&max,&min,&avg);
        int flag=0;
        if(max==min){
            if(max==avg)
            printf("yes\n");
            else 
            printf("no\n");
            continue;
        }
        if(max>=min){
            if(n==1){
                flag=max==avg&&min==avg;
            }else if(n==2){
                flag=(max+min)==avg*2;
            }else{
                int left=avg*n-max-min;
                double leftAvg=(double)left/(n-2);
                flag=leftAvg>=min+0.0&&leftAvg<=max+0.0;
            }
        }
        if(flag) printf("yes\n");
        else printf("no\n");    
    }
}