#include"stdio.h"
#include"string.h"
#include"math.h"
main()
{
    int test,n,max,min,ave,i;
    long double a,pd;
    char *an[100000];
    scanf("%d",&test);
    for(i=0;i<test;i++)
    {
        scanf("%d%d%d%d",&n,&max,&min,&ave);
        if(max<min)
            an[i]="no";
        else if(n==1)
            if(max==min&&max==ave)
                an[i]="yes";
            else
                an[i]="no";
        else if(n==2)
            if(2*ave==max+min)
                an[i]="yes";
            else
                an[i]="no";
        else
        {
            pd=n*ave-max-min;
            a=pd/(n-2);
            if(a>=min&&a<=max)
                an[i]="yes";
            else
                an[i]="no";
        }
    }
    for(i=0;i<test;i++)
    {
        printf("%s\n",an[i]);
    }
}