#include<iostream>
#include<algorithm>
#include<math.h>
using namespace std;
typedef long long int ll;
int main()
{
    int T;
    int a,b,c,d;
    cin>>T;
    while(T--)
    {
        cin>>a>>b>>c>>d;
        if(b<c||b<d||c>d)
        {
            printf("no\n");
        }
        else if(b==c&&c==d)
        {
           printf("yes\n");
        }
        else if(a==2)
        {
            if(d*2==(b+c))
            {
                printf("yes\n");
            }
            else
            {
                printf("no\n");
            }
        }
        else
        {
            if((a-2)*c<=(a*d-(b+c))&&(a*d-(b+c))<=(a-2)*b)
            {
                printf("yes\n");
            }
            else
            {
                printf("no\n");
            }
        }
}
    return 0;
}