#include<iostream> 
#include<math.h>
#include<string.h>
using namespace std;
int main()
{long long test,n,max,min,ave,x1;
long long x2,x3;
cin>>test;
for(x1=0;x1<test;x1++)
{cin>>n>>max>>min>>ave;
if(max>=min&&max>=ave&&min<=ave)
{
if(n==1)
{if(max==min&&max==ave)
cout<<"yes"<<endl;
else cout<<"no"<<endl;
}    
else if(n>2)
{x2=(max+(n-1)*min);
x3=(max*(n-1)+min);
if(x2<=ave*n&&x3>=ave*n)    
cout<<"yes"<<endl;
else
cout<<"no"<<endl;
}
else 
{if(max+min==2*ave)
cout<<"yes"<<endl;
else cout<<"no"<<endl;
}        
}
else cout<<"no"<<endl;
}    
return 0;        
}