#include<bits/stdc++.h>
using namespace std;
const int maxn =2e6+5;
const int mod=1e9+7;

#define ll long long
#define IOS ios::sync_with_stdio(false),cin.tie(0)

int main(){
    IOS;
    int t;
    cin>>t;
    while(t--){
        int n,ma,mi,av;
        cin>>n>>ma>>mi>>av;
        if(n==2){
            if(ma>=mi&&ma+mi==2*av){
                cout<<"yes\n";
            }
            else
                cout<<"no\n";
        }
        else if(n==1){
            if(ma==mi&&mi==av){
                cout<<"yes\n";
            }
            else
                cout<<"no\n";
        }
        else{
            if(n*av>=(n-2)*mi+ma+mi&&(n-2)*ma+ma+mi>=n*av)
                cout<<"yes\n";
            else
                cout<<"no\n";
        }
    }
    return 0;
}