#include <iostream>
using namespace std;
int main()
{
    int t;
    cin>>t;
    while(t--)
    {
        int n;
        int a,b,c;
        cin>>n>>a>>b>>c;
        if(n==1)
        {
            if(a==b&&b==c)
            {
                cout<<"yes"<<endl;
            }
            else
            {
                cout<<"no"<<endl;
            }
        }
        else
        {
            if(a>=c&&b<=c)
            {
                if(n==2)
                {
                    if((a+b)/2!=c||(a+b)%2!=0)
                    {
                        cout<<"no"<<endl;
                    }
                    else
                    {
                        cout<<"yes"<<endl;
                    }
                }
                else
                {
                    if(a==c)
                    {
                        if(b==c)
                        {
                            cout<<"yes"<<endl;
                        }
                        else
                        {
                            cout<<"no"<<endl;
                        }
                    }
                    else if(b==c)
                    {
                        if(a==c)
                        {
                            cout<<"yes"<<endl;
                        }
                        else
                        {
                            cout<<"no"<<endl;
                        }
                    }
                    else
                    {
                        if((c*n-a-b)<=(n-2)*a&&(c*n-a-b)>=(n-2)*b)
                        {
                            cout<<"yes"<<endl;
                        }
                        else
                        {
                            cout<<"no"<<endl;
                        }
                    }
                }
            }
            else
            {
                cout<<"no"<<endl;
            }
        }
    }
    return 0;
}