#include<bits/stdc++.h>

typedef long long ll;
typedef std::pair<ll, ll> pii;
const int N = 1e6 + 10;
const int inf = 0x3f3f3f3f;
const int mod = 1e9 + 7;
const double eps = 1e-9;

int main()
{
#ifdef ONLINE_JUDGE
#else
    freopen("in.txt","r",stdin);
    freopen("out.txt","w",stdout);
#endif
    std::ios::sync_with_stdio(0);
    std::cin.tie(0);
    int t;
    std::cin >> t;
    while(t--)
    {
        int n, max, min, avg;
        std::cin >> n >> max >> min >> avg;
        bool f = false;
        if(n == 1)
        {
            if(max == min && max == avg) f = true;
        }
        if(n == 2)
        {
            if(avg * 2 == max + min) f = true;
        }
        else
        {
            if(avg * n <= max * (n - 1) + min && avg * n >= min * (n - 1) + max) f = true;
        }
        if(max < min || avg > max || avg < min) f = false;
        if(f) std::cout << "yes\n";
        else std::cout << "no\n";
    }
}