#include <bits/stdc++.h>
#define For(i,l,r) for (register int i=l; i<=r; i++)
using namespace std;
typedef unsigned long long LL;
typedef signed long long ll;
template <typename T>
inline void read(T &x) {
    char c = getchar(); int w = 1; x = 0;
    while (!isdigit(c))
        (c == '-') && (w = -w), c = getchar();
    while (isdigit(c))
        x = (x << 1) + (x << 3) + (c ^ '0'), c = getchar();
    x *= w;
}


int T;
ll n, Max, Min, ave;
signed main() {
    read(T);
    while (T -- > 0) {
        read(n); read(Max); read(Min); read(ave);
        if (Min > Max) {
            puts("no"); continue;
        }
        if (Min == Max) {
            if (Min == ave) puts("yes");
            else puts("no");
            continue;
        }
        if (n == 1) {
            if (Max == Min && Min == ave) puts("yes");
            else puts("no");
        }
        else if (n == 2) {
            if ((Max + Min) % 2 == 0 && (Max + Min) / 2 == ave) puts("yes");
            else puts("no");
        }
        else {
            ll s = ave * n - Min - Max;
            if (Min * (n-2) <= s && s <= Max * (n-2)) puts("yes");
            else puts("no");
        }
    }
    getchar();
    return 0;
}