// Skyqwq
#include <bits/stdc++.h>

#define pb push_back
#define fi first
#define se second
#define mp make_pair

using namespace std;

typedef long long LL;

template <typename T> void chkMax(T &x, T y) { if (y > x) x = y; }
template <typename T> void chkMin(T &x, T y) { if (y < x) x = y; }

template <typename T> void inline read(T &x) {
    int f = 1; x = 0; char s = getchar();
    while (s < '0' || s > '9') { if (s == '-') f = -1; s = getchar(); }
    while (s <= '9' && s >= '0') x = x * 10 + (s ^ 48), s = getchar();
    x *= f;
}

int n, mx, mn, avg;
 
int main() {
    int T; read(T);
    while (T--) {
        read(n), read(mx), read(mn), read(avg);
        if (mn > mx) {
            puts("no");
            continue;
        }
        if (n == 1) {
            puts(mx == mn && mn == avg ? "yes" : "no");
            continue;
        }
        if (n == 2) {
            puts(mx + mn == avg * 2 ? "yes" : "no");
            continue;
        }
        double v = (avg * n - mx - mn) / (n - 2.0);
        puts(mn <= v && v <= mx ? "yes" : "no");
    }    
    return 0;
}