#include <bits/stdc++.h>
using namespace std;
#define rep(i,a,b) for(int i=a;i<b;i++)
const int MXN=1e6+5;

typedef long long ll;
inline int read()
{
    int s=0,w=1;
    char ch=getchar();
    while(ch<'0'||ch>'9'){if(ch=='-')w=-1;ch=getchar();}
    while(ch>='0'&&ch<='9') s=s*10+ch-'0',ch=getchar();
    return s*w;
}
inline void write(int x)
{
    if(x<0) putchar('-'),x=-x;
    if(x>9) write(x/10);
    putchar(x%10+'0');
}
int t,n,ma,mi,av;
int main()
{
    t=read();
    while(t--){
        scanf("%d %d %d %d",&n,&ma,&mi,&av);
        if(ma<mi){
             printf("no\n");
            continue;
        }
        if(n==2){
            if(av*2==ma+mi) printf("yes\n");
            else printf("no\n");
            continue;
        }
        if(n==1){
            if(av==ma&&av==mi) printf("yes\n");
            else printf("no\n");
            continue;
        }
        int x=av*n-ma-mi;
        if(ma*(n-2)>=x&&mi*(n-2)<=x) printf("yes\n");
        else printf("no\n");
    }
    return 0;
}