int main()
{
    int t;
    scanf("%d",&t);
    while(t--)
    {
    long long n,k,s;
    scanf("%lld%lld%lld",&n,&k,&s);
    long long x=1.0*(n+n-k+1)*k/2;
    long long y=1.0*(1+k)*k/2;
    if(x>=s&&y<=s)
        printf("Yes\n");
    else
        printf("No\n");
    }
    return 0;
}