A. Payment Without Change

You have a coins of value n and b coins of value 1. You always pay in exact change, so you want to know if there exist such x and y that if you take x (0≤x≤a) coins of value n and y (0≤y≤b) coins of value 1, then the total value of taken coins will be S.

You have to answer q independent test cases.

Input

The first line of the input contains one integer q (1≤q≤104) — the number of test cases. Then q test cases follow.

The only line of the test case contains four integers a, b, n and S (1≤a,b,n,S≤109) — the number of coins of value n, the number of coins of value 1, the value n and the required total value.

Output

For the i-th test case print the answer on it — YES (without quotes) if there exist such x and y that if you take x coins of value n and y coins of value 1, then the total value of taken coins will be S, and NO otherwise.

You may print every letter in any case you want (so, for example, the strings yEs, yes, Yes and YES will all be recognized as positive answer).

Example

input

4

1 2 3 4

1 2 3 6

5 2 6 27

3 3 5 18

output

YES

NO

NO

YES

题意

你有a个价值为n的硬币，你有b个价值为1的硬币，问你能否组成S块钱。

题解

贪心，能用a就用a对吧

代码

#include<bits/stdc++.h>

using namespace std;

void solve(){

	long long a,b,n,s;

	cin>>a>>b>>n>>s;

	long long d = s/n;

	d=min(d,a);

	if(b>=s-d*n){

		cout<<"YES"<<endl;

	}else{

		cout<<"NO"<<endl;

	}

}

int main(){

	int t;

	scanf("%d",&t);

	while(t--)solve();

}