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 ≤ 10^4) — 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 ≤ 10^9) — 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
import java.io.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;
import java.util.*;
import java.util.Scanner;
import java.util.regex.Matcher;
import java.util.regex.Pattern;

public class Main {
    private static final FastReader scanner = new FastReader();
    public static void main(String[] args){
        int tt = scanner.nextInt();
        for(int i1 =0 ;i1<tt;i1++){
            int a = scanner.nextInt();int b = scanner.nextInt();int c = scanner.nextInt();int S = scanner.nextInt();
            boolean flag =false;
            if(S%c==0 && S/c<=a){
                System.out.println("YES");
            }else {
                int z = S/c;
                if(z>a){
                    z = a;
                }
                S-=z*c;
                if(b>=S){
                    System.out.println("YES");
                }else {
                    System.out.println("NO");
                }
            }
        }
    }
    private static void swap(int[] array , int a ,int b){
        if (a==b){
            return;
        }
        int temp = array[a];
        array[a] =array[b];
        array[b] =temp;
    }
    private static String revString(String str){
        StringBuilder sb = new StringBuilder(str);
        sb.reverse();
        return sb.toString();
    }
    private static int fibo(int n){
        int[] dp = new int[n];
        for(int i= 0 ;i<n;i++){
            if(i<2){
                dp[i] = 1;
            }else{
                dp[i] =dp[i-1]+dp[i-2];
            }
        }
        return dp[dp.length-1];
    }
    private static void swap(char[] array , int a,int b){
        if(a==b){
            return;
        }
        char temp = array[a];
        array[a] = array[b];
        array[b] = temp;
    }
    private static Scanner slowscanner = new Scanner(System.in);
    private static int max(int[] array ){
        int min = Integer.MIN_VALUE;
        for(int i = 0;i< array.length;i++){
            if(array[i]>min){
                min = array[i];
            }
        }
        return min;
    }
    private static int min(int[] array ){
        int min = Integer.MAX_VALUE;
        for(int i = 0;i< array.length;i++){
            if(array[i]<min){
                min = array[i];
            }
        }
        return min;
    }
    private static void readArray(int[] array){
        for(int i = 0;i< array.length;i++){
            array[i] = scanner.nextInt();
        }
    }
    private static int gcd(int a , int b){
        if(b==0) return  a;
        else return gcd(b,a%b);
    }
    private static long fact(int n){
        if(n==1 || n==0) return 1;
        else return (long) n*fact(n-1);
    }
    private static int Arraysum(int[] array){
        int sum = 0;
        for(int i = 0 ;i< array.length;i++){
            sum+=array[i];
        }
        return sum;
    }
    private static boolean isPrime(long n){
        if(n==1){
            return false;
        }
        for(long i = 2;i<=Math.sqrt(n);i++){
            if(n%i==0){
                return false;
            }
        }
        return true;
    }
    private static int multiply(int[] array){
        int mult = 1 ;
        for(int i = 0 ;i< array.length;i++) {
            mult *= array[i];
        }
        return mult;
    }
    private static int FromStringtoInt(String s){
        s = s.replaceAll("[^0-9]","");
        return Integer.parseInt(s);
    }
    static class BIT{
        static int[] BitTree = new int[1000];
        int sum(int index){
            int s =0;
//            index+=1;
            while (index>0){
                s+=BitTree[index];
                index-=(index&-index);
            }
            return s;
        }
        public static void updateBIT(int n, int index, int val) {
            index = index + 1;
            while(index <= n) {
                BitTree[index] += val;
                index += index & (-index);
            }
        }
        void constructBITree(int arr[], int n) {
            for(int i=1; i<=n; i++)
                BitTree[i] = 0;
            for(int i = 0; i < n; i++)
                updateBIT(n, i, arr[i]);
        }
    }
    static class FastReader {
        BufferedReader br;
        StringTokenizer st;

        public FastReader()
        {
            br = new BufferedReader(new
                    InputStreamReader(System.in));
        }

        String next()
        {
            while (st == null || !st.hasMoreElements())
            {
                try
                {
                    st = new StringTokenizer(br.readLine());
                }
                catch (IOException  e)
                {
                    e.printStackTrace();
                }
            }
            return st.nextToken();
        }

        int nextInt()
        {
            return Integer.parseInt(next());
        }

        long nextLong()
        {
            return Long.parseLong(next());
        }

        double nextDouble()
        {
            return Double.parseDouble(next());
        }

        String nextLine()
        {
            String str = "";
            try
            {
                str = br.readLine();
            }
            catch (IOException e)
            {
                e.printStackTrace();
            }
            return str;
        }
    }
}