Polycarp remembered the 2020-th year, and he is happy with the arrival of the new 2021-th year. To remember such a wonderful moment, Polycarp wants to represent the number n as the sum of a certain number of 2020 and a certain number of 2021.

For example, if: 

  * n=4041, then the number n can be represented as the sum 2020 + 2021; 
  * n=4042, then the number n can be represented as the sum 2021 + 2021; 
  * n=8081, then the number n can be represented as the sum 2020 + 2020 + 2020 + 2021; 
  * n=8079, then the number n cannot be represented as the sum of the numbers 2020 and 2021. 



Help Polycarp to find out whether the number n can be represented as the sum of a certain number of numbers 2020 and a certain number of numbers 2021.

Input

The first line contains one integer t (1 ≤ t ≤ 10^4) — the number of test cases. Then t test cases follow.

Each test case contains one integer n (1 ≤ n ≤ 10^6) — the number that Polycarp wants to represent as the sum of the numbers 2020 and 2021.

Output

For each test case, output on a separate line: 

  * "YES" if the number n is representable as the sum of a certain number of 2020 and a certain number of 2021; 
  * "NO" otherwise. 



You can output "YES" and "NO" in any case (for example, the strings yEs, yes, Yes and YES will be recognized as positive).

Example

Input


5
1
4041
4042
8081
8079


Output


NO
YES
YES
YES
NO
import java.io.BufferedReader;
import java.io.InputStreamReader;
import java.util.*;

public class  B{

    static BufferedReader br;
    static  long mod  = 1000000000+7;
    static TreeSet<Integer> p  = new TreeSet<>();
    public static void main(String[] args) throws Exception {
        br = new BufferedReader(new InputStreamReader(System.in));
        int tc = 1;
        tc = cinI();
      //  sieve();
      //  long mod  = (long) (1e9+7);

     while(tc-->0){
       int n  =cinI();
       int div = n/2020;
       int mod = n%2020;
       if(mod>div){
           System.out.println("NO");
           continue;
       }
         System.out.println("YES");
     }







                 }

    static boolean checkPrime(int n) {
        int i, m = 0, flag = 0;
        m = n / 2;
        if (n == 0 || n == 1) {
            return false;
        } else {
            for (i = 2; i <= m; i++) {
                if (n % i == 0) {

                    flag = 1;
                    return false;

                }
            }
            if (flag == 0) {
                return true;
            }
        }
        return true;
    }//end of else




























    private static long calP(HashMap<Integer, HashSet<Integer>> graph, boolean[] vis, Stack<Integer> list,
                             long[] cost, long[] dp) {
        int par = list.pop();
        HashSet<Integer> childs = graph.get(par);
        if(childs.size()==0){
            dp[par]=0;
            return dp[par];
        }
        vis[par]=true;
        for(int c: childs){
            if(vis[c]==false){
                list.add(c);
                calP(graph, vis, list, cost, dp);
            }
            if(cost[par]>cost[c]){
                dp[par]=max(dp[par], dp[c]+cost[par]-cost[c]);
            }

        }
        return dp[par];
    }

    public static int max(int[] max) {
        int maxS=0;
        int currSum=0;
        for(int i=0;i<max.length;i++){
            currSum= currSum+max[i];
            maxS=Math.max(maxS,currSum);
        }
        // System.out.println(maxS);
        return maxS;
    }

    private static int dfs(TreeMap<Integer, HashSet<Integer>> graph, boolean[] vis, Integer key, Stack<Integer> st) {
        if(st.size()==0){
            return 0;
        }
        int par= st.pop();

        HashSet<Integer> child = graph.get(par);
        vis[par]=true;
        int nodes=1;
        for(int c:child){
            if(vis[c]==false){
                st.add(c);
                nodes+=dfs(graph,vis,c,st);
            }
        }
        return nodes;
    }


    public static boolean isSorted(int[] arr){

        for(int i=0;i<arr.length-1;i++){
            if(arr[i]>arr[i+1]){
                return false;
            }
        }
        return true;
    }



    private static long gcd(long a, long b) {
        if (a == 0)
            return b;
        if (b == 0)
            return a;

        // base case
        if (a == b)
            return a;

        // a is greater
        if (a > b)
            return gcd(a%b, b);
        return gcd(a, b%a);
    }


    public static long min(long a,long b) {
        return Math.min(a,b);
    }
    public static int min(int a,int b) {
        return Math.min(a,b);
    }
























    public static void sieve(){
        int[] pf = new int[100000+1];
        //0 prime //1 not prime
        pf[0]=1;
        pf[1]=1;
        for(int j=2;j<=100000;j++){

            if(pf[j]==0 ){
                p.add(j);
                for(int k=j*j;k<pf.length;k+=j){
                    pf[k]=1;
                }
            }
        }

    }






    public  static  int[] readArray(int n,int x ,int z)throws Exception{
        int[] arr= new int[n];
        String[] ar= cinA();
        for(int i =x ;i<n+x;i++){
            arr[i]=getI(ar[i-x]);
        }
        return arr;
    }
    public  static  long[] readArray(int n,int x )throws Exception{
        long[] arr= new long[n+x];
        String[] ar= cinA();
        for(int i =x ;i<n+x;i++){
            arr[i]=getL(ar[i-x]);
        }
        return arr;
    }

    public static void arrinit(String[] a,long[] b)throws Exception{
        for(int i=0;i<a.length;i++){
            b[i]=Long.parseLong(a[i]);
        }
    }
    public  static HashSet<Integer>[]  Graph(int n,int edge,int directed)throws Exception{
        HashSet<Integer>[] tree=  new HashSet[n];

        for(int j=0;j<edge;j++){

            String[] uv = cinA();
            int u = getI(uv[0]);
            int v = getI(uv[1]);
            if(directed==0){

                tree[v].add(u);
            }
            tree[u].add(v);
        }
        return tree;
    }
    public static void arrinit(String[] a,int[] b)throws Exception{
        for(int i=0;i<a.length;i++){
            b[i]=Integer.parseInt(a[i]);
        }
    }


    static double findRoots(int a, int b, int c) {
        // If a is 0, then equation is not
        //quadratic, but linear


        int d = b * b - 4 * a * c;
        double sqrt_val = Math.sqrt(Math.abs(d));


        // System.out.println("Roots are real and different \n");

        return Math.max((double) (-b + sqrt_val) / (2 * a),
                (double) (-b - sqrt_val) / (2 * a));


    }

    public static String cin() throws Exception {
        return br.readLine();
    }

    public static String[] cinA() throws Exception {
        return br.readLine().split(" ");
    }
    public static String[] cinA(int x) throws Exception{
        return br.readLine().split("");
    }

    public static String ToString(Long x) {
        return Long.toBinaryString(x);
    }

    public static void cout(String s) {
        System.out.println(s);
    }

    public static Integer cinI() throws Exception {
        return Integer.parseInt(br.readLine());
    }

    public static int getI(String s) throws Exception {
        return Integer.parseInt(s);
    }

    public static long getL(String s) throws Exception {
        return Long.parseLong(s);
    }

    public static long max(long a, long b) {
        return Math.max(a, b);
    }
    public static int max(int a, int b) {
        return Math.max(a, b);
    }

    public static void coutI(int x) {
        System.out.println(String.valueOf(x));
    }

    public static void coutI(long x) {
        System.out.println(String.valueOf(x));
    }

    public static Long cinL() throws Exception {
        return Long.parseLong(br.readLine());
    }

    public static void arrInit(String[] arr, int[] arr1) throws Exception {
        for (int i = 0; i < arr.length; i++) {
            arr1[i] = getI(arr[i]);
        }

    }
}
