Problem: Little Vova studies programming in an elite school. Vova and his classmates are supposed to write n progress tests, for each test they will get a mark from 1 to p. Vova is very smart and he can write every test for any mark, but he doesn't want to stand out from the crowd too much. If the sum of his marks for all tests exceeds value x, then his classmates notice how smart he is and start distracting him asking to let them copy his homework. And if the median of his marks will be lower than y points (the definition of a median is given in the notes), then his mom will decide that he gets too many bad marks and forbid him to play computer games.

Vova has already wrote k tests and got marks a1, ..., ak. He doesn't want to get into the first or the second situation described above and now he needs to determine which marks he needs to get for the remaining tests. Help him do that.

Input

The first line contains 5 space-separated integers: n, k, p, x and y (1 ≤ n ≤ 999, n is odd, 0 ≤ k < n, 1 ≤ p ≤ 1000, n ≤ x ≤ n·p, 1 ≤ y ≤ p). Here n is the number of tests that Vova is planned to write, k is the number of tests he has already written, p is the maximum possible mark for a test, x is the maximum total number of points so that the classmates don't yet disturb Vova, y is the minimum median point so that mom still lets him play computer games.

The second line contains k space-separated integers: a1, ..., ak (1 ≤ ai ≤ p) — the marks that Vova got for the tests he has already written.

Output

If Vova cannot achieve the desired result, print "-1".

Otherwise, print n - k space-separated integers — the marks that Vova should get for the remaining tests. If there are multiple possible solutions, print any of them.

Examples

Input

5 3 5 18 4
3 5 4


Output

4 1


Input

5 3 5 16 4
5 5 5


Output

-1

Note

The median of sequence a1, ..., an where n is odd (in this problem n is always odd) is the element staying on (n + 1) / 2 position in the sorted list of ai.

In the first sample the sum of marks equals 3 + 5 + 4 + 4 + 1 = 17, what doesn't exceed 18, that means that Vova won't be disturbed by his classmates. And the median point of the sequence {1, 3, 4, 4, 5} equals to 4, that isn't less than 4, so his mom lets him play computer games.

Please note that you do not have to maximize the sum of marks or the median mark. Any of the answers: "4 2", "2 4", "5 1", "1 5", "4 1", "1 4" for the first test is correct.

In the second sample Vova got three '5' marks, so even if he gets two '1' marks, the sum of marks will be 17, that is more than the required value of 16. So, the answer to this test is "-1".

Solution (in JAVA):

Solution:


import java.io.*;
import java.math.BigInteger;
import java.util.*;

public class b implements Runnable {

    final boolean ONLINE_JUDGE = System.getProperty("ONLINE_JUDGE") != null;

    BufferedReader in;
    PrintWriter out;
    StringTokenizer tok = new StringTokenizer("");

    public static void main(String[] args) {
        new Thread(null, new b(), "", 128 * (1L << 20)).start();

    }

    void init() throws FileNotFoundException {
        in =new BufferedReader(new InputStreamReader(System.in));
        out = new PrintWriter(System.out);
        
     
    }

    long timeBegin, timeEnd;

    void time() {
        timeEnd = System.currentTimeMillis();
        System.err.println("Time = " + (timeEnd - timeBegin));
    }

    public void run() {
        try {
            timeBegin = System.currentTimeMillis();

            init();
            solve();

            out.close();
            //time();
        } catch (Exception e) {
            e.printStackTrace(System.err);
            System.exit(-1);
        }
    }


    String readString() throws IOException {

        while (!tok.hasMoreTokens()) {
            try {
                tok = new StringTokenizer(in.readLine());
            } catch (Exception e) {
                return null;
            }
        }
        return tok.nextToken();
    }

    String readString(String s) throws IOException {
        while (!tok.hasMoreTokens()) {
            try {
                tok = new StringTokenizer(in.readLine(), s + "\n \t");
            } catch (Exception e) {
                return null;
            }
        }
        return tok.nextToken();
    }

    double readDouble() throws IOException {
        return Double.parseDouble(readString());
    }

    int readInt() throws IOException {
        return Integer.parseInt(readString());
    }
    long readLong() throws IOException {
        return Long.parseLong(readString());
    }

    int readInt(String s) throws IOException {
        return Integer.parseInt(readString(s));
    }
    boolean isPrime(int a) throws IOException {
        int del=0;
        if(a==2){
            return false;
        }
        for(int i=2;i<Math.sqrt(a)+1;i++){
            if(a%i==0){
                del=i;
                break;
            }
        }
        if(del>0){
            return false;
        }
        else return true;
    }


    public BigInteger bigFactorial(int num) throws IOException {
        BigInteger fact = new BigInteger("1");
        BigInteger i = new BigInteger("1");
        BigInteger one = new BigInteger("1");
        for (int j=0;j<num;j++) {
            fact = fact.multiply(i);
            i=i.add(one);
//out.println(fact.toString()+" "+i.toString());
        }
//fact = fact.add(one);

        return fact;
    }

    public long factorial(int num) throws IOException{
        long res=1;
        for(int i=2;i<=num;i++){
            res*=i;
        }
        return res;
    }

    public int[] readIntArr(int n) throws IOException{
        int[] a = new int[n];
        for(int i=0;i<n;i++){
            a[i] = readInt();
        }
        return a;
    }


    public class Pair implements Comparable{
        long a1;
        long a2;

        public long getA1() {
            return a1;
        }

        public long getA2() {
            return a2;
        }

        public void setA1(int a1) {
            this.a1 = a1;
        }

        public void setA2(int a2) {
            this.a2 = a2;
        }

        public int compareTo(Object a) {
            Pair b=(Pair) a;
            if(this.a1>((Pair) a).a1){
                return 1;
            }
            if(this.a1==((Pair) a).a1)
                return 0;
            return -1;
        }
    }

    public class Triple implements Comparable{
        int a1;
        int a2;
        int a3;

        public int getA1() {
            return a1;
        }

        public void setA1(int a1) {
            this.a1 = a1;
        }

        public int getA2() {
            return a2;
        }

        public void setA2(int a2) {
            this.a2 = a2;
        }

        public int getA3() {
            return a3;
        }

        public void setA3(int a3) {
            this.a3 = a3;
        }
        public int compareTo(Object a) {
            Triple b=(Triple) a;
            if(this.a1>((Triple) a).a1){
                return 1;
            }
            if(this.a1==((Triple) a).a1)
                return 0;
            return -1;
        }
    }
   

    void solve() throws IOException{
        int n=readInt();
        int k=readInt();
        int p=readInt();// max za kontr
        int x=readInt();// sum tek
        int y=readInt();
        int[] a = new int[n];
        int sum=0;
        for(int i=0;i<k;i++){
            a[i]=readInt();
            sum+=a[i];
        }
        int dob=n-k;
        ArrayList<Integer> res = new ArrayList<Integer>();
        for(int i=k;i<n;i++){
            a[i]=y;
            sum+=a[i];
            res.add(y);
        }
        Arrays.sort(a);
        boolean flag=false;
        while(true){
            if(a[(n+1)/2-1]>=y && sum<=x){flag=true;break;}
            if(a[(n+1)/2-1]<y && sum>x){flag=false; break;}
            if(dob<=0){flag=false; break;}
            dob--;
            int index=Arrays.binarySearch(a, y);
            a[index]=1;
            sum-=y;sum++;
            Arrays.sort(a);
            int index2=res.indexOf(y);
            res.remove(index2);
            res.add(1);
            
        }
        if(flag){
            for(int r:res){
                out.println(r+" ");
            }
        }else out.print(-1);
        
        
        
        
        
        
        

            
        
       
    }


    public long fn() throws IOException{
        return 0;
    }
}