You are given an array a consisting of n integer numbers.

You have to color this array in k colors in such a way that: 

  * Each element of the array should be colored in some color; 
  * For each i from 1 to k there should be at least one element colored in the i-th color in the array; 
  * For each i from 1 to k all elements colored in the i-th color should be distinct. 



Obviously, such coloring might be impossible. In this case, print "NO". Otherwise print "YES" and any coloring (i.e. numbers c_1, c_2, ... c_n, where 1 ≤ c_i ≤ k and c_i is the color of the i-th element of the given array) satisfying the conditions above. If there are multiple answers, you can print any.

Input

The first line of the input contains two integers n and k (1 ≤ k ≤ n ≤ 5000) — the length of the array a and the number of colors, respectively.

The second line of the input contains n integers a_1, a_2, ..., a_n (1 ≤ a_i ≤ 5000) — elements of the array a.

Output

If there is no answer, print "NO". Otherwise print "YES" and any coloring (i.e. numbers c_1, c_2, ... c_n, where 1 ≤ c_i ≤ k and c_i is the color of the i-th element of the given array) satisfying the conditions described in the problem statement. If there are multiple answers, you can print any.

Examples

Input


4 2
1 2 2 3


Output


YES
1 1 2 2


Input


5 2
3 2 1 2 3


Output


YES
2 1 1 2 1


Input


5 2
2 1 1 2 1


Output


NO

Note

In the first example the answer 2~ 1~ 2~ 1 is also acceptable.

In the second example the answer 1~ 1~ 1~ 2~ 2 is also acceptable.

There exist other acceptable answers for both examples.

// LM10: The next Ballon d'Or
import java.util.*;
import java.io.*;
import java.math.*;
import static java.lang.Math.*;
public class Main
{
    static class FastReader
    {
        private InputStream mIs;private byte[] buf = new byte[1024];private int curChar,numChars;public FastReader() { this(System.in); }public FastReader(InputStream is) { mIs = is;}
        public int read() {if (numChars == -1) throw new InputMismatchException();if (curChar >= numChars) {curChar = 0;try { numChars = mIs.read(buf);} catch (IOException e) { throw new InputMismatchException();}if (numChars <= 0) return -1; }return buf[curChar++];}
        public String nextLine(){int c = read();while (isSpaceChar(c)) c = read();StringBuilder res = new StringBuilder();do {res.appendCodePoint(c);c = read();}while (!isEndOfLine(c));return res.toString() ;}
        public String next(){int c = read();while (isSpaceChar(c)) c = read();StringBuilder res = new StringBuilder();do {res.appendCodePoint(c);c = read();}while (!isSpaceChar(c));return res.toString();}
        public long l(){int c = read();while (isSpaceChar(c)) c = read();int sgn = 1;if (c == '-') { sgn = -1 ; c = read() ; }long res = 0; do{ if (c < '0' || c > '9') throw new InputMismatchException();res *= 10 ; res += c - '0' ; c = read();}while(!isSpaceChar(c));return res * sgn;}
        public int i(){int c = read() ;while (isSpaceChar(c)) c = read();int sgn = 1;if (c == '-') { sgn = -1 ; c = read() ; }int res = 0;do{if (c < '0' || c > '9') throw new InputMismatchException();res *= 10 ; res += c - '0' ; c = read() ;}while(!isSpaceChar(c));return res * sgn;}
        public double d() throws IOException {return Double.parseDouble(next()) ;}
        public boolean isSpaceChar(int c) { return c == ' ' || c == '\n' || c == '\r' || c == '\t' || c == -1; }
        public boolean isEndOfLine(int c) { return c == '\n' || c == '\r' || c == -1; }
        public void scanIntArr(int [] arr){ for(int li=0;li<arr.length;++li){ arr[li]=i();}}
        public void scanLongArr(long [] arr){for (int i=0;i<arr.length;++i){arr[i]=l();}}
        public void shuffle(int [] arr){ for(int i=arr.length;i>0;--i) { int r=(int)(Math.random()*i); int temp=arr[i-1]; arr[i-1]=arr[r]; arr[r]=temp; } }
    }
    public static void main(String[] args)throws IOException {
        /*
inputCopy
4 2
1 2 2 3
outputCopy
YES
1 1 2 2
inputCopy
5 2
3 2 1 2 3
outputCopy
YES
2 1 1 2 1
inputCopy
5 2
2 1 1 2 1
outputCopy
NO
        */
        PrintWriter pw = new PrintWriter(System.out);
        FastReader fr = new FastReader();
        int t=1;
        for(int ti=0;ti<t;++ti)
        {
            int n=fr.i();
            int k=fr.i();
            int [] arr=new int[n];
            fr.scanIntArr(arr);
            if(k>n) {
                pw.print("NO");
                pw.flush();
                pw.close();
                return;
            }
            int [] ans=new int[n];
            int [] count=new int[k+1];
            int maxK=0;
            for(int value=1;value<=5000;++value)
            {
                int k2=1;
                for(int ni=0;ni<n;++ni)
                {
                    if(arr[ni]==value)
                    {
                        ans[ni]=k2;
                        maxK=Math.max(maxK,k2);
                        if(maxK>k)
                            break;
                        ++count[k2];
                        ++k2;
                    }
                }
                if(maxK>k)
                    break;
            }
            if(maxK>k)
            {
                pw.println("NO");
            }
            else
            {
                int index=n-1;
                while(maxK<k)
                {
                    //pw.println("maxK="+maxK);
                    if(count[ans[index]]==1)
                    {
                        --index;
                        if(index<0)
                        {
                            pw.println("NO");
                            pw.close();
                            return;
                        }
                        continue;
                    }
                    ++maxK;
                    --count[ans[index]];
                    ans[index]=maxK;
                    --index;
                    if(index<0)
                    {
                        pw.println("NO");
                        pw.close();
                        return;
                    }
                }
                pw.println("YES");
                for(int ni=0;ni<n;++ni)
                {
                    pw.print(ans[ni]+" ");
                }
            }
        }

        pw.flush();
        pw.close();
    }
}