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.
import java.io.BufferedReader;
import java.io.File;
import java.io.FileNotFoundException;
import java.io.FileReader;
import java.io.IOException;
import java.io.InputStream;
import java.io.InputStreamReader;
import java.io.OutputStream;
import java.io.PrintWriter;
import java.util.ArrayList;
import java.util.Arrays;
import java.util.Collections;
import java.util.HashMap;
import java.util.List;
import java.util.Map;
import java.util.StringTokenizer;
import java.util.stream.Collectors;


public class Main {

	static class Task {
		
		int NN = 1000006;
		int MOD = 998244353;
		int INF = 2000000000;
		long INFINITY = 1000000000000000000L;
		
		public void solve(InputReader in, PrintWriter out) {
			int n = in.nextInt(), k = in.nextInt();
			List<Pair> L = new ArrayList<>();
			Map<Integer, Integer> freq = new HashMap<>();
			for(int i=0;i<n;++i) {
				L.add(new Pair(in.nextInt(), i));
				int cnt = 0;
				if(freq.containsKey(L.get(i).first)) {
					cnt= freq.get(L.get(i).first);
				}
				++cnt;
				freq.put(L.get(i).first, cnt);
				if(cnt > k) {
					out.println("NO");return;
				}
			}
			L = L.stream().sorted((i, j) -> i.first.equals(j.first)
					? i.second.compareTo(j.second)
				    : i.first.compareTo(j.first))
					.collect(Collectors.toList());
			int [] c = new int[n];
			int col = 0;
			for(int i=0;i<n;++i) {
				++col;
				if(col > k) {
					col = 1;
				}
				c[L.get(i).second] = col;
			}
			out.println("YES");
			for(int i=0;i<n;++i) {
				out.print(c[i] + " ");
			}
			out.println("");
		}
		
		class Pair {
			Integer first, second;
			public Pair() {
			}
			public Pair(int first, int second) {
				this.first = first;
				this.second = second;
			}
			@Override
			public int hashCode() {
				final int prime = 31;
				int result = 1;
				result = prime * result + getOuterType().hashCode();
				result = prime * result + first;
				result = prime * result + second;
				return result;
			}
			@Override
			public boolean equals(Object obj) {
				if (this == obj)
					return true;
				if (obj == null)
					return false;
				if (getClass() != obj.getClass())
					return false;
				Pair other = (Pair) obj;
				if (!getOuterType().equals(other.getOuterType()))
					return false;
				if (first != other.first)
					return false;
				if (second != other.second)
					return false;
				return true;
			}
			private Task getOuterType() {
				return Task.this;
			}
			
		}
		
	}
	
	static void prepareIO(boolean isFileIO) {
		Task solver = new Task();
		// Standard IO
		if(!isFileIO) {
			InputStream inputStream = System.in;
	        OutputStream outputStream = System.out;
	        InputReader in = new InputReader(inputStream);
	        PrintWriter out = new PrintWriter(outputStream);
	        solver.solve(in, out);
	        out.close();
		}
        // File IO
		else {
			String IPfilePath = System.getProperty("user.home") + "/Downloads/ip.in";
	        String OPfilePath = System.getProperty("user.home") + "/Downloads/op.out";
	        InputReader fin = new InputReader(IPfilePath);
	        PrintWriter fout = null;
	        try {
				fout = new PrintWriter(new File(OPfilePath));
			} catch (FileNotFoundException e) {
				e.printStackTrace();
			}
	        solver.solve(fin, fout);
	        fout.close();
		}
	}
	
	public static void main(String[] args) {
        prepareIO(false);
	}
	
	static class InputReader {
        public BufferedReader reader;
        public StringTokenizer tokenizer;

        public InputReader(InputStream stream) {
            reader = new BufferedReader(new InputStreamReader(stream), 32768);
            tokenizer = null;
        }
        
        public InputReader(String filePath) {
        	File file = new File(filePath);
            try {
				reader = new BufferedReader(new FileReader(file));
			} catch (FileNotFoundException e) {
				// TODO Auto-generated catch block
				e.printStackTrace();
			}
            tokenizer = null;
        }
        
        public String nextLine() {
        	String str = "";
        	try {
				str = reader.readLine();
			} catch (IOException e) {
				// TODO Auto-generated catch block
				e.printStackTrace();
			}
        	return str;
        }
        
        public String next() {
            while (tokenizer == null || !tokenizer.hasMoreTokens()) {
                try {
                    tokenizer = new StringTokenizer(reader.readLine());
                } catch (IOException e) {
                    throw new RuntimeException(e);
                }
            }
            return tokenizer.nextToken();
        }

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

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

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

}