Problem: There are n piles of pebbles on the table, the i-th pile contains ai pebbles. Your task is to paint each pebble using one of the k given colors so that for each color c and any two piles i and j the difference between the number of pebbles of color c in pile i and number of pebbles of color c in pile j is at most one.

In other words, let's say that bi, c is the number of pebbles of color c in the i-th pile. Then for any 1 ≤ c ≤ k, 1 ≤ i, j ≤ n the following condition must be satisfied |bi, c - bj, c| ≤ 1. It isn't necessary to use all k colors: if color c hasn't been used in pile i, then bi, c is considered to be zero.

Input

The first line of the input contains positive integers n and k (1 ≤ n, k ≤ 100), separated by a space — the number of piles and the number of colors respectively.

The second line contains n positive integers a1, a2, ..., an (1 ≤ ai ≤ 100) denoting number of pebbles in each of the piles.

Output

If there is no way to paint the pebbles satisfying the given condition, output "NO" (without quotes) .

Otherwise in the first line output "YES" (without quotes). Then n lines should follow, the i-th of them should contain ai space-separated integers. j-th (1 ≤ j ≤ ai) of these integers should be equal to the color of the j-th pebble in the i-th pile. If there are several possible answers, you may output any of them.

Examples

Input

4 4
1 2 3 4


Output

YES
1
1 4
1 2 4
1 2 3 4


Input

5 2
3 2 4 1 3


Output

NO


Input

5 4
3 2 4 3 5


Output

YES
1 2 3
1 3
1 2 3 4
1 3 4
1 1 2 3 4

Solution (in JAVA):

Solution:
import java.io.BufferedReader;
import java.lang.*;
import java.io.IOException;
import java.io.InputStreamReader;
import java.util.ArrayList;
import java.util.Arrays;
import java.util.Collections;
import java.util.HashSet;
import java.util.LinkedList;
import java.util.Scanner;
import java.util.StringTokenizer;
 
public class Practice{
	
	
	 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;
	        }
	    }
	 
	 	
	 
	    public static void main(String[] args)
	    {
	        FastReader sc = new FastReader();
	        	int n=sc.nextInt();
	        	int k=sc.nextInt();	
	        		
	        	

	        	int arr[]=new int[n];
	 	       int barr[]=new int[n];

	       for(int i=0;i<n;i++) {
	    	   arr[i]=sc.nextInt();
	    	   barr[i]=arr[i];
	       }
	       boolean right=true;
	       
	       Arrays.sort(barr);
	       if(barr[n-1]-barr[0]>k) {
	    	   right=false;
	       }
	       if(!right) {
	       System.out.println("NO");}
	       else {System.out.println("YES");
	       int color[]=new int[k+1];
	       for(int i=0;i<n;i++) {
	    	   int repeat=arr[i]/k;
	    	   for(int j=1;j<=k;j++) {
	    		   color[j]=repeat;
	    	   }
	    	   repeat=arr[i]%k;
	    	   for(int j=1;j<=repeat;j++) {
	    		   color[j]++;
	    	   }
	    	   for(int j=1;j<=k;j++) {
	    		   for(int q=1;q<=color[j];q++) {
	    			   System.out.print(j+" ");
	    		   }
	    	   }
			   System.out.println();

	       }}
	      }
}