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.io.IOException;
import java.io.InputStream;
import java.io.InputStreamReader;
import java.util.Arrays;
import java.util.StringTokenizer;


public class Main
{

    public static void main(String[] args) throws NumberFormatException, IOException {
        
        InputReader in = new InputReader(System.in);
        StringBuilder sb = new StringBuilder();
        int n = in.nextInt(), k = in.nextInt();
        
        int[] a = new int[n];
        int min = 100, max = 0;
        for(int i = 0; i < n; i++)
        {
            a[i] = in.nextInt();
            min = Math.min(min, a[i]);
            max = Math.max(max, a[i]);
        }
        
        if(max - k > min)
            sb.append("NO\n");
        else
        {
            sb.append("YES\n");
            for(int i = 0; i < n; i++)
                for(int j = 0, c = 0; j < a[i]; j++, c = (c + 1)%k)
                    sb.append(c+1).append(j == a[i] - 1?"\n":" ");
        }
        System.out.print(sb);
        
    }
    
    

}

class InputReader {
    StringTokenizer st;
    BufferedReader br;

    public InputReader(InputStream s){  br = new BufferedReader(new InputStreamReader(s));}

    public String next() throws IOException 
    {
        while (st == null || !st.hasMoreTokens()) 
            st = new StringTokenizer(br.readLine());
        return st.nextToken();
    }

    public int nextInt() throws IOException {return Integer.parseInt(next());}
    
    public String nextLine() throws IOException {return br.readLine();}

    public boolean ready() throws IOException {return br.ready();}


}