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.*;
import java.util.*;
public class cdf289b 
{
	public static void main(String args[])throws Exception
	{
		BufferedReader br=new BufferedReader(new InputStreamReader(System.in));
		String s=br.readLine();
		String ss[]=s.split(" ");
		int n=Integer.parseInt(ss[0]);
		int c=Integer.parseInt(ss[1]);
		int arr[]=new int[n];
		int arr2[]=new int[n];
		s=br.readLine();
		String ss1[]=s.split(" ");
		for(int i=0;i<n;i++)
		{
			arr[i]=Integer.parseInt(ss1[i]);
			arr2[i]=Integer.parseInt(ss1[i]);
		}
		Arrays.sort(arr2);
		if(arr2[n-1]-arr2[0]>c)
		{
			System.out.println("NO");
			return;
		}
		System.out.println("YES");
		for(int i=0;i<n;i++)
		{
			int x=1;
			while(arr[i]!=0)
			{
				System.out.print(x+" ");
				if(x==c)
					x=0;
				x++;
				arr[i]--;
			}
			System.out.println();
		}
	}
}