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.IOException;
import java.io.BufferedReader;
import java.io.InputStreamReader;
import java.util.Arrays;
public class Main{
	public static void main(String[]args)throws IOException{
		BufferedReader bf=new BufferedReader(new InputStreamReader(System.in));
		String s=bf.readLine();
		String[]sa=s.split(" ");
		int n=Integer.parseInt(sa[0]);
		int m=Integer.parseInt(sa[1]);
		s=bf.readLine();
		sa=s.split(" ");
		int[]a=new int[n];
		int min=100;
		for(int i=0;i<n;i++){
			a[i]=Integer.parseInt(sa[i]);
			if(a[i]<min)
				min=a[i];
		}
		int[][]r=new int[n][];
		int v=1;
		boolean flag=true;
		for(int i=0;i<n && flag;i++){
			v=1;
			r[i]=new int[a[i]];
			for(int j=0;j<a[i] && flag;j++){
				if(j>min)
					v++;
				if(v>m)
					flag=false;
				r[i][j]=v;
			}
		}
		if(!flag)
			System.out.println("NO");
		else{
			System.out.println("YES");
			for(int i=0;i<n;i++){
				int x=r[i].length;
				for(int j=0;j<x;j++){
					if(j<x-1)
						System.out.print(r[i][j]+" ");
					else
						System.out.println(r[i][j]);
				}
			}
		}
	}
}