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.util.Arrays;
import java.util.Scanner;
import java.util.Vector;

/*
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 * To change this template file, choose Tools | Templates
 * and open the template in the editor.
 */
/**
 *
 * @author KHALED
 */
public class PaintingPebbles {
    public static void main(String[] args) {
        Scanner scan=new Scanner(System.in);
        int n=scan.nextInt();
        int k=scan.nextInt();
        int[]arr=new int[n];
        int min=Integer.MAX_VALUE;
        int max=Integer.MIN_VALUE;
        for (int i = 0; i < n; i++) 
        {
            arr[i]=scan.nextInt();
            if(arr[i]>max)
                max=arr[i];
            if(arr[i]<min)
                min=arr[i];
        }
        if(max-min>k)
        {
            System.out.println("NO");
            return;
        }
        else
        {
            System.out.println("YES");
            for (int i = 0; i < arr.length; i++) 
            {
                int color=1;            
                for (int j = 0; j < min; j++) 
                {
                    System.out.print(color+" ");
                }
//                color++;
                for (int j = min; j < arr[i]; j++) 
                {
                    System.out.print(color+" ");
                    color++;
                }
                System.out.println("");
            }
            
//            for (int i = 0; i < arr[0]; i++) 
//            {
//                vec.add(color);
//            }
//            for (int i = 0; i < vec.size(); i++) 
//            {
//                System.out.print(vec.get(i)+" ");
//            }
//            System.out.println("");
//            if(arr.length>1)
//            {
//                for (int i = 1; i < arr.length; i++) 
//                {
//                    if(arr[i]>vec.size())
//                        color++;
//                    for (int j = 0; j < arr[i]-vec.size(); j++) 
//                    {
//                        vec.add(color);
//                    }
//                    //System.out.println(arr[i]+"  "+vec.size());                    
////                    for (int j = 0; j < vec.size(); j++) 
////                    {
////                        System.out.print(vec.get(j)+" ");
////                    }
////                    System.out.println("");
//                }
//            }
        }
    }
}