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 static java.lang.System.in;
 
import java.io.IOException;
 
import java.util.*;
 
 
 
public class Main
{//static{ System.out.println("hello");}
    static byte[] buffer = new byte[8192];
    static int offset = 0;
    static int bufferSize = 0;
    static void print(char a[])
    {for (int i=0;i<a.length ;i++)
        {
         System.out.print(a[i]+"");   
           }   
   }   
 
        public static void main(String[] args) throws IOException
       {   Scanner scn=new Scanner(System.in);
          int n=readInt();
          int k=readInt();
          int a[]=new int[n];
           int max=-1;
               int min=Integer.MAX_VALUE;
           for(int i=0;i<n;i++) 
           {  a[i]=readInt();
              
              if (a[i]>max) {max=a[i];  }
              if (a[i]<min) { min=a[i]; }
           }
           if (max-min>k) { System.out.println("NO"); System.exit(0); }
            System.out.println("YES");
           for (int i=0;i<n;i++)
           {  int j;
               for ( j=1;j<=Math.min(min+1,a[i]);j++) System.out.print(1+" ");
               for (int l=j ;l<=Math.min(a[i],max);l++)    System.out.print((l-j+2)+" ");
               System.out.println();
           
            }
        }     
   static int readInt() throws IOException{
        int number = 0;
        if(offset==bufferSize){
            offset = 0;
            bufferSize = in.read(buffer);
        }
        for(;buffer[offset]<0x30; ++offset)
            if(offset==bufferSize-1){
                offset=-1;
                bufferSize = in.read(buffer);
            }
        for(;offset<bufferSize && buffer[offset]>0x2f;++offset){
            number = number*0x0a+buffer[offset]-0x30;
            if(offset==bufferSize-1){
                offset = -1;
                bufferSize = in.read(buffer);
            }
        }
        ++offset;
        return number;
    }
                    
         
}