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.InputStreamReader;
import java.io.IOException;
public class Acm2 {
    public static void main(String[] args) throws IOException{
        BufferedReader br=new BufferedReader(new InputStreamReader(System.in));
        String brr[]=br.readLine().trim().split(" ");
        int n=Integer.parseInt(brr[0]);
        int k=Integer.parseInt(brr[1]);
        int arr[]=new int[105];
        int crr[][]=new int[105][105];
        brr=br.readLine().trim().split(" ");
       int i,j,maxi=0,mini=101;
       for(i=0;i<n;i++)
       {
           arr[i]=Integer.parseInt(brr[i]);
           if(arr[i]>maxi)
               maxi=arr[i];
           if(arr[i]<mini)
               mini=arr[i];
       }
       int d=maxi-mini;
       int m,f;
       if(k<d)
           System.out.println("NO");
       else
       {
           for(i=0;i<n;i++)
           {
               m=0;
               j=0;
               f=arr[i];
               while(f!=0)
               {
                   crr[i][j]=m;
                   j++;
                   m=(m+1)%k;
                   f--;
               }
            }
           System.out.println("YES");
           for(i=0;i<n;i++)
           {
               for(j=0;j<arr[i];j++)
                   System.out.print((crr[i][j]+1)+" ");
               System.out.println();
           }
       }
    }
}