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.*;
import java.io.*;
public class Main {
    public static void main(String args[]){
        //Scanner s= new Scanner(System.in);
         InputReader s= new InputReader(System.in);
         OutputStream outputStream= System.out;
         PrintWriter out= new PrintWriter(outputStream);
         int n=s.nextInt();
         int k=s.nextInt();
         int a[]=new int[n];
         for(int i=0;i<n;i++){
             a[i]=s.nextInt();
         }
         int min=Integer.MAX_VALUE;
         int max=Integer.MIN_VALUE;
         for(int i=0;i<n;i++){
             if(a[i]<min){
                 min=a[i];
             }
             if(a[i]>max){
                 max=a[i];
             }
         }
         if(max-min>k){
             out.println("NO");
         }
         else
         {
             out.println("YES");
             for(int i=0;i<n;i++){
                 for(int j=1;j<=a[i];j++){
                     int ans=j%k;
                     if(ans==0){
                         ans=k;
                     }
                     out.print(ans+" ");
                 }
                 out.println();
             }
         }
         out.close();
    }
    
    static class InputReader {
        
        public BufferedReader reader;
        public StringTokenizer tokenizer;
 
        public InputReader( InputStream inputstream) {
          reader = new BufferedReader(new InputStreamReader(inputstream));
          tokenizer = null;
        }
        
        public String nextLine(){
            String fullLine=null;
            while (tokenizer == null || !tokenizer.hasMoreTokens()) {
                try {
                  fullLine=reader.readLine();
                } catch (IOException e) {
                  throw new RuntimeException(e);
                }
                return fullLine;
              }
              return fullLine;
        }
        public String next() {
          while (tokenizer == null || !tokenizer.hasMoreTokens()) {
            try {
              tokenizer = new StringTokenizer(reader.readLine());
            } catch (IOException e) {
              throw new RuntimeException(e);
            }
          }
          return tokenizer.nextToken();
        }
        public long nextLong() {
              return Long.parseLong(next());
            }
        public int nextInt() {
          return Integer.parseInt(next());
        }
      }
}