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.InputStreamReader;
import java.io.BufferedReader;
import java.io.IOException; 
import java.lang.reflect.Array;
import java.util.ArrayList;
import java.util.Arrays;
import java.util.HashMap;
import java.util.HashSet;
import java.util.Iterator;
import java.util.List;
import java.util.Map;
import java.util.Set;
import java.util.TreeMap;
 
 
 
    public class Codeforces {
       
       
       
        public static void main(String[] args) throws IOException {
        BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
        String[] nk = br.readLine().trim().split(" ");
        int n = Integer.parseInt(nk[0]);
        int k = Integer.parseInt(nk[1]);
        String[] s = br.readLine().trim().split(" ");
        int[] arr = new int[n];
        int min = Integer.MAX_VALUE;
        int max = Integer.MIN_VALUE;
        for(int i = 0;i < n; i++){
            arr[i] = Integer.parseInt(s[i]);
            min = Math.min(min, arr[i]);
            max = Math.max(max, arr[i]);
        }
        if(max - min - k <= 0){
            System.out.println("YES");
        
        for(int i = 0; i < n; i++){
            int temp = 1;
            for(int j = 0; j < arr[i]; j++){
                if(j <= min){
                    System.out.print(temp +" ");
                }
                else{
                    temp++;
                    System.out.print(temp +" ");
                }
                
            }
            System.out.println();
        }
        }
        else System.out.println("NO");
            
        }
        
        
       }