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.IOException;
import java.io.InputStreamReader;
import java.util.ArrayList;
import java.util.Arrays;

public class Main {

    public static void main(String[] args) throws IOException {
        BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
        //int n = Integer.parseInt(br.readLine());
        String[] k = br.readLine().split(" ");
        int n = Integer.parseInt(k[0]);
        int m = Integer.parseInt(k[1]);
        int[] col = new int[m];
        k = br.readLine().split(" ");
        int[] a = new int[n];
        int mn = Integer.MAX_VALUE,mx = Integer.MIN_VALUE;
        for(int i=0;i<n;i++){
            a[i] = Integer.parseInt(k[i]);
            mn = Math.min(a[i],mn);
            mx = Math.max(a[i],mx);
        }
        if(mx-mn>m){
            System.out.println("NO");
            System.exit(0);
        }
        System.out.println("YES");
        for(int i=0;i<n;i++){
            int c = 0;
            StringBuffer ans = new StringBuffer();
            for(int j=0;j<a[i];j++){
                if(c<m)
                    c++;
                else
                    c = 1;
                ans.append(String.valueOf(c)+" ");
            }
            System.out.println(ans);
           // System.out.println();
        }
    }
}