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.util.Arrays;


public class Div2_289 {
	public static void main(String[] args)throws Exception{
		BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
		String[] in = br.readLine().split(" ");
		int piles = Integer.parseInt(in[0]);
		int colors=Integer.parseInt(in[1]);
		int[] sizes = new int[piles];
		int max=-1;
		in=br.readLine().split(" ");
		for(int i=0;i<piles;i++){
			sizes[i]=Integer.parseInt(in[i]);
			if(sizes[i]>max)
				max=sizes[i];
		}
		
		int[][] coloring = new int[piles][max];
		int[][] check = new int[piles][colors+1];
		
		int current = 1;
		for(int j=0;j<max;j++){
			for(int i=0;i<piles;i++){
				if(sizes[i]<=j)continue;
				
				coloring[i][j]=current;
				check[i][current]++;
			}
			current++;
			if(current>colors)
				current=1;
		}
		
		boolean flag=false;
		for(int i=0;i<piles;i++){
			for(int j=i+1;j<piles;j++){
				for(int k=0;k<=colors;k++){
					if(Math.abs(check[i][k]-check[j][k])>1){
						flag=true;
						break;
					}
				}
				if(flag)break;
			}
			if(flag)break;
		}
		
		if(flag)
			System.out.println("NO");
		else{
			System.out.println("YES");
			for(int i=0;i<piles;i++){
				for(int j=0;j<sizes[i]-1;j++){
					System.out.print(coloring[i][j]+" ");
				}
				System.out.println(coloring[i][sizes[i]-1]);
			}
		}
	}
}