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.Scanner;

public class Painting_Pebbles {

	public static void main(String[] args) {
		// TODO Auto-generated method stub
		Scanner s = new Scanner(System.in);
		int n = s.nextInt();
		int k = s.nextInt();
		int a[] = new int[n];
		int color[] = new int[k + 1];
		int max = Integer.MIN_VALUE;
		int min = Integer.MAX_VALUE;
		for (int i = 0; i < n; i++) {
			a[i] = s.nextInt();
			if (a[i] > max) {
				max = a[i];
			}
			if (a[i] < min) {
				min = a[i];
			}
		}
		if (max - min > k) {
			System.out.println("NO");
			return;
		} else {
			System.out.println("YES");
			for (int i = 0; i < n; i++) {
				int value = a[i];
				int count = 1;
				for (int j = 1; j <= a[i]; j++) {
					if (j <= min) {
						System.out.print(1 + " ");
						count = 1;
						continue;
					}

					if (count <= k) {
						System.out.print(count + " ");
						count++;
					}

				}
				System.out.println();

			}
		}

	}

}