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.InputStream;
import java.io.PrintStream;
import java.util.Scanner;

public class CFS509B {

	public final static String IN_FILE = "test/CFS509B.in";
	public final static String OUT_FILE = "test/CFS509B.out";

	public static void main(String[] args) throws Exception {
		// InputStream in = new FileInputStream(IN_FILE);
		//
		// @SuppressWarnings("resource")
		// PrintStream out = new PrintStream(OUT_FILE);

		InputStream in = System.in;
		PrintStream out = System.out;

		Scanner IN = new Scanner(in);

		int n = IN.nextInt();
		int k = IN.nextInt();

		int[] A = new int[n];
		for (int i = 0; i < n; i++) {
			A[i] = IN.nextInt();
		}

		IN.close();

		int min = Integer.MAX_VALUE;
		int max = 0;
		for (int i = 0; i < n; i++) {
			min = Math.min(min, A[i]);
			max = Math.max(max, A[i]);
		}

		if (max - min > k) {
			out.println("NO");
			return;
		}

		out.println("YES");
		for (int i = 0; i < n; i++) {
			int[] X = new int[A[i]];
			int tX = 0;

			for (int j = 0; j < min; j++) {
				X[tX++] = 1;
			}

			for (int j = min; j < A[i]; j++) {
				X[tX++] = j - min + 1;
			}

			String s = "";
			for (int j = 0; j < A[i]; j++) {
				if (s.length() != 0) {
					s += " ";
				}
				s += X[j];
			}
			out.println(s);
		}
	}
}