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.List;
import java.util.SortedSet;
import java.util.TreeSet;

public class Pebbles {
	
	public static void main(String[] args) {
		BufferedReader scanner = new BufferedReader(new InputStreamReader(System.in));
		List<int[]> piles = new ArrayList<int[]>();
		int numColors;
		String line;
		String[] pileCounts;
		
		try {
			line = scanner.readLine();
			numColors = Integer.parseInt(line.split(" ")[1]);
			line = scanner.readLine();
			pileCounts = line.split(" ");
			
			int currentSmallestPile = Integer.MAX_VALUE;
			int largestPileSize = 0;
			for (String s: pileCounts) {
				int[] pileObject = new int[Integer.parseInt(s)]; 
				//System.out.println(pileObject.length);
				if (pileObject.length < currentSmallestPile) {
					currentSmallestPile = pileObject.length;
				}
				if (pileObject.length > largestPileSize) {
					largestPileSize = pileObject.length;
				}
				piles.add(pileObject);
			}
				
			if (((largestPileSize - currentSmallestPile)) > numColors) {
				System.out.println("NO");
				return;
			}
			
			for (int[] arr: piles) {
				for (int i = 0; i < currentSmallestPile; i++) {
					arr[i] = 1;
				}
			}
			int currentlyFilled = currentSmallestPile++;
			for (int i = 1; i <= numColors; i++) {
				for (int[] array: piles) {
					if (currentlyFilled < array.length) {
						for (int j = currentlyFilled; j < currentSmallestPile; j++) {
							array[j] = i;
						}
					}	
				}
				currentlyFilled = currentSmallestPile++;
			}
			
			System.out.println("YES");
			for (int[] arr: piles) {
				String outputLine = "";
				for (int i: arr) {
					outputLine += (i + " ");
				}
				outputLine = outputLine.trim();
				System.out.println(outputLine);
			}	
		} catch (IOException e) {
			// TODO Auto-generated catch block
			e.printStackTrace();
		}
		
	}
}