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 Solution {

    public static void main(String[] args) {
        try {
            BufferedReader in = new BufferedReader(new InputStreamReader(System.in));
            String[] nk = in.readLine().split(" ");
            int n = Integer.parseInt(nk[0]);
            int k = Integer.parseInt(nk[1]);
            int[] stoneArray = new int[n];
            int[] copyStoneArray = new int[n];
            String[] stonesStr = in.readLine().split(" ");
            for (int i = 0; i < n; i++) {
                stoneArray[i] = Integer.parseInt(stonesStr[i]);
                copyStoneArray[i] = stoneArray[i];
            }

            Arrays.sort(stoneArray);
            int last = stoneArray.length - 1;
            if (stoneArray[last] - stoneArray[0] > k) {
                System.out.println("NO");
                return;
            }
            System.out.println("YES");
            for (int i = 0; i < copyStoneArray.length; i++) {
                int currentHeap = copyStoneArray[i];
                StringBuilder builder = new StringBuilder();
                int color = 1;
                for (int j = 0; j < currentHeap; j++) {
                    if (j == 0) {
                        builder.append(color);
                    } else {
                        builder.append(" ").append(color);
                    }
                    color = nextColor(color, k);
                }
                System.out.println(builder.toString());
            }

        } catch (Exception e) {
            e.printStackTrace();
            // nothing
        }
    }

    private static int nextColor(int color, int colorCount) {
        int res = color + 1;
        if (res > colorCount) {
            return 1;
        } else {
            return res;
        }
    }
}