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.*;
import java.util.*;

public class Main {
    public static void main(String[] args) {
        Scanner s = new Scanner(System.in);
        int n = s.nextInt(), k = s.nextInt();
        int[] a = new int[N], b = new int[N];
        int[][] c = new int[N][N];
        for (int i = 0; i < n; i++) {
            a[i] = s.nextInt();
        }
        for (int ci = 1; ci <= k ; ci++) {
            int loc = 0;
            for (int i = 1; i < n; i++) {
                if (a[i] < a[loc]) {
                    loc = i;
                }
            }
            int min = a[loc];
            for (int i = 0; i < n; i++) {
                int cnt = min;
                if (a[i] > min) {
                    cnt++;
                }
                for (int j = 0; j < cnt; j++) {
                    c[i][j + b[i]] = ci;
                }
                b[i] += cnt;
                a[i] -= cnt;
            }
        }
        boolean flag = true;
        for (int i = 0; i < n; i++) {
            if (a[i] != 0) {
                flag = false;
            }
        }
        if (flag) {
            System.out.println("YES");
            for (int i = 0; i < n; i++) {
                StringBuilder sb = new StringBuilder();
                for (int j = 0; j < b[i]; j++) {
                    if (j != 0) {
                        sb.append(' ');
                    }
                    sb.append(c[i][j]);
                }
                System.out.println(sb);
            }
        } else {
            System.out.println("NO");
        }
    }

    private static final int N = 100;
}