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
{
    //static Scanner in = new Scanner(System.in);
    //static PrintWriter out = new PrintWriter(System.out);
    //Scanner scanner = new Scanner(new BufferedReader(new FileReader("input.txt")));
    //PrintWriter out = new PrintWriter(new FileWriter("output.txt"));
    static StreamTokenizer in = new StreamTokenizer(new BufferedReader(new InputStreamReader(System.in)));
    static PrintWriter out = new PrintWriter(new OutputStreamWriter(System.out));
    static int nextInt() throws IOException
    {
        in.nextToken();
        return (int) in.nval;
    }
    static double nextDouble() throws IOException
    {
        in.nextToken();
        return (double) in.nval;
    }
    public static void main(String[] args) throws IOException
    {
        int n = nextInt();
        int k = nextInt();
        int[] a = new int[n];
        a[0] = nextInt();
        int Min = a[0], Max = a[0];
        for(int i = 1; i < n; i++)
        {
            a[i] = nextInt();
            if(a[i] > Max)
                Max = a[i];
            if(a[i] < Min)
                Min = a[i];
        }
        int z = 1;
        if((Max - Min) <= k)
        {
            out.println("YES");
            for(int i = 0; i < n; i++)
            {
                z = 1;
                for(int j = 0; j < a[i]; j++)
                {
                    if(z == k + 1)
                        z = 1;
                    if(j == a[i] - 1)
                        out.println(z);
                    else
                        out.print(z + " ");
                    z++;
                }
            }
        }
        else
            out.println("NO");
        
        
        out.flush();
    }
}
/*
4 4
1 2 3 4
YES
1
1 4
1 2 4
1 2 3 4

5 2
3 2 4 1 3
NO

5 4
3 2 4 3 5
YES
1 2 3
1 3
1 2 3 4
1 3 4
1 1 2 3 4
*/