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.FileNotFoundException;
import java.io.InputStreamReader;
import java.io.OutputStream;
import java.io.PrintWriter;
import java.util.ArrayList;
import java.io.IOException;
import java.io.InputStream;
import java.util.StringTokenizer;



public class Main {
    
    public static void main(String args[])throws IOException{
        PrintWriter out = new PrintWriter(System.out,true);
        Scanner in = new Scanner();  
        int n=in.nextInt();
        int k=in.nextInt();
        int[] a=new int[n];
        int max=0;
        int min=Integer.MAX_VALUE;
        for(int i=0;i<n;i++){
            a[i]=in.nextInt();
            if(a[i]>max)
                max=a[i];
            if(a[i]<min)
                min=a[i];
        }
        
            if(Math.abs(max-min)>k){
                System.out.println("NO");
                return;
            }
        
        
        System.out.println("YES");
        for(int i=0;i<n;i++){
            int t=1;
            for(int j=0;j<a[i];j++){
                System.out.print(t+" ");
                t++;
                if(t>k)
                    t=1;
            }
            System.out.println();
        }
    }
    
     
    
    
        static class Scanner {

            BufferedReader br;
            StringTokenizer st;

            public Scanner() throws FileNotFoundException {
                // System.setOut(new PrintStream(new BufferedOutputStream(System.out), true));
                br = new BufferedReader(new InputStreamReader(System.in));
                //  br = new BufferedReader(new InputStreamReader(new FileInputStream(new File("input.txt"))));
            }

            public String next() {

                while (st == null || !st.hasMoreTokens()) {
                    try {
                        st = new StringTokenizer(br.readLine());
                    } catch (Exception e) {
                        throw new RuntimeException();
                    }
                }
                return st.nextToken();
            }

            public long nextLong() {
                return Long.parseLong(next());
            }

            public int nextInt() {
                return Integer.parseInt(next());
            }

            public double nextDouble() {
                return Double.parseDouble(next());
            }

            public String nextLine() {
                st = null;
                try {
                    return br.readLine();
                } catch (Exception e) {
                    throw new RuntimeException();
                }
            }

            public boolean endLine() {
                try {
                    String next = br.readLine();
                    while (next != null && next.trim().isEmpty()) {
                        next = br.readLine();
                    }
                    if (next == null) {
                        return true;
                    }
                    st = new StringTokenizer(next);
                    return st.hasMoreTokens();
                } catch (Exception e) {
                    throw new RuntimeException();
                }
            }
        }

}