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 {
    private static PrintWriter out;
    private static FastReader in;

    private static class FastReader {
        public BufferedReader reader;
        public StringTokenizer tokenizer;

        public FastReader(InputStream inputStream) {
            reader = new BufferedReader(
                    new InputStreamReader(inputStream), 1 << 16);
            tokenizer = null;
        }

        public String next() {
            while (tokenizer == null || !tokenizer.hasMoreTokens()) {
                try {
                    tokenizer = new StringTokenizer(reader.readLine());
                }
                catch (IOException ex) {
                    throw new RuntimeException(ex);
                }
            }
            return tokenizer.nextToken();
        }

        public String nextLine() {
            try {
                return reader.readLine();
            }
            catch (IOException ex) {
                throw new RuntimeException(ex);
            }
        }

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

    }

    public static void main(String[] args) throws FileNotFoundException {
        in = new FastReader(System.in);
        out = new PrintWriter(System.out);

        int n = in.nextInt(), k = in.nextInt();
        int[] A = new int[n];
        int maxIndex = -1, maxValue = -1;
        for (int i = 0; i < n; ++i) {
            A[i] = in.nextInt();
            if (A[i] > maxValue) {
                maxIndex = i;
                maxValue = A[i];
            }
        }
        boolean isPossible = true;
        for (int i = 0; i < n; ++i) {
            for (int j = 0; j < n; ++j) {
                if (Math.abs(A[i] - A[j]) > k) {
                    isPossible = false;
                    break;
                }
            }
        }
        if (isPossible) {
            int[] result = new int[maxValue];
            for (int i = 0; i < maxValue; ++i) {
                result[i] = 1 + (i % k);
            }
            out.println("YES");
            for (int i = 0; i < n; ++i) {
                for (int j = 0; j < A[i]; ++j) {
                    out.print(result[j] + " ");
                }
                out.println();
            }

        }
        else {
            out.println("NO");
        }

        out.flush();
    }
}