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.Closeable;
import java.io.IOException;
import java.io.InputStream;
import java.io.InputStreamReader;
import java.io.PrintWriter;
import java.util.ArrayList;
import java.util.List;
import java.util.StringTokenizer;

public class PaintingPebbles implements Closeable {

    private InputReader in = new InputReader(System.in);
    private PrintWriter out = new PrintWriter(System.out);

    public void solve() {
        int n = in.ni(), k = in.ni(), max = 0, min = 101;
        int[] x = new int[n];
        for (int i = 0; i < n; i++) {
            x[i] = in.ni();
            max = Math.max(x[i], max);
            min = Math.min(x[i], min);
        }
        if (max - min > k) {
            out.println("NO");
            return;
        }
        List<List<Integer>> result = new ArrayList<>();
        for (int i = 0; i < n; i++) result.add(new ArrayList<>());
        int nextColor = 1;
        for (int i = 0; i < min; i++) {
            for (List<Integer> list : result) {
                list.add(nextColor);
            }
            nextColor++;
            if (nextColor > k) nextColor = 1;
        }
        for (int i = 0; i < n; i++) {
            List<Integer> list = result.get(i);
            if (list.size() < x[i]) {
                nextColor = 1;
                int diff = x[i] - list.size();
                for (int j = 0; j < diff; j++) {
                    list.add(nextColor++);
                    if (nextColor == k + 1) nextColor = 1;
                }
            }
        }
        out.println("YES");
        for (List<Integer> list : result) {
            for (Integer value : list) {
                out.print(value);
                out.print(' ');
            }
            out.println();
        }
    }

    @Override
    public void close() throws IOException {
        in.close();
        out.close();
    }

    static class InputReader {
        public BufferedReader reader;
        public StringTokenizer tokenizer;

        public InputReader(InputStream stream) {
            reader = new BufferedReader(new InputStreamReader(stream), 32768);
            tokenizer = null;
        }

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

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

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

        public void close() throws IOException {
            reader.close();
        }
    }

    public static void main(String[] args) throws IOException {
        try (PaintingPebbles instance = new PaintingPebbles()) {
            instance.solve();
        }
    }
}