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.ArrayList;
import java.util.Arrays;
import java.util.List;
import java.util.StringTokenizer;

public class Solution {

    public static void main(String[] args) throws FileNotFoundException {
        InputStream inputStream = System.in;
        OutputStream outputStream = System.out;
//        InputStream inputStream = new FileInputStream("/Users/roman/Downloads/new_years_resolution_example_input.txt");
//        OutputStream outputStream = new FileOutputStream(new File("/Users/roman/Downloads/new_years_resolution_example_output.txt"));
        InputReader in = new InputReader(inputStream);
        PrintWriter out = new PrintWriter(outputStream);

        int n = in.nextInt();
        int colors = in.nextInt();

        int[] piles = in.nextIntArr(n);

        int max = 0;
        for (int i = 0; i < piles.length; i++) {
            max = Math.max(max, piles[i]);
        }

        int cur = 1;
        while (cur <= max) {
            boolean ok = true;

            for (int i = 0; i < piles.length; i++) {
                if (piles[i] < cur) {
                    ok = false;
                }
            }

            if (!ok) {
                break;
            } else {
                cur++;
            }
        }

        if (max - cur > colors - 1) {
            out.println("NO");
        } else {
            out.println("YES");
            for (int i = 0; i < piles.length; i++) {
                int tempCur = cur;
                int color = 1;

                for (int j = 0; j < piles[i]; j++) {
                    if (tempCur > 0) {
                        out.print(1 + " ");
                    } else {
                        color++;
                        out.print(color + " ");
                    }
                    tempCur--;
                }
                out.println();
            }
        }

        out.close();
    }

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

        public InputReader(InputStream stream) {
            reader = new BufferedReader(new InputStreamReader(stream));
            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 nextInt() {
            return Integer.parseInt(next());
        }

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

        public int[] nextIntArr(int n) {
            int[] arr = new int[n];
            for (int j = 0; j < arr.length; j++) {
                arr[j] = nextInt();
            }

            return arr;
        }

        public long[] nextLongArr(int n) {
            long[] arr = new long[n];
            for (int j = 0; j < arr.length; j++) {
                arr[j] = nextLong();
            }

            return arr;
        }
    }
}