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:
/**
 * Created by brzezinsky on 08/06/15.
 */
import java.io.*;
import java.math.BigInteger;
import java.util.*;
import java.util.stream.IntStream;

public class Solution extends Thread{
    public Solution(String inputFileName, String outputFileName) {
        try {
            if (inputFileName != null) {
                this.input = new BufferedReader(new FileReader(inputFileName));
            } else {
                this.input = new BufferedReader(new InputStreamReader(System.in));
            }
            if (outputFileName != null) {
                this.output = new PrintWriter(outputFileName);
            } else {
                this.output = new PrintWriter(System.out);
            }
            this.setPriority(Thread.MAX_PRIORITY);
        } catch (Throwable e) {
            System.err.println(e.getMessage());
            e.printStackTrace();
            System.exit(666);
        }
    }


    private void solve() throws Throwable {
        int n = nextInt(), k = nextInt();
        int []a = new int[n];
        for (int i = 0; i < n; ++i) {
            a[i] = nextInt();
        }
        int min = IntStream.of(a).min().getAsInt(), max = IntStream.of(a).max().getAsInt();
        if (max - min > k) {
            output.println("NO");
            return;
        }
        output.println("YES");
        for (int i = 0; i < n; ++i) {
            int remaining = a[i] - min;
            if (remaining == k) {
                --remaining;
            }
            for (int j = 0; j < a[i] - remaining; ++j) {
                output.print("1 ");
            }
            for (int j = 0; j < remaining; ++j) {
                output.print((j + 2) + " ");
            }
            output.println();
        }
    }

    public void run() {
        try {
            solve();
        } catch (Throwable e) {
            System.err.println(e.getMessage());
            e.printStackTrace();
            System.exit(666);
        } finally {
            output.close();
        }
    }

    public static void main(String... args) {
        new Solution(null, null).start();
    }

    private int nextInt() throws IOException {
        return Integer.parseInt(next());
    }

    private double nextDouble() throws IOException {
        return Double.parseDouble(next());
    }

    private long nextLong() throws IOException {
        return Long.parseLong(next());
    }

    private String next() throws IOException {
        while (tokens == null || !tokens.hasMoreTokens()) {
            tokens = new StringTokenizer(input.readLine());
        }
        return tokens.nextToken();
    }

    private StringTokenizer tokens;
    private BufferedReader input;
    private PrintWriter output;
}