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.OutputStreamWriter;
import java.io.BufferedWriter;
import java.util.Comparator;
import java.io.OutputStream;
import java.io.PrintWriter;
import java.io.Writer;
import java.io.IOException;
import java.util.Arrays;
import java.util.InputMismatchException;
import java.util.NoSuchElementException;
import java.math.BigInteger;
import java.io.InputStream;

/**
 * Built using CHelper plug-in
 * Actual solution is at the top
 * @author Stanislav Pak
 */
public class Main {
	public static void main(String[] args) {
		InputStream inputStream = System.in;
		OutputStream outputStream = System.out;
		InputReader in = new InputReader(inputStream);
		OutputWriter out = new OutputWriter(outputStream);
		TaskB solver = new TaskB();
		solver.solve(1, in, out);
		out.close();
	}
}

class TaskB {
    public void solve(int testNumber, InputReader in, OutputWriter out) {
		int n = in.readInt();
		int k = in.readInt();
		int[] a = ArrayUtils.createArray(n, 0);
		int[][] color = new int[n][];
		for (int i = 0; i < n; ++i) {
			a[i] = in.readInt();
			color[i] = new int[a[i]];
		}
		int mx = ArrayUtils.maxElement(a);
		int mn = ArrayUtils.minElement(a);
		while (k > 0 && mx > 1 + mn) {
			for (int i = 0; i < n; ++i) {
				if (a[i] == mx) {
					--a[i];
					color[i][a[i]] = k;
				}
			}
			--k;
			--mx;
		}
		if (k == 0) {
			out.printLine("NO");
			return;
		}
		for (int i = 0; i < n; ++i) {
			while (a[i] > 0) {
				--a[i];
				color[i][a[i]] = k;
			}
		}
		out.printLine("YES");
		for (int i = 0; i < n; ++i) {
			for (int j = 0; j < color[i].length; ++j) {
				if (j > 0) out.print(" ");
				out.print(color[i][j]);
			}
			out.printLine();
		}
    }
}

class InputReader {

	private InputStream stream;
	private byte[] buf = new byte[1024];
	private int curChar;
	private int numChars;
	private SpaceCharFilter filter;

	public InputReader(InputStream stream) {
		this.stream = stream;
	}

	public int read() {
		if (numChars == -1)
			throw new InputMismatchException();
		if (curChar >= numChars) {
			curChar = 0;
			try {
				numChars = stream.read(buf);
			} catch (IOException e) {
				throw new InputMismatchException();
			}
			if (numChars <= 0)
				return -1;
		}
		return buf[curChar++];
	}

	public int readInt() {
		int c = read();
		while (isSpaceChar(c))
			c = read();
		int sgn = 1;
		if (c == '-') {
			sgn = -1;
			c = read();
		}
		int res = 0;
		do {
			if (c < '0' || c > '9')
				throw new InputMismatchException();
			res *= 10;
			res += c - '0';
			c = read();
		} while (!isSpaceChar(c));
		return res * sgn;
	}

	public boolean isSpaceChar(int c) {
		if (filter != null)
			return filter.isSpaceChar(c);
		return isWhitespace(c);
	}

	public static boolean isWhitespace(int c) {
		return c == ' ' || c == '\n' || c == '\r' || c == '\t' || c == -1;
	}

	public interface SpaceCharFilter {
		public boolean isSpaceChar(int ch);
	}
}

class OutputWriter {
	private final PrintWriter writer;

	public OutputWriter(OutputStream outputStream) {
		writer = new PrintWriter(new BufferedWriter(new OutputStreamWriter(outputStream)));
	}

	public void print(Object...objects) {
		for (int i = 0; i < objects.length; i++) {
			if (i != 0)
				writer.print(' ');
			writer.print(objects[i]);
		}
	}

	public void printLine() {
		writer.println();
	}

    public void printLine(Object...objects) {
		print(objects);
		writer.println();
	}

	public void close() {
		writer.close();
	}

	public void print(int i) {
		writer.print(i);
	}

}

class ArrayUtils {

	public static int maxElement(int[] array) {
		return maxElement(array, 0, array.length);
	}

	public static int maxElement(int[] array, int from, int to) {
		int result = Integer.MIN_VALUE;
		for (int i = from; i < to; i++)
			result = Math.max(result, array[i]);
		return result;
	}

	public static int minPosition(int[] array) {
		return minPosition(array, 0, array.length);
	}

	public static int minPosition(int[] array, int from, int to) {
        if (from >= to)
            return -1;
        int min = array[from];
        int result = from;
        for (int i = from + 1; i < to; i++) {
            if (array[i] < min) {
                min = array[i];
                result = i;
            }
        }
        return result;
    }

	public static int minElement(int[] array) {
		return array[minPosition(array)];
	}

	public static int[] createArray(int count, int value) {
		int[] array = new int[count];
		Arrays.fill(array, value);
		return array;
	}

}