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.IOException;
import java.io.InputStreamReader;
import java.util.Arrays;
import java.util.StringTokenizer;

public class PaintingPebbles {
    public static void main(String[] args) throws IOException {
        BufferedReader bf = new BufferedReader(new InputStreamReader(System.in));
        StringTokenizer st = new StringTokenizer(bf.readLine());
        int piles = Integer.parseInt(st.nextToken());
        int color = Integer.parseInt(st.nextToken());
        int[] pebbles = new int[piles];
        st = new StringTokenizer(bf.readLine());
        for (int i = 0; i < pebbles.length; i++) {
            pebbles[i] = Integer.parseInt(st.nextToken());
        }
        int[][] solution = new int[piles][color];

        for (int i = 0; i < solution.length; i++) {
            int x = pebbles[i];
            int fill, zyada;
            if (x < color) {
                fill = 0;
                zyada = x;
            } else {
                fill = x / color;
                zyada = x % color;
            }
            Arrays.fill(solution[i], fill);
            for (int j = 0; j < zyada; j++) {
                solution[i][j]++;
            }
        }

        boolean flag = true;
        for (int i = 0; i < color; i++) {
            int min = Integer.MAX_VALUE;
            int max = 0;
            for (int j = 0; j < piles; j++) {
                int element = solution[j][i];
                if (element > max) {
                    max = element;
                }
                if (element < min) {
                    min = element;
                }
            }
            if (max - min > 1) {
                flag = false;
                break;
            }
        }

        if (!flag) {
            System.out.println("NO");
        } else {
            System.out.println("YES");
            for (int i = 0; i < pebbles.length; i++) {
                for (int j = 0; j <color; j++) {
                    while(solution[i][j]!=0){
                        System.out.print(j+1+" ");
                        solution[i][j]--;
                    }
                }
                System.out.println();
            }
        }
    }
}