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 CPP):

Solution:
#include <bits/stdc++.h>
using namespace std;
int main() {
  int q[110][110], f[110], i, j, g, min, mini, max, maxi, n, k;
  cin >> n >> k;
  max = 0;
  min = 10000;
  for (i = 0; i < n; i++) {
    cin >> f[i];
    if (f[i] > max) {
      max = f[i];
      maxi = i;
    }
    if (f[i] < min) {
      min = f[i];
      mini = i;
    }
  }
  if (max - min > k) {
    cout << "NO";
  } else {
    cout << "YES" << endl;
    for (i = 1; i <= k; i++) {
      g = min / (k - i + 1);
      for (j = 0; j < n; j++) {
        q[i][j] = g;
        if (min < f[j]) {
          f[j]--;
          q[i][j]++;
        }
        f[j] -= g;
      }
      min -= g;
    }
    for (j = 0; j < n; j++) {
      for (i = 1; i <= k; i++) {
        for (g = 0; g < q[i][j]; g++) {
          cout << i << " ";
        }
      }
      cout << endl;
    }
  }
  return 0;
}