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 n, i, j, k, p, t, ij, r;
  int a[101], b[101][101] = {0};
  cin >> n >> k;
  for (i = 1; i <= n; i++) cin >> a[i];
  for (i = 1; i <= n; i++) {
    t = a[i] / k;
    r = a[i] % k;
    for (j = 1; j <= r; j++) b[i][j] = t + 1;
    for (j = r + 1; j <= a[i]; j++) b[i][j] = t;
  }
  for (i = 1; i < n; i++)
    for (j = i + 1; j <= n; j++)
      for (ij = 1; ij <= k; ij++)
        if (b[i][ij] - b[j][ij] > 1 || b[j][ij] - b[i][ij] > 1) {
          cout << "NO\n";
          return 0;
        }
  cout << "YES\n";
  for (i = 1; i <= n; i++) {
    for (j = 1; j <= k; j++) {
      for (ij = 1; ij <= b[i][j]; ij++) cout << j << " ";
    }
    cout << endl;
  }
}