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() {
  ios::sync_with_stdio(false);
  cin.tie(0);
  cout.tie(0);
  long long int t = 1;
  while (t--) {
    long long int n, k;
    cin >> n >> k;
    long long int a[n];
    for (long long int i = 0; i < n; i++) cin >> a[i];
    for (long long int i = 0; i < n; i++) {
      for (long long int j = 0; j < n; j++)
        if (abs(a[i] - a[j]) > k) {
          cout << "NO";
          return 0;
        }
    }
    cout << "YES" << '\n';
    for (long long int i = 0; i < n; i++) {
      for (long long int j = 0; j < a[i]; j++) {
        if (j + 1 <= k) {
          if (j != a[i] - 1)
            cout << j + 1 << " ";
          else
            cout << j + 1 << '\n';
        } else {
          long long int l = j + 1;
          for (; l > k;) {
            l -= k;
          }
          if (j != a[i] - 1)
            cout << l << " ";
          else
            cout << l << '\n';
        }
      }
    }
  }
  return 0;
}