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;
bool check(pair<int, int> a, pair<int, int> b) { return a.second < b.second; }
int main() {
  ios_base::sync_with_stdio(false);
  cin.tie(NULL);
  cout.tie(NULL);
  int n, k;
  cin >> n >> k;
  vector<pair<int, int> > peb(n);
  for (int i = 0; i < n; ++i) {
    cin >> peb[i].first;
    peb[i].second = i;
  }
  sort(peb.begin(), peb.end());
  int color = 1;
  int t = peb[0].first + 1;
  int tt = t;
  for (int i = 1; i < n; ++i) {
    if (peb[i].first > t) {
      color += peb[i].first - t;
      t = peb[i].first;
    }
    if (color > k) {
      cout << "NO";
      return 0;
    }
  }
  cout << "YES\n";
  int j = 1;
  sort(peb.begin(), peb.end(), check);
  for (int i = 0; i < n; ++i) {
    t = tt;
    j = 1;
    for (int k = 0; k < peb[i].first; ++k) {
      if (k + 1 <= t) {
        cout << j << " ";
      } else {
        cout << ++j << " ";
      }
    }
    cout << "\n";
  }
  return 0;
}