Problem: One day Ms Swan bought an orange in a shop. The orange consisted of n·k segments, numbered with integers from 1 to n·k. 

There were k children waiting for Ms Swan at home. The children have recently learned about the orange and they decided to divide it between them. For that each child took a piece of paper and wrote the number of the segment that he would like to get: the i-th (1 ≤ i ≤ k) child wrote the number ai (1 ≤ ai ≤ n·k). All numbers ai accidentally turned out to be different.

Now the children wonder, how to divide the orange so as to meet these conditions:

  * each child gets exactly n orange segments; 
  * the i-th child gets the segment with number ai for sure; 
  * no segment goes to two children simultaneously. 



Help the children, divide the orange and fulfill the requirements, described above.

Input

The first line contains two integers n, k (1 ≤ n, k ≤ 30). The second line contains k space-separated integers a1, a2, ..., ak (1 ≤ ai ≤ n·k), where ai is the number of the orange segment that the i-th child would like to get.

It is guaranteed that all numbers ai are distinct.

Output

Print exactly n·k distinct integers. The first n integers represent the indexes of the segments the first child will get, the second n integers represent the indexes of the segments the second child will get, and so on. Separate the printed numbers with whitespaces.

You can print a child's segment indexes in any order. It is guaranteed that the answer always exists. If there are multiple correct answers, print any of them.

Examples

Input

2 2
4 1


Output

2 4 
1 3 


Input

3 1
2


Output

3 2 1 

Solution (in CPP):

Solution:
#include <bits/stdc++.h>
#pragma GCC optimize("O3")
using namespace std;
double dis(double x, double y, double x1, double y1) {
  return sqrt(((x - x1) * (x - x1)) + ((y - y1) * (y - y1)));
}
int main() {
  int a, b, c;
  cin >> a >> b;
  map<int, int> m;
  int arr[a * b + 1];
  memset((arr), (0), sizeof(arr));
  ;
  for (int i = 1; i <= b; i++) cin >> c, arr[c] = i, m[i] = c;
  for (int j = 1; j <= b; j++) {
    int d = a - 1;
    for (int i = 1; i < a * b + 1; i++) {
      if (d == 0) break;
      if (arr[i] == 0) cout << i << " ", d--, arr[i] = j;
    }
    cout << m[j] << "\n";
  }
}