Dividing Orange

2000ms

262144K

Description:

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 a_i (1 ≤ a_i ≤ n·k). All numbers a_i 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 a_i 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, ..., a_k (1 ≤ a_i ≤ n·k), where a_i is the number of the orange segment that the i-th child would like to get.

It is guaranteed that all numbers a_i 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.

Sample Input:

2 2
4 1

Sample Output:

2 4 
1 3

Sample Input:

3 1
2

Sample Output:

3 2 1

Informação

Provedor Codeforces

Código CF244A