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 PYTHON3):

Solution:
##l = [int(item) for item in input().split()]
def children_to_slices(n, k, l):
    kid_to_slice = [[]] * (k+1)
    remaining = set([i for i in range(1, (n*k)+1)])

    # Give eah kid what he wants
    for item in l:
        kid_to_slice[item[0]] = kid_to_slice[item[0]] + [item[1]]
        remaining.remove(item[1])

    # fill each kid's inventory
    for i in range(1, k+1):
        while len(kid_to_slice[i]) < n:
            kid_to_slice[i] = kid_to_slice[i] + [remaining.pop()]

    return kid_to_slice

first_line = input().split()
n = int(first_line[0])
k = int(first_line[1])
l = []
assignments = [int(item) for item in input().split()]
for i in range(len(assignments)):
        l.append((i+1, assignments[i]))

m = children_to_slices(n, k, l)
for i in range(1, k+1):
    output = ""
    for item in m[i]:
        output += str(item) + " "
    print(output)