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 PYTHON):

Solution:
import sys

def readints() :
    l = sys.stdin.readline()
    return map(int, l.split(' '))

def readstring() :
    l = sys.stdin.readline()[:-1]
    return l

def readint() :
    l = sys.stdin.readline()
    return int(l)

def clearchars(s, chars) :
    for c in chars :
        s = s.replace(c, '')
    return s

def gcd(a, b) :
    if (a < b ) :
        a, b = b, a
    if b == 0 :
        return a
    return gcd(b, a % b)

def hist(a) :
    h = {}
    for x in a :
        try : 
            h[x] += 1
        except KeyError :
            h[x] = 1
    return h

def lucky(n) :
    s = set(str(n))
    return all(map(lambda x: x in '47', s))    

def yslice(a, j) :
    return map(lambda x: x[j], a)

def dist2(a, b) :
    return ((a[0] - b[0]) ** 2 + (a[1] - b[1]) ** 2) ** 0.5

def chain_len(a) :
    l = .0
    for d, e in zip(a, a[1:]) :
        l += dist2(d, e)
    return l

def is_prime(x) :
    sq = int(x ** 0.5) 
    for i in range(2, sq + 1) :
        if x % i == 0 :
            return False
    return True

digits = '0123456789'

def noe() :
    print "NO"
    exit(0)

def yese() :
    print "YES"
    exit(0)

n, k = readints()
a = readints()

x = list(set(range(1, n * k + 1)) - set(a))
for i in range(k) :
    print a[i],
    for j in range(i * (n - 1), (i + 1) * (n - 1)) :
        print x[j],
    print