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:
#!/usr/bin/env python
from __future__ import division, print_function
import math
import os
import sys
from fractions import *
from sys import stdin,stdout
from io import BytesIO, IOBase
from itertools import accumulate
from collections import deque
#sys.setrecursionlimit(10**5)

def inp(): return sys.stdin.readline().rstrip("\r\n")  # for fast input

def out(var): sys.stdout.write(str(var))  # for fast output, always take string

def lis(): return list(map(int, inp().split()))

def stringlis(): return list(map(str, inp().split()))

def sep(): return map(int, inp().split())

def strsep(): return map(str, inp().split())

def fsep(): return map(float, inp().split())

def inpu(): return int(inp())

if sys.version_info[0] < 3:
    from __builtin__ import xrange as range
    from future_builtins import ascii, filter, hex, map, oct, zip
#sys.setrecursionlimit(10**6)

# region fastio

BUFSIZE = 8192


class FastIO(IOBase):
    newlines = 0

    def __init__(self, file):
        self._fd = file.fileno()
        self.buffer = BytesIO()
        self.writable = "x" in file.mode or "r" not in file.mode
        self.write = self.buffer.write if self.writable else None

    def read(self):
        while True:
            b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE))
            if not b:
                break
            ptr = self.buffer.tell()
            self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr)
        self.newlines = 0
        return self.buffer.read()

    def readline(self):
        while self.newlines == 0:
            b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE))
            self.newlines = b.count(b"\n") + (not b)
            ptr = self.buffer.tell()
            self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr)
        self.newlines -= 1
        return self.buffer.readline()

    def flush(self):
        if self.writable:
            os.write(self._fd, self.buffer.getvalue())
            self.buffer.truncate(0), self.buffer.seek(0)


class IOWrapper(IOBase):
    def __init__(self, file):
        self.buffer = FastIO(file)
        self.flush = self.buffer.flush
        self.writable = self.buffer.writable
        self.write = lambda s: self.buffer.write(s.encode("ascii"))
        self.read = lambda: self.buffer.read().decode("ascii")
        self.readline = lambda: self.buffer.readline().decode("ascii")


def print(*args, **kwargs):
    """Prints the values to a stream, or to sys.stdout by default."""
    sep, file = kwargs.pop("sep", " "), kwargs.pop("file", sys.stdout)
    at_start = True
    for x in args:
        if not at_start:
            file.write(sep)
        file.write(str(x))
        at_start = False
    file.write(kwargs.pop("end", "\n"))
    if kwargs.pop("flush", False):
        file.flush()


if sys.version_info[0] < 3:
    sys.stdin, sys.stdout = FastIO(sys.stdin), FastIO(sys.stdout)
else:
    sys.stdin, sys.stdout = IOWrapper(sys.stdin), IOWrapper(sys.stdout)

input = lambda: sys.stdin.readline().rstrip("\r\n")
#-----------------------------------------------------------------

def regularbracket(t):
    p=0
    for i in t:
        if i=="(":
            p+=1
        else:
            p-=1
        if p<0:
            return False
    else:
        if p>0:
            return False
        else:
            return True

#-------------------------------------------------
def binarySearchCount(arr, n, key):
    left = 0
    right = n - 1

    count = 0

    while (left <= right):
        mid = int((right + left) / 2)

        # Check if middle element is
        # less than or equal to key
        if (arr[mid] <= key):
            count = mid+1
            left = mid + 1

        # If key is smaller, ignore right half
        else:
            right = mid - 1
    return count
#------------------------------reverse string(pallindrome)
def reverse1(string):
    pp=""
    for i in string[::-1]:
        pp+=i
    if pp==string:
        return True
    return False
#--------------------------------reverse list(paindrome)
def reverse2(list1):
    l=[]
    for i in list1[::-1]:
        l.append(i)
    if l==list1:
        return True
    return False
def mex(list1):
    #list1 = sorted(list1)
    p = max(list1)+1
    for i in range(len(list1)):
        if list1[i]!=i:
            p = i
            break
    return p
def sumofdigits(n):
    n = str(n)
    s1=0
    for i in n:
        s1+=int(i)
    return s1
def perfect_square(n):
    s = math.sqrt(n)
    if s==int(s):
        return True
    return False

#-----------------------------roman
def roman_number(x):
    if x>15999:
        return
    value=[5000,4000,1000,900,500,400,100,90,50,40,10,9,5,4,1]
    symbol = ["F","MF","M","CM","D","CD","C","XC","L","XL","X","IX","V","IV","I"]
    roman=""
    i=0
    while x>0:
        div = x//value[i]
        x = x%value[i]
        while div:
            roman+=symbol[i]
            div-=1
        i+=1
    return roman

def soretd(s):
    for i in range(1,len(s)):
        if s[i-1]>s[i]:
            return False
    return True
#print(soretd("1"))
#---------------------------
def countRhombi(h, w):
    ct = 0
    for i in range(2, h + 1, 2):
        for j in range(2, w + 1, 2):
            ct += (h - i + 1) * (w - j + 1)
    return ct
def countrhombi2(h,w):
    return ((h*h)//4) * ((w*w)//4)
#---------------------------------
def binpow(a,b):
    if b==0:
        return 1
    else:
        res=binpow(a,b//2)
    if b%2!=0:
        return res*res*a
    else:
        return res*res
#-------------------------------------------------------
def binpowmodulus(a,b,m):
    a %= m
    res = 1
    while (b > 0):
        if (b & 1):
            res = res * a % m
        a = a * a % m
        b >>= 1
    return res
#-------------------------------------------------------------
def coprime_to_n(n):
    result = n
    i=2
    while(i*i<=n):
        if (n % i == 0):
            while (n % i == 0):
                n //= i
            result -= result // i
        i+=1
    if (n > 1):
        result -= result // n
    return result
#-------------------prime
def prime(x):
    if x==1:
        return False
    else:
        for i in range(2,int(math.sqrt(x))+1):
            if(x%i==0):
                return False
        else:
            return True

def luckynumwithequalnumberoffourandseven(x,n,a):
    if x >= n and str(x).count("4") == str(x).count("7"):
        a.append(x)
    else:
        if x < 1e12:
            luckynumwithequalnumberoffourandseven(x * 10 + 4,n,a)
            luckynumwithequalnumberoffourandseven(x * 10 + 7,n,a)
    return a
def luckynuber(x,n,a):
    p = set(str(x))
    if len(p)<=2:
            a.append(x)
    if x<n:
            luckynuber(x+1,n,a)
    return a
res = set()
def solve(p, l,a,b):
    if p > n or l > 10:
        return
    if p > 0:
        res.add(p)
    solve(p * 10 + a, l + 1,a,b)
    solve(p * 10 + b, l + 1,a,b)
#problem
"""
n = int(input())
for a in range(0, 10):
    for b in range(0, a):
        solve(0, 0)
print(len(res))
"""
#def mapu(): return map(int,input().split())
#endregion------------------------------
"""
def main():
    x,y,n = sep()

    c = (Fraction(x,y).limit_denominator(n))
   # print(type(c))
   # print(c)
    c = str(c)
    if "/" in c:
            print(c)
    else:
            print(c+"/"+"1")

if __name__ == '__main__':
    main()
"""
"""
if __name__ == '__main__':
    a,b = sep()
    print(countRhombi(a,b))
"""
"""
def main():
    m = inpu()
    l=[0]*5
    for _ in range(m):
        a,b = sep()
        l[a - 1] += 1
        l[b - 1] += 1
    #print(l)
    if l.count(2) == 5:
        print('FAIL')
    else:
        print('WIN')
if __name__ == '__main__':
    main()
"""
def main():
    n,k = sep()
    a = lis()
    ll=[]
    for i in range(k):
        ans=[]
        ans.append(a[i])
        for i in range(1,n*k+1):
            if i not in a and i not in ll:
                ans.append(i)
                ll.append(i)
            if len(ans)==n:
                break
        print(*ans)
if __name__ == '__main__':
    main()