Problem: Let us define a magic grid to be a square matrix of integers of size n × n, satisfying the following conditions. 

  * All integers from 0 to (n^2 - 1) inclusive appear in the matrix exactly once. 
  * [Bitwise XOR](https://en.wikipedia.org/wiki/Bitwise_operation#XOR) of all elements in a row or a column must be the same for each row and column. 



You are given an integer n which is a multiple of 4. Construct a magic grid of size n × n.

Input

The only line of input contains an integer n (4 ≤ n ≤ 1000). It is guaranteed that n is a multiple of 4.

Output

Print a magic grid, i.e. n lines, the i-th of which contains n space-separated integers, representing the i-th row of the grid.

If there are multiple answers, print any. We can show that an answer always exists.

Examples

Input


4


Output


8 9 1 13
3 12 7 5
0 2 4 11
6 10 15 14

Input


8


Output


19 55 11 39 32 36 4 52
51 7 35 31 12 48 28 20
43 23 59 15 0 8 16 44
3 47 27 63 24 40 60 56
34 38 6 54 17 53 9 37
14 50 30 22 49 5 33 29
2 10 18 46 41 21 57 13
26 42 62 58 1 45 25 61

Note

In the first example, XOR of each row and each column is 13.

In the second example, XOR of each row and each column is 60.

Solution (in PYTHON3):

Solution:
'''input
12
'''
import sys


def ri(flag=0):
	if flag==0:
		return [int(i) for i in sys.stdin.readline().split()]
	else:
		return int(sys.stdin.readline())

n=ri(1)

mat=[[0 for i in range(n)] for j in range(n)]


bits=[0 for i in range(21)]

# for i in range(n*n):
# 	for j in range(21):
# 		if(i&(1<<j)):
# 			bits[j]+=1

cnt=0
for i in range(0,n,4):
	for j in range(0,n,4):
		for p in range(4):
			for q in range(4):
				mat[i+p][j+q]=cnt
				cnt+=1
for i in mat:
	print(*i)


size = n*n
# for i in range(20):
# 	if i%2==0:
# 		vis = dd(int)
# 	for j in range(n):
# 		for k in range(n):
# 			if bits[i]>=4 and j+1<n and k+1<n and vis[j,k]==0:
# 				vis[j,k]=1
# 				vis[j+1,k]=1
# 				vis[j,k+1]=1
# 				vis[j+1,j+1]=1
# 				mat[j][k]+= (1<<i)
# 				mat[j+1][k]+= (1<<i)
# 				mat[j][k+1]+= (1<<i)
# 				mat[j+1][k+1]+= (1<<i)
# 				bits[i]-=4