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:
# TAIWAN NUMBER ONE!!!!!!!!!!!!!!!!!!!
# TAIWAN NUMBER ONE!!!!!!!!!!!!!!!!!!!
# TAIWAN NUMBER ONE!!!!!!!!!!!!!!!!!!!
from sys import stdin, stdout
from collections import defaultdict
from collections import deque
import math
import copy

#T = int(input())
N = int(input())
#s1 = input()
#s2 = input()
#N,Q = [int(x) for x in stdin.readline().split()]
#arr = [int(x) for x in stdin.readline().split()]

data = [[0]*N for _ in range(N)]

arr = [[8,9,1,13],[3,12,7,5],[0,2,4,11],[6,10,15,14]]

for i in range(4):
    for j in range(4):
        data[i][j] = arr[i][j]
        
X = N//4

K = 1
for i in range(X):
    for j in range(X):
        if i==0 and j==0:
            continue
        u = i*4
        v = j*4
        for m in range(4):
            for n in range(4):
                data[u+m][v+n] = arr[m][n] + 16*K
        K += 1

for i in range(N):
    print(*data[i])