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 PYTHON):

Solution:
rr = raw_input
rri = lambda: int(raw_input())
rrm = lambda: map(int, raw_input().split())
MOD = 10**9 + 7

N = rri()
pattern = [8,9,1,13,3,12,7,5,0,2,4,11,6,10,15,14]
ans = [[0]* N for _ in xrange(N)]
anchor = 0
for rbase in xrange(N/4):
    for cbase in xrange(N/4):
        vals = [anchor + b for b in pattern]
        anchor += 16
        for rdelta in xrange(4):
            for cdelta in xrange(4):
                ans[rbase * 4 + rdelta][cbase * 4 + cdelta] = vals.pop()

for row in ans:
    print " ".join(map(str, row))