Rani has challenged Nandu to generate Splendid Matrices. Splendid matrices are square matrices with dimensions 2^n X 2^n filled in a particular manner. To explain this manner, Rani gives Nandu the matrices for n=1, n=2 and n=3 :

n=1
1 2
3 4

n=2 (spacing for clarity)
1 2 5 6
3 4 7 8
9 10 13 14
11 12 15 16

n=3 (spacing for clarity)
1 2 5 6 17 18 21 22
3 4 7 8 19 20 23 24
9 10 13 14 25 26 29 30
11 12 15 16 27 28 31 32
33 34 37 38 49 50 53 54
35 36 39 40 51 52 55 56
41 42 45 46 57 58 61 62
43 44 47 48 59 60 63 64

Given n, please help Nandu in generating the Splendid Matrix with dimensions 2^n X 2^n.
Input
A single line consisting of n.
Output
n lines. Each line should consist of n integers separated by single spaces.
Constraints
1 < = n < = 10

SAMPLE INPUT
3

SAMPLE OUTPUT
1 2 5 6 17 18 21 22
3 4 7 8 19 20 23 24
9 10 13 14 25 26 29 30
11 12 15 16 27 28 31 32
33 34 37 38 49 50 53 54
35 36 39 40 51 52 55 56
41 42 45 46 57 58 61 62
43 44 47 48 59 60 63 64

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