The package for this problem was not updated by the problem writer or Codeforces administration after we've upgraded the judging servers. To adjust the time limit constraint, a solution execution time will be multiplied by 2. For example, if your solution works for 400 ms on judging servers, then the value 800 ms will be displayed and used to determine the verdict.

Codeforces Beta Round 89 (Div. 2) |
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Finished |

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B. Present from Lena

time limit per test

2 secondsmemory limit per test

256 megabytesinput

standard inputoutput

standard outputVasya's birthday is approaching and Lena decided to sew a patterned handkerchief to him as a present. Lena chose digits from 0 to *n* as the pattern. The digits will form a rhombus. The largest digit *n* should be located in the centre. The digits should decrease as they approach the edges. For example, for *n* = 5 the handkerchief pattern should look like that:

0

0 1 0

0 1 2 1 0

0 1 2 3 2 1 0

0 1 2 3 4 3 2 1 0

0 1 2 3 4 5 4 3 2 1 0

0 1 2 3 4 3 2 1 0

0 1 2 3 2 1 0

0 1 2 1 0

0 1 0

0

Your task is to determine the way the handkerchief will look like by the given *n*.

Input

The first line contains the single integer *n* (2 ≤ *n* ≤ 9).

Output

Print a picture for the given *n*. You should strictly observe the number of spaces before the first digit on each line. Every two adjacent digits in the same line should be separated by exactly one space. There should be no spaces after the last digit at the end of each line.

Examples

Input

2

Output

0

0 1 0

0 1 2 1 0

0 1 0

0

Input

3

Output

0

0 1 0

0 1 2 1 0

0 1 2 3 2 1 0

0 1 2 1 0

0 1 0

0

Codeforces (c) Copyright 2010-2023 Mike Mirzayanov

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