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Present from Lena

2000ms 262144K

Description:

Vasya'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.

Sample Input:

2

Sample Output:

    0
0 1 0
0 1 2 1 0
0 1 0
0

Sample Input:

3

Sample 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

Informação

Codeforces

Provedor Codeforces

Código CF118B

Tags

constructive algorithmsimplementation

Submetido 0

BOUA! 0

Taxa de BOUA's 0%

Datas 09/05/2023 08:33:05

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