#P2083. Fractal

    ID: 1084 Type: RemoteJudge 1000ms 30MiB Tried: 0 Accepted: 0 Difficulty: (None) Uploaded By: Tags>Shanghai 2004 Preliminary

Fractal

Description

A fractal is an object or quantity that displays self-similarity, in a somewhat technical sense, on all scales. The object need not exhibit exactly the same structure at all scales, but the same "type" of structures must appear on all scales.

A box fractal is defined as below :

  • A box fractal of degree 1 is simply

X

  • A box fractal of degree 2 is
  • X X

    X

    X X

  • If using B(n - 1) to represent the box fractal of degree n - 1, then a box fractal of degree n is defined recursively as following
  • B(n - 1) B(n - 1)

    B(n - 1)

    B(n - 1) B(n - 1)

    Your task is to draw a box fractal of degree n.

    Input

    The input consists of several test cases. Each line of the input contains a positive integer n which is no greater than 7. The last line of input is a negative integer −1 indicating the end of input.

    Output

    For each test case, output the box fractal using the 'X' notation. Please notice that 'X' is an uppercase letter. Print a line with only a single dash after each test case.

    1
    2
    3
    4
    -1
    X
    -
    X X
     X
    X X
    -
    X X   X X
     X     X
    X X   X X
       X X
        X
       X X
    X X   X X
     X     X
    X X   X X
    -
    X X   X X         X X   X X
     X     X           X     X
    X X   X X         X X   X X
       X X               X X
        X                 X
       X X               X X
    X X   X X         X X   X X
     X     X           X     X
    X X   X X         X X   X X
             X X   X X
              X     X
             X X   X X
                X X
                 X
                X X
             X X   X X
              X     X
             X X   X X
    X X   X X         X X   X X
     X     X           X     X
    X X   X X         X X   X X
       X X               X X
        X                 X
       X X               X X
    X X   X X         X X   X X
     X     X           X     X
    X X   X X         X X   X X
    -

    Source

    Shanghai 2004 Preliminary