Fractal
Time Limit: 1000MS | Memory Limit: 30000K | |
Total Submissions: 6646 | Accepted: 3297 |
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 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.
Sample Input
1
2
3
4
-1
Sample Output
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
-
#include <stdio.h>
#include <math.h>
#include <iostream>
using namespace std; char Map[][]; void DFS(int n, int x, int y)
{
if (n == )
{
Map[x][y] = 'X';
return;
}
int size = pow(3.0, n - );
DFS(n - , x, y);// 左上角
DFS(n - , x, y + size * );//右上角
DFS(n - , x + size, y + size);//中间
DFS(n - , x + size * , y);//左下角
DFS(n - , x + size * , y + size * );//右下角
} int main()
{
int n, size;
while(scanf("%d", &n) != NULL && n != -)
{
size = pow(3.0, n - );
for (int i = ; i <= size; i++)
{
for (int j = ; j <= size; j++)
{
Map[i][j] = ' ';
}
Map[i][size + ] = '\0';
}
DFS(n, , );
for (int i = ; i <= size; i++)
{
printf("%s\n", Map[i] + );
}
printf("-\n");
}
return ;
}