poj2038Fractal盒分形深搜递归
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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 :
Your task is to draw a box fractal of degree n.
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
1234-1
Sample Output
X-X X XX X-X X X X X XX X X X X X X X XX X X X X XX X X X-X X X X X X X X X X X XX X X X X X X X X X X X X X X X X XX X X X X X X X X X X XX X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X XX X X X X X X X X X X XX X X X X X X X X X X X X X X X X XX X X X X X X X X X X XX X X X X X X X#include <iostream>#include<cmath>#include<cstdio>using namespace std;char map[7000][7000];void dfs(int n,int x,int y)//深搜{ if(n==1) { map[x][y]='X'; return ; } int m=pow(3,n-2); dfs(n-1,x,y);//x,y是平面x,y轴坐标 dfs(n-1,x+m,y+m); dfs(n-1,x+2*m,y+2*m); dfs(n-1,x+2*m,y); dfs(n-1,x,y+2*m);}int main(){ int i,m,n,j; while(cin>>n&&n>=0) { m=pow(3,n-1); for(i=0; i<m; i++) { for(j=0; j<m; j++) map[i][j]=' '; map[i][m]='\0';//每行结束标志 } dfs(n,0,0); for(i=0; i<m; i++) printf("%s\n",map[i]); printf("-\n"); } return 0;}
学习心得:利用深搜打印了如此复杂的图案,看来计算机语言有时候真的很神奇-
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