原题链接：118. 分形
题目描述
分形，具有以非整数维形式充填空间的形态特征。
通常被定义为“一个粗糙或零碎的几何形状，可以分成数个部分，且每一部分都（至少近似地）是整体缩小后的形状”，即具有自相似的性质。
现在，定义“盒子分形”如下：
一级盒子分形：
X
二级盒子分形：
X X
X
X X
如果用B(n - 1)代表第n-1级盒子分形，那么第n级盒子分形即为：
B(n - 1) B(n - 1)
B(n - 1)
B(n - 1) B(n - 1)
你的任务是绘制一个n级的盒子分形。
输入格式
输入包含几个测试用例。
输入的每一行包含一个不大于7的正整数n，代表要输出的盒子分形的等级。
输入的最后一行为-1，代表输入结束。
输出格式
对于每个测试用例，使用“X”符号输出对应等级的盒子分形。
请注意’X’是一个大写字母。
每个测试用例后输出一个独立一行的短划线。
样例
输入样例：
1
2
3
4
-1
输出样例
X
-
X X
X
X X
-
X X X X
X X
X X X X
X X
X
X X
X X X X
X X
X X X X
-
X X X X X X X X
X X X X
X X X X X X X X
X X X X
X X
X X X X
X X X X X X X X
X X X X
X X X X X X X X
X X X X
X X
X X X X
X X
X
X X
X X X X
X X
X X X X
X X X X X X X X
X X X X
X X X X X X X X
X X X X
X X
X X X X
X X X X X X X X
X X X X
X X X X X X X X
-
解题思路
模拟＋递归
- 这道题的思维难度不是很大，我们主要是要看清题目的输出格式，其实当n>1的时候，每一个输出，都可以看作成为九宫格。
- 接着我们可以注意一下每两个X之间的空格，就可以发现一定的规律。
3.这道题目可以不用递归做，但是用递归做非常的简便。
样例代码
#include <bits/stdc++.h>
using namespace std;
int rc[730][730],n,i,j;
int power(int a,int b)//快速幂，虽然可以不用，但是多打一打还是很有益处的。
{
if (b==0)
return 1;
int ans=1;
while(b)
{
if (b&1)
ans=ans*a;
a*=a;
b>>=1;
}
return ans;
}
void dg(int n,int x,int y)
{
if (n==1)
{
rc[x][y]=1;
return ;
}
int len=power(3,n-2);//枚举len的长度，也就是枚举两个X之间的空格数
dg(n-1,x,y);//左上
dg(n-1,x+2*len,y);//右上
dg(n-1,x+len,y+len);//中间
dg(n-1,x,y+2*len);//左下
dg(n-1,x+2*len,y+2*len);//右下
//以上具体可以通过样例理解
}
int main()
{
while(1)
{
cin>>n;
if (n==-1)//题目说的-1就要终止
return 0;
dg(n,1,1);
for (i=1;i<=power(3,n-1);i++)
{
for (j=1;j<=power(3,n-1);j++)
if (rc[i][j])
cout<<"X";
else
cout<<" ";
puts("");
}
puts("-");//题目中说的，要注意哦！
}
return 0;
}
皮一下的打表版本
#include<bits/stdc++.h>
using namespace std;
void print(int x)
{
switch (x)
{
case 1:
cout<<R"(X
)";
break;
case 2:
cout<<R"(X X
X
X X
)";
break;
case 3:
cout<<R"(X X X X
X X
X X X X
X X
X
X X
X X X X
X X
X X X X
)";
break;
case 4:
cout<<R"(X X X X X X X X
X X X X
X X X X X X X X
X X X X
X X
X X X X
X X X X X X X X
X X X X
X X X X X X X X
X X X X
X X
X X X X
X X
X
X X
X X X X
X X
X X X X
X X X X X X X X
X X X X
X X X X X X X X
X X X X
X X
X X X X
X X X X X X X X
X X X X
X X X X X X X X
)";
break;
case 5:
cout<<R"(X X X X X X X X X X X X X X X X
X X X X X X X X
X X X X X X X X X X X X X X X X
X X X X X X X X
X X X X
X X X X X X X X
X X X X X X X X X X X X X X X X
X X X X X X X X
X X X X X X X X X X X X X X X X
X X X X X X X X
X X X X
X X X X X X X X
X X X X
X X
X X X X
X X X X X X X X
X X X X
X X X X X X X X
X X X X X X X X X X X X X X X X
X X X X X X X X
X X X X X X X X X X X X X X X X
X X X X X X X X
X X X X
X X X X X X X X
X X X X X X X X X X X X X X X X
X X X X X X X X
X X X X X X X X X X X X X X X X
X X X X X X X X
X X X X
X X X X X X X X
X X X X
X X
X X X X
X X X X X X X X
X X X X
X X X X X X X X
X X X X
X X
X X X X
X X
X
X X
X X X X
X X
X X X X
X X X X X X X X
X X X X
X X X X X X X X
X X X X
X X
X X X X
X X X X X X X X
X X X X
X X X X X X X X
X X X X X X X X X X X X X X X X
X X X X X X X X
X X X X X X X X X X X X X X X X
X X X X X X X X
X X X X
X X X X X X X X
X X X X X X X X X X X X X X X X
X X X X X X X X
X X X X X X X X X X X X X X X X
X X X X X X X X
X X X X
X X X X X X X X
X X X X
X X
X X X X
X X X X X X X X
X X X X
X X X X X X X X
X X X X X X X X X X X X X X X X
X X X X X X X X
X X X X X X X X X X X X X X X X
X X X X X X X X
X X X X
X X X X X X X X
X X X X X X X X X X X X X X X X
X X X X X X X X
X X X X X X X X X X X X X X X X
)";
break;
case 6:
cout<<R"(X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
X X X X X X X X X X X X X X X X
X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
X X X X X X X X X X X X X X X X
X X X X X X X X
X X X X X X X X X X X X X X X X
X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
X X X X X X X X X X X X X X X X
X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
X X X X X X X X X X X X X X X X
X X X X X X X X
X X X X X X X X X X X X X X X X
X X X X X X X X
X X X X
X X X X X X X X
X X X X X X X X X X X X X X X X
X X X X X X X X
X X X X X X X X X X X X X X X X
X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
X X X X X X X X X X X X X X X X
X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
X X X X X X X X X X X X X X X X
X X X X X X X X
X X X X X X X X X X X X X X X X
X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
X X X X X X X X X X X X X X X X
X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
X X X X X X X X X X X X X X X X
X X X X X X X X
X X X X X X X X X X X X X X X X
X X X X X X X X
X X X X
X X X X X X X X
X X X X X X X X X X X X X X X X
X X X X X X X X
X X X X X X X X X X X X X X X X
X X X X X X X X
X X X X
X X X X X X X X
X X X X
X X
X X X X
X X X X X X X X
X X X X
X X X X X X X X
X X X X X X X X X X X X X X X X
X X X X X X X X
X X X X X X X X X X X X X X X X
X X X X X X X X
X X X X
X X X X X X X X
X X X X X X X X X X X X X X X X
X X X X X X X X
X X X X X X X X X X X X X X X X
X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
X X X X X X X X X X X X X X X X
X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
X X X X X X X X X X X X X X X X
X X X X X X X X
X X X X X X X X X X X X X X X X
X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
X X X X X X X X X X X X X X X X
X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
X X X X X X X X X X X X X X X X
X X X X X X X X
X X X X X X X X X X X X X X X X
X X X X X X X X
X X X X
X X X X X X X X
X X X X X X X X X X X X X X X X
X X X X X X X X
X X X X X X X X X X X X X X X X
X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
X X X X X X X X X X X X X X X X
X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
X X X X X X X X X X X X X X X X
X X X X X X X X
X X X X X X X X X X X X X X X X
X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
X X X X X X X X X X X X X X X X
X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
X X X X X X X X X X X X X X X X
X X X X X X X X
X X X X X X X X X X X X X X X X
X X X X X X X X
X X X X
X X X X X X X X
X X X X X X X X X X X X X X X X
X X X X X X X X
X X X X X X X X X X X X X X X X
X X X X X X X X
X X X X
X X X X X X X X
X X X X
X X
X X X X
X X X X X X X X
X X X X
X X X X X X X X
X X X X X X X X X X X X X X X X
X X X X X X X X
X X X X X X X X X X X X X X X X
X X X X X X X X
X X X X
X X X X X X X X
X X X X X X X X X X X X X X X X
X X X X X X X X
X X X X X X X X X X X X X X X X
X X X X X X X X
X X X X
X X X X X X X X
X X X X
X X
X X X X
X X X X X X X X
X X X X
X X X X X X X X
X X X X
X X
X X X X
X X
X
X X
X X X X
X X
X X X X
X X X X X X X X
X X X X
X X X X X X X X
X X X X
X X
X X X X
X X X X X X X X
X X X X
X X X X X X X X
X X X X X X X X X X X X X X X X
X X X X X X X X
X X X X X X X X X X X X X X X X
X X X X X X X X
X X X X
X X X X X X X X
X X X X X X X X X X X X X X X X
X X X X X X X X
X X X X X X X X X X X X X X X X
X X X X X X X X
X X X X
X X X X X X X X
X X X X
X X
X X X X
X X X X X X X X
X X X X
X X X X X X X X
X X X X X X X X X X X X X X X X
X X X X X X X X
X X X X X X X X X X X X X X X X
X X X X X X X X
X X X X
X X X X X X X X
X X X X X X X X X X X X X X X X
X X X X X X X X
X X X X X X X X X X X X X X X X
X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
X X X X X X X X X X X X X X X X
X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
X X X X X X X X X X X X X X X X
X X X X X X X X
X X X X X X X X X X X X X X X X
X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
X X X X X X X X X X X X X X X X
X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
X X X X X X X X X X X X X X X X
X X X X X X X X
X X X X X X X X X X X X X X X X
X X X X X X X X
X X X X
X X X X X X X X
X X X X X X X X X X X X X X X X
X X X X X X X X
X X X X X X X X X X X X X X X X
X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
X X X X X X X X X X X X X X X X
X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
X X X X X X X X X X X X X X X X
X X X X X X X X
X X X X X X X X X X X X X X X X
X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
X X X X X X X X X X X X X X X X
X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
X X X X X X X X X X X X X X X X
X X X X X X X X
X X X X X X X X X X X X X X X X
X X X X X X X X
X X X X
X X X X X X X X
X X X X X X X X X X X X X X X X
X X X X X X X X
X X X X X X X X X X X X X X X X
X X X X X X X X
X X X X
X X X X X X X X
X X X X
X X
X X X X
X X X X X X X X
X X X X
X X X X X X X X
X X X X X X X X X X X X X X X X
X X X X X X X X
X X X X X X X X X X X X X X X X
X X X X X X X X
X X X X
X X X X X X X X
X X X X X X X X X X X X X X X X
X X X X X X X X
X X X X X X X X X X X X X X X X
X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
X X X X X X X X X X X X X X X X
X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
X X X X X X X X X X X X X X X X
X X X X X X X X
X X X X X X X X X X X X X X X X
X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
X X X X X X X X X X X X X X X X
X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
X X X X X X X X X X X X X X X X
X X X X X X X X
X X X X X X X X X X X X X X X X
X X X X X X X X
X X X X
X X X X X X X X
X X X X X X X X X X X X X X X X
X X X X X X X X
X X X X X X X X X X X X X X X X
X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
X X X X X X X X X X X X X X X X
X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
X X X X X X X X X X X X X X X X
X X X X X X X X
X X X X X X X X X X X X X X X X
X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
X X X X X X X X X X X X X X X X
X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
)";
break;
case 7:
cout<<R"(X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
X X X X X X X X X X X X X X X X
X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
X X X X X X X X X X X X X X X X
X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
X X X X X X X X X X X X X X X X
X X X X X X X X
X X X X X X X X X X X X X X X X
X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
X X X X X X X X X X X X X X X X
X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
X X X X X X X X X X X X X X X X
X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
X X X X X X X X X X X X X X X X
X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
X X X X X X X X X X X X X X X X
X X X X X X X X
X X X X X X X X X X X X X X X X
X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
X X X X X X X X X X X X X X X X
X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
X X X X X X X X X X X X X X X X
X X X X X X X X
X X X X X X X X X X X X X X X X
X X X X X X X X
X X X X
X X X X X X X X
X X X X X X X X X X X X X X X X
X X X X X X X X
X X X X X X X X X X X X X X X X
X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
X X X X X X X X X X X X X X X X
X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
X X X X X X X X X X X X X X X X
X X X X X X X X
X X X X X X X X X X X X X X X X
X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
X X X X X X X X X X X X X X X X
X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
X X X X X X X X X X X X X X X X
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)";
break;
}
}
int main()
{
int n;
while (scanf("%d",&n),n!=-1)
{
print(n);
printf("-
");
}
return 0;
}