2013
11-12

# Cantoring Along

The Cantor set was discovered by Georg Cantor. It is one of the simpler fractals. It is the result of an infinite process, so for this program, printing an approximation of the whole set is enough. The following steps describe one way of obtaining the desired output for a given order Cantor set:
2. Replace the middle third of the line of dashes with spaces. You are left with two lines of dashes at each end of the original string.
3. Replace the middle third of each line of dashes with spaces. Repeat until the lines consist of a single dash.

For example, if the order of approximation is 3, start with a string of 27 dashes:

---------------------------

Remove the middle third of the string:

---------         ---------

and remove the middle third of each piece:

---   ---         ---   ---

and again:

- -   - -         - -   - -

The process stops here, when the groups of dashes are all of length 1. You should not print the intermediate steps in your program. Only the final result, given by the last line above, should be displayed.

Each line of input will be a single number between 0 and 12, inclusive, indicating the order of the approximation. The input stops when end-of-file is reached.

You must output the approximation of the Cantor set, followed by a newline. There is no whitespace before or after your Cantor set approximation. The only characters that should appear on your line are ‘-’ and ‘ ‘. Each set is followed by a newline, but there should be no extra newlines in your output.

0
1
3
2

-
- -
- -   - -         - -   - -
- -   - -


//* @author: 82638882@163.com
import java.util.*;
public class Main
{
public static void main(String[] args)
{
Scanner in=new Scanner(System.in);
StringBuffer[] sb=new StringBuffer[13];
sb[0]=new StringBuffer("-");
for(int i=1;i< 13;i++)
{
sb[i]=new StringBuffer(sb[i-1]);
int k=(int)Math.pow(3, i-1);
for(int w=0;w< k;w++)
sb[i].append(" ");
sb[i].append(sb[i-1]);
}
while(in.hasNext())
{
int a=in.nextInt();
System.out.println(sb[a]);
}
}
}

1. 你的理解应该是：即使主持人拿走一个箱子对结果没有影响。这样想，主持人拿走的箱子只是没有影响到你初始选择的那个箱子中有奖品的概率，但是改变了其余两个箱子的概率分布。由 1/3,1/3 变成了 0, 2/3

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