F

I’m out of stories. For years I’ve been writing stories, some rather silly, just to make simple problems look difficult and complex problems look easy. But, alas, not for this one. 
You’re given a non empty string made in its entirety from opening and closing braces. Your task is to find the minimum number of “operations” needed to make the string stable. The definition for being stable is as follows: 
1. An empty string is stable. 
2. If S is stable, then {S} is also stable. 
3. If S and T are both stable, then ST (the concatenation of the two) is also stable. 
All of these strings are stable: {}, {}{}, and {{}{}}; But none of these: }{, {{}{, nor {}{. 
The only operation allowed on the string is to replace an opening brace with a closing brace, or visa-versa. 

InputYour program will be tested on one or more data sets. Each data set is described on a single line. The line is a non-empty string of opening and closing braces and nothing else. No string has more than 2000 braces. All sequences are of even length. 
The last line of the input is made of one or more ’-’ (minus signs.) 

OutputFor each test case, print the following line: 
k. N 
Where k is the test case number (starting at one,) and N is the minimum number of operations needed to convert the given string into a balanced one. 
Note: There is a blank space before N. 
Sample Input

}{
{}{}{}
{{{}
---

Sample Output

1. 2
2. 0
3. 1
题目意思:
有一些由大括号组成的字符串,其中
1.{}合法
2.A合法的话,{A}
3.A,B合法的话,AB合法;
求把给的字符串中的{换成}或反之,要进行最少几次,可以把不合法的变成合法的
解法:
一道应用栈的一道题,

#include <iostream>
#include <stack>
#include <string.h>
#include <stdio.h>
using namespace std;

int main()
{
    int ti = 0;
    while(1)
    {
        char a[2500];
        char b[2500];
        stack<int>s;
        int n = 0;
        int len;

        gets(a);
        if(a[0] == '-')
            break;
        ti++;
        len = strlen(a);

        for(int i = 0;i < len;i++)
        {
            if(i==0&&a[0] == '}')
                b[n++] = a[0];
            else if( a[i] == '{' )
                {
                    s.push(1);
                    b[n++] = '{';
                }
            else if( a[i] == '}')
                {
                    if(!s.empty()&&s.top()==1)
                    {
                        s.pop();
                        b[n--] = ' ';
                    }
                    else
                    {
                        b[n++] = '}';
                    }
                }
        }
        int sum = 0;
      for(int i = 0;i < n;i=i+2)
      {
          if(b[i] == '{'&&b[i+1] == '{') sum++;
          if(b[i] == '}'&&b[i+1] =='}') sum++;
          if(b[i] == '}'&&b[i+1] == '{') sum +=2;

      }
      cout<<ti<<". "<<sum<<endl;
    }

    return 0;
}