C. Replace To Make Regular Bracket Sequence

来源:互联网 发布:淘宝运营提成比例 编辑:程序博客网 时间:2024/06/05 07:07

C. Replace To Make Regular Bracket Sequence
time limit per test1 second
memory limit per test256 megabytes
inputstandard input
outputstandard output
You are given string s consists of opening and closing brackets of four kinds <>, {}, [], (). There are two types of brackets: opening and closing. You can replace any bracket by another of the same type. For example, you can replace < by the bracket {, but you can’t replace it by ) or >.

The following definition of a regular bracket sequence is well-known, so you can be familiar with it.

Let’s define a regular bracket sequence (RBS). Empty string is RBS. Let s1 and s2 be a RBS then the strings s2, {s1}s2, [s1]s2, (s1)s2 are also RBS.

For example the string “[[(){}]<>]” is RBS, but the strings “[)()” and “][()()” are not.

Determine the least number of replaces to make the string s RBS.

Input
The only line contains a non empty string s, consisting of only opening and closing brackets of four kinds. The length of s does not exceed 106.

Output
If it’s impossible to get RBS from s print Impossible.

Otherwise print the least number of replaces needed to get RBS from s.

Examples
input
[<}){}
output
2
input
{()}[]
output
0
input
]]
output
Impossible

题的大致意思是输入的左括号可以变,而右括号不可以变,那么请你算一下至少要变多少次?
用stack,每次将左括号压进stack里面,遇到右括号就判断一下就好了
方法就很简单,看看栈最后是否还有,看看右括号的时候,左括号的栈是否为空。

代码如下:

#include <algorithm>#include<bits/stdc++.h>#include <cstdio>#include <math.h>#include <string.h>#include <stack>      //栈头文件#include <queue>      //队列头文件using namespace std;string s;stack<char> sta;int main(){    cin>>s;    int ans = 0;    for(int i=0;i<s.size();i++)    {        if(s[i]==']')        {            if(sta.empty())                return puts("Impossible");            if(sta.top()=='[')                sta.pop();            else            {                ans++;                sta.pop();            }        }        else if(s[i]==')')        {            if(sta.empty())                return puts("Impossible");            if(sta.top()=='(')                sta.pop();            else            {                ans++;                sta.pop();            }        }        else if(s[i]=='>')        {            if(sta.empty())                return puts("Impossible");            if(sta.top()=='<')                sta.pop();            else            {                ans++;                sta.pop();            }        }        else if(s[i]=='}')        {            if(sta.empty())                return puts("Impossible");            if(sta.top()=='{')                sta.pop();            else            {                ans++;                sta.pop();            }        }        else sta.push(s[i]);    }    if(!sta.empty()) return puts("Impossible");    printf("%d\n",ans);}
0 0