当前位置: 代码迷 >> 综合 >> Codeforces Round #138 (Div. 1) A. Bracket Sequence
  详细解决方案

Codeforces Round #138 (Div. 1) A. Bracket Sequence

热度:7   发布时间:2024-01-12 20:20:54.0

 题目链接:

http://codeforces.com/problemset/problem/223/A

A. Bracket Sequence

A bracket sequence is a string, containing only characters "(", ")", "[" and "]".

A correct bracket sequence is a bracket sequence that can be transformed into a correct arithmetic expression by inserting characters "1" and "+" between the original characters of the sequence. For example, bracket sequences "()[]", "([])" are correct (the resulting expressions are: "(1)+[1]", "([1+1]+1)"), and "](" and "[" are not. The empty string is a correct bracket sequence by definition.

A substring s[l... r] (1?≤?l?≤?r?≤?|s|) of string s?=?s1s2... s|s| (where |s| is the length of string s) is the string slsl?+?1... sr. The empty string is a substring of any string by definition.

You are given a bracket sequence, not necessarily correct. Find its substring which is a correct bracket sequence and contains as many opening square brackets ?[? as possible.

Input

The first and the only line contains the bracket sequence as a string, consisting only of characters "(", ")", "[" and "]". It is guaranteed that the string is non-empty and its length doesn't exceed 105 characters.

Output

In the first line print a single integer — the number of brackets ?[? in the required bracket sequence. In the second line print the optimal sequence. If there are more than one optimal solutions print any of them.

Examples

input

Copy

([])

output

Copy

1
([])

input

Copy

(((

output

Copy

0

题意:给出一个括号序列,要求寻找这个序列的子串,要求这个子串是一个匹配的括号序列,而且其中包含 [] 的个数最多

思路:栈

利用栈对括号进行匹配,不断的入栈出栈,最后使得所有不匹配的括号位置都在栈中,然后分别对栈中不匹配的位置进行分段统计,统计序列中每一段匹配位置中 [] 的个数,最后记录个数最多的值

以 ([[]]([] 为例,将括号序列与序列长度依次压入栈中,将序列长度压入栈中是为了便于统计序列最后一段

有:

 

栈中元素 0 1 2 3 4 5 6 7 8(len)
对应含义 ( [ [ ] ] ( [ ] 序列长度

匹配完毕后:

栈中元素 0 5 8(len)
对应含义 ( ( 序列长度

每次出栈两个元素,分别统计原序列区间 [1,4]、[6,7] 匹配字段中 [] 的个数,更新最大值

 This is the code:

#include<algorithm>
#include<cstdio>
#include<cstring>
#include<cmath>
#include<cstdlib>
#include<iostream>
#include<iomanip>
#include<list>
#include<map>
#include<queue>
#include<sstream>
#include<stack>
#include<string>
#include<set>
#include<vector>
using namespace std;
#define PI acos(-1.0)
#define pppp cout<<endl;
#define EPS 1e-8
#define LL long long
#define ULL unsigned long long     //1844674407370955161
#define INT_INF 0x3f3f3f3f      //1061109567
#define LL_INF 0x3f3f3f3f3f3f3f3f //4557430888798830399
// ios::sync_with_stdio(false);
// 那么cin, 就不能跟C的 scanf,sscanf, getchar, fgets之类的一起使用了。
const int dr[]= {0, 0, -1, 1, -1, -1, 1, 1};
const int dc[]= {-1, 1, 0, 0, -1, 1, -1, 1};
int read()//输入外挂
{int ret=0, flag=0;char ch;if((ch=getchar())=='-')flag=1;else if(ch>='0'&&ch<='9')ret = ch - '0';while((ch=getchar())>='0'&&ch<='9')ret=ret*10+(ch-'0');return flag ? -ret : ret;
}
const int maxn=500000+5;
stack<int> S;
int a[maxn];
void cal(string str)
{for(int i=0; i<len; i++){if(str[i]=='[')a[i]=-1;else if(str[i]=='(')a[i]=-2;else if(str[i]==']')a[i]=1;else if(str[i]==')')a[i]=2;}for(int i=0; i<len; i++){if(S.empty()||a[i]==-1||a[i]==-2)S.push(i);else if((a[i]+a[S.top()])==0)S.pop();elseS.push(i);}
}
int main()
{string str;cin>>str;cal(str);int len=str.size();int left,right;S.push(len);int res=0;int start,endd;while(!S.empty()){if(S.size()!=1){int temp=S.top();S.pop();right=temp-1;temp=S.top();left=temp+1;}else{int temp=S.top();S.pop();right=temp-1;left=0;}int minn=0;for(int i=left; i<=right; i++)if(str[i]=='[')minn++;if(minn>res){res=minn;start=left;endd=right;}}printf("%d\n",res);if(res!=0)for(int i=start; i<=endd; i++)cout<<str[i];return 0;
}

 

  相关解决方案