22. Generate Parentheses
Problem's Link
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Mean:
给定一个数n,输出由2*n个'('和')'组成的字符串,该字符串符合括号匹配规则.
analyse:
递归求解.
Time complexity: O(N)
view code
/**
* -----------------------------------------------------------------
* Copyright (c) 2016 crazyacking.All rights reserved.
* -----------------------------------------------------------------
* Author: crazyacking
* Date : 2016-02-17-17.58
*/
#include <queue>
#include <cstdio>
#include <set>
#include <string>
#include <stack>
#include <cmath>
#include <climits>
#include <map>
#include <cstdlib>
#include <iostream>
#include <vector>
#include <algorithm>
#include <cstring>
using namespace std;
typedef long long(LL);
typedef unsigned long long(ULL);
const double eps(1e-8);
class Solution
{
public:
vector<string> generateParenthesis(int n)
{
vector<string> res;
recursive(res,"",n,0);
return res;
}
void recursive(vector<string>& v,string str,int n,int m)
{
if(n==0 && m==0)
{
v.push_back(str);
return;
}
if(m>0)
recursive(v,str+")",n,m-1);
if(n>0)
recursive(v,str+"(",n-1,m+1);
}
};
int main()
{
Solution solution;
int n;
while(cin>>n)
{
auto ans=solution.generateParenthesis(n);
for(auto p:ans)
{
cout<<p<<endl;
}
cout<<"End."<<endl;
}
return 0;
}
/*
*/
* -----------------------------------------------------------------
* Copyright (c) 2016 crazyacking.All rights reserved.
* -----------------------------------------------------------------
* Author: crazyacking
* Date : 2016-02-17-17.58
*/
#include <queue>
#include <cstdio>
#include <set>
#include <string>
#include <stack>
#include <cmath>
#include <climits>
#include <map>
#include <cstdlib>
#include <iostream>
#include <vector>
#include <algorithm>
#include <cstring>
using namespace std;
typedef long long(LL);
typedef unsigned long long(ULL);
const double eps(1e-8);
class Solution
{
public:
vector<string> generateParenthesis(int n)
{
vector<string> res;
recursive(res,"",n,0);
return res;
}
void recursive(vector<string>& v,string str,int n,int m)
{
if(n==0 && m==0)
{
v.push_back(str);
return;
}
if(m>0)
recursive(v,str+")",n,m-1);
if(n>0)
recursive(v,str+"(",n-1,m+1);
}
};
int main()
{
Solution solution;
int n;
while(cin>>n)
{
auto ans=solution.generateParenthesis(n);
for(auto p:ans)
{
cout<<p<<endl;
}
cout<<"End."<<endl;
}
return 0;
}
/*
*/