OJ-Problems-Source/POJ/1141_lijiecsu.cpp

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#include<iostream>
#include<cstring>
using namespace std;
int d[100][100]; //d[i][j]表示输入字符串从下标i到下标j至少需要加的括号数
int c[100][100]={-1}; //c[i][j]表示从下标i到下标j的子串分割的下标-1表示不分割
int len; //输入括号串的长度
string s; //输入的括号串
void dp()
{
int i,j,k,l;
int min;
for(i=0; i<len; i++) d[i][i]=1;
for(l=1; l<len; ++l)
for(i=0; i+l<len; ++i)
{
j=i+l;
min=d[i][i]+d[i+1][j];
c[i][j]=i;
for(k=i+1; k<j; k++)
{
if(d[i][k]+d[k+1][j]<min)
{
min=d[i][k]+d[k+1][j];
c[i][j]=k;
}
}
d[i][j]=min;
if(s[i]=='(' && s[j]==')' || s[i]=='[' && s[j]==']')
{
if(d[i+1][j-1] < min)
{
d[i][j]=d[i+1][j-1];
c[i][j]=-1;
}
}
}
}
void print(int i, int j) //打印结果
{
if(i>j) return;
if(i==j)
{
if(s[i]=='(' || s[i]==')') cout<<"()";
else cout<<"[]";
}
else
{
if(c[i][j]>=0) //从i到j从c[i][j]处分割
{
print(i, c[i][j]);
print(c[i][j]+1, j);
}
else
{
if(s[i]=='(')
{
cout<<"(";
print(i+1, j-1);
cout<<")";
}
else
{
cout<<"[";
print(i+1, j-1);
cout<<"]";
}
}
}
}
int main()
{
cin>>s; //输入括号序列
len=s.size();
dp();
print(0, len-1);
cout<<endl;
return 0;
}