Create 1141_lijiecsu.cpp

From http://blog.csdn.net/lijiecsu/article/details/7589877

POJ/1141_lijiecsu.cpp

@@ -0,0 +1,87 @@
+#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;
+}