#include<iostream>
#include<stack>
using namespace std;
void LCS(int **,char[],int,char[],int);
void LCS_print(int **,stack<char>&,int ,char c[],int);
int main()
{
	char c1[]="xyxxzxyzxy";
	char c2[]="zxzyyzxxyxxz";
	int **c_array;
	stack<char> print;
	int i;
	c_array=new int*[11];;
	for(i=0;i<11;i++)c_array[i]=new int[13];
	for(i=0;i<11;i++)c_array[i][0]=0;
	for(i=0;i<13;i++)c_array[0][i]=0;
	LCS(c_array,c1,10,c2,12);
	LCS_print(c_array,print,10,c1,12);
	while(!print.empty())
	{
		cout<<print.top();
		print.pop();
	}
	return 0;
}
void LCS(int **group_array,char c1[],int number1,char c2[],int number2)
{
	int i,j;
	for(i=1;i<number1+1;i++)
		for(j=1;j<number2+1;j++)
			if(c1[i-1]==c2[j-1])
				group_array[i][j]=group_array[i-1][j-1]+1;
			else if(group_array[i-1][j]<group_array[i][j-1])
				group_array[i][j]=group_array[i][j-1];
			else 
				group_array[i][j]=group_array[i-1][j];
	cout<<c1<<"和"<<c2<<"最長公共子序列的長度為"<<group_array[number1-1][number2-1]<<endl;
}
void LCS_print(int **lcs,stack<char>&a,int number1,char c[],int number2)
{
	if(lcs[number1][number2]==0)return;
	if(lcs[number1-1][number2]==lcs[number1][number2])
		LCS_print(lcs,a,number1-1,c,number2);
	else if(lcs[number1][number2-1]==lcs[number1][number2])
		LCS_print(lcs,a,number1,c,number2-1);
	else {a.push(c[number1-1]);LCS_print(lcs,a,number1-1,c,number2-1);}
}