#include <iostream>
#include <string>
#include <vector>
using namespace std;
int max(int a, int b)
{
return (a>b)? a:b;
}
int lcs(string &X, string &Y, int m, int n)
{
int biggest = 0;
vector<vector<int>> table(m+1,vector<int>(n+1));
for(int i=0; i<m+1; ++i)
{
for(int j=0; j<n+1; ++j)
{
if (i == 0 || j == 0)
table[i][j] = 0;
else if(X[i-1] == Y[j-1])
{
table[i][j] = table[i-1][j-1] + 1;
if(table[i][j] > biggest)
biggest = table[i][j];
}
else
table[i][j] = 0;
}
}
return biggest;
}
int main()
{
string X = "ABCBDAB";
string Y = "BDCABA";
cout << "The length of LCS is " << lcs(X, Y, X.length(), Y.length());
cout << endl;
getchar();
return 0;
}