https://www.acmicpc.net/problem/9251
#include <iostream>
#include <string>
using namespace std;
int dp[1001][1001] = { 0, };
int main(void)
{
ios_base::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
string str1, str2;
cin >> str1 >> str2;
for (int i = 1; i <= str1.size(); i++)
{
for (int j = 1; j <= str2.size(); j++)
{
if (str1[i - 1] == str2[j - 1])
{
dp[i][j] = dp[i - 1][j - 1] + 1;
}
else
{
dp[i][j] = max(dp[i - 1][j], dp[i][j - 1]);
}
}
}
cout << dp[str1.size()][str2.size()];
return 0;
}