import java.util.Scanner;
// 注意类名必须为 Main, 不要有任何 package xxx 信息
public class Main {
public static void main(String[] args) {
Scanner in = new Scanner(System.in);
// 注意 hasNext 和 hasNextLine 的区别
int num1 = in.nextInt();
int num2 = in.nextInt();
String str1 = in.next();
String str2 = in.next();
int n1 = str1.length();
int n2 = str2.length();
int count = 0;
int[][] dp = new int[n1 + 1][n2 + 1];
for (int i = 1; i <= n1; i++) {
for (int j = 1; j <= n2; j++) {
if (str1.charAt(i - 1) == str2.charAt(j - 1)) {
dp[i][j] = dp[i - 1][j - 1] + 1;
} else {
dp[i][j] = Math.max(dp[i - 1][j], dp[i][j - 1]);
}
// System.out.println(i + " " + j + " " + dp[i][j]);
}
}
System.out.println(dp[n1][n2]);
}
}