#include <stdio.h>
#include <stdlib.h>
int main() {
int n, m;
scanf("%d %d", &n, &m);
char* str1 = (char*)malloc((n+1) * sizeof(char));
char* str2 = (char*)malloc((m+1) * sizeof(char));
int dp[n + 1][m + 1];
scanf("%s", str1);
scanf("%s", str2);
for (int i = 0; i <= m; i++) {
dp[0][i] = 0;
}
for (int i = 0; i <= n; i++) {
dp[i][0] = 0;
}
for (int i = 1; i <= n; i++) {
for (int j = 1; j <= m; j++) {
if (str1[i - 1] == str2[j - 1]) {
dp[i][j] = dp[i - 1][j - 1] + 1;
} else {
dp[i][j] = dp[i - 1][j] > dp[i][j - 1] ? dp[i - 1][j] : dp[i][j - 1];
}
}
}
printf("%d",dp[n][m]);
return 0;
}