#include <iostream>
#define N 1010
using namespace std;
int dp[N][N];
int main() {
int m, n;
char s1[N], s2[N];
scanf("%d%d", &n, &m);
scanf("%s%s", s1, s2);
for (int i = 0; i <= n; i++) { //0-n要包含n
for (int j = 0; j <= m; ++j) {
if (i == 0 || j == 0) {
dp[i][j] = 0;
continue;
} else {
if (s1[i - 1] == s2[j - 1]) {
dp[i][j] = dp[i - 1][j - 1] + 1;
} else {
dp[i][j] = max(dp[i - 1][j], dp[i][j - 1]);
}
}
}
}
printf("%d\n", dp[n][m]);
return 0;
}



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