/* dp[i][j]表示s[i]~s[j]的字符串 状态转移方程: dp[i][j] = dp[i - 1][j - 1] + 1, s[i] == s[j] dp[i][j] = max(dp[i - 1][j], dp[i][j - 1]), s[i] != s[j] 边界: dp[i][0] = 0, 1 <= i <= m dp[0][j] = 0, 1 <= j <= n */ #include <algorithm> #include <cstdio> #include <cstring> using namespace std; const int N = 110; char s1[N], s2[N]; int dp[N][N]; int main(){ gets(s1 + 1); gets(s2 + 1); int m = strlen(s1 + 1), n = strlen(s2 + 1); for(int i = 1; i <= m; i++){ for(int j = 1; j <= n; j++){ if(s1[i] == s2[j]) 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[m][n]); return 0; }