Solution:
public class Dsa {
public static void main(String[] args) {
String s1 = "ABCDAF";
String s2 = "ACBCF";
int lcsLength = LCS(s1, s2);
System.out.println("Length of Longest Common Subsequence: " + lcsLength);
}
public static int LCS(String s1, String s2) {
int n1 = s1.length();
int n2 = s2.length();
int dp[][] = new int[n1 + 1][n2 + 1];
for (int i = 1; i <= n1; i++) {
for (int j = 1; j <= n2; j++) {
if (s1.charAt(i - 1) == s2.charAt(j - 1))
dp[i][j] = 1 + dp[i - 1][j - 1];
else
dp[i][j] = Math.max(dp[i - 1][j], dp[i][j - 1]);
}
}
// to print lcs string
int i = n1, j = n2;
StringBuilder lcs = new StringBuilder();
while (i > 0 && j > 0) {
if (s1.charAt(i - 1) == s2.charAt(j - 1)) {
lcs.insert(0, s1.charAt(i - 1));
i--;
j--;
} else if (dp[i - 1][j] > dp[i][j - 1]) {
i--;
} else {
j--;
}
}
System.out.println(lcs.toString());
return dp[n1][n2]; //returns length of lcs string
}
}
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