Longest common subsequence TABULATION
import java.util.*;
public class LongestCommonSubsequenceTabulation {
public static int lcsTabulization(String str1, String str2, int n, int m) {
int dp[][] = new int[n + 1][m + 1];
for (int i = 0; i < n + 1; i++) {
for (int j = 0; j < m + 1; j++) {
if (i == 0 || j == 0) {
dp[i][j] = 0;
}
}
}
for (int i = 1; i < n + 1; i++) {
for (int j = 1; j < m + 1; j++) {
if (str1.charAt(i - 1) == str2.charAt(j - 1)) {
dp[i][j] = dp[i - 1][j - 1] + 1;
} else {
int ans1 = dp[i - 1][j];
int ans2 = dp[i][j - 1];
dp[i][j] = Math.max(ans1, ans2);
}
}
}
return dp[n][m];
}
public static void main(String[] args) {
Scanner sc = new Scanner(System.in);
System.out.println("enter string 1:");
String str1 = sc.nextLine();
System.out.println("Enter string 2:");
String str2 = sc.nextLine();
int n = str1.length();
int m = str2.length();
System.out.println("The longest common subsequence: " + lcsTabulization(str1, str2, n, m));
}
}
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