Java Longest Common Subsequence

Java program to find longest common subsequence.

text1 = "abaabbaaa"; 
text2 = "babab"; 

OUT:
Length = 4
Lcs = baba

// ? 2019 TheFlyingKeyboard and released under MIT License
// theflyingkeyboard.net
public class Main {

    public static void main(String[] args) {
        final String text1 = "abaabbaaa";
        final String text2 = "babab";

        int[][] lengths = new int[text1.length() + 1][text2.length() + 1];

        for(int i = 1; i < text1.length() + 1; ++i){
            for(int j = 1; j < text2.length() + 1; ++j){
                if(text1.charAt(i - 1) == text2.charAt(j - 1)){
                    lengths[i][j] = lengths[i - 1][j - 1] + 1;
                }else{
                    lengths[i][j] = max(lengths[i - 1][j], lengths[i][j - 1]);
                }
            }
        }

        System.out.println("Length = " + lengths[lengths.length - 1][lengths[0].length - 1]);

        int i = lengths.length - 1;
        int j = lengths[0].length - 1;

        String lcs = "";

        while (i > 0 && j > 0){
            if(text1.charAt(i - 1) == text2.charAt(j - 1)){
                lcs = text1.charAt(i - 1) + lcs;

                --i;
                --j;
            }else if(lengths[i - 1][j] > lengths[i][j - 1]){
                i--;
            }else{
                j--;
            }
        }

        System.out.println("Lcs = " + lcs);
    }

    private static int max(int a, int b){
        return a > b ? a : b;
    }
}