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Original file line number Diff line number Diff line change
@@ -1,58 +1,42 @@
package com.thealgorithms.dynamicprogramming;

/**
* Algorithm explanation
* https://www.educative.io/edpresso/longest-palindromic-subsequence-algorithm
* Longest Palindromic Subsequence algorithm.
* A palindromic subsequence is a subsequence that reads the same forwards and backwards.
* This implementation finds the longest such subsequence by computing the LCS of the
* original string and its reverse.
*
* @see <a href="https://en.wikipedia.org/wiki/Longest_palindromic_subsequence">Wikipedia</a>
*/
public final class LongestPalindromicSubsequence {
private LongestPalindromicSubsequence() {
}

public static void main(String[] args) {
String a = "BBABCBCAB";
String b = "BABCBAB";

String aLPS = lps(a);
String bLPS = lps(b);

System.out.println(a + " => " + aLPS);
System.out.println(b + " => " + bLPS);
}

public static String lps(String original) throws IllegalArgumentException {
StringBuilder reverse = new StringBuilder(original);
reverse = reverse.reverse();
return recursiveLPS(original, reverse.toString());
/**
* Returns the longest palindromic subsequence of the given string.
*
* @param original the input string
* @return the longest palindromic subsequence
* @throws IllegalArgumentException if the input string is null
*/
public static String lps(String original) {
if (original == null) {
throw new IllegalArgumentException("Input string must not be null");
}
String reverse = new StringBuilder(original).reverse().toString();
return recursiveLPS(original, reverse);
}

private static String recursiveLPS(String original, String reverse) {
String bestResult = "";

// no more chars, then return empty
if (original.length() == 0 || reverse.length() == 0) {
bestResult = "";
} else {
// if the last chars match, then remove it from both strings and recur
if (original.charAt(original.length() - 1) == reverse.charAt(reverse.length() - 1)) {
String bestSubResult = recursiveLPS(original.substring(0, original.length() - 1), reverse.substring(0, reverse.length() - 1));

bestResult = reverse.charAt(reverse.length() - 1) + bestSubResult;
} else {
// otherwise (1) ignore the last character of reverse, and recur on original and
// updated reverse again (2) ignore the last character of original and recur on the
// updated original and reverse again then select the best result from these two
// subproblems.

String bestSubResult1 = recursiveLPS(original, reverse.substring(0, reverse.length() - 1));
String bestSubResult2 = recursiveLPS(original.substring(0, original.length() - 1), reverse);
if (bestSubResult1.length() > bestSubResult2.length()) {
bestResult = bestSubResult1;
} else {
bestResult = bestSubResult2;
}
}
if (original.isEmpty() || reverse.isEmpty()) {
return "";
}

return bestResult;
if (original.charAt(original.length() - 1) == reverse.charAt(reverse.length() - 1)) {
String bestSubResult = recursiveLPS(original.substring(0, original.length() - 1), reverse.substring(0, reverse.length() - 1));
return reverse.charAt(reverse.length() - 1) + bestSubResult;
}
String sub1 = recursiveLPS(original, reverse.substring(0, reverse.length() - 1));
String sub2 = recursiveLPS(original.substring(0, original.length() - 1), reverse);
return sub1.length() >= sub2.length() ? sub1 : sub2;
}
}
Original file line number Diff line number Diff line change
@@ -0,0 +1,54 @@
package com.thealgorithms.dynamicprogramming;

import static org.junit.jupiter.api.Assertions.assertEquals;
import static org.junit.jupiter.api.Assertions.assertThrows;

import org.junit.jupiter.api.Test;
import org.junit.jupiter.params.ParameterizedTest;
import org.junit.jupiter.params.provider.CsvSource;

public class LongestPalindromicSubsequenceTest {

@ParameterizedTest
@CsvSource({"BBABCBCAB, BACBCAB", "BABCBAB, BABCBAB", "A, A", "AA, AA", "AB, B"})
void testLpsKnownCases(String input, String expectedLps) {
assertEquals(expectedLps, LongestPalindromicSubsequence.lps(input));
}

@Test
void testLpsEmptyString() {
assertEquals("", LongestPalindromicSubsequence.lps(""));
}

@Test
void testLpsSingleCharacter() {
assertEquals("Z", LongestPalindromicSubsequence.lps("Z"));
}

@Test
void testLpsAllSameCharacters() {
assertEquals("AAAA", LongestPalindromicSubsequence.lps("AAAA"));
}

@Test
void testLpsAlreadyPalindrome() {
assertEquals("RACECAR", LongestPalindromicSubsequence.lps("RACECAR"));
}

@Test
void testLpsNoRepeatingCharacters() {
assertEquals(1, LongestPalindromicSubsequence.lps("ABCDE").length());
}

@Test
void testLpsNullThrowsException() {
assertThrows(IllegalArgumentException.class, () -> { LongestPalindromicSubsequence.lps(null); });
}

@Test
void testLpsResultIsActuallyPalindrome() {
String result = LongestPalindromicSubsequence.lps("BBABCBCAB");
String reversed = new StringBuilder(result).reverse().toString();
assertEquals(result, reversed);
}
}
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