refactor: clean up duplicate algorithm implementations to reduce maintenance overhead (#7256)

refactor: remove duplicate algorithm implementations

Removed the following duplicate implementations:
- searches/PerfectBinarySearch.java (duplicate of IterativeBinarySearch)
- searches/SortOrderAgnosticBinarySearch.java (duplicate of OrderAgnosticBinarySearch)
- strings/LongestPalindromicSubstring.java (duplicate of dynamicprogramming version)
- strings/ValidParentheses.java (duplicate of stacks version)
- others/cn/HammingDistance.java (duplicate - strings version handles text)
- others/NewManShanksPrimeTest.java (orphan test in wrong package)

Updated DIRECTORY.md to reflect the changes.

Fixes #7253

Co-authored-by: Ahmed Allam <60698204+AllamF5J@users.noreply.github.com>

Author: GziXnine

DIRECTORY.md

@@ -626,8 +626,6 @@
           - 📄 [SkylineProblem](src/main/java/com/thealgorithms/others/SkylineProblem.java)
           - 📄 [TwoPointers](src/main/java/com/thealgorithms/others/TwoPointers.java)
           - 📄 [Verhoeff](src/main/java/com/thealgorithms/others/Verhoeff.java)
-          - 📁 **cn**
-            - 📄 [HammingDistance](src/main/java/com/thealgorithms/others/cn/HammingDistance.java)
         - 📁 **physics**
           - 📄 [CoulombsLaw](src/main/java/com/thealgorithms/physics/CoulombsLaw.java)
           - 📄 [DampedOscillator](src/main/java/com/thealgorithms/physics/DampedOscillator.java)
@@ -701,7 +699,6 @@
           - 📄 [LowerBound](src/main/java/com/thealgorithms/searches/LowerBound.java)
           - 📄 [MonteCarloTreeSearch](src/main/java/com/thealgorithms/searches/MonteCarloTreeSearch.java)
           - 📄 [OrderAgnosticBinarySearch](src/main/java/com/thealgorithms/searches/OrderAgnosticBinarySearch.java)
-          - 📄 [PerfectBinarySearch](src/main/java/com/thealgorithms/searches/PerfectBinarySearch.java)
           - 📄 [QuickSelect](src/main/java/com/thealgorithms/searches/QuickSelect.java)
           - 📄 [RabinKarpAlgorithm](src/main/java/com/thealgorithms/searches/RabinKarpAlgorithm.java)
           - 📄 [RandomSearch](src/main/java/com/thealgorithms/searches/RandomSearch.java)
@@ -710,7 +707,6 @@
           - 📄 [SaddlebackSearch](src/main/java/com/thealgorithms/searches/SaddlebackSearch.java)
           - 📄 [SearchInARowAndColWiseSortedMatrix](src/main/java/com/thealgorithms/searches/SearchInARowAndColWiseSortedMatrix.java)
           - 📄 [SentinelLinearSearch](src/main/java/com/thealgorithms/searches/SentinelLinearSearch.java)
-          - 📄 [SortOrderAgnosticBinarySearch](src/main/java/com/thealgorithms/searches/SortOrderAgnosticBinarySearch.java)
           - 📄 [SquareRootBinarySearch](src/main/java/com/thealgorithms/searches/SquareRootBinarySearch.java)
           - 📄 [TernarySearch](src/main/java/com/thealgorithms/searches/TernarySearch.java)
           - 📄 [UnionFind](src/main/java/com/thealgorithms/searches/UnionFind.java)
@@ -817,7 +813,6 @@
           - 📄 [LetterCombinationsOfPhoneNumber](src/main/java/com/thealgorithms/strings/LetterCombinationsOfPhoneNumber.java)
           - 📄 [LongestCommonPrefix](src/main/java/com/thealgorithms/strings/LongestCommonPrefix.java)
           - 📄 [LongestNonRepetitiveSubstring](src/main/java/com/thealgorithms/strings/LongestNonRepetitiveSubstring.java)
-          - 📄 [LongestPalindromicSubstring](src/main/java/com/thealgorithms/strings/LongestPalindromicSubstring.java)
           - 📄 [Lower](src/main/java/com/thealgorithms/strings/Lower.java)
           - 📄 [Manacher](src/main/java/com/thealgorithms/strings/Manacher.java)
           - 📄 [MyAtoi](src/main/java/com/thealgorithms/strings/MyAtoi.java)
@@ -834,7 +829,6 @@
           - 📄 [StringMatchFiniteAutomata](src/main/java/com/thealgorithms/strings/StringMatchFiniteAutomata.java)
           - 📄 [SuffixArray](src/main/java/com/thealgorithms/strings/SuffixArray.java)
           - 📄 [Upper](src/main/java/com/thealgorithms/strings/Upper.java)
-          - 📄 [ValidParentheses](src/main/java/com/thealgorithms/strings/ValidParentheses.java)
           - 📄 [WordLadder](src/main/java/com/thealgorithms/strings/WordLadder.java)
           - 📄 [ZAlgorithm](src/main/java/com/thealgorithms/strings/ZAlgorithm.java)
           - 📁 **zigZagPattern**
@@ -1395,7 +1389,6 @@
           - 📄 [MaximumSumOfDistinctSubarraysWithLengthKTest](src/test/java/com/thealgorithms/others/MaximumSumOfDistinctSubarraysWithLengthKTest.java)
           - 📄 [MiniMaxAlgorithmTest](src/test/java/com/thealgorithms/others/MiniMaxAlgorithmTest.java)
           - 📄 [MosAlgorithmTest](src/test/java/com/thealgorithms/others/MosAlgorithmTest.java)
-          - 📄 [NewManShanksPrimeTest](src/test/java/com/thealgorithms/others/NewManShanksPrimeTest.java)
           - 📄 [NextFitTest](src/test/java/com/thealgorithms/others/NextFitTest.java)
           - 📄 [PageRankTest](src/test/java/com/thealgorithms/others/PageRankTest.java)
           - 📄 [PasswordGenTest](src/test/java/com/thealgorithms/others/PasswordGenTest.java)
@@ -1404,8 +1397,6 @@
           - 📄 [SkylineProblemTest](src/test/java/com/thealgorithms/others/SkylineProblemTest.java)
           - 📄 [TwoPointersTest](src/test/java/com/thealgorithms/others/TwoPointersTest.java)
           - 📄 [WorstFitCPUTest](src/test/java/com/thealgorithms/others/WorstFitCPUTest.java)
-          - 📁 **cn**
-            - 📄 [HammingDistanceTest](src/test/java/com/thealgorithms/others/cn/HammingDistanceTest.java)
         - 📁 **physics**
           - 📄 [CoulombsLawTest](src/test/java/com/thealgorithms/physics/CoulombsLawTest.java)
           - 📄 [DampedOscillatorTest](src/test/java/com/thealgorithms/physics/DampedOscillatorTest.java)
@@ -1479,7 +1470,6 @@
           - 📄 [LowerBoundTest](src/test/java/com/thealgorithms/searches/LowerBoundTest.java)
           - 📄 [MonteCarloTreeSearchTest](src/test/java/com/thealgorithms/searches/MonteCarloTreeSearchTest.java)
           - 📄 [OrderAgnosticBinarySearchTest](src/test/java/com/thealgorithms/searches/OrderAgnosticBinarySearchTest.java)
-          - 📄 [PerfectBinarySearchTest](src/test/java/com/thealgorithms/searches/PerfectBinarySearchTest.java)
           - 📄 [QuickSelectTest](src/test/java/com/thealgorithms/searches/QuickSelectTest.java)
           - 📄 [RabinKarpAlgorithmTest](src/test/java/com/thealgorithms/searches/RabinKarpAlgorithmTest.java)
           - 📄 [RandomSearchTest](src/test/java/com/thealgorithms/searches/RandomSearchTest.java)
@@ -1488,7 +1478,6 @@
           - 📄 [SaddlebackSearchTest](src/test/java/com/thealgorithms/searches/SaddlebackSearchTest.java)
           - 📄 [SearchInARowAndColWiseSortedMatrixTest](src/test/java/com/thealgorithms/searches/SearchInARowAndColWiseSortedMatrixTest.java)
           - 📄 [SentinelLinearSearchTest](src/test/java/com/thealgorithms/searches/SentinelLinearSearchTest.java)
-          - 📄 [SortOrderAgnosticBinarySearchTest](src/test/java/com/thealgorithms/searches/SortOrderAgnosticBinarySearchTest.java)
           - 📄 [SquareRootBinarySearchTest](src/test/java/com/thealgorithms/searches/SquareRootBinarySearchTest.java)
           - 📄 [TernarySearchTest](src/test/java/com/thealgorithms/searches/TernarySearchTest.java)
           - 📄 [TestSearchInARowAndColWiseSortedMatrix](src/test/java/com/thealgorithms/searches/TestSearchInARowAndColWiseSortedMatrix.java)
@@ -1593,7 +1582,6 @@
           - 📄 [LetterCombinationsOfPhoneNumberTest](src/test/java/com/thealgorithms/strings/LetterCombinationsOfPhoneNumberTest.java)
           - 📄 [LongestCommonPrefixTest](src/test/java/com/thealgorithms/strings/LongestCommonPrefixTest.java)
           - 📄 [LongestNonRepetitiveSubstringTest](src/test/java/com/thealgorithms/strings/LongestNonRepetitiveSubstringTest.java)
-          - 📄 [LongestPalindromicSubstringTest](src/test/java/com/thealgorithms/strings/LongestPalindromicSubstringTest.java)
           - 📄 [LowerTest](src/test/java/com/thealgorithms/strings/LowerTest.java)
           - 📄 [ManacherTest](src/test/java/com/thealgorithms/strings/ManacherTest.java)
           - 📄 [MyAtoiTest](src/test/java/com/thealgorithms/strings/MyAtoiTest.java)
@@ -1609,7 +1597,6 @@
           - 📄 [StringMatchFiniteAutomataTest](src/test/java/com/thealgorithms/strings/StringMatchFiniteAutomataTest.java)
           - 📄 [SuffixArrayTest](src/test/java/com/thealgorithms/strings/SuffixArrayTest.java)
           - 📄 [UpperTest](src/test/java/com/thealgorithms/strings/UpperTest.java)
-          - 📄 [ValidParenthesesTest](src/test/java/com/thealgorithms/strings/ValidParenthesesTest.java)
           - 📄 [WordLadderTest](src/test/java/com/thealgorithms/strings/WordLadderTest.java)
           - 📄 [ZAlgorithmTest](src/test/java/com/thealgorithms/strings/ZAlgorithmTest.java)
           - 📁 **zigZagPattern**