refactor: PalindromicPartitioning
(#5419)
refactor: PalindromicPartitioning Co-authored-by: alxkm <alx@alx.com>
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package com.thealgorithms.dynamicprogramming;
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import java.util.Scanner;
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/**
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* @file @brief Implements [Palindrome
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* Partitioning](https://leetcode.com/problems/palindrome-partitioning-ii/)
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* algorithm, giving you the minimum number of partitions you need to make
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* Provides functionality to solve the Palindrome Partitioning II problem, which involves finding
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* the minimum number of partitions needed to divide a given string into palindromic substrings.
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*
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* @details palindrome partitioning uses dynamic programming and goes to all the
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* possible partitions to find the minimum you are given a string and you need
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* to give minimum number of partitions needed to divide it into a number of
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* palindromes [Palindrome Partitioning]
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* (https://www.geeksforgeeks.org/palindrome-partitioning-dp-17/) overall time
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* complexity O(n^2) For example: example 1:- String : "nitik" Output : 2 => "n
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* | iti | k" For example: example 2:- String : "ababbbabbababa" Output : 3 =>
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* "aba | b | bbabb | ababa"
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* @author [Syed] (https://github.com/roeticvampire)
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* <p>
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* The problem is solved using dynamic programming. The approach involves checking all possible
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* substrings and determining whether they are palindromes. The minimum number of cuts required
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* for palindrome partitioning is computed in a bottom-up manner.
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* </p>
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*
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* <p>
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* Example:
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* <ul>
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* <li>Input: "nitik" => Output: 2 (Partitioning: "n | iti | k")</li>
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* <li>Input: "ababbbabbababa" => Output: 3 (Partitioning: "aba | b | bbabb | ababa")</li>
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* </ul>
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* </p>
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*
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* @see <a href="https://leetcode.com/problems/palindrome-partitioning-ii/">Palindrome Partitioning II</a>
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* @see <a href="https://www.geeksforgeeks.org/palindrome-partitioning-dp-17/">Palindrome Partitioning (GeeksforGeeks)</a>
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*/
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public final class PalindromicPartitioning {
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private PalindromicPartitioning() {
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}
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public static int minimalpartitions(String word) {
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public static int minimalPartitions(String word) {
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int len = word.length();
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/* We Make two arrays to create a bottom-up solution.
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minCuts[i] = Minimum number of cuts needed for palindrome partitioning of substring
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@ -76,15 +80,4 @@ public final class PalindromicPartitioning {
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// string. i.e., str[0..n-1]
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return minCuts[len - 1];
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}
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public static void main(String[] args) {
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Scanner input = new Scanner(System.in);
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String word;
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System.out.println("Enter the First String");
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word = input.nextLine();
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// ans stores the final minimal cut count needed for partitioning
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int ans = minimalpartitions(word);
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System.out.println("The minimum cuts needed to partition \"" + word + "\" into palindromes is " + ans);
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input.close();
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}
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}
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@ -0,0 +1,21 @@
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package com.thealgorithms.dynamicprogramming;
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import static org.junit.jupiter.api.Assertions.assertEquals;
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import java.util.stream.Stream;
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import org.junit.jupiter.params.ParameterizedTest;
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import org.junit.jupiter.params.provider.Arguments;
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import org.junit.jupiter.params.provider.MethodSource;
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public class PalindromicPartitioningTest {
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private static Stream<Arguments> provideTestCases() {
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return Stream.of(Arguments.of("a", 0), Arguments.of("aa", 0), Arguments.of("ab", 1), Arguments.of("ababbbabbababa", 3), Arguments.of("abcde", 4), Arguments.of("abacdcaba", 0));
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}
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@ParameterizedTest
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@MethodSource("provideTestCases")
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public void testMinimalPartitions(String input, int expected) {
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assertEquals(expected, PalindromicPartitioning.minimalPartitions(input));
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}
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}
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