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Add Sliding Window Problem (TheAlgorithms#4322)
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DIRECTORY.md

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* [Permutation](https://github.com/TheAlgorithms/Java/blob/master/src/main/java/com/thealgorithms/backtracking/Permutation.java)
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* [PowerSum](https://github.com/TheAlgorithms/Java/blob/master/src/main/java/com/thealgorithms/backtracking/PowerSum.java)
2020
* [WordSearch](https://github.com/TheAlgorithms/Java/blob/master/src/main/java/com/thealgorithms/backtracking/WordSearch.java)
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* bitmanipulation
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* [IsEven](https://github.com/TheAlgorithms/Java/blob/master/src/main/java/com/thealgorithms/bitmanipulation/IsEven.java)
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* [IsPowerTwo](https://github.com/TheAlgorithms/Java/blob/master/src/main/java/com/thealgorithms/bitmanipulation/IsPowerTwo.java)
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* [NumbersDifferentSigns](https://github.com/TheAlgorithms/Java/blob/master/src/main/java/com/thealgorithms/bitmanipulation/NumbersDifferentSigns.java)
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* [ReverseBits](https://github.com/TheAlgorithms/Java/blob/master/src/main/java/com/thealgorithms/bitmanipulation/ReverseBits.java)
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* ciphers
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* a5
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* [A5Cipher](https://github.com/TheAlgorithms/Java/blob/master/src/main/java/com/thealgorithms/ciphers/a5/A5Cipher.java)
@@ -128,6 +133,7 @@
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* [SearchSinglyLinkedListRecursion](https://github.com/TheAlgorithms/Java/blob/master/src/main/java/com/thealgorithms/datastructures/lists/SearchSinglyLinkedListRecursion.java)
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* [SinglyLinkedList](https://github.com/TheAlgorithms/Java/blob/master/src/main/java/com/thealgorithms/datastructures/lists/SinglyLinkedList.java)
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* [SkipList](https://github.com/TheAlgorithms/Java/blob/master/src/main/java/com/thealgorithms/datastructures/lists/SkipList.java)
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* [Node](https://github.com/TheAlgorithms/Java/blob/master/src/main/java/com/thealgorithms/datastructures/Node.java)
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* queues
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* [CircularQueue](https://github.com/TheAlgorithms/Java/blob/master/src/main/java/com/thealgorithms/datastructures/queues/CircularQueue.java)
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* [Deques](https://github.com/TheAlgorithms/Java/blob/master/src/main/java/com/thealgorithms/datastructures/queues/Deques.java)
@@ -182,7 +188,7 @@
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* [TrieImp](https://github.com/TheAlgorithms/Java/blob/master/src/main/java/com/thealgorithms/datastructures/trees/TrieImp.java)
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* [VerticalOrderTraversal](https://github.com/TheAlgorithms/Java/blob/master/src/main/java/com/thealgorithms/datastructures/trees/VerticalOrderTraversal.java)
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* [ZigzagTraversal](https://github.com/TheAlgorithms/Java/blob/master/src/main/java/com/thealgorithms/datastructures/trees/ZigzagTraversal.java)
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* utils
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* devutils
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* entities
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* [ProcessDetails](https://github.com/TheAlgorithms/Java/blob/master/src/main/java/com/thealgorithms/devutils/entities/ProcessDetails.java)
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* nodes
@@ -332,6 +338,7 @@
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* [SquareRootWithNewtonRaphsonMethod](https://github.com/TheAlgorithms/Java/blob/master/src/main/java/com/thealgorithms/maths/SquareRootWithNewtonRaphsonMethod.java)
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* [StandardDeviation](https://github.com/TheAlgorithms/Java/blob/master/src/main/java/com/thealgorithms/maths/StandardDeviation.java)
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* [StandardScore](https://github.com/TheAlgorithms/Java/blob/master/src/main/java/com/thealgorithms/maths/StandardScore.java)
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* [StrobogrammaticNumber](https://github.com/TheAlgorithms/Java/blob/master/src/main/java/com/thealgorithms/maths/StrobogrammaticNumber.java)
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* [SumOfArithmeticSeries](https://github.com/TheAlgorithms/Java/blob/master/src/main/java/com/thealgorithms/maths/SumOfArithmeticSeries.java)
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* [SumOfDigits](https://github.com/TheAlgorithms/Java/blob/master/src/main/java/com/thealgorithms/maths/SumOfDigits.java)
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* [SumWithoutArithmeticOperators](https://github.com/TheAlgorithms/Java/blob/master/src/main/java/com/thealgorithms/maths/SumWithoutArithmeticOperators.java)
@@ -389,6 +396,7 @@
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* [LowestBasePalindrome](https://github.com/TheAlgorithms/Java/blob/master/src/main/java/com/thealgorithms/others/LowestBasePalindrome.java)
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* [Luhn](https://github.com/TheAlgorithms/Java/blob/master/src/main/java/com/thealgorithms/others/Luhn.java)
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* [Mandelbrot](https://github.com/TheAlgorithms/Java/blob/master/src/main/java/com/thealgorithms/others/Mandelbrot.java)
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* [MaximumSumOfDistinctSubarraysWithLengthK](https://github.com/TheAlgorithms/Java/blob/master/src/main/java/com/thealgorithms/others/MaximumSumOfDistinctSubarraysWithLengthK.java)
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* [MemoryManagementAlgorithms](https://github.com/TheAlgorithms/Java/blob/master/src/main/java/com/thealgorithms/others/MemoryManagementAlgorithms.java)
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* [MiniMaxAlgorithm](https://github.com/TheAlgorithms/Java/blob/master/src/main/java/com/thealgorithms/others/MiniMaxAlgorithm.java)
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* [PageRank](https://github.com/TheAlgorithms/Java/blob/master/src/main/java/com/thealgorithms/others/PageRank.java)
@@ -527,6 +535,11 @@
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* [PermutationTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/backtracking/PermutationTest.java)
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* [PowerSumTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/backtracking/PowerSumTest.java)
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* [WordSearchTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/backtracking/WordSearchTest.java)
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* bitmanipulation
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* [IsEvenTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/bitmanipulation/IsEvenTest.java)
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* [IsPowerTwoTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/bitmanipulation/IsPowerTwoTest.java)
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* [NumbersDifferentSignsTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/bitmanipulation/NumbersDifferentSignsTest.java)
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* [ReverseBitsTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/bitmanipulation/ReverseBitsTest.java)
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* ciphers
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* a5
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* [LFSRTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/ciphers/a5/LFSRTest.java)
@@ -679,6 +692,7 @@
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* [SquareRootWithNewtonRaphsonTestMethod](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/maths/SquareRootWithNewtonRaphsonTestMethod.java)
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* [StandardDeviationTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/maths/StandardDeviationTest.java)
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* [StandardScoreTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/maths/StandardScoreTest.java)
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* [StrobogrammaticNumberTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/maths/StrobogrammaticNumberTest.java)
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* [SumOfArithmeticSeriesTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/maths/SumOfArithmeticSeriesTest.java)
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* [SumOfDigitsTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/maths/SumOfDigitsTest.java)
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* [SumWithoutArithmeticOperatorsTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/maths/SumWithoutArithmeticOperatorsTest.java)
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* [LineSweepTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/others/LineSweepTest.java)
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* [LinkListSortTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/others/LinkListSortTest.java)
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* [LowestBasePalindromeTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/others/LowestBasePalindromeTest.java)
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* [MaximumSumOfDistinctSubarraysWithLengthKTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/others/MaximumSumOfDistinctSubarraysWithLengthKTest.java)
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* [NewManShanksPrimeTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/others/NewManShanksPrimeTest.java)
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* [NextFitTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/others/NextFitTest.java)
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* [PasswordGenTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/others/PasswordGenTest.java)
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* searches
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* [BinarySearch2dArrayTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/searches/BinarySearch2dArrayTest.java)
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* [BreadthFirstSearchTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/searches/BreadthFirstSearchTest.java)
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* [DepthFirstSearchTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/searches/DepthFirstSearchTest.java)
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* [HowManyTimesRotatedTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/searches/HowManyTimesRotatedTest.java)
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* [KMPSearchTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/searches/KMPSearchTest.java)
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* [OrderAgnosticBinarySearchTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/searches/OrderAgnosticBinarySearchTest.java)
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* [CombSortTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/sorts/CombSortTest.java)
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* [DualPivotQuickSortTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/sorts/DualPivotQuickSortTest.java)
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* [DutchNationalFlagSortTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/sorts/DutchNationalFlagSortTest.java)
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* [GnomeSortTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/sorts/GnomeSortTest.java)
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* [HeapSortTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/sorts/HeapSortTest.java)
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* [InsertionSortTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/sorts/InsertionSortTest.java)
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* [IntrospectiveSortTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/sorts/IntrospectiveSortTest.java)
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* [MergeSortRecursiveTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/sorts/MergeSortRecursiveTest.java)
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* [MergeSortTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/sorts/MergeSortTest.java)
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* [OddEvenSortTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/sorts/OddEvenSortTest.java)
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* [PancakeSortTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/sorts/PancakeSortTest.java)
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* [QuickSortTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/sorts/QuickSortTest.java)
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* [SelectionSortTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/sorts/SelectionSortTest.java)
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* [ShellSortTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/sorts/ShellSortTest.java)
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package com.thealgorithms.others;
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import java.util.HashSet;
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/*
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References: https://en.wikipedia.org/wiki/Streaming_algorithm
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* In this model, the function of interest is computing over a fixed-size window in the stream. As the stream progresses,
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* items from the end of the window are removed from consideration while new items from the stream take their place.
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* @author Swarga-codes (https://github.com/Swarga-codes)
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*/
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public class MaximumSumOfDistinctSubarraysWithLengthK {
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/*
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* Returns the maximum sum of subarray of size K consisting of distinct
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* elements.
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*
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* @param k size of the subarray which should be considered from the given
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* array.
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*
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* @param nums is the array from which we would be finding the required
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* subarray.
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*
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* @return the maximum sum of distinct subarray of size K.
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*/
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public static long maximumSubarraySum(int k, int... nums) {
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if (nums.length < k) return 0;
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long max = 0; // this will store the max sum which will be our result
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long s = 0; // this will store the sum of every k elements which can be used to compare with
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// max
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HashSet<Integer> set = new HashSet<>(); // this can be used to store unique elements in our subarray
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// Looping through k elements to get the sum of first k elements
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for (int i = 0; i < k; i++) {
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s += nums[i];
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set.add(nums[i]);
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}
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// Checking if the first kth subarray contains unique elements or not if so then
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// we assign that to max
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if (set.size() == k) {
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max = s;
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}
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// Looping through the rest of the array to find different subarrays and also
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// utilising the sliding window algorithm to find the sum
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// in O(n) time complexity
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for (int i = 1; i < nums.length - k + 1; i++) {
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s = s - nums[i - 1];
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s = s + nums[i + k - 1];
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int j = i;
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boolean flag = false; // flag value which says that the subarray contains distinct elements
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while (j < i + k && set.size() < k) {
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if (nums[i - 1] == nums[j]) {
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flag = true;
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break;
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} else {
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j++;
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}
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}
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if (!flag) {
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set.remove(nums[i - 1]);
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}
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set.add(nums[i + k - 1]);
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// if the subarray contains distinct elements then we compare and update the max
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// value
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if (set.size() == k) {
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if (max < s) {
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max = s;
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}
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}
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}
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return max; // the final maximum sum
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}
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}
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package com.thealgorithms.others;
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import static org.junit.jupiter.api.Assertions.*;
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import org.junit.jupiter.api.Test;
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public class MaximumSumOfDistinctSubarraysWithLengthKTest {
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@Test
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public void SampleTestCase1() {
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assertEquals(15, MaximumSumOfDistinctSubarraysWithLengthK.maximumSubarraySum(3, 1, 5, 4, 2, 9, 9, 9));
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}
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@Test
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public void SampleTestCase2() {
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assertEquals(0, MaximumSumOfDistinctSubarraysWithLengthK.maximumSubarraySum(3, 4, 4, 4));
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}
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@Test
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public void SampleTestCase3() {
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assertEquals(12, MaximumSumOfDistinctSubarraysWithLengthK.maximumSubarraySum(3, 9, 9, 9, 1, 2, 3));
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}
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@Test
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public void EdgeCase1() {
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assertEquals(0, MaximumSumOfDistinctSubarraysWithLengthK.maximumSubarraySum(0, 9, 9, 9));
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}
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@Test
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public void EdgeCase2() {
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assertEquals(0, MaximumSumOfDistinctSubarraysWithLengthK.maximumSubarraySum(5, 9, 9, 9));
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}
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}

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