refactor: MaximumSumOfDistinctSubarraysWithLengthK (#5433)

* refactor: MaximumSumOfDistinctSubarraysWithLengthK

* checkstyle: fix formatting

* checkstyle: fix formatting

* checkstyle: fix formatting

---------

Co-authored-by: alxkm <alx@alx.com>
This commit is contained in:
Alex Klymenko 2024-08-30 10:03:43 +02:00 committed by GitHub
parent cd38531b0d
commit c5b72816f3
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2 changed files with 48 additions and 63 deletions

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@ -1,55 +1,53 @@
package com.thealgorithms.others; package com.thealgorithms.others;
import java.util.HashSet; import java.util.HashSet;
import java.util.Set;
/* /**
References: https://en.wikipedia.org/wiki/Streaming_algorithm * References: https://en.wikipedia.org/wiki/Streaming_algorithm
* In this model, the function of interest is computing over a fixed-size window in the stream. As the stream progresses, *
* items from the end of the window are removed from consideration while new items from the stream take their place. * This model involves computing the maximum sum of subarrays of a fixed size \( K \) from a stream of integers.
* @author Swarga-codes (https://github.com/Swarga-codes) * As the stream progresses, elements from the end of the window are removed, and new elements from the stream are added.
*/ *
* @author Swarga-codes (https://github.com/Swarga-codes)
*/
public final class MaximumSumOfDistinctSubarraysWithLengthK { public final class MaximumSumOfDistinctSubarraysWithLengthK {
private MaximumSumOfDistinctSubarraysWithLengthK() { private MaximumSumOfDistinctSubarraysWithLengthK() {
} }
/*
* Returns the maximum sum of subarray of size K consisting of distinct /**
* elements. * Finds the maximum sum of a subarray of size K consisting of distinct elements.
* *
* @param k size of the subarray which should be considered from the given * @param k The size of the subarray.
* array. * @param nums The array from which subarrays will be considered.
* *
* @param nums is the array from which we would be finding the required * @return The maximum sum of any distinct-element subarray of size K. If no such subarray exists, returns 0.
* subarray.
*
* @return the maximum sum of distinct subarray of size K.
*/ */
public static long maximumSubarraySum(int k, int... nums) { public static long maximumSubarraySum(int k, int... nums) {
if (nums.length < k) { if (nums.length < k) {
return 0; return 0;
} }
long max = 0; // this will store the max sum which will be our result long masSum = 0; // Variable to store the maximum sum of distinct subarrays
long s = 0; // this will store the sum of every k elements which can be used to compare with long currentSum = 0; // Variable to store the sum of the current subarray
// max Set<Integer> currentSet = new HashSet<>(); // Set to track distinct elements in the current subarray
HashSet<Integer> set = new HashSet<>(); // this can be used to store unique elements in our subarray
// Looping through k elements to get the sum of first k elements // Initialize the first window
for (int i = 0; i < k; i++) { for (int i = 0; i < k; i++) {
s += nums[i]; currentSum += nums[i];
set.add(nums[i]); currentSet.add(nums[i]);
} }
// Checking if the first kth subarray contains unique elements or not if so then // If the first window contains distinct elements, update maxSum
// we assign that to max if (currentSet.size() == k) {
if (set.size() == k) { masSum = currentSum;
max = s;
} }
// Looping through the rest of the array to find different subarrays and also // Slide the window across the array
// utilising the sliding window algorithm to find the sum
// in O(n) time complexity
for (int i = 1; i < nums.length - k + 1; i++) { for (int i = 1; i < nums.length - k + 1; i++) {
s = s - nums[i - 1]; // Update the sum by removing the element that is sliding out and adding the new element
s = s + nums[i + k - 1]; currentSum = currentSum - nums[i - 1];
currentSum = currentSum + nums[i + k - 1];
int j = i; int j = i;
boolean flag = false; // flag value which says that the subarray contains distinct elements boolean flag = false; // flag value which says that the subarray contains distinct elements
while (j < i + k && set.size() < k) { while (j < i + k && currentSet.size() < k) {
if (nums[i - 1] == nums[j]) { if (nums[i - 1] == nums[j]) {
flag = true; flag = true;
break; break;
@ -58,17 +56,14 @@ public final class MaximumSumOfDistinctSubarraysWithLengthK {
} }
} }
if (!flag) { if (!flag) {
set.remove(nums[i - 1]); currentSet.remove(nums[i - 1]);
} }
set.add(nums[i + k - 1]); currentSet.add(nums[i + k - 1]);
// if the subarray contains distinct elements then we compare and update the max // If the current window has distinct elements, compare and possibly update maxSum
// value if (currentSet.size() == k && masSum < currentSum) {
if (set.size() == k) { masSum = currentSum;
if (max < s) {
max = s;
} }
} }
} return masSum; // the final maximum sum
return max; // the final maximum sum
} }
} }

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@ -2,31 +2,21 @@ package com.thealgorithms.others;
import static org.junit.jupiter.api.Assertions.assertEquals; import static org.junit.jupiter.api.Assertions.assertEquals;
import org.junit.jupiter.api.Test; import java.util.stream.Stream;
import org.junit.jupiter.params.ParameterizedTest;
import org.junit.jupiter.params.provider.Arguments;
import org.junit.jupiter.params.provider.MethodSource;
public class MaximumSumOfDistinctSubarraysWithLengthKTest { public class MaximumSumOfDistinctSubarraysWithLengthKTest {
@Test
public void sampleTestCase1() { @ParameterizedTest
assertEquals(15, MaximumSumOfDistinctSubarraysWithLengthK.maximumSubarraySum(3, 1, 5, 4, 2, 9, 9, 9)); @MethodSource("inputStream")
void testMaximumSubarraySum(int expected, int k, int[] arr) {
assertEquals(expected, MaximumSumOfDistinctSubarraysWithLengthK.maximumSubarraySum(k, arr));
} }
@Test private static Stream<Arguments> inputStream() {
public void sampleTestCase2() { return Stream.of(Arguments.of(15, 3, new int[] {1, 5, 4, 2, 9, 9, 9}), Arguments.of(0, 3, new int[] {4, 4, 4}), Arguments.of(12, 3, new int[] {9, 9, 9, 1, 2, 3}), Arguments.of(0, 0, new int[] {9, 9, 9}), Arguments.of(0, 5, new int[] {9, 9, 9}), Arguments.of(9, 1, new int[] {9, 2, 3, 7}),
assertEquals(0, MaximumSumOfDistinctSubarraysWithLengthK.maximumSubarraySum(3, 4, 4, 4)); Arguments.of(15, 5, new int[] {1, 2, 3, 4, 5}), Arguments.of(6, 3, new int[] {-1, 2, 3, 1, -2, 4}), Arguments.of(10, 1, new int[] {10}), Arguments.of(0, 2, new int[] {7, 7, 7, 7}), Arguments.of(0, 3, new int[] {}), Arguments.of(0, 10, new int[] {1, 2, 3}));
}
@Test
public void sampleTestCase3() {
assertEquals(12, MaximumSumOfDistinctSubarraysWithLengthK.maximumSubarraySum(3, 9, 9, 9, 1, 2, 3));
}
@Test
public void edgeCase1() {
assertEquals(0, MaximumSumOfDistinctSubarraysWithLengthK.maximumSubarraySum(0, 9, 9, 9));
}
@Test
public void edgeCase2() {
assertEquals(0, MaximumSumOfDistinctSubarraysWithLengthK.maximumSubarraySum(5, 9, 9, 9));
} }
} }