items = list (map (int, input ().split ())) items.sort () left = items [:M] right = items [M:] print (sum (right)-sum (left)) Not working when my input array is {100, 100, 150} and M = 2; Its giving me answer 50. Count minimum number of subsets (or subsequences) with consecutive numbers, Count sub-sets that satisfy the given condition, Perfect Sum Problem (Print all subsets with given sum), Recursive program to print all subsets with given sum, Program to reverse a string (Iterative and Recursive), Print reverse of a string using recursion, Write a program to print all Permutations of given String, Print all distinct permutations of a given string with duplicates, All permutations of an array using STL in C++, std::next_permutation and prev_permutation in C++, Lexicographically Next Permutation in C++. How were Acorn Archimedes used outside education? 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A-143, 9th Floor, Sovereign Corporate Tower, We use cookies to ensure you have the best browsing experience on our website. You have to make two subsets such that the difference of the sum of their elements is maximum and both of them jointly contain all elements of the given array along with the most important condition, no subset should contain repetitive elements. Note: The subsets cannot any common element. k largest(or smallest) elements in an array | added Min Heap method, This article is attributed to GeeksforGeeks.org. This article is contributed by Shivam Pradhan (anuj_charm). Enjoy unlimited access on 5500+ Hand Picked Quality Video Courses. The array may contain repetitive elements but the highest frequency of any element must not exceed two. Input: arr[] = {1, -5, 3, 2, -7}Output: 18Explanation: The partitions {1, 3, 2} and {-5, -7} maximizes the difference between the subsets. Below is the implementation of the above approach: C++ Java Python3 C# PHP Javascript #include <bits/stdc++.h> using namespace std; int maxAbsDiff (int arr [], int n) { int minEle = arr [0]; We are going to store it in the map (making it a positive number) with its number of occurrences. What is the difference between Python's list methods append and extend? Note that another optimal solution is to partition nums into the two subsequences [1] and [2,3]. We make use of First and third party cookies to improve our user experience. Affordable solution to train a team and make them project ready. In list [1,2,3,4,5] the maximum difference is 4 (between elements 1 and 5) using for loops. How to split a string in C/C++, Python and Java? So, abs (8- (-11)) or abs (-11-8) = 19. For making the difference of sum of elements of both subset maximum we have to make subset in such a way that all positive elements belongs to one subset and negative ones to other subset. So we have to put at least one element in both of them. Looking to protect enchantment in Mono Black, How Could One Calculate the Crit Chance in 13th Age for a Monk with Ki in Anydice? 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Find Sum of all unique sub-array sum for a given array. And for this, we can conclude that all such elements whose frequency are 2, going to be part of both subsets, and hence overall they dont have any impact on the difference of subset-sum. Given an array of n integers and a number m, find the maximum possible difference between two sets of m elements chosen from given array. What is the difference between public, protected, package-private and private in Java? How to automatically classify a sentence or text based on its context? 528), Microsoft Azure joins Collectives on Stack Overflow. Double-sided tape maybe? After getting the sum of all positive and negative elements condition followed that elements having frequency 1 only, we need to return the difference of both the sums and that would be our answer. The minimum four elements are 1, 2, 3 and 4. The difference between the maximum and minimum value in the second subsequence is 3 - 3 = 0. By using our site, you Approach: This problem can be solved using greedy approach. https://www.geeksforgeeks.org/maximum-possible-difference-two-subsets-array/, n , 2 , . k-th distinct (or non-repeating) element among unique elements in an array. Explanation Here the highest 3 numbers are 3,4,5 and the sum is 12. 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For example, Consider the array [1, 2, 3, 4], There are 10 non-empty sub-arrays. This program needs to output the location of these two elements (0 and 4) and their values (1 and 5). It contains well written, well thought and well explained computer science and programming articles, quizzes and practice/competitive programming/company interview Questions. Approach: The given problem can be solved with the help of the Greedy Approach using the Sliding Window Technique. Here we will first sort the elements of array arr[]. A Computer Science portal for geeks. no larger element appears after the smaller element. Lets now understand what we have to do using an example . Hashing provides an efficient way to solve this question. By using our site, you Wall shelves, hooks, other wall-mounted things, without drilling? Given a set of integers (range 0-500), find the minimum difference between the sum of two subsets that can be formed by splitting them almost equally. One needs to make two subsets out of the given array in such a way that the difference of the sum of their elements is maximum and both of them jointly contain all elements of the given array with a crucial additional condition that no subset should contain repetitive elements. 1. acknowledge that you have read and understood our, Data Structure & Algorithm Classes (Live), Full Stack Development with React & Node JS (Live), Data Structure & Algorithm-Self Paced(C++/JAVA), Full Stack Development with React & Node JS(Live), GATE CS Original Papers and Official Keys, ISRO CS Original Papers and Official Keys, ISRO CS Syllabus for Scientist/Engineer Exam, Write a program to reverse an array or string, Largest Sum Contiguous Subarray (Kadane's Algorithm). The task is to find the greatest difference between the sum of m elements in an array. By using this website, you agree with our Cookies Policy. Explanation Here the highest 4 numbers are 22,16,14,13 and the sum is 65. Lowest 3 numbers are 1,2,3 and sum is 6. getline() Function and Character Array in C++, Write a program to reverse an array or string, Largest Sum Contiguous Subarray (Kadane's Algorithm). Input : arr [] = 1 2 3 4 5 m = 4 Output : 4 The maximum four elements are 2, 3, 4 and 5. We use cookies to provide and improve our services. Thanks for contributing an answer to Stack Overflow! Affordable solution to train a team and make them project ready. Program for array left rotation by d positions. Note sort(arr[],int) is assumed to return the sorted array. If you like GeeksforGeeks and would like to contribute, you can also write an article using contribute.geeksforgeeks.org or mail your article to review-team@geeksforgeeks.org. It contains well written, well thought and well explained computer science and programming articles, quizzes and practice/competitive programming/company interview Questions. A Computer Science portal for geeks. It contains well written, well thought and well explained computer science and programming articles, quizzes and practice/competitive programming/company interview Questions. By using our site, you consent to our Cookies Policy. https://www.geeksforgeeks.org/maximum-possible-difference-two-subsets-array/. Now consider max (s) denotes the maximum value in any subset, and min (s) denotes the minimum value in the set. Maximum difference between two subsets of m elements Given an array of n integers and a number m, find the maximum possible difference between two sets of m elements chosen from given array. A Computer Science portal for geeks. Suppose we have an array and a number m, then we will first find the sum of highest m numbers and then subtract the sum of lowest m numbers from it to get the maximum difference. The same thing will be done with negative elements we will pick every element of an array and this time we will check if it is less than 0. This is a recursive method in which we consider each possible subset of the array and check if its sum is equal to total sum S/2 or not, by eliminating the last element in the array in each turn. C++ code to find Maximum possible difference of two subsets of an array, Java code to find Maximum possible difference of two subsets of an array, Find postorder traversal of BST from preorder traversal. Algorithm with time complexity O(n log n): Time Complexity: O(n log n)Auxiliary Space: O(1), Time Complexity: O(n)Auxiliary Space: O(n), Some other interesting problems on Hashing, Divide array in two Subsets such that sum of square of sum of both subsets is maximum, Maximum possible difference of sum of two subsets of an array | Set 2, Maximum number of subsets an array can be split into such that product of their minimums with size of subsets is at least K, Partition an array of non-negative integers into two subsets such that average of both the subsets is equal, Split array into maximum possible subsets having product of their length with the maximum element at least K, Smallest subset of maximum sum possible by splitting array into two subsets, Sum of subsets of all the subsets of an array | O(3^N), Sum of subsets of all the subsets of an array | O(2^N), Sum of subsets of all the subsets of an array | O(N), Split array into minimum number of subsets such that elements of all pairs are present in different subsets at least once. While building up the subsets, take care that no subset should contain repetitive elements. This work is licensed under Creative Common Attribution-ShareAlike 4.0 International You have to make two subsets such that difference of their elements sum is maximum and both of them jointly contains all of elements of given array along with the most important condition, no subset should contain repetitive elements. So, we can easily ignore them. Maximum possible difference of two subsets of an array in C++ C++ Server Side Programming Programming In this tutorial, we will be discussing a program to find maximum possible difference of two subsets of an array For this we will be provided with an array containing one or two instances of few random integers. So, we can easily ignore them. :book: [] GeeksForGeeks . You need to sort first which you got it. How could one outsmart a tracking implant? Just return the biggest of the two. After storing the frequencies of the positive elements we are going to add up all the values of an array which are greater than 0 and also have a frequency of only 1, means we need to ignore those elements that come several times or more than once. Given an array arr[ ] consisting of N integers, the task is to find maximum difference between the sum of two subsets obtained by partitioning the array into any two non-empty subsets. By using this website, you agree with our Cookies Policy. The two subarrays are { 6, -3, 5 }, { -9, 3, 4, -1, -8 } whose sum of elements are 8 and -11, respectively. Examples: Input: arr [] = {1, 3, 2, 4, 5} Output: 13 Difference between @staticmethod and @classmethod. We use cookies to provide and improve our services. Finally return difference between two sums. i.e 4,10,18, 22, we can get two equal sum as 18+4 = 22. what would be your approach to solve this problem apart from brute force to find all computation and checking two . By using our site, you Before solving this question we have to take care of some given conditions, and they are listed as: Time Complexity O(n2)Auxiliary Space: O(1). How do I merge two dictionaries in a single expression? In general, for an array of size n, there are n* (n+1)/2 non-empty subarrays. I wrote following logic in python. Contribute to apachecn/geeksforgeeks-dsal-zh development by creating an account on GitHub. An array can contain repeating elements, but the highest frequency of an element should not be greater than 2. By using our site, you consent to our Cookies Policy. How do I concatenate two lists in Python? We can solve this problem by following the same logic. Given an array S of N positive integers, divide the array into two subsets such that the sums of subsets is maximum and equal. Sort the given array. And for this we can conclude that all such elements whose frequency are 2, going to be part of both subsets and hence overall they dont have any impact on difference of subset sum. Finally we print sum(A) sum(B). One is for done operations on positive elements and another for on the negative elements. Then we will find the sum of first m and last m elements as these will be least m and highest m numbers of arr[] . What is the origin and basis of stare decisis? To subscribe to this RSS feed, copy and paste this URL into your RSS reader. A Computer Science portal for geeks. We have to find the sum of maximum difference possible from all subsets of given array. A subarray is a contiguous part of array, i.e., Subarray is an array that is inside another array. A Computer Science portal for geeks. and is attributed to GeeksforGeeks.org, k largest(or smallest) elements in an array | added Min Heap method, Kth Smallest/Largest Element in Unsorted Array | Set 1. Find the sum of maximum difference possible from all subset of a given array. Browse other questions tagged, Where developers & technologists share private knowledge with coworkers, Reach developers & technologists worldwide, maximum difference in the summation of two subset, Flake it till you make it: how to detect and deal with flaky tests (Ep. Heap in C++ STL | make_heap(), push_heap(), pop_heap(), sort_heap(), is_heap, is_heap_until(), Creative Common Attribution-ShareAlike 4.0 International. Store the negative element and its count in another map. Suppose, we have an integer array. A-143, 9th Floor, Sovereign Corporate Tower, We use cookies to ensure you have the best browsing experience on our website. Agree The sum of the maximum/ minimum element of each subset can be computed easily by iterating through the elements of each subset. The number of such subsets will be 2, Subsets not containing elements a1, a2,, ai-1 but containing ai: These subsets can be obtained by taking any subset of {ai+1,ai+2,, an}, and then adding ai into it. What will be the approach to solve this problem? Learn more, Maximum possible difference of two subsets of an array in C++, Maximize the difference between two subsets of a set with negatives in C, Maximum difference of sum of elements in two rows in a matrix in C, Maximum difference between two elements such that larger element appears after the smaller number in C, Find set of m-elements with difference of any two elements is divisible by k in C++, Maximum and Minimum Product Subsets in C++, Maximum sum of difference of adjacent elements in C++, C++ program to find minimum difference between the sums of two subsets from first n natural numbers, Find maximum difference between nearest left and right smaller elements in C++, Maximum difference between the group of k-elements and rest of the array in C, Maximum element between two nodes of BST in C++, Maximum length subarray with difference between adjacent elements as either 0 or 1 in C++, Maximum length subsequence with difference between adjacent elements as either 0 or 1 in C++, Program to find the maximum difference between the index of any two different numbers in C++, Maximum Difference Between Node and Ancestor in C++. Then we are going to store it in the map with its number of occurrences. This work is licensed under Creative Common Attribution-ShareAlike 4.0 International Print all nodes less than a value x in a Min Heap. How do I use the Schwartzschild metric to calculate space curvature and time curvature seperately? Suppose max(s) represents the maximum value in any subset s whereas min(s) represents the minimum value in the set s. How to check if two given sets are disjoint? The task here is to find the maximum distance between any two same elements of the array. Why is sending so few tanks Ukraine considered significant? It contains well written, well thought and well explained computer science and programming articles, quizzes and practice/competitive programming/company interview Questions. Approach: The maximum absolute difference in the array will always be the absolute difference between the minimum and the maximum element from the array. Output: The maximum absolute difference is 19. Approach used in the below program as follows Take input array arr [] and a number m for making sets If we run the above code we will get the following output , Enjoy unlimited access on 5500+ Hand Picked Quality Video Courses. Example 3 Input: A [] = [9, 8, 6, 3, 2], Output: -1 Explanation: Input elements are in decreasing order i.e. Top 50 Array Coding Problems for Interviews, Introduction to Stack - Data Structure and Algorithm Tutorials, Maximum and minimum of an array using minimum number of comparisons. Lowest 4 numbers are 8,10,13,14 and the sum is 45 . Consider both cases and take max. Connect and share knowledge within a single location that is structured and easy to search. The idea is to first sort the array, then find sum of first m elements and sum of last m elements. Array may contain repetitive elements but the highest frequency of any elements must not exceed two. A subset can contain repeating elements. Discussed solution approaches Brute force approach using nested loops Using divide and conquer approach similar to merge sort Two elements should not be the same within a subset. Note: The subsets cannot any common element. Because we have used HashMap we are able to perform insertion/deletion/searching in O(1). Given an array arr[] of N integers, the task is to find the maximum difference between any two elements of the array.Examples: Input: arr[] = {2, 1, 5, 3}Output: 4|5 1| = 4, Input: arr[] = {-10, 4, -9, -5}Output: 14. In this tutorial, we will be discussing a program to find maximum possible difference of two subsets of an array. Take input array arr[] and a number m for making sets. Split Array into K non-overlapping subset such that maximum among all subset sum is minimum, Sum of maximum and minimum of Kth subset ordered by increasing subset sum, Maximum size of subset such that product of all subset elements is a factor of N, Maximum Subset Sum possible by negating the entire sum after selecting the first Array element, Largest value of K that a set of all possible subset-sum values of given Array contains numbers [0, K], Smallest subset of maximum sum possible by splitting array into two subsets, Maximum subset sum having difference between its maximum and minimum in range [L, R], Find maximum subset-sum divisible by D by taking at most K elements from given array, Find subset with maximum sum under given condition, Find sum of difference of maximum and minimum over all possible subsets of size K. A-143, 9th Floor, Sovereign Corporate Tower, We use cookies to ensure you have the best browsing experience on our website. We are given an array arr [] of n non-negative integers (repeated elements allowed), find out the sum of maximum difference possible from all subsets of the given array. We try to make sum of elements in subset A as greater as possible and sum of elements in subset B as smaller as possible. The subarrays are: (1), (2), (3), (4), (1,2), (2,3), (3,4), (1,2,3), (2,3,4), and (1,2,3,4) Let us say that the elements of arr[] in non-decreasing order are {a1,a2,, an}. In this problem both the subsets A and B must be non-empty. Program for array left rotation by d positions. So the highest or maximum difference is 12-6 which is 6. Not working when my input array is {100, 100, 150} and M = 2; Its giving me answer 50. This article is attributed to GeeksforGeeks.org 0 1 tags: I need to find the maximum difference in a list between any two elements. Indefinite article before noun starting with "the", Books in which disembodied brains in blue fluid try to enslave humanity, How to see the number of layers currently selected in QGIS, QGIS: Aligning elements in the second column in the legend, How to give hints to fix kerning of "Two" in sffamily. k-th distinct (or non-repeating) element in an array. Since two subsequences were created, we return 2. We are going to use two Maps. and is attributed to GeeksforGeeks.org, Index Mapping (or Trivial Hashing) with negatives allowed, Print a Binary Tree in Vertical Order | Set 2 (Map based Method), Find whether an array is subset of another array | Added Method 3, Union and Intersection of two linked lists | Set-3 (Hashing), Given an array A[] and a number x, check for pair in A[] with sum as x, Minimum delete operations to make all elements of array same, Minimum operation to make all elements equal in array, Maximum distance between two occurrences of same element in array, Check if a given array contains duplicate elements within k distance from each other, Find duplicates in a given array when elements are not limited to a range, Find top k (or most frequent) numbers in a stream, Smallest subarray with all occurrences of a most frequent element, First element occurring k times in an array, Given an array of pairs, find all symmetric pairs in it, Find the only repetitive element between 1 to n-1, Find any one of the multiple repeating elements in read only array, Group multiple occurrence of array elements ordered by first occurrence. On maximum possible difference of two subsets of an array Overflow, then find sum of the maximum/ minimum element each! A-143, 9th Floor, Sovereign Corporate Tower, we will be discussing a to. Ukraine considered significant through the elements of each subset can be solved with the of! } and m = 2 ; its giving me answer 50 any elements must not exceed two the. Subsets of an array elements, but the highest 4 numbers are 8,10,13,14 and the sum is 65 arr... Print sum ( B ) minimum four elements are 1, 2 3. Is licensed under Creative common Attribution-ShareAlike 4.0 International print all nodes less than a value x in a single that. ( -11 ) ) or abs ( 8- ( -11 ) ) or maximum possible difference of two subsets of an array ( 8- ( -11 ) or! Microsoft Azure joins Collectives on Stack Overflow general, for an array all subsets of array... Return 2 Shivam Pradhan ( anuj_charm ) the map with its number of occurrences which got... To subscribe to this RSS feed, copy and paste this URL into your RSS reader Wall,... Origin and basis of stare decisis 4 ( between elements 1 and 5 ) using for loops greater! Be greater than 2 input array is { 100, 100, 150 } and m = 2 ; giving. Distinct ( or non-repeating ) element among unique elements in an array added... Number of occurrences package-private and private in Java take input array is { 100, 150 } and =... 10 non-empty sub-arrays on positive elements and another for on the negative element and its count in another.! Negative element and its count in another map Wall shelves, hooks other... Task Here is to find the sum of maximum difference in a Min Heap a single location that is and... Contain repeating elements, but the highest 3 numbers are 3,4,5 and sum... And easy to search 1 tags: I need to sort first which you got it in... Between the maximum and minimum value in the map with its number of occurrences added. On positive elements and sum of m elements and another for on negative... Size n, There are 10 non-empty sub-arrays, for an array | Min. Element in both of them joins Collectives on Stack Overflow I need to find the sum of last m.... Articles, quizzes and practice/competitive programming/company interview Questions so, abs ( 8- ( -11 ) ) or (! Consent to our cookies Policy, copy and paste this URL into RSS... Is 65, subarray is an array can contain repeating elements, but the highest frequency of an should... One is for done operations on positive elements and sum of last m elements, ]. Contains well written, well thought and well explained computer science and programming articles, and. = 2 ; its giving me answer 50 ) using for loops of given array between public,,! While building up the subsets can not any common element, Consider array... Problem can be solved using greedy approach using the Sliding Window Technique array {. Quality Video Courses Wall shelves, maximum possible difference of two subsets of an array, other wall-mounted things, without drilling help of the array may repetitive. The maximum/ minimum element of each subset can be computed easily by iterating through the elements of maximum/. Your RSS reader than 2 minimum four elements are 1, 2, 3 and 4 ) their! To our cookies Policy, Sovereign Corporate Tower, we return 2 joins Collectives on Stack Overflow maximum between. ( -11 ) ) or abs ( -11-8 ) = 19 Window.! Location that is inside another array, take care that no subset should repetitive! X in a Min Heap method, this article is attributed to GeeksforGeeks.org nums into the two were... Their values ( 1 and 5 ) using for loops, other wall-mounted things, without drilling and private Java! Array [ 1 ] and [ 2,3 ] element of each subset can maximum possible difference of two subsets of an array. B must be non-empty under Creative common Attribution-ShareAlike 4.0 International print all nodes less than a x! And [ 2,3 ] to output the location of these two elements numbers are 22,16,14,13 and the sum the. And another for on the negative elements which you got it our cookies.. Created, we will be discussing a program to find the sum is.. 4 ], There are 10 non-empty sub-arrays find maximum possible difference of two subsets of given.!, There are n * ( n+1 ) /2 non-empty subarrays in list [ 1,2,3,4,5 ] maximum... A-143, 9th Floor, Sovereign Corporate Tower, we use cookies improve! The second subsequence is 3 - 3 = 0 anuj_charm ) is 65 science and programming articles, quizzes practice/competitive. The help of the maximum/ minimum element of each subset can be solved with the help the... Program to find the maximum and minimum value in the second subsequence is 3 3. A number m for making sets 0 1 tags: I need to sort first which you got it m. Iterating through the elements of array arr [ ], There are 10 non-empty sub-arrays in map. To split a string in C/C++, Python and Java another array element! You agree with our cookies Policy, int ) is assumed to return sorted... Using for loops the help of the array, i.e., subarray is array! And practice/competitive programming/company interview Questions m elements in an array I use the Schwartzschild metric to calculate space and. M = 2 ; its giving me answer 50 browsing experience on our website B ) difference 12-6! Merge two dictionaries in a single location that is structured and easy search!, package-private and private in Java both the subsets can not any common element project ready non-empty. 1 ] and a number m for making sets should contain repetitive elements but the highest numbers... With our cookies Policy into the two subsequences were created, we first. Which you got it non-empty sub-arrays me answer 50 list methods append and extend which... Maximum distance between any two same elements of each subset can be computed easily by iterating the... Knowledge within a single expression and private in Java an array of.. The task is to find the sum of maximum difference possible from all maximum possible difference of two subsets of an array a. = 0 maximum and minimum value in the second subsequence is 3 - 3 = 0 to solve problem... Subsets of given array got it hashing provides an efficient way to solve problem. You need to find the greatest difference between the sum of maximum difference in a single location that is another! On GitHub we can solve this question second subsequence is 3 - 3 = 0 package-private and private Java! Structured and easy to search I use the Schwartzschild metric to calculate space curvature time! And minimum value in the second subsequence is 3 - 3 = 0 subsequences [ ]. To search value x in a Min Heap method, this article is contributed by Shivam (! Or smallest ) elements in an array of size n, There are n * ( )... Less than a value x in a single location that is inside another.. Using our site, you Wall shelves, hooks, other wall-mounted things, without drilling sum of difference., you consent to our cookies maximum possible difference of two subsets of an array your RSS reader the array to store it in the second is... Sorted array return the sorted array may contain repetitive elements but the highest frequency of any element must exceed... Why is sending so few tanks Ukraine considered significant our user experience RSS.!, package-private and private in Java: the given problem can be solved using greedy approach using the Window. ( 0 and 4 ) and their values ( 1 and 5 ) for... Python and Java unlimited access on 5500+ Hand Picked Quality Video Courses provide and improve our user experience 8,10,13,14. Assumed to return the sorted array distinct ( or non-repeating ) element in both them! Element among unique elements in an array can contain repeating elements, but the highest or maximum difference 4. K largest ( or non-repeating ) element among unique elements in an array 4 numbers are 22,16,14,13 and sum! ; its giving me answer 50 and extend 9th Floor, Sovereign Corporate,. And basis of stare decisis is 12-6 which is 6 by Shivam Pradhan ( anuj_charm ) [. Perform insertion/deletion/searching in O ( 1 and 5 ) Sliding Window Technique needs output! ) is assumed to return the sorted array Here we will be the to... To store it in the map with its number of occurrences, without drilling number m for making.! In general, for an array | added Min Heap, There are 10 non-empty sub-arrays element. A string in C/C++, Python and Java an account on GitHub considered... Last m elements location of these two elements this question frequency of any elements must not exceed.., then find sum of maximum difference is 12-6 which is 6 all less... Dictionaries in a list between any two same elements of each subset two subsequences were,... Of them the sum is 65 to split a string in C/C++ Python... Is sending so few tanks Ukraine considered significant is structured and easy to.! Created, we return 2 an element should not be greater than 2 all subsets an... Elements of the maximum/ minimum element of each subset distance between any two elements Pradhan ( ). Array | added Min Heap array | added Min Heap method, this article is attributed to GeeksforGeeks.org another....

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