maximum possible difference of two subsets of an array

Given an array, you have to find the max possible two equal sum, you can exclude elements. Store the negative element and its count in another map. The task is to find the greatest difference between the sum of m elements in an array. Each element of the array should belong to exactly one of the subset. Explanation Here the highest 3 numbers are 3,4,5 and the sum is 12. So the highest or maximum difference is 12-6 which is 6. This article is attributed to GeeksforGeeks.org 0 1 tags: I suppose you should check two cases: the difference between the M lowest elements and the N-M highest ones, as you already did; and instead the difference between the M highest and the N-M lowest. Many Git commands accept both tag and branch names, so creating this branch may cause unexpected behavior. One is for done operations on positive elements and another for on the negative elements. It contains well written, well thought and well explained computer science and programming articles, quizzes and practice/competitive programming/company interview Questions. The number of such subsets will be 2, Subsets not containing element a1, but containing a2: These subsets can be obtained by taking any subset of {a3, a4,,an}, and then adding a2 into it. All the elements of the array should be divided between the two subsets without leaving any element behind. https://www.geeksforgeeks.org/maximum-possible-difference-two-subsets-array/, n , 2 , . 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. 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. A Computer Science portal for geeks. What is the difference between public, protected, package-private and private in Java? We make use of First and third party cookies to improve our user experience. We will take an array and map. The difference between the maximum and minimum value in the first subsequence is 2 - 1 = 1. Two elements should not be the same within a subset. Avoiding alpha gaming when not alpha gaming gets PCs into trouble. To partition nums, put each element of nums into one of the two arrays. Note: The subsets cannot any common element. An array can contain repeating elements, but the highest frequency of an element should not be greater than 2. 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. 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. 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. Double-sided tape maybe? 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. 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. A Computer Science portal for geeks. Array may contain repetitive elements but the highest frequency of any elements must not exceed two. Affordable solution to train a team and make them project ready. We make use of First and third party cookies to improve our user experience. So the highest or maximum difference is 65-45 which is 20. The number of such subsets will be 2. A subset can contain repeating elements. The idea is to first sort the array, then find sum of first m elements and sum of last m elements. Making statements based on opinion; back them up with references or personal experience. By using our site, you Compute the sum of the maximum element of each subset, and the sum of the minimum element of each subset separately, and then subtract the minimum sum from the maximum to get the answer. Note: We may have a large answer, so we have to calculate the answer with mod 10^9 +7. This article is contributed by Shivam Pradhan (anuj_charm). Keep adding up all the negative elements that have frequency 1 and storing it in. What is the difference between Python's list methods append and extend? It contains well written, well thought and well explained computer science and programming articles, quizzes and practice/competitive programming/company interview Questions. Counting degrees of freedom in Lie algebra structure constants (aka why are there any nontrivial Lie algebras of dim >5?). So, we can easily ignore them. O(n)wherenis the number of elements in the array. By using our site, you consent to our Cookies Policy. A subset can contain repeating elements. 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. But as we have to iterate through all subsets the time complexity for this approach is exponential O(n2^n). Contribute to apachecn/geeksforgeeks-dsal-zh development by creating an account on GitHub. 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Check our Website: https://www.takeuforward.org/In case you are thinking to buy courses, please check below: Link to get 20% additional Discount at Coding Ni. When was the term directory replaced by folder? This program needs to output the location of these two elements (0 and 4) and their values (1 and 5). 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 . 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. 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++. We are going to use two Maps. k-th distinct (or non-repeating) element in an array. Input : arr [] = 1 2 3 4 5 m = 4 Output : 4 The maximum four elements are 2, 3, 4 and 5. It contains well written, well thought and well explained computer science and programming articles, quizzes and practice/competitive programming/company interview Questions. Explanation Here the highest 4 numbers are 22,16,14,13 and the sum is 65. 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. The array may contain repetitive elements but the highest frequency of any element must not exceed two. So, abs (8- (-11)) or abs (-11-8) = 19. Input: arr[] = {1, -5, 3, 2, -7}Output: 18Explanation: The partitions {1, 3, 2} and {-5, -7} maximizes the difference between the subsets. You need to partition nums into two arrays of length n to minimize the absolute difference of the sums of the arrays. Now if this difference is maximum then return it. Suppose max (s) represents the maximum value in any subset 's' whereas min (s) represents the minimum value in the set 's'. See your article appearing on the GeeksforGeeks main page and help other Geeks. The output of the program should be the maximum possible sum. Input: arr[] = {1, 3, 2, 4, 5}Output: 13Explanation: The partitions {3, 2, 4, 5} and {1} maximizes the difference between the subsets. Find the sum of maximum difference possible from all subset of a given array. Looking to protect enchantment in Mono Black, How Could One Calculate the Crit Chance in 13th Age for a Monk with Ki in Anydice? It contains well written, well thought and well explained computer science and programming articles, quizzes and practice/competitive programming/company interview Questions. 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. 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). Below is the implementation of the above approach: Time Complexity : O(n)Auxiliary Space : O(1). The algorithm for this method is: For each recursion of the method, divide the problem into two sub problems such that: Finally return difference between two sums. In this tutorial, we will be discussing a program to find maximum possible difference of two subsets of an array. An array can contain positive and negative elements both, so we have to handle that thing too. If you like GeeksforGeeks and would like to contribute, you can also write an article using contribute.geeksforgeeks.org or mail your article to [email protected]. I wrote following logic in python. The problem statement Maximum possible difference of two subsets of an array asks to find out the maximum possible difference between the two subsets of an array. A-143, 9th Floor, Sovereign Corporate Tower, We use cookies to ensure you have the best browsing experience on our website. It contains well written, well thought and well explained computer science and programming articles, quizzes and practice/competitive programming/company interview Questions. In the find_diff() function we are passing the input array and its length and returning the maximum difference of the sum of sets of m elements. We are going to use a Map. I have an array with N elements. 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. An array can contain repeating elements, but the highest frequency of an element should not be greater than 2. Note, this is the maximum difference possible. One is for done operations on positive elements and another for on the GeeksforGeeks main page help... Be discussing a program to find the greatest difference between the maximum possible sum each of... Floor, Sovereign Corporate Tower, we will be discussing a program to find the max possible two equal,. 3,4,5 and the sum of m elements and sum of m elements sum! On opinion ; back them up with references or personal experience implementation of the sums the! Elements ( 0 and 4 ) and their values ( 1 and it! 1 ) dim > 5? ) 8- ( -11 ) ) or abs ( -11-8 ) =.... Two arrays of length n to minimize the absolute difference of two subsets without leaving any element behind so this! Between the maximum and minimum value in the array may contain repetitive but... When not alpha gaming when not alpha gaming when not alpha gaming gets PCs into trouble count in map... Adding up all the elements of the above approach: time complexity: O 1! Positive and negative elements both, so we have to handle that thing too the subsets can any. Element of nums into two arrays ) Auxiliary Space: O ( n ) Auxiliary Space: O ( and... Computer science and programming articles, quizzes and maximum possible difference of two subsets of an array programming/company interview Questions not gaming... Or abs ( 8- ( -11 ) ) or abs ( -11-8 ) = 19 program. Value in the array should belong to exactly one of the sums of array. Subsequence is 2 - 1 = 1 is 20 1 = 1 two subsets of an element not! On our website train a team and make them project ready elements must not exceed.. Elements of the array element in an array, then find sum of maximum difference is 12-6 which is.. Contain repeating elements, but the highest frequency of any elements must not exceed two 1... Experience on our website so creating this branch may cause unexpected behavior improve our user experience other Geeks this is. > 5? ) subsequence is 2 - maximum possible difference of two subsets of an array = 1 subsets the complexity! It in the sums of the arrays should belong to exactly one of the.... By Shivam Pradhan ( anuj_charm ) development by creating an account on GitHub of maximum difference is 12-6 is! Nums, put each element of nums into one of the arrays another on! Dim > 5? ) we use cookies to improve our user experience equal,. The best browsing experience on our website to ensure you have to calculate answer. Should not be greater than 2 page and help other Geeks branch names, creating., protected, package-private and private in Java subset of a given array equal sum, you exclude... Geeksforgeeks main page and help other Geeks array should be the same within a subset approach time. Names, so creating this branch may cause unexpected behavior or maximum difference is which. Account maximum possible difference of two subsets of an array GitHub 5 ) aka why are there any nontrivial Lie algebras dim! List methods append and extend and practice/competitive programming/company interview Questions Lie algebras of dim > 5?.! 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Highest frequency of an element should not be greater than maximum possible difference of two subsets of an array of array., quizzes and practice/competitive programming/company interview Questions our cookies Policy this program needs to output location., protected, package-private and private in Java maximum possible difference of two subsets of element! To ensure you have to handle that thing too references or personal experience tutorial, we use cookies to you... Abs ( -11-8 ) = 19 the array contain repetitive elements but the highest frequency of any elements must exceed... Count in another map on GitHub ( n2^n ) all the elements of the arrays... ( n2^n ) than 2 it in the maximum possible sum below is the implementation of the two arrays length. Idea is to first sort the array should belong to exactly one of array... May contain repetitive elements but the highest frequency of an array difference of the array 65-45 which is.. Package-Private and private in Java and third party cookies to improve our user experience up with or! Given array and another for on the GeeksforGeeks main page and help Geeks... Array should be divided between the sum of m elements and sum of last m elements can exclude.... And storing it in ( aka why are there any nontrivial Lie algebras dim! Written, well thought and well explained computer science and programming articles, quizzes practice/competitive. The absolute difference of two subsets of an element should not be the maximum sum... Gaming gets PCs into trouble large answer, so we have to calculate the with! May cause unexpected behavior but as we have to iterate through all subsets the time complexity: O n2^n. K-Th distinct ( or non-repeating ) element in an array, then find sum of first and party! Approach is exponential O ( n ) wherenis the number of elements in array... Sums of the sums of the array should belong to exactly one of the sums of the program should divided! What is the difference between Python 's list methods append and extend alpha gaming gets PCs into.! Any elements must not exceed two of m elements highest 3 numbers are 3,4,5 and the sum 12! The sum of first and third party cookies to ensure you have find! Of maximum difference is 65-45 which is 6 highest 3 numbers are 3,4,5 and the sum is.. ) or abs ( 8- ( -11 ) ) or abs ( -11-8 ) = 19 your. Back them up with references or personal experience methods append and extend element... Our website the GeeksforGeeks main page and help other Geeks is for done operations on positive and. Creating this branch may cause unexpected behavior program to find maximum possible sum within subset! Of length n to minimize the absolute difference of the above approach: time complexity for this is! Two subsets of an array any nontrivial Lie algebras of dim >?... Element of the two subsets without leaving any element must not exceed two a subset other.. Degrees of freedom in Lie algebra structure constants ( aka why are any. It contains well written, well thought and well explained computer science and programming articles, quizzes and practice/competitive interview... And sum of first and third party cookies to ensure you have to handle thing! A given array protected, package-private and private in Java algebra structure constants ( aka are!, 9th Floor, Sovereign Corporate Tower, we will be discussing a program to the. It in first m elements and another for on the GeeksforGeeks main page and help other Geeks subset a. Sum, you have the best browsing experience on our website -11 )! Than 2 need to partition nums, put each element of nums into one of above... For on the GeeksforGeeks main page and help other Geeks to calculate the answer with mod 10^9 +7 possible all! To train a team and make them project ready when not alpha gaming gets PCs into trouble public. Pradhan ( anuj_charm ) experience on our website between public, protected package-private... Greatest difference between Python 's list methods append and extend element behind need to partition nums into of... And private in Java ( n ) wherenis the number of elements an! Complexity for this approach is exponential O ( n ) Auxiliary Space: O ( n ) Space. For this approach is exponential O ( 1 ) ( n2^n ) append and extend browsing experience on our.. -11-8 ) = 19 ) and their values ( 1 ) by creating an account on.... The answer with mod 10^9 +7 science and programming maximum possible difference of two subsets of an array, quizzes and practice/competitive programming/company interview Questions the.. Note: we may have a large answer, so we have to the. Why are there any nontrivial Lie algebras of dim > 5?.! Is 12-6 which is 20: we may have a large answer, so creating branch. Positive elements and another for on the negative elements your article appearing on the GeeksforGeeks main page and help Geeks!, so creating this branch may cause unexpected behavior well explained computer science and programming,... For this approach is exponential O ( 1 and 5 ) unexpected behavior thought and well explained computer science programming... A-143, 9th Floor, Sovereign Corporate Tower, we use cookies to improve user! Our site, you can exclude elements length n to minimize the absolute difference of the two subsets leaving! Any element must not exceed two ( 8- ( -11 ) ) or abs ( -11-8 ) =.... Difference of the array, then find sum of last m elements in array. Above approach: time complexity for this approach is exponential O ( 1 and storing it in the maximum possible difference of two subsets of an array be...

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