maximum possible difference of two subsets of an array
Easy interview question got harder: given numbers 1..100, find the missing number(s) given exactly k are missing. For example, for the array : {1,2,3}, some of the possible divisions are a) {1,2} and {3} b) {1,3} and {2}. O(n)wherenis the number of elements in the array. Take input array arr[] and a number m for making sets. We are going to use a Map. Not working when my input array is {100, 100, 150} and M = 2; Its giving me answer 50. Heap in C++ STL | make_heap(), push_heap(), pop_heap(), sort_heap(), is_heap, is_heap_until(), Creative Common Attribution-ShareAlike 4.0 International. Suppose, we have an integer array. Asking for help, clarification, or responding to other answers. So, we can easily ignore them. We are given an array arr [] of n non-negative integers (repeated elements allowed), find out the sum of maximum difference possible from contiguous subsets of the given array. 2. Another Approach ( Using STL) : The maximum absolute difference in the array will always be the absolute difference between the minimum and the maximum element from the array.Below is the implementation of the above approach: Time Complexity : O(n)Auxiliary Space: O(1), School Guide: Roadmap For School Students, Maximum possible difference between two Subarrays after removing N elements from Array, Maximum difference between two subsets of m elements, Maximum distance between two elements whose absolute difference is K, Maximum difference between two elements such that larger element appears after the smaller number, Minimum count of array elements that must be changed such that difference between maximum and minimum array element is N - 1, Maximum sum of a subsequence having difference between their indices equal to the difference between their values, Count number of elements between two given elements in array, Minimize the maximum difference between adjacent elements in an array, Maximum absolute difference between distinct elements in an Array, Smallest number that can replace all -1s in an array such that maximum absolute difference between any pair of adjacent elements is minimum. The array may contain repetitive elements but the highest frequency of any element must not exceed two. Input: arr[] = {1, 3, 2, 4, 5}Output: 13Explanation: The partitions {3, 2, 4, 5} and {1} maximizes the difference between the subsets. 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. Note, this is the maximum difference possible. This work is licensed under Creative Common Attribution-ShareAlike 4.0 International Site Maintenance- Friday, January 20, 2023 02:00 UTC (Thursday Jan 19 9PM Were bringing advertisements for technology courses to Stack Overflow. 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. Given an array S of N positive integers, divide the array into two subsets such that the sums of subsets is maximum and equal. While building up the subsets, take care that no subset should contain repetitive elements. It contains well written, well thought and well explained computer science and programming articles, quizzes and practice/competitive programming/company interview Questions. How can citizens assist at an aircraft crash site? This article is contributed by Shivam Pradhan (anuj_charm). When was the term directory replaced by folder? Example 3 Input: A [] = [9, 8, 6, 3, 2], Output: -1 Explanation: Input elements are in decreasing order i.e. See your article appearing on the GeeksforGeeks main page and help other Geeks. Explanation: Maximum difference is between 6 and 1. We are going to store it in the map (making it a positive number) with its number of occurrences. Program for array left rotation by d positions. A Computer Science portal for geeks. For making the difference of the sum of elements of both subset maximum we have to make subset in such a way that all positive elements belong to one subset and negative ones to other subsets. A subset can contain repeating elements. It contains well written, well thought and well explained computer science and programming articles, quizzes and practice/competitive programming/company interview Questions. 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. Note: The subsets cannot any common element. 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. An array can contain repeating elements, but the highest frequency of an element should not be greater than 2. Making statements based on opinion; back them up with references or personal experience. A Computer Science portal for geeks. Input . Now consider max (s) denotes the maximum value in any subset, and min (s) denotes the minimum value in the set. We use cookies to provide and improve our services. A Computer Science portal for geeks. k largest(or smallest) elements in an array | added Min Heap method, This article is attributed to GeeksforGeeks.org. It contains well written, well thought and well explained computer science and programming articles, quizzes and practice/competitive programming/company interview Questions. Enjoy unlimited access on 5500+ Hand Picked Quality Video Courses. We make use of First and third party cookies to improve our user experience. 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. Find elements which are present in first array and not in second, Pair with given sum and maximum shortest distance from end, Pair with given product | Set 1 (Find if any pair exists), k-th missing element in increasing sequence which is not present in a given sequence, Minimum number of subsets with distinct elements, Remove minimum number of elements such that no common element exist in both array, Count items common to both the lists but with different prices, Minimum Index Sum for Common Elements of Two Lists, Change the array into a permutation of numbers from 1 to n, Count pairs from two sorted arrays whose sum is equal to a given value x, Count pairs from two linked lists whose sum is equal to a given value, Count quadruples from four sorted arrays whose sum is equal to a given value x, Number of subarrays having sum exactly equal to k, Count pairs whose products exist in array, Given two unsorted arrays, find all pairs whose sum is x, Cumulative frequency of count of each element in an unsorted array, Sort elements by frequency | Set 4 (Efficient approach using hash), Find pairs in array whose sums already exist in array, Find all pairs (a, b) in an array such that a % b = k, Convert an array to reduced form | Set 1 (Simple and Hashing), Return maximum occurring character in an input string, Smallest element repeated exactly k times (not limited to small range), Numbers with prime frequencies greater than or equal to k, Find the first repeating element in an array of integers, Find sum of non-repeating (distinct) elements in an array. Approach: The given problem can be solved with the help of the Greedy Approach using the Sliding Window Technique. One is for done operations on positive elements and another for on the negative elements. Since two subsequences were created, we return 2. Contribute to AlexanderAzharjan/geeksforgeeks-zh development by creating an account on GitHub. 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. Why is sending so few tanks Ukraine considered significant? Array may contain repetitive elements but the highest frequency of any elements must not exceed two. i.e 1,2,3,4,6 is given array we can have max two equal sum as 6+2 = 4+3+1. We have given an array, we need to find out the difference between the sum of the elements of two subsets and that should be maximum. 528), Microsoft Azure joins Collectives on Stack Overflow. You need to sort first which you got it. It contains well written, well thought and well explained computer science and programming articles, quizzes and practice/competitive programming/company interview Questions. We need to find the sum of max(s)-min(s) for all possible subsets. It is not necessary to include all the elements in the two subsets. Store the negative element and its count in another map. It contains well written, well thought and well explained computer science and programming articles, quizzes and practice/competitive programming/company interview Questions. We have to find the sum of maximum difference possible from all subsets of given array. Our task is to create two subsets of that array such that the difference of their sum is maximum and no subset contains repetitive numbers. The minimum difference between 2 sets is 1 Time Complexity = O (n*sum) where n is number of elements and sum is sum of all elements. The task is to find the greatest difference between the sum of m elements in an array. The output of the program should be the maximum possible sum. You signed in with another tab or window. https://www.geeksforgeeks.org/maximum-possible-difference-two-subsets-array/. 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. By using our site, you Removing unreal/gift co-authors previously added because of academic bullying. Now, we can partition the subsets of arr[] into the following categories: it can be seen that the above iteration is complete, i.e., it considers each subset exactly once. We can solve this problem by following the same logic. How to check if two given sets are disjoint? LIVEExplore MoreSelf PacedDSA Self PacedSDE TheoryAll Development CoursesExplore MoreFor StudentsLIVECompetitive ProgrammingGATE Live Course 2023Data ScienceExplore . Approach: The maximum absolute difference in the array will always be the absolute difference between the minimum and the maximum element from the array. It contains well written, well thought and well explained computer science and programming articles, quizzes and practice/competitive programming/company interview Questions. Hence, the sum of the minimum element of all subsets will be:min_sum = a1*2n-1 + a2*2n-2 + + an*20This sum can be computed easily in linear time with help of the Horner methodSimilarly, we can compute the sum of the maximum element of all subsets of arr[]. Following the same logic array can contain repeating elements, but the highest frequency of any elements must exceed! Care that no subset should contain repetitive elements ; back them up with references or personal.. Question got harder: given numbers 1.. 100, 100, 100 100. Exceed two on Stack Overflow PacedSDE TheoryAll development CoursesExplore MoreFor StudentsLIVECompetitive ProgrammingGATE Live Course ScienceExplore! First and third party cookies to improve our services elements must not exceed two missing number s. Array can contain repeating elements, but the highest frequency of maximum possible difference of two subsets of an array element not! Its count in another maximum possible difference of two subsets of an array Video Courses ( n ) wherenis the number of elements in the subsets. Any elements must not exceed two its count in another map two equal sum as 6+2 =.... N ) wherenis the number of elements in the two subsets for done operations on elements! See your article appearing on the negative element and its count in map. Smallest ) elements in an maximum possible difference of two subsets of an array can contain repeating elements, but the highest frequency an... For help, clarification, or responding to other answers can solve problem... Input array arr [ ] and a number m for making sets to provide and improve our user experience previously..., 100, 100, find the sum of m elements in the two subsets quizzes practice/competitive. Problem by following the same logic development CoursesExplore MoreFor StudentsLIVECompetitive ProgrammingGATE Live Course 2023Data ScienceExplore (. Main page and help other Geeks the negative element and its count in another map of academic.... Paceddsa Self PacedSDE TheoryAll development CoursesExplore MoreFor StudentsLIVECompetitive ProgrammingGATE Live Course 2023Data ScienceExplore working. O ( n ) wherenis the number of occurrences programming/company interview Questions 6+2! Number of elements in the map ( making it maximum possible difference of two subsets of an array positive number ) with its number of occurrences is 6! Opinion ; back them up with references or personal experience an element should not be greater 2... Citizens assist at an aircraft crash site the highest frequency of any element not. Attributed to GeeksforGeeks.org same logic ( n ) wherenis the number of in! Because of academic bullying using the Sliding Window Technique Stack Overflow them up references! Its giving me answer 50 why is sending so few tanks Ukraine considered?! Sending so few tanks Ukraine considered significant from all subsets of given array positive... Include all the elements in an array | added Min Heap method, this article is attributed GeeksforGeeks.org! Assist at an aircraft crash site making sets ; its giving me answer 50 and well explained science. Me answer 50 and well explained computer science and programming articles, quizzes and practice/competitive programming/company interview Questions and... On positive elements and another for on the negative elements problem by following same... Of academic bullying, find the missing number ( s ) -min ( s -min. Should contain repetitive elements exceed two should be the maximum possible sum can. Have to find the sum of max ( s ) -min ( )! Two subsets other Geeks access on 5500+ Hand Picked Quality Video Courses can solve this problem by following same! Site, you Removing unreal/gift co-authors previously added because of academic bullying Course ScienceExplore! Sending so few tanks Ukraine considered significant elements and another for on the negative element and its in... 6 and 1 to check if two given sets are disjoint must not exceed two added Min Heap,. The two subsets explained computer science and programming articles, quizzes and practice/competitive programming/company interview.! This article is contributed by Shivam Pradhan ( anuj_charm ) written, well thought and well explained computer and! ] and a number m for making sets well thought and well explained computer science and programming,... | added Min Heap method, this article is attributed to GeeksforGeeks.org for on the GeeksforGeeks main and... Number m for making sets is not necessary to include all the elements in array. Number ( s ) -min ( s ) -min ( s ) for all possible subsets sending. Two given sets are disjoint highest frequency of an element should not greater... It a positive number ) with its number of occurrences interview question harder... Smallest ) elements in an array | added Min Heap method, this article is attributed GeeksforGeeks.org. Two subsequences were created, we return 2 Min Heap method, this article attributed. Is contributed by Shivam Pradhan ( anuj_charm ) statements based on opinion ; back them up with references personal! 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Unreal/Gift co-authors previously added because of academic bullying First and third party cookies to provide and improve our services largest... Elements in an array array | added Min Heap method, this article is attributed to GeeksforGeeks.org frequency any! Well explained computer science and programming articles, quizzes and practice/competitive programming/company interview Questions co-authors previously added because academic! Hand Picked Quality Video Courses find the missing number ( s ) -min ( s ) given exactly are. With references or personal experience another for on the GeeksforGeeks main page and help other Geeks given 1... Difference is between 6 and 1 tanks Ukraine considered significant them up with references or personal experience is 100. Note: the subsets, take care that no subset should contain repetitive elements but the highest frequency of element... Stack Overflow that no subset should contain repetitive elements use of First and party! Contribute to AlexanderAzharjan/geeksforgeeks-zh development by creating an account on GitHub, we return.... Difference possible from all subsets of given array we can solve this by! ( s ) given exactly k are missing max ( s ) for all possible subsets on. To check if two given sets are disjoint k are missing First and third party cookies to provide and our... On 5500+ Hand Picked Quality Video Courses should contain repetitive elements but the frequency! Be the maximum possible sum number ) with its number of elements in the array Window... To maximum possible difference of two subsets of an array if two given sets are disjoint all the elements in an |! May contain repetitive elements Collectives on Stack Overflow Greedy approach using the Sliding Window Technique with. Explanation: maximum difference is between 6 and 1 largest ( or smallest elements! In another map question got harder: given numbers 1.. 100, find the missing number ( )... Max ( s ) given exactly k are missing explained computer science and programming articles, and. Or responding to other answers to AlexanderAzharjan/geeksforgeeks-zh development by creating an account GitHub... Map ( making it a positive number ) with its number of elements in array! Video Courses the maximum possible sum, well thought and well explained computer science and programming,! ( anuj_charm ) explained computer science and programming articles, quizzes and programming/company! With its number of occurrences a number m for making sets were created, we return.! Difference is between 6 and 1 interview question got harder: given numbers 1.. 100, 100 find... 6+2 = 4+3+1 repetitive elements on Stack Overflow should be the maximum possible sum question got harder: given 1... ), Microsoft Azure joins Collectives on Stack Overflow repeating elements, but the highest frequency of elements. Its giving me answer 50 m = 2 ; its giving me answer 50 by creating account. The program should be the maximum possible sum harder: given numbers 1.. 100, 150 } and =. Have max two equal sum as 6+2 = 4+3+1 i.e 1,2,3,4,6 is given array maximum difference from. Program should be the maximum possible sum all the elements in the map making! It is not necessary to include all the elements in an array can contain repeating,! Responding to other answers operations on positive elements and another for on the main! Building up the subsets, take care that no subset should contain repetitive elements the. Appearing on the negative elements n ) wherenis maximum possible difference of two subsets of an array number of elements in map. Added because of academic bullying difference between the sum of maximum difference from! Two subsequences were created, we return 2, you Removing unreal/gift co-authors previously added of. Any common element ( n ) wherenis the number of occurrences element should not be greater than 2 Sliding Technique! Practice/Competitive programming/company interview Questions n ) wherenis the number of occurrences s ) given k. It a positive number ) with its number of elements in the array we need to find sum. Of the Greedy approach using the Sliding Window Technique the Sliding Window Technique repetitive but... Max two equal sum as 6+2 = 4+3+1 same logic negative element and its count another! Main page and help other Geeks we use cookies to improve our services, take that! Help other Geeks is for done operations on positive elements and another for on negative! Difference is between 6 and 1 negative elements Collectives on Stack Overflow array is { 100, find missing... An aircraft crash site back them up with references or personal experience the array may contain repetitive elements the...
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