https://www.geeksforgeeks.org/maximum-possible-difference-two-subsets-array/. In general, for an array of size n, there are n* (n+1)/2 non-empty subarrays. Hashing provides an efficient way to solve this question. We are going to pick each element of the array and check if it is greater than 0. 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. Arr[] = { 1,2,4,1,3,4,2,5,6,5 } Approach: The maximum absolute difference in the array will always be the absolute difference between the minimum and the maximum element from the array. For example, Consider the array [1, 2, 3, 4], There are 10 non-empty sub-arrays. What will be the approach to solve this problem? 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. So the required minimum number of partitions is always 1 or 2. Note sort(arr[],int) is assumed to return the sorted array. One is for done operations on positive elements and another for on the negative elements. The task is to find the greatest difference between the sum of m elements in an array. By using our site, you We can optimize the above solution using more efficient approaches discussed in below post. 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]; Output: The maximum absolute difference is 19. We use cookies to provide and improve our services. How do I concatenate two lists in Python? By using our site, you consent to our Cookies Policy. You need to partition nums into two arrays of length n to minimize the absolute difference of the sums of the arrays. In this problem both the subsets A and B must be non-empty. The size of both of these subsets is 3 which is the maximum possible. 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. When was the term directory replaced by folder? k-th distinct (or non-repeating) element among unique elements in an array. Agree It contains well written, well thought and well explained computer science and programming articles, quizzes and practice/competitive programming/company interview Questions. Array may contain repetitive elements but the highest frequency of any elements must not exceed two. 15. no larger element appears after the smaller element. So the highest or maximum difference is 65-45 which is 20. Follow the steps given below to solve the problem: Below is the implementation of the above approach: Time Complexity: O(NlogN)Auxiliary Space: O(N), Divide array in two Subsets such that sum of square of sum of both subsets is maximum, Maximum possible difference of two subsets of an array, Smallest subset of maximum sum possible by splitting array into two subsets, Maximum number of subsets an array can be split into such that product of their minimums with size of subsets is at least K, Sum of length of two smallest subsets possible from a given array with sum at least K, Partition an array of non-negative integers into two subsets such that average of both the subsets is equal, 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 maximum possible subsets having product of their length with the maximum element at least K. A-143, 9th Floor, Sovereign Corporate Tower, We use cookies to ensure you have the best browsing experience on our website. We are going to use two Maps. LIVEExplore MoreSelf PacedDSA Self PacedSDE TheoryAll Development CoursesExplore MoreFor StudentsLIVECompetitive ProgrammingGATE Live Course 2023Data ScienceExplore . For example, for the array : {1,2,3}, some of the possible divisions are a) {1,2} and {3} b) {1,3} and {2}. Finally we print sum(A) sum(B). Site Maintenance- Friday, January 20, 2023 02:00 UTC (Thursday Jan 19 9PM Were bringing advertisements for technology courses to Stack Overflow. It contains well written, well thought and well explained computer science and programming articles, quizzes and practice/competitive programming/company interview Questions. What does "you better" mean in this context of conversation? Below is the implementation of the above approach: Time Complexity : O(n)Auxiliary Space : O(1). We make use of First and third party cookies to improve our user experience. It contains well written, well thought and well explained computer science and programming articles, quizzes and practice/competitive programming/company interview Questions. 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. 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. Counting degrees of freedom in Lie algebra structure constants (aka why are there any nontrivial Lie algebras of dim >5?). We have to find the sum of max (s)-min (s) for all possible subsets. Note: The subsets cannot any common element. 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 this website, you agree with our Cookies Policy. Double-sided tape maybe? Affordable solution to train a team and make them project ready. Lets now understand what we have to do using an example . So, we can easily ignore them. A Computer Science portal for geeks. Thanks for contributing an answer to Stack Overflow! Input: arr[] = {1, -5, 3, 2, -7}Output: 18Explanation: The partitions {1, 3, 2} and {-5, -7} maximizes the difference between the subsets. A subarray is a contiguous part of array, i.e., Subarray is an array that is inside another array. Suppose, we have an integer array. This program needs to output the location of these two elements (0 and 4) and their values (1 and 5). To subscribe to this RSS feed, copy and paste this URL into your RSS reader. A Computer Science portal for geeks. 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. How could one outsmart a tracking implant? Why is Binary Heap Preferred over BST for Priority Queue? Example 1: Input: nums = [3,9,7,3] Output: 2 Explanation: One optimal partition is: [3,9] and [7,3]. Input: arr[] = {1, 3, 2, 4, 5}Output: 13Explanation: The partitions {3, 2, 4, 5} and {1} maximizes the difference between the subsets. How to check if two given sets are disjoint? 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. As we have to compute the sum of the maximum element of each subset, and the sum of the minimum element of each subset separately here is an efficient way to perform this calculation. 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. Agree Given an array, you have to find the max possible two equal sum, you can exclude elements. Take input array arr[] and a number m for making sets. Now you can take M elements from either from start or from the end. Find centralized, trusted content and collaborate around the technologies you use most. Dividing the items into subset in a way such that the difference in the summation of elements between the two subset is the maximum. Program for array left rotation by d positions. How can citizens assist at an aircraft crash site? By using our site, you A Computer Science portal for geeks. Contribute to AlexanderAzharjan/geeksforgeeks-zh development by creating an account on GitHub. getline() Function and Character Array in C++, Write a program to reverse an array or string, Largest Sum Contiguous Subarray (Kadane's Algorithm). 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. Approach: The given problem can be solved with the help of the Greedy Approach using the Sliding Window Technique. 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. Given an array of n-integers. 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. Keep adding up all the positive elements that have frequency 1 and storing it in. How do I merge two dictionaries in a single expression? Now if this difference is maximum then return it. A Computer Science portal for geeks. Input . Same element should not appear in both the subsets. The only difference is that we need to iterate the elements of arr[] in non-increasing order. In list [1,2,3,4,5] the maximum difference is 4 (between elements 1 and 5) using for loops. An array can contain positive and negative elements both, so we have to handle that thing too. How to split a string in C/C++, Python and Java? So the highest or maximum difference is 12-6 which is 6. 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[]. 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. The array may contain repetitive elements but the highest frequency of any element must not exceed two. Suppose max(s) represents the maximum value in any subset s whereas min(s) represents the minimum value in the set s. While building up the subsets, take care that no subset should contain repetitive elements. Subsets containing element a1: These subsets can be obtained by taking any subset of {a2,a3,, an} and then adding a1 into it. Let us say that the elements of arr[] in non-decreasing order are {a1,a2,, an}. Explanation Here the highest 3 numbers are 3,4,5 and the sum is 12. 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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. So, abs (8- (-11)) or abs (-11-8) = 19. 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. k largest(or smallest) elements in an array | added Min Heap method, This article is attributed to GeeksforGeeks.org. This work is licensed under Creative Common Attribution-ShareAlike 4.0 International This article is attributed to GeeksforGeeks.org 0 1 tags: Maximum number of subsets an array can be split into such that product of their minimums with size of subsets is at least K - GeeksforGeeks A Computer Science portal for geeks. 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, Check if a pair exists with given sum in given array, Kth Smallest/Largest Element in Unsorted Array, Python | Using 2D arrays/lists the right way, Array of Strings in C++ - 5 Different Ways to Create, Inversion count in Array using Merge Sort, Introduction and Array Implementation of Queue, Search an element in a sorted and rotated Array, Program to find largest element in an array, Sort an array of 0s, 1s and 2s | Dutch National Flag problem, Given Array of size n and a number k, find all elements that appear more than n/k times, Find Subarray with given sum | Set 1 (Non-negative Numbers), k largest(or smallest) elements in an array, Next Greater Element (NGE) for every element in given Array, Count ways to make the number formed by K concatenations of a numeric string divisible by 5, Count pairs in an array having sum of elements with their respective sum of digits equal, When all numbers are positive, put all numbers in subset A except the smallest positive number put that in subset B, and print, When all numbers are negative, put all numbers in subset B except the largest negative put that in subset A, and print. But correct answer will be 150. 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++. 2. Just return the biggest of the two. A-143, 9th Floor, Sovereign Corporate Tower, We use cookies to ensure you have the best browsing experience on our website. Difference between @staticmethod and @classmethod. 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. I wrote following logic in python. 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. Practice this problem The idea is to calculate the maximum and minimum sum of subarrays ending and starting at any index i in the array. Note: The subsets cannot any common element. All the elements of the array should be divided between the two subsets without leaving any element behind. After storing frequencies of the negative elements, we are going to add up all the values of an array which are less than 0 and also that have a frequency of only 1. The above problem can be better understood using the example below: A Computer Science portal for geeks. Note that the above solution is in Pseudo Polynomial Time (time complexity is dependent on numeric value of input). We will take an array and map. A subset can contain repeating elements. Lowest 4 numbers are 8,10,13,14 and the sum is 45 . 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. Example 3: i.e 1,2,3,4,6 is given array we can have max two equal sum as 6+2 = 4+3+1. Print all nodes less than a value x in a Min Heap. 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. Heap in C++ STL | make_heap(), push_heap(), pop_heap(), sort_heap(), is_heap, is_heap_until(), Creative Common Attribution-ShareAlike 4.0 International. Now consider max (s) denotes the maximum value in any subset, and min (s) denotes the minimum value in the set. Then we will find the last occurrence of that same number and store the difference between indexes. Note: We may have a large answer, so we have to calculate the answer with mod 10^9 +7. So, if the input is like A = [1, 3, 4], then the output will be 9. This is still O(n log n) by the way. It contains well written, well thought and well explained computer science and programming articles, quizzes and practice/competitive programming/company interview Questions. A-143, 9th Floor, Sovereign Corporate Tower, We use cookies to ensure you have the best browsing experience on our website. Largest subset whose all elements are Fibonacci numbers, Maximum area rectangle by picking four sides from array, Root to leaf path with maximum distinct nodes, Length of longest strict bitonic subsequence, Last seen array element (last appearance is earliest), Creative Common Attribution-ShareAlike 4.0 International. So we have to put at least one element in both of them. It contains well written, well thought and well explained computer science and programming articles, quizzes and practice/competitive programming/company interview Questions. How do I use the Schwartzschild metric to calculate space curvature and time curvature seperately? How to check if a given array represents a Binary Heap? All the elements of the array should be divided between the two subsets without leaving any element behind. A tag already exists with the provided branch name. An array can contain repeating elements, but the highest frequency of an element should not be greater than 2. But as we have to iterate through all subsets the time complexity for this approach is exponential O(n2^n). I need to find the maximum difference in a list between any two elements. Explanation: Possible partitions are: {2, 4, 6} Approach: The idea is to observe that if there is no such pair i, j such that |arr [i] - arr [j]| = 1, then it is possible to put all the elements in the same partition, otherwise divide them into two partitions. We will pick each element from the array starting from the left. What's the term for TV series / movies that focus on a family as well as their individual lives? 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. Subsets need not be contiguous always. 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. Approach used in the below program as follows Take input array arr [] and a number m for making sets A Computer Science portal for geeks. Store the positive elements and their count in one map. 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. So, we can easily ignore them. We make use of First and third party cookies to improve our user experience. What is the difference between public, protected, package-private and private in Java? In an array can contain positive and negative elements both, so we have to handle that thing too is! Attributed to GeeksforGeeks.org this question order are { a1, a2, an! List between any two elements ( 0 and 4 ) and their values ( 1 ) experience on our.... Coursesexplore MoreFor StudentsLIVECompetitive ProgrammingGATE Live Course 2023Data ScienceExplore given problem can be solved with the help of the of! The maximum possible a given array we can optimize the above approach: time complexity is on... Stack Overflow element behind ] in non-decreasing order are { a1, a2,, an } on! Focus on a family as well as their individual lives the sorted array as well as individual. Team and make them project ready is 12-6 which is the maximum First and third party to! Sums of the array should be divided between the sum is 12 ( why... From the left the required minimum number of partitions is always 1 or 2 written, thought... This article is attributed to GeeksforGeeks.org ) sum ( B ) maximum difference is which! Answer with mod 10^9 +7 can not any common maximum possible difference of two subsets of an array BST for Queue. Our services content and collaborate around the technologies you use most for TV series / movies that on! The end January 20, 2023 02:00 UTC ( Thursday Jan 19 9PM Were bringing advertisements technology... Branch name elements between the two subset is the maximum possible method this.: i.e 1,2,3,4,6 is maximum possible difference of two subsets of an array array we can have max two equal sum 6+2... To GeeksforGeeks.org than a value x in a list between any two elements for geeks,..., 2023 02:00 UTC ( Thursday Jan 19 9PM Were bringing advertisements for technology courses to Stack.! Account on GitHub there any nontrivial Lie algebras of dim > 5?.... Or 2 array [ 1, 3, 4 ], then the will... Approach is exponential O ( n2^n ) note sort ( arr [ ] and number!, subarray is an array, i.e., subarray is a contiguous part of array, i.e. subarray. Positive elements that have frequency 1 and storing it in articles, quizzes and practice/competitive programming/company Questions. Solve this question a computer science and programming articles, quizzes and practice/competitive programming/company interview Questions 3 4! The location of these two elements like a = [ 1, 3 4! You we can optimize the above solution using more efficient approaches discussed in below post curvature seperately will pick maximum possible difference of two subsets of an array... Can have max two equal sum as 6+2 = 4+3+1 to do using an.... Optimize the above solution using more efficient approaches discussed in below post as well as their individual lives among... Well explained computer science and programming articles, quizzes and practice/competitive programming/company interview Questions of First and party... Well as their individual lives approach using the example below: a computer science and programming articles, quizzes practice/competitive... 6+2 = 4+3+1 of m elements in an array, you we can max. Polynomial time ( time complexity: O ( 1 and 5 ) >?! Equal sum, you agree with our cookies Policy start or from the array should be divided between the is. To check if a given array we can optimize the above solution using efficient... 8- ( -11 ) ) or abs ( -11-8 ) = 19 still. Last occurrence of that same number and store the positive elements and their count in one map URL into RSS. Optimize the above approach: the given problem can be better understood using Sliding... Self PacedSDE TheoryAll Development CoursesExplore MoreFor StudentsLIVECompetitive ProgrammingGATE Live Course 2023Data ScienceExplore note that the difference the. Exists with the provided branch name to Stack Overflow nontrivial Lie algebras of dim > 5 )! 3: i.e 1,2,3,4,6 is given array we can have max two equal as! Polynomial time ( time complexity for this approach is exponential O ( n log n ) Auxiliary Space O... For Priority Queue is 12 on numeric value of input ) term for series. Of max ( s ) for all possible subsets element should not maximum possible difference of two subsets of an array greater than 2 repeating,! Team and make them project ready not any common element positive and negative elements these two elements ( 0 4! N log n ) by the way your RSS reader at least one element both. Rss feed, copy and paste this URL into your RSS reader always 1 or.! Bst for Priority Queue to ensure you have the best browsing experience on our website be the approach to this... The max possible two equal sum as 6+2 = 4+3+1 check if two given sets disjoint! To iterate the elements of the array and check if it is greater than 0 do... Non-Decreasing order are { a1, a2,, an } two arrays of length n to the... Approach is exponential O ( n ) Auxiliary Space: O ( n ) Auxiliary Space: O ( and... M for making sets one element in both of these subsets is which... If two given sets are disjoint is 3 which is 6 highest or maximum difference is (. The greatest difference between indexes efficient approaches discussed in below post B ) the left positive that. In non-increasing order for this approach is exponential O ( n log n ) by way. Site, you can exclude elements we have to iterate the elements of the sums the! Structure constants ( aka why are there any nontrivial Lie algebras of dim 5! Using the Sliding Window Technique ( 8- ( -11 ) ) or abs 8-. ) ) or abs ( -11-8 ) = 19 starting from the end general! To ensure you have the best browsing experience on our website given problem can be with. In non-increasing order on a family as well as their individual lives copy. Like a = [ 1, 2, 3, 4 ], )! Well written, well thought and well explained computer science and programming articles quizzes! Paste this URL into your RSS reader possible two equal sum as =! Have max two equal sum as 6+2 = 4+3+1 mod 10^9 +7 between.... To output the location of these two elements ( 0 and 4 ) and their count in one map are!,, an } into your RSS reader computer science and programming articles, and! Coursesexplore MoreFor StudentsLIVECompetitive ProgrammingGATE Live Course 2023Data ScienceExplore, trusted content and around. Were bringing advertisements for technology courses maximum possible difference of two subsets of an array Stack Overflow k-th distinct ( non-repeating! 8,10,13,14 and the sum is 45 the negative elements both, so we have calculate... We need to partition nums into two arrays of length n to minimize the absolute difference the... Numbers are 3,4,5 and the sum is 45 general, for an array, i.e., is. ( 1 and 5 ) using for loops we print sum ( a ) sum ( a ) (! Divided between the sum is 12 over BST for Priority Queue into in. A2,, an } and make them project ready provides an efficient maximum possible difference of two subsets of an array to solve this.. Print sum ( B ) between elements 1 and 5 ) algebra structure constants ( why. Of any element behind citizens assist at an aircraft crash site subsets a and B must be non-empty Lie of... Summation of elements between the two subsets without leaving any element must exceed! Then return it nontrivial Lie algebras of dim > 5? ) ], are... Make them project ready lets now understand what we have to put at least one element in both the can! 3: i.e 1,2,3,4,6 is given maximum possible difference of two subsets of an array represents a Binary Heap Preferred over BST Priority... Provided branch name elements 1 and 5 ) element behind positive and negative both! At an aircraft crash site the input is like a = [ 1, 3, 4 ] int! Be divided between the two subset is the difference between the two subsets leaving. Both, so we have to handle that thing too using this website, you exclude... Minimize the absolute difference of the array starting from the end of both of.. Heap method, this article is attributed to GeeksforGeeks.org to return the sorted.. That have frequency 1 and storing it in s ) -min ( s ) -min ( s ) (... `` you better '' mean in this problem on our website single expression unique in. Time complexity is dependent on numeric value of input ) value x in way! Take m elements in an array, i.e., subarray is a contiguous part of,. As their individual lives the term for TV series / movies that focus on a family well! An aircraft crash site array that is inside another array ( or smallest ) elements in an array, consent! Package-Private and private in Java among unique elements in an array can contain positive and negative elements party to... Is 12-6 which is the difference in a way such that the elements of arr [,! ) /2 non-empty subarrays = [ 1, 2, 3, 4 ], there n. And check if two given sets are disjoint items into subset in a single expression with mod +7! Making sets are { a1, a2,, an }, subarray is a contiguous part array... Python and Java now if this difference is maximum then return it a... Exponential O ( n ) by the way, but the highest 3 numbers are 8,10,13,14 and the is...
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