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partition of a set into k subsets with equal sum

You have now reached the end of this article. Given an integer array of N elements, the task is to divide this array into K non-empty subsets such that the sum of elements in every subset is same. Find the sum of all elements of the array. One important speedup is that we can ensure all the 0 values of each group occur at the end of the array groups, by enforcing if (groups[i] == 0) break;. Visit The Algorists! Languages: The recursive call of the search(…) method in the previous step (Step 1, here) inserts the seconds last integer of the nums array in the groups arrays and recurse itself again. brightness_4 Please use ide.geeksforgeeks.org, generate link and share the link here. If the K equals to 1 then it always true and the value of K is greater than N then it is impossible so it is false then. » DBMS acknowledge that you have read and understood our, 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 print all permutations of a given string, Given an array A[] and a number x, check for pair in A[] with sum as x, The Knight's tour problem | Backtracking-1, Print all paths from a given source to a destination, Count all possible paths between two vertices, Print all permutations of a string in Java, Printing all solutions in N-Queen Problem, Print all possible paths from top left to bottom right of a mXn matrix, Top 20 Backtracking Algorithm Interview Questions, Find Maximum number possible by doing at-most K swaps, Travelling Salesman Problem implementation using BackTracking, Warnsdorff's algorithm for Knight’s tour problem, Generate all the binary strings of N bits, Print all possible strings that can be made by placing spaces, 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), Number of times an array can be partitioned repetitively into two subarrays with equal sum, Count subsets having product divisible by K, Root to leaf path sum equal to a given number, Root to leaf path sum equal to a given number in BST, Smallest power of 2 which is greater than or equal to sum of array elements, Shortest root to leaf path sum equal to a given number, Convert a Binary Tree into its Mirror Tree, Merge an array of size n into another array of size m+n, Convert 1 into X in min steps by multiplying with 2 or 3 or by adding 1, Split a Numeric String into Fibonacci Sequence, Print all Jumping Numbers smaller than or equal to a given value, Combinations where every element appears twice and distance between appearances is equal to the value, Print all paths of the Binary Tree with maximum element in each path greater than or equal to K, Smallest number with given sum of digits and sum of square of digits, Find N'th item in a set formed by sum of two arrays, Print all longest common sub-sequences in lexicographical order, Difference between Backtracking and Branch-N-Bound technique, Rat in a Maze Problem when movement in all possible directions is allowed, N-Queen Problem | Local Search using Hill climbing with random neighbour, Find if there is a path of more than k length from a source, Solving Cryptarithmetic Puzzles | Backtracking-8, Print the DFS traversal step-wise (Backtracking also), Write Interview to ace technical interviews. Partition to K Equal Sum Subsets. » Feedback Asynchronous Programming Made Easy: Async – Await – Task, Things To Keep In Mind While Building A Scalable Distributed System, Cheapest Flight With Given Number of Stops : Application of Dijkstra’s Algorithm, Finding All Paths Between Two Nodes in A Graph, Computing Shortest Path(s) between Two Nodes in A Graph. Quorum Consensus: How the read and write operations work? Fill in your details below or click an icon to log in: You are commenting using your WordPress.com account. ( Log Out /  » Python Input : arr, Output : Yes So, 779 is divisible by 3. » News/Updates, ABOUT SECTION Partition Equal Subset Sum is a problem in which we have given an array of positive numbers. By using our site, you 4 Incredibly Useful Linked List Tips for InterviewTop 25 Amazon SDE Interview QuestionsDo you think you really know about Fibonacci Numbers?9 Best String Problems Solved using C ProgrammingOne Does not Simply Solve 50 Hacker Rank Challenges. The dfs process is to find a subset of nums[] which sum equals to sum/k.

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