# partition of a set into k subsets with equal sum

» C Join our Blogging forum. edit A set is given. For each of these choices, we recursively search with one less number to consider in nums. Each time when we get a cur_sum = sum/k, we will start from position 0 in nums[] to look up the elements that are not used yet and find another cur_sum = sum/k. » PHP ( Log Out / Visit The Algorists! Our goal reduces to divide array into K parts where sum of each part should be array_sum/K Firstly, we calculate the total Sum = 779 and K = 3. If we get partitions less than the required number then we can choose a required number of partitions whose sum is less than the bound and split it such that both have individual sums less than the bound. ( Log Out / » SEO Fill in your details below or click an icon to log in: You are commenting using your WordPress.com account. When the first integer is added at index 0 of groups array and the search(…) is recursively called. To solve this, we will follow these steps −, Let us see the following implementation to get a better understanding −, Partition Array Into Three Parts With Equal Sum in Python, Print triplets with sum less than or equal to k in C Program, Find the largest area rectangular sub-matrix whose sum is equal to k in C++, Sum of XOR of all possible subsets in C++, Maximum average sum partition of an array in C++, Equal partition of an array of numbers - JavaScript, Partition Array for Maximum Sum in Python, Sum of the products of all possible Subsets in C++, Maximum subset with bitwise OR equal to k in C++, C++ Program to Generate All Possible Subsets with Exactly k Elements in Each Subset, Count all distinct pairs with difference equal to k in C++. Only if cur_sum = sum/k && cur_num >0, we can start another look up process. If sum of array is not divisible by K, then it is not possible to divide the array. Even if you are settled down in your job, keeping yourself up-to-date with the latest Interview Problems is essential for your career growth. Examples: » Articles 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. We would be thrilled to read them. of subset with equal sum is a problem of combination and we solve it using backtracking.

To make K no. Given an array of integers nums and a positive integer k, find whether it's possible to divide this array into k non-empty subsets whose sums are all equal. Suppose we have an array of integers called nums and a positive integer k, check whether it's possible to divide this array into k non-empty subsets whose sums are all same. No subscription required! If K is 1, then we already have our answer, complete array is only subset with same sum. » HR Are you a blogger? » CS Basics These tricks are not necessary to solve the problem, but they are presented in the solutions below.

Here it’s not necessary that the number of elements present in the set is equal. » Data Structure & ans. Get hold of all the important DSA concepts with the DSA Self Paced Course at a student-friendly price and become industry ready. All elements of this array should be part of exactly one partition. Good luck with your Programming Interview! Read Repair and Anti-Entropy : Two Ways To Remedy Replication Lag in Dynamo-style Datastores (Leaderless Replication), Replication Lag: A Problem Faced in Eventual Consistency and Asynchronous Replication, and Some Work-Arounds, Leaderless Replication: Dynamo-style, Quorum Consensus, Eventual Consistency, High Availability, Low Latency, Write Conflicts Handling in Multi-Leader Distributed Database Replication Using “Convergence Towards A Consistent State” Technique, Java Primitive Data Types : Their Size & Default Values, Advantages of Multi-Leader Replication over Single-Leader Replication in Multi-Data Center Deployment, Evolution of Push Technologies : From Regular HTTP to Long Polling to WebSocket, Iterative Inorder Traversal Implementation and It’s Various Uses Cases, Union-Find Data Structure or Disjoint Set Union (DSU) Data Structure, Scaling From Single User to Million Users: Step-By-Step, Strategic Way To Solve Combinatorial Problems And Code A BACKTRACK Solution, Lesson Learnt From The Error “ORA-01000: maximum open cursors exceeded” – Always Close ResultSet and Statement Even After Closing The Connection If You Are Using Connection Pool, As we skip additional zeroes in groups, for the first k integers we will make a total of. brightness_4 » Embedded C Partition to k equal sum subsets nums, size = 7 and #of partitions, k = 4 First check whether it is possible to make k subsets of the array. Experience. Kindly Share it on the comments section below. » Facebook 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. When the answer is true and involves subsets with a low size, this method of placing elements will consider these lower size subsets sooner.

A natural approach is to simulate the k groups (disjoint subsets of nums).

Change ), You are commenting using your Google account. » Python Just me explaining how to solve this Leetcode problem. 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. Add to List. » About us Then we will choose any of the value from starting and start our backtracking algorithm according to that and find the subsets with equal sum.

Interview que. Invariance condition meted. » Contact us By using our site, you Given an array of integers nums and a positive integer k, find whether it’s possible to divide this array into k non-empty subsets whose sums are all equal. Partition of a set into K subsets with equal sum.

Medium. The best stories sent monthly to your email. Writing code in comment? Solved programs: » C# Web Technologies: Firstly, we know that each of the k group-sums must be equal to target = sum(nums) / k. (If this quantity is not an integer, the task is impossible.) A compilation of 100 Java(Interview) Programming problems which have been solved. » Embedded Systems

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. Change ), You are commenting using your Facebook account. If the target sum cannot be achieved, or if you can only reach to the target with an index that has already been visited. And since we are calling the search() method recursively for each of the N integers in the nums array, this gives us the time complexity of. » Web programming/HTML ❤ We can feature your method in one of the blog posts. If N < K, then it is not possible to divide array into subsets with equal sum, because we can’t divide the array into more than N parts. Thank you for reading it.

I got a very interesting problem today which I thought would be great sharing. Interview coding problems/challenges, Partition a set into k subset with equal sum: Here, we are going to learn to make partitions for k subsets each of them having equal sum using backtracking.

to ace technical interviews. Do you think you really know about Fibonacci Numbers? Given an array of integers nums and a positive integer k, find whether it's possible to divide this array into k non-empty subsets whose sums are all equal. In below code a recursive method is written which tries to add array element into some subset. Featured on Meta Hot Meta Posts: Allow for removal … The above steps would be true unless the groups array of length k has at least one integer in all of its indices, i.e, for the last k integers of the integer array nums. Computing the time complexity of the recursive algorithm was real fun. For each recursion, check if the current target sum can be achieved , if it can be then return true. For the first integer the loop will be iterated only once. » Content Writers of the Month, SUBSCRIBE If you come across any of these questions in your interview. We will sum up all the values and divide the Sum by K. Please write to us at contribute@geeksforgeeks.org to report any issue with the above content. » DBMS This is a standard interview problem to make partitions for k subsets each of them having equal sum using backtracking. Partition of a set into K subsets with equal sum. » Machine learning

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» Kotlin » O.S. Please write comments if you find anything incorrect, or you want to share more information about the topic discussed above. You have to make K subsets by which all of the subsets have equal sum. I want to do this with a set of values not more than 10 integers, with values not bigger than 10 , and less than 5 subsets.

Input : arr, Output : Yes Quorum Consensus: How the read and write operations work? » DBMS And the depth of the search tree is the max number of elements we can put in a group, which is N - k + 1. the time complexity is O(k^(n-k+1)) or O(k^(n-k)). This article is contributed by Utkarsh Trivedi. 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. Before we move on to the first problem, If you are wondering why I chose LinkedIn, Yahoo and Oracle over FAANG is because I have completed a challenge Focusing on Amazon and Facebook Interview Questions in this Series: Given an array of integers nums and a positive integer k, find whether it's possible to divide this array into k non-empty subsets whose sums are all equal. If number of subsets whose sum reaches the required sum is (K-1), we flag that it is possible to partition array into K parts with equal sum, because remaining elements already have a sum equal to required sum. So, 779 is divisible by 3. If that sum is not divisible by k. Then we cannot partition into k different elements, so return false. : Return false. » Privacy policy, STUDENT'S SECTION » Ajax In every recursion, we at most try k groups, which means the search tree has k branches at most. If sum of this subset reaches required sum, we iterate for next part recursively, otherwise we backtrack for different set of elements.

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