Divide array into k contiguous partitions such that sum of maximum partition is...
Divide array into k contiguous partitions such that sum of maximum partition is minimum. When k>=4, the answer will be just the largest element of the Feb 17, 2018 · I have a problem: given an array A of values and integer K, split A into exactly K non-overlapping contiguous subarrays in such way that difference between a subarray with minimal and a subarray maximum sums is minimal. Jul 4, 2025 · The provided code addresses the problem of splitting an array into a specified number of partitions such that the maximum sum of any partition is minimized. Given an integer array arr, partition the array into (contiguous) subarrays of length at most k. The sum of ranges in each group need to be minimal. For example: N = 4, K Sep 18, 2023 · Given an array of n integers, divide it into k segments and find the maximum of the minimums of k segments. Note: All elements of this array should be part of exactly one partition. Given an array of numbers and an integer K, split the array into K partitions such that the maximum sum of any partition is minimized. A subarray is a contiguous part of the array. Otherwise, print " -1 ". Apr 14, 2019 · An array of size n (n<=50) containing positive integers is given. Return the largest sum Jul 23, 2025 · Given an array arr [] of size N and a number K, the task is to partition the given array into K contiguous subarrays such that the sum of the maximum of each subarray is the maximum possible. Once only one partition remains, the rest of the elements are grouped, and the overall minimum of the maximum subarray sums is recorded. This optimal approach uses binary search for efficient performance. Sep 24, 2016 · DP[n,n] - Whenever the number of partitions are equal to the number of elements left in the array there is only one legal way to divide it - each element in a different partition, so the partition with the maximum sum is the maximum element in the array. Can you solve this real interview question? Split Array Largest Sum - Given an integer array nums and an integer k, split nums into k non-empty subarrays such that the largest sum of any subarray is minimized. Examples: Jul 24, 2021 · We have to divide this array into k consecutive blocks such that the maximum of the sum of each block comes out to be minimum. In other words, if we sort these individual segments, the whole array becomes sorted. Given an integer array arr [ ] and an integer k, the task is to check if the array arr [ ] could be divided into k non-empty subsets with equal sum of elements. For example an array has elements: 5,10,21,20 If k=2, the array can be divided in 2 sub-arrays: {5,10,21} and {20}. We need to find a valid partition with maximum number of subarrays. Sep 8, 2022 · We are given an array of N integers, we need to partition the array into segments such that every element of a segment is greater than every element of previous segment. Apr 26, 2017 · So, more formally speaking, I'm getting N numbers and need to divide them into K groups that non of this groups are empty. Split the array ‘A’ into ‘K’ non-empty subarrays such that the largest sum of any subarray is minimized. Your task is to return the minimized largest sum of the split. Problem Statement: Given an integer array ‘A’ of size ‘N’ and an integer ‘K'. Minimum of both segments are 1 and 5 The difference between the maximum and minimum value in the first subsequence is 2 - 1 = 1. Examples: Input : arr[] = {1, 2, 3, 6, 5} k = 2 Output: 5 Explanation: There are many ways to create two segments. Examples: input: arr [] = {3 1 2 4 100 7 9} Output : 3 You should . Since two subsequences were created, we return 2. This scenario is tackled using a binary search approach over potential sums, implementing it in Python. Return the minimized largest sum of the split. 2 I need to divide an array into k or less subparts to minimize the maximum sum of each part. Return the sum. We have to return this value. The optimal segments are (1, 2, 3) and (6, 5). At each step, we pick a new partition point and update the current max sum. We have to return the maximum sum of the subarray (36 in above example). Learn how to split an array into K contiguous subarrays such that the largest subarray sum is minimized. The difference between the maximum and minimum value in the second subsequence is 3 - 3 = 0. Note that another optimal solution is to partition nums into the two subsequences [1] and [2,3]. After partitioning, each subarray has their values changed to become the maximum value of that subarray. You have to divide the array into k contiguous subarrays in such a way that the bitwise AND of all subarray sums is maximized. If it is possible to split the array in such a manner, then print the maximum possible sum. Output the maximum integer that can be obtained among all ways to segment in k subarrays. Jul 12, 2025 · The idea is to recursively try all ways to split the array into k contiguous subarrays, tracking the maximum sum in each split. For eg: [5, 10, 30, 20, 15] can be partitioned as 5 10 | 30 | 20 15 to give the maximum partition sum as max (15, 30, 35) = 35 which is the minimum in this case hence the code should return 35. kjaixxuhgypmahddwvkppfbqpupatcwcehdmdbpirtebh