Painter's Partition
Binary Search on Answers DSA practice problem on Onlearn.
Difficulty: hard.
Topics: Painter's Partition Problem – Allocating Boards to Minimize Painting Time, Arrays, Binary Search, Brute Force, Time Complexity, Space Complexity, complexity analysis, constraints, greedy algorithm, optimization, binary search, Allocation Problems, Binary Search on Answer.
Painter's Partition Problem Given an array boards of length N, where each element boards[i] represents the length of the i th board. There are K painters available to paint these boards. Each unit of a board takes 1 unit of time to paint. You are supposed to return the minimum time required to get this job done of painting all the N boards under the constraint that any painter will only paint continuous sections of boards. The painters work simultaneously, and the total time taken is determined by the painter who takes the maximum time. Input Specification: N: The number of boards. boards[]: An array/list of integers representing the length of each board. K: The number of available painters. Output Specification: Return an integer representing the minimum time required to paint all boards. Constraints: 1 <= N <= 10^5 1 <= boards[i] <= 10^9 1 <= K <= N Example 1: Example 2: