Solution: Find the Smallest Divisor Given a Threshold
Understand how to apply a modified binary search to determine the smallest positive divisor of an integer array such that the sum of the ceiling divisions of each element stays within a given threshold. This lesson teaches a step-by-step approach to optimize the search process using monotonic properties and binary search techniques, enhancing problem-solving efficiency for coding interviews.
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Statement
Given an integer array nums and an integer threshold, choose a positive integer divisor such that when every element in nums is divided by divisor (with each result rounded up to the nearest integer), the total sum of the divided values is less than or equal to threshold. Return the smallest such divisor.
Note: Each division result is rounded up to the nearest integer (ceiling division). For example:
and . It is guaranteed that a valid answer always exists.
Constraints:
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