I am trying to solve the Koko Eating Bananas problem using binary search, but I want to confirm whether my approach and logic are correct and optimized.

Problem statement (brief):

Given an array arr[] where each element represents a pile of bananas, and an integer k representing total hours, Koko can eat from only one pile per hour at a fixed speed s (bananas/hour).

The task is to find the minimum value of s such that all bananas can be eaten within k hours.

My Approach

Minimum possible speed = 1

Maximum possible speed = max(arr)

Use binary search on the speed

For a given speed mid, calculate total hours using

ceil(arr[i] / mid)

If total hours ≤ k, try a smaller speed

Code (HTML + JavaScript)

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My Questions

Is binary search the correct approach for this problem?

Is my time complexity optimal for large inputs?

Are there any edge cases or improvements I should consider?

Any feedback or corrections would be appreciated.

Thanks in advance!