[Solved] Consider an algorithm that sorts box types by units per box in descending order and then iteratively loads boxes until the... What is the overall time complexity of this approach given n box types? | Greedy Algorithms

Greedy Algorithms - Maximum Units on a Truck

Consider an algorithm that sorts box types by units per box in descending order and then iteratively loads boxes until the truck is full. What is the overall time complexity of this approach given n box types?

AO(n log n)

BO(n^2)

CO(log n)

DO(n)

Step-by-Step Solution

Solution:

Step 1: Sorting the box types
The algorithm sorts the array of box types by units per box in descending order. Sorting takes O(n log n) time.
Step 2: Iterating through sorted box types
After sorting, the algorithm iterates through the list once to pick boxes until the truck is full, which takes O(n) time.
Final Answer:
Option A -> Option A
Quick Check:
Sorting dominates iteration [OK]

Quick Trick: Sorting dominates complexity, so O(n log n) [OK]

Common Mistakes:

MISTAKES

Assuming iteration dominates and choosing O(n)
Confusing sorting with nested loops leading to O(n^2)
Ignoring sorting step complexity

Trap Explanation:

PITFALL

Ignoring sorting step leads to underestimating complexity

Interviewer Note:

CONTEXT

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More Greedy Algorithms Quizzes

What is the overall time complexity of this approach given n box types?

Step 1: Sorting the box types

Step 2: Iterating through sorted box types

Final Answer:

Quick Check:

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