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How to Solve Maximum Average Pass Ratio Problem
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LeetCode ProblemMaximum Average Pass Ratio
There is a school that has classes of students and each class will be having a final exam. You are given a 2D integer array classes, where classes[i] = [passi, totali]. You know beforehand that in the ith class, there are totali total students, but only passi number of students will pass the exam. You are also given an integer extraStudents. There are another extraStudents brilliant students that are guaranteed to pass the exam of any class they are assigned to. You want to assign each of the extraStudents students to a class in a way that maximizes the average pass ratio across all the classes. The pass ratio of a class is equal to the number of students of the class that will pass the exam divided by the total number of students of the class. The average pass ratio is the sum of pass ratios of all the classes divided by the number of the classes. Return the maximum possible average pass ratio after assigning the extraStudents students. Answers within 10-5 of the actual answer will be accepted.
ArrayGreedyHeap (Priority Queue)
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Problem Breakdown
Understanding the Maximum Average Pass Ratio Problem
Let's break down this LeetCode problem and understand what makes it challenging in interview settings.
Problem Statement
There is a school that has classes of students and each class will be having a final exam. You are given a 2D integer array classes, where classes[i] = [passi, totali]. You know beforehand that in the ith class, there are totali total students, but only passi number of students will pass the exam. You are also given an integer extraStudents. There are another extraStudents brilliant students that are guaranteed to pass the exam of any class they are assigned to. You want to assign each of the extraStudents students to a class in a way that maximizes the average pass ratio across all the classes. The pass ratio of a class is equal to the number of students of the class that will pass the exam divided by the total number of students of the class. The average pass ratio is the sum of pass ratios of all the classes divided by the number of the classes. Return the maximum possible average pass ratio after assigning the extraStudents students. Answers within 10-5 of the actual answer will be accepted.
MediumProblem #1792
LeetCodeMaximum Average Pass Ratio
Related Topics
ArrayGreedyHeap (Priority Queue)
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Examples
# Example 1
Input
classes = [[1,2],[3,5],[2,2]], extraStudents = 2
Output
0.78333
# Example 2
Input
classes = [[2,4],[3,9],[4,5],[2,10]], extraStudents = 4
Output
0.53485
Constraints
1 <= classes.length <= 105
classes[i].length == 2
1 <= passi <= totali <= 105
1 <= extraStudents <= 105
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Solve Maximum Average Pass Ratio — There is a school that has classes of students and each class will be having a f...
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def solve(input):
# Optimal O(n) solution
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Time: O(n) | Space: O(n)
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Frequently Asked Questions
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Phantom Code catches common mistakes like off-by-one errors, missing edge cases, incorrect base conditions, and suboptimal approaches. It provides clean, well-structured code that handles all edge cases.
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The AI provides structured guidance: first the approach (what algorithm/data structure to use and why), then the implementation with clean code, and finally complexity analysis. This helps you think clearly even under pressure.
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