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g1701_1800.s1792_maximum_average_pass_ratio.readme.md Maven / Gradle / Ivy

1792\. Maximum Average Pass Ratio

Medium

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.

**Example 1:**

**Input:** classes = [[1,2],[3,5],[2,2]], `extraStudents` = 2

**Output:** 0.78333

**Explanation:** You can assign the two extra students to the first class. The average pass ratio will be equal to (3/4 + 3/5 + 2/2) / 3 = 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