Package g1701_1800.s1792_maximum_average_pass_ratio

Class Solution

  • All Implemented Interfaces:
    
public final class Solution

    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 <code>classesi = pass<sub>i</sub>, total<sub>i</sub></code>. You know beforehand that in the <code>i<sup>th</sup></code> class, there are <code>total<sub>i</sub></code> total students, but only <code>pass<sub>i</sub></code> 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 <code>10<sup>-5</sup></code> 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:

    • <code>1 <= classes.length <= 10<sup>5</sup></code>

    • classes[i].length == 2

    • <code>1 <= pass<sub>i</sub><= total<sub>i</sub><= 10<sup>5</sup></code>

    • <code>1 <= extraStudents <= 10<sup>5</sup></code>

    • Nested Class Summary

      Nested Classes 
      Modifier and Type Class Description

    • Field Summary

      Fields 
      Modifier and Type Field Description

    • Constructor Summary

      Constructors 
      Constructor Description
      Solution()

    • Enum Constant Summary

      Enum Constants 
      Enum Constant Description

    • Method Summary

      Modifier and Type Method Description
      final Double maxAverageRatio(Array<IntArray> classes, Integer extraStudents)

      • Methods inherited from class java.lang.Object

        clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait