Functions and Algorithms

Created By: Geoffrey Challen

/ Version: 2022.2.0

Write a method arrayIsAllLarger that, given two Int arrays, returns true if all the values in the first array are larger than or equal to all the values in the same position in the second array. If the first array is longer than the second array, or the second array is longer than the first array, then the extra values can be ignored. If either array is empty, return false.

For example, given {1, 2, 4} and {0, 1, 7}, you should return false, since 7 is greater than 4. Given {1, 2, 4} and {0, 1} you should return true, since the first two values of the first array are greater than the first two values of the second array. Given {1, 2, 4} and {0, 1, 3, 8}, you should return true, since the first three values of the first array are greater than the first three values of the second array. Given {1, 2} and {1, 2}, you should return true, since all values in the two arrays are equal.

Created By: Geoffrey Challen

/ Version: 2022.2.0

Create a method named catchupGrading that accepts an array of Double values and implements the following catch-up grading policy. Given a score on Quiz N, if a student does better on the next quiz (Quiz N + 1), then you should replace their score on Quiz N with the average of their score on Quiz N and their score on Quiz N + 1. Otherwise, their score on Quiz N is unchanged. Return the number of times that the student does strictly better on the next quiz than they did on the previous one.

Scores are stored in the array in order. So, given an array with the scores {100.0, 80.0, 90.0}, you would modify the array to contain {100.0, 85.0, 90.0}, and return 1.

A few hints about how to approach this problem. You'll want to use a loop to go through each pair of scores in the array, so in the loop you'll be examining both one quiz and the next. This loop is similar to but a bit different from the one that we're used to writing. Your function should modify the values in the passed array.

Homework: Catchup Quiz Grading With Skips

Created By: Geoffrey Challen

/ Version: 2022.8.0

Create a method named catchupGradingWithSkips that accepts an array of Double values and implements the following catch-up grading policy. Given a score on Quiz N, if a student both took Quiz N and does better on the next quiz (Quiz N + 1), then you should replace their score on Quiz N with the average of their score on Quiz N and their score on Quiz N + 1. Otherwise, their score on Quiz N is unchanged. If a student does not take a quiz, their score is recorded as -1.0. Return the number of times that you apply the catchup grading policy—specifically that the student took the previous quiz and does strictly better on the next quiz than they did on the previous one.

Scores are stored in the array in order. So, given an array with the scores {100.0, 80.0, 90.0}, you would modify the array to contain {100.0, 85.0, 90.0}, and return 1. And, given an array with the scores {100.0, -1.0, 90.0}, you would not modify the array and return 0, because in this case the student did not take the second quiz.

A few hints about how to approach this problem. You'll want to use a loop to go through each pair of scores in the array, so in the loop you'll be examining both one quiz and the next. This loop is similar to but a bit different from the one that we're used to writing. Your function should modify the values in the passed array.