Write a function: class Solution { public int solution (int) A); }
that, given a zero-indexed array A consisting of N integers representing the initial test scores of a row of students, returns an array of integers representing their final test scores in the same order).
There is a group of students sat next to each other in a row. Each day, students study together and take a test at the end of the day. Test scores for a given student can only change once per day as follows:
• If a student sits immediately between two students with better scores, that student's score will improve by 1 when they take the test.
• If a student sits between two students with worse scores, that student's test score will decrease by 1.
This process will repeat each day as long as at least one student keeps changing their score. Note that the first and last student in the row never change their scores as they never sit between two students.
Return an array representing the final test scores for each student once their scores fully stop changing. Test Ou
Example 1:
Input: (1,6,3,4,3,5]
Returns: (1,4,4,4,4,5]
On the first day, the second student's score will decrease, the third student's score will increase, the fourth student's score will decrease by 1 and the fifth student's score will increase by 1, i. e. (1,5,4,3,4,5). On the second day, the second student's score will decrease again and the fourth student's score will increase, i. e. (1,4,4,4,4,5). There will be no more changes in scores after that.

1. package newton’s method for approximating square roots (case study 3.6) in a function named newton. this function expects the input number as an argument and returns the estimate of its square root. the script should also include a main function that allows the user to compute square roots of inputs until she presses the enter/return key. 2. convert newton’s method for approximating square roots in project 1 to a recursive function named newton. (hint: the estimate of the square root should be passed as a second argument to the function.) 3. elena complains that the recursive newton function in project 2 includes an extra argument for the estimate. the function’s users should not have to provide this value, which is always the same, when they call this function. modify the definition of the function so that it uses a keyword parameter with the appropriate default value for this argument, and call the function without a second argument to demonstrate that it solves this problem. 4. restructure newton’s method (case study 3.6) by decomposing it into three cooperating functions. the newton function can use either the recursive strategy of project 1 or the iterative strategy of case study 3.6. the task of testing for the limit is assigned to a function named limitreached, whereas the task of computing a new approximation is assigned to a function named improveestimate. each function expects the relevant arguments and returns an appropriate value. 5. a list is sorted in ascending order if it is empty or each item except the last one is less than or equal to its successor. define a predicate issorted that expects a list as an argument and returns true if the list is sorted, or returns false otherwise. (hint: for a list of length 2 or greater, loop through the list and compare pairs of items, from left to right, and return false if the first item in a pair is greater.)

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