A more efficient version of the function for computing Tetranacci numbers can be defined by following three steps:

1. Implement a function which takes a list of integers and adds the sum of the top four elements to the head of the list (e. g., in F#, 1::1::1:1::/) should become 4:-1:-1::1::1::]).
2. Implement a recursive function which accepts an integer n as input (again, assumen > 0), and returns a list of integers from 0 to n in ascending order
3. Implement a recursive function which computes the nth Tetranacci number in linear time. This function may use a linear amount of space to compute its result, but the number of recursive calls it makes must be linear in n. Your task is to follow the three steps above, in order to implement the requested function in F

Font size, font style, and are all aspects of character formatting.

Write a program to analyze student’s scores. each student’s id and 4 original test scores are saved in the attached file “student_id_scores. txt”. assume there are exactly 15 students in the class.• the program first opens the file, reads student’s ids and scores from the file and saves them in two arrays: o create a one-dimensional string array “ids” to store the student’s ids. o create a (parallel) two-dimensional int array “scores” to store student’s original test scores. this array has 5 columns, the original 4 test scores should be saved in the first 4 columns, and the last column will be used to save the average score after the calculation in next step.• the program then retrieves test scores from the array “scores”, calculates average score and determines the final letter grade based on the rules in the table below for each student. assume average score is integer value. average score = (score1 + score2 + score3 + score4) / 4average score letter grade90 ~ 100 a80 ~ 89 b70 ~ 79 c60 ~ 70 d0 ~ 60 f• the average score should be saved back in the 5th column of “scores” array.• create a new parallel one-dimensional char array “grades” to save each student’s letter grade.• program also needs to find the number of a, number of b, number of c, number of d and number of f grade. as well as the highest, lowest and average score of the class.• finally, program will display all of the original scores and all results on the computer screen using the format shown as the sample output below.• the program must contain at least the following functions: (1) a function “getscores” to read and store data into “ids” and “scores” arrays.(2) a function “analyzescores” to calculate student’s average score, determine letter grade, get the number of a, b, c, d and f, find the highest, lowest and average score of the class.(3) a function “displayresults” to display all of the results

The following if statement contains a logic error, not a syntax error. rewrite it so that it is correct. assume the variable age already exists and holds a valid number. if (age == 18 & & age == 19) {