Imagine a bunch of pairwise distinct integer numbers a[0], a[1] , ..., a[n - 1] placed on a circle in the same order. There are n pairs of neighboring numbers: (a[o], a[1]) (a[1], a[2]). (a[n - 2], a[n - 1]), (a[n 1], a[0]) 1 2 3 4 } You tried to encode the circle of numbers by recording the pairs, but unfortunately the numbers in these pairs got shuffled, so now each pair (x, y) could be represented either as (x, y) or (y, x). You are given an array pairs of these shuffled pairs, and your task is to return the initial state of the numbers on the circle. Please, note that any cyclic rotation of the initial state is also considered to be a correct

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