Using C$++,$ Write a complete error free program.

$1.$ Write a program that will input letter grades $($A$,$ B$,$ C$,$ D$,$ F$),$ the number of which is input by the user $($a maximum of $50$ grades$).$ The grades will be read into an array. A function will be called five times $($once for each letter grade$)$ and will return the total number of grades in that category. The input to the function will include the array, number of elements in the array and the letter category $($A$,$ B$,$ C$,$ D or F$).$ The program will print the number of grades that are A$,$ B$,$ etc.

$2.$ Write a program that will input temperatures for consecutive days. The program will store these values into an array and call a function that will return the average of the temperatures. It will also call a function that will return the highest temperature and a function that will return the lowest temperature. The user will input the number of temperatures to be read. There will be no more than $50$ temperatures. Use typedef to declare the array type. The average should be displayed to two decimal places.

$3.$ Complete this program.

$//$ This program will read in a group of test scores $($positive integers from $1$ to $100)$

$//$ from the keyboard and then calculate and output the average score

$//$ as well as the highest and lowest score. There will be a maximum of $100$ scores.

$//$ PLACE YOUR NAME HERE

#include

using namespace std;

typedef int GradeType$[100]$; $//$ declares a new data type:

$//$ an integer array of $100$ elements

float findAverage$($const GradeType, int$)$; $//$ finds average of all grades

int findHighest$($const GradeType, int$)$; $//$ finds highest of all grades

int findLowest$($const GradeType, int$)$; $//$ finds lowest of all grades

int main$()$

$\{$

GradeType grades; $//$ the array holding the grades.

int numberOfGrades; $//$ the number of grades read.

int pos; $//$ index to the array.

float avgOfGrades; $//$ contains the average of the grades.

int highestGrade; $//$ contains the highest grade.

int lowestGrade; $//$ contains the lowest grade.

$//$ Read in the values into the array

pos $=0$;

cout $<<$ "Please input a grade from $1$ to $100,($or $-99$ to stop$)"<<$ endl;

cin $>>$ grades$[$pos$]$;

while $($grades$[$pos$]!=-99)$

$\{$

$//$ Fill in the code to read the grades

$\}$

numberOfGrades $=$ ; $//$ Fill blank with appropriate identifier

$//$ call to the function to find average

avgOfGrades $=$ findAverage$($grades$,$ numberOfGrades$)$;

cout $<<$ endl $<<$ "The average of all the grades is $"<<$ avgOfGrades $<<$ endl;

$//$ Fill in the call to the function that calculates highest grade

cout $<<$ endl $<<$ "The highest grade is $"<<$ highestGrade $<<$ endl;

$//$ Fill in the call to the function that calculates lowest grade

$//$ Fill in code to write the lowest to the screen

return $0$;

$\}$

$//********************************************************************************$

$//$ findAverage

$//$

$//$ task: This function receives an array of integers and its size.

$//$ It finds and returns the average of the numbers in the array

$//$ data in: array of floating point numbers

$//$ data returned: average of the numbers in the array

$//********************************************************************************$

float findAverage$($const GradeType array, int size$)$

$\{$

float sum $=0$; $//$ holds the sum of all the numbers

for $($int pos $=0$; pos $<$ size; pos$++)$

sum $=$ sum $+$ array$[$pos$]$;

return $($sum $/$ size$)$; $//$returns the average

$\}$

$//****************************************************************************$

$//$ findHighest

$//$

$//$ task: This function receives an array of integers and its size.

$//$ It finds and returns the highest value of the numbers in the array

$//$ data in: array of floating point numbers

$//$ data returned: highest value of the numbers in the array

$//****************************************************************************$

int findHighest$($const GradeType array, int size$)$

$\{$

$/$ Fill in the code for this function

$\}$

$//****************************************************************************$

$//$ findLowest

$//$

$//$ task: This function receives an array of integers and its size.

$//$ It finds and returns the lowest value of the numbers in the array

$//$ data in: array of floating point numbers

$//$ data returned: lowest value of the numbers in the array

$//$

$//****************************************************************************$

int findLowest$($const GradeType array, int size$)$

$\{$

$//$ Fill in the code for this function

$\}$