correct the mistake of this coding

#include

#include

$/*$

Program sorts an array of integers using a selection sort.

The general algorithm repeatedly finds the smallest number

in the array and places it at the front of the list.

$*/$

using namespace std;

int find$\_$small$\_$index$($int start$\_$index, int numbers$[])$;

void swap$\_$values$($int index$1,$ int index$2,$ int numbers$[])$;

int main$()$

$\{$

$//$ array of numbers

int numbers$[10]=\{7,9,21,16,65,8,32,1,17,41\}$;

int start$\_$index; $//$ current starting spot for search

int small$\_$index; $//$ index of the smallest number in the array

int index; $//$ index used for print the array values

start$\_$index $=0$;

$//$ continue finding the smallest value and placing it

$//$ at the front of the list

while $($start$\_$index $<9)$

$\{$

small$\_$index $=$ find$\_$small$\_$index$($start$\_$index, numbers$)$;

swap$\_$values$($small$\_$index, start$\_$index, numbers$)$;

start$\_$index$++$;

$\}$

cout $<<"$

The sorted array is:

$"$;

for $($index $=0$; index $<10$; index$++)$

cout $<<$ numbers$[$index$]<<""$;

cout $<<"$

$"$;

return $0$;

$\}$

int find$\_$small$\_$index$($int start$\_$index, int numbers$[])$

$\{$

int small$\_$index, $//$ smallest index to be returned

index; $//$ current index being viewed

small$\_$index $=$ start$\_$index;

for $($index $=$ start$\_$index $+1$; index $<10$; index$++)$

if $($numbers$[$index$]<$ numbers$[$small$\_$index$])$

small$\_$index $=$ index;

return small$\_$index;

$\}$

void swap$\_$values$($int index$1,$ int index$2,$ int numbers$[])$

$\{$

int swapper;

swapper $=$ numbers$[$index$1]$;

numbers$[$index$1]=$ numbers$[$index$2]$;

numbers$[$index$2]=$ swapper;

$\}$

$//$ step $1$

$/*$The function find Missing superscript or subscript argument

small Missing superscript or subscript argument

index is designed to find the index of the smallest number in the array starting from a given index.$*/$

$/*$The array provided is The smallest number in this array is which is at index

Therefore, the function find Missing superscript or subscript argument

small Missing superscript or subscript argument

index should return$*/$

$//$What value would find$\_$small$\_$index return for the following array

$/*34172644128172206244$

$[0][1][2][3][4][5][6][7][8][9]*/$

$//$The Boolean expression in the if statement in the function find

$//2.$ Assume that the array in question $1$ is being used, will the value of the Boolean expression in the if statement in find$\_$small$\_$index be true or false when index is equal to $3$ in the for loop? Explain your answer.

$//$Explanation: The question is referring to a specific scenario in a program where an array is being used and a function called 'find$\_$small$\_$index' is being executed.This function likely includes a 'for' loop and an $\text{'}$if$\text{'}$ statement.The $\text{'}$if$\text{'}$ statement is evaluating a Boolean expression, which is a statement that can only be either true or false.

$//$In this case, the Boolean expression is checking a condition related to the index of the array. The index is a specific position in the array. When the index is equal to $3,$ the Boolean expression is evaluated

$//$The answer states that the Boolean expression will be false when the index is $3.$ This is because the value at the $3$rd index of the array is not the smallest value in the array. The smallest value in the array is $17,$ which is likely at a different index. Therefore, the condition in the $\text{'}$if$\text{'}$ statement is not met, resulting in the Boolean expression being false.

$//3$ What is the point of the assignment small$\_$index $=$ start$\_$index; at the beginning of find$\_$small$\_$index? How does this help the function to accomplish its goal?

$//$The line of code small$\_$index $=$ start$\_$index; is used to initialize the variable small$\_$index with the value of start$\_$index. This is done at the beginning of the find$\_$small$\_$index function.

$//$The purpose of this assignment is to set a starting point for the search of the smallest index. It assumes that the first number $($at the start$\_$index position$)$ is the smallest value.

$//$This is a common technique used in sorting algorithms, specifically in selection sort, where the goal is to sort an array. The function iterates through the array, each time finding the smallest value and its index. This smallest value is then swapped with the value at the current position.

$//$By initializing small$\_$index to start$\_$index, the function is able to keep track of the smallest value found so far and its position in the array

$//4.$ In the control for the for loop in find$\_$small$\_$index, index does not start at zero as it does in many of the loops that we have written. It starts at different places, different times that it is called. Why is this?

$//$The line of code small$\_$index $=$ start$\_$index; is used to initialize the variable small$\_$index with the value of start$\_$index. This is done at the beginning of the find$\_$small$\_$index function.

$//$The purpose of this function is typically to find the index of the sma