Purpose $$ Demonstrate the ability to write reusable functions and appropriately use value parameters, reference paramete rs$,$ and default arguments by

implementing the functions described below.

ToClosestPrime $$ This function takes an integer argument and returns an integer

representing the signed distance to the prime number that$$s

closest to that integer.

For example, ToClosestPrime$(10)$; should return $1$ since $11$ is

the closest prime to $10,$ and $10+1==11.$

The function call ToClosestPrime$(117)$; should return $-4$ since

$113$ is the closest prime to $117,$ and $1174==113.$

If the argument is equidistant between two primes, the

function should return a positive integer. For example,

ToClosestPrime$(9)$; should return $2$ since the closest primes to

$9$ are $7(92)$ and $11(9+2).$

PrintPrimesBetween $$ This function takes integers for the lower and upper bounds

of a range of values, and a bool for whether or not the

inputs of the range are included, as arguments. The bool

parameter should have a default argument of false.

The function should output a comma$-$separated list of all of

the prime numbers in the range to the standard output

device $($using cout$).$ The function should output no leading

or trailing whitespace on the list.

For example:

PrintPrimesBetween$(2,3)$; should output nothing

PrintPrimesBetween$(2,3,$ true$)$; should output $2,3$

PrintPrimesBetween$(4,17)$; should output $5,7,11,13$

LargestPrimeSequence $$ This function takes an integer argument and returns the

largest prime number seen as a sequence of digits in the

argument. If no sequence of digits in the number is a

prime, the function should return $-1.$

For example:

LargestPrimeSequence$(4)$ should return $-1$

LargestPrimeSequence$(17)$ should return $17$

LargestPrimeSequence$(248)$ should return $2$

LargestPrimeSequence$(801302)$ should return $13$

LargestPrimeSequence$(293794)$ should return $937$

LargestPrimeSequence$(31131)$ should return $311$

PrintAsDollarsAndCents $$ This function takes an integer argument for a monetary

amount in cents, and outputs the amount to the standard

output device $($using cout$)$ in the dollars and cents

format $$$d$.$cc$$

For example, the function call

PrintAsDollarsAndCents$(2708)$; should output $$27\mathrm{.}08$ to

the standard output device.

No whitespace should be output by this function.

MakePurchase $$ This function will take a purchase cost, in cents, as the first

argument. The function$$s next $8$ arguments are variables holding

the number of twenty dollar bills, ten dollar bills, five dollar

bills, one dollar bills, quarters, dimes, nickels, and pennies

available to make the purchase.

If arguments $2-9$ do not provide sufficient money to make the

purchase, those arguments should be unchanged by the function

call, and the function should return false.

If arguments $2-9$ do provide sufficient money to make the

purchase, those arguments should be modified to pay for the

purchase and receive the correct change, and the function should

return true. The purchase should be made using the fewest

bills$/$coins possible to pay for the items, and change should be

returned using the fewest bills$/$coin$.$

For example, if the purchase to be made costs $$17\mathrm{.}82$ and the

value of the variable sent for the second argument $($which holds

the number of twenty dollar bills$)$ is greater than or equal to $1,$

the value of twenty dollar bill argument should be reduced by $1.$

In this example, the change returned will be $$2\mathrm{.}18.$ So the one

dollar bill argument$$s value should be increased by $2,$ the dime

argument$$s value should be increased by $1,$ the nickel argument$$s

value should be increased by $1,$ and the penny argument$$s value

should be increased by $3.$ All other argument values in this

example will remain unchanged.

If multiple options to make the purchase would require the same

number of bills$/$coins$,$ the purchase should be made using the

smaller denomination of bills$/$coins$.$

For example, if the purchase to be made costs $$8\mathrm{.}07$ and the value

of the variables sent for the second argument and third arguments

are both greater than or equal to $1($there are $$20$ bills and $$10$

bills available$),$ the value of ten dollar bill argument should be

reduced by $1$ and the value of twenty dollar bill argument should

remain unchanged. In this example, the change returned will be

$$1\mathrm{.}93.$ So the one dollar bill argument$$s value should be

increased by $1,$ the quarter argument$$s value should be increased

by $3,$ the dime argument$$s value should be increased by $1,$ the

nickel argument$$s value should be increased by $1,$ and the penny

argument$$s value should be increased by $3.$ All other argument

values in this example will remain unchanged.

Additional examples are provided in the sample tests in

testMakePurchase.cc$,$ included in the zip file attached to the

assignment. Additional Specifications$-$ All function prototypes must be contained in a file named program$2$functions.h$-$ All function implementations must be written in a file named

program$2$functions.cc$.$ Initial Testing

Initial tests for the functions are attached to the assignmen