In this Lab assignment, you need to define the following THREE functions:

Define a function bool create$\_$PowerOfTwoMinusOne $($int num,

int& goal$)$ that decides if num is a "Power of Two Minus One number" as

you have solved in Lab$4.$ If it is$,$ return true; otherwise return false. At the same

time, your function needs to set up goal to the closest "Power of Two Minus

One number" which is less than or equal to num. For example, if num is $15,$ after

calling create$\_$PowerOfTwoMinusOne $($num$,$ goal$),$ it should return true

and goal will be set to $15$ ; if num is $33,$ after calling

create$\_$PowerOfTwoMinusOne $($num$,$ goal$),$ it should return false and

goal will be set to $31$ ; if num is $215,$ after calling

create$\_$PowerOfTwoMinusOne $($num$,$ goal$),$ it should return false and

goal will be set to $127.$

Define a function void drawTri $($int n $)$ that prints a triangle which

contains one little star $($asterisk symbol$)$ at the first line, three starts at the second

line, and so on till $2{*}_n-1$ little stars at the $n^{th}$ line, and it is symmetric. For

example, the triangle with $n=5$ is shown in the following:Define a function void drawTriR$90($int n $)$ that prints a triangle obtained

after rotating the original triangle from calling drawTri $(n),90$ degrees

clockwise. For example, the triangle with $n=5$ is shown in the following:

$\frac{\frac{?}{?}}{?}$ drawTriR$90()$ is equal to:

$//$after $90$ degree rotation clockwise from the original pattern by calling drawTri$()$

$****$

Write a program that repeatedly asks the user to enter a Positive integer as the input,

until the user enters $-1$ to quit the program. Each time after the user inputs a valid

positive integer, it then prints:

Decide whether the user$-$input Positive number, say input, is a "Power of Two

Minus One" by calling the function

create$\_$PowerOfTwoMinusOne $($input$,$ goal$)$;

It prints the triangle pattern in which the last row of stars matches the value of

goal from step $1),$ then prints the triangle pattern after rotating $90$ degrees

clockwise.