Program Description

Write a program to print a limited Pascal's Triangle, First, the user is instructed to enter the number of rows to be displayed, and is prompted to enter an integer in the range $[1.\mathrm{.}13].$ The user enters a number, $\backslash ($ x $\backslash ),$ and the program verifies that $\backslash (1\backslash$leq x $\backslash$leq $13\backslash ).$ If $\backslash ($ x $\backslash )$ is out of range, the user is reprompted until they enter a value in the specified range. The program then calculates and displays the first $\backslash ($ x $\backslash )$ rows of Pascal's Triangle.

Program Requirements

$1.$ The programmer's name and program title must appear in the output.

$2.$ The inain procedure must consist of only procedure calls $($with any necessary framing$)$ it should be a readable "list" of what the program will do$.$

$3.$ Each procedure will implement a section of the program logic, Le$,$ each procedure will specify frow the logic of its section is implemented.

The program must be modularized into at least the following procedures and sub$-$procedures:

$```$

introduction $-$ Introduce Program and Programmer

getUserInput $-$ Prompt for and receive user$-$mput number of triangle lines to print. Validate user input is in specified bounds and re$-$

prompts as necessary.

$```$

printPascaltriangle $-$ Receives number of rows of Pascal's Triangle to print. Prints this number of rows of Pascal's Triangle. Uses:

printPoscaiRou to print each line.

$-$Receives two values, n and k$.$ Outputs the result of $"$n Choose k$"$ computation. See Binomial Coefficient Wikipedia Article

for more details.

$-$ printPascalRow $-$ Receives index of row to be printed. Prints allelements of Pascal's Triangle for this row. Uses nchoosek procedure to obtain each element to be printed.

a Thanks user for using the program.

$-$ The upper and lower bounds of user input must be defined as constants.

$-$ The directive is not allowed on this project.

$-$ If the user enters a number outside the range $[1..\mathrm{.}13]$ an error message must be displayed and the user must be prompted to re$-$enter the number of lines of the Triangle to be shown.