Goal:

This project is designed reinforce the techniques around the following: * Usingwhileloops * Usingprintstatements * Usingifstatements

Description:

The program will print nicely formatted tables of numbers. Those numbers will represent integers raised to integer powers between 2 and a chosen upper limit. For instance, the table for the integers up to 4 raised to the powers 1..3 could look like this:

---------- | 1| 1| 1| | 2| 4| 8| | 3| 9|27| | 4|16|64| ==========

Functional Requirements:

This program will be made up of exactly four user-defined functions:

repeated(char, N)

The functionrepeatedtakes two parameters: a string,char, and an integer,N.

repeatedmust meet the following requirements: * It returnsNrepetitions ofchar. * It mustnotuse the string repetition operator (*). * It must not use aforloop to implementrepeated.

These assertions, while not required, may help you:

assert repeated('%', 0) == ''
assert repeated('*', 2) == '**'
assert repeated('$', 4) == '$$$$'

padded(x, width)

The functionpaddedtakes two arguments: an integer,x, and another integer,width.

paddedmust meet the following requirements: * It returns a string of exactlywidthcharacters. * It must userepeatedfor any string repetition needs. * Ifxis too wide to fit in a string ofwidthcharacters, then it should return a string of just asterisks.

These assertions, while not required, may help you:

assert padded(3, 1) == '3'
assert padded(4, 2) == ' 4'
assert padded(12, 4) == '  12'
assert padded(123, 2) == '**'

power(base, exponent)

The functionpowertakes two arguments: an integer,base, and another integer,exponent.

powermust meet the following requirements: * It must return the integer value ofbaseraised to the power ofexponent. * It must compute this value using a loop. Using the**operator is not allowed. * It maynotassume thatexponentis non-negative. If it is negative,powershould return -1.

These assertions, while not required, may help you:

assert power(3, 0) == 1
assert power(4, 2) == 16
assert power(3, 4) == 81
assert power(3, -3) == -1

print_row(n, max_power, column_width)

The functionprint_rowtakes three integer arguments and prints a string. It does not return anything.

The arguments:

1. 
   nis the number that is going to be raised to powers in this row of output.


2. 
   max_powerrepresent the highest power to whichnwill be raised.


3. 
   column_widthis the number of characters to be used to hold computed values.

print_rowmust meet the following requirements: * It must printmax_powercolumns of output. * It prints a single row. * All columns arewidthwide. * All columns are separated with a|character. * The first and last characters are also the|character. * The first column isnraised to the first power, the second column isnraised to the second power, etc. * You must use thepowerfunction to compute the appropriate values. You must not use the**operator.

Here are some samples:

print_row(4,2,3)will print

|  4| 16|

print_row(5,3,4)will print

|   5|  25| 125|

print_table(max_value, max_power, column_width)

print_tablehas 3 integer arguments: 1.max_valuerepresents the highest value for which the table is going to print a row. 2.max_powerrepresents the maximum power to which any value is raised. 3.column_widthrepresents the width of each column of output (exclusive of the|borders).

print_tablemust meet the following requirements: * It must useprint_rowto print the numeric rows of the table. * It must print an upper and lower border that is the same width as the table. * The upper border is made of-characters. * The lower border is made of=characters. * It should userepeatedas appropriate. It shouldnotuse the string repetition operator (*). * Where it requires looping, it should use awhileloop. It shouldnotuse aforloop.

Here are some samples:

print_table(4, 3, 2)would print

---------- | 1| 1| 1| | 2| 4| 8| | 3| 9|27| | 4|16|64| ==========

print_table(6, 4, 2)would print

------------- | 1| 1| 1| 1| | 2| 4| 8|16| | 3| 9|27|81| | 4|16|64|**| | 5|25|**|**| | 6|36|**|**| =============

main()

Use thismainfunction, and include the final call tomain()

def main():

print_table(4, 3, 2)

print_table(6, 4, 2)

main()

Advice:

Write the functions in the order they were presented above.

Forbidden:

Your program may not use any techniques or Python features forbidden above. Do not use any string-related functionality other than the following: * Concatenation (+) *len(s)to determine the length ofs*str(x)to convert an integer to a string.