ENGR 102 Lab Topic 6 (individual)

Activities

There are four deliverables for this individual assignment. Please submit the files described below to Gradescope. Check out the Frequently Asked Questions below. Please include the individual header in your ~.py files.

1. Howdy Whoop
2. Computing Sums
3. Juggler Sequence
4. Co-balancing Numbers

Howdy Whoop

Write a program named howdy_whoop.py that takes as input from the user two positive integers. Output the numbers 1 to 100, each on its own line, unless the number is evenly divisible by one or both of the integers entered by the user. If the number is evenly divisible by the first integer, print Howdy. If it's evenly divisible by the second integer, print Whoop. If it's evenly divisible by both, print Howdy Whoop. Format your output as shown below.

Example output (using inputs 2 and 3):

Enter an integer: 2
Enter another integer: 3
1
Howdy
Whoop
...
Whoop
Howdy

Computing Sums

Write a program named computing_sums.py that takes as input from the user two integers and calculates the sum of all integers between them, inclusive. Do NOT use any containers like lists, tuples, sets, and dictionaries, or the sum() function. You MUST use a loop. Format your output as shown below.

Example output (using inputs 3 and 10):

Enter an integer: 3
Enter another integer: 10
The sum of all integers from 3 to 10 is 52

Example output (using inputs 29 and 102):

Enter an integer: 29
Enter another integer: 102
The sum of all integers from 29 to 102 is 4847

Juggler Sequence

The Juggler sequence produces a sequence of integers using the following procedure. Given a number n, if n is even then the next number is the floor of the square root of n. If n is odd, then the next number is the floor of n^(3/2). The Juggler sequence ends when n reaches 1.

As an example, if you start with the number 7, then the terms of the sequence will be: 7, 18, 4, 2, 1.

Write a program named juggler_sequence.py that takes in a positive integer from the user, and computes the Juggler sequence, printing out all the numbers in the sequence, followed by a line stating how many iterations it took to reach the value 1. Format your output as shown below.

Example output (using input 7):

Enter a positive integer: 7
The Juggler sequence starting at 7 is:
7, 18, 4, 2, 1
It took 4 iterations to reach 1

Co-balancing Numbers

A positive number n is a co-balancing number if the sum of numbers from 1 to n is equal to the sum of numbers n+1 to n+r where r is a positive integer. For example, 14 is a co-balancing number with r of 6. That means the numbers 1 through 14 sum to the same amount as the next six integers after 14 (15 through 20). In other words,

$$\underbrace{(1+2+3+...+13+14)}_{105}=\underbrace{(15+16+...+19+20)}_{105}$$

Write a program named cobalancing_numbers.py that takes in an integer value n from the user and determines if it is a co-balancing number. If n is a co-balancing number, output the corresponding value of r. Do NOT use any containers like lists, tuples, sets, and dictionaries, or the sum() function. You MUST use a loop. Format your output as shown below.

Example output (using input 14):

Enter a value for n: 14
14 is a co-balancing number with r=6

Example output (using input 102):

Enter a value for n: 102
102 is not a co-balancing number

Frequently Asked Questions

1. Activity 3 (Juggler sequence) how do I tell if a number is odd or even? If a number divided by 2 has no remainder, then it's even. Can you think of a way to check using %?

2. Activity 3 how do I print the last number without a comma? An easy way to prevent an extra comma is to print your final value after your loop. For example, the code below prints the first 4 values inside the loop, and the last value after the loop is done:

num = 5
for i in range(num - 1):
    print(i + 1, end=", ")
print(num)

You can do something similar with a while loop:

num = 5
while num > 1:
    print(num, end=", ")
    num -= 1
print(num)

3. Activity 3 I tried using backspace (\b) and Gradescope labels it \x08 instead. What's going on? Gradescope displays the \b character as \x08. To get around using \b, you can use string concatenation or string formatting instead. For example:

print("My sequence starting at", str(num) + " is:") # convert num to a string and concatenate
print(f"My sequence starting at {num} is:") # use an f-string to insert num in the {} placeholder

Both have the same output with no space between num and :.

Have a question you don't see here? Email your instructor!

Based upon Dr. Keyser’s Original
Revised Summer 2025 SNR