Objectives

• Understand loops
• Understand C++ loops: while loops, for loops, do-while loops

You can find hw4 note: loop on Moodl e.

Questions

Question 1: Sum even positive numbers

Write a program that asks for the end value (as integer), and computes the sum of the even numbers from 0 to the value entered, inclusive.

Expected output 1 (bold is user input)

Enter a positive number:

10

Sum: 30

The file should be named as sumEven.cpp. Dont forget to head over to the code runner on Moodle and paste your solution in the answer box!

Question 2: Print Collatz sequence

The Collatz conjecture defines a sequence as follows: if n is an even number, then the next value is n/2. If n is odd, then the next value is 3n+1. The sequence is conjectured to always reach 1 regardless of the starting number.

Write a program that takes a starting number n and prints the entire sequence, starting with n and ending with 1. Each number should be printed on a new line.

Expected output example (bold is user input)

Enter a positive number:10 10 5168421

The file should be named as printCollatz.cpp. Dont forget to head over to the code runner on Moodle and paste your solution in the answer box!

Question 3): Zootopia

The Zootopia Police Department is recruiting new officers and has come up with an innovative equation to hire. They define hireScore as a weighted sum of agility , strength , and speed.

hireScore = 1.8 * agility + 2.16 * strength + 3.24 * speed

The candidates for this hiring season are foxes, bunnies, and sloths. Chief Bogo has requested you to write a program that takes in these attributes and processes a hireScore for the candidate.

The program should provide a menu to choose the anthropomorphic animal. The menu should have the following options:

1. Fox
2. Bunny
3. Sloth
4. Quit

Once an animal is selected, the program should ask the two of the characteristics based on the animal

1. For fox, take input for agility and strength
2. For bunny, take input for agility and speed
3. For Sloth, take input for strength and speed

Note: You must prompt the user for agility, strength, and speed in that order, while also skipping the attribute prompt that does not apply to the particular animal.

Write a program to compute the hireScore based on the inputs using the weighted sum formula. When you compute the hireScore , one of the three characteristics would be 0. The computed hireScore should be displayed on the screen. The menu will run in a loop, continually offering Bogo four options until he chooses to quit. If the choice is not between 1 4, then it prints Invalid option . When Bogo select option 4, it prints Good bye!

Expected output (bold is user input)

Select a numerical option:=== menu ===1. Fox2. Bunny3. Sloth4. Quit1 Enter agility:10.5 Enter strength: 20.1 Hire Score: 62.316Select a numerical option:=== menu ===1. Fox2. Bunny3. Sloth4. Quit2 Enter agility:10.1 Enter speed:30.0 Hire Score: 115.38Select a numerical option:=== menu ===1. Fox2. Bunny3. Sloth4. Quit10 Invalid optionSelect a numerical option:=== menu ===1. Fox2. Bunny3. Sloth4. Quit4 Good bye!

The file should be named as zootopia.cpp. Dont forget to head over to the code runner on Moodle and paste your solution in the answer box!

Question 4(10pt): Dream house

You have graduated from CU Boulder and have a great job! You moved to Seattle and decided to save money to buy a house. Write a program to determine how many months it will take you to save enough money to make the down payments given the following assumptions:

• The portion of the cost needed for a down payment is 25% (0.25)
• Since you just graduated, the current saving is 0
• Assume you invest your current savings wisely. At the end of each month, you receive additional funding, currentSaving * r / 12 where r = 0.04. (r is an annual rate, so we divided it by 12)
• At the end of each month, your savings will increase by the return of the investment and the portion of the salary.

Your program asks:

1. The starting annual salary (in double)
2. The portion of the salary you save each month for a down payment (in double) 3. The cost of your dream house (in double)

Expected output 1 (bold is user input)

Enter your annual salary:

120000

Enter the percent of your salary to save, as a decimal:

.10

Enter the cost of your dream home:

1000000

Number of months: 183

The file should be named as dreamHouse.cpp. Dont forget to head over to the code runner on Moodle and paste your solution in the answer box!

Question 5(15pt): Count matches

A substring refers to a string that is a continuous segment of a larger string. The list of all substrings of the string, apple, would be:

• apple,
• appl, pple,
• app, ppl, ple,
• ap, pp, pl, le,
• a, p, p, l, e

Write a program that asks for two strings: a string where the substring is searched and substring whose occurrences is to be found. Then, it displays the number of matches.

Expected output 1 (bold is user input)

Enter the search string:

mississippi

Enter the substring to be searched:

si

Number of occurrences: 2

Expected output 2 (bold is user input)

Enter the search string:

mississippi

Enter the substring to be searched:

ipp

Number of occurrences: 1

The file should be named as countMatches.cpp . Dont forget to head over to the code runner on Moodle and paste your solution in the answer box!

Question 6(15pt): Print an alphabetical triangle

Write a program that takes the height of the triangle, then it prints the triangle like below.

Expected output 1 (bold is user input)

Enter the height:4 abcd efg hi j

Expected output 2 (bold is user input)

Enter the height:10 abcdefghij klmnopqrs tuvwxyza bcdefgh ijklmn opqrs tuvw xyz ab c

The file should be named as printTriangle.cpp . Dont forget to head over to the code runner on Moodle and paste your solution in the answer box!

Extra credit Question (10pt): Print diamond

Write a program that takes the side length of the diamond, then it prints the diamond like below.

Expected output 1 (bold is user input)

Enter the length:

4

*

***

*****

*******

*****

***

*

Expected output 2 (bold is user input)

Enter the length:

2

*

***

*