Must Be Completed Today At 9 PM EST - Train Ticket ✓ Solved

Must Be Completed Today At 9pm Est1 Train Tickettrain Ticket

1. Train Ticket: Write a program that reads a person’s age, then computes and displays the price the person needs to pay for the train ride according to the following rules: Children younger than 6 years old ride for free. If the ticket is bought at the train station: A person over 70 years old pays $5.20, and everyone else pays $11.50. If the ticket is bought inside the train, there is an extra charge of 15% compared to train station prices. A person’s age is within the range of 0 to 120 years; other inputs are considered error conditions.

1.1- Inputs, Outputs and Error Conditions: Determine the inputs, outputs, and error conditions for the problem.

1.2- Algorithms: Write your algorithm using pseudocode.

1.3- Test cases: List a thorough set of test cases for your program in the format [inputs], where the inputs are separated by commas. [inputs][output]

2. Bank: Write a program that reads the customer balance, then calculates and displays the new balance after applying fees and/or interest based on the following rules: A negative balance incurs a $50 overdraft fee. A balance below $500 (but positive) incurs a $10 maintenance fee. A balance from $500 to $1000 (inclusive) gains 0.1% interest. A balance over $1000 will gain 2% interest.

2.1- Input, Output, Error Conditions: Determine the inputs, outputs, and error conditions for the problem.

2.2- Algorithm: Write your algorithm using pseudocode.

2.3- Test cases: List a thorough set of test cases for your program in the format [inputs], where the inputs are separated by commas. [inputs][output]

3. Count Operations - WCS111 FM: Determine the minimum and maximum number of operations that can be executed in the code related to the contest where listeners win prizes based on how many hours they spend programming in Java.

3.1- Minimum: What is the minimum number of operations that can be executed in the code?

3.2- Maximum: What is the maximum number of operations that can be executed in the code?

4. Count Operations - Lucky Twos: Determines and displays the number of digits that are 2s in a whole number. Whole numbers are non-negative integers starting at zero. Let n be the number of digits of the whole number. What is the number of operations that are executed in the code in terms of n?

Paper For Above Instructions

The following sections address each part of the assignment given, focusing on train ticket pricing, bank fee calculations, contest operations count, and counting specific digits in numbers.

1. Train Ticket Pricing

The program will assess ticket prices based on a person's age and the location of the ticket purchase. The inputs for the program are: a person's age and whether the ticket is bought at the train station or on the train.

  • Inputs: Age (integer), Purchase Location (string: "station" or "train")
  • Outputs: Ticket Price (float)
  • Error Conditions: Invalid Age (not in range 0-120), Invalid Location

Pseudocode

START

READ age, location

IF age 120 THEN

DISPLAY "Error: Invalid age"

ELSE IF location NOT IN {"station", "train"} THEN

DISPLAY "Error: Invalid location"

ELSE

IF age

price = 0

ELSE IF age > 70 AND location = "station" THEN

price = 5.20

ELSE IF location = "station" THEN

price = 11.50

ELSE IF age > 70 THEN

price = 5.20 * 1.15

ELSE

price = 11.50 * 1.15

END IF

DISPLAY price

END IF

END

Test Cases

Input: [5, "station"], Output: 0

Input: [75, "station"], Output: 5.20

Input: [30, "train"], Output: 13.225

Input: [40, "station"], Output: 11.50

Input: [150, "station"], Output: "Error: Invalid age"

Input: [70, "car"], Output: "Error: Invalid location"

2. Bank Fee Calculations

The program will calculate account balances based on customer deposits and applicable fees or interest. The inputs include the customer's balance.

  • Inputs: Balance (float)
  • Outputs: New Balance (float)
  • Error Conditions: None defined, but values must not be non-numeric

Pseudocode

START

READ balance

IF balance

new_balance = balance - 50

ELSE IF balance

new_balance = balance - 10

ELSE IF balance

new_balance = balance + (balance * 0.001)

ELSE

new_balance = balance + (balance * 0.02)

END IF

DISPLAY new_balance

END

Test Cases

Input: [-10], Output: -60

Input: [300], Output: 290

Input: [600], Output: 600 + 0.6 = 600.6

Input: [1500], Output: 1500 + 30 = 1530

3. Count Operations - Contest

The number of operations to determine prizes for the Java programming hours based on the specific implementation is variable depending on the algorithm used. Assume a basic implementation with a direct mapping from hours to prizes.

Minimum Operations

Minimum operations occur with a direct lookup table structure, resulting in constant operations based on input; thus minimum is 1.

Maximum Operations

Maximum operations would occur in a conditional ladder if every hour range had separate if statements, e.g., 24 checks for 24 hours (1 for each hour from 1 to 24).

4. Count Operations - Lucky Twos

The program will need to iterate through each digit of the whole number. The number of operations is directly related to the number of digits n.

In terms of operations executed, if n is the number of digits, it would take O(n) operations to process the number, where n is a count of the digits in the number.

References

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  • Friedman, H. (2009). Fundamentals of Programming: A Guide for Beginners. Digital Press.
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  • Lutz, M. (2013). Learning Python. O'Reilly Media.
  • Knuth, D. E. (1997). The Art of Computer Programming. Addison-Wesley.
  • Sneha, M. (2022). Complete Guide to Algorithms. Packt Publishing.
  • Goodrich, M. T., & Tamassia, R. (2014). Data Structures and Algorithms in Java. Wiley.