Can Matt Afford a PS5 on His Birthday? - Python Coding Challenge

This coding challenge involves determining if Matt can afford a PS5 on his birthday given his income, the PS5's price, and the time until his birthday.

Problem Statement:

Matt works as a programmer and wants to buy himself a PS5 for his birthday. He is paid 'D' dollars every 15th of the month, the PS5 costs 'X' dollars, his birthday is in 'T' days, and it is currently the 'U'th day of the month. (We assume every month has 30 days for this challenge).

Will Matt be able to buy a PS5 on his birthday?

Input:

A single line containing four integers separated by spaces:

• 'D': amount Matt gets paid every month
• 'X': cost of the PS5
• 'T': number of days until Matt's birthday
• 'U': current date

Output:

A single line with:

• 'true' if he can buy the PS5
• 'false' if he can't afford it
• 'ruined' if he has no money

Constraints:

• 0 < D <= 10000
• 0 < X <= 1000
• 0 < T <= 364
• 0 < U <= 30

Example:

Input: 2000 500 120 10

Output:

true

Solution:

To determine whether Matt can afford the PS5, we need to calculate his total income by his birthday and compare it to the PS5's price.

1. Scenario 1: Enough savings before birthday:

   • Calculate the total income Matt will have accumulated by his birthday. This involves multiplying his monthly income ('D') by the number of months until his birthday ('T / 30') and adding any additional income he receives in the current month ('D * (U / 30)').

2. Scenario 2: Insufficient savings:

   • If Matt's total accumulated income is less than the PS5's price ('X') and he has no money saved, he can't afford it.

Python Code:

D, X, T, U = map(int, input().split())

total_income = D * (T // 30) + D * (U / 30)

if total_income >= X:
    print("true")
elif total_income == 0:
    print("ruined")
else:
    print("false")

Explanation:

1. Input: The code takes four integers as input, representing Matt's monthly income ('D'), the PS5's price ('X'), the number of days until his birthday ('T'), and the current day of the month ('U').

2. Calculate Total Income: The code calculates Matt's total income by his birthday using the formula: D * (T // 30) + D * (U / 30). This calculates the income from full months before his birthday (D * (T // 30)) and any additional income earned in the current month (D * (U / 30)) based on the current date ('U').

3. Conditional Statements: The code uses conditional statements (if, elif, else) to determine the output based on Matt's total income and the PS5's price. If Matt can afford the PS5, the output is true. If Matt has no money, the output is ruined. Otherwise, if Matt can't afford the PS5, the output is false.

This solution demonstrates a simple application of basic arithmetic and conditional statements in Python to solve a real-world problem.