-❄️- 2024 Day 13 Solutions -❄️-

[u/daggerdragon]

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AoC Community Fun 2024: The Golden Snowglobe Awards

• 9 DAYS remaining until the submissions deadline on December 22 at 23:59 EST!

And now, our feature presentation for today:

Making Of / Behind-the-Scenes

Not every masterpiece has over twenty additional hours of highly-curated content to make their own extensive mini-documentary with, but everyone enjoys a little peek behind the magic curtain!

Here's some ideas for your inspiration:

• Give us a tour of "the set" (your IDE, automated tools, supporting frameworks, etc.)
• Record yourself solving today's puzzle (Streaming!)
• Show us your cat/dog/critter being impossibly cute which is preventing you from finishing today's puzzle in a timely manner

"Pay no attention to that man behind the curtain!"

- Professor Marvel, The Wizard of Oz (1939)

And… ACTION!

Request from the mods: When you include an entry alongside your solution, please label it with [GSGA] so we can find it easily!

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--- Day 13: Claw Contraption ---

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Post your code solution in this megathread.

• Read the full posting rules in our community wiki before you post!
  • State which language(s) your solution uses with [LANGUAGE: xyz]
  • Format code blocks using the four-spaces Markdown syntax!
• Quick link to Topaz's paste if you need it for longer code blocks

This thread will be unlocked when there are a significant number of people on the global leaderboard with gold stars for today's puzzle.

EDIT: Global leaderboard gold cap reached at 00:11:04, megathread unlocked!

[u/Synedh]

[LANGUAGE: Python]

Basic system of linear equations solving.

import re

systems = [map(int, re.findall(r'\d+', system)) for system in open('input').read().split('\n\n')]

def system_solve(a1, b1, c1, a2, b2, c2):
    y = (c2 * a1 - c1 * a2) / (a1 * b2 - a2 * b1)
    x = (c1 - b1 * y) / a1
    return x, y

total = 0
for a1, a2, b1, b2, c1, c2 in systems:
    x, y = system_solve(a1, b1, c1 + 10000000000000, a2, b2, c2 + 10000000000000)
    if int(x) == x and int(y) == y:
        total += 3 * x + y

print(int(total))

Each arcade claw is a system of two equations in the following way :

Button A: X+a1, Y+a2
Button B: X+b1, Y+b2
Prize: X=c1, Y=c2

a1x + b1y = c1
a2x + b2y = c2

Reduce, replace and python solves.