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+Advent of Code
+
+--- Day 13: Claw Contraption ---
+
+   Next up: the [16]lobby of a resort on a tropical island. The Historians
+   take a moment to admire the hexagonal floor tiles before spreading out.
+
+   Fortunately, it looks like the resort has a new [17]arcade! Maybe you can
+   win some prizes from the [18]claw machines?
+
+   The claw machines here are a little unusual. Instead of a joystick or
+   directional buttons to control the claw, these machines have two buttons
+   labeled A and B. Worse, you can't just put in a token and play; it costs 3
+   tokens to push the A button and 1 token to push the B button.
+
+   With a little experimentation, you figure out that each machine's buttons
+   are configured to move the claw a specific amount to the right (along the
+   X axis) and a specific amount forward (along the Y axis) each time that
+   button is pressed.
+
+   Each machine contains one prize; to win the prize, the claw must be
+   positioned exactly above the prize on both the X and Y axes.
+
+   You wonder: what is the smallest number of tokens you would have to spend
+   to win as many prizes as possible? You assemble a list of every machine's
+   button behavior and prize location (your puzzle input). For example:
+
+ Button A: X+94, Y+34
+ Button B: X+22, Y+67
+ Prize: X=8400, Y=5400
+
+ Button A: X+26, Y+66
+ Button B: X+67, Y+21
+ Prize: X=12748, Y=12176
+
+ Button A: X+17, Y+86
+ Button B: X+84, Y+37
+ Prize: X=7870, Y=6450
+
+ Button A: X+69, Y+23
+ Button B: X+27, Y+71
+ Prize: X=18641, Y=10279
+
+   This list describes the button configuration and prize location of four
+   different claw machines.
+
+   For now, consider just the first claw machine in the list:
+
+     • Pushing the machine's A button would move the claw 94 units along the
+       X axis and 34 units along the Y axis.
+     • Pushing the B button would move the claw 22 units along the X axis and
+       67 units along the Y axis.
+     • The prize is located at X=8400, Y=5400; this means that from the
+       claw's initial position, it would need to move exactly 8400 units
+       along the X axis and exactly 5400 units along the Y axis to be
+       perfectly aligned with the prize in this machine.
+
+   The cheapest way to win the prize is by pushing the A button 80 times and
+   the B button 40 times. This would line up the claw along the X axis
+   (because 80*94 + 40*22 = 8400) and along the Y axis (because 80*34 + 40*67
+   = 5400). Doing this would cost 80*3 tokens for the A presses and 40*1 for
+   the B presses, a total of 280 tokens.
+
+   For the second and fourth claw machines, there is no combination of A and
+   B presses that will ever win a prize.
+
+   For the third claw machine, the cheapest way to win the prize is by
+   pushing the A button 38 times and the B button 86 times. Doing this would
+   cost a total of 200 tokens.
+
+   So, the most prizes you could possibly win is two; the minimum tokens you
+   would have to spend to win all (two) prizes is 480.
+
+   You estimate that each button would need to be pressed no more than 100
+   times to win a prize. How else would someone be expected to play?
+
+   Figure out how to win as many prizes as possible. What is the fewest
+   tokens you would have to spend to win all possible prizes?
+
+   Your puzzle answer was 30973.
+
+--- Part Two ---
+
+   As you go to win the first prize, you discover that the claw is nowhere
+   near where you expected it would be. Due to a unit conversion error in
+   your measurements, the position of every prize is actually 10000000000000
+   higher on both the X and Y axis!
+
+   Add 10000000000000 to the X and Y position of every prize. After making
+   this change, the example above would now look like this:
+
+ Button A: X+94, Y+34
+ Button B: X+22, Y+67
+ Prize: X=10000000008400, Y=10000000005400
+
+ Button A: X+26, Y+66
+ Button B: X+67, Y+21
+ Prize: X=10000000012748, Y=10000000012176
+
+ Button A: X+17, Y+86
+ Button B: X+84, Y+37
+ Prize: X=10000000007870, Y=10000000006450
+
+ Button A: X+69, Y+23
+ Button B: X+27, Y+71
+ Prize: X=10000000018641, Y=10000000010279
+
+   Now, it is only possible to win a prize on the second and fourth claw
+   machines. Unfortunately, it will take many more than 100 presses to do so.
+
+   Using the corrected prize coordinates, figure out how to win as many
+   prizes as possible. What is the fewest tokens you would have to spend to
+   win all possible prizes?
+
+   Your puzzle answer was 95688837203288.
+
+   Both parts of this puzzle are complete! They provide two gold stars: **
+
+   At this point, you should [19]return to your Advent calendar and try
+   another puzzle.
+
+   If you still want to see it, you can [20]get your puzzle input.
+
+References
+
+   Visible links
+   1. https://adventofcode.com/
+   2. https://adventofcode.com/2024/about
+   3. https://adventofcode.com/2024/events
+   4. https://cottonbureau.com/people/advent-of-code
+   5. https://adventofcode.com/2024/settings
+   6. https://adventofcode.com/2024/auth/logout
+   7. Advent of Code Supporter
+	https://adventofcode.com/2024/support
+   8. https://adventofcode.com/2024
+   9. https://adventofcode.com/2024
+  10. https://adventofcode.com/2024/support
+  11. https://adventofcode.com/2024/sponsors
+  12. https://adventofcode.com/2024/leaderboard
+  13. https://adventofcode.com/2024/stats
+  16. https://adventofcode.com/2020/day/24
+  17. https://en.wikipedia.org/wiki/Amusement_arcade
+  18. https://en.wikipedia.org/wiki/Claw_machine
+  19. https://adventofcode.com/2024
+  20. https://adventofcode.com/2024/day/13/input