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Advent of Code '24 - Day 13 Claw Contraption
- Today's Advent of Code challenge was a puzzle based heavily on mathematics, and was solved using Python programming language.
- The challenge was to calculate the minimum cost for a claw machine to reach a prize using button presses.
- In part 1, it was required to determine the possibility of reaching the target using buttons and the cost to win within 100 presses.
- Part 2 required the optimization of performance by handling large coordinate offsets. Cramer's Rule was applied for solving the problem.
- Cramer's Rule is useful as it allows to solve linear equations efficiently.
- For each claw machine, two equations are used to represent the possible configurations of button presses which can be solved using a 2x2 system of linear equations.
- Developers can use System of Equations, Pattern Recognition, Determinants, and matrices for solving the problem.
- In order to solve the equations using Cramer's rule, determinants for A,D_x, and D_y are calculated and the values for A and B are obtained.
- Both Part 1 and Part 2 follow the same logic, but in Part 2 the prize location is pushed into the abyss with the help of offsets.
- The article explained the problem statement and how Cramer's rule was used to solve the given problem in detail.
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