Module day13

Claw Contraption

Each claw machine is a system of two linear equations:

    (Button A X) * (A presses) + (Button B X) * (B presses) = Prize X
    (Button A Y) * (A presses) + (Button B Y) * (B presses) = Prize Y

Shortening the names and representing as a matrix:

    [ ax bx ][ a ] = [ px ]
    [ ay by ][ b ] = [ py ]

To solve we invert the 2 x 2 matrix then premultiply the right column.

Functions

• parse
• part1
• part2
• play 🔒
  Invert the 2 x 2 matrix representing the system of linear equations.

Type Aliases

• Claw 🔒