advent-of-code-2024/day13/part1.nix

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2024-12-13 01:03:44 -07:00
let
# Import nixpkgs lib and input file
inherit ((builtins.getFlake (builtins.toString ./..)).inputs.nixpkgs) lib;
input = builtins.readFile (builtins.toString ./input.txt);
# Define functions
matElem = row: col: mat: builtins.elemAt (builtins.elemAt mat row) col;
matDet = m: ((matElem 0 0 m) * (matElem 1 1 m)) - ((matElem 0 1 m) * (matElem 1 0 m));
# Parse input
split = builtins.map
(s:
let
split = lib.strings.splitString "\n" s;
in { a = builtins.elemAt split 0; b = builtins.elemAt split 1; prize = builtins.elemAt split 2; }
)
(lib.strings.splitString "\n\n" input);
extracted = builtins.map
({ a, b, prize }: {
a = lib.strings.splitString ", Y+" (builtins.substring 12 (-1) a);
b = lib.strings.splitString ", Y+" (builtins.substring 12 (-1) b);
prize = lib.strings.splitString ", Y=" (builtins.substring 9 (-1) prize);
}) split;
numbered = builtins.map
({ a, b, prize }: {
a = { x = lib.strings.toInt (builtins.elemAt a 0); y = lib.strings.toInt (builtins.elemAt a 1); };
b = { x = lib.strings.toInt (builtins.elemAt b 0); y = lib.strings.toInt (builtins.elemAt b 1); };
prize = { x = lib.strings.toInt (builtins.elemAt prize 0); y = lib.strings.toInt (builtins.elemAt prize 1); };
}) extracted;
# Solve system of equations
mathified = builtins.map
({ a, b, prize }: {
# First equation
a1 = a.x;
b1 = b.x;
c1 = prize.x;
# Second equation
a2 = a.y;
b2 = b.y;
c2 = prize.y;
}) numbered;
determinants = builtins.map
({ a1, b1, c1, a2, b2, c2 }: {
numerators = {
a = matDet [
[ c1 b1 ]
[ c2 b2 ]
];
b = matDet [
[ a1 c1 ]
[ a2 c2 ]
];
};
denominator = matDet [
[ a1 b1 ]
[ a2 b2 ]
];
}) mathified;
tokens = (
lib.lists.foldr
({ numerators, denominator }: accumulated-tokens:
accumulated-tokens + (
if (
(lib.trivial.mod numerators.a denominator) != 0
|| (lib.trivial.mod numerators.b denominator) != 0
)
then 0
else (numerators.a / denominator) * 3 + (numerators.b / denominator)
)
)
0
) determinants;
output = tokens;
in output