aoc2024/days/day13.st
2024-12-13 09:42:20 +00:00

57 lines
1.9 KiB
Smalltalk

Object subclass: Machine [
| vecA vecB prize |
parse: line
[ line scanf: 'Button A: X+%d, Y+%d Button B: X+%d, Y+%d Prize: X=%d, Y=%d'
with: [ :aX :aY :bX :bY :pX :pY |
vecA := Posn x: aX y: aY.
vecB := Posn x: bX y: bY.
prize := Posn x: pX y: pY ] ]
printOn: st
[ st << '{A: ' << vecA << '; B: ' << vecB << '; P: ' << prize << '}' ]
priceA [^3] priceB [^1]
solve: offV
[ ^(Mat2 col: vecA col: vecB) inverse
ifNotNil: [
:inv | | vec |
vec := inv *> (prize + offV).
(vec x isInteger and: [vec y isInteger])
ifTrue: [^vec]
ifFalse: [^nil] ]
ifNil: [
"linearly dependent -- not actually reached"
| slvA slvB |
'Linearly dependent!' displayNl.
slvA := self solveLinDep: vecA.
slvB := self solveLinDep: vecB.
slvA ifNil: [
slvB ifNil: [^nil]
ifNotNil: [^Posn x: 0 y: slvB]].
slvB ifNil: [^Posn x: slvA y: 0].
((slvA * self priceA) <= (slvB * self priceB))
ifTrue: [^Posn x: slvA y: 0]
ifFalse: [^Posn x: 0 y: slvB]] ]
tokenCost: soln
[ soln ifNil: [^0].
^(soln x * self priceA) + (soln y * self priceB) ]
solveCost: offV [ ^self tokenCost: (self solve: offV) ]
solveLinDep: vec
[ | sf |
sf := prize x / vec x.
(prize y / vec y) = sf ifFalse: [^nil].
sf isInteger ifFalse: [^nil].
^sf ]
]
AOC input: [ stdin chain contents; tokenize: (String with: $<10> with: $<10>);
collect: [:it | Machine new parse: it] ];
part1: 0; part2: 10000000000000;
result: [ :machines :off | | offV |
offV := Posn x: off y: off.
machines inject: 0 into: [:a :it | a + (it solveCost: offV)] ];
finish.