Day 4: Scratchcards
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FAQ
- What is this?: Here is a post with a large amount of details: https://programming.dev/post/6637268
- Where do I participate?: https://adventofcode.com/
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Python
Questions and feedback welcome!
import collections
import re
from .solver import Solver
class Day04(Solver):
def __init__(self):
super().__init__(4)
self.cards = []
def presolve(self, input: str):
lines = input.rstrip().split('\n')
self.cards = []
for line in lines:
left, right = re.split(r' +\| +', re.split(': +', line)[1])
left, right = map(int, re.split(' +', left)), map(int, re.split(' +', right))
self.cards.append((list(left), list(right)))
def solve_first_star(self):
points = 0
for winning, having in self.cards:
matches = len(set(winning) & set(having))
if not matches:
continue
points += 1 << (matches - 1)
return points
def solve_second_star(self):
factors = collections.defaultdict(lambda: 1)
count = 0
for i, (winning, having) in enumerate(self.cards):
count += factors[i]
matches = len(set(winning) & set(having))
if not matches:
continue
for j in range(i + 1, i + 1 + matches):
factors[j] = factors[j] + factors[i]
return count
Crystal
late because I had to skip two days of aoc. Fairly easy
input = File.read("input.txt").lines
sum = 0
winnings = Array.new(input.size) {[1, 0]}
input.each_with_index do |line, i|
card, values = line.split(":")
nums = values.split("|").map(&.split.map(&.to_i))
points = 0
nums[1].each do |num|
if nums[0].includes?(num)
points = points == 0 ? 1 : points * 2
winnings[i][1] += 1
end end
sum += points
end
puts sum
winnings.each_with_index do |card, i|
next if card[1] == 0
(1..card[1]).each do |n|
winnings[i+n][0] += card[0]
end end
puts winnings.sum(&.[0])
My solution in C for part 1: https://git.sr.ht/~aidenisik/aoc23/tree/master/item/day4
I’ve been running a day behind the whole time since I forgot about it on day 1, I should really catch up.
EDIT: Part 2 is also uploaded.
[Language: Lean4]
I’ll only post the actual parsing and solution. I have written some helpers which are in other files, as is the main function. For the full code, please see my github repo.
I’m pretty sure that implementing part 2 in a naive way would cause Lean to demand a proof of termination, what might not be that easy to supply in this case… Luckily there’s a way more elegant and way faster solution than the naive one, that can use structural recursion and therefore doesn’t need an extra proof of termination.
Solution
structure Card where
id : Nat
winningNumbers : List Nat
haveNumbers : List Nat
deriving Repr
private def Card.matches (c : Card) : Nat :=
flip c.haveNumbers.foldl 0 λo n ↦
if c.winningNumbers.contains n then o + 1 else o
private def Card.score : Card → Nat :=
(· / 2) ∘ (2^·) ∘ Card.matches
abbrev Deck := List Card
private def Deck.score : Deck → Nat :=
List.foldl (· + ·.score) 0
def parse (input : String) : Option Deck := do
let mut cards : Deck := []
for line in input.splitOn "\n" do
if line.isEmpty then
continue
let cs := line.splitOn ":"
if p : cs.length = 2 then
let f := String.trim $ cs[0]'(by simp[p])
let g := String.trim $ cs[1]'(by simp[p])
if not $ f.startsWith "Card " then
failure
let f := f.drop 5 |> String.trim
let f ← f.toNat?
let g := g.splitOn "|"
if q : g.length = 2 then
let winners := String.trim $ g[0]'(by simp[q])
let draws := String.trim $ g[1]'(by simp[q])
let toNumbers := λ(s : String) ↦
s.split (·.isWhitespace)
|> List.filter (not ∘ String.isEmpty)
|> List.mapM String.toNat?
let winners ← toNumbers winners
let draws ← toNumbers draws
cards := {id := f, winningNumbers := winners, haveNumbers := draws : Card} :: cards
else
failure
else
failure
return cards -- cards is **reversed**, that's intentional. It doesn't affect part 1, but makes part 2 easier.
def part1 : Deck → Nat := Deck.score
def part2 (input : Deck) : Nat :=
-- Okay, doing this brute-force is dumb.
-- Instead let's compute how many cards each original card is worth, and sum that up.
-- This relies on parse outputting the cards in **reverse** order.
let multipliers := input.map Card.matches
let sumNextN : Nat → List Nat → Nat := λn l ↦ (l.take n).foldl (· + ·) 0
let rec helper : List Nat → List Nat → List Nat := λ input output ↦ match input with
| [] => output
| a :: as => helper as $ (1 + (sumNextN a output)) :: output
let worths := helper multipliers []
worths.foldl (· + ·) 0