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day 20, part 1

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Sven Weidauer 2020-12-20 13:12:31 +01:00
parent 7a3715f1f4
commit aa1b1f017b
2 changed files with 289 additions and 0 deletions
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93
AdventOfCode2020.xcodeproj/project.pbxproj
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196
day20/main.swift Normal file
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@ -0,0 +1,196 @@
import Foundation
let input = loadData(day: 20)
let scanner = Scanner(string: input)
struct Tile {
var id: Int
var imageData: [Bool]
var size: Int
subscript (_ x: Int, _ y: Int) -> Bool {
get { imageData[x + y * size] }
set { imageData[x + y * size] = newValue }
}
}
extension Scanner {
func tile() -> Tile? {
guard string("Tile"),
let id = scanInt(),
string(":"),
let (image, size) = imageData()
else { return nil }
return Tile(id: id, imageData: image, size: size)
}
func imageData() -> ([Bool], Int)? {
var result: [Bool] = []
let set = CharacterSet(charactersIn: "#.")
var width: Int? = nil
while let line = scanCharacters(from: set) {
assert(width == nil || line.count == width)
width = line.count
result.append(contentsOf: line.map { $0 == "#" })
}
guard let w = width else { return nil }
return (result, w)
}
func tileSet() -> [Int: Tile]? {
var result: [Int: Tile] = [:]
while !isAtEnd {
guard let tile = self.tile() else { return nil }
result[tile.id] = tile
}
return result
}
}
let tilesById = scanner.tileSet()!
struct TileReference: Hashable {
enum Rotation: CaseIterable {
case rotate0, rotate90, rotate180, rotate270
}
var id: Int
var flipped: Bool
var rotation: Rotation
subscript (x: Int, y: Int) -> Bool {
get {
let tile = tilesById[id]!
var coord = flipped ? (x: tile.size - 1 - x, y: y) : (x: x, y: y)
coord = rotation.get(x: coord.x, y: coord.y, size: tile.size)
return tile[coord.x, coord.y]
}
}
var end: Int { tilesById[id]!.size - 1 }
}
extension TileReference.Rotation {
func get(x: Int, y: Int, size: Int) -> (x: Int, y: Int) {
let e = size - 1
switch self {
case .rotate0: return (x, y)
case .rotate90: return (y, e - x)
case .rotate180: return (x, e - y)
case .rotate270: return (e - y, x)
}
}
}
struct Board {
struct Cell {
var possible: Array<TileReference>
}
var size: Int
var cells: [Cell]
init<T>(tiles: T) where T: Sequence, T.Element == Int {
let orientations = [true, false].flatMap { flipped in TileReference.Rotation.allCases.map { (flipped, $0) } }
let allOptions = tiles.flatMap { id in orientations.map { TileReference(id: id, flipped: $0.0, rotation: $0.1 ) } }
size = Int(sqrt(Double(tilesById.count)))
cells = Array(repeating: Cell(possible: allOptions), count: size*size)
assert(size * size == tilesById.count)
}
subscript(x: Int, y: Int) -> Cell {
get { cells[x + y * size] }
set { cells[x + y * size] = newValue }
}
func coordinate(_ cell: Int) -> (x: Int, y: Int) {
let (y, x) = cell.quotientAndRemainder(dividingBy: size)
return (x, y)
}
func solve(startingAt: Int = 0) -> Board? {
if startingAt >= cells.count { return self }
let coord = coordinate(startingAt)
let left = coord.x > 0 ? self[coord.x - 1, coord.y].chosen! : nil
let above = coord.y > 0 ? self[coord.x, coord.y - 1].chosen! : nil
func matchLeft(_ ref: TileReference) -> Bool {
guard let left = left else { return true }
return (0...ref.end).allSatisfy { left[left.end, $0] == ref[0, $0] }
}
func matchAbove(_ ref: TileReference) -> Bool {
guard let above = above else { return true }
return (0...ref.end).allSatisfy { above[$0, above.end] == ref[$0, 0] }
}
for option in cells[startingAt].possible.lazy.filter({ matchLeft($0) && matchAbove($0) }) {
var result = self
result.cells[startingAt].possible = [option]
let next = startingAt + 1
for cell in next..<cells.count {
result.cells[cell].possible = result.cells[cell].possible.filter {
return $0.id != option.id
}
if result.cells[cell].possible.isEmpty {
return nil
}
}
if let solution = result.solve(startingAt: next) {
return solution
}
}
return nil
}
}
extension Board.Cell {
var chosen: TileReference? {
guard let result = possible.first, possible.count == 1 else {
return nil
}
return result
}
}
guard let solution = Board(tiles: tilesById.keys).solve() else { fatalError() }
let e = solution.size - 1
let ts = tilesById.first!.value.size
for y in 0...e {
for l in 0..<ts {
for x in 0...e {
let tile = solution[x, y].chosen!
for c in 0..<ts {
print(tile[c,l] ? "#" : ".", terminator: "")
}
print(terminator: " ")
}
print()
}
print()
}
print()
print(
solution[0,0].chosen!.id *
solution[e,0].chosen!.id *
solution[0,e].chosen!.id *
solution[e,e].chosen!.id
)