This commit is contained in:
2024-12-16 01:34:08 -08:00
parent ea1c1cd462
commit 9bb5d1f769
6 changed files with 632 additions and 0 deletions

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import Foundation
typealias CellCost = (cell: Cell, cost: Int)
enum Dir : String, CaseIterable, CustomStringConvertible {
case n = ""
case s = ""
case e = ""
case w = ""
var description: String { return self.rawValue }
func turnCost(to dir: Self) -> Int? {
if self == dir { return 0 }
if (self == .n && dir == .s) || (self == .s && dir == .n) ||
(self == .e && dir == .w) || (self == .w && dir == .e) { return nil }
return 1000
}
}
struct Cell : Hashable, CustomStringConvertible {
let (i, j): (Int, Int)
let dir: Dir
var description: String { return "(\(i),\(j))\(dir)" }
func neighbor(_ dir: Dir) -> CellCost? {
if let cost = self.dir.turnCost(to: dir) {
let c = cost + 1
switch dir {
case Dir.n: return (cell: Cell(i: i-1, j: j, dir: dir), cost: c)
case Dir.s: return (cell: Cell(i: i+1, j: j, dir: dir), cost: c)
case Dir.e: return (cell: Cell(i: i, j: j+1, dir: dir), cost: c)
case Dir.w: return (cell: Cell(i: i, j: j-1, dir: dir), cost: c)
}
} else {
return nil
}
}
}
struct QueueEntry : Hashable, CustomStringConvertible {
let cell: Cell
let origin: Cell
let costSoFar: Int
var description: String { return "\(cell) from \(origin) @\(costSoFar)" }
}
struct IJ : Hashable { //TODO: delete
let i: Int
let j: Int
}
struct CellPair : Hashable {
let a: Cell
let b: Cell
}
struct Maze : CustomStringConvertible {
let walls: [[Bool]]
let (w, h): (Int, Int)
var start: Cell { return Cell(i: h-2, j: 1, dir: Dir.e) }
var ends: Set<Cell> {
return Set(Dir.allCases.map { Cell(i: 1, j: w-2, dir: $0) })
}
var description: String {
return "" + String(repeating: "", count: w*2) + "\n" +
walls.map {
"" + $0.map { $0 ? "██" : " " }.joined() + ""
}.joined(separator: "\n") +
"\n" + String(repeating: "", count: w*2) + ""
}
init(fromFile f: String) throws {
let content = try String(contentsOfFile: f, encoding: .ascii)
let lines = content.split(separator: "\n")
(h, w) = (lines.count, lines[0].count)
walls = lines.map { line in line.map { cell in cell == "#" } }
}
func neighbors(of cell: Cell) -> [CellCost] {
return Dir.allCases
.compactMap { cell.neighbor($0) }
.filter { nb in !walls[nb.cell.i][nb.cell.j] }
}
func graph() -> [Cell:[CellCost]] {
var edges: [Cell:[(Cell, Int)]] = [start: []]
var q: [QueueEntry] = [
QueueEntry(cell: start, origin: start, costSoFar: 0)
]
var seen: Set<CellPair> = []
while !q.isEmpty {
let e = q.removeLast()
var origin = e.origin
var costSoFar = e.costSoFar
let nbs = neighbors(of: e.cell)
//xprint(q: q, cell: e.cell)
//print("q: \(q)")
//print("c: \(e.cell) -> \(nbs)")
if ends.contains(e.cell) || (nbs.count > 1 && e.cell != start) {
if seen.contains(CellPair(a: origin, b: e.cell)) {
continue
}
let upd = edges[origin, default: []] + [(e.cell, costSoFar)]
edges[origin] = upd
seen.insert(CellPair(a: origin, b: e.cell))
origin = e.cell
costSoFar = 0
//print("!!!! \(e.cell)")
//edges.forEach { k, v in print(" - \(k): \(v)") }
}
if !ends.contains(e.cell) {
nbs.map { cell, cost in
QueueEntry(
cell: cell, origin: origin, costSoFar: costSoFar + cost
)
}.forEach { q.append($0) }
}
}
ends.forEach { edges[$0] = [] }
return edges
}
func xprint(q: [QueueEntry], cell: Cell) {
let qx = Set(q.map { IJ(i: $0.cell.i, j: $0.cell.j) })
let s: [[String]] = walls.enumerated().map { i, r in
[String(format: "%02d ", i)] + r.enumerated().map { j, c in
if c { return "██" }
if cell.i == i && cell.j == j { return "🯇🯈" }
if qx.contains(IJ(i: i, j: j)) { return "▒▒" }
return " "
}
}
print(" 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4")
print(s.map { $0.joined() }.joined(separator: "\n"))
}
func search() -> Int {
let edges = graph()
edges.forEach { k, v in print(" - \(k): \(v)") }
var q: [CellCost] = [(cell: start, cost: 0)]
var visited: [Cell:Int] = [:]
while !q.isEmpty {
let e = q.removeLast()
print("visiting \(e)")
for (cell, cost) in edges[e.cell]! {
if let prevCost = visited[cell] {
if e.cost + cost >= prevCost {
continue
}
}
visited[cell] = e.cost + cost
q.append((cell: cell, cost: e.cost + cost))
}
}
print(visited)
return ends.compactMap { visited[$0] }.min()!
}
}
let maze = try Maze(fromFile: CommandLine.arguments[1])
print(maze)
print(maze.search())

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import Foundation
typealias CellCost = (cell: Cell, cost: Int)
enum Dir : String, CaseIterable, CustomStringConvertible {
case n = ""
case s = ""
case e = ""
case w = ""
var description: String { return self.rawValue }
func turnCost(to dir: Self) -> Int? {
if self == dir { return 0 }
if (self == .n && dir == .s) || (self == .s && dir == .n) ||
(self == .e && dir == .w) || (self == .w && dir == .e) { return nil }
return 1000
}
}
struct Cell : Hashable, CustomStringConvertible {
let (i, j): (Int, Int)
let dir: Dir
var description: String { return "(\(i),\(j))\(dir)" }
func neighbor(_ dir: Dir) -> CellCost? {
if let cost = self.dir.turnCost(to: dir) {
let c = cost + 1
switch dir {
case Dir.n: return (cell: Cell(i: i-1, j: j, dir: dir), cost: c)
case Dir.s: return (cell: Cell(i: i+1, j: j, dir: dir), cost: c)
case Dir.e: return (cell: Cell(i: i, j: j+1, dir: dir), cost: c)
case Dir.w: return (cell: Cell(i: i, j: j-1, dir: dir), cost: c)
}
} else {
return nil
}
}
}
struct QueueEntry : Hashable, CustomStringConvertible {
let cell: Cell
let origin: Cell
let costSoFar: Int
var description: String { return "\(cell) from \(origin) @\(costSoFar)" }
}
struct CellPair : Hashable {
let a: Cell
let b: Cell
}
struct Maze : CustomStringConvertible {
let walls: [[Bool]]
let (w, h): (Int, Int)
var start: Cell { return Cell(i: h-2, j: 1, dir: Dir.e) }
var ends: Set<Cell> {
return Set(Dir.allCases.map { Cell(i: 1, j: w-2, dir: $0) })
}
var description: String {
let s: [[String]] = walls.enumerated().map { i, r in
[String(format: "%3d ", i)] + r.map { $0 ? "██" : " " }
}
print(" 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4")
return s.map { $0.joined() }.joined(separator: "\n")
}
init(fromFile f: String) throws {
let content = try String(contentsOfFile: f, encoding: .ascii)
let lines = content.split(separator: "\n")
(h, w) = (lines.count, lines[0].count)
walls = lines.map { line in line.map { cell in cell == "#" } }
}
func neighbors(of cell: Cell) -> [CellCost] {
return Dir.allCases
.compactMap { cell.neighbor($0) }
.filter { nb in !walls[nb.cell.i][nb.cell.j] }
}
func graph() -> [Cell:[CellCost]] {
var edges: [Cell:[(Cell, Int)]] = [start: []]
var q: [QueueEntry] = [
QueueEntry(cell: start, origin: start, costSoFar: 0)
]
var seen: Set<CellPair> = []
while !q.isEmpty {
let e = q.removeLast()
var origin = e.origin
var costSoFar = e.costSoFar
let nbs = neighbors(of: e.cell)
if ends.contains(e.cell) || (nbs.count > 1 && e.cell != start) {
if seen.contains(CellPair(a: origin, b: e.cell)) {
continue
}
let upd = edges[origin, default: []] + [(e.cell, costSoFar)]
edges[origin] = upd
seen.insert(CellPair(a: origin, b: e.cell))
origin = e.cell
costSoFar = 0
}
if !ends.contains(e.cell) {
nbs.map { cell, cost in
QueueEntry(
cell: cell, origin: origin, costSoFar: costSoFar + cost
)
}.forEach { q.append($0) }
}
}
ends.forEach { edges[$0] = [] }
return edges
}
func search() -> Int {
let edges = graph()
// edges.forEach { k, v in print(" - \(k): \(v)") }
var q: [CellCost] = [(cell: start, cost: 0)]
var visited: [Cell:Int] = [:]
while !q.isEmpty {
let e = q.removeLast()
if let node = edges[e.cell] {
for (cell, cost) in node {
if let prevCost = visited[cell] {
if e.cost + cost >= prevCost {
continue
}
}
visited[cell] = e.cost + cost
q.append((cell: cell, cost: e.cost + cost))
}
}
}
return ends.compactMap { visited[$0] }.min()!
}
}
let maze = try Maze(fromFile: CommandLine.arguments[1])
// print(maze)
print(maze.search())

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import Foundation
typealias CellCost = (cell: Cell, cost: Int)
enum Dir : String, CaseIterable, CustomStringConvertible {
case n = ""
case s = ""
case e = ""
case w = ""
var description: String { return self.rawValue }
func turnCost(to dir: Self) -> Int? {
if self == dir { return 0 }
if (self == .n && dir == .s) || (self == .s && dir == .n) ||
(self == .e && dir == .w) || (self == .w && dir == .e) { return nil }
return 1000
}
}
struct Cell : Hashable, CustomStringConvertible {
let (i, j): (Int, Int)
let dir: Dir
var description: String { return "(\(i),\(j))\(dir)" }
func neighbor(_ dir: Dir) -> CellCost? {
if let cost = self.dir.turnCost(to: dir) {
let c = cost + 1
switch dir {
case Dir.n: return (cell: Cell(i: i-1, j: j, dir: dir), cost: c)
case Dir.s: return (cell: Cell(i: i+1, j: j, dir: dir), cost: c)
case Dir.e: return (cell: Cell(i: i, j: j+1, dir: dir), cost: c)
case Dir.w: return (cell: Cell(i: i, j: j-1, dir: dir), cost: c)
}
} else {
return nil
}
}
}
struct QueueEntry : Hashable, CustomStringConvertible {
let cell: Cell
let origin: Cell
let costSoFar: Int
let path: [Cell]
var description: String { return "\(cell) from \(origin) @\(costSoFar)" }
}
struct CellPair : Hashable, CustomStringConvertible {
let a: Cell
let b: Cell
var description: String { return "\(a),\(b)" }
}
struct Maze : CustomStringConvertible {
let walls: [[Bool]]
let (w, h): (Int, Int)
var start: Cell { return Cell(i: h-2, j: 1, dir: Dir.e) }
var ends: Set<Cell> {
return Set(Dir.allCases.map { Cell(i: 1, j: w-2, dir: $0) })
}
var description: String {
let s: [[String]] = walls.enumerated().map { i, r in
[String(format: "%3d ", i)] + r.map { $0 ? "██" : " " }
}
print(" 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4")
return s.map { $0.joined() }.joined(separator: "\n")
}
init(fromFile f: String) throws {
let content = try String(contentsOfFile: f, encoding: .ascii)
let lines = content.split(separator: "\n")
(h, w) = (lines.count, lines[0].count)
walls = lines.map { line in line.map { cell in cell == "#" } }
}
func neighbors(of cell: Cell) -> [CellCost] {
return Dir.allCases
.compactMap { cell.neighbor($0) }
.filter { nb in !walls[nb.cell.i][nb.cell.j] }
}
func graph() -> ([Cell:[CellCost]], [CellPair:[Cell]]) {
var edges: [Cell:[CellCost]] = [start: []]
var q: [QueueEntry] = [
QueueEntry(cell: start, origin: start, costSoFar: 0, path: [start])
]
var seen: [CellPair:[Cell]] = [:]
while !q.isEmpty {
let e = q.removeLast()
var origin = e.origin
var costSoFar = e.costSoFar
var path = e.path
let nbs = neighbors(of: e.cell)
if ends.contains(e.cell) || (nbs.count > 1 && e.cell != start) {
if let _ = seen[CellPair(a: origin, b: e.cell)] {
continue
}
let upd = edges[origin, default: []] + [(e.cell, costSoFar)]
edges[origin] = upd
seen[CellPair(a: origin, b: e.cell)] = path
origin = e.cell
costSoFar = 0
path = []
}
if !ends.contains(e.cell) {
nbs.map { cell, cost in
QueueEntry(
cell: cell, origin: origin, costSoFar: costSoFar + cost,
path: path + [cell]
)
}.forEach { q.append($0) }
}
}
ends.forEach { edges[$0] = [] }
return (edges, seen)
}
}
func search(graph edges: [Cell:[CellCost]], start: Cell) -> [Cell:(Int, [Cell])] {
var q: [CellCost] = [(cell: start, cost: 0)]
var visited: [Cell:(Int, [Cell])] = [:]
while !q.isEmpty {
let e = q.removeLast()
if let node = edges[e.cell] {
for (cell, cost) in node {
let newCost = e.cost + cost
if let (prevCost, prevCells) = visited[cell] {
if newCost > prevCost {
continue
}
if newCost == prevCost {
visited[cell] = (newCost, prevCells + [e.cell])
continue
}
}
visited[cell] = (newCost, [e.cell])
q.append((cell: cell, cost: newCost))
}
}
}
return visited
}
func trace(_ visited: [Cell:(Int, [Cell])], from: Cell, to: Cell) -> [[Cell]] {
if from == to {
return [[from]]
}
return visited[from, default: (-1, [])].1.flatMap {
trace(visited, from: $0, to: to).map { $0 + [from] }
}
}
let maze = try Maze(fromFile: CommandLine.arguments[1])
let (graph, pathPairs) = maze.graph()
let visited = search(graph: graph, start: maze.start)
let minCost = maze.ends.compactMap { visited[$0] }.map { $0.0 }.min()!
print("minCost: \(minCost)")
let seats = maze.ends
.filter { visited[$0, default: (0, [])].0 == minCost }
.flatMap { trace(visited, from: $0, to: maze.start) }
.map { zip($0, $0.dropFirst()) }
.map { $0.flatMap { pathPairs[CellPair(a: $0.0, b: $0.1)]! } }
.map { $0.map { cell in Cell(i: cell.i, j: cell.j, dir: Dir.n) } }
.flatMap { $0 }
print("seats: \(Set(seats).count)")

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