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Day17.fsx
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Day17.fsx
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printfn "Advent of Code 2020"
printfn "Day 17: Conway Cubes"
printfn ""
open System
open System.Collections.Generic
open System.Text.RegularExpressions
#load "Day17Input.fsx"; open Input
type Coord = {
x : int
y : int
z : int
w : int
}
with
static member getX (c : Coord) = c.x
static member getY (c : Coord) = c.y
static member getZ (c : Coord) = c.z
static member getW (c : Coord) = c.w
static member create2 (vec : int*int) =
let (x,y) = vec
{ Coord.x = x; y = y; z = 0; w = 0 }
static member create (vec : int*int*int) =
let (x,y,z) = vec
{ Coord.x = x; y = y; z = z; w = 0 }
static member create4 (vec : int*int*int*int) =
let (x,y,z,w) = vec
{ Coord.x = x; y = y; z = z; w = w }
type PocketDim = HashSet<Coord>
let getBounds (dim : PocketDim) =
let x = dim |> Seq.map Coord.getX |> Seq.min
let y = dim |> Seq.map Coord.getY |> Seq.min
let z = dim |> Seq.map Coord.getZ |> Seq.min
let w = dim |> Seq.map Coord.getW |> Seq.min
let x' = dim |> Seq.map Coord.getX |> Seq.max
let y' = dim |> Seq.map Coord.getY |> Seq.max
let z' = dim |> Seq.map Coord.getZ |> Seq.max
let w' = dim |> Seq.map Coord.getW |> Seq.max
( Coord.create4 (x,y,z,w), Coord.create4 (x',y',z',w') )
let printDim (dim : PocketDim) =
let (min, max) = dim |> getBounds
for w in min.w..max.w do
printfn ""
printf "w=%d, " w
for z in (min.z)..(max.z) do
printfn "z=%d" z
for y in (min.y)..(max.y) do
for x in (min.x)..(max.x) do
let c = Coord.create (x,y,z)
if dim.Contains(c) then
printf "#"
else
printf "."
printfn ""
let countActiveNeighbors (dim : PocketDim) (coord : Coord) =
let n =
dim
|> Seq.where (fun c ->
( (coord.x - 1) <= c.x && c.x <= (coord.x + 1) )
&& ( (coord.y - 1) <= c.y && c.y <= (coord.y + 1) )
&& ( (coord.z - 1) <= c.z && c.z <= (coord.z + 1) )
&& ( (coord.w - 1) <= c.w && c.w <= (coord.w + 1) )
) |> Seq.length
if dim.Contains(coord) then n - 1 else n // Remove self
let part1 (initialState : string) =
let cycleCount = 6
let pdim = PocketDim()
initialState.Split('\n')
|> Seq.iteri (fun y s ->
s |> Seq.iteri (fun x c ->
match c with
| '#' -> pdim.Add(Coord.create2 (x, y)) |> ignore
| '.' -> ()
| _ -> raise <| FormatException()
)
)
let cycle (dim : PocketDim) : PocketDim =
let (min, max) = dim |> getBounds
let dim' = PocketDim()
for z in (min.z - 1)..(max.z + 1) do
for y in (min.y - 1)..(max.y + 1) do
for x in (min.x - 1)..(max.x + 1) do
let c = Coord.create (x,y,z)
let neighbors = c |> countActiveNeighbors dim
if dim.Contains(c) then
match neighbors with
| 2 | 3 -> dim'.Add(c) |> ignore
| _ -> ()
else
match neighbors with
| 3 -> dim'.Add(c) |> ignore
| _ -> ()
dim'
let rec cycle' (n : int) (dim : PocketDim) : PocketDim =
let dim' = dim |> cycle
if n <= 1 then dim'
else cycle' (n-1) dim'
let pdim' = cycle' cycleCount pdim
let n = pdim'.Count
printfn "Number active cubes: %d" n
()
let part2 (initialState : string) =
let cycleCount = 6
let pdim = PocketDim()
initialState.Split('\n')
|> Seq.iteri (fun y s ->
s |> Seq.iteri (fun x c ->
match c with
| '#' -> pdim.Add(Coord.create2 (x, y)) |> ignore
| '.' -> ()
| _ -> raise <| FormatException()
)
)
let cycle (dim : PocketDim) : PocketDim =
let (min, max) = dim |> getBounds
let dim' = PocketDim()
for w in (min.w-1)..(max.w+1) do
for z in (min.z - 1)..(max.z + 1) do
for y in (min.y - 1)..(max.y + 1) do
for x in (min.x - 1)..(max.x + 1) do
let c = Coord.create4 (x,y,z,w)
let neighbors = c |> countActiveNeighbors dim
if dim.Contains(c) then
match neighbors with
| 2 | 3 -> dim'.Add(c) |> ignore
| _ -> ()
else
match neighbors with
| 3 -> dim'.Add(c) |> ignore
| _ -> ()
dim'
let rec cycle' (n : int) (dim : PocketDim) : PocketDim =
let dim' = dim |> cycle
if n <= 1 then dim'
else cycle' (n-1) dim'
let pdim' = cycle' cycleCount pdim
let n = pdim'.Count
printfn "Number active cubes: %d" n
()
printfn "Part 1: Test input"
part1 T
printfn "Part 1: Puzzle input"
part1 X
printfn "Part 2: Test input"
part2 T
printfn "Part 2: Puzzle input"
part2 X