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1 |
| -module Program = let [<EntryPoint>] main _ = 0 |
| 1 | +open Xunit |
| 2 | +open FsUnit.Xunit |
| 3 | + |
| 4 | +// 0 adv: A <- A / 2^■ |
| 5 | +// 1 bxl: B <- B xor ■ |
| 6 | +// 2 bst: B <- ■ % 8 |
| 7 | +// 3 jnz: A ≠ 0 ⇒ ip <- ■ |
| 8 | +// 4 bxc: B <- B xor C |
| 9 | +// 5 out: ■ % 8 |
| 10 | +// 6 bdv: B <- A / 2^■ |
| 11 | +// 7 cdv: C <- A / 2^■ |
| 12 | + |
| 13 | +type Register = { A: int64; B: int64; C: int64 } |
| 14 | + |
| 15 | +type Env = |
| 16 | + { Ip: int |
| 17 | + Register: Register |
| 18 | + Program: int[] |
| 19 | + Out: int64 list } |
| 20 | + |
| 21 | +let rec pow' x n = |
| 22 | + if n = 0L then 1L |
| 23 | + else if n % 2L = 0L then pow' (x * x) (n / 2L) |
| 24 | + else x * pow' x (n - 1L) |
| 25 | + |
| 26 | +let execute register program halt = |
| 27 | + let rec f env = |
| 28 | + match halt env with |
| 29 | + | Some out -> out |
| 30 | + | None -> |
| 31 | + let { Ip = ip |
| 32 | + Register = reg |
| 33 | + Program = program |
| 34 | + Out = out } = |
| 35 | + env |
| 36 | + |
| 37 | + let combo operand = |
| 38 | + match operand with |
| 39 | + | 0 |
| 40 | + | 1 |
| 41 | + | 2 |
| 42 | + | 3 as x -> int64 x |
| 43 | + | 4 -> reg.A |
| 44 | + | 5 -> reg.B |
| 45 | + | 6 -> reg.C |
| 46 | + | x -> failwith $"{x} !?" |
| 47 | + |
| 48 | + let opcode = program[ip] |
| 49 | + let operand = program[ip + 1] |
| 50 | + |
| 51 | + let newEnv = |
| 52 | + match opcode with |
| 53 | + | 0 -> |
| 54 | + { env with |
| 55 | + Ip = ip + 2 |
| 56 | + Register = |
| 57 | + { reg with |
| 58 | + A = reg.A / (pow' 2 (combo operand)) } } |
| 59 | + | 1 -> |
| 60 | + { env with |
| 61 | + Ip = ip + 2 |
| 62 | + Register = { reg with B = reg.B ^^^ operand } } |
| 63 | + | 2 -> |
| 64 | + { env with |
| 65 | + Ip = ip + 2 |
| 66 | + Register = { reg with B = (combo operand) % 8L } } |
| 67 | + | 3 -> |
| 68 | + if reg.A = 0 then |
| 69 | + { env with Ip = ip + 2 } |
| 70 | + else |
| 71 | + { env with Ip = operand } |
| 72 | + | 4 -> |
| 73 | + { env with |
| 74 | + Ip = ip + 2 |
| 75 | + Register = { reg with B = reg.B ^^^ reg.C } } |
| 76 | + | 5 -> |
| 77 | + { env with |
| 78 | + Ip = ip + 2 |
| 79 | + Out = (combo operand) % 8L :: out } |
| 80 | + | 6 -> |
| 81 | + { env with |
| 82 | + Ip = ip + 2 |
| 83 | + Register = |
| 84 | + { reg with |
| 85 | + B = reg.A / (pow' 2 (combo operand)) } } |
| 86 | + | 7 -> |
| 87 | + { env with |
| 88 | + Ip = ip + 2 |
| 89 | + Register = |
| 90 | + { reg with |
| 91 | + C = reg.A / (pow' 2 (combo operand)) } } |
| 92 | + | x -> failwith $"{x} !?" |
| 93 | + |
| 94 | + f newEnv |
| 95 | + |
| 96 | + f |
| 97 | + { Ip = 0 |
| 98 | + Register = register |
| 99 | + Program = program |
| 100 | + Out = [] } |
| 101 | + |
| 102 | +let outputOnHalt env = |
| 103 | + if env.Ip >= env.Program.Length then |
| 104 | + env.Out |> Array.ofList |> Array.map int |> Array.rev |> Some |
| 105 | + else |
| 106 | + None |
| 107 | + |
| 108 | +let part1 (register: Register) (program: int[]) = |
| 109 | + let out = execute register program outputOnHalt |
| 110 | + out |> Array.map string |> String.concat "," |
| 111 | + |
| 112 | +let part2 (register: Register) (program: int[]) = |
| 113 | + // reversing |
| 114 | + // |
| 115 | + // do |
| 116 | + // B <- A % 8 |
| 117 | + // B <- B xor 5 |
| 118 | + // C <- A / (2 ** B) |
| 119 | + // B <- B xor 6 |
| 120 | + // A <- A / (2 ** 3) |
| 121 | + // B <- B xor C |
| 122 | + // output(B % 8) |
| 123 | + // while (A <> 0) |
| 124 | + // |
| 125 | + |
| 126 | + let rec find i a = |
| 127 | + if i = 0 then |
| 128 | + Some a |
| 129 | + else |
| 130 | + [ 0..7 ] |
| 131 | + |> List.tryPick (fun j -> |
| 132 | + let a = a * 8L + int64 j |
| 133 | + let out = execute { register with A = a } program outputOnHalt |
| 134 | + |
| 135 | + if out = program[(i - 1) ..] then find (i - 1) a else None) |
| 136 | + |
| 137 | + find program.Length 0 |> Option.get |
| 138 | + |
| 139 | +let parse (input: string) = |
| 140 | + let input = input.Split("\n\n") |
| 141 | + let register = input[0].Split("\n") |
| 142 | + |
| 143 | + let register = |
| 144 | + { A = register[0].Replace("Register A: ", "") |> int64 |
| 145 | + B = register[1].Replace("Register B: ", "") |> int64 |
| 146 | + C = register[2].Replace("Register C: ", "") |> int64 } |
| 147 | + |
| 148 | + let program = input[1].Replace("Program: ", "").Split(",") |> Array.map int |
| 149 | + |
| 150 | + register, program |
| 151 | + |
| 152 | +module Example = |
| 153 | + let input = |
| 154 | + "Register A: 729 |
| 155 | +Register B: 0 |
| 156 | +Register C: 0 |
| 157 | +
|
| 158 | +Program: 0,1,5,4,3,0" |
| 159 | + |
| 160 | + [<Fact>] |
| 161 | + let testPart1 () = |
| 162 | + parse input ||> part1 |> should equal "4,6,3,5,6,3,5,2,1,0" |
| 163 | + |
| 164 | +[<EntryPoint>] |
| 165 | +let main _ = |
| 166 | + let input = stdin.ReadToEnd().TrimEnd() |
| 167 | + let register, program = parse input |
| 168 | + |
| 169 | + (register, program) ||> part1 |> printfn "Part 1: %s" |
| 170 | + (register, program) ||> part2 |> printfn "Part 2: %d" |
| 171 | + |
| 172 | + 0 |
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