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| 1 | +defmodule AdventOfCode.Y2025.Day10 do |
| 2 | + @moduledoc """ |
| 3 | + --- Day 10: Factory --- |
| 4 | + Problem Link: https://adventofcode.com/2025/day/10 |
| 5 | + Difficulty: l |
| 6 | + Tags: graph shortest-path bitwise dynamic-programming |
| 7 | + """ |
| 8 | + import Bitwise |
| 9 | + alias AdventOfCode.Helpers.{InputReader, Transformers} |
| 10 | + alias Yog.Pathfinding.AStar |
| 11 | + |
| 12 | + def input, do: InputReader.read_from_file(2025, 10) |
| 13 | + |
| 14 | + def run(input \\ input()) do |
| 15 | + input = parse(input) |
| 16 | + |
| 17 | + {run_1(input), run_2(input)} |
| 18 | + end |
| 19 | + |
| 20 | + def run_1(input) do |
| 21 | + input |
| 22 | + |> Enum.map(&solve_machine_1/1) |
| 23 | + |> Enum.sum() |
| 24 | + end |
| 25 | + |
| 26 | + def run_2(input) do |
| 27 | + input |
| 28 | + |> Enum.map(fn m -> |
| 29 | + Process.put(:memo_p2, %{}) |
| 30 | + res = solve_machine_2(m) |
| 31 | + Process.delete(:memo_p2) |
| 32 | + res |
| 33 | + end) |
| 34 | + |> Enum.sum() |
| 35 | + end |
| 36 | + |
| 37 | + defp solve_machine_1(m) do |
| 38 | + states = get_button_states(m.buttons_lists) |
| 39 | + target_mask = m.indicator |
| 40 | + |
| 41 | + states |
| 42 | + |> Map.get(target_mask, []) |
| 43 | + |> Enum.map(fn {_, presses} -> presses end) |
| 44 | + |> case do |
| 45 | + [] -> |
| 46 | + search_machine_1_yog(m) |
| 47 | + |
| 48 | + list -> |
| 49 | + Enum.min(list) |
| 50 | + end |
| 51 | + end |
| 52 | + |
| 53 | + defp search_machine_1_yog(%{indicator: target_mask, buttons_mask: buttons_mask}) do |
| 54 | + successors = fn mask -> |
| 55 | + Enum.map(buttons_mask, fn btn -> {bxor(mask, btn), 1} end) |
| 56 | + end |
| 57 | + |
| 58 | + heuristic = fn mask -> |
| 59 | + diff = bxor(mask, target_mask) |
| 60 | + count_set_bits(diff) |
| 61 | + end |
| 62 | + |
| 63 | + is_goal = fn mask -> mask == target_mask end |
| 64 | + |
| 65 | + case AStar.implicit_a_star(0, successors, is_goal, heuristic) do |
| 66 | + {:ok, cost} -> cost |
| 67 | + :error -> 0 |
| 68 | + end |
| 69 | + end |
| 70 | + |
| 71 | + defp count_set_bits(v) do |
| 72 | + if v == 0 do |
| 73 | + 0 |
| 74 | + else |
| 75 | + 1 + count_set_bits(v &&& v - 1) |
| 76 | + end |
| 77 | + end |
| 78 | + |
| 79 | + defp solve_machine_2(%{joltage: target_v, buttons_lists: buttons_lists}) do |
| 80 | + states = get_button_states(buttons_lists) |
| 81 | + solve_recursive(target_v, states) |
| 82 | + end |
| 83 | + |
| 84 | + defp solve_recursive(v, states) do |
| 85 | + if Enum.all?(v, &(&1 == 0)) do |
| 86 | + 0 |
| 87 | + else |
| 88 | + memo = Process.get(:memo_p2) |
| 89 | + |
| 90 | + if Map.has_key?(memo, v) do |
| 91 | + Map.get(memo, v) |
| 92 | + else |
| 93 | + res = compute_recursive(v, states) |
| 94 | + Process.put(:memo_p2, Map.put(memo, v, res)) |
| 95 | + res |
| 96 | + end |
| 97 | + end |
| 98 | + end |
| 99 | + |
| 100 | + defp compute_recursive(v, states) do |
| 101 | + target_parity = |
| 102 | + v |
| 103 | + |> Enum.with_index() |
| 104 | + |> Enum.reduce(0, fn {val, idx}, acc -> |
| 105 | + if rem(val, 2) == 1, do: acc + (1 <<< idx), else: acc |
| 106 | + end) |
| 107 | + |
| 108 | + subsets = Map.get(states, target_parity, []) |
| 109 | + |
| 110 | + subsets |
| 111 | + |> Enum.flat_map(fn {inc_v, presses} -> |
| 112 | + next_v = |
| 113 | + Enum.zip_with(v, inc_v, fn v_val, inc_val -> |
| 114 | + v_val - inc_val |
| 115 | + end) |
| 116 | + |
| 117 | + if Enum.all?(next_v, &(&1 >= 0)) do |
| 118 | + next_v_div = Enum.map(next_v, &div(&1, 2)) |
| 119 | + [presses + 2 * solve_recursive(next_v_div, states)] |
| 120 | + else |
| 121 | + [] |
| 122 | + end |
| 123 | + end) |
| 124 | + |> case do |
| 125 | + # Infinity |
| 126 | + [] -> 1_000_000_000 |
| 127 | + list -> Enum.min(list) |
| 128 | + end |
| 129 | + end |
| 130 | + |
| 131 | + defp get_button_states(buttons_lists) do |
| 132 | + m = length(buttons_lists) |
| 133 | + |
| 134 | + num_counters = |
| 135 | + if buttons_lists == [] do |
| 136 | + 0 |
| 137 | + else |
| 138 | + buttons_lists |> List.flatten() |> Enum.max() |> Kernel.+(1) |
| 139 | + end |
| 140 | + |
| 141 | + 0..((1 <<< m) - 1) |
| 142 | + |> Enum.reduce(%{}, fn i, acc -> |
| 143 | + {parity, inc_v, presses} = |
| 144 | + Enum.reduce(0..(m - 1), {0, List.duplicate(0, num_counters), 0}, fn j, {p, iv, pr} -> |
| 145 | + if (i &&& 1 <<< j) != 0 do |
| 146 | + btn = Enum.at(buttons_lists, j) |
| 147 | + # Update parity mask |
| 148 | + p2 = Enum.reduce(btn, p, fn bit, p_acc -> bxor(p_acc, 1 <<< bit) end) |
| 149 | + # Update increment vector |
| 150 | + iv2 = |
| 151 | + Enum.reduce(btn, iv, fn bit, iv_acc -> List.update_at(iv_acc, bit, &(&1 + 1)) end) |
| 152 | + |
| 153 | + {p2, iv2, pr + 1} |
| 154 | + else |
| 155 | + {p, iv, pr} |
| 156 | + end |
| 157 | + end) |
| 158 | + |
| 159 | + Map.update(acc, parity, [{inc_v, presses}], &[{inc_v, presses} | &1]) |
| 160 | + end) |
| 161 | + end |
| 162 | + |
| 163 | + def parse(data \\ input()) do |
| 164 | + data |
| 165 | + |> Transformers.lines() |
| 166 | + |> Enum.map(&parse_line/1) |
| 167 | + end |
| 168 | + |
| 169 | + defp parse_line(line) do |
| 170 | + [[_, indicator_str]] = Regex.scan(~r/\[([.#]+)\]/, line) |
| 171 | + buttons_matches = Regex.scan(~r/\(([\d,]+)\)/, line) |
| 172 | + [[_, joltage_str]] = Regex.scan(~r/\{([\d,]+)\}/, line) |
| 173 | + |
| 174 | + indicator_list = |
| 175 | + indicator_str |
| 176 | + |> String.graphemes() |
| 177 | + |> Enum.map(fn |
| 178 | + "." -> 0 |
| 179 | + "#" -> 1 |
| 180 | + end) |
| 181 | + |
| 182 | + indicator_mask = |
| 183 | + indicator_list |
| 184 | + |> Enum.with_index() |
| 185 | + |> Enum.reduce(0, fn {val, idx}, acc -> |
| 186 | + if val == 1, do: acc + (1 <<< idx), else: acc |
| 187 | + end) |
| 188 | + |
| 189 | + buttons_lists = |
| 190 | + buttons_matches |
| 191 | + |> Enum.map(fn [_, m] -> |
| 192 | + m |> String.split(",") |> Enum.map(&String.to_integer/1) |
| 193 | + end) |
| 194 | + |
| 195 | + buttons_mask = |
| 196 | + buttons_lists |
| 197 | + |> Enum.map(fn indices -> |
| 198 | + Enum.reduce(indices, 0, fn idx, acc -> acc + (1 <<< idx) end) |
| 199 | + end) |
| 200 | + |
| 201 | + joltage = |
| 202 | + joltage_str |
| 203 | + |> String.split(",") |
| 204 | + |> Enum.map(&String.to_integer/1) |
| 205 | + |
| 206 | + %{ |
| 207 | + num_lights: length(indicator_list), |
| 208 | + indicator: indicator_mask, |
| 209 | + buttons_lists: buttons_lists, |
| 210 | + buttons_mask: buttons_mask, |
| 211 | + joltage: joltage |
| 212 | + } |
| 213 | + end |
| 214 | +end |
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