diff --git a/2024/16/solution.nix b/2024/16/solution.nix index 452760f..92f82f9 100644 --- a/2024/16/solution.nix +++ b/2024/16/solution.nix @@ -3,7 +3,7 @@ inherit (lib) splitString mod range; inherit (lib.lists) findFirstIndex imap0; inherit (lib.strings) stringToCharacters; - inherit (builtins) elemAt concatStringsSep length elem filter foldl' concatLists floor deepSeq listToAttrs attrValues attrNames mapAttrs hasAttr; + inherit (builtins) elemAt concatStringsSep length elem filter foldl' concatLists floor deepSeq listToAttrs attrValues attrNames mapAttrs hasAttr sort; index = i: list: elemAt list i; index2d = {x, y}: m: m |> index y |> index x; @@ -52,18 +52,18 @@ in if index2d fwd init.chart == "#" - then null + then {pos = null; dist = null;} else - if (isNode fwd || fwd == init.goal || fwd == init.pos) + if (isCorner fwd || fwd == init.goal || fwd == init.pos) then { - name = (key fwd); - value = score + 1; + pos = (key fwd); + dist = score + 1; } else search {pos = fwd; inherit dir; score = score + 1;} ; - isNode = pos: index2d pos init.chart == "." && + isCorner = pos: index2d pos init.chart == "." && (dirs |> mapAttrs (name: dir: let n = addVec pos dir; in index2d n init.chart == ".") |> ({north, east, south, west}: @@ -72,126 +72,192 @@ key = {x, y}: "${toString (y + 1)},${toString (x + 1)}"; - nodes = range 1 (init.width - 3) |> map (x: + corners = range 1 (init.width - 3) |> map (x: range 1 (init.height - 3) |> map (y: {inherit x y;}) ) |> concatLists - |> filter isNode + |> filter isCorner |> (nodes: nodes ++ [init.pos init.goal]) |> map (pos: { name = key pos; - value = { + value = ({ north = search {inherit pos; dir = dirs.north;}; east = search {inherit pos; dir = dirs.east;}; south = search {inherit pos; dir = dirs.south;}; west = search {inherit pos; dir = dirs.west;}; - } |> lib.filterAttrs (n: v: !isNull v); + } |> lib.filterAttrs (n: v: !isNull v.pos)) // { + # pos = key pos; + }; }) |> listToAttrs; - graph = pkgs.runCommand "graph" {} '' + notNull = value: !isNull value; + +###### collecting continuous corners, doesn't work. + countDirs = {north ? null, south ? null, east ? null, west ? null, ...}: + [north south east west] + |> filter (dir: notNull dir && notNull dir.pos) + |> length + ; + + continue = prev: {dirs, dist ? 0}: let + dir = if prev == "north" then "south" else + if prev == "south" then "north" else + if prev == "west" then "east" else + if prev == "east" then "west" else + throw "${toString prev} is not a direction!"; + prevEdge = dirs.${dir}; + in + dirs |> lib.attrsToList |> lib.findFirst ( + {name, value}: !(name == dir) && !(isDead value) + ) null + |> (res: res.value // {dir = res.name;}) + |> (next: let + nextCorner = corners.${next.pos}; + in + if isDead nextCorner || isDeadend nextCorner then null else + if isNode nextCorner + then next // {dist = next.dist + dist + prevEdge.dist + 1000;} + else continue next.dir { + dirs = nextCorner; + dist = dist + prevEdge.dist + 1000; + } + ) + ; + + isDead = corner: corner.pos or null == null; + + isNode = corner: let c = countDirs corner; in isTerminal corner || c > 2 || c == 1; + isTerminal = corner: corner.pos == key init.goal || corner.pos == key init.pos; + isDeadend = corner: let c = countDirs corner; in c == 1; + + nodes = corners |> mapAttrs (start: corner: + joinNodes corner + ); + + joinNodes = corner: + corner |> mapAttrs (dir: next: + if isDead next || isDeadend next + then null + else if !isNode corners.${next.pos} + then continue dir {dirs = corners.${next.pos};} + else + next // {inherit dir;}) + |> lib.filterAttrs (n: v: notNull v) + ; +######## + + nodeGraph = graph: pkgs.runCommand "graph" {} '' mkdir -p $out echo 'digraph { - ${nodes |> mapAttrs (from: tos: - tos |> mapAttrs (dir: edge: if isNull edge then "" else '' - "${from}" -> "${edge.name}" [label="${dir} ${toString edge.value}"] + ${graph |> mapAttrs (from: edges: + edges |> mapAttrs (dir: edge: if isNull edge.pos or null then "" else '' + "${from}" -> "${edge.pos}" [label="${dir} ${toString edge.dist}"] '') |> attrValues |> concatStringsSep "\n" ) |> attrValues |> concatStringsSep "\n"} }' > $out/graph.dot cat $out/graph.dot | ${pkgs.graphviz}/bin/dot -Tsvg > $out/graph.svg ''; - getPath = { - pos ? key init.pos - , goal - , dir ? "east" - , score ? 0 - , hist ? [] - , acc ? {} - }: let - node = nodes.${pos}; - in attrNames node |> foldl' (best: edgedir: - lib.traceSeq acc - (let - newHist = hist ++ [edge.name value]; - edge = node.${edgedir}; - turnCost = if edgedir == dir then 0 else 1000; - value = edge.value + turnCost; - newScore = score + value; - in - if isNull edge || elem edge.name hist || (hasAttr "score" best && newScore > best.score) then best else - if edge.name == goal && (hasAttr "score" best -> newScore < best.score) then - ({score = newScore;}) - else - getPath { - pos = edge.name; - dir = edgedir; - score = newScore; - hist = newHist; - acc = best; - inherit goal; - } - )) acc; - - initScores = { - scores = mapAttrs (n: v: - if n == key init.pos then {dir = "east"; score = 0; pos = n;} - else {dir = null; score = null; pos = n;} - ) nodes; - done = []; + graphs = { + corners = nodeGraph corners; + nodes = nodeGraph nodes; }; - getScores = state: let + initScores = { + ${key init.pos} = { + dir = "east"; + steps = 0; + turns = 0; + pos = key init.pos; + }; + }; + + getLowest = state: let unvisited = removeAttrs state.scores state.done; - top = attrValues unvisited |> foldl' (acc: node: - if isNull acc.score then node else - if isNull node.score then acc else - if acc.score < node.score then acc else node - ) {score = null;}; in - nodes.${top.pos} - |> mapAttrs (dir: {name, value}: let - turnCost = if top.dir == dir then 0 else 1000; - existing = state.scores.${name}; - score = top.score + value + turnCost; - isBetter = isNull existing.score || existing.score > score; - in { - inherit name; - value = if elem name state.done || !isBetter then existing else { - inherit dir score; - pos = name; + attrValues unvisited |> foldl' (acc: node: + if isNull acc.turns then node else + if isNull node.turns then acc else + if acc.turns < node.turns then acc else node + ) {turns = null; steps = null;} + ; + + getScores = {done ? [], scores ? initScores}: let + prev = getLowest {inherit done scores;}; + in + corners.${prev.pos} + |> mapAttrs (dir: edge: let + turns = if prev.dir == dir then prev.turns else prev.turns + 1; + + existing = scores.${edge.pos} or null; + steps = prev.steps + edge.dist; + sameSteps = notNull existing + && existing.steps == steps + # && turns == existing.turns + ; + isBetter = isNull existing || + (existing.steps > steps); + newScore = { + inherit steps dir turns; + inherit (edge) pos; + prev = prev.pos; }; + in { + name = edge.pos; + value = if sameSteps then + existing // {alt = newScore;} + else if isBetter + then newScore + else existing + ; }) |> attrValues |> listToAttrs |> (newScores: { - scores = state.scores // newScores; - done = state.done ++ [top.pos]; + scores = scores // newScores; + done = done ++ [prev.pos]; }) ; - getPriority = {scores, done}: scores - |> lib.attrsToList - |> filter ({name, ...}: !elem name done) - |> filter ({value, ...}: !isNull value.score) - |> sortQueue - ; - - lessThan = a: b: isNull a || isNull b || a < b; - - sortQueue = q: q - |> builtins.sort (a: b: lessThan a.value.score b.value.score) - # |> (q: lib.traceSeq (map (v: v.value.score) q) q) - |> map ({name, value}: { - pos = name; - inherit (value) dir score; - }) - ; - - fastest = s: let + fastest = goal: s: let next = getScores s; - in if elem (key init.goal) next.done then next else fastest next; + in if elem (key goal) (next.done) then next else fastest goal next; + + pathScore = steps: turns: steps + turns * 1000; + + toGoal = (fastest init.goal {}).scores.${key init.goal}; + + part1result = pathScore toGoal.steps toGoal.turns; + +# PART 2 + + # WIP: + # go through the path, add each pos to visited + # if point has alt, find points on that path not visited yet. + # add length of filtered alt, (-1 for the overlap at end?). + # add alt to visited. + pathToList = scores: pos: + let + res = scores.${pos}; + prevPath = if res ? prev then pathToList scores res.prev else []; + fullaltPath = pathToList scores res.alt.prev; + joinIndex = findFirstIndex ({pos,...}: !elem pos (map ({pos, ...}: pos) prevPath)) null fullaltPath; + altPath = lib.sublist (joinIndex - 1) (length fullaltPath) fullaltPath; + + thisSpot = {inherit (res) pos steps turns dir; }; + + in + prevPath + ++ + [(thisSpot // { + alt = if res ? alt then altPath ++ [thisSpot] else null; + })] + ; + + cornerScores = fastest init.goal {}; + + part1path = (pathToList cornerScores.scores (key init.goal)); - part1result = (fastest initScores).scores.${key init.goal}; } diff --git a/2024/graph.jpg b/2024/graph.jpg deleted file mode 100644 index 86e215e..0000000 Binary files a/2024/graph.jpg and /dev/null differ diff --git a/2024/result b/2024/result deleted file mode 120000 index d03bff3..0000000 --- a/2024/result +++ /dev/null @@ -1 +0,0 @@ -/nix/store/3dxw74x2scq38j9m84r6m3iq320npwn4-graph \ No newline at end of file