Day 20 solution

Part 1 was pretty much just day 18 again, but without doors and with an input data parsing skill check. I simplified day 18 and went with a basic Dijkstra algorithm after the DFS to crawl the maze which solved this just fine.

Part 2 messed me up more than I was expecting. The key feature for part 2 is changing up what the Dijkstra solver views as an "adjacent" node and injecting the appropriate depth as we traverse inner/outer portals. The main thing that tripped me up here from part 1 was that I needed to be carrying more data along with portals than just their locations, and I could no longer get away with storing the portals as pairs of their inner/outer locations, so a small refactor was needed. Once I made those corrections, it was mostly a matter of ironing out the "get neighbors" function to adhere to part 2's rules, which took me a lot of debugging to get just right.

Part 2 still took me longer than I'd care to admit. I had problems wrapping my head around the problem.
This commit is contained in:
2022-07-14 14:54:02 -05:00
parent f9f31820ac
commit effd94c09b
6 changed files with 605 additions and 0 deletions

398
days/20.go Normal file
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package days
import (
"container/heap"
"fmt"
"math"
"strings"
u "parnic.com/aoc2019/utilities"
)
type day20Cell int8
type day20Graph map[day20Portal][]u.Pair[day20Portal, int]
const (
day20CellWall day20Cell = iota
day20CellPath
day20CellDonutHole
)
var (
day20AdjacentOffsets = []u.Vec2i{
{X: -1, Y: 0},
{X: 1, Y: 0},
{X: 0, Y: -1},
{X: 0, Y: 1},
}
entrancePortal = day20Portal{name: "AA"}
exitPortal = day20Portal{name: "ZZ"}
)
type day20Portal struct {
name string
inner bool
depth int
}
type Day20 struct {
grid [][]day20Cell
entrance u.Vec2i
exit u.Vec2i
portals map[day20Portal]u.Vec2i
portalNames []string
}
func (d *Day20) Parse() {
d.portals = make(map[day20Portal]u.Vec2i)
d.portalNames = make([]string, 0)
lines := u.GetStringLines("20p")
d.grid = make([][]day20Cell, len(lines)-4)
currPortal := strings.Builder{}
for row, line := range lines {
y := row - 2
isGridRow := row >= 2 && row < len(lines)-2
if isGridRow {
d.grid[y] = make([]day20Cell, len(line)-4)
}
for col, ch := range lines[row] {
x := col - 2
isGridCol := col >= 2 && col < len(line)-2
if isGridRow && isGridCol {
if ch == '#' {
d.grid[y][x] = day20CellWall
} else if ch == '.' {
d.grid[y][x] = day20CellPath
} else {
d.grid[y][x] = day20CellDonutHole
}
}
if ch >= 'A' && ch <= 'Z' {
portalX := 0
portalY := 0
if len(line) > col+1 && line[col+1] >= 'A' && line[col+1] <= 'Z' {
currPortal.WriteRune(ch)
currPortal.WriteRune(rune(line[col+1]))
if len(line) > col+2 && line[col+2] == '.' {
portalY = y
portalX = x + 2
} else if col-1 >= 0 && line[col-1] == '.' {
portalY = y
portalX = x - 1
} else {
panic("!")
}
} else if len(lines) > row+1 && lines[row+1][col] >= 'A' && lines[row+1][col] <= 'Z' {
currPortal.WriteRune(ch)
currPortal.WriteRune(rune(lines[row+1][col]))
if len(lines) > row+2 && lines[row+2][col] == '.' {
portalY = y + 2
portalX = x
} else if row-1 >= 0 && lines[row-1][col] == '.' {
portalY = y - 1
portalX = x
} else {
panic("!")
}
}
if currPortal.Len() == 2 {
portalName := currPortal.String()
portalVec := u.Vec2i{X: portalX, Y: portalY}
if portalName == entrancePortal.name {
d.entrance = portalVec
} else if portalName == exitPortal.name {
d.exit = portalVec
} else {
portal := day20Portal{
name: portalName,
inner: !d.isOuterPortal(portalVec),
}
d.portals[portal] = portalVec
u.AddToArray(&d.portalNames, portalName)
}
currPortal.Reset()
}
}
}
}
}
func (d Day20) Num() int {
return 20
}
func (d Day20) isPortal(vec u.Vec2i) (bool, int) {
if d.grid[vec.Y][vec.X] != day20CellPath {
return false, 0
}
for i, name := range d.portalNames {
p, exists := d.portals[day20Portal{name: name, inner: !d.isOuterPortal(vec)}]
if exists && vec == p {
return true, i
}
}
return false, 0
}
func (d Day20) Draw() {
for y := range d.grid {
for x := range d.grid[y] {
switch d.grid[y][x] {
case day20CellWall:
fmt.Print("█")
case day20CellDonutHole:
fmt.Print(" ")
case day20CellPath:
posVec := u.Vec2i{X: x, Y: y}
if posVec == d.entrance {
fmt.Print("@")
} else if posVec == d.exit {
fmt.Print("!")
} else {
isPortal, portalIdx := d.isPortal(posVec)
if isPortal {
ch := 'a' + portalIdx
if ch > 'z' {
ch = 'A' + (portalIdx - 26)
}
fmt.Printf("%c", ch)
} else {
fmt.Print(" ")
}
}
}
}
fmt.Println()
}
}
func (d Day20) isOuterPortal(pos u.Vec2i) bool {
return pos.X == 0 || pos.Y == 0 || pos.X == len(d.grid[0])-1 || pos.Y == len(d.grid)-1
}
func (d Day20) findAdjacentCells(inPos u.Vec2i) []u.Pair[day20Portal, int] {
found := make([]u.Pair[day20Portal, int], 0)
getAdjacent := func(pos u.Vec2i) []u.Vec2i {
retAdjacent := make([]u.Vec2i, 0, len(day20AdjacentOffsets))
for _, off := range day20AdjacentOffsets {
offVec := u.Vec2i{X: pos.X + off.X, Y: pos.Y + off.Y}
if offVec.Y < 0 || offVec.Y >= len(d.grid) || offVec.X < 0 || offVec.X >= len(d.grid[0]) {
continue
}
if d.grid[offVec.Y][offVec.X] != day20CellPath {
continue
}
retAdjacent = append(retAdjacent, offVec)
}
return retAdjacent
}
queue := make([]u.Pair[int, u.Vec2i], 0)
visited := map[u.Vec2i]bool{
inPos: true,
}
for _, adjacent := range getAdjacent(inPos) {
queue = append(queue, u.Pair[int, u.Vec2i]{First: 1, Second: adjacent})
}
for len(queue) > 0 {
next := queue[0]
queue = queue[1:]
if _, exists := visited[next.Second]; !exists {
visited[next.Second] = true
adjacentIsPortal, portalIdx := d.isPortal(next.Second)
if adjacentIsPortal || next.Second == d.entrance || next.Second == d.exit {
var portalName string
if next.Second == d.entrance {
portalName = entrancePortal.name
} else if next.Second == d.exit {
portalName = exitPortal.name
} else {
portalName = d.portalNames[portalIdx]
}
alreadyFound := false
for _, p := range found {
if p.First.name == portalName {
alreadyFound = true
break
}
}
if !alreadyFound {
found = append(found, u.Pair[day20Portal, int]{First: day20Portal{
name: portalName,
inner: !d.isOuterPortal(next.Second),
}, Second: next.First})
continue
}
}
for _, neighbor := range getAdjacent(next.Second) {
if _, exists := visited[neighbor]; !exists {
queue = append(queue, u.Pair[int, u.Vec2i]{First: next.First + 1, Second: neighbor})
}
}
}
}
return found
}
type day20PriorityQueue struct {
distance int
neighbor day20Portal
}
type day20PriorityQueueHeap []day20PriorityQueue
func (h day20PriorityQueueHeap) Len() int { return len(h) }
func (h day20PriorityQueueHeap) Less(i, j int) bool { return h[i].distance < h[j].distance }
func (h day20PriorityQueueHeap) Swap(i, j int) { h[i], h[j] = h[j], h[i] }
func (h *day20PriorityQueueHeap) Push(x any) {
*h = append(*h, x.(day20PriorityQueue))
}
func (h *day20PriorityQueueHeap) Pop() any {
old := *h
n := len(old)
x := old[n-1]
*h = old[0 : n-1]
return x
}
func (d Day20) dijkstra(graph day20Graph, start, end day20Portal, neighborFunc func(inPortal day20Portal) []u.Pair[day20Portal, int]) int {
distance := make(map[day20Portal]int)
ih := day20PriorityQueueHeap{
day20PriorityQueue{
distance: 0,
neighbor: start,
},
}
heap.Init(&ih)
visited := make(map[day20Portal]bool)
for ih.Len() > 0 {
node := heap.Pop(&ih).(day20PriorityQueue)
if node.neighbor == end {
return node.distance
}
if _, exists := visited[node.neighbor]; exists {
continue
}
visited[node.neighbor] = true
for _, p := range neighborFunc(node.neighbor) {
if _, exists := visited[p.First]; exists {
continue
}
newDistance := node.distance + p.Second
if dist, exists := distance[p.First]; !exists || newDistance < dist {
distance[p.First] = newDistance
heap.Push(&ih, day20PriorityQueue{
distance: newDistance,
neighbor: p.First,
})
}
}
}
return math.MaxInt
}
func (d Day20) buildGraph() day20Graph {
graph := make(day20Graph, len(d.portals)+1)
adjacent := d.findAdjacentCells(d.entrance)
graph[entrancePortal] = adjacent
for portal, portalVec := range d.portals {
adjacent = d.findAdjacentCells(portalVec)
graph[portal] = adjacent
}
return graph
}
func (d Day20) getDepthNeighbors(graph day20Graph, portal day20Portal) []u.Pair[day20Portal, int] {
basePortal := portal
basePortal.depth = 0
baseNeighbors := graph[basePortal]
neighbors := make([]u.Pair[day20Portal, int], 0)
if portal.inner {
n := day20Portal{name: portal.name, inner: false, depth: portal.depth + 1}
neighbors = append(neighbors, u.Pair[day20Portal, int]{First: n, Second: 1})
}
if portal.depth == 0 {
for _, i := range baseNeighbors {
if i.First.inner || i.First.name == entrancePortal.name || i.First.name == exitPortal.name {
neighbors = append(neighbors, u.Pair[day20Portal, int]{First: i.First, Second: i.Second})
}
}
} else {
if !portal.inner {
n := day20Portal{name: portal.name, inner: true, depth: portal.depth - 1}
neighbors = append(neighbors, u.Pair[day20Portal, int]{First: n, Second: 1})
}
for _, i := range baseNeighbors {
if i.First.name != entrancePortal.name && i.First.name != exitPortal.name {
n := day20Portal{name: i.First.name, inner: i.First.inner, depth: portal.depth}
neighbors = append(neighbors, u.Pair[day20Portal, int]{First: n, Second: i.Second})
}
}
}
return neighbors
}
func (d *Day20) Part1() string {
// d.Draw()
graph := d.buildGraph()
for portal, adjacent := range graph {
if portal.name == entrancePortal.name {
continue
}
graph[portal] = append(adjacent, u.Pair[day20Portal, int]{First: day20Portal{name: portal.name, inner: !portal.inner}, Second: 1})
}
distance := d.dijkstra(graph, entrancePortal, exitPortal, func(inPortal day20Portal) []u.Pair[day20Portal, int] { return graph[inPortal] })
return fmt.Sprintf("Steps to traverse maze: %s%d%s", u.TextBold, distance, u.TextReset)
}
func (d *Day20) Part2() string {
graph := d.buildGraph()
distance := d.dijkstra(graph, entrancePortal, exitPortal, func(inPortal day20Portal) []u.Pair[day20Portal, int] { return d.getDepthNeighbors(graph, inPortal) })
return fmt.Sprintf("Steps to traverse recursive maze: %s%d%s", u.TextBold, distance, u.TextReset)
}

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G R U E Z S S
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@ -53,6 +53,7 @@ var dayMap = []day{
&days.Day17{},
&days.Day18{},
&days.Day19{},
&days.Day20{},
}
func main() {