216 lines
5.3 KiB
Kotlin
Vendored
216 lines
5.3 KiB
Kotlin
Vendored
// MAIN_ARGS: []
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/**
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* Let's Walk Through a Maze.
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*
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* Imagine there is a maze whose walls are the big 'O' letters.
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* Now, I stand where a big 'I' stands and some cool prize lies
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* somewhere marked with a '$' sign. Like this:
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*
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* OOOOOOOOOOOOOOOOO
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* O O
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* O$ O O
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* OOOOO O
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* O O
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* O OOOOOOOOOOOOOO
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* O O I O
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* O O
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* OOOOOOOOOOOOOOOOO
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*
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* I want to get the prize, and this program helps me do so as soon
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* as I possibly can by finding a shortest path through the maze.
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*/
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fun <E> MutableList<E>.offer(element: E) = this.add(element)
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fun <E> MutableList<E>.poll() = this.removeAt(0)
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/**
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* This function looks for a path from max.start to maze.end through
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* free space (a path does not go through walls). One can move only
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* straightly up, down, left or right, no diagonal moves allowed.
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*/
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fun findPath(maze: Maze): List<Pair<Int, Int>>? {
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val previous = HashMap<Pair<Int, Int>, Pair<Int, Int>>()
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val queue = ArrayDeque<Pair<Int, Int>>()
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val visited = HashSet<Pair<Int, Int>>()
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queue.offer(maze.start)
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visited.add(maze.start)
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while (!queue.isEmpty()) {
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val cell = queue.poll()
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if (cell == maze.end) break
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for (newCell in maze.neighbors(cell.first, cell.second)) {
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if (newCell in visited) continue
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previous[newCell] = cell
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queue.offer(newCell)
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visited.add(cell)
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}
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}
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if (previous[maze.end] == null) return null
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val path = ArrayList<Pair<Int, Int>>()
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var current = previous[maze.end]
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while (current != maze.start) {
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path.add(0, current!!)
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current = previous[current]
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}
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return path
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}
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/**
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* Find neighbors of the (i, j) cell that are not walls
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*/
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fun Maze.neighbors(i: Int, j: Int): List<Pair<Int, Int>> {
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val result = ArrayList<Pair<Int, Int>>()
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addIfFree(i - 1, j, result)
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addIfFree(i, j - 1, result)
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addIfFree(i + 1, j, result)
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addIfFree(i, j + 1, result)
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return result
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}
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fun Maze.addIfFree(i: Int, j: Int, result: MutableList<Pair<Int, Int>>) {
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if (i !in 0..height - 1) return
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if (j !in 0..width - 1) return
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if (walls[i][j]) return
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result.add(Pair(i, j))
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}
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/**
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* A data class that represents a maze
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*/
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class Maze(
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// Number or columns
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val width: Int,
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// Number of rows
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val height: Int,
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// true for a wall, false for free space
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val walls: Array<out Array<out Boolean>>,
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// The starting point (must not be a wall)
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val start: Pair<Int, Int>,
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// The target point (must not be a wall)
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val end: Pair<Int, Int>
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) {
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}
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/** A few maze examples here */
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fun main(args: Array<String>) {
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printMaze("I $")
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printMaze("I O $")
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printMaze("""
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O $
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O
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O
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O
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O I
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""".trimIndent())
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printMaze("""
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OOOOOOOOOOO
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O $ O
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OOOOOOO OOO
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O O
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OOOOO OOOOO
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O O
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O OOOOOOOOO
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O OO
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OOOOOO IO
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""".trimIndent())
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printMaze("""
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OOOOOOOOOOOOOOOOO
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O O
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O$ O O
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OOOOO O
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O O
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O OOOOOOOOOOOOOO
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O O I O
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O O
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OOOOOOOOOOOOOOOOO
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""".trimIndent())
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}
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// UTILITIES
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fun printMaze(str: String) {
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val maze = makeMaze(str)
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println("Maze:")
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val path = findPath(maze)
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for (i in 0..maze.height - 1) {
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for (j in 0..maze.width - 1) {
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val cell = Pair(i, j)
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print(
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if (maze.walls[i][j]) "O"
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else if (cell == maze.start) "I"
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else if (cell == maze.end) "$"
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else if (path != null && path.contains(cell)) "~"
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else " "
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)
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}
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println("")
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}
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println("Result: " + if (path == null) "No path" else "Path found")
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println("")
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}
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/**
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* A maze is encoded in the string s: the big 'O' letters are walls.
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* I stand where a big 'I' stands and the prize is marked with
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* a '$' sign.
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*
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* Example:
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*
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* OOOOOOOOOOOOOOOOO
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* O O
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* O$ O O
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* OOOOO O
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* O O
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* O OOOOOOOOOOOOOO
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* O O I O
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* O O
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* OOOOOOOOOOOOOOOOO
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*/
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fun makeMaze(s: String): Maze {
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val lines = s.split("\n")!!
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val w = lines.maxWithOrNull(Comparator { o1, o2 ->
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val l1: Int = o1?.length ?: 0
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val l2 = o2?.length ?: 0
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l1 - l2
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})!!
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val data = Array<Array<Boolean>>(lines.size) { Array<Boolean>(w.length) { false } }
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var start: Pair<Int, Int>? = null
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var end: Pair<Int, Int>? = null
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for (line in lines.indices) {
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for (x in lines[line].indices) {
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val c = lines[line]!![x]
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data[line][x] = c == 'O'
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when (c) {
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'I' -> start = Pair(line, x)
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'$' -> end = Pair(line, x)
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else -> {
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}
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}
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}
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}
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if (start == null) {
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throw IllegalArgumentException("No starting point in the maze (should be indicated with 'I')")
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}
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if (end == null) {
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throw IllegalArgumentException("No goal point in the maze (should be indicated with a '$' sign)")
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}
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return Maze(w.length, lines.size, data, start!!, end!!)
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}
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// An excerpt from the Standard Library
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val String?.indices: IntRange get() = IntRange(0, this!!.length)
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