/**
 * Let's Walk Through a Maze.
 *
 * Imagine there is a maze whose walls are the big 'O' letters.
 * Now, I stand where a big 'I' stands and some cool prize lies
 * somewhere marked with a '$' sign. Like this:
 *
 *    OOOOOOOOOOOOOOOOO
 *    O               O
 *    O$  O           O
 *    OOOOO           O
 *    O               O
 *    O  OOOOOOOOOOOOOO
 *    O           O I O
 *    O               O
 *    OOOOOOOOOOOOOOOOO
 *
 * I want to get the prize, and this program helps me do so as soon
 * as I possibly can by finding a shortest path through the maze.
 */
import java.util.*

/**
 * This function looks for a path from max.start to maze.end through
 * free space (a path does not go through walls). One can move only
 * straightly up, down, left or right, no diagonal moves allowed.
 */
fun findPath(maze : Maze) : List<#(Int, Int)>? {
    val previous = HashMap<#(Int, Int), #(Int, Int)>

    val queue = LinkedList<#(Int, Int)>
    val visited = HashSet<#(Int, Int)>

    queue.offer(maze.start)
    visited.add(maze.start)
    while (!queue.isEmpty()) {
      val cell = queue.poll()
      if (cell == maze.end) break

      for (newCell in maze.neighbors(cell._1, cell._2)) {
        if (newCell in visited) continue
        previous[newCell] = cell
        queue.offer(newCell)
        visited.add(cell)
      }
    }

    if (previous[maze.end] == null) return null

    val path = ArrayList<#(Int, Int)>()
    var current = previous[maze.end]
    while (current != maze.start) {
        path.add(0, current)
        current = previous[current]
    }
    return path
}

/**
 * Find neighbors of the (i, j) cell that are not walls
 */
fun Maze.neighbors(i : Int, j : Int) : List<#(Int, Int)> {
  val result = ArrayList<#(Int, Int)>
  addIfFree(i - 1, j, result)
  addIfFree(i, j - 1, result)
  addIfFree(i + 1, j, result)
  addIfFree(i, j + 1, result)
  return result
}

fun Maze.addIfFree(i : Int, j : Int, result : List<#(Int, Int)>) {
  if (i !in 0..height-1) return
  if (j !in 0..width-1) return
  if (walls[i][j]) return

  result.add(#(i, j))
}

/**
 * A data class that represents a maze
 */
class Maze(
    // Number or columns
    val width : Int,
    // Number of rows
    val height : Int,
    // true for a wall, false for free space
    val walls : Array<out Array<out Boolean>>,
    // The starting point (must not be a wall)
    val start : #(Int, Int),
    // The target point (must not be a wall)
    val end : #(Int, Int)
) {
}

/** A few maze examples here */
fun main(args : Array<String>) {
  printMaze("I  $")
  printMaze("I O $")
  printMaze("""
    O  $
    O
    O
    O
    O           I
  """)
  printMaze("""
    OOOOOOOOOOO
    O $       O
    OOOOOOO OOO
    O         O
    OOOOO OOOOO
    O         O
    O OOOOOOOOO
    O        OO
    OOOOOO   IO
  """)
  printMaze("""
    OOOOOOOOOOOOOOOOO
    O               O
    O$  O           O
    OOOOO           O
    O               O
    O  OOOOOOOOOOOOOO
    O           O I O
    O               O
    OOOOOOOOOOOOOOOOO
  """)
}

// UTILITIES

fun printMaze(str : String) {
  val maze = makeMaze(str)

  println("Maze:")
  val path = findPath(maze)
  for (i in 0..maze.height - 1) {
    for (j in 0..maze.width - 1) {
      val cell = #(i, j)
        print(
          if (maze.walls[i][j]) "O"
          else if (cell == maze.start) "I"
          else if (cell == maze.end) "$"
          else if (path != null && path.contains(cell)) "~"
          else " "
        )
      }
      println("")
   }
  println("Result: " + if (path == null) "No path" else "Path found")
  println("")
}


/**
 * A maze is encoded in the string s: the big 'O' letters are walls.
 * I stand where a big 'I' stands and the prize is marked with
 * a '$' sign.
 *
 * Example:
 *
 *    OOOOOOOOOOOOOOOOO
 *    O               O
 *    O$  O           O
 *    OOOOO           O
 *    O               O
 *    O  OOOOOOOOOOOOOO
 *    O           O I O
 *    O               O
 *    OOOOOOOOOOOOOOOOO
 */
fun makeMaze(s : String) : Maze {
  val lines = s.split("\n").sure()
  val w = max<String?>(lines.toList(), comparator<String?> {o1, o2 ->
          val l1 : Int = o1?.size ?: 0
          val l2 = o2?.size ?: 0
          l1 - l2
  }).sure()
  val data = Array<Array<Boolean>>(lines.size) {Array<Boolean>(w.size) {false}}

  var start : #(Int, Int)? = null
  var end : #(Int, Int)? = null

  for (line in lines.indices) {
    for (x in lines[line].indices) {
      val c = lines[line].sure()[x]
      data[line][x] = c == 'O'
      when (c) {
        'I' -> start = #(line, x)
        '$' -> end = #(line, x)
        else -> {}
      }
    }
  }

  if (start == null) {
      throw IllegalArgumentException("No starting point in the maze (should be indicated with 'I')")
  }

  if (end == null) {
      throw IllegalArgumentException("No goal point in the maze (should be indicated with a '$' sign)")
  }

  return Maze(w.size, lines.size, data, start.sure(), end.sure())
}


// An excerpt from the Standard Library
val String?.indices : IntRange get() = IntRange(0, this.sure().size)

fun <K, V> Map<K, V>.set(k : K, v : V) { put(k, v) }

fun comparator<T> (f : (T, T) -> Int) : Comparator<T> = object : Comparator<T> {
  override fun compare(o1 : T, o2 : T) : Int = f(o1, o2)
  override fun equals(p : Any?) : Boolean = false
}

fun <T, C: Collection<T>> Array<T>.to(result: C) : C {
  for (elem in this)
  result.add(elem)
  return result
}

/**
 * Let's Walk Through a Maze.
 *
 * Imagine there is a maze whose walls are the big 'O' letters.
 * Now, I stand where a big 'I' stands and some cool prize lies
 * somewhere marked with a '$' sign. Like this:
 *
 *    OOOOOOOOOOOOOOOOO
 *    O               O
 *    O$  O           O
 *    OOOOO           O
 *    O               O
 *    O  OOOOOOOOOOOOOO
 *    O           O I O
 *    O               O
 *    OOOOOOOOOOOOOOOOO
 *
 * I want to get the prize, and this program helps me do so as soon
 * as I possibly can by finding a shortest path through the maze.
 */
import java.util.*

/**
 * This function looks for a path from max.start to maze.end through
 * free space (a path does not go through walls). One can move only
 * straightly up, down, left or right, no diagonal moves allowed.
 */
fun findPath(maze : Maze) : List<#(Int, Int)>? {
    val previous = HashMap<#(Int, Int), #(Int, Int)>

    val queue = LinkedList<#(Int, Int)>
    val visited = HashSet<#(Int, Int)>

    queue.offer(maze.start)
    visited.add(maze.start)
    while (!queue.isEmpty()) {
      val cell = queue.poll()
      if (cell == maze.end) break

      for (newCell in maze.neighbors(cell._1, cell._2)) {
        if (newCell in visited) continue
        previous[newCell] = cell
        queue.offer(newCell)
        visited.add(cell)
      }
    }

    if (previous[maze.end] == null) return null

    val path = ArrayList<#(Int, Int)>()
    var current = previous[maze.end]
    while (current != maze.start) {
        path.add(0, current)
        current = previous[current]
    }
    return path
}

/**
 * Find neighbors of the (i, j) cell that are not walls
 */
fun Maze.neighbors(i : Int, j : Int) : List<#(Int, Int)> {
  val result = ArrayList<#(Int, Int)>
  addIfFree(i - 1, j, result)
  addIfFree(i, j - 1, result)
  addIfFree(i + 1, j, result)
  addIfFree(i, j + 1, result)
  return result
}

fun Maze.addIfFree(i : Int, j : Int, result : List<#(Int, Int)>) {
  if (i !in 0..height-1) return
  if (j !in 0..width-1) return
  if (walls[i][j]) return

  result.add(#(i, j))
}

/**
 * A data class that represents a maze
 */
class Maze(
    // Number or columns
    val width : Int,
    // Number of rows
    val height : Int,
    // true for a wall, false for free space
    val walls : Array<out Array<out Boolean>>,
    // The starting point (must not be a wall)
    val start : #(Int, Int),
    // The target point (must not be a wall)
    val end : #(Int, Int)
) {
}

/** A few maze examples here */
fun main(args : Array<String>) {
  printMaze("I  $")
  printMaze("I O $")
  printMaze("""
    O  $
    O
    O
    O
    O           I
  """)
  printMaze("""
    OOOOOOOOOOO
    O $       O
    OOOOOOO OOO
    O         O
    OOOOO OOOOO
    O         O
    O OOOOOOOOO
    O        OO
    OOOOOO   IO
  """)
  printMaze("""
    OOOOOOOOOOOOOOOOO
    O               O
    O$  O           O
    OOOOO           O
    O               O
    O  OOOOOOOOOOOOOO
    O           O I O
    O               O
    OOOOOOOOOOOOOOOOO
  """)
}

// UTILITIES

fun printMaze(str : String) {
  val maze = makeMaze(str)

  println("Maze:")
  val path = findPath(maze)
  for (i in 0..maze.height - 1) {
    for (j in 0..maze.width - 1) {
      val cell = #(i, j)
        print(
          if (maze.walls[i][j]) "O"
          else if (cell == maze.start) "I"
          else if (cell == maze.end) "$"
          else if (path != null && path.contains(cell)) "~"
          else " "
        )
      }
      println("")
   }
  println("Result: " + if (path == null) "No path" else "Path found")
  println("")
}


/**
 * A maze is encoded in the string s: the big 'O' letters are walls.
 * I stand where a big 'I' stands and the prize is marked with
 * a '$' sign.
 *
 * Example:
 *
 *    OOOOOOOOOOOOOOOOO
 *    O               O
 *    O$  O           O
 *    OOOOO           O
 *    O               O
 *    O  OOOOOOOOOOOOOO
 *    O           O I O
 *    O               O
 *    OOOOOOOOOOOOOOOOO
 */
fun makeMaze(s : String) : Maze {
  val lines = s.split("\n").sure()
  val w = max<String?>(lines.toList(), comparator<String?> {o1, o2 ->
          val l1 : Int = o1?.size ?: 0
          val l2 = o2?.size ?: 0
          l1 - l2
  }).sure()
  val data = Array<Array<Boolean>>(lines.size) {Array<Boolean>(w.size) {false}}

  var start : #(Int, Int)? = null
  var end : #(Int, Int)? = null

  for (line in lines.indices) {
    for (x in lines[line].indices) {
      val c = lines[line].sure()[x]
      data[line][x] = c == 'O'
      when (c) {
        'I' -> start = #(line, x)
        '$' -> end = #(line, x)
        else -> {}
      }
    }
  }

  if (start == null) {
      throw IllegalArgumentException("No starting point in the maze (should be indicated with 'I')")
  }

  if (end == null) {
      throw IllegalArgumentException("No goal point in the maze (should be indicated with a '$' sign)")
  }

  return Maze(w.size, lines.size, data, start.sure(), end.sure())
}


// An excerpt from the Standard Library
val String?.indices : IntRange get() = IntRange(0, this.sure().size)

fun <K, V> Map<K, V>.set(k : K, v : V) { put(k, v) }

fun comparator<T> (f : (T, T) -> Int) : Comparator<T> = object : Comparator<T> {
  override fun compare(o1 : T, o2 : T) : Int = f(o1, o2)
  override fun equals(p : Any?) : Boolean = false
}

fun <T, C: Collection<T>> Array<T>.to(result: C) : C {
  for (elem in this)
  result.add(elem)
  return result
}
