Minimum steps to reach target by a Knight In Scala












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Given a chessboard of N size (square matrix), the position of Knight and position of a target find out minimum steps ( both count and exact steps) from start tp target for a Knight.



If it is not possible to reach to the given position return -1 as step count.



Here is implementation in scala (assuming N = 4 or 4X4 chess board).



import scala.collection.mutable._

object KnightMoves extends App {
case class Pos(row: Int, col: Int)
val Size = 4

def calculateMoves(from: Pos, target: Pos ): (Int, Seq[Pos])= {
val pendingPos = collection.mutable.Queue[Pos](from)
val positionVisited = collection.mutable.HashMap[Pos, (Int, Seq[Pos])](from -> (0, Seq()))
var targetReached = false

while(pendingPos.nonEmpty && !targetReached) {
val p = pendingPos.dequeue()
possibleMoves(p) foreach { position =>
if ( position == target) {
targetReached = true
} else if (!(positionVisited contains position)) {
pendingPos enqueue position
}
positionVisited += position -> ((positionVisited(p)._1 + 1,(positionVisited(p)._2 ++ Seq(p))))
}
}
if (targetReached) positionVisited(target) else (-1, Seq())
}

def isValidPos(position: Pos): Boolean =
((0 until Size) contains position.row) && ((0 until Size) contains position.col)

def possibleMoves(position: Pos): List[Pos] =
List(Pos(position.row - 2, position.col + 1),
Pos(position.row - 2, position.col - 1),
Pos(position.row + 2, position.col + 1),
Pos(position.row + 2, position.col - 1),
Pos(position.row - 1 , position.col + 2),
Pos(position.row - 1 , position.col - 2),
Pos(position.row + 1 , position.col + 2),
Pos(position.row + 1 , position.col - 2)
) filter( pos => isValidPos(pos))

println(calculateMoves(Pos(0,1),Pos(0,0)))
println(calculateMoves(Pos(0,1),Pos(0,2)))
}


Program generate following output for two test statements at bottom.



(3,ArrayBuffer(Pos(0,1), Pos(2,0), Pos(1,2)))
(3,ArrayBuffer(Pos(0,1), Pos(2,2), Pos(1,0)))









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    0














    Given a chessboard of N size (square matrix), the position of Knight and position of a target find out minimum steps ( both count and exact steps) from start tp target for a Knight.



    If it is not possible to reach to the given position return -1 as step count.



    Here is implementation in scala (assuming N = 4 or 4X4 chess board).



    import scala.collection.mutable._

    object KnightMoves extends App {
    case class Pos(row: Int, col: Int)
    val Size = 4

    def calculateMoves(from: Pos, target: Pos ): (Int, Seq[Pos])= {
    val pendingPos = collection.mutable.Queue[Pos](from)
    val positionVisited = collection.mutable.HashMap[Pos, (Int, Seq[Pos])](from -> (0, Seq()))
    var targetReached = false

    while(pendingPos.nonEmpty && !targetReached) {
    val p = pendingPos.dequeue()
    possibleMoves(p) foreach { position =>
    if ( position == target) {
    targetReached = true
    } else if (!(positionVisited contains position)) {
    pendingPos enqueue position
    }
    positionVisited += position -> ((positionVisited(p)._1 + 1,(positionVisited(p)._2 ++ Seq(p))))
    }
    }
    if (targetReached) positionVisited(target) else (-1, Seq())
    }

    def isValidPos(position: Pos): Boolean =
    ((0 until Size) contains position.row) && ((0 until Size) contains position.col)

    def possibleMoves(position: Pos): List[Pos] =
    List(Pos(position.row - 2, position.col + 1),
    Pos(position.row - 2, position.col - 1),
    Pos(position.row + 2, position.col + 1),
    Pos(position.row + 2, position.col - 1),
    Pos(position.row - 1 , position.col + 2),
    Pos(position.row - 1 , position.col - 2),
    Pos(position.row + 1 , position.col + 2),
    Pos(position.row + 1 , position.col - 2)
    ) filter( pos => isValidPos(pos))

    println(calculateMoves(Pos(0,1),Pos(0,0)))
    println(calculateMoves(Pos(0,1),Pos(0,2)))
    }


    Program generate following output for two test statements at bottom.



    (3,ArrayBuffer(Pos(0,1), Pos(2,0), Pos(1,2)))
    (3,ArrayBuffer(Pos(0,1), Pos(2,2), Pos(1,0)))









    share|improve this question

























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      0







      Given a chessboard of N size (square matrix), the position of Knight and position of a target find out minimum steps ( both count and exact steps) from start tp target for a Knight.



      If it is not possible to reach to the given position return -1 as step count.



      Here is implementation in scala (assuming N = 4 or 4X4 chess board).



      import scala.collection.mutable._

      object KnightMoves extends App {
      case class Pos(row: Int, col: Int)
      val Size = 4

      def calculateMoves(from: Pos, target: Pos ): (Int, Seq[Pos])= {
      val pendingPos = collection.mutable.Queue[Pos](from)
      val positionVisited = collection.mutable.HashMap[Pos, (Int, Seq[Pos])](from -> (0, Seq()))
      var targetReached = false

      while(pendingPos.nonEmpty && !targetReached) {
      val p = pendingPos.dequeue()
      possibleMoves(p) foreach { position =>
      if ( position == target) {
      targetReached = true
      } else if (!(positionVisited contains position)) {
      pendingPos enqueue position
      }
      positionVisited += position -> ((positionVisited(p)._1 + 1,(positionVisited(p)._2 ++ Seq(p))))
      }
      }
      if (targetReached) positionVisited(target) else (-1, Seq())
      }

      def isValidPos(position: Pos): Boolean =
      ((0 until Size) contains position.row) && ((0 until Size) contains position.col)

      def possibleMoves(position: Pos): List[Pos] =
      List(Pos(position.row - 2, position.col + 1),
      Pos(position.row - 2, position.col - 1),
      Pos(position.row + 2, position.col + 1),
      Pos(position.row + 2, position.col - 1),
      Pos(position.row - 1 , position.col + 2),
      Pos(position.row - 1 , position.col - 2),
      Pos(position.row + 1 , position.col + 2),
      Pos(position.row + 1 , position.col - 2)
      ) filter( pos => isValidPos(pos))

      println(calculateMoves(Pos(0,1),Pos(0,0)))
      println(calculateMoves(Pos(0,1),Pos(0,2)))
      }


      Program generate following output for two test statements at bottom.



      (3,ArrayBuffer(Pos(0,1), Pos(2,0), Pos(1,2)))
      (3,ArrayBuffer(Pos(0,1), Pos(2,2), Pos(1,0)))









      share|improve this question













      Given a chessboard of N size (square matrix), the position of Knight and position of a target find out minimum steps ( both count and exact steps) from start tp target for a Knight.



      If it is not possible to reach to the given position return -1 as step count.



      Here is implementation in scala (assuming N = 4 or 4X4 chess board).



      import scala.collection.mutable._

      object KnightMoves extends App {
      case class Pos(row: Int, col: Int)
      val Size = 4

      def calculateMoves(from: Pos, target: Pos ): (Int, Seq[Pos])= {
      val pendingPos = collection.mutable.Queue[Pos](from)
      val positionVisited = collection.mutable.HashMap[Pos, (Int, Seq[Pos])](from -> (0, Seq()))
      var targetReached = false

      while(pendingPos.nonEmpty && !targetReached) {
      val p = pendingPos.dequeue()
      possibleMoves(p) foreach { position =>
      if ( position == target) {
      targetReached = true
      } else if (!(positionVisited contains position)) {
      pendingPos enqueue position
      }
      positionVisited += position -> ((positionVisited(p)._1 + 1,(positionVisited(p)._2 ++ Seq(p))))
      }
      }
      if (targetReached) positionVisited(target) else (-1, Seq())
      }

      def isValidPos(position: Pos): Boolean =
      ((0 until Size) contains position.row) && ((0 until Size) contains position.col)

      def possibleMoves(position: Pos): List[Pos] =
      List(Pos(position.row - 2, position.col + 1),
      Pos(position.row - 2, position.col - 1),
      Pos(position.row + 2, position.col + 1),
      Pos(position.row + 2, position.col - 1),
      Pos(position.row - 1 , position.col + 2),
      Pos(position.row - 1 , position.col - 2),
      Pos(position.row + 1 , position.col + 2),
      Pos(position.row + 1 , position.col - 2)
      ) filter( pos => isValidPos(pos))

      println(calculateMoves(Pos(0,1),Pos(0,0)))
      println(calculateMoves(Pos(0,1),Pos(0,2)))
      }


      Program generate following output for two test statements at bottom.



      (3,ArrayBuffer(Pos(0,1), Pos(2,0), Pos(1,2)))
      (3,ArrayBuffer(Pos(0,1), Pos(2,2), Pos(1,0)))






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      asked 10 mins ago









      vikrant

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