Minimum steps to reach target by a Knight In Scala
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)))
interview-questions functional-programming matrix scala cache
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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)))
interview-questions functional-programming matrix scala cache
add a comment |
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)))
interview-questions functional-programming matrix scala cache
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)))
interview-questions functional-programming matrix scala cache
interview-questions functional-programming matrix scala cache
asked 10 mins ago
vikrant
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