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Towers of hanoi
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// Challenge set here... | |
// https://blog.svpino.com/2015/06/07/programming-challenge-towers-of-hanoi | |
import UIKit | |
// convenience for printing | |
func moveRing(ring : Int, currentPole: Int, targetPole: Int) { | |
println("Move ring \(ring) from pole \(currentPole) to pole \(targetPole)") | |
} | |
// recursive function | |
func towersOfHanoi(rings : [Int], currentPole: Int, targetPole: Int) { | |
// only one ring. Just move it to target | |
if rings.count == 1 { | |
moveRing(rings[0], currentPole, targetPole) | |
return | |
} | |
// get all but the bottom ring | |
let topRings : [Int] = Array(rings[0..<rings.count - 1]) | |
// set new target to "empty" pole | |
let newTarget = [1, 2, 3].filter{ | |
$0 != currentPole && $0 != targetPole | |
}[0] | |
// move them to the new target | |
towersOfHanoi(topRings, currentPole, newTarget) | |
// move bottom pole to target | |
moveRing(rings[rings.count - 1], currentPole, targetPole) | |
// move other rings to target | |
towersOfHanoi(topRings, newTarget, targetPole) | |
} | |
let rings = [1, 2, 3, 4] | |
println("Number of moves = \(Int(pow(2.0, Double(rings.count))) - 1)") | |
towersOfHanoi(rings, 1, 3) |
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Further improved