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109 changes: 108 additions & 1 deletion Challenges/0001-The_3n+1_problem/The3n+1.playground/Contents.swift
Original file line number Diff line number Diff line change
Expand Up @@ -19,9 +19,116 @@ Output the maximum cycle length found in the range defined by the input values i


func challenge_0001(i: Int, _ j: Int) -> Int {

/*:

Just in case...

*/

precondition( 0 < i)
precondition( i < j)
precondition( j < 1_000_000)

/*:

Wouldn't be great something like...
precondition( 0 < i < j < 1_000_000)

*/

var currentNumber = i

/*:

This is the returned value

*/

var maxLengthCycle = 0

/*:

Saves [number: count of the series for that number 'til 1]
Ex: challenge(1, 10) -> [1: 0, 2: 1, 4: 2]
If I found a number here it means it's a repeated cycle and I can't stop looking forward

*/

var duples: [Int: Int] = [:]

/*:

Current requirements for next value

*/

let nextNumberInCycle: (Int) -> Int = { number -> Int in
if number % 2 == 0 {
return number / 2
} else {
return (number * 3) + 1
}
}

mainLoop: repeat {

var cycle: [Int] = [currentNumber]
var cycleNumber = currentNumber

<#Write here your solution#>
repeat {
if var sum = duples[cycleNumber] { // repeted cycle found
maxLengthCycle = [maxLengthCycle, cycle.count + sum].maxElement()!

/*:

Fulfilling the whole cycle into duples

*/

cycle.reverse().forEach {
duples[$0] = sum
sum += 1
}

/*:

Neeeeext !!

*/

currentNumber += 1
continue mainLoop
}

cycleNumber = nextNumberInCycle(cycleNumber)
cycle.append(cycleNumber)

} while cycleNumber > 1

/*:

Looking for a winner

*/

maxLengthCycle = [maxLengthCycle, cycle.count].maxElement()!

/*:

Cycles to duples

*/

for (index, val) in cycle.enumerate() {
duples[val] = cycle.count - (index + 1)
}

currentNumber += 1
} while currentNumber <= j

return maxLengthCycle

}

//assert(challenge_0001(1, 10) == 20)
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Original file line number Diff line number Diff line change
Expand Up @@ -3,19 +3,19 @@
version = "3.0">
<TimelineItems>
<LoggerValueHistoryTimelineItem
documentLocation = "#CharacterRangeLen=0&amp;CharacterRangeLoc=2&amp;EndingColumnNumber=18&amp;EndingLineNumber=3&amp;StartingColumnNumber=12&amp;StartingLineNumber=3&amp;Timestamp=474936420.724354"
documentLocation = "#CharacterRangeLen=0&amp;CharacterRangeLoc=2&amp;EndingColumnNumber=18&amp;EndingLineNumber=4&amp;StartingColumnNumber=12&amp;StartingLineNumber=4&amp;Timestamp=476095235.6869"
lockedSize = "{1430, 52}"
selectedRepresentationIndex = "0"
shouldTrackSuperviewWidth = "NO">
</LoggerValueHistoryTimelineItem>
<LoggerValueHistoryTimelineItem
documentLocation = "#CharacterRangeLen=0&amp;CharacterRangeLoc=2&amp;EndingColumnNumber=40&amp;EndingLineNumber=3&amp;StartingColumnNumber=1&amp;StartingLineNumber=3&amp;Timestamp=474936420.72469"
documentLocation = "#CharacterRangeLen=0&amp;CharacterRangeLoc=2&amp;EndingColumnNumber=40&amp;EndingLineNumber=4&amp;StartingColumnNumber=1&amp;StartingLineNumber=4&amp;Timestamp=476095235.687235"
lockedSize = "{1438, 50}"
selectedRepresentationIndex = "0"
shouldTrackSuperviewWidth = "NO">
</LoggerValueHistoryTimelineItem>
<LoggerValueHistoryTimelineItem
documentLocation = "#CharacterRangeLen=0&amp;CharacterRangeLoc=2&amp;EndingColumnNumber=40&amp;EndingLineNumber=3&amp;StartingColumnNumber=1&amp;StartingLineNumber=3&amp;Timestamp=474936420.724944"
documentLocation = "#CharacterRangeLen=0&amp;CharacterRangeLoc=2&amp;EndingColumnNumber=40&amp;EndingLineNumber=4&amp;StartingColumnNumber=1&amp;StartingLineNumber=4&amp;Timestamp=476095235.687474"
lockedSize = "{1439, 50}"
selectedRepresentationIndex = "0"
shouldTrackSuperviewWidth = "NO">
Expand Down