Created
March 2, 2013 02:20
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| /* | |
| * @author Fayimora | |
| * @description 3n + 1 game | |
| */ | |
| object ThreeN extends App | |
| { | |
| def sequence(num: Int) = { | |
| def recurthreeN(xs: Array[Int], n: Int): Array[Int] = n match { | |
| case x if n == 1 => xs :+ 1; xs | |
| case x if n%2==0 => recurthreeN( xs:+ n/2, n/2) | |
| case _ => | |
| val t = 3*n + 1 | |
| recurthreeN(xs :+ t, t) | |
| } | |
| recurthreeN(Array(num), num) | |
| } | |
| def lengthBumpy(num: Int) = sequence(num).length | |
| // Tests for fun | |
| val ten = sequence(10) | |
| val eleven = sequence(11) | |
| // Show the content of the collection | |
| println(ten mkString ", ") | |
| println(eleven mkString ", ") | |
| // Use lengthBumpy | |
| println(lengthBumpy(10)) | |
| println(lengthBumpy(11)) | |
| } |
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| <title>~/Code/Scala/ThreeN.scala.html</title> | |
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| <pre id='vimCodeElement'> | |
| <span class="LineNr"> 1 </span><span class="Comment">/*</span> | |
| <span class="LineNr"> 2 </span><span class="Comment"> * @author Fayimora</span> | |
| <span class="LineNr"> 3 </span><span class="Comment"> * @description 3n + 1 game</span> | |
| <span class="LineNr"> 4 </span><span class="Comment"> */</span> | |
| <span class="LineNr"> 5 </span><span class="Statement">object</span> <span class="Special">ThreeN</span> <span class="Statement">extends</span> <span class="Special">App</span> | |
| <span class="LineNr"> 6 </span>{ | |
| <span class="LineNr"> 7 </span> <span class="Statement">def</span> <span class="Identifier">sequence</span>(num:<span class="Type"> Int</span>) = { | |
| <span class="LineNr"> 8 </span> <span class="Statement">def</span> <span class="Identifier">recurthreeN</span>(xs:<span class="Type"> Array[Int]</span>, n:<span class="Type"> Int</span>):<span class="Type"> Array[Int]</span> = n <span class="Statement">match</span> { | |
| <span class="LineNr"> 9 </span> <span class="Statement">case</span> x <span class="Statement">if</span> n == <span class="Constant">1</span> <span class="Statement">=></span> xs :+ <span class="Constant">1</span>; xs | |
| <span class="LineNr">10 </span> <span class="Statement">case</span> x <span class="Statement">if</span> n%<span class="Constant">2</span>==<span class="Constant">0</span> <span class="Statement">=></span> recurthreeN( xs:+ n/<span class="Constant">2</span>, n/<span class="Constant">2</span>) | |
| <span class="LineNr">11 </span> <span class="Statement">case</span> <span class="Statement">_</span> <span class="Statement">=></span> | |
| <span class="LineNr">12 </span> <span class="Statement">val</span> t = <span class="Constant">3</span>*n + <span class="Constant">1</span> | |
| <span class="LineNr">13 </span> recurthreeN(xs :+ t, t) | |
| <span class="LineNr">14 </span> } | |
| <span class="LineNr">15 </span> recurthreeN(<span class="Special">Array</span>(num), num) | |
| <span class="LineNr">16 </span> } | |
| <span class="LineNr">17 </span> <span class="Statement">def</span> <span class="Identifier">lengthBumpy</span>(num:<span class="Type"> Int</span>) = sequence(num).length | |
| <span class="LineNr">18 </span> | |
| <span class="LineNr">19 </span> <span class="Comment">// Tests for fun</span> | |
| <span class="LineNr">20 </span> <span class="Statement">val</span> ten = sequence(<span class="Constant">10</span>) | |
| <span class="LineNr">21 </span> <span class="Statement">val</span> eleven = sequence(<span class="Constant">11</span>) | |
| <span class="LineNr">22 </span> | |
| <span class="LineNr">23 </span> <span class="Comment">// Show the content of the collection</span> | |
| <span class="LineNr">24 </span> println(ten mkString <span class="Constant">", "</span>) | |
| <span class="LineNr">25 </span> println(eleven mkString <span class="Constant">", "</span>) | |
| <span class="LineNr">26 </span> | |
| <span class="LineNr">27 </span> <span class="Comment">// Use lengthBumpy</span> | |
| <span class="LineNr">28 </span> println(lengthBumpy(<span class="Constant">10</span>)) | |
| <span class="LineNr">29 </span> println(lengthBumpy(<span class="Constant">11</span>)) | |
| <span class="LineNr">30 </span>} | |
| </pre> | |
| </body> | |
| </html> |
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