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  1. /**
  2.  * author: Serkan Eryilmaz
  3.  */
  4.  
  5. object Origami {
  6.  
  7.   type OrigamiSheet = List[List[List[Int]]]
  8.  
  9.   def foldLeft(sheet: OrigamiSheet): OrigamiSheet = {
  10.     sheet.map{line =>
  11.       val (left, right) = line.splitAt(line.length/2)
  12.       left.reverse.zip(right).map{
  13.         case (a,b) =>
  14.           a.reverse ::: b
  15.       }
  16.     }
  17.   }
  18.  
  19.   def foldRight(sheet: OrigamiSheet): OrigamiSheet = {
  20.     sheet.map{line =>
  21.       val (left, right) = line.splitAt(line.length/2)
  22.       right.reverse.zip(left).map{
  23.         case (a,b) =>
  24.           a.reverse ::: b
  25.       }
  26.     }
  27.   }
  28.  
  29.   def foldTop(sheet: OrigamiSheet): OrigamiSheet = {
  30.     val (top, bottom) = sheet.splitAt(sheet.length/2)
  31.     top.reverse.zip(bottom).map{
  32.       case (topLine,bottomLine) =>
  33.         topLine.zip(bottomLine).map{
  34.           case (top, bot) =>
  35.             top.reverse ::: bot
  36.         }
  37.     }
  38.   }
  39.  
  40.   def foldBottom(sheet: OrigamiSheet): OrigamiSheet = {
  41.     val (top, bottom) = sheet.splitAt(sheet.length/2)
  42.     bottom.reverse.zip(top).map{
  43.       case (topLine,bottomLine) =>
  44.         bottomLine.zip(topLine).map{
  45.           case (a, b) =>
  46.             b.reverse ::: a
  47.         }
  48.     }
  49.   }
  50.  
  51.   private def doFold(sheet: OrigamiSheet, fold: String): OrigamiSheet = {
  52.     if (fold.length > 0) {
  53.       fold.head match {
  54.         case 'L' =>
  55.           doFold(foldLeft(sheet), fold.tail)
  56.         case 'R' =>
  57.           doFold(foldRight(sheet), fold.tail)
  58.         case 'T' =>
  59.           doFold(foldTop(sheet), fold.tail)
  60.         case 'B' =>
  61.           doFold(foldBottom(sheet), fold.tail)
  62.         case _ =>
  63.           println("unrecognized character")
  64.           sheet
  65.       }
  66.     } else {
  67.       sheet
  68.     }
  69.   }
  70.  
  71.   /**
  72.    *
  73.    * @param foldType
  74.    * @return
  75.    */
  76.   def fold(foldType: String): OrigamiSheet = {
  77.     val n = 1 << (foldType.length / 2)
  78.     val initial = (for (i <- 0 until n) yield {
  79.       (for (j <- 1 to n) yield List((i*n)+j)).toList
  80.     }).toList
  81.     doFold(initial, foldType)
  82.   }
  83.  
  84.   def show(list: OrigamiSheet) {
  85.     println(list.flatten.flatten.mkString(", "))
  86.   }
  87. }
  88.  
  89. object Main {
  90.   def main(args: Array[String]) {
  91.     import Origami._
  92.     show(fold("TLRB"))
  93.   }
  94. }
Success #stdin #stdout 0.3s 247424KB
comments (?)
stdin 
Standard input is empty
stdout 
15, 3, 2, 14, 13, 1, 4, 16, 12, 8, 5, 9, 10, 6, 7, 11
https://ideone.com/QaXGq
language:
Scala (scala 2.12.8)
created:
13 years ago
visibility:
public

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