Problem:
気象予報士 (Weather Forecaster)

問題

JOI 市は南北方向に H キロメートル，東西方向に W キロメートルの長方形の形をしており，H × W 個の 1 キロメートル四方の小区画に区切られている．北から i 番目，西から j 番目の小区画を (i, j) と表す．

各小区画は上空に雲があるか雲がないかのどちらかである．すべての雲は，1 分経つごとに 1 キロメートル東に移動する．今日は実に天気が良いため，JOI 市の外から JOI 市内に雲が移動してくることはない．

今，各小区画の上空に雲があるかないかがわかっている．気象予報士であるあなたは，各小区画について，今から何分後に初めてその小区画の上空に雲が来るかを予測することになった．

各小区画について，今から何分後に初めてその小区画の上空に雲が来るか求めよ．

入力

入力は 1 + H 行からなる．

1 行目には，整数 H, W (1 ≤ H ≤ 100, 1 ≤ W ≤ 100) が空白を区切りとして書かれている．これは，JOI 市が H × W 個の 1 キロメートル四方の小区画に区切られていることを表す．

続く H 行のうちの i 行目 (1 ≤ i ≤ H) には W 文字からなる文字列が書かれている．W 文字のうちの j 文字目 (1 ≤ j ≤ W) は，小区画 (i, j) の上空に，今，雲があるかどうかを表す．雲がある場合は文字 'c' (英小文字) が，雲がない場合は文字 '.' (ピリオド) が書かれている．

出力

出力は H 行からなり，それぞれの行は空白を区切りとした W 個の整数からなる．出力の i 行目の j 番目の整数 (1 ≤ i ≤ H, 1 ≤ j ≤ W) は，今から何分後に初めて小区画 (i, j) の上空に雲が来るかを表さなければならない．ただし，今すでに小区画 (i, j) の上空に雲がある場合は 0 を，何分経っても小区画 (i, j) の上空に雲が来ない場合は -1 を出力せよ．

出力の各行の行頭と行末には余計な空白を入れないこと．

入出力例

入力例 1

3 4
c..c
..c.
....

出力例 1

0 1 2 0
-1 -1 0 1
-1 -1 -1 -1

入力例 2

6 8
.c......
........
.ccc..c.
....c...
..c.cc..
....c...

出力例 2

-1 0 1 2 3 4 5 6
-1 -1 -1 -1 -1 -1 -1 -1
-1 0 0 0 1 2 0 1
-1 -1 -1 -1 0 1 2 3
-1 -1 0 1 0 0 1 2
-1 -1 -1 -1 0 1 2 3

入出力例 1 では，JOI 市は 3 × 4 個の小区画に区切られている．今の JOI 市の雲の状況は以下の通りである．図の上が北を表す．

この後，1 分ごとに雲は以下のように移動する．

問題文と自動審判に使われるデータは、情報オリンピック日本委員会が作成し公開している問題文と採点用テストデータです。

Solution in Scala (judge verdict: Accepted)

//import java.util.Scanner

import java.io._
import java.nio.file.Files._
import java.nio.file.Path
import java.util.StringTokenizer

import scala.collection.immutable._
import scala.io.Codec

/**
  * Scala implementation of a faster java.util.Scanner
  * See: http://codeforces.com/blog/entry/7018
  */

class Scanner(reader: LineNumberReader) extends Iterable[String] with AutoCloseable {
  def this(reader: BufferedReader) = this(new LineNumberReader(reader))

  def this(reader: Reader) = this(new BufferedReader(reader))

  def this(inputStream: InputStream)(implicit codec: Codec) = this(new InputStreamReader(inputStream, codec.charSet))

  def this(path: Path)(implicit codec: Codec) = this(newBufferedReader(path, codec.charSet))

  def this(file: File)(implicit codec: Codec) = this(file.toPath)(codec)

  def this(str: String) = this(new StringReader(str))

  override def iterator: Iterator[String] = for {
    line <- Iterator.continually(reader.readLine()).takeWhile(_ != null)
    tokenizer = new StringTokenizer(line)
    tokens <- Iterator.continually(tokenizer).takeWhile(_.hasMoreTokens)
  } yield tokens.nextToken()

  private[this] var current = iterator

  def hasNext: Boolean = current.hasNext

  @inline def next(): String = current.next()

  /**
    * This is different from Java's scanner.nextLine
    * The Java one is a misnomer since it actually travel to end of current line
    * This one actually does fetch the next line
    */
  def nextLine(): String = {
    val line = reader.readLine()
    current = iterator
    line
  }

  def lineNumber: Int = reader.getLineNumber

  def nextString(): String = next()

  def nextBoolean(): Boolean = next().toBoolean

  def nextByte(radix: Int = 10): Byte = java.lang.Byte.parseByte(next(), radix)

  def nextShort(radix: Int = 10): Short = java.lang.Short.parseShort(next(), radix)

  def nextInt(radix: Int = 10): Int = java.lang.Integer.parseInt(next(), radix)

  def nextLong(radix: Int = 10): Long = java.lang.Long.parseLong(next(), radix)

  def nextBigInt(radix: Int = 10): BigInt = BigInt(next(), radix)

  def nextFloat(): Float = next().toFloat

  def nextDouble(): Double = next().toDouble

  def nextBigDecimal(): BigDecimal = BigDecimal(next())

  override def close(): Unit = reader.close()
}


class IUnionFind(val size: Int) {

  private case class Node(var parent: Option[Int], var treeSize: Int)

  private val nodes = Array.fill[Node](size)(Node(None, treeSize = 1))

  def union(t1: Int, t2: Int): IUnionFind = {
    if (t1 == t2) return this

    val root1 = root(t1)
    val root2 = root(t2)
    if (root1 == root2) return this

    val node1 = nodes(root1)
    val node2 = nodes(root2)

    if (node1.treeSize < node2.treeSize) {
      node1.parent = Some(t2)
      node2.treeSize += node1.treeSize
    } else {
      node2.parent = Some(t1)
      node1.treeSize += node2.treeSize
    }
    this
  }

  def connected(t1: Int, t2: Int): Boolean = t1 == t2 || root(t1) == root(t2)

  def root(t: Int): Int = nodes(t).parent match {
    case None => t
    case Some(p) =>
      nodes(t).parent = Some(root(p))
      nodes(t).parent.get
  }
}


object Main {
  def solve(sc: => Scanner): Unit = {
    val h, w = sc.nextInt()
    println(Array.fill(h)(sc.next().scanLeft(-1)((a, b) => if (b == 'c') 0 else if (a == -1) -1 else a + 1).tail.mkString(" ")).mkString("\n"))
  }

  def getPermutation(begin: Long = 0): Stream[Long] =
    Stream.cons(begin, getPermutation(begin + 1))

  def calc(A: Array[Long]): Array[String] = {
    if (A.length == 0) Array.fill(0)("")
    else {
      val last = A.zipWithIndex.map(x => (x._1 - x._2, x._1)).takeWhile(x => x._1 == A.head).last._2
      if (last == A.head) "%d".format(A.head) +: calc(A.zipWithIndex.map(x => (x._1 - x._2, x._1)).dropWhile(x => x._1 == A.head).map(x => x._2))
      else "%d-%d".format(A.head, last) +: calc(A.zipWithIndex.map(x => (x._1 - x._2, x._1)).dropWhile(x => x._1 == A.head).map(x => x._2))
    }
  }

  var memo: Map[(Long, Long), Long] = Map[(Long, Long), Long]()

  def recursive(xyz: Array[(Long, Long, Long)], M: Long): Long = {
    if (xyz.isEmpty) M else {
      val head = xyz.head
      if (head._1 == 0) {
        if (head._2 == M)
          recursive(xyz.tail, head._3)
        else if (head._3 == M)
          recursive(xyz.tail, head._2)
        else
          recursive(xyz.tail, M)
      } else {
        if (head._2 == M)
          recursive(xyz.tail, head._3)
        else
          recursive(xyz.tail, M)
      }
    }
  }

  def recursive2(X: Set[Long], Y: Stream[Long]): Long = if (X.contains(Y.head)) X.size else recursive2(X + Y.head, Y.tail)

  def check(s: String): Boolean = {
    s.isEmpty ||
      s.startsWith("dream") && check(s.drop(5)) ||
      s.startsWith("dreamer") && check(s.drop(7)) ||
      s.startsWith("erase") && check(s.drop(5)) ||
      s.startsWith("eraser") && check(s.drop(6))
  }

  def shift(n: Long): Long = {
    if (n == 0) 0
    else if (n == 1) 1
    else shift(n - 1) << 1
  }

  def unShift(n: Long): Long = {
    if (n == 0) 0
    else unShift(n >> 1) + 1
  }

  def gcd(i: Long, j: Long): Long = {
    if (i < j) gcd(j, i)
    else if (j == 0) i
    else gcd(j, i % j)
  }

  def primeFactors(i: Long): List[Long] = primeFactors_(i, 1).sorted


  def primeFactors_(i: Long, j: Long): List[Long] = {
    if (j * j > i) List.empty else if (i % j == 0) primeFactors_(i, j + 1) ++ List[Long](j, i / j) else primeFactors_(i, j + 1)
  }

  def main(args: Array[String]): Unit = {
    val sc: Scanner = new Scanner(System.in)
    solve(sc)
  }
}

object Util {
  def getPermutation(begin: Long = 0): Stream[Long] =
    Stream.cons(begin, getPermutation(begin + 1))

  def getPrimeList: Stream[Long] =
    getPrimeListRecursive(getPermutation(begin = 2))

  private def getPrimeListRecursive(A: Stream[Long]): Stream[Long] =
    Stream.cons(A.head, getPrimeListRecursive(A.tail.filter(_ % A.head != 0)))

  def fib(a: Long = 0, b: Long = 1, mod: Long = Long.MaxValue): Stream[Long] = a #:: fib(b % mod, (a + b) % mod, mod)
}

object ArabicRoman {

  type =?>[A, B] = PartialFunction[A, B]

  val codeTable = List(
    (1000, "M"), (900, "CM"), (500, "D"), (400, "CD"), (100, "C"),
    (90, "XC"), (50, "L"), (40, "XL"), (10, "X"), (9, "IX"), (5, "V"), (4, "IV"), (1, "I"))

  val arabicToRoman: Int =?> String = {
    case src if src >= 1 && src <= 3999 =>

      def convert(left: Int, cont: String = "", code: List[(Int, String)] = codeTable): String = {
        val (unitVal, unitChar) = code.head
        left - unitVal match {
          case n if n == 0 => cont + unitChar
          case n if n > 0 => convert(n, cont + unitChar, code)
          case _ => convert(left, cont, code.tail)
        }
      }

      convert(src)
  }

  val romanToArabic: String =?> Int = {
    case src if Option(src).exists { s => {
      s.nonEmpty && """[^MDCLXVI]""".r.findFirstMatchIn(s.toUpperCase).isEmpty
    }
    } =>

      def convert(left: String, cont: Int = 0, code: List[(Int, String)] = codeTable): Int = {
        val (unitVal, unitChar) = code.head
        left.splitAt(unitChar.length) match {
          case ("", _) => cont
          case (`unitChar`, tail) => convert(tail, cont + unitVal, code)
          case _ => convert(left, cont, code.tail)
        }
      }

      convert(src.toUpperCase())
  }
}