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          TopCoder Prerequisites解法

          Posted on 2011-10-25 13:28 小明 閱讀(1828) 評論(3)  編輯  收藏 所屬分類: 數據結構和算法
          原題:
          http://community.topcoder.com/stat?c=problem_statement&pm=164&rd=50

          Class Name: Prerequisites

          Mathod Name: orderClasses

          Parameters: String[]

          Returns: String[]

           

          You are a student at a college with the most unbelievably complex prerequisite

          structure ever. To help you schedule your classes, you decided to put together

          a program that returns the order in which the classes should be taken. 

           

          Implement a class Prerequisites which contains a method orderClasses. The

          method takes a String[] that contains the classes you must take and returns a

          String[] of classes in the order the classes should be taken so that all

          prerequisites are met.

           

          String[] elements will be of the form (and TopCoder will ensure this):

          "CLASS: PRE1 PRE2 ..." where PRE1 and PRE2 are prerequisites of CLASS. CLASS,

          PRE1, PRE2, ... consist of a department name (3 or 4 capital letters, A-Z

          inclusive) followed by a class number (an integer between 100 and 999,

          inclusive). The department name should be immediately followed by the class

          number with no additional characters, numbers or spaces (i.e. MATH217). It is

          not necessary for a class to have prerequisites. In such a case, the colon is

          the last character in the String. 

           

          You can only take one class at a time, therefore, use the following rules to

          determine which class to take :

          1) Any prerequisite class(es) listed for a class must be taken before the class

          can be taken.

          2) If multiple classes can be taken at the same time, you take the one with the

          lowest number first, regardless of department.

          3) If multiple classes with the same number can be taken at the same time, you

          take the department name which comes first in alphabetical order. 

          4) If the inputted course schedule has errors, return a String[] of length 0.

          There is an error if it is impossible to return the classes in an order such

          that all prerequisites are met, or if a prerequisite is a course that does not

          have its own entry in the inputted String[].

           

          Examples of valid input Strings are:

          "CSE111: CSE110 MATH101"

          "CSE110:"

           

          Examples of invalid input Strings are:

          "CS117:" (department name must consist of 3 - 4 capital letters, inclusive)

          "cs117:" (department name must consist of 3 - 4 capital letters, inclusive)

          "CS9E11:" (department name must be letters only)

          "CSE110: " (no trailing spaces allowed)

          "CSE110: CSE101 " (no trailing spaces allowed)

          "MATH211: MAM2222" (class number to large)

          "MATH211: MAM22" (class number to small)

          "ENGIN517: MATH211" (department name to large)

           

          Here is the method signature (be sure your method is public):

          String[] orderClasses(String[] classSchedule);

           

          TopCoder will make sure classSchedule contains between 1 and 20 Strings,

          inclusive, all of the form above. The Strings will have between 1 and 50

          characters, inclusive. TopCoder will check that the syntax of the Strings are

          correct: The Strings will contain a valid class name, followed by a colon,

          possibly followed by a series of unique prerequisite classes separated by

          single spaces. Also, TopCoder will ensure that each class has at most one

          entry in the String[].

           

          Examples:

          If classSchedule={

          "CSE121: CSE110",

          "CSE110:",

          "MATH122:",

          }

          The method should return: {"CSE110","CSE121","MATH122"}

           

          If classSchedule={

          "ENGL111: ENGL110",

          "ENGL110: ENGL111"

          }

          The method should return: {}

           

          If classSchedule=[

          "ENGL111: ENGL110"

          }

          The method should return: {}

           

          If classSchedule={

          "CSE258: CSE244 CSE243 INTR100"

          "CSE221: CSE254 INTR100"

          "CSE254: CSE111 MATH210 INTR100"

          "CSE244: CSE243 MATH210 INTR100"

          "MATH210: INTR100"

          "CSE101: INTR100"

          "CSE111: INTR100"

          "ECE201: CSE111 INTR100"

          "ECE111: INTR100"

          "CSE243: CSE254"

          "INTR100:"

          }

          The method should return:

          {"INTR100","CSE101","CSE111","ECE111","ECE201","MATH210","CSE254","CSE221","CSE2

          43","CSE244","CSE258"}

           

           

          Definition

                    

          Class:      Prerequisites

          Method:   orderClasses

          Parameters:     String[]

          Returns: String[]

          Method signature:   String[] orderClasses(String[] param0)

          (be sure your method is public)


          ------------------------------------------------------------我的解法如下----------------------------------------

          想法很簡單,這道題本質上是一道排序問題,我們只需要定義好排序的邏輯,然后應用快排就可以了。


          import java.util.ArrayList;
          import java.util.Arrays;
          import java.util.HashMap;
          import java.util.List;
          import java.util.Map;

          public class Prerequisites {
              
          private static final String[] EMPTY = {};
              Map
          <String,Klass> classes = new HashMap<String,Klass>();
              
              
          static class Klass implements Comparable<Klass>{
                  String name;
                  
          int number;
                  String dept;
                  List
          <Klass> pres = new ArrayList<Klass>();
                  
          boolean exist = false;
                  
                  Klass(String name){
                      
          this.name = name;
                      
          int len = name.length();
                      
          this.number = Integer.parseInt(name.substring(len-3));
                      
          this.dept =name.substring(0,len-3);
                  }
                  
                  
          private boolean isPre(Klass k){
                      
          if(k==thisreturn false;
                      
                      
          for(Klass p:this.pres){
                          
          if(k == p || p.isPre(k)) return true;
                      }
                      
          return false;
                  }

                  @Override
                  
          public int compareTo(Klass that) {
                      
          boolean pre = this.isPre(that);
                      
          boolean sub = that.isPre(this);
                      
                      
          if(pre && sub){
                          
          throw new RuntimeException("circle detected");
                      }
                      
          else if(pre){
                          
          return 1;
                      }
                      
          else if(sub){
                          
          return -1;
                      }
                      
          if(this.number!=that.number) return this.number-that.number;
                      
          return this.dept.compareTo(that.dept);
                  }
              }
              
              
          private Klass getClass(String name){
                  Klass k 
          = classes.get(name);
                  
          if(k==null){
                      k 
          = new Klass(name);
                      classes.put(name, k);
                  }
                  
          return k;
              }
              
              
          public String[] orderClasses(String[] classSchedule){
                  classes.clear();
                  //parse the input
                  
          for(String s:classSchedule){
                      
          int idx = s.indexOf(":");
                      String name 
          = s.substring(0,idx);
                      Klass k 
          = getClass(name);
                      k.exist 
          = true;
                      
          if(idx!=s.length()-1){
                          String[] pres 
          = s.substring(idx+1).split(" ");
                          
          for(String pre:pres){
                              
          if(pre.length()>0){
                                  Klass p 
          = getClass(pre);
                                  k.pres.add(p);
                              }
                          }
                      }
                  }
                  
                  Klass [] sortedClasses 
          =  (Klass[]) classes.values().toArray(new Klass[0]);
                  
          for(Klass k:sortedClasses){
                      
          if(!k.exist){
                          
          return EMPTY;
                      }
                  }
                  
          try {
                      Arrays.sort(sortedClasses);
                  } 
          catch (Exception e) {
                      
          return EMPTY;
                  }
                  String[] result 
          = new String[sortedClasses.length];
                  
          int c = 0;
                  
          for(Klass k:sortedClasses){
                      result[c
          ++= k.name;
                  }
                  
          return result;
              }
          }



          評論

          # re: TopCoder Prerequisites解法  回復  更多評論   

          2011-10-26 08:43 by tb
          沒有注釋 看起來有點暈 呵呵

          # re: TopCoder Prerequisites解法[未登錄]  回復  更多評論   

          2012-06-13 08:46 by 小光
          學到很多,謝謝

          # re: TopCoder Prerequisites解法[未登錄]  回復  更多評論   

          2013-04-16 19:00 by Harry
          scala version: for fun

          object Prerequest {
          case class Klass(dep: String, num: Int)
          def sort(a: Klass, b: Klass) = {
          if (a.num < b.num) true
          else if (a.dep < b.dep) true
          else false
          }
          def orderClasses(m: Map[Klass, List[Klass]]): List[Klass] = {
          def findPre(l: List[Klass]): List[Klass] = {
          l match {
          case Nil => Nil
          case s =>
          val u = for (c <- s) yield {
          val pre = m(c)
          findPre(pre) ::: List(c)
          }
          u.flatten
          }
          }
          try {
          val keys = m.keys.toList.sortWith((a, b) => sort(a, b))
          val s = keys.map {
          case k =>
          val sorted = m(k).sortWith((a, b) => sort(a, b))
          findPre(sorted) ::: List(k)
          }
          s.flatten.toList.distinct
          } catch {
          case e: Throwable => Nil
          }
          }
          def main(args: Array[String]): Unit = {
          val CSE258 = Klass("CSE", 258)
          val CSE244 = Klass("CSE", 244)
          val CSE243 = Klass("CSE", 243)
          val INTR100 = Klass("INTR", 100)
          val CSE221 = Klass("CSE", 221)
          val CSE254 = Klass("CSE", 254)
          val CSE111 = Klass("CSE", 111)
          val MATH210 = Klass("MATH", 210)
          val CSE101 = Klass("CSE", 101)
          val ECE201 = Klass("ECE", 201)
          val ECE111 = Klass("ECE", 111)

          val p1 =
          Map(CSE258 -> List(CSE244, CSE243, INTR100)) ++
          Map(CSE221 -> List(CSE254, INTR100)) ++
          Map(CSE254 -> List(CSE111, MATH210, INTR100)) ++
          Map(CSE244 -> List(CSE243, MATH210, INTR100)) ++
          Map(MATH210 -> List(INTR100)) ++
          Map(CSE101 -> List(INTR100)) ++
          Map(CSE111 -> List(INTR100)) ++
          Map(ECE201 -> List(CSE111, INTR100)) ++
          Map(ECE111 -> List(INTR100)) ++
          Map(CSE243 -> List(CSE254)) ++
          Map(INTR100 -> Nil)
          println(orderClasses(p1))
          }
          }

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