790. Double Queue

 

The new founded Balkan Investment Group Bank (BIG-Bank) opened a new office in Bucharest, equipped with a modern computing environment provided by IBM Romania, and using modern information technologies. As usual, each client of the bank is identified by a positive integer k and, upon arriving to the bank for some services, he or she receives a positive integer priority p. One of the inventions of the young managers of the bank shocked the software engineer of the serving system. They proposed to break the tradition by sometimes calling the serving desk with the lowest priority instead of that with the highest priority. Thus, the system will receive the following types of request:

   0      The system needs to stop serving

1 k p   Add client k to the waiting list with priority p

   2      Serve the client with the highest priority and drop him or her from the waiting list

   3      Serve the client with the lowest priority and drop him or her from the waiting list

Your task is to help the software engineer of the bank by writing a program to implement the requested serving policy.

 

Input. Each line of the input contains one of the possible requests; only the last line contains the stop-request (code 0). You may assume that when there is a request to include a new client in the list (code 1), there is no other request in the list of the same client or with the same priority. An identifier k is always less than 106, and a priority p is less than 107. The client may arrive for being served multiple times, and each time may obtain a different priority.

 

Output. For each request with code 2 or 3, the program has to print, in a separate line of the standard output, the identifier of the served client. If the request arrives when the waiting list is empty, then the program prints zero (0) to the output.

 

Sample input

Sample output

2

1 20 14

1 30 3

2

1 10 99

3

2

2

0

0

20

30

10

0

 

 

SOLUTION

data structures - set

 

Algorithm analysis

The client priorities we shall keep in the set s. Then the client with the lowest priority will be at the beginning of the set, and the client with the greatest priority at the end of the set. As the priorities of different clients are different, we can establish a one-to-one correspondence between priorities and client numbers. We make this by means of an integer array client of length 10000001. If the priority of client is p, then his number will be kept in client[p].

To solve the problem it is enough to simulate the process of serving the clients.

 

Algorithm realization

Store the priorities and numbers of clients in the queue in the set of pairs s. If a customer with number k and priority p enters the service, then add a pair (p, k) to the set s.

 

set<pair<int,int> > s;

 

The main part of the program. Depending on the type of query, perform the appropriate action. Continue the loop until the customer service system stops (the code value becomes 0).

 

while(scanf("%d",&code), code)

 

Put the priority and the number of the incoming client in the set s.

 

  if (code == 1)

  {

    scanf("%d %d",&k,&p);

    s.insert(make_pair(p,k));

  } else

 

The clients highest priority is at the end of the set s.

 

  if (code == 2)

    if (s.empty()) printf("0\n"); else

    {

      iter = s.end(); iter--;

      printf("%d\n",(*iter).second);

      s.erase(iter);

  } else

 

The clients lowest priority is at the beginning of the set s.

 

   if (s.empty()) printf("0\n"); else

   {

     printf("%d\n",(*s.begin()).second);

     s.erase(s.begin());

   }

 

Algorithm realization – set of integers

The client priorities from the waiting list will be stored in the set s. Their appropriate numbers will be stored in array client. If the service receives a client with a number k and a priority p, we assign client[p] = k.

 

set<int> s;

int client[10000001];

 

The main part of the program. Depending on the type of the query, we produce the appropriate action. Continue the loop until the system of client service does not stop (until the code will not become 0).

 

while(scanf("%d",&code), code)

 

Write the client number k into the cell client[p]. Put the priority of the incoming client into the set s.

 

  if (code == 1)

  {

      scanf("%d %d",&k,&p);

      client[p] = k; s.insert(p);

  } else

 

The highest priority of the client is at the end of the set s.

 

  if (code == 2)

    if (s.empty()) printf("0\n"); else

    {

      iter = s.end(); iter--;

      printf("%d\n",client[*iter]);

      s.erase(iter);

  } else

 

The lowest priority of the client is at the beginning of the set s.

 

   if (s.empty()) printf("0\n"); else

   {

      printf("%d\n",client[*s.begin()]);

      s.erase(s.begin());

   }

 

Java realization BufferReader = 1,2sec

 

import java.util.*;

import java.io.*;

 

public class Main

{

  public static void main(String[] args)

  throws Exception

  {

    BufferedReader in =

      new BufferedReader(new InputStreamReader(System.in));

    int[] Client = new int[10000001];

    int Code;

    TreeSet<Integer> s = new TreeSet<Integer>();

    String Line;

    while(!(Line = in.readLine()).equals("0"))

    {

      StringTokenizer st = new StringTokenizer(Line);

      Code = Integer.parseInt(st.nextToken());

      if (Code == 1)

      {

        int k = Integer.parseInt(st.nextToken()),

            p = Integer.parseInt(st.nextToken());

        Client[p] = k; s.add(p);

      } else

      if (Code == 2)

      if (s.isEmpty()) System.out.println("0"); else

      {

         int LastElement = s.last();

         System.out.println(Client[LastElement]);

         s.remove(LastElement);

      } else

      if (s.isEmpty()) System.out.println("0"); else

      {

        int FirstElement = s.first();

        System.out.println(Client[FirstElement]);

        s.remove(FirstElement);

      }

    }

  }

}

 

Java realization Scanner = 1,4 sec

 

import java.util.*;

 

public class Main

{

  public static void main(String[] args)

  {

    Scanner con = new Scanner(System.in);

    int[] Client = new int[10000001];

    int Code;

    TreeSet<Integer> s = new TreeSet<Integer>();

    while((Code = con.nextInt()) != 0)

    {

      if (Code == 1)

      {

        int k = con.nextInt(), p = con.nextInt();    

        Client[p] = k; s.add(p);

      } else

      if (Code == 2)

      if (s.isEmpty()) System.out.println("0"); else

      {

         int LastElement = s.last();

         System.out.println(Client[LastElement]);

         s.remove(LastElement);

      } else

      if (s.isEmpty()) System.out.println("0"); else

      {

        int FirstElement = s.first();

        System.out.println(Client[FirstElement]);

        s.remove(FirstElement);

      }

    }

  }

}

 

Java realization FastScanner = 1 sec

 

import java.util.*;

import java.io.*;

 

class FastScanner

{

  private BufferedReader br;

  private StringTokenizer st;

 

  public FastScanner(InputStreamReader reader)

  {

    br = new BufferedReader(reader);

  }

 

  public String next()

  {

    while (st == null || !st.hasMoreTokens())

    {

      try

      {

        st = new StringTokenizer(br.readLine());

      } catch (Exception e)

      {

        e.printStackTrace();

      }

    }

    return st.nextToken();

  }

 

  public int nextInt()

  {

    return Integer.parseInt(next());

  }

 

  public double nextDouble()

  {

    return Double.parseDouble(next());

  }

 

  public void close() throws Exception

  {

    br.close();

  }

}

 

public class Main

{

  public static void main(String[] args)

  {

    FastScanner con =

      new FastScanner(new InputStreamReader(System.in));   

    int[] Client = new int[10000001];

    int Code;

    TreeSet<Integer> s = new TreeSet<Integer>();

    while((Code = con.nextInt()) != 0)

    {

      if (Code == 1)

      {

        int k = con.nextInt(), p = con.nextInt();    

        Client[p] = k; s.add(p);

      } else

      if (Code == 2)

      if (s.isEmpty()) System.out.println("0"); else

      {

         int LastElement = s.last();

         System.out.println(Client[LastElement]);

         s.remove(LastElement);

      } else

      if (s.isEmpty()) System.out.println("0"); else

      {

        int FirstElement = s.first();

        System.out.println(Client[FirstElement]);

        s.remove(FirstElement);

      }

    }

  }

}

 

Java realization – TreeMap

 

import java.util.*;

 

public class Main

{

  public static void main(String[] args)

  {

    Scanner con = new Scanner(System.in);

    TreeMap<Integer, Integer> tree = new TreeMap<Integer, Integer>();   

    while(true)

    {

      int Code = con.nextInt();

      if (Code == 0) break;

      if (Code == 1)

      {

        int k = con.nextInt();

        int p = con.nextInt();

        tree.put(p,k);

      } else

      if (Code == 2)

        if (tree.isEmpty()) System.out.println("0"); else

        {

         System.out.println(tree.lastEntry().getValue());

         tree.pollLastEntry();

      } else

      if (tree.isEmpty()) System.out.println("0"); else

      {

        System.out.println(tree.firstEntry().getValue());

        tree.pollFirstEntry();

      }

    }

    con.close();

  }

}