Drawing Book

 A teacher asks the class to open their books to a page number. A student can either start turning pages from the front of the book or from the back of the book. They always turn pages one at a time. When they open the book, page  is always on the right side:

When they flip page , they see pages  and . Each page except the last page will always be printed on both sides. The last page may only be printed on the front, given the length of the book. If the book is  pages long, and a student wants to turn to page , what is the minimum number of pages to turn? They can start at the beginning or the end of the book.

Given  and , find and print the minimum number of pages that must be turned in order to arrive at page .

Example

Using the diagram above, if the student wants to get to page , they open the book to page , flip  page and they are on the correct page. If they open the book to the last page, page , they turn  page and are at the correct page. Return .

Function Description

Complete the pageCount function in the editor below.

pageCount has the following parameter(s):

• int n: the number of pages in the book
• int p: the page number to turn to

Returns

• int: the minimum number of pages to turn

Input Format

The first line contains an integer , the number of pages in the book.
The second line contains an integer, , the page to turn to.

Constraints

Sample Input 0

6
2

Sample Output 0

1

Explanation 0

If the student starts turning from page , they only need to turn  page:

If a student starts turning from page , they need to turn  pages:

Return the minimum value, .

Sample Input 1

5
4

Sample Output 1

0

Explanation 1

If the student starts turning from page , they need to turn  pages:

If they start turning from page , they do not need to turn any pages:

Return the minimum value, .

Python 3:

#!/bin/python3

import math

import os

import random

import re

import sys

#

# Complete the 'pageCount' function below.

#

# The function is expected to return an INTEGER.

# The function accepts following parameters:

#  1. INTEGER n

#  2. INTEGER p

#

def even(no):

    if no%2==0:

        return True

    else:

        return False

def pageCount(n, p):

    # Write your code here

    no_of_page_front=p//2

    

    if(not even(p) and even(n)):

        no_of_page_back=(n-(p-1))//2

    else:

        no_of_page_back=(n-p)//2

    

    if no_of_page_front<no_of_page_back:

        return no_of_page_front

    else:

        return no_of_page_back

if __name__ == '__main__':

    fptr = open(os.environ['OUTPUT_PATH'], 'w')

    n = int(input().strip())

    p = int(input().strip())

    result = pageCount(n, p)

    fptr.write(str(result) + '\n')

    fptr.close()

Java 8:

import java.io.*;

import java.math.*;

import java.security.*;

import java.text.*;

import java.util.*;

import java.util.concurrent.*;

import java.util.function.*;

import java.util.regex.*;

import java.util.stream.*;

import static java.util.stream.Collectors.joining;

import static java.util.stream.Collectors.toList;

class Result {

    /*

     * Complete the 'pageCount' function below.

     *

     * The function is expected to return an INTEGER.

     * The function accepts following parameters:

     *  1. INTEGER n

     *  2. INTEGER p

     */

    public static boolean even(int no){

        if(no%2==0){

            return true;

        }

        else{

            return false;

        }

    }

    public static int pageCount(int n, int p) {

    // Write your code here

        int no_of_page_front=p/2;

        

        int no_of_page_back=0;

        if(!Result.even(p) && Result.even(n))

            no_of_page_back=(n-(p-1))/2;

        else

            no_of_page_back=(n-p)/2;

        

        if (no_of_page_front<no_of_page_back)

            return no_of_page_front;

        else

            return no_of_page_back;

    }

}

public class Solution {

    public static void main(String[] args) throws IOException {

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

        BufferedWriter bufferedWriter = new BufferedWriter(new FileWriter(System.getenv("OUTPUT_PATH")));

        int n = Integer.parseInt(bufferedReader.readLine().trim());

        int p = Integer.parseInt(bufferedReader.readLine().trim());

        int result = Result.pageCount(n, p);

        bufferedWriter.write(String.valueOf(result));

        bufferedWriter.newLine();

        bufferedReader.close();

        bufferedWriter.close();

    }

}

Compiler Message

Success

Input (stdin)

• 6

• 2

Expected Output

• 1