Problem A Math for a Birthday Present

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1 Bina Nusantara Programming Contest for High School Student (BNPC-HS) 2007 Qualification Round (Programming Task) - 11 November 2007 Problem A Math for a Birthday Present Program File Input File Output File Time Limit math.cpp math.pas math.java math.in math.out 1 second Make sure your program read input from file math.in, and write output to file math.out! John have just given his daughter, Jane, her 2 nd birthday present, a box full of rubber balls with fancy cartoon character drawn on each ball. Each ball has a unique number from 0 to 9 labeled on it. Obviously, John gave these balls not just for another fancy birthday present, but he wanted his daughter to learn about numbers. First, John took N balls from the box and gave them to his daughter to hold. And then, he would ask them back by using one of these two queries: 1. "Give me the ball with the lowest number from what you have now" (let's call it the lowest query) 2. "Give me the ball with the highest number from what you have now" (let's call it the highest query) For each ball he received from his daughter, he would put it back into the box, and then he continued his queries until there was no more ball left on Jane. Surprisingly, Jane understood and chose the correct ball every time. Now, being happy with the potential of his daughter, John wants to teach his daughter to recognize pattern. First, John starts with the lowest query, and then he moves on with the highest query, and then the lowest query again, and so on, alternatively using the queries until all balls have been put back into the box. With this query pattern (using lowest and highest alternatively), write a program to simulate what Jane will give to her father. Assume that Jane always gives the correct ball to her father and note that John always starts with the lowest query. Input Specification Input consists of several test cases. Each test case begins with an integer N (1 <= N <= 10), the

2 number of ball that Jane have at the beginning. The next line contains N integers A 1..n, (0 <= A i <= 9), denoting the label for each ball. Input is terminated when N = 0 and should not be processed. Output Specification For each case, output the sequence of balls that Jane will give to her father following the query pattern. Each number in the sequence should be separated by a single space. Sample Input Sample Output BNPC-HS Qualification Round

3 Bina Nusantara Programming Contest for High School Student (BNPC- HS) 2007 Qualification Round (Programming Task) - 11 November 2007 Problem B Square Lookup Program File Input File Output File Time Limit square.cpp square.pas square.java square.in square.out 1 second Make sure your program read input from file square.in, and write output to file square.out! Given a set S of N points in Cartesian coordinate, find the largest square that can be formed by choosing four distinct points from S. Input Specification The first line of input contains T, the number of test cases. Each case begins with an integer N (1 <= N <= 40). The next N following lines each consists of a pair of integers, the x and y coordinate of ith point of S in Cartesian coordinate respectively (-1000 <= x, y <= 1000). Output Specification For each case, output area of the largest square that can be formed by choosing four distinct points from S, rounded to two decimal points. Output "0.00" (without quote) if there are no squares can be formed. Sample Input

4 3 5 Sample Output BNPC-HS Qualification Round

5 Bina Nusantara Programming Contest for High School Student (BNPC-HS) 2007 Qualification Round (Programming Task) - 11 November 2007 Problem C Hall of Fame Program File Input File Output File Time Limit fame.cpp fame.pas fame.java fame.in fame.out 1 second Make sure your program read input from file fame.in, and write output to file fame.out! Every end of the month, BINUS holds an online contest on their website to prepare its students to be ready for ICPC (International Collegiate Programming Contest). The contest is similar to BNPC-HS, except that there is only one winner for every contest. To motivate the students, one of the coaches creates a leader board to show who won the most so far. The board will be updated at the end of each contest. Student with most wins will hold the top-ranked position. In a tie situation, the student with most wins before the last contest conducts should hold the top-ranked position. Students who hold the top-ranked position in the leader board for P consecutive month(s) will be listed in the Hall of Fame. Each student should be listed in the Hall of Fame at most once. Suppose that we know the result of every contest, write a program to find out how many students are there that would be listed in the Hall of Fame. Input Specification The first line of the input is an integer T, denoting the number of test cases will follow. Each test case begins with two integers, N (1 <= N <= 100) the number of contests that have been held from the beginning, and P (1 <= P <= 10) the number of consecutive month(s) for a student should hold top-ranked position to be listed in the Hall of Fame. The next N line, each contains a student name who won the i-th contest. Student s name will be at most 10 characters of lowercase alphabet(s). Output Specification

6 For each case, output in a single line the number of students who have been listed in the Hall of Fame. Sample Input robert robert denny robert 6 1 rudi albert joni albert joni rudi Sample Output 1 2 BNPC-HS Qualification Round

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