Programming contests

ECN selejtező programozó csapatverseny, 2012. május 6.

May 6, 2012, 10:10 AM – May 6, 2012, 3:10 PM

Probability One

Number guessing is a popular game between elementary school kids. Teachers encourage pupils to play the game as it enhances their arithmetic skills, logical thinking, and following-up simple procedures. We think that, most probably, you too will master it in a few minutes. Here's one example of how you too can play this game: Ask a friend to think of a number, let's call it n0.

Then:

  1. Ask your friend to compute n1 = 3n0 and to tell you if n1 is even or odd.
  2. If n1 is even, ask your friend to compute n2 = n1 / 2. If, otherwise, n1 was odd, then let your friend compute n2 = (n1 + 1) / 2.
  3. Now ask your friend to calculate n3 = 3n2.
  4. Ask your friend to tell you the result of n4 = n3 / 9. (n4 is the quotient of the division operation. In computer lingo, “/” is the integer division operator.)
  5. Now you can simply reveal the original number by calculating n0 = 2n4 if n1 was even, or n0 = 2n4 + 1 otherwise.

Here's an example that you can follow: If n0 = 37, then n1 = 111 which is odd. Now we can calculate n2 = 56, n3 = 168, and n4 = 18, which is what your friend will tell you. Doing the calculation 2n4 + 1 = 37 reveals n0.

Input Specification

Your program will be tested on one or more test cases. Each test case is made up of a single positive number (0 < n0 < 1 000 000). The last line of the input file has a single zero (which is not part of the test cases.)

Output Specification

For each test case, print the following line:

k. B Q

Where k is the test case number (starting at one), B is either “even” or “odd” (without the quotes) depending on your friend's answer in step 1, and Q is your friend's answer to step 4.

Sample Input

  1. 37
  2. 38
  3. 0
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Output for Sample Input

  1. 1. odd 18
  2. 2. even 19
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University of Debrecen; Faculty of Informatics; v. 09/30/2024