Description

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 in 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 n

₀

. Then:

1. Ask your friend to compute n₁ = 3 * n₀ 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 = 3 * n₂.


4. Ask your friend to tell 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 = 2 * n₄ if n₁ was even, or n₀ = 2 * n₄ + 1 otherwise.

Here’s an example that you can follow: If n₀

= 37, then n

₁

= 111 which is odd. Now we can calculate n

₂

= 56, n

₃

= 168, and n

₄

= 18, which is what your friend will tell you. Doing the calculation 2 * n

₄

+ 1 = 37 reveals n

₀

.

Input

Your program will be tested on one or more test cases. Each test case is made of a single positive number (0 < n

₀

< 1,000,000).

The last line of the input file has a single zero (which is not part of the test cases.)

Output

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. Q is your friend’s answer to step 4.

37
38
0

1. odd 18
2. even 19

Source

anarc 2009