문제1268--Probability One

### 1268: Probability One

실행시간 제한: 10 Sec  메모리사용 제한: 128 MB
제출: 29  통과: 16
[제출] [채점기록] [묻고답하기]

#### 문제 설명

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 n0.

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 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 n1 = 111 which is odd. Now we can calculate n2 = 56n3 = 168, and n4 = 18, which is what your friend will tell you. Doing the calculation x n4 + 1 = 37 reveals n0.

#### 입력 설명

Your program will be tested on one or more test cases. Each test case is made 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.)

#### 출력 설명

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.

#### 입력 예시 Copy

37
38
0


#### 출력 예시 Copy

1. odd 18
2. even 19`