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 n
1 = 3 * n
0 and to tell you if n1 is even or odd.
2. If n
1 is even, ask your friend to compute n
2 = n
1/2. If, otherwise, n
1 was odd then let your friend compute n
2 = (n
1 + 1)/2.
3. Now ask your friend to calculate n
3 = 3 * n
2.
4. Ask your friend to tell tell you the result of n
4 = n
3/9. (n
4 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 n
0 = 2 * n
4 if n
1 was even, or n
0 = 2 * n
4 + 1 otherwise.
Here’s an example that you can follow: If n
0 = 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.
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.)
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.
Note: There is a blank space before B.