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Language: Probability One
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:
- Ask your friend to compute n
_{1}= 3 * n_{0}and to tell you if n_{1}is even or odd. - 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. - Now ask your friend to calculate n
_{3}= 3 * n_{2}. - 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.) - 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}.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. Sample Input 37 38 0 Sample Output 1. odd 18 2. even 19 Source |

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