
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
A telephone company decided to streamline the procedure for issuing phone numbers in a new neighborhood as follows: residents of even-numbered apartments are to receive seven-digit numbers consisting only of even digits, while residents of odd-numbered apartments are to receive seven-digit numbers consisting only of odd digits. How many possibilities exist for forming seven-digit numbers: a) only with even digits, not starting with 0, b) only with odd digits, c) which type of number (even or odd) will be more prevalent and by how many times?

Present the answer in LaTex format: \boxed{Your answer}
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