
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 book with 63 pages is numbered from 1 to 63. The pages are then renumbered in reverse, resulting in the last page (previously page 63) being numbered as 1, and so forth. Determine how many pages have the same units digit in both the original and the new numbering.

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