
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 containing 63 pages, numbered 1 to 63, has each page renumbered in reverse, from 63 to 1. Determine how many pages have the same units digit for both the old page number and the new page number.

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