
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 numbered 1 to 63 has its pages renumbered in reverse, from 63 to 1. For how many pages do the new page number and old page number share the same units digit?

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