
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 originally has 61 pages numbered from 1 to 61. If the pages are renumbered in reverse from 61 to 1, how many pages have the same units digit in both the old and the new numbering system?

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