
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
Swap the digit in the hundreds place with the digit in the units place of a three-digit number while keeping the digit in the tens place unchanged. The new number obtained is equal to the original number. How many such numbers are there? How many of these numbers are divisible by 4?

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