
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 one-hundred-digit natural number \( N \) is composed of ones and twos, and between any two twos there is an even number of digits. It is known that \( N \) is divisible by 3. How many ones and how many twos are there in the number \( N \)?

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