
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
Anna writes a sequence of 0s and 1s on the board. Anna notices that in every sequence of 200 consecutive digits written on the board, there are as many 0s as there are 1s. She also notices that in every sequence of 202 consecutive digits written on the board, the number of 0s and 1s is not equal. What is the maximum number of digits that Anna could have written on the board?

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