
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
How many of us are there?

To help you answer this question, let's say that the probability that at least two of us share the same birthday is less than $1 / 2$, which would no longer be true if one more person joined us.

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