
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
13 children sat around a round table and agreed that boys would lie to girls, but tell the truth to each other, while girls would lie to boys but tell the truth to each other. One of the children said to their right neighbor: "Most of us are boys." That child then said to their right neighbor: "Most of us are girls," and the pattern continued with each child alternately stating "Most of us are boys" or "Most of us are girls" until the last child said to the first: "Most of us are boys." How many boys are at the table?

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