
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
In a cabin, there are several island residents gathered, some belonging to the Ah tribe and others to the Uh tribe. Residents of the Ah tribe always tell the truth, and residents of the Uh tribe always lie. One resident stated: "There are no more than 16 of us in the cabin," and then added: "We are all from the Uh tribe." Another resident said: "There are no more than 17 of us in the cabin," and then noted: "Some of us are from the Ah tribe." The third one said: "There are five of us in the cabin," and, looking around, observed: "There are at least three residents from the Uh tribe among us." How many residents in the cabin belong to the Ah tribe?

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