
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
On another island of knights, liars, and normal people, the king held opposite views and gave his daughter different paternal advice: "Dear, I don't want you to marry any knight or liar. I would like you to marry a solid, normal person with a good reputation. You should not marry a knight, because all knights are hypocrites. You should not marry a liar either, because all liars are treacherous. No, no matter what, a decent normal person would be just right for you!"

Assume you are an inhabitant of this island and a normal person. Your task is to convince the king that you are a normal person.
a) How many true statements will you need for this?

b) How many false statements will you need for the same purpose?

(In both cases, the task is to find the minimum number of statements.).

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