
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
Grandpa was pulling a turnip, and sequentially he was joined by Grandma, Granddaughter, Zhuchka (the dog), and the cat. They pull and pull, but they cannot pull it out! The cat called the mouse. They pull and pull, and they finally pulled the turnip out! It is known that each subsequent participant pulls one-quarter less strongly than the previous one. How many men from the village, each pulling with the same strength as Grandpa, should be invited so that, together with Grandpa and the cat, they can pull out the turnip?

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