
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
100 thimbles are arranged in a circle. A coin is hidden under one of them. In one move, you are allowed to flip four thimbles and check if the coin is under one of them. After this, they are returned to their original position, and the coin moves to one of the neighboring thimbles. What is the minimum number of moves required to guarantee finding the coin?

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