
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
A stack of dominoes. Suppose \( n \) smooth dominoes, each measuring \( 1 \times 2 \times 0.25 \) inches, are placed flat on top of each other. What is the maximum horizontal distance that the topmost domino can be moved relative to the bottommost one, so that our stack of dominoes does not collapse?

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