
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
Omar marks a sequence of 12 points on a straight line beginning with a point \(O\), followed by a point \(P\) with \(OP = 1\). He chooses the points so that each point is the midpoint of the two immediately following points. For example, \(O\) is the midpoint of \(PQ\), where \(Q\) is the third point he marks. What is the distance between the first point \(O\) and the 12th point \(Z\)?

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