
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
There is a rope that is first folded in half as shown in the left diagram, and a mark (1) is placed at the fold. The rope is then folded in half again as shown in the central diagram, and marks (2) and (3) are placed at the folds. For the third time, the rope is folded in half as shown in the right diagram. If the distance between points (1) and (3) in the right diagram is 30 cm, what is the total length of the rope? (Assuming no gaps between segments, and ignoring rope thickness and losses at bends.)

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