
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 rope of 1 meter long is cut into thirds for the first time, then another third is cut from the remaining length, and this process continues. After the sixth cut, the length of the remaining rope is ______ meters.

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