
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 1-meter long strip of paper has a red dot located 0.618 meters from one end. Fold the strip such that the red dot is aligned with the fold, then mark a yellow dot at this fold point and unfold the strip. Cut the strip at the location of the red dot. Fold the segment containing the yellow dot so that the yellow dot aligns with the fold, then cut along the fold to divide the strip into three segments. What is the length, in meters, of the shortest of the four segments?

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