
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
In a rectangle, a broken line is drawn where adjacent segments are perpendicular and equal to the shorter side of the rectangle. Find the ratio of the sides of the rectangle.

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