
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
Given the ratio of the short side of a certain rectangle to the long side is equal to the ratio of the long side to the diagonal, calculate the square of the ratio of the short side to the long side of this rectangle.

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