
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 large square is divided into 36 smaller squares. A shaded area is created by joining four smaller squares along one of the diagonals of the large square. What is the ratio of the area of the shaded region to the area of the large square?

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