
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 a 5x5 grid of smaller squares. Two diagonal lines run from the top left to the bottom right corner of the large square and from the bottom left to the top right corner of the middle square in the grid. A shaded region is formed that looks like a smaller square. What is the ratio of the area of the shaded square to the area of the large square?

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