
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, each with a side length of 2 units. A shaded region is formed by connecting the midpoint of the top side of the second square from the left in the second row to the midpoint of the right side of the third square from the top in the second column, then to the midpoint of the bottom side of the second square from the right in the third row, and finally to the midpoint of the left side of the third square from the bottom in the third column. 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}
user