
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
Consider a large square with a side length of 50 units. Inside this square, it's divided into 25 smaller squares (5x5 grid). A shaded rectangle spans two rows vertically and three columns horizontally. What is the ratio of the area of the shaded rectangle to the area of the large square?

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