
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
In a 5x5 grid square (each grid square side is 1 unit), a shaded triangle is formed by connecting points at coordinates (1,1), (1,4), and (4,4). What is the ratio of the area of the shaded triangle to the area of the large square?

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