
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
The square quilt block shown is made from nine unit squares. Three of these unit squares are further divided into four equal smaller squares, and another three into two equal rectangles. What fraction of the square quilt is shaded if exactly one full vertical column of the original nine squares is shaded? The column includes both small squares and halves of the rectangles formed.

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