
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 sixteen unit squares, some of which have been divided into either half diagonally or into quarters to form smaller triangles. Determine the fraction of the square quilt that is shaded. The shaded parts are arranged as follows:
- In the first row, two squares are each divided into two triangles, shading one triangle per square.
- In the second row, one square is divided into quarters, shading two of the quarters.
- In the third row, there are no divisions or shadings.
- In the fourth row, one square is divided into half diagonally, with one half shaded.

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