
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
Given that the repeating unit is a $4 \times 4$ grid with the first and third columns completely made of dark tiles, and the third row half dark and half light tiles, arranged alternately, find the fraction of the floor made up of darker tiles.

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