
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
A square pattern consists of 10 black and 26 white square tiles. Extend this pattern by attaching two borders of black tiles all around the square. Find the ratio of black tiles to white tiles in the extended pattern.

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