
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. Attach a border of black tiles around three sides of the square while leaving one side unaltered. What is the ratio of black tiles to white tiles in the extended pattern?
A) $\frac{10}{26}$
B) $\frac{30}{26}$
C) $\frac{15}{13}$
D) $\frac{36}{30}$
E) $\frac{26}{10}$

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