
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 cowboy is 6 miles south of a river which flows due northeast. He is also 10 miles west and 9 miles north of his cabin. He wishes to water his horse at the river and return home. Determine the shortest distance he can travel to accomplish this.
A) $6 + \sqrt{441}$

B) $12 + \sqrt{457}$

C) $6 + \sqrt{457}$

D) $6 + \sqrt{425}$

E) $12 + \sqrt{441}$

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