
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
In the xy-plane, calculate the length of the shortest path from (0,0) to (8,15) that does not go inside the circle (x-4)^2+(y-7)^2= 16 and stays above the line y = x.

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