
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
On the attraction "Merry parking", the auto has only two position* of a steering wheel: "right", and "strongly right". So the auto can move along an arc with radius  $r_1$  or  $r_2$ . The auto started from a point  $A$  to the Nord, it covered the distance  $\ell$  and rotated to the angle  $a < 2\pi$ . Find the locus of its possible endpoints.

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