
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
Bobby the Beetle starts at the coordinate $(10, -10)$ facing north. He moves 2 units, then turns 90° left. Next, he moves 3 units and turns 90° left. Bobby continues this process, but instead of increasing his travel distance by 1 after each move, he alternates between adding 2 units and 1 unit to his travel distance. Calculate Bobby's position after the 100th left turn.

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