
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
Two robbers are dividing a bag of gold coins as follows: 1 for you, 2 for me, 3 for you, 4 for me, 5 for you, and so on, as long as there are coins left. The remaining coins at the end go to the next robber in the sequence. Which robber ends up better off?

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