
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
Given that Larry the lemango ate 364 mangos over a 6-day period from June 1 to June 6, during which each day he ate double the mangos compared to the previous day, calculate the number of mangos Larry ate on June 6.

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