
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
You have a certain number of gold coins that you planned to distribute among 13 friends. After dividing your gold coins into 13 equal piles, it turns out that 3 people would end up receiving one extra gold coin each. You have less than 110 gold coins. What is the largest number of gold coins you could have for this distribution to be possible?

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