
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 number of gold coins that you were going to distribute equally among your 13 best friends. However, after dividing your gold coins into 13 equal piles, you realize that if you give away all your gold coins, 3 people will receive an extra gold coin. You have less than 100 gold coins. What is the largest number of gold coins you could have to cause this to happen?

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