
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 and you decide to distribute them equally among your 13 best friends. Upon dividing the coins, you find that 3 people would receive an extra coin. You also know that you have fewer than 150 gold coins. What is the maximum number of gold coins you could have had initially to fit this scenario?

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