
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
We rolled ten fair six-sided dice at once, and the product of the numbers rolled was 7776. We know that the highest number rolled appeared only once. What is the sum of the numbers rolled?

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