
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
Hugo, Evo, and Fidel are playing Dungeons and Dragons, which requires many twenty-sided dice. Attempting to slay Evo's *vicious hobgoblin +1 of viciousness,* Hugo rolls  $25$   $20$ -sided dice, obtaining a sum of (alas!) only  $70$ . Trying to console him, Fidel notes that, given that sum, the product of the numbers was as large as possible. How many  $2$ s did Hugo roll?

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