
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
Natural numbers from 1 to 100 are written one per card. Vasya creates sets of three cards such that in each set one of the numbers is equal to the product of the other two. What is the maximum number of such sets that Vasya could make? (The same card cannot be used in two sets.)

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