
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
On Valentine's Day, each male student in the school gave a valentine to each female student. It turned out that the number of valentines was greater than the total number of students by 16. How many valentines were given?

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