
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
At Mallard High School there are three intermural sports leagues: football, basketball, and baseball.  There are 427 students participating in these sports: 128 play on football teams, 291 play on basketball teams, and 318 play on baseball teams.  If exactly 36 students participate in all three of the sports, how many students participate in exactly two of the sports?

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