
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
In a certain first-year high school class, there are 45 students. Among them, 32 students participate in the math competition, 28 students participate in the physics competition, and there are 5 students who do not participate in either competition. How many students in this class participate in both the math and physics competitions?

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