
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 Beaumont High School, there are 18 players on the basketball team. All 18 players are taking at least one of physics, chemistry, or biology. If 10 players are taking physics, 7 players are taking biology, 5 players are taking chemistry, 3 players are taking both physics and biology, 2 players are taking both biology and chemistry, and 1 player is taking both physics and chemistry, how many players are taking all three subjects?

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