
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
1460 students were interviewed. Of these, 33 liked swimming and 36 liked soccer. Find the greatest possible number of students who neither liked swimming nor soccer.

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