
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
Given that each of the $45$ students in the ninth grade at Maple High School has at least one type of pet: a dog, a cat, or both, with twenty-five students having a dog and $34$ students having a cat, determine the number of students who have both a dog and a cat.

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