
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 kennel with 75 dogs, 18 dogs like watermelon, 58 dogs like salmon, and 10 dogs like both salmon and watermelon. Additionally, 15 dogs like chicken, with 4 dogs liking both chicken and watermelon, and 8 liking both chicken and salmon, but 2 dogs liking all three. How many dogs in the kennel will not eat any of these foods?

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