
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 100 dogs, 20 dogs like watermelon, 70 dogs like salmon, and 10 dogs like chicken. 10 dogs like both watermelon and salmon, 5 like both salmon and chicken, and 3 like both watermelon and chicken, and 2 like all three. How many dogs in the kennel will not eat either of these?

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