
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
Lele's family raises some chickens and ducks. Grabbing any 6 of them, there are at least 2 that are not ducks; Grabbing any 9 of them, there is at least 1 that is a duck. What is the maximum number of chickens and ducks in Lele's family?

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