
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
There are 41 apples in a basket: 10 green, 13 yellow, and 18 red. Alyona is sequentially taking one apple at a time from the basket. If at any point she has taken fewer green apples than yellow apples, and fewer yellow apples than red apples, she will stop taking more apples from the basket.

(a) What is the largest number of yellow apples that Alyona can take from the basket?

(b) What is the largest number of apples that Alyona can take from the basket?

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