
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
All candies of different varieties available in the warehouse are sorted into $n$ boxes, each box priced at 1, 2, ..., $n$. 

a) Which boxes should be bought when $n=10$ and $k=3$?

b) The same question for any natural numbers $n \geq k$.

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