
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 the available candies of different types are distributed into $n$ boxes, which are priced at 1, 2, ..., $n$ units respectively. It is required to purchase $k$ of these boxes with the minimum total cost, ensuring that they contain at least $\frac{k}{h}$ of the total mass of candies. It is known that the mass of candies in each box does not exceed the mass of candies in any more expensive box.

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

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



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