
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
A certain flower shop plans to purchase a batch of carnations and lilies. It is known that the price of each carnation and lily is $5$ yuan and $10$ yuan, respectively. If the flower shop is preparing to purchase a total of $300$ carnations and lilies, and the number of carnations is no more than twice the number of lilies, please design the most cost-effective purchasing plan and explain the reason.

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