
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 supermarket is going to purchase chocolate candies, watermelon candies, and milk candies. It is required that the number of watermelon candies is at most 3 times the number of chocolate candies, the number of milk candies is at least 4 times the number of chocolate candies, and the total number of chocolate and watermelon candies is no less than 2020. What is the minimum number of milk candies that need to be purchased?

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