
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 farmer wants to start growing watermelons. He wants to sell at least 10,000 watermelons each year. Watermelons are grown from seeds (one seed grows into one watermelon). Each watermelon can produce 250 good seeds, which can be planted the next year, but in that case, the watermelon cannot be sold. What is the minimum number of watermelon seeds the farmer must buy initially to start growing watermelons and never have to buy seeds again?

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