
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
Rabbit and Tortoise start at point $A$ and travel to a forest amusement park at the same time. The Rabbit hops 36 meters forward in 1 minute and plays at the same spot every 3 minutes. The first break lasts 0.5 minutes, the second break lasts 1 minute, the third break lasts 1.5 minutes, and the $k$-th break lasts $0.5 k$ minutes. The Tortoise, however, never stops to rest or play along the way. It is known that the Tortoise reaches the amusement park 3 minutes and 20 seconds before the Rabbit. The distance from point $A$ to the amusement park is 2640 meters. How many meters does the Tortoise crawl in 1 minute?

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