
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

At the moment when the first airplane took off from Hallelujah City to San Pedro, the second airplane departed from San Pedro to Hallelujah City. The planes fly at different altitudes with constant speeds, and the first one flies faster than the second. They first meet 437 km from San Pedro. Then, one after another, they land at their respective destinations to refuel, disembark passengers, and take on new ones. After half an hour, they set off on their return journey at the same speed. The second time, the planes meet 237 km from Hallelujah City. What is the distance between these two cities?

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