
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
There are two candles of different compositions but equal lengths. One can burn out in 3 hours, and the other in 4 hours. It is required that by 4 o'clock in the afternoon, the remaining part of one candle is exactly twice the remaining part of the other. The question is, when should these two candles be lit?

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