
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
Two heaters are alternately connected to the same direct current source. With the first heater, the water in the pot boiled in $t_{1}=3$ minutes. With the second heater, the same water, taken at the same initial temperature, boiled in $t_{2}=6$ minutes. How long would it take for the water to boil if the heaters are connected in parallel to each other? Ignore the heat dissipation into the surrounding environment.

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