
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
An electric kettle heats water from room temperature $T_{0}=20^{\circ} \mathrm{C}$ to a temperature of $T_{m}=100^{\circ} \mathrm{C}$ in $t=10$ minutes. How long will it take for all the water to boil away, $t_{1}$, if the kettle is not turned off and the automatic shut-off system is malfunctioning? The specific heat capacity of water is $c=4200$ J/kg·K, and the specific heat of vaporization of water is $L=2.3$ MJ/kg. Round the answer to the nearest whole number of minutes.

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