
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
Water at a temperature of \( t = 0^{\circ}C \) was poured into a pot until it reached a volume of \( 2\pi \) liters, and then it was brought to a boil in 10 minutes. After this, without removing the pot from the stove, ice at a temperature of \( t = 0^{\circ}C \) was added. The water began to boil again after 15 minutes. Determine the mass of the added ice. The specific heat capacity of water is \( c_{B} = 4200 \) J / kg \(\cdot\) \(^{\circ}C \), the latent heat of fusion of ice is \( \lambda = 3.3 \times 10^{5} \) J / kg, and the density of water is \( \rho = 1000 \) kg / m\(^3\).



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