
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
100 g of ice at a temperature $t_{n}=-5^{\circ} \mathrm{C}$ is mixed with water at a temperature $t_{B}=10^{\circ} \mathrm{C}$. It is known that the final temperature in the vessel is $t=0^{\circ} \mathrm{C}$. Determine the mass of the added water. The specific heat capacity of water is $c_{s}=4200 \mathrm{J} / \mathrm{kg} \cdot{ }^{\circ} \mathrm{C}$, the specific heat capacity of ice is $c_{n}=2100 \mathrm{J} / \mathrm{kg} \cdot{ }^{\circ} \mathrm{C}$, and the specific latent heat of fusion of ice is $\lambda=3.3 \times 10^{5}$ $\mathrm{J} / \mathrm{kg}$.

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