
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
It is known that a heated body radiates energy every second from one square meter, which is determined by the expression $w=\sigma T^{4}$, where $\sigma=5.67 \cdot 10^{-8}$ J $/(s \cdot m^{2} \cdot K^{4})$. To what temperature will a piece of wire with a length $L=50$ cm and a cross-sectional diameter $D=2$ mm heat up if a voltage $U=220$ V is applied to its ends for an extended period and a current $I=5$ A flows through the wire?

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