
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
A capacitor with capacitance \( C \) charged to a voltage \( U_0 \) is connected through a resistor with resistance \( R \) to an uncharged capacitor with capacitance \( 4C \).

1. Find the current in the circuit immediately after the connection.
2. Find the steady-state (after a long time) voltage on the capacitor with capacitance \( C \).
3. Determine the amount of heat generated in the circuit after the connection.

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