
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
In the circuit diagram shown in the image, the electromotive force (EMF) of the source is \(\varepsilon = 69 \text{ V}\), \(R_{1} = R = 10 \text{ Ω}\), \(R_{2} = 3R\), \(R_{3} = 3R\), and \(R_{4} = 4R\). The internal resistance of the source and the resistance of the ammeter can be neglected.
1) Find the current through the resistor \(R_{1}\).
2) Find the current through the ammeter.

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