
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
The presented circuit consists of identical resistors. If point $A$ is connected to point $C$, and point $B$ is connected to point $D$, the resistance of the circuit changes by 10 ohms. Determine the resistance of one resistor. Zero-resistance wires were used to connect the points.

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