
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
Several resistances are connected between terminals $A$ and $B$. Each resistance has an input and an output terminal. What is the minimum number of resistances needed and what could be their connection scheme, so that if any nine resistances fail (either a short circuit or an open circuit), the circuit still connects terminals $A$ and $B$ without causing a short circuit?

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