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By giving the job to more than one neuron.
One neuron marks the small, pale safe corner. A second marks the large, dark safe corner.
Their answers become inputs to a final neuron. If either earlier neuron found a safe region, the final answer is "safe."
We have seen this pattern before. A switch did one tiny thing. Connected switches became gates, and connected gates became circuits.
Neurons follow the same pattern. Each makes one simple division. Connected together, they can make a decision no neuron could make alone.
Connect neurons this way and the result is a neural network.