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I wonder where "Smart Contracts" are actually running: Are they running on every node in the network? I rather doubt this, given the costs for running the contrat.

If my assumption is correct and the "Smart Contract" is only running on one single machine: How can the network ensure that the output of this Smart Contract is correct? Am I supposed to trust the machine that is running the Smart Contract?

Thanks for a quick reply.

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Yes, they run on every node in the network.

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