Howto Design an infallible algorithm that records errors

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A quick note first: The "howto" does not mean I present a solution here, but rather that I am searching for a good solution. With that out of the way, let me explain what I want to do. I would like to have an algorithm that always succeeds and produces some kind of result. And I want to simultaneously output any kind of error that happens while running that algorithm. I can quickly think about two…

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