A waiter at a restaurant gets a group's order completely wrong. Can you turn the table to get two or more orders right?

I am excited to tell you that I just released the alpha version of my “Pydont's” book, a book that compiles all the “Pydon't” articles you can read here. You can get the book at leanpub: leanpub.com/pydonts.

A scheme of a possible configuration of the wrong orders.

Problem statement

An arbitrary number of people are people sitting down, around a round table, waiting for their orders. When the waiter brings their orders, they mix everything up and no single person is served what they ordered.

Can you always turn the table so that at least two orders are correctly aligned? You can start by trying with the example in the figure above, assuming you are not colour-blind (sorry if you are :/).

Solution

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