The Kolakoski Sequence

There is a somewhat famous sequence of 1s and 2s known as the Kolakoski sequence. It begins like so:

1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, ...

See the pattern?

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