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How to remove duplicate nodes from generated path and segments inbetween?

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I really need help on this. Been at it for a week.
I have a randomly generated path between nodes 1 to 25.
Initial generation: 1 6 7 2 1 6 7 8 9 4 3 2 1 6 7 12 11 16 21 22 23 24 19 20 25
I want to remove all repeated segments and nodes so based on this, the final path I want is:
(1, 6, 7, 12, 11, 16, 21, 22, 23, 24, 19, 20, 25)
How should I do this? Pls help.
This is merely a sample. I need to make the code be able to sort through a path with 500 elements or so. :( Pls help. I'm desperate.

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