Help with a 2SAT? Problem

Revision en1, by MVB, 2023-12-05 00:33:07

Hello! I have been stuck on this problem for a while, here is what it asks:

"Given an array say if it is possible to choose a set of different subarrays of length 2 such that every index is taken at least once."

For example $$$[1, 2, 1, 2, 3]$$$ we can choose $$$[1,2], [2,1], [2,3]$$$ corresponding to the indices $$$[1,2], [2,3], [4,5]$$$ (indexed from $$$1$$$). The problem is this one: https://mirror.codeforces.com/gym/103999/problem/D

I have heard that this is solvable with $2$SAT?, but I have no ideea how. I have never solved a $2$SAT problem similar to this one, and I don't know what I am missing, basically I don't get how I can construct a graph such that it solves this tasks.

Any help, similar problem(s) or hints would be much appreciated thanks!

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  Rev. Lang. By When Δ Comment
en2 English MVB 2023-12-05 00:42:54 347 Tiny change: ' are equal $[1, 2], ' -> ' are equal. $[1, 2], ' (published)
en1 English MVB 2023-12-05 00:33:07 776 Initial revision (saved to drafts)