Question about XOR basis

Правка en2, от dino_merlin, 2023-02-04 19:07:34

After havin read this great blogpost https://codeforces.net/blog/entry/68953. I was left a bit confused. In a lot of the problems, it is assumed that any vector that is a linear combination of the basis can also be represented by a linear combination of the vectors from the vector space? Is this true? If so how to prove it. If not, why does the solution of 2a work?

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en2 Английский dino_merlin 2023-02-04 19:07:34 0 (published)
en1 Английский dino_merlin 2023-02-04 19:07:12 393 Initial revision (saved to drafts)