This is the problem I'm trying to solve: 2115D - Gellyfish and Forget-Me-Not. I've read through the editorial but couldn't get all that definition in linear algebra for binary numbers. Can anyone please help me with this. I've been struggle with all the definition for binary space even with those slang its hard for me to find anything online to work with.
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https://usaco.guide/adv/xor-basis?lang=cpp
This has everything you need to know for this. Note that the problem you gave isn't entirely trivial once you know the technique.