Freaks City

Core ConceptsBefore defining a linear basis, it is essential to understand the following terms regarding bitwise XOR operations on integer sets:XOR SumFor a given set of unsigned integers Z, the XOR sum is the cumulative XOR of all its elements: Z1 ⊕ Z2 ⊕ ... ⊕ Zn.SpanThe span of a set Z, denoted as span(Z), represents the set ...

Construction AlgorithmThe Linear Basis structure maintains a set of linearly independent vectors to solve problems involving the XOR operation. To insert a value into the basis, we process the bits from the most significant bit (MSB) to the least significant bit (LSB).Let basis[] be the array storing the basis elements, initialized to 0. For an ...