SM Training Camp Notes (2024.11.15 ~ 2024.11.29)

DAY0 (2024.11.15) Finally arriving at the camp. T2 GYM104787M First, we define a replica connected component as a connected component formed by traversing only nodes with index greater than n. It's not hard to observe that a replica connected component (green nodes) connects to several leaves with index less than n, and together with the origin ...

Posted on Fri, 10 Jul 2026 17:44:56 +0000 by raffael3d

XOR Linear Basis

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 ...

Posted on Sat, 30 May 2026 00:04:52 +0000 by NeoPuma

Linear Basis Implementation for XOR Operations

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 ...

Posted on Thu, 07 May 2026 07:02:32 +0000 by afrancis