Union-find with parity (online bipartite check)

Also called Support parity of path length / bipartite check online.

A disjoint set union variant that stores each node's parity relative to its root, letting edges be added online while checking bipartiteness.

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The build computes these levels from the evidence in the repository. Each row says what the next level needs. Read what the levels mean.

Ladder	Level	What the next level needs
Human proof	H0 no proof	add a proof in proofs/ (06.5)
Lean	L0 no Lean part	name a Lean module in the lean field (07)
Visual	V0 none	add viz/scene.ts or a figure (10)
Writing	W0 stub	one source with a locator