  The paper is Part III of our ongoing project to study a case of Crepant
Transformation Conjecture: K-equivalence Conjecture for ordinary flops. In this
paper we prove the invariance of quantum rings for general ordinary flops,
whose local models are certain non-split toric bundles over arbitrary smooth
base. An essential ingredient in the proof is a quantum splitting principle,
which reduces a statement in Gromov--Witten theory on non-split bundles to the
case of split bundles.

Algebraic Geometry