Hard Mode: Correction Table

Mission 6: Quantum Teleportation. Part of the Quantum Courier Service, a free course from the Oxford Quantum Society.

Remember the Teleportation Console. The two classical bits that come out of the Bell measurement tell Bob exactly which correction gate to apply: 00 -> I, 01 -> X, 10 -> Z, 11 -> XZ.

The job: write solve(pairs) that takes a list of [bit, bit] pairs and returns the list of correction-gate labels, in order.