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To see that the implementation of check is correct, we need an inductive proof. Give that proof. Show that configuration (xs,ys,zs) with largest disk n

To see that the implementation of check is correct, we need an inductive proof. Give that proof.

Show that configuration (xs,ys,zs) with largest disk n is correct iff it holds that every disk m is either on top of a disk k with k m odd, or at the bottom of the source or destination peg, with n m even, or at the bottom of the auxiliary peg, with n k odd.

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