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February 24, 2015 07:32
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Solving the Tower of Hanoi in Haskell
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| hanoi 0 _ _ _ = [] | |
| hanoi n a b c = hanoi (n-1) a c b ++ [(a,b)] ++ hanoi (n-1) c b a | |
| han 0 _ _ _ = [] | |
| han n a b c = han (n-1) a c b ++ [(a,c)] ++ han (n-1) b a c |
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ghci> han 3 "A" "B" "C"
[("A","C"),("A","B"),("C","B"),("A","C"),("B","A"),("B","C"),("A","C")]
ghci> hanoi 4 "A" "B" "C"
[("A","C"),("A","B"),("C","B"),("A","C"),("B","A"),("B","C"),("A","C"),("A","B"),("C","B"),("C","A"),("B","A"),("C","B"),("A","C"),("A","B"),("C","B")]