#!/usr/bin/env python
# encoding=utf-8 (pep 0263)
from linked_lists import LinkedList, Cons, Nil
hanoi_mem = dict()
def hanoi(n, a, b, c):
if n == 1:
return LinkedList(["%s to %s" % (a, b)])
if n < 1:
raise ValueError("n musi byt kladne")
if (n+1, a, c, b) not in hanoi_mem:
hanoi_mem[(n-1, a, c, b)] = hanoi(n-1, a, c, b)
if (n+1, a, c, b) not in hanoi_mem:
hanoi_mem[(n-1, c, b, a)] = hanoi(n-1, c, b, a)
ms1 = hanoi_mem[(n-1, a, c, b)]
ms2 = hanoi_mem[(n-1, c, b, a)]
return append(ms1, Cons("%s to %s" % (a, b), ms2))
def append(xs, ys):
if xs == Nil:
return ys
else:
return Cons(xs.head, append(xs.tail, ys))
# demonstracni vypis
if __name__ == "__main__":
print("Demonstrace programu Hanoi")
print("hanoi(pocet_taliru, z_tyce, na_tyc, pomoci_tyce)")
print("\nVysledek dotazu hanoi(2, 'a', 'b', 'c'): ")
print(hanoi(2, 'a', 'b', 'c'))
print("\nVysledek dotazu hanoi(3, 'a', 'b', 'c'): ")
print(hanoi(3, 'a', 'b', 'c'))
print("\nVysledek dotazu hanoi(4, 'a', 'b', 'c'): ")
print(hanoi(4, 'a', 'b', 'c'))
Demonstrace programu Hanoi
hanoi(pocet_taliru, z_tyce, na_tyc, pomoci_tyce)
Vysledek dotazu hanoi(2, 'a', 'b', 'c'):
['a to c', 'a to b', 'c to b']
Vysledek dotazu hanoi(3, 'a', 'b', 'c'):
['a to b', 'a to c', 'b to c', 'a to b', 'c to a', 'c to b', 'a to b']
Vysledek dotazu hanoi(4, 'a', 'b', 'c'):
['a to c', 'a to b', 'c to b', 'a to c', 'b to a', 'b to c', 'a to c', 'a to b', 'c to b', 'c to a', 'b to a', 'c to b', 'a to c', 'a to b', 'c to b']
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