Python漢諾塔問題

2022-08-20 04:36:08 字數 2832 閱讀 4421

1

mport turtle23

class

stack:

4def

__init__

(self):

5 self.items =

6def

isempty(self):

7return len(self.items) ==0

8def

push(self, item):910

defpop(self):

11return

self.items.pop()

12def

peek(self):

13if

notself.isempty():

14return self.items[len(self.items) - 1]

15def

size(self):

16return

len(self.items)

1718

def drawpole_3():#

畫出漢諾塔的poles

19 t =turtle.turtle()

20t.hideturtle()

21def

drawpole_1(k):

22t.up()

23 t.pensize(10)

24 t.speed(100)

25 t.goto(400*(k-1), 100)

26t.down()

27 t.goto(400*(k-1), -100)

28 t.goto(400*(k-1)-20, -100)

29 t.goto(400*(k-1)+20, -100)

30 drawpole_1(0)#

畫出漢諾塔的poles[0]

31 drawpole_1(1)#

畫出漢諾塔的poles[1]

32 drawpole_1(2)#

畫出漢諾塔的poles[2]

3334

def creat_plates(n):#

製造n個盤子

35 plates=[turtle.turtle() for i in

range(n)]

36for i in

range(n):

37plates[i].up()

38plates[i].hideturtle()

39 plates[i].shape("

square")

40 plates[i].shapesize(1,8-i)

41 plates[i].goto(-400,-90+20*i)

42plates[i].showturtle()

43return

plates

4445

def pole_stack():#

製造poles的棧

46 poles=[stack() for i in range(3)]

47return

poles

4849

def movedisk(plates,poles,fp,tp):#

把poles[fp]頂端的盤子plates[mov]從poles[fp]移到poles[tp]

50 mov=poles[fp].peek()

51 plates[mov].goto((fp-1)*400,150)

52 plates[mov].goto((tp-1)*400,150)

53 l=poles[tp].size()#

確定移動到底部的高度(恰好放在原來最上面的盤子上面)

54 plates[mov].goto((tp-1)*400,-90+20*l)

5556

def movetower(plates,poles,height,frompole, topole, withpole):#

遞迴放盤子

57if height >= 1:

58 movetower(plates,poles,height-1,frompole,withpole,topole)

59movedisk(plates,poles,frompole,topole)

60poles[topole].push(poles[frompole].pop())

61 movetower(plates,poles,height-1,withpole,topole,frompole)

6263 myscreen=turtle.screen()

64drawpole_3()

65 n=int(input("

請輸入漢諾塔的層數並回車:"))

66 plates=creat_plates(n)

67 poles=pole_stack()

68for i in

range(n):

69poles[0].push(i)

70 movetower(plates,poles,n,0,2,1)

71 myscreen.exitonclick()

一、漢諾塔五層:

二、漢諾塔三層:

python 漢諾塔 Python漢諾塔

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