汉诺塔

 1 ‘‘‘ 编程环境：python3.7  win7x64 ‘‘‘
 2 def printf(A,C):  #盘子移动的输出格式
 3     print("{} --> {}".format(A,C))
 4 
 5 def move(n,A,B,C):
 6     if n == 1:
 7         printf(A,C)     #将最后1个盘子从A座移到C座
 8     else:
 9         move(n-1,A,C,B) #将n个盘子从A座借助B座移到C座
10         printf(A,C)     #将最后1个盘子从A座移到C座
11         move(n-1,B,A,C) #将n个盘子从B座借助A座移到C座
12 
13 N = int(input("请输入汉诺塔层数："))
14 move(N,‘A‘,‘B‘,‘C‘)

 1 ‘‘‘ 编程环境：python3.7  win7x64 ‘‘‘
 2 from turtle import *
 3 class Stack:
 4     def __init__(self):
 5         self.items = []
 6     def isEmpty(self):
 7         return len(self.items) == 0
 8     def push(self, item):
 9         self.items.append(item)
10     def pop(self):
11         return self.items.pop()
12     def peek(self):
13         if not self.isEmpty():
14             return self.items[len(self.items) - 1]
15     def size(self):
16         return len(self.items)
17 
18 def drawpole_1(k):#画汉诺塔的底座
19     up()
20     pensize(10)
21     speed(100)
22     goto(400*(k-1), 100)
23     down()
24     goto(400*(k-1), -100)
25     goto(400*(k-1)-20, -100)
26     goto(400*(k-1)+20, -100)
27 
28 def drawpole_3():#画出汉诺塔的三个底座
29     hideturtle()#隐藏
30     drawpole_1(0)#画出汉诺塔的底座左
31     drawpole_1(1)#画出汉诺塔的底座中
32     drawpole_1(2)#画出汉诺塔的底座右
33 
34 def creat_plates(n):#制造n个盘子
35     plates=[Turtle() for i in range(n)]
36     for i in range(n):
37         plates[i].up()
38         plates[i].hideturtle()
39         plates[i].shape("square")
40         plates[i].shapesize(1,8-i)
41         plates[i].goto(-400,-90+20*i)
42         plates[i].showturtle()
43     return plates
44 
45 def pole_stack():#制造底座的栈
46     poles=[Stack() for i in range(3)]
47     return poles
48 
49 def moveDisk(plates,poles,fp,tp):#把poles[fp]顶端的盘子plates[mov]从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()#确定移动到底部的高度（恰好放在原来最上面的盘子上面）
54     plates[mov].goto((tp-1)*400,-90+20*l)
55 
56 def moveTower(plates,poles,height,fromPole, toPole, withPole):#递归放盘子
57     if height >= 1:
58         moveTower(plates,poles,height-1,fromPole,withPole,toPole)
59         moveDisk(plates,poles,fromPole,toPole)
60         poles[toPole].push(poles[fromPole].pop())
61         moveTower(plates,poles,height-1,withPole,toPole,fromPole)
62 
63 myscreen=Screen()
64 setup(1200,500) #设置窗口大小
65 drawpole_3()    #画汉诺塔的底座
66 n=int(input("请输入汉诺塔的层数并回车:"))#输入汉诺塔的盘子数
67 plates=creat_plates(n)#制造n个盘子
68 poles=pole_stack()
69 for i in range(n):
70     poles[0].push(i)
71 moveTower(plates,poles,n,0,2,1)
72 myscreen.exitonclick()