汉诺塔问题

实现线上汉诺塔移动问题
1 n=eval(input())
2 def hanoi(n,A,C,B):
3     if n==1:
4         print("{} --> {}".format(A,C))
5     else:
6         hanoi (n-1,A,B,C)
7         print("{} --> {}".format(A,C))
8         hanoi(n-1,B,C,A)
9 hanoi(n,'A','C',"B")

动画实现过程如下：

 1 import turtle
 2   
 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_3():#画出汉诺塔的poles
19     t = turtle.Turtle()
20     t.hideturtle()
21     def drawpole_1(k):
22         t.up()
23         t.pensize(10)
24         t.speed(100)
25         t.goto(400*(k-1), 100)
26         t.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)#画出汉诺塔的poles[0]
31     drawpole_1(1)#画出汉诺塔的poles[1]
32     drawpole_1(2)#画出汉诺塔的poles[2]
33   
34 def creat_plates(n):#制造n个盘子
35     plates=[turtle.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poles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=turtle.Screen()
64 drawpole_3()
65 #n=int(input("请输入汉诺塔的层数并回车:
"))
66 n=3
67 plates=creat_plates(n)
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()