实现和线上汉诺塔移动问题
1 def hannuo(n,a,b,c):
2 if n == 1:
3 print(a,"->",c)
4 else:
5 hannuo(n-1,a,c,b)#将最后一个盘子移到c
6 print(a,"->",c)#将剩余的盘子移动c
7 hannuo(n-1,b,a,c)
8 n = int(input())
9 hannuo(n,"A","B","C")
汉诺塔问题可视化
1 #(参考修改于https://blog.csdn.net/weixin_44046046/article/details/88858031)
2 import turtle
3 turtle.setup(width=0.99, height=0.99)
4 class Stack:
5 def __init__(self):
6 self.items = []
7 def isEmpty(self):
8 return len(self.items) == 0
9 def push(self, item):
10 self.items.append(item)
11 def pop(self):
12 return self.items.pop()
13 def peek(self):
14 if not self.isEmpty():
15 return self.items[len(self.items) - 1]
16 def size(self):
17 return len(self.items)
18 turtle.done
19 def drawpole_3():
20 t = turtle.Turtle()
21 t.hideturtle()
22 def drawpole_1(k):
23 t.up()
24 t.pensize(10)
25 t.speed(100)
26 t.goto(400*(k-1), 300)
27 t.down()
28 t.goto(400*(k-1), -100)
29 t.goto(400*(k-1)-20, -100)
30 t.goto(400*(k-1)+20, -100)
31 drawpole_1(0)
32 drawpole_1(1)
33 drawpole_1(2)
34 def creat_plates(n):
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(1,20-i)
41 plates[i].goto(-400,-90+20*i)
42 plates[i].showturtle()
43 return plates
44 def pole_stack():
45 poles=[Stack() for i in range(3)]
46 return poles
47 def moveDisk(plates,poles,fp,tp):
48 mov=poles[fp].peek()
49 plates[mov].goto((fp-1)*400,300)
50 plates[mov].goto((tp-1)*400,300)
51 l=poles[tp].size()
52 plates[mov].goto((tp-1)*400,-90+20*l)
53 def moveTower(plates,poles,height,fromPole, toPole, withPole):
54 if height >= 1:
55 moveTower(plates,poles,height-1,fromPole,withPole,toPole)
56 moveDisk(plates,poles,fromPole,toPole)
57 poles[toPole].push(poles[fromPole].pop())
58 moveTower(plates,poles,height-1,withPole,toPole,fromPole)
59 myscreen=turtle.Screen()
60 drawpole_3()
61 n=3
62 plates=creat_plates(n)
63 poles=pole_stack()
64 for i in range(n):
65 poles[0].push(i)
66 moveTower(plates,poles,n,0,2,1)
67 myscreen.exitonclick()