用python编写一个程序,得到汉诺塔的解决方案

        古代有一座汉诺塔,塔内有3个座A、B、C,A座上有n个盘子,盘子大小不等,大的在下,小的在上,如图所示。

有一个和尚想把这n个盘子从A座移到C座,但每次只能移动一个盘子,并且自移动过程中,3个座上的盘子始终保持大盘在下,小盘在上。在移动过程中可以利用B座来放盘子。

  现在我编写一个程序(其实就是运用了递归思想)输入一个正整数,表示汉诺塔内的盘子个数n1<=n<=64)然后输出移动的步骤。

步骤一:代码如下:

def move(x,y):

print("%s --> %s"%(x,y))

def hanoi(n,one,two,three):

if n==1:

move(one,three)

else:

hanoi(n-1,one,three,two)

move(one,three)

hanoi(n-1,two,one,three)

def main():#main函数

m=int(input())#输入盘子个数

hanoi(m,'A','B','C')

main()

  

步骤二:执行代码,现在我输入4,即4个盘子,看看搬运的步骤是怎么样的:

附:用turtle画出步骤则更直观,也更有趣,下面用turtle画出搬运过程

import turtle
 
class Stack:
    def __init__(self):
        self.items = []
    def isEmpty(self):
        return len(self.items) == 0
    def push(self, item):
        self.items.append(item)
    def pop(self):
        return self.items.pop()
    def peek(self):
        if not self.isEmpty():
            return self.items[len(self.items) - 1]
    def size(self):
        return len(self.items)
 
def drawpole_3():#画出汉诺塔的poles
    t = turtle.Turtle()
    t.hideturtle()
    def drawpole_1(k):
        t.up()
        t.pensize(10)
        t.speed(100)
        t.goto(400*(k-1), 100)
        t.down()
        t.goto(400*(k-1), -100)
        t.goto(400*(k-1)-20, -100)
        t.goto(400*(k-1)+20, -100)
    drawpole_1(0)#画出汉诺塔的poles[0]
    drawpole_1(1)#画出汉诺塔的poles[1]
    drawpole_1(2)#画出汉诺塔的poles[2]
 
def creat_plates(n):#制造n个盘子
    plates=[turtle.Turtle() for i in range(n)]
    for i in range(n):
        plates[i].up()
        plates[i].hideturtle()
        plates[i].shape("square")
        plates[i].shapesize(1,8-i)
        plates[i].goto(-400,-90+20*i)
        plates[i].showturtle()
    return plates
 
def pole_stack():#制造poles的栈
    poles=[Stack() for i in range(3)]
    return poles
 
def moveDisk(plates,poles,fp,tp):#把poles[fp]顶端的盘子plates[mov]从poles[fp]移到poles[tp]
    mov=poles[fp].peek()
    plates[mov].goto((fp-1)*400,150)
    plates[mov].goto((tp-1)*400,150)
    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)
    plates[mov].goto((tp-1)*400,-90+20*l)
 
def moveTower(plates,poles,height,fromPole, toPole, withPole):#递归放盘子
    if height >= 1:
        moveTower(plates,poles,height-1,fromPole,withPole,toPole)
        moveDisk(plates,poles,fromPole,toPole)
        poles[toPole].push(poles[fromPole].pop())
        moveTower(plates,poles,height-1,withPole,toPole,fromPole)
 
myscreen=turtle.Screen()
drawpole_3()
n=int(input("请输入汉诺塔的层数并回车:
"))
plates=creat_plates(n)
poles=pole_stack()
for i in range(n):
    poles[0].push(i)
moveTower(plates,poles,n,0,2,1)
myscreen.exitonclick()#代码参考https://blog.csdn.net/beerbread134/article/details/69226991

  

原文地址:https://www.cnblogs.com/daydayup12138/p/10588712.html