用 python 解決漢諾塔問題並附帶演示過程

一、使用工具 IDLE

二、漢諾塔代碼

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():#畫出漢諾塔的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)#畫出漢諾塔的poles[0]

    drawpole_1(1)#畫出漢諾塔的poles[1]

    drawpole_1(2)#畫出漢諾塔的poles[2]

 

def creat_plates(n):#制造n個盤子

    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的棧

    poles=[Stack() for i in range(3)]

    return poles

 

def moveDisk(plates,poles,fp,tp):#把poles[fp]頂端的盤子plates[mov]從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()#確定移動到底部的高度（恰好放在原來最上面的盤子上面）

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

 

def moveTower(plates,poles,height,fromPole, toPole, withPole):#遞歸放盤子

    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("請輸入漢諾塔的層數並回車:\n"))

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()

三、運行結果（輸入層數為5）