用python实现汉诺塔问题
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2023-12-31 16:26:58
用动画实现汉诺塔问题: import turtle class Stack: def __init__(self): self.items = [] def isEmpty(self): return len(self.items) == 0 def push(self, item): self.i ......
用动画实现汉诺塔问题:
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:\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()