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(shù)并回車:\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()