2004年04月27日 星期二 18:31
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2004年04月27日 星期二 20:59
Hollo liux: 游戏是为了要在玩的同时,巩固所学, 象在下这样纯粹是使用 Python 迅速解决问题, 并没有费力去找最佳解,有负 Python 的英名哪! 晚上再比较一下子,先前的解决方案,想一想有没有有更加直观,又快的方法?! /******** [2004-4-27]20:55:45 ; you wrote: liux at gdcn.com> ----- 原邮件 ----- liux at gdcn.com> 从: "Zoom.Quiet" <zoomq at infopro.cn> liux at gdcn.com> 日期: 星期二, 四月 27日, 2004 下午5:59 liux at gdcn.com> 主题: Re[2]: 回复:Re[10]: liux at gdcn.com> [python-chinese]趣味问题――号码分配――执行测试 >> Hollo Who: >> >> 嗯嗯…………""" >> 返回一个迭代器,称为生成器迭代器,或者更常用的,生成器。通过重复地调用生成器的next()方法来运行生成器的函数体,直到抛出一个异常... >> """ >> yield 是用以将普通函式,声明为 构造函式的?! >> 为什么不用class.... 学习中! >> 非常精美哪! >> >> 随手使用文件输出修改了一下子, >> 并加入计时,进行效率比较: >> >> ]python codeBall.py >> >> run at: 2004-04-27 17:43:02 >> end at: 2004-04-27 17:43:03 >> 本次运行共用时 0.547000169754秒 >> 成功输出数据到文件:CodeBall.log >> 当罐有 8 个时,全部 40320 种排列中,合题的为:14833 种! >> >> ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ >> >> ]python CBfilter.py >> >> run at: 2004-04-27 17:42:44 >> end at: 2004-04-27 17:42:50 >> 本次运行共用时 6.25秒 >> 成功输出数据到文件:CBfilte.log >> >> 不会吧!在下最笨的方法居然会快捷一些? >> 大家评评理,不可能的吧! >> >> 在下的测试环境: >> Python 2.3.3 (CJK) (#51, Feb 13 2004, 21:18:21) [MSC v.1200 32 bit >> (Intel)] on win32 >> >> --------[ AIDA32 (c) 1995-2002 Unlimited Possibilities ]-------- >> Version AIDA32 v2.00 >> Author >> fiery at freemail.hu Homepage >> http://hardware.jatekok.hu/aida32/ >> Report Type Quick Report >> Computer ZQSTUDIO >> (ZqStudio) Generator >> Administrator Operating System >> Microsoft Windows Server 2003 Server (Enterprise Edition) 5.2.3790 >> (.NET Beta) >> --------[ CPU ]------------ >> CPU Properties: >> CPU Type Intel >> Pentium 4A, 2525 MHz (6.25 x 404) >> CPU Alias Northwood, >> A80532 L1 Trace Cache 12K >> Instructions L1 Data Cache >> 8 KB >> L2 Cache 0 >> --------[ Memory ]------- >> >> Physical Memory: >> Total 255 MB >> Used 200 MB >> Free 54 MB >> Utilization 79 % >> >> 嗯嗯!在Linux 中再试一试: >> ++++++++++++++++++++++++++++++++++++++++++++++++ >> Python 2.3.3 (#1, Feb 12 2004, 22:21:49) >> [GCC 3.2 20020903 (Red Hat Linux 8.0 3.2-7)] on linux2 >> >> PII 266 128Mb; RedHat 8.0 >> ++++++++++++++++++++++++++++++++++++++++++++++++ >> [Zoomq at redhat8 zCodeBall]$ python codeBall.py >> >> run at: 2004-04-27 18:03:10 >> end at: 2004-04-27 18:03:17 >> 本次运行共用时 6.66619110107秒 >> 成功输出数据到文件:CodeBall.log >> 当罐有 8 个时,全部 40320 种排列中,合题的为:14833 种! >> >> [Zoomq at redhat8 zCodeBall]$ python CBfilter.py >> >> run at: 2004-04-27 18:03:55 >> end at: 2004-04-27 18:04:25 >> 本次运行共用时 30.2400951385秒 >> 成功输出数据到文件:CBfilte.log >> >> 没有天理哪! >> 难道Python 喜欢笨伯? >> >> 在下只是组织了一下子,最直接的排除法, >> 先生成所有排列,然后过滤去不吻合的是也乎是也乎………… liux at gdcn.com> Bruce的代码用了递归,而且有几处还可以优化,再说从效率上讲,你的代码也不差呀^_^ >> >> /******** [2004-04-27]16:40:42 ; you wrote: >> >> Who Bruce> >> 把我的程序也贴上来给大家参考,顺便演示一下yield的用法(记得前一段时间有人问 >> Who Bruce> 过),:-) >> Who Bruce> 用这个程序算10个球得出来的结果是1334961: >> >> Who Bruce> 比较简短,就不放附件里了。 >> >> Who Bruce> def f(l,start=1): >> Who Bruce> if len(l)==0:yield "" >> Who Bruce> else: >> Who Bruce> tmp="" >> Who Bruce> for x in l: >> Who Bruce> if x == start:continue >> Who Bruce> for y in f(filter(lambda z:z!=x,l),start+1): >> Who Bruce> yield str(x)+y >> >> Who Bruce> def main(): >> Who Bruce> ans=[] >> Who Bruce> for x in f(range(1,5),1): >> Who Bruce> print x >> Who Bruce> ans.append(x) >> Who Bruce> print 'total:',len(ans) >> >> Who Bruce> main() >> >> >> >> >>From: liux at gdcn.com >> >>Reply-To: python-chinese at lists.python.cn >> >>To: "Zoom.Quiet" <zoomq at infopro.cn>, python-chinese at lists.python.cn >> >>Subject: 回复:Re[10]: >> [python-chinese]趣味问题――号码分配――修订代码 >> >>Date: Tue, 27 Apr 2004 16:02:57 +0800 >> >> >> >><< codeBall.py >> >> >><< outputLog.py >> >> >><< PnC.py >> >> >>_______________________________________________ >> >>python-chinese list >> >>python-chinese at lists.python.cn >> >>http://python.cn/mailman/listinfo/python-chinese >> >>_______________________________________________ >> >>python-chinese list >> >>python-chinese at lists.python.cn >> >>http://python.cn/mailman/listinfo/python-chinese >> >> >> >> ********************************************/ >> >> -- >> Free as in Freedom >> >> Zoom.Quiet >> >> #=========================================# >> ]Time is unimportant, only life important![ >> #=========================================# >> >> sender is the Bat!2.02 CE >> ********************************************/ -- Free as in Freedom Zoom.Quiet #=========================================# ]Time is unimportant, only life important![ #=========================================# sender is the Bat!2.02 CE
2004年04月27日 星期二 21:49
Hollo liux: 重新封装了一下子,最初您的代码再进行比较: ]python CBiterative.py run at: 2004-04-27 21:19:39 end at: 2004-04-27 21:19:39 本次运行共用时 0.0秒 当罐有 9 个时,全部 "本解决方案不进行排列尝试" 种排列中,CBiterative算法解得:133496 种! 太夸张了!快的都不用时间??? ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ ]python codeBall.py run at: 2004-04-27 21:18:26 end at: 2004-04-27 21:18:46 本次运行共用时 20.6990001202秒 当罐有 9 个时,全部 362880 种排列中,合题的为:133496 种! ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ ]python CBfilter.py run at: 2004-04-27 21:20:27 end at: 2004-04-27 21:43:32 本次运行共用时 1385.171秒 ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ 在下家里的环境: Python 2.3.3 (CJK/SJIS) (#51, Feb 13 2004, 22:04:56) [MSC v.1200 32 bit (Intel)] on win32 --------[ AIDA32 (c) 1995-2002 Unlimited Possibilities ]------- Version AIDA32 v2.00 Author fiery at freemail.hu Homepage http://hardware.jatekok.hu/aida32/ Report Type Quick Report Computer ZQSTUDIO-ORG Generator Zoomq Operating System Microsoft Windows Server 2003 Server (Enterprise Edition) 5.2.3790 (.NET Beta) Date 2004-04-27 Time 21:21 --------[ CPU ]------- CPU Properties: CPU Type Intel Celeron II, 1007 MHz (9 x 111) CPU Alias Celeron III, Coppermine Lite, Coppermine-128 L1 Code Cache 16 KB L1 Data Cache 16 KB L2 Cache 128 KB (On-Die, Full-Speed) --------[ Memory ]-------- Physical Memory: Total 639 MB Used 359 MB Free 279 MB Utilization 56 % 呜乎哀哉!看来代码是否有Python 的特质,漂亮并不代表是否执行效率高!? 简单,正确的思路是关键哪……………… /******** [2004-4-27]21:19:23 ; you wrote: liux at gdcn.com> ----- 原邮件 ----- liux at gdcn.com> 从: "Zoom.Quiet" <zoomq at infopro.cn> liux at gdcn.com> 日期: 星期二, 四月 27日, 2004 下午5:59 liux at gdcn.com> 主题: Re[2]: 回复:Re[10]: liux at gdcn.com> [python-chinese]趣味问题――号码分配――执行测试 >> Hollo Who: >> >> 嗯嗯…………""" >> 返回一个迭代器,称为生成器迭代器,或者更常用的,生成器。通过重复地调用生成器的next()方法来运行生成器的函数体,直到抛出一个异常... >> """ >> yield 是用以将普通函式,声明为 构造函式的?! >> 为什么不用class.... 学习中! >> 非常精美哪! >> >> 随手使用文件输出修改了一下子, >> 并加入计时,进行效率比较: >> >> ]python codeBall.py >> >> run at: 2004-04-27 17:43:02 >> end at: 2004-04-27 17:43:03 >> 本次运行共用时 0.547000169754秒 >> 成功输出数据到文件:CodeBall.log >> 当罐有 8 个时,全部 40320 种排列中,合题的为:14833 种! >> >> ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ >> >> ]python CBfilter.py >> >> run at: 2004-04-27 17:42:44 >> end at: 2004-04-27 17:42:50 >> 本次运行共用时 6.25秒 >> 成功输出数据到文件:CBfilte.log >> >> 不会吧!在下最笨的方法居然会快捷一些? >> 大家评评理,不可能的吧! >> >> 在下的测试环境: >> Python 2.3.3 (CJK) (#51, Feb 13 2004, 21:18:21) [MSC v.1200 32 bit >> (Intel)] on win32 >> >> --------[ AIDA32 (c) 1995-2002 Unlimited Possibilities ]-------- >> Version AIDA32 v2.00 >> Author >> fiery at freemail.hu Homepage >> http://hardware.jatekok.hu/aida32/ >> Report Type Quick Report >> Computer ZQSTUDIO >> (ZqStudio) Generator >> Administrator Operating System >> Microsoft Windows Server 2003 Server (Enterprise Edition) 5.2.3790 >> (.NET Beta) >> --------[ CPU ]------------ >> CPU Properties: >> CPU Type Intel >> Pentium 4A, 2525 MHz (6.25 x 404) >> CPU Alias Northwood, >> A80532 L1 Trace Cache 12K >> Instructions L1 Data Cache >> 8 KB >> L2 Cache 0 >> --------[ Memory ]------- >> >> Physical Memory: >> Total 255 MB >> Used 200 MB >> Free 54 MB >> Utilization 79 % >> >> 嗯嗯!在Linux 中再试一试: >> ++++++++++++++++++++++++++++++++++++++++++++++++ >> Python 2.3.3 (#1, Feb 12 2004, 22:21:49) >> [GCC 3.2 20020903 (Red Hat Linux 8.0 3.2-7)] on linux2 >> >> PII 266 128Mb; RedHat 8.0 >> ++++++++++++++++++++++++++++++++++++++++++++++++ >> [Zoomq at redhat8 zCodeBall]$ python codeBall.py >> >> run at: 2004-04-27 18:03:10 >> end at: 2004-04-27 18:03:17 >> 本次运行共用时 6.66619110107秒 >> 成功输出数据到文件:CodeBall.log >> 当罐有 8 个时,全部 40320 种排列中,合题的为:14833 种! >> >> [Zoomq at redhat8 zCodeBall]$ python CBfilter.py >> >> run at: 2004-04-27 18:03:55 >> end at: 2004-04-27 18:04:25 >> 本次运行共用时 30.2400951385秒 >> 成功输出数据到文件:CBfilte.log >> >> 没有天理哪! >> 难道Python 喜欢笨伯? >> >> 在下只是组织了一下子,最直接的排除法, >> 先生成所有排列,然后过滤去不吻合的是也乎是也乎………… liux at gdcn.com> Bruce的代码用了递归,而且有几处还可以优化,再说从效率上讲,你的代码也不差呀^_^ >> >> /******** [2004-04-27]16:40:42 ; you wrote: >> >> Who Bruce> >> 把我的程序也贴上来给大家参考,顺便演示一下yield的用法(记得前一段时间有人问 >> Who Bruce> 过),:-) >> Who Bruce> 用这个程序算10个球得出来的结果是1334961: >> >> Who Bruce> 比较简短,就不放附件里了。 >> >> Who Bruce> def f(l,start=1): >> Who Bruce> if len(l)==0:yield "" >> Who Bruce> else: >> Who Bruce> tmp="" >> Who Bruce> for x in l: >> Who Bruce> if x == start:continue >> Who Bruce> for y in f(filter(lambda z:z!=x,l),start+1): >> Who Bruce> yield str(x)+y >> >> Who Bruce> def main(): >> Who Bruce> ans=[] >> Who Bruce> for x in f(range(1,5),1): >> Who Bruce> print x >> Who Bruce> ans.append(x) >> Who Bruce> print 'total:',len(ans) >> >> Who Bruce> main() >> >> >> >> >>From: liux at gdcn.com >> >>Reply-To: python-chinese at lists.python.cn >> >>To: "Zoom.Quiet" <zoomq at infopro.cn>, python-chinese at lists.python.cn >> >>Subject: 回复:Re[10]: >> [python-chinese]趣味问题――号码分配――修订代码 >> >>Date: Tue, 27 Apr 2004 16:02:57 +0800 >> >> >> >><< codeBall.py >> >> >><< outputLog.py >> >> >><< PnC.py >> >> >>_______________________________________________ >> >>python-chinese list >> >>python-chinese at lists.python.cn >> >>http://python.cn/mailman/listinfo/python-chinese >> >>_______________________________________________ >> >>python-chinese list >> >>python-chinese at lists.python.cn >> >>http://python.cn/mailman/listinfo/python-chinese >> >> >> >> ********************************************/ >> >> -- >> Free as in Freedom >> >> Zoom.Quiet >> >> #=========================================# >> ]Time is unimportant, only life important![ >> #=========================================# >> >> sender is the Bat!2.02 CE >> ********************************************/ -- Free as in Freedom Zoom.Quiet #=========================================# ]Time is unimportant, only life important![ #=========================================# sender is the Bat!2.02 CE -------------- next part -------------- # -*- coding: gbk -*- # file CBfilter.py #/********************************* # \class CBfilter # \brief [python-chinese] 趣味问题――号码分配试解 # \version 1.0 04427 Who Bruce 原始提出;Zoomq Class 化 # \author Who Bruce # \attention Released under GNU Lesser GPL library license #*********************************/ import sys, os,string class CBfilter: def __init__(self): self.log="" def __repr__(self):# 类自述定义 print("Who Bruce 的精巧方式 解答输出") return self.log def f(self,l,start=1): if len(l)==0:yield "" else: #tmp="" for x in l: if x == start:continue for y in self.f(filter(lambda z:z!=x,l),start+1): yield str(x)+y def play(self,order): ans=[] seq = range(1,order+1) for x in self.f(seq,1): self.log += x+"\n" #print x ans.append(x) #print 'total:',len(ans) self.log += '\ntotal:%s'%len(ans) return self.log if __name__ == '__main__': # 自测试 playCB = CBfilter() if(playCB): #玩――直接处理出结果! import timer watch= timer.timer() watch.start() result = playCB.play(9) print(watch.stop()) #输出正确的序列到文件 #import outputLog #exp = outputLog.exporter() #exp.exportTxt(result) #exp.writeInFile("CBfilte.log") #print "当罐有 %s 个时,全部 %s 种排列中,合题的为:%s 种!"%(len(order),len(p),len(result)) else: print("\"\"") -------------- next part -------------- # -*- coding: gbk -*- # -*- coding: gbk -*- # file CBiterative.py #/********************************* # \class CBiterative # \brief [python-chinese] 趣味问题―号码球问题 liux at gdcn.com试解 # \version 2.0 04427 Zoom.Quiet OOP化,以同类比较效率 # \version 1.0 04426 liux at gdcn.com 原始提出 # \author Liux (liux at gdcn.com) # \attention Released under GNU Lesser GPL library license # \par 这里采用迭代算法而非递归,是为了得到更好的效率 # \return # \sa #*********************************/ import sys,os,string class CBiterative: def __init__(self): self.log="" def __repr__(self):# 类自述定义 print("Liux 解决方式解答输出") return self.log def P(self,x, y = None): """ 求排列数P(x, y),y默认值为x,此时取P(x),即x! """ if x == 0 or y == 0: return 1 re = x i = x - 1 if y == None: l = 1 else: l = x - y while i > l: re *= i i -= 1 return re def C(self,x, y): """ 求组合数C(x, y) """ if x == y: return 1 else: return self.P(x, y)/self.P(y) #求号码球(Code Ball)问题,CB1使用递归算法: #1、CB1算法只考虑取出所有球的情况 # 即每一个罐子都有一个球对应,没有空罐。 #2、CB1(0)时,视作有1种解(这种情况下没 #有罐子与球对应); #3、CB1(1)时,没有解(罐子必然与球对应); #4、CB1(2)时,有一种解(罐子与球要么完全) #对应,要么完全不对应; #5、CB1(n), n>=3可以分解为用所有可能的排列减去 #不合要求的组合。包含有m(m <= n)个重复对应的排 #列数为C(n, m)*CB1(n - m)。m取遍n到1, #P(n)与C(n, m)*CB1(n - m)之积加和之差,即为所求。 #故: #CB1(3) = P(3) - C(3, 3)*CB1(3 - 3) - C(3, 2)*CB1(3 - 2) - C(3, 1)*CB1(3 - 1) #CB1(n) = P(n) - C(n, n)*CB1(n - n) - C(n, n - 1)*CB1(n - n + 1) - ... - C(n, 1)*CB1(n - 1) # = P(n) - C(n, n)*CB1(0) - C(n, n - 1)*CB1(1) - ... - C(n, 1)*CB1(n - 1) #由C(n, n)==1,CB1(0)==CB1(2)==1,CB1(1)==0,CB1(n)可以简化为: #CB1(n)=P(n) - 1 - C(n, n - 2) - C(n, n - 3)*CB1(3) - ... - n*CB1(n-1) def CB1(self,x): if x == 0 or x == 2: return 1 elif x == 1: return 0 else: re = self.P(x) - 1 for i in range(2, x): re -= self.C(x, x-i)*self.CB1(i) return re if __name__ == '__main__': # 自测试 play = CBiterative() if(play): order = 9 import timer watch= timer.timer() watch.start() result = play.CB1(order) print(watch.stop()) print "当罐有 %s 个时,全部 %s 种排列中,CBiterative算法解得:%s 种!"%(order," \n\"本解决方案不进行排列尝试\" ",result) #输出正确的序列到文件 #import outputLog #exp = outputLog.exporter() #exp.exportArrayCB(result) #exp.writeInFile("CodeBall.log") else: print(" 数码球 CBiterative试解模块 实例创建失败退出!-->\"") -------------- next part -------------- # -*- coding: gbk -*- # file codeBall.py #/********************************* # \class codeBall # \brief [python-chinese] 趣味问题――号码分配试解 # \version 2.0 04427 16:22 liux at gdcn.com fixed # \version 1.0 04427 liux at gdcn.com 原始提出,现在以最笨方式解决 # \author Zoom Quiet (zoomq at itcase.com) # \attention Released under GNU Lesser GPL library license # \par # \return # \sa #*********************************/ import sys, os,string import PnC class playCodeBall: def __init__(self): self.log="" def __repr__(self):# 类自述定义 print("Zoom.Quiet 最笨方式进行正确解答输出\n 可以作为其它解的验证") return self.log def filter(self,seq,order): seqCB = [] length = len(order) tag = 0 for item in seq: for i in range(length): #if(i == int(item[i-1])): # 0427;16:22 liux at gdcn.com fixed if(i == int(item[i]) - 1): #print "bad CodeBall> %s at [%s] = %s"%(item,i,item[i-1]) break else: if(i+1==length): tag = 1 if(1==tag): seqCB.append(item) #print item tag = 0 return seqCB if __name__ == '__main__': # 自测试 tryPnC = PnC.permutation() # imported by other programs as well if(tryPnC): #建立序列 import timer watch= timer.timer() watch.start() order="123456789" seq = list(order) #生成排列 p = tryPnC.permute(seq) #玩――过滤出切题的 CB = playCodeBall() result = CB.filter(p,order) print(watch.stop()) #输出正确的序列到文件 #import outputLog #exp = outputLog.exporter() #exp.exportArrayCB(result) #exp.writeInFile("CodeBall.log") print "当罐有 %s 个时,全部 %s 种排列中,合题的为:%s 种!"%(len(order),len(p),len(result)) else: print("\"\"") -------------- next part -------------- # -*- coding: gbk -*- # file PnC.py #/********************************* # \class PnC # \brief permutation and combination 排列组合 输出 # \version 1.0 04427 使用"一切从游戏开始 - ChinesePython Wiki"的技巧 # \author Zoom Quiet (zoomq at itcase.com) # \attention Released under GNU Lesser GPL library license # \par # \return # \sa #*********************************/ import sys, os,string import outputLog class permutation: def __init__(self): self.log="" self.export="" def __repr__(self):# 类自述定义 return self.log def P(self,x, y = None): """ Liux的自然 求排列数P(x, y),y默认值为x,此时取P(x),即x! """ if x == 0 or y == 0: return 1 re = x i = x - 1 if y == None: l = 1 else: l = x - y while i > l: re *= i i -= 1 return re def permute_O_n(self,seq,index): seqc = seq[:] seqn = [seqc.pop()] divider = 2 while seqc: index, new_index = divmod(index,divider) seqn.insert(new_index, seqc.pop()) divider += 1 return ''.join(seqn) def permute(self,seq): seqn = [seq.pop()] while seq: newseq = [] new = seq.pop() #print "seq:",seq,'seqn', seqn ,'new', new for i in range(len(seqn)): item = seqn[i] for j in range(len(item)+1): newseq.append(''.join([item[:j],new,item[j:]])) seqn = newseq #print 'newseq',newseq return seqn if __name__ == '__main__': # 自测试 tryPnC = permutation() # imported by other programs as well if(tryPnC): seq = list("1234") #for i in range(30): #print tryPnC.permute_O_n(seq, i) p = tryPnC.permute(seq) #print len(p) #for i in p: # print i #open("PnC.log","w").write(PnC.export) exp = outputLog.exporter() exp.exportArray(p) exp.writeInFile("PnC.log") else: print("\"\"") -------------- next part -------------- # -*- coding: gbk -*- # file timer.py #/********************************* # \class timer # \brief 通用Python 程序运行计时器 # \version 1.0 04427 for 数码球游戏 # \author Zoom.Quiet ( zoomq at itcase.com) # \attention Released under GNU Lesser GPL library license # \par usage # \li 声明 :watch = timer() # \li 跑秒 :watch.start() # \li 计时 :watch.stop() # \note 只要将watch.start();watch.stop() 分别插入到想测试的代码前后就可以了! #*********************************/ import sys,os,string,time class timer: def __init__(self): self.log="" def __repr__(self):# 类自述定义 print("利用Python 内含time 模块进行代码计时!") return self.log def start(self): self.start= time.time() self.log += "\n run at:"+time.strftime(" %Y-%m-%d %X",time.localtime(self.start)) return self.log def stop(self): self.stop= time.time() self.log += "\n end at:"+time.strftime(" %Y-%m-%d %X",time.localtime(self.stop)) self.log += "\n 本次运行共用时 %s秒"% (self.stop-self.start) return self.log if __name__ == '__main__': # 自测试 watch = timer() if(watch): import CBfilter playCB = CBfilter.CBfilter() # imported by other programs as well watch.start() result = playCB.play(8) print(watch.stop()) #print result else: print("\"\"")
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