Path: csiph.com!usenet.pasdenom.info!weretis.net!feeder1.news.weretis.net!feeder.erje.net!eu.feeder.erje.net!newsfeed.freenet.ag!news2.euro.net!newsgate.cistron.nl!newsgate.news.xs4all.nl!post.news.xs4all.nl!not-for-mail Return-Path: X-Original-To: python-list@python.org Delivered-To: python-list@mail.python.org X-Spam-Status: OK 0.020 X-Spam-Evidence: '*H*': 0.96; '*S*': 0.00; 'algorithm': 0.03; 'subject:python': 0.11; 'algorithm.': 0.16; 'benjamin': 0.16; 'bisect': 0.16; 'bit.': 0.16; 'from:addr:rosuav': 0.16; 'from:name:chris angelico': 0.16; 'n),': 0.16; 'sorting': 0.16; 'subject:3.3': 0.16; 'wed,': 0.16; 'wrote:': 0.17; 'sort': 0.21; 'bit': 0.21; 'header:In-Reply-To:1': 0.25; 'wrote': 0.26; 'first.': 0.27; 'message-id:@mail.gmail.com': 0.27; 'subject:list': 0.28; 'writes:': 0.29; 'usually': 0.30; 'to:addr :python-list': 0.33; 'received:google.com': 0.34; 'minimum': 0.34; 'thanks': 0.34; 'list': 0.35; 'faster': 0.35; 'so,': 0.35; 'pm,': 0.35; 'but': 0.36; 'should': 0.36; 'two': 0.37; 'subject:: ': 0.38; 'performance': 0.39; 'to:addr:python.org': 0.39; 'takes': 0.39; 'your': 0.60; 'course.': 0.62; '2013': 0.84; 'each,': 0.84; 'oscar': 0.84; 'subject:Min': 0.84 DKIM-Signature: v=1; a=rsa-sha256; c=relaxed/relaxed; d=gmail.com; s=20120113; h=mime-version:x-received:in-reply-to:references:date:message-id :subject:from:to:content-type; bh=wvjbkf70fbiDF6r7Os4AcDNd3G9B3jhVDG1wOWxzus8=; b=VU6nN+bC3+ESktw0WaQClmQmTzzyPnClo7UhMu7iXN9GSq5Dcd/41snO877PrWMCQ/ bSgGo/DYMeDOc79LZWHGxJXo8/cVebj0ZSvx2UDFJhNNUeKESLpPlbeWLW174k+Jju7e DjPWNlqwSoTxq+LOUu2E+vDMsmodIrjpYJ6bwe92WFwgxuEw12NFB5PMfFkhIXlZkl/y Icy+l+qsdgvSaYNQlfwmpeUC8NRK1Wq3hURmbnpv+2UZ8Fid0mG55K8iGFcNQtK9VxaL u4a3GnVvpVKm7Pe0zsXYB/uYwdeQE3w8uoaafZHL/pigdf+u40/q3b+CdvmLVVwdja9W RCKw== MIME-Version: 1.0 X-Received: by 10.58.50.7 with SMTP id y7mr8274577ven.24.1363174739461; Wed, 13 Mar 2013 04:38:59 -0700 (PDT) In-Reply-To: References: <513fdcfc$0$29965$c3e8da3$5496439d@news.astraweb.com> Date: Wed, 13 Mar 2013 22:38:59 +1100 Subject: Re: Finding the Min for positive and negative in python 3.3 list From: Chris Angelico To: python-list@python.org Content-Type: text/plain; charset=ISO-8859-1 X-BeenThere: python-list@python.org X-Mailman-Version: 2.1.15 Precedence: list List-Id: General discussion list for the Python programming language List-Unsubscribe: , List-Archive: List-Post: List-Help: List-Subscribe: , Newsgroups: comp.lang.python Message-ID: Lines: 25 NNTP-Posting-Host: 2001:888:2000:d::a6 X-Trace: 1363174748 news.xs4all.nl 6989 [2001:888:2000:d::a6]:56506 X-Complaints-To: abuse@xs4all.nl Xref: csiph.com comp.lang.python:41174 On Wed, Mar 13, 2013 at 10:34 PM, Wolfgang Maier wrote: > Oscar Benjamin gmail.com> writes: > >> >> Sort cannot be O(log(n)) and it cannot be faster than a standard O(n) >> minimum finding algorithm. No valid sorting algorithm can have even a >> best case performance that is better than O(n). This is because it >> takes O(n) just to verify that a list is sorted. >> >> Oscar >> > > Oops, you're right of course. > Wrote this in a hurry before and got confused a bit. > So, the two min()s take O(n) each, the sort takes O(n), > but the bisect takes O(log n), > which means that sorting and bisecting together should still be faster > than 2xmin(), although it's a bit less striking than what I wrote first. > Thanks for the correction, > Wolfgang Your sort is usually going to be O(n log n), not O(log n). ChrisA