Path: csiph.com!usenet.pasdenom.info!news.albasani.net!newsfeed.freenet.ag!newsfeed.kamp.net!newsfeed.kamp.net!feeder1.cambriumusenet.nl!feed.tweaknews.nl!194.109.133.81.MISMATCH!newsfeed.xs4all.nl!newsfeed2a.news.xs4all.nl!xs4all!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 0.015 X-Spam-Evidence: '*H*': 0.97; '*S*': 0.00; 'tree': 0.05; '21,': 0.07; 'element': 0.07; '22,': 0.09; 'lst': 0.09; 'jan': 0.12; 'suggest': 0.14; '[and': 0.16; 'empty.': 0.16; 'incomplete': 0.16; 'likewise': 0.16; 'node,': 0.16; 'elements': 0.16; 'thursday,': 0.16; 'wrote:': 0.18; 'wed,': 0.18; 'question': 0.24; 'header:In- Reply-To:1': 0.27; 'point': 0.28; 'message-id:@mail.gmail.com': 0.30; 'datum': 0.31; 'node': 0.31; 'text': 0.33; 'sense': 0.34; 'could': 0.34; 'case,': 0.35; 'definition': 0.35; 'but': 0.35; 'received:google.com': 0.35; 'should': 0.36; 'january': 0.37; 'list': 0.37; 'being': 0.38; 'driving': 0.38; 'to:addr:python- list': 0.38; 'fact': 0.38; 'pm,': 0.38; 'sure': 0.39; 'to:addr:python.org': 0.39; 'how': 0.40; 'even': 0.60; 'ian': 0.60; 'real': 0.63; '20,': 0.68; 'containing': 0.69; '2015': 0.84; '"how': 0.91; 'contents.': 0.91 DKIM-Signature: v=1; a=rsa-sha256; c=relaxed/relaxed; d=gmail.com; s=20120113; h=mime-version:in-reply-to:references:from:date:message-id:subject:to :content-type:content-transfer-encoding; bh=pTHzTkoL4YpgermBIfMSnBZEJaxja+Vf2xwh/ihT51o=; b=jhPhdC9om8IOdqWzoHye2WV2081SnpYIWf3G3OqtwyMP254IhXDtUc3ttTnek7pu5w rdubHxxEJwyyJQr2V/X9V0/rdDTQkByIzOSfUeuw7F8lC0NFrctLxnkhz411M3fTBJ3f khi+eLLbqsaNvs4JXVYr+UVHI2Z6MGgOoGyqI5vQyCUv2Uw9suAoTQzrwXhzRRC6i3E2 /oodQIXeJbgDS6UJJt1m0rTS5kX8+U8V08sCd0a2RqXKN9O+u2eS6yj27n6rUMdErUsQ iccf6oGWs9loM2IjZf7cbUPEpYmbsIN9DxtzENIO02+GeW99evsvmY+gq7kVS8SRoSBI ylhA== X-Received: by 10.68.237.2 with SMTP id uy2mr58188161pbc.72.1421909804370; Wed, 21 Jan 2015 22:56:44 -0800 (PST) MIME-Version: 1.0 In-Reply-To: References: From: Ian Kelly Date: Wed, 21 Jan 2015 23:56:03 -0700 Subject: Re: Trees To: Python Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: quoted-printable 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: 29 NNTP-Posting-Host: 2001:888:2000:d::a6 X-Trace: 1421910194 news.xs4all.nl 2856 [2001:888:2000:d::a6]:39158 X-Complaints-To: abuse@xs4all.nl Xref: csiph.com comp.lang.python:84202 On Wed, Jan 21, 2015 at 10:20 PM, Rustom Mody wrote= : > On Thursday, January 22, 2015 at 4:25:03 AM UTC+5:30, Ian wrote: >> On Tue, Jan 20, 2015 at 6:23 PM, Rustom Mody wrote: >> > The Haskell is bullseye=C2=B9 in capturing the essense of a tree becau= se >> > conceptually a tree of type t is recursive in the sense that it can co= ntain >> > 2 subtrees -- (B x lst rst) -- or its a base case -- L x. >> >> How do you create a tree containing an even number of elements under >> this constraint? > > Not sure what you are asking... > > [And a text only group makes discussing pictur-esque things hard] > What do you mean by 'element'? > Leaf? Internal? Either? By "element" I mean an individual datum contained in the tree. Likewise the elements of a list are its contents. Since each element is associated with a node, the question could equally be phrased as "How do you create a tree containing an even number of elements under this constraint?" The point I was driving at is that the definition is incomplete -- in addition to being an internal node or a leaf, a tree can also be empty. In fact I would suggest that an empty tree should be the real base case, since what is a leaf node but a node where both of its children are empty trees?