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MathGroup Archive 2005

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Re: Finding extra digit

  • To: mathgroup at smc.vnet.net
  • Subject: [mg54015] Re: Finding extra digit
  • From: Bill Rowe <readnewsciv at earthlink.net>
  • Date: Mon, 7 Feb 2005 03:13:11 -0500 (EST)
  • Sender: owner-wri-mathgroup at wolfram.com

On 2/6/05 at 12:44 AM, steve_usenet at _removemefirst_luttrell.org.uk
(Steve Luttrell) wrote:

>This example does the sort of thing you want:

>Define a couple if integers differing by one digit.
>In[1]:={n1,n2}={1234567,1234568};

>Split the integers into their component digits. In[2]:=
>{d1,d2}=Map[IntegerDigits,{n1,n2}] Out[2]=
>{{1,2,3,4,5,6,7},{1,2,3,4,5,6,8}}

>Find the digits the integers have in common In[3]:=
>i=Intersection[d1,d2] Out[3]= {1,2,3,4,5,6}

>Find which digits of n2 do NOT lie in the above common set. In[4]:=
>Complement[d2,i] Out[4]= {8}

This will not work in general. For example, condider n1 = 811 and n2 =818. The two integers differ by one digit. But since both are composed from the same digits, there are no unique digits in either number.
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