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Unique and restricted (Posted on 2023-09-06) Difficulty: 3 of 5
I searched in the English dictionary the words that complete the alphametics

eleven + eleven = ?

in such a way that the solution is unique.
BTW - unique was one of the words that would fit!

There was a long list of potential candidates, so I decided to limit my choices by using only the letters that are not a part of the word eleven, e.g. circuit.
I leave it to you to find a non-esoteric word without any of the ELVN letters. Enjoy!

See The Solution Submitted by Ady TZIDON    
Rating: 5.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re: No Subject | Comment 10 of 12 |
(In reply to No Subject by Ady TZIDON)

UNIQUE shares both N and E with ELEVEN, and thus disqualified it.


It does indeed have a unique solution:

ELEVEN = 414542 ; UNIQUE =  829084

clearvars,clc
digs='0123456789';
lets='elvnuiq';
idx=combinator(10,7,'p');
digsets=digs(idx);
for i=1:length(digsets)
  digset=digsets(i,:);
  if digset(1)~='0' && digset(5)~='0'
    w1='eleven'; w2='unique';
    for j=1:length(lets)
      w1=strrep(w1,lets(j),digset(j));
      w2=strrep(w2,lets(j),digset(j));
    end
    n1=str2double(w1);
    n2=str2double(w2);
    if 2*n1==n2
      disp([n1 n2])
    end
  end
end

  Posted by Charlie on 2023-09-07 10:06:53
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