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Rose-Innes are Squares (Posted on 2024-01-21) Difficulty: 3 of 5
The two words in the name of ROSE-INNES are squares,while OR is a prime number.

What are these numbers?

See The Solution Submitted by K Sengupta    
Rating: 5.0000 (1 votes)

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Solution computer solution Comment 2 of 2 |
clearvars
lets='rosein    ';
lets=uniqueperms(lets);

for i=1:length(lets)
  code=lets(i,:);
  rose=str2double(translate('rose',code));
  sr=round(sqrt(rose));
  if sr*sr==rose
    code=lets(i,:);
    innes=str2double(translate('innes',code));
    sr=round(sqrt(innes));
    if sr*sr==innes
      disp([rose innes])
    end
  end
end

function tr=translate(a,code)
  b=zeros(1,length(a));
  for i=1:10
    c=code(i);
    idx=a==c;
    b(find(idx))=char(string(i-1));
  end
  tr=char(b);
end

finds

        rose       innes

        9216       53361
        2916       53361
        
29 is a prime, but 92 is not, so rose is 9216 and 53361 is innes.     

  Posted by Charlie on 2024-01-21 10:21:13
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