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Working together? (Posted on 2024-05-02) Difficulty: 3 of 5
I have searched in an extensive English dictionary to find a matching word, describing a possible cooperation between two prominent politicians:

BIDEN+TRUMP= ???

I have found two reasonable answers.

Can you find them (or more)?

See The Solution Submitted by Ady TZIDON    
Rating: 4.5000 (2 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Solution computer solution | Comment 3 of 7 |
 clearvars
 orders=perms('0':'9');
 pats=string.empty(0);
 for i=1:length(orders)
   biden=str2double(orders(i,1:5));
   trump=str2double(orders(i,6:10));
   total=biden+trump;
   p=lexPattern([orders(i,1:5) orders(i,6:10) num2str(total)]);
   pats(end+1)=string(p);
 end
 [pats idx]=sort(pats);
 orders=orders(idx,:);
 ct=1;
 goodpats=string.empty(0);
 goodords=char.empty(0,10);
 for i=2:length(orders)
   if pats(i)==pats(i-1)
     ct=ct+1;
   else
     if ct==1
       goodpats(end+1)=pats(i-1);
       goodords(end+1,:)=orders(i-1,:);
     end
     ct=1;
   end
 end
 if ct==1
   goodpats(end+1)=pats(end);
   goodords(end+1,:)=orders(end,:);
 end
goodtots=string.empty(0);
for i=1:length(goodpats)
  goodp=char(goodpats(i));
  goodtots(end+1)=string(goodp(11:end));
end

fid=fopen('c:wordswords.txt','r');
sol=string.empty(0);
while ~feof(fid)
  w=fgetl(fid);
  if ismember(length(w) , [5 6])
    if ismember(string(lexPattern(['bidentrump' w])),goodpats)
      sol(end+1)=string(w);
      disp([w ' ' goodords(goodpats==lexPattern(['bidentrump' w]),:)])
    else
      xx=99;
    end
  end
end
fclose('all')

where lexPattern is

function cd=lexPattern(n)
  rp='a';
  ns=char(string(n));
  repl=repmat(' ',1,length(ns));
  for i=1:length(ns)
    if repl(i)==' '
      ix=strfind(ns,ns(i));
      repl(ix)=rp;
      rp=char(rp+1);
    end
  end
  cd=repl;  
end
 
finds five candidates for the total that will give a unique solution:

total  BIDEN TRUMP
       
buppie 12537 94086
redipt 60245 81793
rident 92408 31675
untrim 56093 82174
untrue 94035 62178

where each line shows the word representing the total, followed by the numerical values of BIDENTRUMP. So for example,

  BIDEN    94035
+ TRUMP  + 62178
-------  -------
 UNTRUE   156213

Edited on May 2, 2024, 9:56 am
  Posted by Charlie on 2024-05-02 09:35:21

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