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Closest to two dozens (Posted on 2024-04-24) Difficulty: 3 of 5
Remember “Unique and restricted” ? ,b (pid=13696)
There I have asked for a restricted answer to an alphametic puzzle and got a set of many words.

Now I have fiddled with a similar equation and again will allow only answers not using any of the letters appearing in “TWELVE”.

TWELVE + TWELVE = (Oompha, grubby, payoff, droppy ….et al)

Your task is to find an answer to my puzzle such that adding the numerical values of all 6 letters in the word chosen by you (a long list of candidate solutions) will be closest to 24.

Start your chase.
Good luck!

No Solution Yet Submitted by Ady TZIDON    
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re(2): stats | Comment 15 of 20 |
(In reply to re: stats by Ady TZIDON)

The analysis did not consider words at all; remember that. It only considered all the possible doubling of each number from 100000 to 999999. In 872784 of these numbers, the digits did not conform to the pattern of TWELVE.  Of the remaining 27216 cases, in 27049 of them, some of the digits in the total (that is, twice the number represented by TWELVE) matched digits in the number being doubled. That leaves only the 167 cases analyzed.


There is no case where any of the actual additions of numeric numbers that met the criteria of the addends matching the pattern of TWELVE, and the total not sharing any digit with the addends had more than five distinct digits.  Regardless of any word data base, even if we had words of 6 or 7 letters with at least 6 distinct letters, none of those could match a valid solution, because in all valid additions there is no set of 6 distinct digits in the sum.

  Posted by Charlie on 2024-04-26 07:27:32
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