Difference between revisions of "3rd:Solution of Alphametic Puzzles"
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[http://users.atw.hu/franknagy/Tipp/Alphametic/index.html The solution alphametic puzzles on my homepage] | [http://users.atw.hu/franknagy/Tipp/Alphametic/index.html The solution alphametic puzzles on my homepage] | ||
[ | [http://www.cadaeic.net/alphas.htm The alphametic puzzles] are the generalizations of the puzzles of type | ||
SEND+MORE=MONEY | SEND+MORE=MONEY | ||
You have to substitute same numbers for the same letters, different numbers for the different letters. | You have to substitute same numbers for the same letters, different numbers for the different letters. | ||
Their special forms are the [ | Their special forms are the [http://www.mathematik.uni-bielefeld.de/~sillke/PUZZLES/ALPHAMETIC/alphametic-mike-keith.html#doub doubly true] puzzles. | ||
TÍZ+TÍZ=HÚSZ | TÍZ+TÍZ=HÚSZ | ||
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[http://users.atw.hu/franknagy/Tipp/Alphametic/soap.chm The help file written using VAHELP] | [http://users.atw.hu/franknagy/Tipp/Alphametic/soap.chm The help file written using VAHELP] | ||
[http://software.informer.com/getfree-vahelp-helpmaker/ VAHELP Help Maker] | [http://software.informer.com/getfree-vahelp-helpmaker/ VAHELP Help Maker] | ||
''I intended to follow the human way of the thinking instead of brute force full trial and error of all possible letter-digit matching. The program uses rules of divisibilty and comparision of mininal and maximal values of the left and right sides of the equations.'' | |||
--[[User:Ferenc Nagy|Frank]] 09:38, 5 January 2011 (CET) | --[[User:Ferenc Nagy|Frank]] 09:38, 5 January 2011 (CET) | ||
Revision as of 09:47, 5 January 2011
The solution alphametic puzzles on my homepage The alphametic puzzles are the generalizations of the puzzles of type
SEND+MORE=MONEY
You have to substitute same numbers for the same letters, different numbers for the different letters. Their special forms are the doubly true puzzles. TÍZ+TÍZ=HÚSZ
where the words for added numbers in a certain language form true sentence. TÍZ=ten in Hungarian, HÚSZ=twenty in Hungarian. TEN=TEN=TWENTY has no solution in English.
German example: 2*SECHS=ZWOELF. In order accept Russian puzzles the program accepts Unicode input and writes Unicode output. Prolog version: VIP 7.2 PE. The help file written using VAHELP VAHELP Help Maker
I intended to follow the human way of the thinking instead of brute force full trial and error of all possible letter-digit matching. The program uses rules of divisibilty and comparision of mininal and maximal values of the left and right sides of the equations. --Frank 09:38, 5 January 2011 (CET)