3rd:Solution of Alphametic Puzzles

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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. A Hungarian example is


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.


NINETEEN + THIRTEEN + THREE + 2*TWO+ 3*ONE = FORTYTWO


is a more complicated English doubly true cryptarithm.


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. Englishdoublytrue.jpg --Frank 09:38, 5 January 2011 (CET)

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