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 7+8=12 ?? (Posted on 2016-11-30)
Although the alphametic SEVEN+EIGHT=TWELVE conveys a false message, it has several (how many?) valid solutions.

Find the one with the largest W.

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 little program solution | Comment 2 of 3 |
In a total of 6 solutions, the largest W (= 5) is in

69298 + 90431 = 159729,

that is next to the last one:
`---------Solutions---------| ?- jm([S,E,V,N,I,G,H,T,W,L],[]).        SEVEN        36465  +     EIGHT        69781  =    TWELVE       106246E = 6,G = 7,H = 8,I = 9,L = 2,N = 5,S = 3,T = 1,V = 4,W = 0 ? ;        SEVEN        38487  +     EIGHT        89561  =    TWELVE       128048E = 8,G = 5,H = 6,I = 9,L = 0,N = 7,S = 3,T = 1,V = 4,W = 2 ? ;        SEVEN        58287  +     EIGHT        80641  =    TWELVE       138928E = 8,G = 6,H = 4,I = 0,L = 9,N = 7,S = 5,T = 1,V = 2,W = 3 ? ;        SEVEN        63732  +     EIGHT        39841  =    TWELVE       103573E = 3,G = 8,H = 4,I = 9,L = 5,N = 2,S = 6,T = 1,V = 7,W = 0 ? ;        SEVEN        69298  +     EIGHT        90431  =    TWELVE       159729E = 9,G = 4,H = 3,I = 0,L = 7,N = 8,S = 6,T = 1,V = 2,W = 5 ? ;        SEVEN        85254  +     EIGHT        50671  =    TWELVE       135925E = 5,G = 6,H = 7,I = 0,L = 9,N = 4,S = 8,T = 1,V = 2,W = 3 -------Program-------jm([S,E,V,N,I,G,H,T,W,L],Type) :-	domain([S,E,V,N,I,G,H,T,W,L],0,9),	S#>0,E#>0,T#>0,	all_different([S,E,V,N,I,G,H,T,W,L]),	sum(S,E,V,N,I,G,H,T,W,L),	labeling(Type,[S,E,V,N,I,G,H,T,W,L]).	sum(S,E,V,N,I,G,H,T,W,L) :-				10000*S + 1000*E + 100*V + 10*E + N	+			10000*E + 1000*I + 100*G + 10*H + T	#=	100000*T +	10000*W + 1000*E + 100*L + 10*V + E.`

 Posted by ollie on 2016-12-02 16:22:04

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