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devel / comp.lang.prolog / Re: There is no Zero in Mathematics Digits Riddle

There is no Zero in Mathematics Digits Riddle

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Subject: There is no Zero in Mathematics Digits Riddle
From: bursejan@gmail.com (Mostowski Collapse)
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by: Mostowski Collapse - Tue, 21 Sep 2021 18:40 UTC

Its nearly autumn. Time to refresh your Prolog or CLP(FD) skills.

This gives me:

?- X is 10^10//81-1.
X = 123456789.

So the expression delivers a number with all non-zero
digits. Is there another formula that delivers all digits,
possibly permuted, where the formula itself has no zero in it?

Re: There is no Zero in Mathematics Digits Riddle

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Subject: Re: There is no Zero in Mathematics Digits Riddle
From: bursejan@gmail.com (Mostowski Collapse)
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by: Mostowski Collapse - Tue, 21 Sep 2021 19:21 UTC

SWI-Prolog gives me:

?- use_module(library(clpfd)).
true.
 
?- [D1,D2,D3,D4,D5,D6,D7,D8,D9] ins 1..9,
[A,B,C] ins 2..9\/11..15,
A^B*C #= (((((((D1*10+D2)*10+D3)*10+D4)*10+D5)*10+D6)*10+D7)*10+D8)*10+D9,
all_different([D1,D2,D3,D4,D5,D6,D7,D8,D9]),
label([A,B,C,D1,D2,D3,D4,D5,D6,D7,D8,D9]).
D1 = C, C = 9,
D2 = 4,
D3 = 8,
D4 = B, B = 7,
D5 = 2,
D6 = 1,
D7 = 5,
D8 = 3,
D9 = 6,
N = 948721536,
A = 14 ;
false.
 
?- X is 14^7*9.
X = 948721536.

LoL

Mostowski Collapse schrieb am Dienstag, 21. September 2021 um 20:40:19 UTC+2:
> Its nearly autumn. Time to refresh your Prolog or CLP(FD) skills.
>
> This gives me:
>
> ?- X is 10^10//81-1.
> X = 123456789.
>
> So the expression delivers a number with all non-zero
> digits. Is there another formula that delivers all digits,
> possibly permuted, where the formula itself has no zero in it?

Subject	Author
There is no Zero in Mathematics Digits Riddle	Mostowski Collapse
Re: There is no Zero in Mathematics Digits Riddle	Mostowski Collapse