Frequently Asked Questions...
Solve or modify this Star Wars cryptharithm to have a solution?
Your frivolous cryptarithm for the day is:
_DARTH
+VADER
+LIGHT
+SABER
======
ANAKIN
Each letter corresponds to a digit (0-9), but there are 15 letters so the correspondence is non-unique {'ABDEGHILNKRSTV'}.
I suspect this one isn't solvable, but you can modify it in any suitable mathematical or Star-Wars way to get one that is solvable.
Maybe e.g.
ANAKIN
+LIGHT
+SABER
======
_DARTH
+VADER
Or indeed:
ANAKIN
+LIGHT
+SABER
_+DARK
_+SIDE
======
_DARTH
+VADER
(keeps us to the original 15 letters)
Answer:
Can't solve your first cryptarithm. BTW it has only 14 different letters, not 15.
I have this one, containing each of the 10 digits, for which there is only 1 solution.
STAR
+ WARS
+ DARTH
+ VADER
-------------
WARPED
-------------
2730
+ 1302
+ 83076
+ 43850
-----------
130958
-----------
EDIT: I didn't try hard enough at first, as I've now found a solution to your
question, and it looks like there are lots of them, but I'll just give this one.
DARTH
+ VADER
+ LIGHT
+ SABER
--------------
ANAKIN
--------------
11023
+ 41160
+ 57932
+ 41760
-----------
151875
-----------
where (R = 0), (A,D = 1), (T = 2), (H = 3), (S,V = 4),
(L,N = 5), (E = 6), (B, I = 7), (K = 8), (G = 9).
So we have all 10 digits included with 4 obvious overlaps.
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