Given that each distinct letter of the alphabet represents a distinct digit, find the values of the different letters so that the given equation is satisfied:
M A R S
+ V E N U S
+ U R A N U S
+ S A T U R N
----------------
N E P T U N E
----------------
The letter to digit assignment of the given alphametic is as follows:
+----------------------------------------------------------+
| E N V S M A U P T R |
+-----------------------------------------------------------+
| 0 1 2 3 4 5 6 7 8 9 |
+-----------------------------------------------------------+
Accordingly, we have:
M A R S 4 5 9 3
V E N U S 2 0 1 6 3
U R A N U S 6 9 5 1 6 3
S A T U R N 3 5 8 6 9 1
------------------------------ ------------------------------
N E P T U N E 1 0 7 8 6 1 0
I sincerely hope to posit an analytical derivation of the foregoing in future.
Puzzle Answer
