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
----------------
4 5 9 3
2 0 1 6 3
6 9 5 1 6 3
3 5 8 6 9 1
_________________
1 0 7 8 6 1 0
N is obviously 1, after that by trial and error we deduce that s = 3, and the puzzle works itself out.