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The Liars' Rail
The people of Olde Mathville had unique ways of punishing wayward citizens. For example, those convicted of crimes of dishonesty were chained to the Liars' Rail until they solved a number of puzzles.
One such puzzle has been recently discovered!
In the multiplication below, each letter - L, I, A, R, and S - takes the place of a different digit. Find the digits to make the multiplication true.
L I A R
x S
--------
R A I L
or: L I A R x S = R A I L
Hint:
The product of S x L must be less than 10. Combining that with the need for S x R to end in L limits the possibilities quickly.
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