Autumn is Bigger Than Any Other Season
This is my entry to the Autumn Seasonal Problems Contest 2019.
Different letters represent different digits, while the same letter represents the same digit. Find the sum of all the digits in the cryptharithm below. If you think that there is no solution, answer 0. If you think that there are two or more solutions, find the number of solutions.
W I N T E R
S P R I N G
+S U M M E R
____________
A U T U M N
Note: This is a SAMPLE entry only. Please don’t include this in the actual problem.
The answer is 0.
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1 solution
You can see that there are 12 letters: W, I, N, T, E, R, S, P, G, U, M, A. There are only 10 digits, but if there is ever a solution, it makes us say that there are at least 12 digits, a contradiction to the known fact.