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1970 All Soviet Union Mathematical Olympiad
132
132
Part of
1970 All Soviet Union Mathematical Olympiad
Problems
(1)
ASU 132 All Soviet Union MO 1970 rearranging 17-digit number
Source:
6/24/2019
The digits of the
17
17
17
-digit number are rearranged in the reverse order. Prove that at list one digit of the sum of the new and the initial number is even.
number theory
Digits
17-digit