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1964 All Russian Mathematical Olympiad
043
043
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1964 All Russian Mathematical Olympiad
Problems
(1)
ASU 043 All Russian MO 1964 8.3 sum of digits
Source:
6/18/2019
Given
1000000000
1000000000
1000000000
first natural numbers. We change each number with the sum of its digits and repeat this procedure until there will remain
1000000000
1000000000
1000000000
one digit numbers. Is there more "
1
1
1
"-s or "
2
2
2
"-s?
number theory