Difference between revisions of "1985 OIM Problems/Problem 5"
(Created page with "== Problem == To each positive integer <math>n</math> we assign an integer non-negative <math>f(n)</math> such that these conditions are satisfied: (i) <math>f(rs)=f(r)+f(s)<...") |
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Find <math>f(1985)</math>. Justify your answer. | Find <math>f(1985)</math>. Justify your answer. | ||
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| + | ~translated into English by Tomas Diaz. ~orders@tomasdiaz.com | ||
== Solution == | == Solution == | ||
{{solution}} | {{solution}} | ||
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| + | == See also == | ||
| + | https://www.oma.org.ar/enunciados/ibe1.htm | ||
Revision as of 12:25, 13 December 2023
Problem
To each positive integer 
we assign an integer non-negative 
such that these conditions are satisfied:
(i) 
(ii) 
, when the unit digit of is 3
(iii) 
Find 
. Justify your answer.
~translated into English by Tomas Diaz. ~orders@tomasdiaz.com
Solution
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