Reply to Re: I gave up to the Computers National Olimpiad
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I didn't know Andreescu was Romanian, but yeah, I think he's still in charge of the US team.
How long did you have for those questions? USAMO is 8 hours for 6 questions, but the questions are definitely harder (or at least less conventional.)
EDIT: I can do questions 1, 3, and 4. My trick for 4 is, set:
h(x) = x * g(x)
Then for some a,b with a+b=1, h(x) = h(ax)+h(bx). This is an easier relation to deal with, although you still need the continuity of h(x)/x, of course.
How long did you have for those questions? USAMO is 8 hours for 6 questions, but the questions are definitely harder (or at least less conventional.)
EDIT: I can do questions 1, 3, and 4. My trick for 4 is, set:
h(x) = x * g(x)
Then for some a,b with a+b=1, h(x) = h(ax)+h(bx). This is an easier relation to deal with, although you still need the continuity of h(x)/x, of course.
