You’re saying this (and targeting Putnam 100 as a high schooler) based on coming in the top 500 in a country with one fifth of the US population whose IMO team hasn’t made podium since 1981?
I think you might wanna check your math.
British Math Olympiad (Top 500 in the UK)
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In order to round this out, should I just aim to get t100 in the Putnam?