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Recursive reaches one million (Posted on 20190815) 

Define a function f mapping positive integers to positive integers by f(1)=1, and f(n)=f(n1)+n if f(n1)<=n
and f(n)=f(n1)n if f(n1)>n
For n≥2,
i) Find the smallest integer n such that f(n) = 1,000,000
ii) Find the smallest integer n such that f(n) = 2,000,000
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