Name: Anonymous 2014-02-09 0:56
Problem of the week
Suppose f is a function from positive integers to positive integers satisfying f(1)=1, f(2n)=f(n), and f(2n+1)=f(2n)+1, for all positive integers n.
Find the maximum of f(n) when n is greater than or equal to 1 and less than or equal to 1994.
Suppose f is a function from positive integers to positive integers satisfying f(1)=1, f(2n)=f(n), and f(2n+1)=f(2n)+1, for all positive integers n.
Find the maximum of f(n) when n is greater than or equal to 1 and less than or equal to 1994.