Difference between revisions of "2002 IMO Problems/Problem 1"
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Revision as of 08:00, 10 June 2015
is the set of all with non-negative integers such that . Each element of is colored red or blue, so that if is red and $h′ ≤ h,k′ ≤ k$ (Error compiling LaTeX. Unknown error_msg), then $(h′,k′)$ (Error compiling LaTeX. Unknown error_msg) is also red. A type subset of has blue elements with different first member and a type subset of has blue elements with different second member. Show that there are the same number of type and type subsets.