Art of Problem Solving

2015 USAMO Problems/Problem 3: Difference between revisions

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===Solution===
===Solution===
Define function: C(T)=1 if the set T is colored blue, and C(T)=0 if T is colored red.
Define the Core=intersection of all T whose C(T)=1. The empty set is denoted as Nil.
If Core=

Revision as of 18:21, 13 May 2015

Solution

Define function: C(T)=1 if the set T is colored blue, and C(T)=0 if T is colored red. Define the Core=intersection of all T whose C(T)=1. The empty set is denoted as Nil.

If Core=