Difference between revisions of "2015 USAMO Problems/Problem 3"

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

Revision as of 19:21, 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=