Difference between revisions of "2015 USAMO Problems/Problem 3"
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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. | ||
| + | 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=
