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IOL 2013 Problem #5 Telepathy

In a series of experiments run in Carnegie Mellon University (Pittsburgh, USA) in 2010, volunteers were first shown some English words, while activity was being registered in different locations of their brains. Then the volunteers were asked to think of some other words from a preselected list of 60 words, while the researchers were measuring their brain activity again. Using the obtained data, the researchers were able to determine the words the volunteers were thinking of quite successfully. Below you can find some data on the activity levels for four brain locations depending on which word the volunteers were thinking of.

Word Translation Location A Location B Location C Location D
airplane airplane high low low high
apartment apartment high low low high
arm arm low high low low
corn corn low low high low
cup cup low low high low
igloo igloo high low low low
key key high high low low
lettuce lettuce low low high high
screwdriver screwdriver low high low high

The same information is given below on six more words the volunteers were thinking of: bed bed, butterfly butterfly, cat cat, cow cow, refrigerator refrigerator, spoon spoon.

Word Location A Location B Location C Location D
1 low low high high
2 low low high low
3 high low low low
4 low low low high
5 low high high low
6 low low low low

Determine the correct correspondences.

—Boris Iomdin