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TOT 463 1995 Autumn J O1 min questions to find if P lies inside a square

Source:

July 9, 2024
geometrycombinatorial geometrycombinatorics

Problem Statement

A square is placed in the plane and a point PP is marked in this plane with invisible ink. A certain person can see this point through special glasses. One can draw a straight line and this person will say on which side of the line the point PP lies. If PP lies on the line, the person says so. What is the minimal number of questions one needs to find out if PP lies inside the square or not?
(Folklore)