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Csaba stands in the middle of a 15 x 15 m room

Source: (2021-) 2022 XV Dürer Math Competition Finals Day2 E2

December 1, 2022
geometry

Problem Statement

Csaba stands in the middle of a 1515 m ×15\times 15 m room at a workplace where everyone strictly adheres to 1,51,5 m social distancing. At least how many people are there other than Csaba in the room if Csaba cannot reach any wall without the others moving? The people are viewed as points.