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What is the greatest number of balls of radius 1/2 that can be placed within a rectangular box of size 10 \times 10 \times  1 \ ?

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#NaslovOznakeRj.KvalitetaTežina
1223IMO Shortlist 1966 problem 400
1225IMO Shortlist 1966 problem 420
1228IMO Shortlist 1966 problem 450
1229IMO Shortlist 1966 problem 460
1231IMO Shortlist 1966 problem 480
1233IMO Shortlist 1966 problem 500