TOT 322 1992 Spring O J3 coins in a one-layer box
Source:
June 9, 2024
combinatoricscombinatorial geometry
Problem Statement
A numismatist Fred has some coins. A diameter of any coin is no more than cm. All the coins are contained in a one-layer box of dimensions cm by cm. He is presented with a new coin. Its diameter is cm. Prove that it is possible to put all the coins in a one-layer box of dimensions cm by cm.(Fedja Nazarov, St Petersburg)