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ASU 275 All Soviet Union MO 1979 checkers in chessboard

Source:

July 14, 2019
Chessboardminimumcombinatorics

Problem Statement

What is the least possible number of the checkers being required
a) for the 8×88\times 8 chess-board,
b) for the n×nn\times n chess-board,
to provide the property:
Every line (of the chess-board fields) parallel to the side or diagonal is occupied by at least one checker ?
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