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239 Open Math Olympiad
2012 239 Open Mathematical Olympiad
1
1
Part of
2012 239 Open Mathematical Olympiad
Problems
(1)
10x10 chessboard
Source: 239 2012 S1
7/30/2020
On a
10
×
10
10 \times 10
10
×
10
chessboard, several knights are placed, and in any
2
×
2
2 \times 2
2
×
2
square there is at least one knight. What is the smallest number of cells these knights can threat? (The knight does not threat the square on which it stands, but it does threat the squares on which other knights are standing.)
combinatorics