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National and Regional Contests
Mexico Contests
Mexico National Olympiad
2004 Mexico National Olympiad
6
6
Part of
2004 Mexico National Olympiad
Problems
(1)
traveling on the edges of a rectangular array of 2004 x 2004
Source: Mexican Mathematical Olympiad 2004 OMM P6
7/31/2018
What is the maximum number of possible change of directions in a path traveling on the edges of a rectangular array of
2004
×
2004
2004 \times 2004
2004
×
2004
, if the path does not cross the same place twice?.
combinatorics
maximum