Difference between revisions of "2017 IMO Problems/Problem 5"
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Revision as of 22:41, 2 August 2020
An integer 
is given. A collection of 
soccer players, no two of whom are of the same height, stand in a row. Sir Alex wants to remove 
players from this row leaving a new row of 
players in which the following 
conditions hold:
(
) no one stands between the two tallest players,
(
) no one stands between the third and fourth tallest players,
() no one stands between the two shortest players.
Show that this is always possible.
