## The Qualifying Round

In order to qualify for the elimination rounds of the tournament, players
must pass a qualifying round, which follows the preliminary rounds.
The number of people who pass the qualifying round will be a power of 2, or
thereabouts, to minimize the number of elimination rounds that will take place
with an odd number of players.

All winners of the qualifying round will move on to the elimination rounds.
Additionally, as many of the top-ranked losers that will boost the number of
qualified players to a power of two will also move on.

As an example, let's say there were 20 total players competing in the
qualifying round. 16 (the highest power of 2 less than 20) players will be
permitted to move on to the elimination rounds.

Of the 20 players, 10 will win the qualifying battle, and 10 will lose. The
10 winners will move on, leaving six more players to qualify. The six
top-ranked losers will qualify, and only the bottom four will be eliminated.

Note that in the case of a tie for the last qualifying spot (in the example
above, a tie for 6th place among the losers of the qualifying round), then
*none* of the players in the tie will qualify. This means that there
might be fewer than 16 players who qualify for the tournament, in which case
one or more of the initial elimination rounds will take place with an odd
number of people. Even if this happens, however, the number of odd rounds
will typically be few in number.

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