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1 ... Let the northern team have X teams and the southern team have x+9 teams.

All teams have to be divided.

C22x+9

=

(2x+9)(2x+8)2

=(2x+9)(x+4)

The southern team must be divided into

9 10

(2x+9)(2x+8)2

=

9(x+9)(x+4) 10

Northern teams are always divided into

(2x+9)(x+4) 10

The total score of internal games of southern teams is Cx+92.

The total score of the internal match of the Northern Team is Cx2.

(2x+9)(x+4) 10

-

x(x- 1)2

≥0

Solution:

1 1-

2293

≤x≤

1 1+

2293