Three players
![A,B](/media/m/7/1/7/7174f8a9f33236ee137c01b144237389.png)
and
![C](/media/m/5/a/b/5ab88f3f735b691e133767fe7ea0483c.png)
play a game with three cards and on each of these
![3](/media/m/b/8/2/b82f544df38f2ea97fa029fc3f9644e0.png)
cards it is written a positive integer, all
![3](/media/m/b/8/2/b82f544df38f2ea97fa029fc3f9644e0.png)
numbers are different. A game consists of shuffling the cards, giving each player a card and each player is attributed a number of points equal to the number written on the card and then they give the cards back. After a number
![(\geq 2)](/media/m/5/2/a/52a36147888abdea751e17a67d4a2f0e.png)
of games we find out that A has
![20](/media/m/1/1/e/11e1c5de3460c5571469b3ff0f222b7e.png)
points,
![B](/media/m/c/e/e/ceebc05be717fa6aab8e71b02fe3e4e3.png)
has
![10](/media/m/5/b/e/5beb46430dbe2d22c0f8289c36a92c84.png)
points and
![C](/media/m/5/a/b/5ab88f3f735b691e133767fe7ea0483c.png)
has
![9](/media/m/7/f/0/7f02ff2403dbf63ddc4395762441de88.png)
points. We also know that in the last game B had the card with the biggest number. Who had in the first game the card with the second value (this means the middle card concerning its value).
%V0
Three players $A,B$ and $C$ play a game with three cards and on each of these $3$ cards it is written a positive integer, all $3$ numbers are different. A game consists of shuffling the cards, giving each player a card and each player is attributed a number of points equal to the number written on the card and then they give the cards back. After a number $(\geq 2)$ of games we find out that A has $20$ points, $B$ has $10$ points and $C$ has $9$ points. We also know that in the last game B had the card with the biggest number. Who had in the first game the card with the second value (this means the middle card concerning its value).