MathDB

Two people play the following game: there are

40

cards numbered from

1

10

with

4

different signs. At the beginning they are given

20

cards each. Each turn one player either puts a card on the table or removes some cards from the table, whose sum is

15

. At the end of the game, one player has a

5

and a

3

in his hand, on the table there's a

9

, the other player has a card in his hand. What is it's value?

Problem Statement