
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Two people play the following game: there are  $40$  cards numbered from  $1$  to  $10$  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?

Present the answer in LaTex format: \boxed{Your answer}
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