Meanwhile, in the hotel at the Group 9 playing stage.
Adam: (it's 15:49 already, and he is still next to the referee... No one has given their paper to the referee, because no.36 could easily see who played and what, it's like... cheating, but it's not?)
Number 36 (They really are not going to do anything? This game will be an even easier win than I thought!)
Adam (I know what I will do, I'm sure others are thinking the same, but if I give my card down in the last moment, then he will not have much time to think about the best possible move for him)
Number 36 (They all think of putting their cards at the last possible moment's right? Don't they think it's a little problematic?)
Meanwhile, at Group 23
Referee: Attention! Only 1 minute left from the first round! Everyone to the main hall!
Greg (I wonder about the outcome, if I am right, then what I thought is most likely true)
Tomi (With the strategy of mine will not just give me the information about which team I am in, but my team will have more points than the other one)
Referee: The results will be shown on the giant monitor up there!
The monitor shows:
Group-23_Round 1:
Team A ---> 4 points
Team B ---> 4 points
Tomi (What? No, this should not have happened! How?)
Greg (Tomi seems confused! He is trying to hide it but it's obvious, I'm sure my theory is correct)
Referee: Attention! The next round deadline will be at 16:00 tomorrow!
Tomi (Then I must do everything I can! Huh? Everyone already went back to their room? Then I will wait here a little, I won't let anyone ruin my plan!)
Midnight, in the hallway, Tomi is waiting for someone, when Lucas finally arrives, a few minutes later as they negotiated before:
Tomi: So you are here, Lucas. As we discussed before. You will watch me play the +1 card and I will watch you play the +3 card.
Lucas: Yes, also I want to sleep already, so please hurry.
After they played their cards Lucas left but Tomi stayed down.
Tomi: So referee, as you said, I can ask my card back right?
Referee: Huhuhu, of course, here it is.
the referee gives it back to Tomi
In the morning, before the alarm goes off.
Tomi: Hello, Samuel. Hurry and do the thing and get back to our room before others wake up and notice us. We don't want them to realise we collude.
Samuel slowly looks at Tomi and nods.
Samuel: I wanted to say the same.
After that Tomi went back to his room too
Tomi: They guaranteed played +3. I don't think they would think something like asking back the card you already played. The one who did not accept the offer is Greg. So if the same thing happens, then I know that Greg was the one who betrayed me. But really, I'm pretty sure he is the one who did.
It's already time! 16:00!
Referee: the results of the second will be shown.
The monitor shows:
Group-23_Round 2:
Team A ---> 8 points
Team B ---> 8 points
Tomi (So Greg was it indeed! This is for sure! Now I know I'm either with Samuel or Lucas!)
A couple hours later, Tomi catches Lucas when he is outside of his room, trying to continue the teamwork with someone
Lucas: No, you plan to repeat it forever? You said it will lead to victory, but nothing happened! (walks away)
Tomi (I have to find Samuel, I need him to work with me, otherwise my plan is ruined...)
(Few hours later)
Tomi (Damn it, Where is that Samuel?!)
Samuel: hey! Tomi!
Tomi: What?
Samuel: No one is here, can we already do what we did last time? I don't want to wake up that early like last time.
Tomi: y- yeah, of course! Yeah! Do it right now!
Samuel: So I play +3, and you play +1 again, right?
Tomi: Yeah, just like that.
The night has come, someone knowcks at Greg's door. Soon after he opens it
Greg: Yeah?
Lucas: So... How early in the morning should I do it?
Greg: Oh, it does not really matter. Just do it so Tomi will see it, and if possible, do not look for me at all tomorrow, I will only come out of my room at 16:00 precisely for the announcements of the results.
Lucas: O-okay then... I get it...
Next day, in the morning.
Tomi walks out of his room, down to the stairs, as he sees Lucas at the referee.
Tomi: Is he making his play now? Whatever.
Then as the time hit 16:00
Greg suddenly appears, first time that day.
Tomi: Finally decided to show up?
Greg: It's results announcement time after all.
The third round has come to an end already!
Referee: Attention to the monitor, the results of the third round are!
The monitor shows:
Group-23_Round3:
Team A ---> 12 points
Team B ---> 9 points
Tomi (WAIT!!! YES!! That means I am with Samuel in team A!)
Logic --> Tomi played +1 and saw Samuel playing a +3, Team A gained 4 points that already means a +3 and +1 combo. Team B gained 1 point meaning that they used only a +1 once. Tomi also saw Lucas play his card, unlike Greg, who doesn't even show up that day at all. From this, we know only Samuel used a +3 - Lucas must have used a +1, because Tomi already knows he cannot be with Greg, which means Samuel cannot be with Lucas either - Samuel is either with Tomi or Greg - but since Greg didn't even show up, he has to be the one who did not played a card at all, which would mean if Samuel was with Greg, then Team A would have gained only 3 points instead of 4. Therefore, Tomi and Samuel are teammates, in Team A!