I solved it the following way:
I solved it the following way:
11. Determine wins and losses:
Spain won all the games to zero
-> 3 * 3 = 9 points
Now we have 3 games left to conclude:
Italy won one game and drew the other: 1 * 3 + 1 * 1 = 4
Croatia drew both games: 2 * 1 = 2
Albania drew one and lost the other: 1 * 1 = 1
2. Which games were wins, which were losses?
Both Croatia games were draws. So for Italy and Albania, the result of the other games were the ones still missing, which leads to:
Croatia vs. Albania: Draw
Croatia vs. Italy: Draw
Italy vs. Albania: Italy wins
3. Find out one result and deduct the rest:
The easiest here is to look at the two draws, i.e. Croatia vs. Albania and Croatia vs. Italy, as they are dependent on the total goals Croatia shot (the sum of goals has to be 3).
Lets look at Croatia vs. Albania and Croatia vs. Italy.
a) If Croatia vs. Albania = 0:0, then Croatia vs. Italy = 3:3
b) If Croatia vs. Albania = 1:1, then Croatia vs. Italy = 2:2
c) If Croatia vs. Albania = 2:2, then Croatia vs. Italy = 1:1
d) If Croatia vs. Albania = 3:3, then Croatia vs. Italy = 0:0
From each of these games we can deduct the result of Italy vs. Albania, as we have to only fill up the goals shot and received by both teams.
a) Then Italy vs. Albania = 0:3. This cannot be, because Italy has to win this game
d) Then Italy vs. Albania = 3:0. This cannot be, because then Albania got 6 goals shot against, which is wrong
b) Then Italy vs. Albania needed to be 1:3. This cannot be, because Italy has to win this game.
c) Then Italy vs. Albania = 2:1 => This works so far.
4. We have to fill up the Spain games with the goals left, that were shot against each team.
Spain vs. Italy: 1:0
Spain vs. Croatia: 3:0
Spain vs. Albania: 1:0
5. To sum it up:
Spain vs. Italy: 1:0
Spain vs. Croatia: 3:0
Spain vs. Albania: 1:0
Croatia vs. Albania: 2:2
Croatia vs. Italy 1:1
Italy vs. Albania: 2:1
