Skip to main content
added 18 characters in body
Source Link
Joel Rondeau
  • 7.8k
  • 1
  • 33
  • 46

First, let's figure out who won each match...

Spain has 9 points, so they won all 3 matches.
Italy has 4 points and lost to Spain, so they went 1-1-1. Not sure who they beat yet.
Croatia has 2 points and lost to Spain, so they went 0-1-2. So Croatia played to a draw against both Italy and Albania. This means Italy beat Albania.
So the 6 matches were:
Spain (W) - Italy
Spain (W) - Croatia
Spain (W) - Albania
Italy (W) - Albania
Italy (D) - Croatia
Croatia (D) - Albania

Now that we know the outcomes of each match, it's time to figure out the scores. It turns out that Spain is again relatively easy...

Croatia's goal differential is -3 and they played 2 draws, so they lost to Spain by 3 goals. Since Spain didn't allow a goal, we have our first score:
Spain 3 - Croatia 0
Spain scored a total of 5 goals, meaning their other matches were both won 1-0:
Spain 1 - Italy 0
Spain 1 - Albania 0

Now for the other 3 matches, it is simple enough to use the goals and figure out which possibilities work for all 3 teams...

Note: When calculating, I am using the fact that each team scored 3 goals. Then I will use the goals against to check if it's possible.
Croatia's 2 draws involved 3 goals for each side. So they either played
3 - 3 and 0 - 0 or
2 - 2 and 1 - 1
 
Let's assume it's 3-3/0-0. Italy only allowed 2 goals (excluding Spain), so they would have to be the 0-0 game. That makes the 3 games:
Croatia 0 - Italy 0 / Croatia 3 - Albania 3 / Italy 3 - Albania 0.
Goals against for Italy (2) shows this is incorrect. 

So Croatia's games are 2-2 and 1-1, we just need to figure out which is which.
First guess, the 2-2 game is Italy:
Croatia 2 - Italy 2 / Croatia 1 - Albania 1 / Italy 1 - Albania 2.
Italy didn't lose, so this is incorrect. 

Final guess, the 2-2 game is Albania:
Croatia 2 - Albania 2 / Croatia 1 - Italy 1 / Italy 2 - Albania 1.
Everything checks out now.

TLDR:

Spain 3 - Croatia 0
Spain 1 - Italy 0
Spain 1 - Albania 0
Italy 1 - Croatia 1
Italy 2 - Albania 1
Croatia 2 - Albania 2

First, let's figure out who won each match...

Spain has 9 points, so they won all 3 matches.
Italy has 4 points and lost to Spain, so they went 1-1-1. Not sure who they beat yet.
Croatia has 2 points and lost to Spain, so they went 0-1-2. So Croatia played to a draw against both Italy and Albania. This means Italy beat Albania.
So the 6 matches were:
Spain (W) - Italy
Spain (W) - Croatia
Spain (W) - Albania
Italy (W) - Albania
Italy (D) - Croatia
Croatia (D) - Albania

Now that we know the outcomes of each match, it's time to figure out the scores. It turns out that Spain is again relatively easy...

Croatia's goal differential is -3 and they played 2 draws, so they lost to Spain by 3 goals. Since Spain didn't allow a goal, we have our first score:
Spain 3 - Croatia 0
Spain scored a total of 5 goals, meaning their other matches were both won 1-0:
Spain 1 - Italy 0
Spain 1 - Albania 0

Now for the other 3 matches, it is simple enough to use the goals and figure out which possibilities work for all 3 teams...

Note: When calculating, I am using the fact that each team scored 3 goals. Then I will use the goals against to check if it's possible.
Croatia's 2 draws involved 3 goals for each side. So they either played
3 - 3 and 0 - 0 or
2 - 2 and 1 - 1
Let's assume it's 3-3/0-0. Italy only allowed 2 goals (excluding Spain), so they would have to be the 0-0 game. That makes the 3 games:
Croatia 0 - Italy 0 / Croatia 3 - Albania 3 / Italy 3 - Albania 0.
Goals against for Italy (2) shows this is incorrect.
So Croatia's games are 2-2 and 1-1, we just need to figure out which is which.
First guess, the 2-2 game is Italy:
Croatia 2 - Italy 2 / Croatia 1 - Albania 1 / Italy 1 - Albania 2.
Italy didn't lose, so this is incorrect.
Final guess, the 2-2 game is Albania:
Croatia 2 - Albania 2 / Croatia 1 - Italy 1 / Italy 2 - Albania 1.
Everything checks out now.

TLDR:

Spain 3 - Croatia 0
Spain 1 - Italy 0
Spain 1 - Albania 0
Italy 1 - Croatia 1
Italy 2 - Albania 1
Croatia 2 - Albania 2

First, let's figure out who won each match...

Spain has 9 points, so they won all 3 matches.
Italy has 4 points and lost to Spain, so they went 1-1-1. Not sure who they beat yet.
Croatia has 2 points and lost to Spain, so they went 0-1-2. So Croatia played to a draw against both Italy and Albania. This means Italy beat Albania.
So the 6 matches were:
Spain (W) - Italy
Spain (W) - Croatia
Spain (W) - Albania
Italy (W) - Albania
Italy (D) - Croatia
Croatia (D) - Albania

Now that we know the outcomes of each match, it's time to figure out the scores. It turns out that Spain is again relatively easy...

Croatia's goal differential is -3 and they played 2 draws, so they lost to Spain by 3 goals. Since Spain didn't allow a goal, we have our first score:
Spain 3 - Croatia 0
Spain scored a total of 5 goals, meaning their other matches were both won 1-0:
Spain 1 - Italy 0
Spain 1 - Albania 0

Now for the other 3 matches, it is simple enough to use the goals and figure out which possibilities work for all 3 teams...

Note: When calculating, I am using the fact that each team scored 3 goals. Then I will use the goals against to check if it's possible.
Croatia's 2 draws involved 3 goals for each side. So they either played
3 - 3 and 0 - 0 or
2 - 2 and 1 - 1
 
Let's assume it's 3-3/0-0. Italy only allowed 2 goals (excluding Spain), so they would have to be the 0-0 game. That makes the 3 games:
Croatia 0 - Italy 0 / Croatia 3 - Albania 3 / Italy 3 - Albania 0.
Goals against for Italy (2) shows this is incorrect. 

So Croatia's games are 2-2 and 1-1, we just need to figure out which is which.
First guess, the 2-2 game is Italy:
Croatia 2 - Italy 2 / Croatia 1 - Albania 1 / Italy 1 - Albania 2.
Italy didn't lose, so this is incorrect. 

Final guess, the 2-2 game is Albania:
Croatia 2 - Albania 2 / Croatia 1 - Italy 1 / Italy 2 - Albania 1.
Everything checks out now.

TLDR:

Spain 3 - Croatia 0
Spain 1 - Italy 0
Spain 1 - Albania 0
Italy 1 - Croatia 1
Italy 2 - Albania 1
Croatia 2 - Albania 2

Source Link
Joel Rondeau
  • 7.8k
  • 1
  • 33
  • 46

First, let's figure out who won each match...

Spain has 9 points, so they won all 3 matches.
Italy has 4 points and lost to Spain, so they went 1-1-1. Not sure who they beat yet.
Croatia has 2 points and lost to Spain, so they went 0-1-2. So Croatia played to a draw against both Italy and Albania. This means Italy beat Albania.
So the 6 matches were:
Spain (W) - Italy
Spain (W) - Croatia
Spain (W) - Albania
Italy (W) - Albania
Italy (D) - Croatia
Croatia (D) - Albania

Now that we know the outcomes of each match, it's time to figure out the scores. It turns out that Spain is again relatively easy...

Croatia's goal differential is -3 and they played 2 draws, so they lost to Spain by 3 goals. Since Spain didn't allow a goal, we have our first score:
Spain 3 - Croatia 0
Spain scored a total of 5 goals, meaning their other matches were both won 1-0:
Spain 1 - Italy 0
Spain 1 - Albania 0

Now for the other 3 matches, it is simple enough to use the goals and figure out which possibilities work for all 3 teams...

Note: When calculating, I am using the fact that each team scored 3 goals. Then I will use the goals against to check if it's possible.
Croatia's 2 draws involved 3 goals for each side. So they either played
3 - 3 and 0 - 0 or
2 - 2 and 1 - 1
Let's assume it's 3-3/0-0. Italy only allowed 2 goals (excluding Spain), so they would have to be the 0-0 game. That makes the 3 games:
Croatia 0 - Italy 0 / Croatia 3 - Albania 3 / Italy 3 - Albania 0.
Goals against for Italy (2) shows this is incorrect.
So Croatia's games are 2-2 and 1-1, we just need to figure out which is which.
First guess, the 2-2 game is Italy:
Croatia 2 - Italy 2 / Croatia 1 - Albania 1 / Italy 1 - Albania 2.
Italy didn't lose, so this is incorrect.
Final guess, the 2-2 game is Albania:
Croatia 2 - Albania 2 / Croatia 1 - Italy 1 / Italy 2 - Albania 1.
Everything checks out now.

TLDR:

Spain 3 - Croatia 0
Spain 1 - Italy 0
Spain 1 - Albania 0
Italy 1 - Croatia 1
Italy 2 - Albania 1
Croatia 2 - Albania 2