First, reading the first letter of each team’s name gives the cluephrase FOR EACH TEAM CALCULATE THE TOTAL NUMBER OF GOALS IN THEIR HIGHEST SCORING GAME. Using the given information for each tournament, it is possible to reconstruct the results of each match already played and which matches have not yet been played. For example, the first solution is:
| 1 | 2 | 3 | 4 | 5 | 6 | |
|---|---|---|---|---|---|---|
| 1 | ||||||
| 2 |
X
X
|
|||||
| 3 |
2
3
|
1
0
|
||||
| 4 |
2
3
|
0
1
|
X
X
|
|||
| 5 |
1
3
|
0
1
|
0
1
|
X
X
|
||
| 6 |
X
X
|
0
2
|
X
X
|
0
2
|
0
1
|
The first score corresponds to the row and the second to the column, and Xs are for matches that haven’t yet been played.
Taking the goals scored in the highest scoring game for each team and indexing into their name as instructed gives the phrase SITE TEAMS ON CLOCK FACE FIRST TEAM USES THE START TIME NOW DRAW REMAINING GAMES. This suggests a way to represent the round robin tournaments geometrically: place the number 1 team at 12 or 1 o’clock on a circle and proceed clockwise, putting team number 6 at 10 or 11 o’clock.
Finally, as suggested by the second part of the flavor text, look at the matches that haven’t been played yet. Drawing edges connecting teams which still need to play spells out a letter for each tournament. For example, the first tournament gives an S:
Doing this for all the tournaments spells out the final answer, SPOT THE BALL.
| 1 | 2 | 3 | 4 | 5 | 6 | |
|---|---|---|---|---|---|---|
| 1 | ||||||
| 2 |
X
X
|
|||||
| 3 |
2
3
|
1
0
|
||||
| 4 |
2
3
|
0
1
|
X
X
|
|||
| 5 |
1
3
|
0
1
|
0
1
|
X
X
|
||
| 6 |
X
X
|
0
2
|
X
X
|
0
2
|
0
1
|
| 1 | 2 | 3 | 4 | 5 | 6 | |
|---|---|---|---|---|---|---|
| 1 | ||||||
| 2 |
X
X
|
|||||
| 3 |
0
1
|
0
1
|
||||
| 4 |
0
2
|
1
0
|
0
2
|
|||
| 5 |
0
1
|
X
X
|
0
1
|
0
1
|
||
| 6 |
X
X
|
1
2
|
0
1
|
X
X
|
1
2
|
| 1 | 2 | 3 | 4 | 5 | 6 | |
|---|---|---|---|---|---|---|
| 1 | ||||||
| 2 |
X
X
|
|||||
| 3 |
1
2
|
X
X
|
||||
| 4 |
1
2
|
0
1
|
X
X
|
|||
| 5 |
1
2
|
0
1
|
0
1
|
X
X
|
||
| 6 |
X
X
|
0
2
|
0
1
|
0
1
|
X
X
|
| 1 | 2 | 3 | 4 | 5 | 6 | |
|---|---|---|---|---|---|---|
| 1 | ||||||
| 2 |
X
X
|
|||||
| 3 |
0
1
|
0
1
|
||||
| 4 |
X
X
|
0
1
|
0
1
|
|||
| 5 |
0
2
|
1
0
|
0
2
|
0
2
|
||
| 6 |
X
X
|
0
1
|
0
1
|
0
1
|
0
2
|
| 1 | 2 | 3 | 4 | 5 | 6 | |
|---|---|---|---|---|---|---|
| 1 | ||||||
| 2 |
X
X
|
|||||
| 3 |
2
3
|
1
0
|
||||
| 4 |
X
X
|
0
3
|
1
0
|
|||
| 5 |
0
1
|
0
1
|
0
1
|
3
0
|
||
| 6 |
X
X
|
0
1
|
0
1
|
0
1
|
0
1
|
| 1 | 2 | 3 | 4 | 5 | 6 | |
|---|---|---|---|---|---|---|
| 1 | ||||||
| 2 |
X
X
|
|||||
| 3 |
0
2
|
X
X
|
||||
| 4 |
0
1
|
0
1
|
0
1
|
|||
| 5 |
0
2
|
X
X
|
0
1
|
X
X
|
||
| 6 |
0
1
|
0
2
|
0
1
|
0
2
|
X
X
|
| 1 | 2 | 3 | 4 | 5 | 6 | |
|---|---|---|---|---|---|---|
| 1 | ||||||
| 2 |
0
3
|
|||||
| 3 |
0
1
|
0
1
|
||||
| 4 |
0
2
|
1
2
|
X
X
|
|||
| 5 |
0
1
|
X
X
|
0
1
|
0
4
|
||
| 6 |
X
X
|
1
2
|
0
1
|
X
X
|
0
1
|
| 1 | 2 | 3 | 4 | 5 | 6 | |
|---|---|---|---|---|---|---|
| 1 | ||||||
| 2 |
X
X
|
|||||
| 3 |
0
1
|
2
0
|
||||
| 4 |
3
0
|
0
1
|
0
2
|
|||
| 5 |
0
1
|
0
1
|
X
X
|
2
0
|
||
| 6 |
X
X
|
X
X
|
X
X
|
0
2
|
X
X
|
| 1 | 2 | 3 | 4 | 5 | 6 | |
|---|---|---|---|---|---|---|
| 1 | ||||||
| 2 |
X
X
|
|||||
| 3 |
0
1
|
X
X
|
||||
| 4 |
0
3
|
0
1
|
1
0
|
|||
| 5 |
0
3
|
1
2
|
0
1
|
2
0
|
||
| 6 |
X
X
|
X
X
|
0
2
|
0
1
|
X
X
|
| 1 | 2 | 3 | 4 | 5 | 6 | |
|---|---|---|---|---|---|---|
| 1 | ||||||
| 2 |
0
3
|
|||||
| 3 |
0
2
|
0
1
|
||||
| 4 |
0
3
|
0
1
|
X
X
|
|||
| 5 |
0
2
|
0
1
|
0
1
|
0
1
|
||
| 6 |
0
1
|
0
1
|
0
1
|
X
X
|
0
2
|
| 1 | 2 | 3 | 4 | 5 | 6 | |
|---|---|---|---|---|---|---|
| 1 | ||||||
| 2 |
1
0
|
|||||
| 3 |
0
2
|
1
0
|
||||
| 4 |
0
1
|
0
1
|
X
X
|
|||
| 5 |
0
1
|
0
1
|
0
1
|
0
2
|
||
| 6 |
0
1
|
0
1
|
0
2
|
X
X
|
0
1
|
