快猫短视频

#104 Soccerdoku

鈥淔ootball league tables are a bit like accounts,鈥� says Harry the bookkeeper. 鈥淭he debits and credits must balance. For example, victory for one team means defeat for another, so the total games won must be the same as the total games lost. And every goal scored for one team is a goal against another one.鈥�

Harry鈥檚 insights will help our league鈥檚 archivist. The newspaper cutting with the results of the 1993 season is now smudged, and several entries are illegible. The teams played each other once, and this is how the season ended:

Won
Lost
Drawn
For
Against

United
2
0
*
2
*

Rovers
2
*
0
4
1

Albion
*
2
*
3
3

Town
*
2
1
0
5

Can you fill in the blanks and work out the scores in all the matches?

Solution next week

#103 Trouble brewing

Solution

Pressing the coffee and milk buttons delivers鈥� coffee and milk!

Chocolate with milk produces tea + ? and sugar + ? with the ?s cancelling, and ? must be coffee. So the milk button doesn鈥檛 deliver chocolate. We know the milk/tea/sugar buttons deliver all but chocolate, so the tea and sugar buttons must both deliver chocolate, which then cancels.

This means the milk and coffee buttons deliver either sugar-coffee/sugar-milk or tea-coffee/tea-milk.

Either way, the result is that the coffee and milk buttons together deliver coffee and milk.