At the recent BrainBashers Championships, the 100 metres heats were closely observed.
Each contestant had to run in two races so that the average place could be determined.
Only one runner finished in the same place in both races.
Alex was never last. Chris always beat Dale. Billie had at least one first place. Alex finished third in at least one of the races. Both Dale and Chris had a second place.
Reasoning There are 62 squares of size 1 x 1. There are 41 squares of size 2 x 2. There are 18 squares of size 3 x 3. There are 6 squares of size 4 x 4. There is 1 square of size 5 x 5.
Giving a total of 62 + 41 + 18 + 6 + 1 = 128 squares.