Mario Kart

Adam, Bob, Caleb, Dylan, Elaine, Francis, Gillian, and Hamilton all decided they wanted to play Mario Kart together. They played three races, and the winner was determined by a points system: ​

For getting first place in a single race, a player was awarded 8 points.​

For getting second place in a single race, a player was awarded 7 points.​

For getting third place in a single race, a player was awarded 6 points.​

For getting fourth place in a single race, a player was awarded 5 points.​

For getting fifth place in a single race, a player was awarded 4 points.​

For getting sixth place in a single race, a player was awarded 3 points.​

For getting seventh place in a single race, a player was awarded 2 points.​

For getting eighth place in a single race, a player was awarded 1 point.​

The First Race ​

Francis finished directly in front of Elaine, but finished directly behind Dylan.​

Bob was neither in first nor last, and did better than Adam.​

Gillian came in sixth place.​

Elaine did better than both Bob and Caleb, but did not do better than Hamilton.

​Dylan came in second.

Adam came in last.

The Second Race

Hamilton did better than Dylan (Dylan was not directly behind Hamilton), but was behind Bob (not directly).

Francis did better than both Bob and Elaine (in that order respectively).

Gillian did better than Dylan (Dylan was directly behind Gillian), but Gillian was directly behind Caleb.

Adam came in last.

The Third Race

Dylan and Francis finished fourth and fifth (but not necessarily in that order).

Caleb did better than both Elaine and Adam.

Gillian did better than Bob, but did worse than Caleb.

Elaine did better than Adam.

Dylan did worse than Caleb, but did better than Hamilton and Gillian.

Bob came in last.

Hamilton came directly behind Francis, and came directly in front of Gillian.

Based on the following information, figure out where everyone placed after three races. Each racer's first initial has a number assigned to it, and that is how the question is answered A=1 B=2 C=3 D=4 E=5 F=6 G=7 H=8, so someone's answer might look like, if they thought that Adam won: 1/////// (the / just represents the numbers that would go there). If there was a tie, put the initial that came first. I.e., if both Adam and Bob had 12 points at the end, then Adam's number would go first because the letter A comes before the letter B.