Ten players, as listed in the table below, participated in a rifle shooting competition comprising of 10 rounds. Each round had 6 participants. Players numbered 1 through 6 participated in Round 1, players 2 through 7 in Round 2,..., players 5 through 10 in Round 5, players 6 through 10 and 1 in Round 6, players 7 through 10, 1 and 2 in Round 7 and so on. The top three performances in each round were awarded 7, 3 and 1 points respectively. There were no ties in any of the 10 rounds. The table below gives the total number of points obtained by the 10 players after Round 6 and Round 10.

Player No.	Player Name	Points after Round 6	Points after Round 10
$1$	Amita	$8$	$18$
$2$	Bala	$2$	$5$
$3$	Chen	$3$	$6$
$4$	David	$6$	$6$
$5$	Eric	$3$	$10$
$6$	Fatima	$10$	$10$
$7$	Gordon	$17$	$17$
$8$	Hansa	$1$	$4$
$9$	Ikea	$2$	$17$
$10$	Joshin	$14$	$17$

The following information is known about Rounds 1 through 6:

1. Gordon did not score consecutively in any two rounds.

2. Eric and Fatima both scored in a round.

The following information is known about Rounds 7 through 10:

1. Only two players scored in three consecutive rounds. One of them was Chen. No other player scored in any two consecutive rounds.

2. Joshin scored in Round 7, while Amita scored in Round 10.

3. No player scored in all the four rounds.

What were the scores of Chen, David, and Eric respectively after Round 3?