Six teams of IIM-Ahmedabad (IIMA), IIM-Bangalore (IIMB), IIMCalcutta (IIMC), IIM-Delhi (IIMD), IIMErnakulam (IIME) and IIMFirozpur (IIMF) participated in an inter-IIM Hockey tournament. The tournament was played in two stages. In the first stage, each team played one match against exactly three of the other teams. In the second stage, each team played one match against the remaining two teams against which it did not play any match in the first stage.
In each match, for a win, a team gets 3 points and for a loss, it gets 0 points. If a match ended in a draw, then each team gets 1 point each. It is also known that each of the six teams scored at least one goal in each match that it played.
The following two tables give the goals for (total goals scored by the team), Goals against (total goals conceded by the team) and the total points scored by each of the six teams in the first stage and in the second stage matches respectively:
Details of the first stage matches
\begin{tabular}{|c|c|c|c|}
\hline Teams & Goals For & Goals Against & Total Points \\
\hline IIMA & 8 & 6 & 6 \\
\hline IIMB & 7 & 12 & 0 \\
\hline IIMC & 6 & 3 & 9 \\
\hline IIMD & 3 & 6 & 1 \\
\hline IIME & 7 & 6 & 4 \\
\hline IIMF & 7 & 5 & 6 \\
\hline
\end{tabular}
Details of the second stage matches
\begin{tabular}{|c|c|c|c|}
\hline Teams & Goals For & Goals Against & Total Points \\
\hline IIMA & 6 & 4 & 6 \\
\hline IIMB & 3 & 5 & 1 \\
\hline IIMC & 4 & 5 & 1 \\
\hline IIMD & 5 & 4 & 3 \\
\hline IIME & 2 & 6 & 0 \\
\hline IIMF & 6 & 2 & 6 \\
\hline
\end{tabular}
Which team won against team IIMA in the first stage?
