Amudha, Bharatan, Chandran, Dhinesh, Ezhil, Fani and Gowtham are seven people in a town. Any pair of them could either be strangers, acquaintances, or friends. All relationships are mutual. For example, if Amudha is a friend of Bharatan, then Bharatan is also a friend of Amudha. Similarly, if Amudha is a stranger to Bharatan, then Bharatan is also a stranger to Amudha.
Partial information about the number of friends, acquaintances, and strangers of each of these people among them is given in the table below.
$$\begin{array}{|l|c|c|c|} \hline & \text{No. of Friends} & \text{No. of Acquaintances} & \text{No. of Strangers} \\\hline \text{Amudha} & & 1 & 4 \\\hline \text{Bharatan} & & & \\\hline \text{Chandran} & & 1 & \\\hline \text{Dhinesh} & & & 2 \\\hline \text{Ezhil} & & & 1 \\\hline \text{Fani} & 1 & & \\\hline \text{Gowtham} & & 3 & 2 \\\hline \end{array}$$
The following additional facts are also known.
- Amudha, Bharatan, and Chandran are mutual strangers.
- Amudha, Dhinesh, and Fani are Ezil’s friends.
- Chandran and Gowtham are friends.
- Every friend of Amudha is an acquaintance of Bharatan, and every acquaintance of Bharatan is a friend of Amudha.
- Every friend of Bharatan is an acquaintance of Amudha, and every acquaintance of Amudha is a friend of Bharatan.
How many friends does Ezhil have ?