A friend relationship is a binary relation defined for two persons denoted f ( p 1, p 2), where p 1 and p 2 are two persons The meaning is that p 1 is a friend of p 2 Properties of the friend relationship are If f ( p 1, p 2), then f ( p 2, p 1) If p 1 is a friend of p 2, then p 2 is a friend of p 1 If f ( p 1, p 2) and f ( p 2, p 3), then f ( p 1, p 3) If p 1 is a friend of p 2 and p 2 is a friend of p 3, then p 1 is a friend of p 3 You must write the program named friendRelationship java that implements the following requirements Your program must read friend relationships among people from an input file named friends input txt The format of an input file is shown below John, Isobel Nathan, John Rebecka, Yorst Maria, Yorst Doloris, Maria Yorst, Doloris Your program must store the friend relationships in a (simplified) adjacency matrix, which is a two dimensional matrix For example, given the above friend relationships, the corresponding adjacency matrix should be f

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Question: A friend relationship is a binary relation defined for two persons denoted f ( p 1, p 2), where p 1 and p 2 are

A friend relationship is a binary relation defined for two persons denotedf(p1,p2), wherep1 andp2 are two persons. The meaning is thatp1 is a friend ofp2. Properties of the friend relationship are:

?Iff(p1,p2), thenf(p2,p1): Ifp1 is a friend ofp2, thenp2 is a friend ofp1.
?Iff(p1,p2) andf(p2,p3), thenf(p1,p3): Ifp1 is a friend ofp2 andp2 is a friend ofp3,
thenp1 is a friend ofp3.
You must write the program namedfriendRelationship.javathat implements the following requirements.

?Your program must read friend relationships among people from an input file namedfriends_input.txt. The format of an input file is shown below:

John, Isobel

Nathan, John

Rebecka, Yorst

Maria, Yorst

Doloris, Maria

Yorst, Doloris

Your program must store the friend relationships in a (simplified) adjacency matrix, which is a two-dimensional matrix. For example, given the above friend relationships, the corresponding adjacency matrix should be:

A friend relationship is a binary relation defined for two persons denotedf(p1,p2),

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