Four gentlemen and four young ladies are shipwrecked on a deserted island. Eventually each person falls in love with one person and is loved by one person.

The names of the four gentlemen are: Jason, Arthur, Jim and Bill. The names of the four ladies are: Gloria, Rose, Mary and Jill.

You are given the following information:

1. The lady that Jason loved fell in love with Jim.
2. The lady that Arthur loved fell in love with Bill.
3. Gloria loved neither Jim nor Jason.
4. The gentleman that Rose loved fell in love with Mary.
5. Bill did not love Mary.
6. Gloria loved the gentleman who loved Rose.

There is no mutual love interest (nobody loves the person who loves them back). Nobody is homosexual or narcissistic.

Whom did Arthur love?