4 men and 4 women were shipwrecked on a desert island. Eventually each person falls in love with one other person, and is in turn loved by one person. John falls in love with a woman who is, unfortunately, in love with Jim. Arthur loves a woman who loves the man who loves Ellen. Mary is loved by the man who is loved by the woman who is loved by Bruce. Gloria hates Bruce and is hated by the man whom Hazel loves. Who loves Arthur?
I started with trying to use the typical 4x4 grid, but it doesn't work because of the love AND hate stipulation.
Mapping it out so far:
John loves ___ loves Jim
Arthur loves ___ loves ___ loves Ellen
Bruce loves ___ loves ___ loves Mary
Hazel loves ___ hates Gloria hates Bruce.
So:
Arthur doesn't love Ellen.
Bruce doesn't love Mary.
Gloria doesn't love Bruce.
Assumption: No one loves the same sex or themselves.
Any tips?
I started with trying to use the typical 4x4 grid, but it doesn't work because of the love AND hate stipulation.
Mapping it out so far:
John loves ___ loves Jim
Arthur loves ___ loves ___ loves Ellen
Bruce loves ___ loves ___ loves Mary
Hazel loves ___ hates Gloria hates Bruce.
So:
Arthur doesn't love Ellen.
Bruce doesn't love Mary.
Gloria doesn't love Bruce.
Assumption: No one loves the same sex or themselves.
Any tips?