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Puzzling High School:
Puzzling High School is tied up in knots right now. It's two days until prom and no one has sorted anything out yet! Every one of the 20 students at the school (it's a small school) are in love with at least one other student and has at least one other student in love with them... and there are no cases of mutual attraction.

Except as noted, each student loves only one other student; no student is loved by more than two others. There are no outside characters.

  • Alice (Straight Female): Loved by someone who is loved by Erica.
  • Bob (Straight Male): Loved by Queenie; loves someone who loves Frank.
  • Cindy (Straight Female): Loved by someone who is loved by Alice.
  • David (Gay Male): Loved by two girls (those poor fools).
  • Erica (Bisexual Female): Loves Nelson and a straight girl; the girl loves David.
  • Frank (Straight Male): Loves a girl who loves two other students.
  • Gloria (Straight Female): Loves a bisexual guy who loves one girl.
  • Hank (Straight Male): Loves two girls, one of whom loves Indigo.
  • Indigo (Straight Female): Loves a guy who loves Patrick.
  • Jack (Bisexual Male): Loves Megan, loved by two girls.
  • Katie (Lesbian Female): Loves someone who loves Jack.
  • Lucas (Straight Male): Loves Katie, unlike everyone else.
  • Megan (Straight Female): Loves two guys, one of whom loves Katie.
  • Nelson (Bisexual Male): Loves a guy and a girl; the girl loves Roger.
  • Olivia (Bisexual Female): Loves the same student as Gloria; not loved by Katie.
  • Patrick (Straight Male): Loved by David, loves someone who loves Jack.
  • Queenie (Straight Female): Loved by someone who also loves Erica.
  • Roger (Straight Male): Loves someone who loves Hank.
  • Sally (Straight Female): Loved by Tim; doesn't love Frank.
  • Tim (Bisexual Male): Loved by someone who loves someone else.

Can you figure out who loves who?

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  • $\begingroup$ "each student loves only one other student" and Nelson "Loves a guy and a girl". Is this intentional? It seems contradictory. $\endgroup$ – Austin Weaver Apr 10 '18 at 3:51
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    $\begingroup$ @AustinWeaver It says "Except as noted, each student loves only one other student" so I think Nelson, Megan, Hank, and Erica are the exceptions to that rule. $\endgroup$ – Aces Apr 10 '18 at 3:59
  • $\begingroup$ @Aces That's exactly it. $\endgroup$ – qwertyu63 Apr 10 '18 at 3:59
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I believe I have a solution -

N->A->R
Q->B->M
R->C->H
I,S->D->P
F,H->E
M->F->E
K->G->J
C->H->E,Q
E->I->D
G,O->J->M
L->K->G
B,J->M->L,F
E->N->A,T
P->O->J
D->P->O
H->Q->B
A->R->C
T->S->D
N->T->S

EDIT by OP:

Alice: Loves Roger
Bob: Loves Megan
Cindy: Loves Hank
David: Loves Patrick
Erica: Loves Indigo and Nelson
Frank: Loves Erica
Gloria: Loves James
Hank: Loves Queenie and Erica
Indigo: Loves David
Jack: Loves Megan
Katie: Loves Gloria
Lucas: Loves Katie
Megan: Loves Lucas and Frank
Nelson: Loves Alice and Tim
Olivia: Loves James
Patrick: Loves Olivia
Queenie: Loves Bob
Roger: Loves Cindy
Sally: Loves David
Tim: Loves Sally

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  • $\begingroup$ Alright, after picking apart your listing, you've got it all right. $\endgroup$ – qwertyu63 Apr 10 '18 at 4:29
  • $\begingroup$ Sorry about that, I'm trying to fix it. Do you know how to make a multi line spoiler? $\endgroup$ – Karan Atree Apr 10 '18 at 4:31
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    $\begingroup$ Just wait for the peer review. I already sent in the edit. In general, put two spaces at the end of each line. $\endgroup$ – qwertyu63 Apr 10 '18 at 4:32

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