Eve was visiting Alice and Carol's house and looking through the stuff on their side table, as she does. Eventually, Alice came back from the kitchen and Eve waved a piece of paper she had found in her face.
"What's this?" she asked.
Alice took a look and replied, "Bob and Dave came by the other week and we played a game. Carol was just keeping...track of the plays."
Eve looked at the paper again. "There's no scores, except at the end."
Alice rolled her eyes. "We kept score the usual way, Carol just likes writing down everyone's moves, if the board gets shifted or something. It keeps her mind busy."
"You know," said Eve, "You didn't invite me to this."
"Yeah, but I still like to be invited. So who won?"
"In fact, why don't you tell me?" asked Alice. "You should be able to figure it out from Carol's writing. If you do, I promise you'll get an invite next time we play."
"Nice," responded Eve, scanning the paper again and doing some research on her cell phone when she stopped. "Wait, some of these don't make sense."
"Yeah, Carol's notation might get you a little off track," commented Alice, "but I'm sure you can figure it out. Oh, one thing--one bit of her notation isn't what it should be."
"Because Carol's from Minnesota and dislikes inaccuracies. Have fun."
The record of play:
A DFWJFK 11 SEALAX 9 LAXORD 16 MCIIAH 5
B DENPIT 11 YAMOKC 9 DENELP 4 YULATL 9 MSPELP 10 SFOATL -17 MSPIAH 8
C YYCPHX 13 HLNLAX 8 LAXJFK 21 YYCSLC 7
D IAHMSY 7 JFKATL 6 YWGIAH 12
What game were Alice, Bob, Carol, and Dave playing, who won, and by how much?