[Script Info] Title: [Events] Format: Layer, Start, End, Style, Name, MarginL, MarginR, MarginV, Effect, Text Dialogue: 0,0:00:06.98,0:00:08.59,Default,,0000,0000,0000,,After centuries of war, Dialogue: 0,0:00:08.59,0:00:11.76,Default,,0000,0000,0000,,the world’s kingdoms \Nhave come to an agreement. Dialogue: 0,0:00:11.76,0:00:17.25,Default,,0000,0000,0000,,Every five years, teams representing \Nthe elves, goblins, and treefolk Dialogue: 0,0:00:17.25,0:00:21.78,Default,,0000,0000,0000,,will compete in a grand tournament \Nof dragon jousting. Dialogue: 0,0:00:21.78,0:00:25.19,Default,,0000,0000,0000,,Every team will face \Neach of the others once. Dialogue: 0,0:00:25.19,0:00:30.19,Default,,0000,0000,0000,,The kingdom whose team wins the most \Nmatches will rule all of Center-Realm Dialogue: 0,0:00:30.19,0:00:31.99,Default,,0000,0000,0000,,until the next tournament. Dialogue: 0,0:00:31.99,0:00:34.24,Default,,0000,0000,0000,,To prevent any outside meddling, Dialogue: 0,0:00:34.24,0:00:37.66,Default,,0000,0000,0000,,the games are to be conducted \Nin absolute secret Dialogue: 0,0:00:37.66,0:00:40.48,Default,,0000,0000,0000,,except for a group of wizards \Nwho will make sure Dialogue: 0,0:00:40.48,0:00:45.54,Default,,0000,0000,0000,,nobody uses enchantments, hexes, \Nor spells to cheat. Dialogue: 0,0:00:45.54,0:00:49.46,Default,,0000,0000,0000,,You’ve been given the extremely \Nimportant job of recording the scores Dialogue: 0,0:00:49.46,0:00:51.70,Default,,0000,0000,0000,,for the first inaugural tournament. Dialogue: 0,0:00:51.70,0:00:55.24,Default,,0000,0000,0000,,But the opening celebrations \Nget a bit out of control, Dialogue: 0,0:00:55.24,0:00:56.60,Default,,0000,0000,0000,,and when you wake up, Dialogue: 0,0:00:56.60,0:00:59.85,Default,,0000,0000,0000,,you realize the games \Nare already underway. Dialogue: 0,0:00:59.85,0:01:03.79,Default,,0000,0000,0000,,Fortunately, no one has noticed \Nyour absence so far. Dialogue: 0,0:01:03.79,0:01:06.77,Default,,0000,0000,0000,,However, you need to get up to speed \Nquickly; Dialogue: 0,0:01:06.77,0:01:09.34,Default,,0000,0000,0000,,if your boss, \Nthe head tournament official, Dialogue: 0,0:01:09.34,0:01:13.76,Default,,0000,0000,0000,,finds out you’ve been sleeping on the job,\Nyou’ll lose your head. Dialogue: 0,0:01:13.76,0:01:15.29,Default,,0000,0000,0000,,After weighing your options, Dialogue: 0,0:01:15.29,0:01:19.63,Default,,0000,0000,0000,,you decide to offer your life’s savings \Nto one of the regulation wizards Dialogue: 0,0:01:19.63,0:01:21.48,Default,,0000,0000,0000,,in return for the information, Dialogue: 0,0:01:21.48,0:01:24.49,Default,,0000,0000,0000,,giving him your blank scorecard \Nto fill out. Dialogue: 0,0:01:24.49,0:01:28.44,Default,,0000,0000,0000,,But before he can finish, \Nyour boss walks into the tent. Dialogue: 0,0:01:28.44,0:01:31.31,Default,,0000,0000,0000,,You barely manage to hide the scorecard \Nin time, Dialogue: 0,0:01:31.31,0:01:33.78,Default,,0000,0000,0000,,and the wizard excuses himself. Dialogue: 0,0:01:33.78,0:01:35.20,Default,,0000,0000,0000,,Your boss chuckles. Dialogue: 0,0:01:35.20,0:01:37.90,Default,,0000,0000,0000,,“Hope you didn’t believe anything \NGorbak’s been saying— Dialogue: 0,0:01:37.90,0:01:41.72,Default,,0000,0000,0000,,he’s been cursed to tell only lies, \Neven in writing. Dialogue: 0,0:01:41.72,0:01:45.10,Default,,0000,0000,0000,,Anyway, can you believe how low-scoring \Nthe tournament’s been? Dialogue: 0,0:01:45.10,0:01:47.32,Default,,0000,0000,0000,,Every team has played at least once, Dialogue: 0,0:01:47.32,0:01:51.80,Default,,0000,0000,0000,,yet not a single match with \Na combined score of more than five hits! Dialogue: 0,0:01:51.80,0:01:55.30,Default,,0000,0000,0000,,Anyhow, I’ll be back in a minute \Nto review your scorecard.” Dialogue: 0,0:01:55.30,0:01:56.56,Default,,0000,0000,0000,,You laugh along, Dialogue: 0,0:01:56.56,0:01:59.64,Default,,0000,0000,0000,,and when he leaves you look \Nat the partially completed card, Dialogue: 0,0:01:59.64,0:02:03.54,Default,,0000,0000,0000,,now knowing every single number \Non it is wrong. Dialogue: 0,0:02:03.54,0:02:06.20,Default,,0000,0000,0000,,You’ve only got one chance \Nto save yourself, Dialogue: 0,0:02:06.20,0:02:09.56,Default,,0000,0000,0000,,so what’s the real score of each match? Dialogue: 0,0:02:09.56,0:02:17.03,Default,,0000,0000,0000,,Pause now to figure it out for yourself. Dialogue: 0,0:02:17.03,0:02:20.75,Default,,0000,0000,0000,,The incredible thing about this riddle \Nis that you can reach the solution Dialogue: 0,0:02:20.75,0:02:24.79,Default,,0000,0000,0000,,despite an almost complete lack \Nof correct information. Dialogue: 0,0:02:24.79,0:02:28.42,Default,,0000,0000,0000,,And that’s possible because \Nknowing that something is false Dialogue: 0,0:02:28.42,0:02:31.75,Default,,0000,0000,0000,,is meaningful information \Nin its own right. Dialogue: 0,0:02:31.75,0:02:36.45,Default,,0000,0000,0000,,The first key is to realize that no team \Nwill play more than two matches, Dialogue: 0,0:02:36.45,0:02:39.00,Default,,0000,0000,0000,,since there are only two other teams. Dialogue: 0,0:02:39.00,0:02:42.23,Default,,0000,0000,0000,,So if the elves didn’t actually play \None match, Dialogue: 0,0:02:42.23,0:02:44.82,Default,,0000,0000,0000,,and the goblins didn’t actually play two, Dialogue: 0,0:02:44.82,0:02:49.66,Default,,0000,0000,0000,,the truth must be that elves played two \Nand goblins played one. Dialogue: 0,0:02:49.66,0:02:51.88,Default,,0000,0000,0000,,For the elves to have played two matches, Dialogue: 0,0:02:51.88,0:02:55.34,Default,,0000,0000,0000,,they must’ve faced each of the other teams\Nonce. Dialogue: 0,0:02:55.34,0:02:59.84,Default,,0000,0000,0000,,And since goblins have only played \None match so far— against the elves— Dialogue: 0,0:02:59.84,0:03:04.49,Default,,0000,0000,0000,,that means the match between goblins \Nand treefolk has not occurred yet. Dialogue: 0,0:03:04.49,0:03:08.03,Default,,0000,0000,0000,,We know it’s false that the treefolk tied \Nzero matches, Dialogue: 0,0:03:08.03,0:03:11.56,Default,,0000,0000,0000,,which means their bout \Nagainst the elves must’ve tied. Dialogue: 0,0:03:11.56,0:03:14.89,Default,,0000,0000,0000,,We also know that the elves won \Nat least one match, Dialogue: 0,0:03:14.89,0:03:19.72,Default,,0000,0000,0000,,and since they tied against the treefolk, \Nthey must have beaten the goblins. Dialogue: 0,0:03:19.72,0:03:22.88,Default,,0000,0000,0000,,But can we figure out the actual scores? Dialogue: 0,0:03:22.88,0:03:25.70,Default,,0000,0000,0000,,Let’s start with the elf-treefolk tie. Dialogue: 0,0:03:25.70,0:03:28.57,Default,,0000,0000,0000,,Because no more than five total hits \Nwere scored, Dialogue: 0,0:03:28.57,0:03:33.46,Default,,0000,0000,0000,,the final tally must’ve been \N0-0, 1-1, or 2-2. Dialogue: 0,0:03:33.46,0:03:36.09,Default,,0000,0000,0000,,But the treefolk must’ve scored \Nsome hits, Dialogue: 0,0:03:36.09,0:03:39.96,Default,,0000,0000,0000,,and it’s false that they only had one hit \Nscored against them. Dialogue: 0,0:03:39.96,0:03:43.27,Default,,0000,0000,0000,,The only option that leaves is 2-2. Dialogue: 0,0:03:43.27,0:03:45.74,Default,,0000,0000,0000,,In the match between elves and goblins, Dialogue: 0,0:03:45.74,0:03:48.62,Default,,0000,0000,0000,,the goblins must’ve scored \Nat least one hit. Dialogue: 0,0:03:48.62,0:03:53.17,Default,,0000,0000,0000,,And the elf score must be 2 or more \Nfor them to have won the match. Dialogue: 0,0:03:53.17,0:03:57.83,Default,,0000,0000,0000,,This leaves only a few possibilities \Nthat add up to 5 or less. Dialogue: 0,0:03:57.83,0:04:01.94,Default,,0000,0000,0000,,The elves couldn’t have scored three, \Nso that eliminates these two. Dialogue: 0,0:04:01.94,0:04:06.75,Default,,0000,0000,0000,,And their total hits scored \Nacross both matches can’t add up to six, Dialogue: 0,0:04:06.75,0:04:08.54,Default,,0000,0000,0000,,so this one’s out too. Dialogue: 0,0:04:08.54,0:04:12.10,Default,,0000,0000,0000,,So the score must’ve been 2-1. Dialogue: 0,0:04:12.10,0:04:13.45,Default,,0000,0000,0000,,With one match remaining, Dialogue: 0,0:04:13.45,0:04:16.53,Default,,0000,0000,0000,,you’ve managed to save your job— \Nand your neck. Dialogue: 0,0:04:16.53,0:04:18.43,Default,,0000,0000,0000,,Gorbak the wizard may have lied, Dialogue: 0,0:04:18.43,0:04:21.67,Default,,0000,0000,0000,,but your deductive skills \Nquickly evened the score.