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2023/2/1/puzzle.txt

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+--- Day 2: Cube Conundrum ---
+
+You're launched high into the atmosphere! The apex of your trajectory just
+barely reaches the surface of a large island floating in the sky. You gently
+land in a fluffy pile of leaves. It's quite cold, but you don't see much snow.
+An Elf runs over to greet you.
+
+The Elf explains that you've arrived at Snow Island and apologizes for the lack
+of snow. He'll be happy to explain the situation, but it's a bit of a walk, so
+you have some time. They don't get many visitors up here; would you like to play
+a game in the meantime?
+
+As you walk, the Elf shows you a small bag and some cubes which are either red,
+green, or blue. Each time you play this game, he will hide a secret number of
+cubes of each color in the bag, and your goal is to figure out information about
+the number of cubes.
+
+To get information, once a bag has been loaded with cubes, the Elf will reach
+into the bag, grab a handful of random cubes, show them to you, and then put
+them back in the bag. He'll do this a few times per game.
+
+You play several games and record the information from each game (your puzzle
+input). Each game is listed with its ID number (like the 11 in Game 11: ...)
+followed by a semicolon-separated list of subsets of cubes that were revealed
+from the bag (like 3 red, 5 green, 4 blue).
+
+For example, the record of a few games might look like this:
+
+Game 1: 3 blue, 4 red; 1 red, 2 green, 6 blue; 2 green
+Game 2: 1 blue, 2 green; 3 green, 4 blue, 1 red; 1 green, 1 blue
+Game 3: 8 green, 6 blue, 20 red; 5 blue, 4 red, 13 green; 5 green, 1 red
+Game 4: 1 green, 3 red, 6 blue; 3 green, 6 red; 3 green, 15 blue, 14 red
+Game 5: 6 red, 1 blue, 3 green; 2 blue, 1 red, 2 green
+
+In game 1, three sets of cubes are revealed from the bag (and then put back
+again). The first set is 3 blue cubes and 4 red cubes; the second set is 1 red
+cube, 2 green cubes, and 6 blue cubes; the third set is only 2 green cubes.
+
+The Elf would first like to know which games would have been possible if the bag
+contained only 12 red cubes, 13 green cubes, and 14 blue cubes?
+
+In the example above, games 1, 2, and 5 would have been possible if the bag had
+been loaded with that configuration. However, game 3 would have been impossible
+because at one point the Elf showed you 20 red cubes at once; similarly, game 4
+would also have been impossible because the Elf showed you 15 blue cubes at
+once. If you add up the IDs of the games that would have been possible, you get
+8.
+
+Determine which games would have been possible if the bag had been loaded with
+only 12 red cubes, 13 green cubes, and 14 blue cubes. What is the sum of the IDs
+of those games?