What is the sum of the IDs of those games?
+
+
+Your puzzle answer was 2156.
+
+The first half of this puzzle is complete! It provides one gold star: *
+
+
+
+## Part Two
+
+The Elf says they've stopped producing snow because they aren't getting any water! He isn't sure why the water stopped; however, he can show you how to get to the water source to check it out for yourself. It's just up ahead!
+
+As you continue your walk, the Elf poses a second question: in each game you played, what is the **fewest number of cubes of each color** that could have been in the bag to make the game possible?
+
+Again consider the example games from earlier:
+
+```
+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, the game could have been played with as few as 4 red, 2 green, and 6 blue cubes. If any color had even one fewer cube, the game would have been impossible.
+- Game 2 could have been played with a minimum of 1 red, 3 green, and 4 blue cubes.
+- Game 3 must have been played with at least 20 red, 13 green, and 6 blue cubes.
+- Game 4 required at least 14 red, 3 green, and 15 blue cubes.
+- Game 5 needed no fewer than 6 red, 3 green, and 2 blue cubes in the bag.
+
+The **power** of a set of cubes is equal to the numbers of red, green, and blue cubes multiplied together. The power of the minimum set of cubes in game 1 is `48`. In games 2-5 it was `12`, `1560`, `630`, and `36`, respectively. Adding up these five powers produces the sum **`2286`**.
+
+For each game, find the minimum set of cubes that must have been present.
+