···30303131Determine 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?*
32323333-To begin, [get your puzzle input](2/input).
3333+Your puzzle answer was `2795`.
3434+3535+The first half of this puzzle is complete! It provides one gold star: \*
3636+3737+\--- Part Two ---
3838+----------
3939+4040+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!
4141+4242+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?
4343+4444+Again consider the example games from earlier:
4545+4646+```
4747+Game 1: 3 blue, 4 red; 1 red, 2 green, 6 blue; 2 green
4848+Game 2: 1 blue, 2 green; 3 green, 4 blue, 1 red; 1 green, 1 blue
4949+Game 3: 8 green, 6 blue, 20 red; 5 blue, 4 red, 13 green; 5 green, 1 red
5050+Game 4: 1 green, 3 red, 6 blue; 3 green, 6 red; 3 green, 15 blue, 14 red
5151+Game 5: 6 red, 1 blue, 3 green; 2 blue, 1 red, 2 green
5252+5353+```
5454+5555+* 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.
5656+* Game 2 could have been played with a minimum of 1 red, 3 green, and 4 blue cubes.
5757+*
5858+* Game 3 must have been played with at least 20 red, 13 green, and 6 blue cubes.
5959+* Game 4 required at least 14 red, 3 green, and 15 blue cubes.
6060+* Game 5 needed no fewer than 6 red, 3 green, and 2 blue cubes in the bag.
6161+6262+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*`.
6363+6464+For each game, find the minimum set of cubes that must have been present. *What is the sum of the power of these sets?*
34653566Answer:
36673737-You can also [Shareon [Twitter](https://twitter.com/intent/tweet?text=%22Cube+Conundrum%22+%2D+Day+2+%2D+Advent+of+Code+2023&url=https%3A%2F%2Fadventofcode%2Ecom%2F2023%2Fday%2F2&related=ericwastl&hashtags=AdventOfCode) [Mastodon](javascript:void(0);)] this puzzle.6868+Although it hasn't changed, you can still [get your puzzle input](2/input).
6969+7070+You can also [Shareon [Twitter](https://twitter.com/intent/tweet?text=I%27ve+completed+Part+One+of+%22Cube+Conundrum%22+%2D+Day+2+%2D+Advent+of+Code+2023&url=https%3A%2F%2Fadventofcode%2Ecom%2F2023%2Fday%2F2&related=ericwastl&hashtags=AdventOfCode) [Mastodon](javascript:void(0);)] this puzzle.