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solve Day02 in python

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# Day 2: Cube Conundrum
## Part 1
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?
## 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. What is the sum of the power of these sets?
## Minimum Resource Allocation for Constraints Satisfaction
### Problem Description
The puzzle involves determining the minimum resource allocation (in this case, colored cubes) required to satisfy a set of constraints (revealed cube counts in each game). Each game presents multiple sets of cube counts (red, green, blue), and the goal is to find the smallest number of each colored cube that could be in a bag to make all revealed sets in a game possible.
### Solution
1. **Parsing Game Data**: Extract and process the data for each game, which involves parsing the counts of each color cube shown in each round of the game.
2. **Identifying Minimum Cube Counts**: For each game, determine the minimum number of cubes of each color that could make the game possible. This is achieved by finding the maximum count shown for each color across all rounds in a game.
3. **Calculating Power and Summing**: Compute the "power" of the cube set for each game (defined as the product of the minimum numbers of red, green, and blue cubes), and then sum these powers across all games.

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Game 1: 8 green; 5 green, 6 blue, 1 red; 2 green, 1 blue, 4 red; 10 green, 1 red, 2 blue; 2 blue, 3 red
Game 2: 10 blue, 12 red; 8 red; 7 green, 5 red, 7 blue
Game 3: 1 red, 15 blue, 3 green; 8 blue, 2 red, 4 green; 2 red, 5 green, 9 blue
Game 4: 8 green, 4 blue, 1 red; 3 green; 4 blue, 1 red, 12 green; 5 green, 1 red, 8 blue; 3 green, 5 blue, 1 red
Game 5: 2 green, 8 blue; 7 blue, 4 green; 7 blue; 5 blue; 5 green, 2 blue, 1 red
Game 6: 6 blue, 3 green; 18 green, 8 blue; 9 green, 4 blue; 4 blue, 2 red, 3 green
Game 7: 15 red, 12 blue, 15 green; 12 blue, 18 green; 9 blue, 11 red; 16 green, 6 blue, 18 red; 6 blue, 12 red; 14 red, 18 green, 12 blue
Game 8: 6 red, 13 blue, 3 green; 18 blue; 3 green, 8 red
Game 9: 3 blue, 4 red; 8 red, 2 blue; 4 green, 8 red, 3 blue; 6 red, 1 blue; 16 green, 2 red, 2 blue
Game 10: 3 red, 7 blue, 2 green; 1 green, 15 red, 5 blue; 1 red, 5 blue; 3 blue, 4 green
Game 11: 12 green, 3 blue; 3 red; 1 red, 6 blue, 9 green; 7 blue, 1 red, 13 green; 1 blue, 5 green, 4 red; 18 green, 3 red
Game 12: 9 green, 13 blue; 3 red, 4 blue, 4 green; 10 green, 7 red, 5 blue; 9 red, 12 blue, 3 green
Game 13: 15 red, 18 blue, 10 green; 11 red, 3 green, 4 blue; 2 green, 12 blue, 4 red
Game 14: 12 blue, 6 red; 2 blue, 7 green, 6 red; 12 blue, 7 green; 4 blue, 1 green, 4 red; 9 green, 12 blue; 3 red, 5 green, 8 blue
Game 15: 9 green, 1 blue; 14 green, 4 red, 1 blue; 1 blue, 6 green, 2 red; 7 red, 13 green, 2 blue; 4 red, 9 green; 2 green, 1 blue, 2 red
Game 16: 3 blue, 2 green, 5 red; 4 green, 3 blue, 4 red; 6 red, 5 blue, 2 green; 3 red, 11 blue; 6 green, 15 blue, 4 red
Game 17: 15 blue, 3 green, 2 red; 2 green, 2 red, 15 blue; 1 red, 1 blue, 7 green
Game 18: 2 blue, 9 red; 12 red, 1 green, 6 blue; 5 red, 5 blue, 2 green
Game 19: 3 red, 4 green, 8 blue; 10 red, 8 green, 1 blue; 13 blue, 7 green, 10 red; 6 red, 1 green, 11 blue; 9 green, 7 blue, 10 red; 7 blue, 7 red
Game 20: 8 blue, 4 green, 14 red; 4 green, 16 red, 1 blue; 10 blue, 14 red, 8 green; 4 green, 13 blue, 20 red; 5 blue, 5 green, 1 red
Game 21: 4 green, 10 blue, 5 red; 11 blue, 4 green, 1 red; 3 blue, 3 red, 2 green; 1 red, 11 blue, 6 green; 1 green, 9 blue, 5 red; 7 blue, 5 green
Game 22: 3 green, 7 blue, 6 red; 12 red, 11 blue, 2 green; 1 blue, 1 green, 15 red; 6 blue, 1 green, 8 red; 4 blue, 1 red; 2 blue, 1 green, 5 red
Game 23: 2 blue, 5 green, 13 red; 1 green, 5 blue, 16 red; 6 blue, 9 green, 9 red; 7 green, 3 blue
Game 24: 2 green; 2 red, 7 blue, 17 green; 5 red, 6 blue, 13 green; 1 green, 6 blue; 2 green, 4 red, 2 blue; 4 blue, 2 green
Game 25: 2 green, 5 blue, 9 red; 2 green, 8 red, 5 blue; 3 green, 1 red, 19 blue
Game 26: 3 green, 2 blue, 8 red; 4 red, 2 blue; 11 red, 3 green; 9 red, 3 green, 6 blue; 10 red, 1 green, 2 blue; 4 blue, 4 green, 14 red
Game 27: 1 green, 4 red, 7 blue; 13 red; 17 red
Game 28: 5 red, 17 green, 15 blue; 7 blue; 7 red, 12 green, 10 blue; 5 red, 11 blue, 3 green
Game 29: 4 blue, 9 red, 9 green; 2 green, 10 red, 2 blue; 3 red, 4 blue, 6 green; 2 green, 17 red, 1 blue; 2 red, 7 green, 1 blue
Game 30: 16 red, 5 blue, 11 green; 5 blue, 5 green, 9 red; 7 green, 1 red, 6 blue
Game 31: 3 green, 11 blue; 5 green; 8 green, 13 blue; 4 red, 10 blue, 8 green
Game 32: 11 blue, 5 green, 4 red; 7 blue; 1 red, 1 green, 7 blue; 7 red, 1 blue, 4 green
Game 33: 7 red, 3 green, 6 blue; 2 red, 16 green, 5 blue; 1 blue, 2 red, 8 green
Game 34: 1 blue, 1 red, 1 green; 9 red, 6 green; 2 blue, 8 red, 6 green; 1 blue, 12 green, 13 red
Game 35: 10 red, 9 green; 1 red, 4 blue, 4 green; 7 blue, 3 green, 4 red
Game 36: 5 red, 6 green, 4 blue; 9 green, 1 red; 12 red, 12 green, 4 blue; 3 red; 18 green, 5 red, 4 blue
Game 37: 10 green, 4 blue, 2 red; 1 red, 3 blue, 9 green; 5 blue, 4 green, 1 red; 6 green, 12 blue; 7 green, 1 red, 13 blue; 9 green, 20 blue, 2 red
Game 38: 9 blue, 20 red, 2 green; 3 blue, 6 green, 19 red; 10 green, 8 red, 2 blue; 4 blue, 4 red, 3 green
Game 39: 4 green, 2 blue, 4 red; 16 blue, 1 red, 2 green; 13 red, 2 green; 16 blue, 7 red, 3 green
Game 40: 8 blue, 2 green, 2 red; 7 blue, 2 red, 1 green; 8 green, 12 blue, 2 red; 2 red, 3 blue, 8 green
Game 41: 9 blue, 2 green; 10 blue, 3 green; 1 green, 9 blue, 3 red; 3 blue, 3 green; 12 blue, 1 red; 3 blue, 1 green, 1 red
Game 42: 1 blue, 1 green, 8 red; 1 blue, 1 red; 2 red, 1 green
Game 43: 5 red, 2 green, 8 blue; 11 blue, 10 green, 1 red; 11 blue, 7 red
Game 44: 9 red, 3 green; 9 red, 1 blue, 6 green; 14 red, 5 green; 4 red, 2 green, 1 blue
Game 45: 5 blue, 1 red, 1 green; 5 blue, 1 red; 6 blue; 10 blue, 1 green; 1 red
Game 46: 4 green, 8 blue, 13 red; 12 green, 11 blue, 12 red; 1 green, 13 red, 1 blue; 12 red, 8 green, 12 blue
Game 47: 1 green, 16 blue, 15 red; 1 blue; 18 red, 10 blue, 9 green; 17 blue, 16 red, 5 green; 2 red, 3 blue, 9 green
Game 48: 2 blue, 4 green; 7 blue, 3 red, 2 green; 17 blue, 13 red; 2 red, 1 green, 9 blue; 2 red, 14 blue
Game 49: 6 red, 2 blue, 3 green; 1 green, 4 blue, 7 red; 5 red, 8 green, 6 blue; 1 red, 9 green
Game 50: 18 red, 4 blue; 6 blue, 3 green, 13 red; 1 green, 7 red, 6 blue
Game 51: 10 blue, 1 green, 9 red; 3 green, 6 blue, 8 red; 4 red, 2 green, 12 blue
Game 52: 7 blue, 1 red, 8 green; 2 red, 9 blue, 8 green; 16 blue, 7 green; 1 red, 11 green, 8 blue; 2 red, 20 blue
Game 53: 8 green, 15 red, 4 blue; 5 green, 13 blue; 6 blue, 6 green, 15 red; 12 blue, 2 green, 2 red
Game 54: 3 green, 5 red, 1 blue; 1 blue, 6 green, 2 red; 4 green, 3 red
Game 55: 12 green, 8 red, 3 blue; 6 blue, 2 red, 7 green; 4 blue, 13 red, 11 green; 12 green, 9 blue, 7 red; 10 red, 6 blue, 3 green
Game 56: 6 red, 1 green, 2 blue; 1 red, 1 green, 3 blue; 12 red, 4 blue, 4 green; 3 green, 5 blue, 1 red; 5 blue, 3 green, 2 red; 1 green, 5 red, 7 blue
Game 57: 1 blue, 1 green, 3 red; 10 red, 6 green, 1 blue; 4 red, 4 green, 2 blue; 7 green, 2 blue, 1 red
Game 58: 5 green, 2 blue, 4 red; 2 red, 2 blue; 5 red, 3 green; 3 blue, 5 green; 6 red, 2 green, 2 blue; 7 red, 3 blue, 5 green
Game 59: 14 red, 9 green; 11 red, 2 blue, 5 green; 18 red, 2 blue, 4 green
Game 60: 16 red, 9 green, 2 blue; 8 green, 17 red; 3 blue, 5 green, 14 red
Game 61: 12 red, 17 blue, 18 green; 1 green, 1 blue; 1 blue, 4 green, 6 red
Game 62: 2 blue, 5 green, 3 red; 1 blue, 7 green, 6 red; 8 blue, 1 red; 4 blue, 5 red, 12 green; 15 blue, 3 green, 1 red
Game 63: 2 blue, 2 red, 1 green; 5 red, 10 blue, 4 green; 4 green, 5 blue, 8 red
Game 64: 2 blue, 14 green; 9 green, 5 red; 7 red, 3 blue, 10 green; 14 green, 2 blue, 5 red
Game 65: 4 green, 7 blue, 1 red; 3 red, 2 green, 7 blue; 5 blue, 2 red, 1 green; 6 blue, 2 green; 7 blue
Game 66: 9 red, 2 green, 5 blue; 5 blue; 8 blue, 5 green, 11 red; 17 blue, 3 green, 14 red; 2 green, 9 blue; 11 red, 4 blue
Game 67: 2 green, 7 red, 8 blue; 6 red, 4 green; 1 red, 3 green, 7 blue; 7 blue, 7 red, 4 green; 2 red, 1 green; 3 green, 6 red, 2 blue
Game 68: 4 red, 2 blue, 5 green; 5 blue, 8 red, 2 green; 11 red, 2 green, 4 blue; 7 red, 5 blue, 3 green
Game 69: 8 blue, 1 green, 4 red; 3 red, 11 blue, 9 green; 12 blue, 10 green; 1 red, 15 blue, 7 green
Game 70: 13 blue, 1 green, 8 red; 15 blue, 10 red; 10 blue, 17 red; 15 red, 4 green, 6 blue; 11 red, 1 blue, 2 green; 14 red, 4 green, 4 blue
Game 71: 1 red, 10 blue; 1 green, 12 blue, 2 red; 4 red, 4 green, 8 blue
Game 72: 2 green, 6 red, 1 blue; 7 red, 4 green, 4 blue; 7 red, 4 blue, 7 green; 7 green, 3 blue; 10 green, 9 blue, 8 red; 5 red, 2 green, 8 blue
Game 73: 8 blue, 2 green, 9 red; 2 green, 10 red, 6 blue; 3 blue, 6 green, 2 red
Game 74: 2 blue, 10 green, 7 red; 4 blue, 13 red, 3 green; 11 green, 3 red, 4 blue
Game 75: 14 green, 1 red, 7 blue; 15 blue, 11 green, 1 red; 11 green, 15 blue, 6 red
Game 76: 7 green, 7 red, 2 blue; 4 blue, 18 red, 9 green; 12 red, 4 blue, 1 green
Game 77: 3 blue, 1 green, 12 red; 10 green, 13 red, 7 blue; 7 green, 12 red; 6 blue, 10 red; 5 blue, 3 green, 17 red; 3 green, 5 blue, 13 red
Game 78: 11 red, 9 blue; 2 red, 7 blue; 12 red, 7 blue, 3 green; 3 green, 8 red, 9 blue; 1 green, 5 red, 6 blue
Game 79: 6 red, 12 blue; 5 red, 4 green, 11 blue; 13 blue, 2 green, 3 red
Game 80: 7 red, 6 blue; 2 green, 7 red, 6 blue; 5 blue, 6 red, 2 green; 1 green, 7 red, 2 blue; 4 green, 6 blue, 7 red; 1 green, 6 red, 10 blue
Game 81: 10 blue, 7 green, 3 red; 7 green, 3 red, 16 blue; 18 blue, 3 red, 7 green
Game 82: 7 red, 5 blue, 9 green; 7 blue, 8 green, 11 red; 1 blue, 1 green, 10 red; 5 red, 8 blue, 7 green; 6 red, 10 green, 2 blue; 3 blue, 5 green, 10 red
Game 83: 2 red, 2 green, 1 blue; 2 green, 2 red; 6 red, 1 green; 8 red, 1 blue, 1 green; 1 red, 1 green; 3 red
Game 84: 9 red, 4 green; 1 red, 13 green, 2 blue; 2 green, 15 red, 2 blue
Game 85: 2 green, 4 red; 1 blue; 2 green, 4 red, 1 blue
Game 86: 2 green, 10 red, 3 blue; 3 red, 5 blue; 3 green, 2 blue, 8 red; 1 blue, 5 red, 2 green
Game 87: 19 green, 9 blue, 7 red; 12 red, 15 green; 4 blue, 8 green; 6 green, 3 red, 11 blue; 16 green, 4 blue, 11 red; 10 red, 4 blue, 9 green
Game 88: 6 red, 2 green; 10 red, 4 green, 4 blue; 1 blue, 8 red, 12 green; 7 green, 2 blue, 12 red; 1 green, 5 blue, 16 red; 10 red, 5 blue
Game 89: 1 red, 14 blue, 1 green; 1 red, 12 blue, 8 green; 2 red, 13 blue, 11 green; 8 blue, 4 red, 16 green; 4 red, 5 blue; 6 blue, 1 red, 1 green
Game 90: 3 blue, 9 green, 5 red; 4 green, 6 red, 1 blue; 2 blue, 12 green, 5 red; 1 green, 1 blue, 3 red; 5 red, 3 green
Game 91: 8 green, 3 blue, 8 red; 8 green, 4 blue, 4 red; 5 red, 1 green
Game 92: 1 green, 9 red; 1 red, 4 blue; 9 red, 2 green; 3 red, 1 blue
Game 93: 1 red, 16 green, 5 blue; 1 red, 1 green, 4 blue; 4 blue, 6 red, 13 green
Game 94: 9 red, 9 blue, 3 green; 5 green, 11 blue, 1 red; 3 red, 6 blue
Game 95: 2 green, 4 blue; 8 green, 2 blue, 12 red; 10 red, 9 green; 4 red, 2 blue, 4 green; 8 blue, 7 green, 14 red; 1 blue, 4 red, 8 green
Game 96: 12 red, 2 blue, 8 green; 6 green, 6 red; 7 blue, 8 green, 6 red; 14 red, 8 green; 2 blue, 4 green, 10 red; 6 green, 7 blue, 7 red
Game 97: 4 green, 12 red, 2 blue; 8 blue, 3 red, 3 green; 2 blue, 2 red, 7 green; 17 blue, 1 green, 7 red; 19 blue, 1 red, 6 green; 6 green, 7 red, 9 blue
Game 98: 13 red, 15 green, 14 blue; 6 blue, 1 green; 14 blue, 12 red, 1 green
Game 99: 1 green, 11 red, 12 blue; 7 red, 20 blue, 1 green; 5 blue, 5 red; 6 blue, 4 red; 1 blue, 1 green; 6 red, 8 blue
Game 100: 2 red, 9 green, 11 blue; 13 blue, 4 red, 16 green; 8 green, 13 blue; 10 green, 1 red, 12 blue

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def parse_game_data(line):
"""
Parses a line of game data to extract the game ID and the counts of each color.
Args:
line (str): A line of game data.
Returns:
int, dict: Game ID and a dictionary with color counts.
"""
parts = line.split(': ')
game_id = int(parts[0].split(' ')[1])
color_counts = {'red': 0, 'green': 0, 'blue': 0}
subsets = parts[1].split('; ')
for subset in subsets:
colors = subset.split(', ')
for color in colors:
count, color_name = color.split(' ')
color_name = color_name.strip() # Remove any trailing whitespace or newline characters
color_counts[color_name] = max(color_counts[color_name], int(count))
return game_id, color_counts
def is_game_possible(game_data, red_cubes, green_cubes, blue_cubes):
"""
Determines if a game is possible given the number of each color of cubes.
Args:
game_data (dict): Color counts for a game.
red_cubes (int): Number of red cubes.
green_cubes (int): Number of green cubes.
blue_cubes (int): Number of blue cubes.
Returns:
bool: True if the game is possible, False otherwise.
"""
return (game_data['red'] <= red_cubes and
game_data['green'] <= green_cubes and
game_data['blue'] <= blue_cubes)
def process_games(file_path, red_cubes, green_cubes, blue_cubes):
"""
Processes the games from a file and finds the sum of IDs of possible games.
Args:
file_path (str): Path to the file containing game data.
red_cubes (int): Number of red cubes.
green_cubes (int): Number of green cubes.
blue_cubes (int): Number of blue cubes.
Returns:
int: Sum of IDs of possible games.
"""
with open(file_path, 'r') as file:
lines = file.readlines()
sum_of_ids = 0
for line in lines:
game_id, game_data = parse_game_data(line)
if is_game_possible(game_data, red_cubes, green_cubes, blue_cubes):
sum_of_ids += game_id
return sum_of_ids
def test():
print("start testing")
# Test the function
result = process_games('../test.txt', 12, 13, 14)
# Assertion for testing
assert result == 8, f"Expected sum of IDs to be 8, but got {result}"
print(f"Test Passed: Sum of IDs for possible games is {result}\n")
# Run the test
test()
# Process the actual input file
result = process_games('../input.txt', 12, 13, 14)
print(f"From input.txt: Sum of IDs for possible games is {result}")

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def parse_game_data(line):
"""
Parses a line of game data to extract the game ID and the counts of each color.
Args:
line (str): A line of game data.
Returns:
int, dict: Game ID and a dictionary with color counts.
"""
parts = line.split(': ')
game_id = int(parts[0].split(' ')[1])
color_counts = {'red': 0, 'green': 0, 'blue': 0}
subsets = parts[1].split('; ')
for subset in subsets:
colors = subset.split(', ')
for color in colors:
count, color_name = color.split(' ')
color_name = color_name.strip() # Remove any trailing whitespace or newline characters
color_counts[color_name] = max(color_counts[color_name], int(count))
return game_id, color_counts
def calculate_power_of_set(game_data):
"""
Calculates the power of the cube set.
Args:
game_data (dict): The minimum number of cubes of each color.
Returns:
int: The power of the cube set.
"""
return game_data['red'] * game_data['green'] * game_data['blue']
def process_games(file_path):
"""
Processes the games from a file and finds the sum of the power of the minimum sets.
Args:
file_path (str): Path to the file containing game data.
Returns:
int: Sum of the power of the minimum cube sets.
"""
with open(file_path, 'r') as file:
lines = file.readlines()
sum_of_powers = 0
for line in lines:
_, game_data = parse_game_data(line)
power = calculate_power_of_set(game_data)
sum_of_powers += power
return sum_of_powers
def test():
print("start testing")
sum_of_powers = process_games('../test.txt')
# Assertion for testing
assert sum_of_powers == 2286, f"Expected sum of powers to be 2286, but got {sum_of_powers}"
print(f"Test Passed: Sum of powers for the minimum cube sets is {sum_of_powers}\n")
# Run the test
test()
# Process the actual input file
sum_of_powers = process_games('../input.txt')
print(f"From input.txt: Sum of powers for the minimum cube sets is {sum_of_powers}")

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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