Solution to problem 13 in Python
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src/P13.py
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91
src/P13.py
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# --- Day 13: Shuttle Search ---
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# Your ferry can make it safely to a nearby port, but it won't get much
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# further. When you call to book another ship, you discover that no ships
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# embark from that port to your vacation island. You'll need to get from the
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# port to the nearest airport.
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# Fortunately, a shuttle bus service is available to bring you from the sea
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# port to the airport! Each bus has an ID number that also indicates how often
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# the bus leaves for the airport.
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# Bus schedules are defined based on a timestamp that measures the number of
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# minutes since some fixed reference point in the past. At timestamp 0, every
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# bus simultaneously departed from the sea port. After that, each bus travels
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# to the airport, then various other locations, and finally returns to the sea
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# port to repeat its journey forever.
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# The time this loop takes a particular bus is also its ID number: the bus with
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# ID 5 departs from the sea port at timestamps 0, 5, 10, 15, and so on. The bus
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# with ID 11 departs at 0, 11, 22, 33, and so on. If you are there when the bus
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# departs, you can ride that bus to the airport!
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# Your notes (your puzzle input) consist of two lines. The first line is your
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# estimate of the earliest timestamp you could depart on a bus. The second line
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# lists the bus IDs that are in service according to the shuttle company;
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# entries that show x must be out of service, so you decide to ignore them.
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# To save time once you arrive, your goal is to figure out the earliest bus you
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# can take to the airport. (There will be exactly one such bus.)
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# For example, suppose you have the following notes:
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# 939
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# 7,13,x,x,59,x,31,19
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# Here, the earliest timestamp you could depart is 939, and the bus IDs in
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# service are 7, 13, 59, 31, and 19. Near timestamp 939, these bus IDs depart
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# at the times marked D:
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# time bus 7 bus 13 bus 59 bus 31 bus 19
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# 929 . . . . .
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# 930 . . . D .
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# 931 D . . . D
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# 932 . . . . .
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# 933 . . . . .
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# 934 . . . . .
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# 935 . . . . .
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# 936 . D . . .
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# 937 . . . . .
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# 938 D . . . .
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# 939 . . . . .
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# 940 . . . . .
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# 941 . . . . .
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# 942 . . . . .
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# 943 . . . . .
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# 944 . . D . .
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# 945 D . . . .
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# 946 . . . . .
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# 947 . . . . .
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# 948 . . . . .
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# 949 . D . . .
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# The earliest bus you could take is bus ID 59. It doesn't depart until
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# timestamp 944, so you would need to wait 944 - 939 = 5 minutes before it
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# departs. Multiplying the bus ID by the number of minutes you'd need to wait
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# gives 295.
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# What is the ID of the earliest bus you can take to the airport multiplied by
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# the number of minutes you'll need to wait for that bus?
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from copy import copy
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with open("files/P13.txt", "r") as f:
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start = int(f.readline())
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buses = [int(bus) for bus in f.readline().strip().split(",") if bus != "x"]
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def part_1() -> None:
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wait = copy(start)
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found = False
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while not found:
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for bus in buses:
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if wait % bus == 0:
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print(f"Solution to part 1 is {str((wait - start) * bus)}")
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found = True
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break
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wait += 1
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if __name__ == "__main__":
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part_1()
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