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AdventOfCode/2020/solutions/day_13.py
2020-12-25 23:50:29 +01:00

88 lines
2.5 KiB
Python

"""AOC 2020 Day 13"""
import pathlib
import time
TEST_INPUT = """939
7,13,x,x,59,x,31,19"""
def read_input(input_path: str) -> str:
"""take input file path and return a str with the file's content"""
with open(input_path, 'r') as input_file:
input_data = input_file.read().strip()
return input_data
def extract(input_data: str) -> tuple:
"""take input data and return the appropriate data structure"""
entries = input_data.split('\n')
departure_ts = int(entries[0])
timetable = entries[1].split(',')
ids = [(-index, int(bus_id)) for index, bus_id in enumerate(timetable) if bus_id != 'x']
return (departure_ts, ids)
def egcd(a, b):
""""extended euclidean algorithm"""
if a == 0:
return (b, 0, 1)
g, y, x = egcd(b % a, a)
return (g, x - (b // a) * y, y)
def modinv(x, m):
"""calculate the modular multiplicative inverse"""
g, inv, _ = egcd(x, m)
assert g == 1
return inv % m
def part1(entries: tuple) -> int:
"""part1 solver"""
wait_time = float('inf')
best_bus_id = -1
min_dep_time = entries[0]
for _, bus_id in entries[1]:
if min_dep_time % bus_id == 0:
multiple = min_dep_time // bus_id
else:
multiple = (min_dep_time // bus_id) + 1
time_diff = (bus_id * multiple) - min_dep_time
if time_diff < wait_time:
wait_time = time_diff
best_bus_id = bus_id
return wait_time * best_bus_id
def part2(entries: tuple) -> int:
"""part2 solver"""
min_timestamp = 0
moduli_product = 1
for _, modulo in entries[1]:
moduli_product *= modulo
for remainder, modulo in entries[1]:
ni = moduli_product // modulo
modulo_inv = modinv(ni, modulo)
min_timestamp += (remainder * ni * modulo_inv)
return min_timestamp % moduli_product
def test_input_day_13():
"""pytest testing function"""
entries = extract(TEST_INPUT)
assert part1(entries) == 295
assert part2(entries) == 1068781
def test_bench_day_13(benchmark):
"""pytest-benchmark function"""
benchmark(main)
def main():
"""main function"""
input_path = str(pathlib.Path(__file__).resolve().parent.parent) + "/inputs/" + str(pathlib.Path(__file__).stem)
start_time = time.time()
input_data = read_input(input_path)
entries = extract(input_data)
print("Part 1: %d" % part1(entries))
print("Part 2: %d" % part2(entries))
end_time = time.time()
print("Execution time: %f" % (end_time-start_time))
if __name__ == "__main__":
main()