aoc2020/day13.py
2020-12-13 11:21:53 +01:00

37 lines
1.2 KiB
Python

import aoclib
import math
DAY = 13
TEST_SOLUTION_PART1 = 295
TEST_SOLUTION_PART2 = 1068781
def part1(test_mode=False):
my_input = aoclib.getInputAsArraySplit(day=DAY, split_char=",", test=test_mode)
my_arrival = int(my_input[0][0])
bus_ids = [int(i) for i in my_input[1] if i != 'x']
waiting_times = [i - my_arrival % i for i in bus_ids]
min_waiting_time = min(waiting_times)
return min_waiting_time * bus_ids[waiting_times.index(min_waiting_time)]
def part2(test_mode=False):
my_input = aoclib.getInputAsArraySplit(day=DAY, split_char=",", test=test_mode)
bus_ids = {-i: int(v) for i, v in enumerate(my_input[1]) if v != 'x'}
lowest_common_multiple = math.lcm(*bus_ids.values())
base_multipliers = [lowest_common_multiple // interval for interval in bus_ids.values()]
modular_multiplicative_inverses = [
pow(base_multiplier, -1, interval)
for base_multiplier, interval
in zip(base_multipliers, bus_ids.values())
]
return sum(
offset * multiplier * mmi
for offset, multiplier, mmi
in zip(bus_ids.keys(), base_multipliers, modular_multiplicative_inverses)
) % lowest_common_multiple