Seongbeom Park 6bcc561a2e handling direction with zeros
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2022-04-03 15:44:38 +09:00

67 lines
2.9 KiB
Python

def solution(dimentions, your_position, trainer_position, distance):
direction_target_map = {}
for reflected_position, is_trainer in generate_reflected_positions(dimentions, your_position, trainer_position, distance):
direction = reduce_direction((reflected_position[0] - your_position[0], reflected_position[1] - your_position[1]))
travel = travel_distance(your_position, reflected_position)
if (direction in direction_target_map):
if travel < direction_target_map[direction][0]:
direction_target_map[direction] = (travel, is_trainer)
else:
direction_target_map[direction] = (travel, is_trainer)
return len([k for k, (d, is_trainer) in direction_target_map.items() if is_trainer])
def generate_reflected_positions(dimentions, your_position, trainer_position, distance):
room_width, room_height = dimentions
x_range = distance // room_width + 1
y_range = distance // room_height + 1
for room_x in range(-x_range, x_range):
for room_y in range(-y_range, y_range):
x_reflected = room_x % 2 == 1
y_reflected = room_y % 2 == 1
x_base, y_base = room_x*room_width, room_y*room_height
your_x_offset, your_y_offset = your_position
trainer_x_offset, trainer_y_offset = trainer_position
if (x_reflected):
your_x_offset = room_width - your_x_offset
trainer_x_offset = room_width - trainer_x_offset
if (y_reflected):
your_y_offset = room_height - your_y_offset
trainer_y_offset = room_height - trainer_y_offset
reflected_your_position = x_base + your_x_offset, y_base + your_y_offset
reflected_trainer_position = x_base + trainer_x_offset, y_base + trainer_y_offset
reflected_your_distance = travel_distance(your_position, reflected_your_position)
reflected_trainer_distance = travel_distance(your_position, reflected_trainer_position)
if reflected_your_distance <= distance:
yield reflected_your_position, False
if reflected_trainer_distance <= distance:
yield reflected_trainer_position, True
def abs_gcd(x, y):
m, n = abs(x), abs(y)
while n != 0:
t = m % n
m, n = n, t
return abs(m)
def reduce_direction(direction):
if direction[0] == 0 and direction[1] == 0:
return 0, 0
elif direction[0] == 0:
return 0, direction[1] / abs(direction[1])
elif direction[1] == 0:
return direction[0] / abs(direction[0]), 0
gcd = abs_gcd(direction[0], direction[1])
return direction[0]/gcd, direction[1]/gcd
def travel_distance(origin, target):
return ((target[0] - origin[0])**2 + (target[1] - origin[1])**2) ** 0.5
tests = [
(([3, 2], [1, 1], [2, 1], 4), 7),
(([300,275], [150,150], [185,100], 500), 9)
]
for i, o in tests:
result = solution(*i)
print(i, result == o, result, o)