Verifying solution... Test 1 failed Test 2 passed! Test 3 failed [Hidden] Test 4 passed! [Hidden] Test 5 passed! [Hidden] Test 6 passed! [Hidden] Test 7 passed! [Hidden] Test 8 passed! [Hidden] Test 9 passed! [Hidden] Test 10 passed! [Hidden]
63 lines
2.8 KiB
Python
63 lines
2.8 KiB
Python
def solution(dimentions, your_position, trainer_position, distance):
|
|
direction_target_map = {}
|
|
for reflected_position, is_trainer in generate_relected_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_relected_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 or direction[1] == 0:
|
|
return direction
|
|
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)
|