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import itertools
import primefac
class Moon(object):
def __init__(self, x, y, z):
self.x = x
self.y = y
self.z = z
self.dx = 0
self.dy = 0
self.dz = 0
def step(self):
self.x += self.dx
self.y += self.dy
self.z += self.dz
def gx(self, other):
if self.x < other.x:
self.dx += 1
other.dx -= 1
def gy(self, other):
if self.y < other.y:
self.dy += 1
other.dy -= 1
def gz(self, other):
if self.z < other.z:
self.dz += 1
other.dz -= 1
def gravity(self, other):
self.gx(other)
self.gy(other)
self.gz(other)
def get_x(self):
return self.x, self.dx
def get_y(self):
return self.y, self.dy
def get_z(self):
return self.z, self.dz
def get(self):
return self.get_x, self.get_y, self.get_z
def pt1(input):
moons = []
for line in input:
dims = line.rstrip().split(",")
x = int(dims[0][3:])
y = int(dims[1][3:])
z = int(dims[2][3:-1])
moons.append(Moon(x, y, z))
for _ in range(1000):
for pair in itertools.permutations(moons, 2):
pair[0].gravity(pair[1])
for moon in moons:
moon.step()
tot = 0
for moon in moons:
pot = abs(moon.x) + abs(moon.y) + abs(moon.z)
kin = abs(moon.dx) + abs(moon.dy) + abs(moon.dz)
tot += pot*kin
return tot
def pt2(input):
moons = []
xs = 0
ys = 0
zs = 0
for line in input:
dims = line.rstrip().split(",")
x = int(dims[0][3:])
y = int(dims[1][3:])
z = int(dims[2][3:-1])
moons.append(Moon(x, y, z))
# x
states = {}
i = -1
while 1:
i += 1
if tuple(moon.get_x() for moon in moons) in states:
xs = i
break
states[tuple(moon.get_x() for moon in moons)] = i
for pair in itertools.permutations(moons, 2):
pair[0].gx(pair[1])
for moon in moons:
moon.step()
# y
states = {}
i = -1
while 1:
i += 1
if tuple(moon.get_y() for moon in moons) in states:
ys = i
break
states[tuple(moon.get_y() for moon in moons)] = i
for pair in itertools.permutations(moons, 2):
pair[0].gy(pair[1])
for moon in moons:
moon.step()
# z
states = {}
i = -1
while 1:
i += 1
if tuple(moon.get_z() for moon in moons) in states:
zs = i
break
states[tuple(moon.get_z() for moon in moons)] = i
for pair in itertools.permutations(moons, 2):
pair[0].gz(pair[1])
for moon in moons:
moon.step()
factors = [primefac.factorint(n) for n in (xs, ys, zs)]
nums = {}
for factor in factors:
for n in factor:
nums[n] = max(nums.get(n, 0), factor[n])
ans = 1
for n in nums:
ans *= n ** nums[n]
return ans
if __name__ == "__main__":
import cProfile
input = open("../input/12", "r").readlines()
cProfile.run("pt1(input)")
cProfile.run("pt2(input)")
print(pt1(input))
print(pt2(input))
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