Minor cleaning 2023.
This commit is contained in:
parent
d002e419c3
commit
3a9c7e728b
19
poetry.lock
generated
19
poetry.lock
generated
@ -566,6 +566,23 @@ doc = ["nb2plots (>=0.7)", "nbconvert (<7.9)", "numpydoc (>=1.6)", "pillow (>=9.
|
|||||||
extra = ["lxml (>=4.6)", "pydot (>=1.4.2)", "pygraphviz (>=1.11)", "sympy (>=1.10)"]
|
extra = ["lxml (>=4.6)", "pydot (>=1.4.2)", "pygraphviz (>=1.11)", "sympy (>=1.10)"]
|
||||||
test = ["pytest (>=7.2)", "pytest-cov (>=4.0)"]
|
test = ["pytest (>=7.2)", "pytest-cov (>=4.0)"]
|
||||||
|
|
||||||
|
[[package]]
|
||||||
|
name = "networkx-stubs"
|
||||||
|
version = "0.0.1"
|
||||||
|
description = "Typing stubs for NetworkX"
|
||||||
|
optional = false
|
||||||
|
python-versions = "*"
|
||||||
|
files = [
|
||||||
|
{file = "networkx-stubs-0.0.1.tar.gz", hash = "sha256:1751cbc87898328f89d79476ec6363174c05f9e48592f0953cc1077188717a21"},
|
||||||
|
{file = "networkx_stubs-0.0.1-py3-none-any.whl", hash = "sha256:ce58dff9b9dcbfdf895d0fce20fa8a73f2e82e581004596b7552086b5bb91366"},
|
||||||
|
]
|
||||||
|
|
||||||
|
[package.dependencies]
|
||||||
|
networkx = "*"
|
||||||
|
|
||||||
|
[package.extras]
|
||||||
|
dev = ["black", "flake8", "flake8-black", "flake8-pyi", "mypy", "setuptools", "wheel"]
|
||||||
|
|
||||||
[[package]]
|
[[package]]
|
||||||
name = "nodeenv"
|
name = "nodeenv"
|
||||||
version = "1.8.0"
|
version = "1.8.0"
|
||||||
@ -1375,4 +1392,4 @@ files = [
|
|||||||
[metadata]
|
[metadata]
|
||||||
lock-version = "2.0"
|
lock-version = "2.0"
|
||||||
python-versions = "^3.10"
|
python-versions = "^3.10"
|
||||||
content-hash = "b05e052aed9ec92c0edf386f9143271d69f3fc6e4c56a638721a16d7fcb2065b"
|
content-hash = "0b582360ca444fe39469eaa4a242c74c516ef5e1cf8d4d69be7623dbbd3d6e6b"
|
||||||
|
@ -45,6 +45,7 @@ isort = "^5.13.2"
|
|||||||
ruff = "^0.1.8"
|
ruff = "^0.1.8"
|
||||||
poethepoet = "^0.24.4"
|
poethepoet = "^0.24.4"
|
||||||
ipykernel = "^6.27.1"
|
ipykernel = "^6.27.1"
|
||||||
|
networkx-stubs = "^0.0.1"
|
||||||
|
|
||||||
[build-system]
|
[build-system]
|
||||||
requires = ["poetry-core"]
|
requires = ["poetry-core"]
|
||||||
|
@ -1,11 +1,8 @@
|
|||||||
import sys
|
import sys
|
||||||
from collections import defaultdict
|
|
||||||
from dataclasses import dataclass
|
|
||||||
import numpy as np
|
import numpy as np
|
||||||
|
|
||||||
from sympy import solve, symbols
|
from sympy import solve, symbols
|
||||||
|
|
||||||
|
|
||||||
lines = sys.stdin.read().splitlines()
|
lines = sys.stdin.read().splitlines()
|
||||||
|
|
||||||
positions = [
|
positions = [
|
||||||
@ -19,7 +16,7 @@ velocities = [
|
|||||||
low, high = [7, 27] if len(positions) <= 10 else [200000000000000, 400000000000000]
|
low, high = [7, 27] if len(positions) <= 10 else [200000000000000, 400000000000000]
|
||||||
count = 0
|
count = 0
|
||||||
for i, (p1, v1) in enumerate(zip(positions, velocities)):
|
for i, (p1, v1) in enumerate(zip(positions, velocities)):
|
||||||
for p2, v2 in zip(positions[i + 1:], velocities[i + 1:]):
|
for p2, v2 in zip(positions[i + 1 :], velocities[i + 1 :]):
|
||||||
p, r = p1[:2], v1[:2]
|
p, r = p1[:2], v1[:2]
|
||||||
q, s = p2[:2], v2[:2]
|
q, s = p2[:2], v2[:2]
|
||||||
|
|
||||||
@ -31,7 +28,7 @@ for i, (p1, v1) in enumerate(zip(positions, velocities)):
|
|||||||
continue
|
continue
|
||||||
else:
|
else:
|
||||||
assert rs != 0
|
assert rs != 0
|
||||||
t = np.cross((q - p), s) / rs
|
t = np.cross((q - p), s) / rs
|
||||||
u = np.cross((q - p), r) / rs
|
u = np.cross((q - p), r) / rs
|
||||||
|
|
||||||
if t >= 0 and u >= 0:
|
if t >= 0 and u >= 0:
|
||||||
@ -50,14 +47,16 @@ print(f"answer 1 is {answer_1}")
|
|||||||
# p3 + t3 * v3 == p0 + t3 * v0
|
# p3 + t3 * v3 == p0 + t3 * v0
|
||||||
# ...
|
# ...
|
||||||
# pn + tn * vn == p0 + tn * v0
|
# pn + tn * vn == p0 + tn * v0
|
||||||
#
|
#
|
||||||
|
|
||||||
# we can solve with only 3 lines since each lines contains 3
|
# we can solve with only 3 lines since each lines contains 3
|
||||||
# equations (x / y / z), so 3 lines give 9 equations and 9
|
# equations (x / y / z), so 3 lines give 9 equations and 9
|
||||||
# variables: position (3), velocities (3) and times (3).
|
# variables: position (3), velocities (3) and times (3).
|
||||||
n = 3
|
n = 3
|
||||||
|
|
||||||
x, y, z, vx, vy, vz, *ts = symbols('x y z vx vy vz ' + ' '.join(f't{i}' for i in range(n + 1)))
|
x, y, z, vx, vy, vz, *ts = symbols(
|
||||||
|
"x y z vx vy vz " + " ".join(f"t{i}" for i in range(n + 1))
|
||||||
|
)
|
||||||
equations = []
|
equations = []
|
||||||
for i, ti in zip(range(n), ts):
|
for i, ti in zip(range(n), ts):
|
||||||
for p, d, pi, di in zip((x, y, z), (vx, vy, vz), positions[i], velocities[i]):
|
for p, d, pi, di in zip((x, y, z), (vx, vy, vz), positions[i], velocities[i]):
|
||||||
|
@ -1,24 +1,20 @@
|
|||||||
import sys
|
import sys
|
||||||
from collections import defaultdict
|
|
||||||
from dataclasses import dataclass
|
|
||||||
import networkx as nx
|
import networkx as nx
|
||||||
|
|
||||||
components = {
|
components = {
|
||||||
(p := line.split(": "))[0]: p[1].split() for line in sys.stdin.read().splitlines()
|
(p := line.split(": "))[0]: p[1].split() for line in sys.stdin.read().splitlines()
|
||||||
}
|
}
|
||||||
|
|
||||||
targets = {
|
targets = {t for c in components for t in components[c] if t not in components}
|
||||||
t for c in components for t in components[c] if t not in components
|
|
||||||
}
|
|
||||||
|
|
||||||
G = nx.Graph()
|
graph = nx.Graph()
|
||||||
G.add_nodes_from(list(components) + list(targets))
|
graph.add_edges_from((u, v) for u, vs in components.items() for v in vs)
|
||||||
G.add_edges_from((u, v) for u, vs in components.items() for v in vs)
|
|
||||||
|
|
||||||
cut = nx.minimum_edge_cut(G)
|
cut = nx.minimum_edge_cut(graph)
|
||||||
G.remove_edges_from(cut)
|
graph.remove_edges_from(cut)
|
||||||
|
|
||||||
c1, c2 = nx.connected_components(G)
|
c1, c2 = nx.connected_components(graph)
|
||||||
|
|
||||||
# part 1
|
# part 1
|
||||||
answer_1 = len(c1) * len(c2)
|
answer_1 = len(c1) * len(c2)
|
||||||
|
Loading…
Reference in New Issue
Block a user