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packages = [{ include = "holt59", from = "src" }] python = "^3.10" numpy = "^1.26.2" tqdm = "^4.66.1" +parse = "^1.20.0" +scipy = "^1.11.4" +ortools = "^9.8.3296" +sympy = "^1.12" +networkx = "^3.2.1" [tool.poetry.scripts] holt59-aoc = "holt59.aoc.__main__:main" @@ -39,6 +44,7 @@ mypy = "^1.7.1" isort = "^5.13.2" ruff = "^0.1.8" poethepoet = "^0.24.4" +ipykernel = "^6.27.1" [build-system] requires = ["poetry-core"] diff --git a/src/holt59/aoc/2023/day24.py b/src/holt59/aoc/2023/day24.py index 992bf35..e7e481a 100644 --- a/src/holt59/aoc/2023/day24.py +++ b/src/holt59/aoc/2023/day24.py @@ -1,13 +1,69 @@ import sys from collections import defaultdict from dataclasses import dataclass +import numpy as np + +from sympy import solve, symbols + lines = sys.stdin.read().splitlines() +positions = [ + np.array([int(c) for c in line.split("@")[0].strip().split(", ")]) for line in lines +] +velocities = [ + np.array([int(c) for c in line.split("@")[1].strip().split(", ")]) for line in lines +] + # part 1 -answer_1 = ... +low, high = [7, 27] if len(positions) <= 10 else [200000000000000, 400000000000000] +count = 0 +for i, (p1, v1) in enumerate(zip(positions, velocities)): + for p2, v2 in zip(positions[i + 1:], velocities[i + 1:]): + p, r = p1[:2], v1[:2] + q, s = p2[:2], v2[:2] + + rs = np.cross(r, s) + qpr = np.cross((q - p), r) + + if rs == 0: + # assume there are no colinear lines + continue + else: + assert rs != 0 + t = np.cross((q - p), s) / rs + u = np.cross((q - p), r) / rs + + if t >= 0 and u >= 0: + c = p + t * r + + if low <= c[0] <= high and low <= c[1] <= high: + count += 1 + +answer_1 = count print(f"answer 1 is {answer_1}") # part 2 -answer_2 = ... +# equation +# p1 + t1 * v1 == p0 + t1 * v0 +# p2 + t2 * v2 == p0 + t2 * v0 +# p3 + t3 * v3 == p0 + t3 * v0 +# ... +# pn + tn * vn == p0 + tn * v0 +# + +# we can solve with only 3 lines since each lines contains 3 +# equations (x / y / z), so 3 lines give 9 equations and 9 +# variables: position (3), velocities (3) and times (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))) +equations = [] +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]): + equations.append(p + ti * d - pi - ti * di) + +r = solve(equations, [x, y, z, vx, vy, vz] + list(ts), dict=True)[0] + +answer_2 = r[x] + r[y] + r[z] print(f"answer 2 is {answer_2}") diff --git a/src/holt59/aoc/inputs/holt59/2023/day24.txt b/src/holt59/aoc/inputs/holt59/2023/day24.txt index e69de29..8fd4e47 100644 --- a/src/holt59/aoc/inputs/holt59/2023/day24.txt +++ b/src/holt59/aoc/inputs/holt59/2023/day24.txt @@ -0,0 +1,300 @@ +277884961010842, 175505292281521, 178142491715369 @ 254, 319, -117 +283566174834691, 323964410438583, 66367418575791 @ 127, -467, 561 +292968982192924, 251621777313874, 229787798929295 @ 24, 26, 5 +325006807232388, 279854404838739, 237875036704901 @ -52, -21, 14 +331644578534356, 338678098724971, 374203537734425 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