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case class Particle(x: Long, y: Long, z: Long, dx: Long, dy: Long, dz: Long)
def parseParticle(a: String): Option[Particle] = a match
case s"$x, $y, $z @ $dx, $dy, $dz" => Some(Particle(x.toLong, y.toLong, z.toLong, dx.trim.toLong, dy.trim.toLong, dz.trim.toLong))
case _ => None
def intersect(min: Double, max: Double)(p: Particle, q: Particle): Boolean =
val n = p.dx * q.y - p.y * p.dx - q.x * p.dy + p.x * p.dy
val d = p.dy * q.dx - p.dx * q.dy
if(d == 0) then false else
val k = n.toDouble/d
val k2 = (q.y + k * q.dy - p.y)/p.dy
val ix = q.x + k * q.dx
val iy = q.y + k * q.dy
k2 >= 0 && k >= 0 && min <= ix && ix <= max && min <= iy && iy <= max
def task1(a: List[String]): Long =
val particles = a.flatMap(parseParticle)
particles.combinations(2).count(l => intersect(2e14, 4e14)(l(0), l(1)))
import re as re2
from sympy import *
p, v, times, eqs = symbols('x y z'), symbols('dx dy dz'), [], []
defparse_eq(i: int, s: str):
parts = [int(p) for p in re2.split(r'[,\s@]+', s) if p.strip() != '']
time = Symbol(f't{i}')
times.append(time)
for rp, rv, hp, hv inzip(p, v, parts[:3], parts[3:]):
eqs.append(Eq(rp + time * rv, hp + time * hv))
# need 3 equations for result, everything after that just slows things down
neq = 3withopen('task1.txt', 'r') as fobj:
for i, s inzip(range(neq), fobj.readlines()):
parse_eq(i, s)
for sol in solve(eqs, list(p) + list(v) + times):
x, y, z, *_ = sol
print(x + y + z)
Scala3, Sympy
import re as re2 from sympy import * p, v, times, eqs = symbols('x y z'), symbols('dx dy dz'), [], [] def parse_eq(i: int, s: str): parts = [int(p) for p in re2.split(r'[,\s@]+', s) if p.strip() != ''] time = Symbol(f't{i}') times.append(time) for rp, rv, hp, hv in zip(p, v, parts[:3], parts[3:]): eqs.append(Eq(rp + time * rv, hp + time * hv)) # need 3 equations for result, everything after that just slows things down neq = 3 with open('task1.txt', 'r') as fobj: for i, s in zip(range(neq), fobj.readlines()): parse_eq(i, s) for sol in solve(eqs, list(p) + list(v) + times): x, y, z, *_ = sol print(x + y + z)