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aoc/AOC2019/Day12.cs

113 lines
2.7 KiB
C#

namespace AOC2019;
public sealed class Day12 : Day
{
private readonly List<Position> _moons;
private int _step;
public Day12() : base(2019, 12, "The N-Body Problem")
{
_moons = Input
.Select(moon =>
moon
.TrimStart('<')
.TrimEnd('>')
.Split(",")
.Select(val => int.Parse(val.Split("=").Last()))
)
.Select(moon => new Position(moon.ToList()))
.ToList();
foreach (var moon in _moons)
moon.SetSiblings(_moons);
}
private void Step()
{
foreach (var moon in _moons)
moon.Gravitate();
foreach (var moon in _moons)
moon.Move();
_step++;
}
public override string Part1()
{
while (_step < 1000)
Step();
return $"{_moons.Sum(p => p.TotalEnergy)}";
}
public override string Part2()
{
int cycleX = 0, cycleY = 0, cycleZ = 0;
while (cycleX == 0 || cycleY == 0 || cycleZ == 0)
{
Step();
if (cycleX == 0 && _moons.All(m => m.Dx == 0)) cycleX = _step * 2;
if (cycleY == 0 && _moons.All(m => m.Dy == 0)) cycleY = _step * 2;
if (cycleZ == 0 && _moons.All(m => m.Dz == 0)) cycleZ = _step * 2;
}
return $"{Util.Lcm(cycleX, Util.Lcm(cycleY, cycleZ))}";
}
public class Position
{
public int Dx, Dy, Dz;
private List<Position> _siblings;
private int _x, _y, _z;
public Position(IList<int> moon)
{
_x = moon[0];
_y = moon[1];
_z = moon[2];
Dx = 0;
Dy = 0;
Dz = 0;
_siblings = new();
}
private int KineticEnergy =>
Math.Abs(_x) + Math.Abs(_y) + Math.Abs(_z);
private int PotentialEnergy =>
Math.Abs(Dx) + Math.Abs(Dy) + Math.Abs(Dz);
internal int TotalEnergy =>
KineticEnergy * PotentialEnergy;
public void SetSiblings(IEnumerable<Position> positions)
{
_siblings = positions.Where(p => p != this).ToList();
}
public override string ToString()
{
return $"pos=<x={_x}, y={_y}, z={_z}> vel=<x={Dx}, y={Dy}, z={Dz}>";
}
internal void Gravitate()
{
foreach (var m in _siblings)
{
if (_x != m._x) Dx += _x > m._x ? -1 : 1;
if (_y != m._y) Dy += _y > m._y ? -1 : 1;
if (_z != m._z) Dz += _z > m._z ? -1 : 1;
}
}
internal void Move()
{
_x += Dx;
_y += Dy;
_z += Dz;
}
}
}