namespace Day24;

public class LuckyShot
{
    private readonly IList<Line3> _lines;

    public LuckyShot(IList<Line3> lines)
    {
        _lines = lines;
    }

    public void Find()
    {
        var equations = new List<string>();
        Console.WriteLine("import sympy");
        Console.WriteLine();
        Console.WriteLine("sx, sy, sz, vsx, vsy, vsz = sympy.symbols(\"sx, sy, sz, vsx, vsy, vsz\")");
        Console.WriteLine();
        Console.WriteLine("equations = []");
        
        for (var i = 0; i < 3; i++)
        {
            var h = _lines[i];
            equations.Add($"equations.append(({h.Position.X} - sx) / (vsx - ({h.Velocity.X})) - ({h.Position.Y} - sy) / (vsy - ({h.Velocity.Y})))");
            equations.Add($"equations.append(({h.Position.X} - sx) / (vsx - ({h.Velocity.X})) - ({h.Position.Z} - sz) / (vsz - ({h.Velocity.Z})))");
        }
        Console.WriteLine(string.Join("\n", equations));

        Console.WriteLine();
        Console.WriteLine("answers = sympy.solve(equations)");
        Console.WriteLine("print(answers)");
        Console.WriteLine("print(answers[0][sx] + answers[0][sy] + answers[0][sz])");
    }
}