namespace Day24;

public readonly record struct Vec
{
    public static Vec Zero { get; } = new Vec(0, 0);
    
    public long X { get; }
    public long Y { get; }
    
    public Vec(long x, long y)
    {
        X = x;
        Y = y;
    }

    public Vec Add(Vec other)
    {
        return new Vec(X + other.X, Y + other.Y);
    }

    public Vec Subtract(Vec other)
    {
        return new Vec(X - other.X, Y - other.Y);
    }

    public Vec Multiply(long f)
    {
        return new Vec(f * X, f * Y);
    }
    
    public (double X, double Y) Multiply(double f)
    {
        return (f * X, f * Y);
    }
}