namespace Day6;

public record RaceStats(int Duration, int Distance)
{
    public int LowerBound()
    {
        var lowerBound = (-Duration + Math.Sqrt(Duration * Duration - 4 * Distance)) / (-2.0);
        var nextWhole = (int)Math.Ceiling(lowerBound);
        return nextWhole > lowerBound ? nextWhole : nextWhole + 1;
    }
}