Question 153
a. Find the smallest number of lines drawn on the plane so that they produce exactly $2022$ points of intersection. (Note: For $1$ point of intersection, the minimum is $2$; for $2$ points, minimum is $3$; for $3$ points, minimum is $3$; for $4$ points, minimum is $4$; for $5$ points, minimum is $4$, etc.)\n\nb. What happens if the lines produce exactly $2023$ intersections?