This month's problem is from the 1999 Missouri MAA Collegiate Mathematics Competition.

Let *P* be a point on the parabola *y* = *x*^{2}
other than the origin, (0,0). The normal line to the parabola at
*P* will intersect the parabola at another point, say *Q*. Find
the coordinates of *P* so that the arclength along the parabola
between P and Q is a minimum.