A square piece of paper is folded twice into four equal quarters: first in half vertically, then in half horizontally. A small semicircle is then cut from the middle of one of the open edges of the folded paper. Which figure will the paper match when unfolded?
A: A square hole in the center
B: Two semicircles on opposite sides
C: A full circle on one side of the paper
D: A diamond hole in the center
E: An X-shaped cutout