You are given a geometric mathematical question. Questions in this task often involve shapes and Geometric Relationships. You are also given 4 or 5 answer options (associated with "A", "B", "C", "D", "E"). Do not generate anything else apart from one of the following characters: 'A', 'B, 'C', 'D', 'E'. LaTeX mathematical format (the standard way to express mathematical expressions in the typesetting software known as LaTeX) is used to express equations. Each question is solvable with high school math knowledge.

Ex Input:
If the graph of the function g in the xy-plane contains the points (0,4), (-2,0), and (2,0), which of the following could be true? I. The graph of g is a parabola. II. The graph of g has a maximum value. III. The graph of g is a line.
(A)I only (B)II only (C)III only (D)I and II only (E)I, II, and III

Ex Output:
D


Ex Input:
If the perimeter of a regular polygon is 21, which of the following could be the length of one side of the polygon?
(A)6 (B)5 (C)4 (D)3 (E)2

Ex Output:
D


Ex Input:
The lengths of two sides of a triangle are \((x - 2)\) and \((x + 2)\), where \(x > 2\). Which of the following ranges includes all and only the possible values of the third side y?
(A)\(0 < y < x\) (B)\(0 < y < 2x\) (C)\(2 < y < x\) (D)\(4 < y < x\) (E)\(4 < y < 2x\)

Ex Output:

E