|시간 제한||메모리 제한||제출||정답||맞은 사람||정답 비율|
|2 초||256 MB||10||9||9||90.000%|
A fundamental operation in computational geometry is determining whether two objects touch. For example, in a game that involves shooting, we want to determine if a player’s shot hits a target. A shot is a two dimensional point, and a target is a two dimensional enclosed area. A shot hits a target if it is inside the target. The boundary of a target is inside the target. Since it is possible for targets to overlap, we want to identify how many targets a shot hits.
The figure above illustrates the targets (large unfilled rectangles and circles) and shots (filled circles) of the sample input. The origin (0, 0) is indicated by a small unfilled circle near the center.
Input starts with an integer 1 ≤ m ≤ 30 indicating the number of targets. Each of the next m lines begins with the word rectangle or circle and then a description of the target boundary. A rectangular target’s boundary is given as four integers x1 y1 x2 y2, where x1 < x2 and y1 < y2. The points (x1, y1) and (x2, y2) are the bottom-left and top-right corners of the rectangle, respectively. A circular target’s boundary is given as three integers x y r. The center of the circle is at (x, y) and the 0 < r ≤ 1000 is the radius of the circle.
After the target descriptions is an integer 1 ≤ n ≤ 100 indicating the number of shots that follow. The next n lines each contain two integers x y, indicating the coordinates of a shot. All x and y coordinates for targets and shots are in the range [−1000, 1000].
For each of the n shots, print the total number of targets the shot hits.
3 rectangle 1 1 10 5 circle 5 0 8 rectangle -5 3 5 8 5 1 1 4 5 10 10 -10 -1 4 -3
2 3 0 0 1