Geometry Darts

Input

The first line contains the number of shapes on the wall, $S$. The next $S$ lines (0 < S \leq 1000) describe the shapes in one of the following formats:

1. C x y r, where ($x$; $y$) is the center of the circle, and $r$ is the radius.

2. R x_1 y_1 x_2 y_2, where (x_1; y_1) and (x_2; y_2) are the corners of the rectangle, with x_1 < x_2 and y_1 < y_2.

3. T x_1 y_1 x_2 y_2 x_3 y_3, where (x_i; y_i) are the vertices of the triangle.

The next line contains the number of games, $N$ (0 < N \leq 1000), Bob and Hannah are going to play. Each game is described by six lines containing the $x$ and $y$ coordinates of the six throws, the first three belonging to Bob and the last three to Hannah.

• All rectangles have sides parallel to the $x$ and $y$ axes.

• In the triangle, the three vertices are not collinear.

• All coordinates are real numbers given to $6$ decimal places.

• All shapes are bounded within the rectangle with corners ($-1000$;$-1000$) and ($1000$;$1000$).

• All throws are made at least 10^{-6} away from the boundaries of any shape.

Output

For each game, print the name of the winner (Bob or Hannah) on a separate line, or Tied if there is a tie.

Examples