Time Limit: 1000MS | Memory Limit: 10000K | |
Total Submissions: 5892 | Accepted: 1484 |
Description
a given line segment intersects a given rectangle.
An example:
line:
start point: (4,9)
end point: (11,2)
rectangle: left-top: (1,5)
right-bottom: (7,1)
Figure 1: Line
segment does not intersect rectangle
The line is said to intersect the
rectangle if the line and the rectangle have at least one point in common. The
rectangle consists of four straight lines and the area in between. Although all
input values are integer numbers, valid intersection points do not have to lay
on the integer grid.
Input
the input file contains the number n. Each following line contains one test case
of the format:
xstart ystart xend yend xleft ytop xright ybottom
where (xstart, ystart) is the start and (xend, yend) the end point of
the line and (xleft, ytop) the top left and (xright, ybottom) the bottom right
corner of the rectangle. The eight numbers are separated by a blank. The terms
top left and bottom right do not imply any ordering of coordinates.
Output
should contain a line consisting either of the letter "T" if the line segment
intersects the rectangle or the letter "F" if the line segment does not
intersect the rectangle.
Sample Input
1 4 9 11 2 1 5 7 1
Sample Output
F
Source