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poj 1410

2013年10月08日 ⁄ 综合 ⁄ 共 2506字 ⁄ 字号 评论关闭
Intersection
Time Limit: 1000MS   Memory Limit: 10000K
Total Submissions: 5892   Accepted: 1484

Description

You are to write a program that has to decide whether
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 consists of n test cases. The first line of
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

For each test case in the input file, the output file
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

 

 

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