Grid Point Counting

Time Limit: 7 Seconds
Memory Limit: 32768 KB

**Task**

You have a number of sticks, which are thin enough to be considered as segments on the XY plane.

Your task is simple: count the number of grid points that are covered by at least one segment.

**Input**

The first line contains a single integer T (T <= 10), the number of test cases.
Each case begins with an integer n (1 <= n <= 500), the number of segments.
Each of the following n lines contains four real numbers x1, y1, x2, y2, denoting a segment (x1,y1)-(x2,y2).
All of x1, y1, x2, y2 will be no larger than 10000 in their absolute values, and will contain at most 4 digits after decimal point.

**Output**

For each test case, print the case number and the number of grid points.

**Sample Input**

2
2
-1 0 1 0
0 1 0 -1
1
1 2 3 4.0001

**Sample Output**

Case 1: 5
Case 2: 1

Author:

**Tang, Wenbin**
Source:

**The 2009 ACM-ICPC Asia Ningbo Regional Online Contest**
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