Contemporary buildings can have very complicated roofs. If we take a vertical section of such a roof it amounts to a number of sloping segments. When it is raining the drops are falling down onto the roof straight from the sky above. Some segments are completely exposed to the rain but there may be some segments partially or even completely shielded by other segments. All the water falling onto a segment flows as a stream straight down from the lower end of the segment on the ground or possibly onto some other segment. In particular if a stream of water is falling on an end of a segment then we consider it to be collected by this segment.

\epsfbox{p2947.eps}

For the purpose of designing a piping system it is desired to compute how much water is flowing down from each segment of the roof. To be prepared for a heavy November rain you should count one liter of rain water falling on a meter of the horizontal plane during one second.


Write a program that:

Input 

Input consists of several test cases, each of them following the description below. A blank line separates two consecutive cases.

Input consists of several test case, each separated by a blank line. The first line of the file indicates the number of test cases, and it's followed by a blank line.

The first line of each dataset contains one integer n ( 1$ \le$n$ \le$40000) being the number of segments of the roof. Each of the next n lines describes one segment of the roof and contains four integers x1, y1, x2, y2 ( 0$ \le$x1, y1, x2, y2$ \le$1000000, x1 < x2, y1 < y2) separated by single spaces. Integers x1, y1 are respectively the horizontal position and the height of the left end of the segment. Integers x2, y2 are respectively the horizontal position and the height of the right end of the segment. The segments don't have common points and there are no horizontal segments. Also you can assume that there are at most 100 segments placed above any point on the ground level.

Output 

For each test case, the output consists of n lines. The i-th line should contain the amount of water (in liters) flowing down from the i-th segment of the roof during one second.

The outputs of two consecutive cases will be separated by a blank line.

Sample Input  

6
13 7 15 6
3 8 7 7
1 7 5 6
5 5 9 3
6 3 8 2
9 6 12 8

Sample Output  

2
4
2
11
0
3