Contemporary buildings can have very complicated roofs. If we take a vertical
section of such a roof it results in a number of sloping segments. When it is
raining the drops are falling down on 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 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.

For the purpose of designing a piping system it is desired to compute how
much water is 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.

### Task

Write a program that:

- reads the description of a roof,
- computes the amount of water down in one second from each segment of the roof,
- writes the results.

### Input

The first line of the input contains one integer

*n* (1 ≤

*n* ≤
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

*x*_{1},

*y*_{1},

*x*_{2},

*y*_{2} (0
≤

*x*_{1},

*y*_{1},

*x*_{2},

*y*_{2} ≤ 1000000;

*x*_{1} <

*x*_{2};

*y*_{1} ≠

*y*_{2}) separated by single spaces.
Integers

*x*_{1},

*y*_{1} are respectively the horizontal
position and the height of the left end of the segment. Integers

*x*_{2},

*y*_{2} 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. You can also assume that there are at most 25 segments placed
above any point on the ground level.

### Output

The output consists of

*n* lines. The

*i*-th line should contain the
amount of water (in liters) down from the

*i*-th segment of the roof in one second.

### 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