#3560. Nested Segments
Nested Segments
说明
D. Nested Segments
time limit per test
2 secondsmemory limit per test
256 megabytesinput
standard inputoutput
standard outputYou are given n segments on a line. There are no ends of some segments that coincide. For each segment find the number of segments it contains.
Input
The first line contains a single integer n (1≤n≤2·105) − the number of segments on a line.
Each of the next n lines contains two integers li and ri (-109≤li<ri≤109) − the coordinates of the left and the right ends of the i-th segment. It is guaranteed that there are no ends of some segments that coincide.
Output
Print n lines. The j-th of them should contain the only integer aj − the number of segments contained in the j-th segment.
Examples
Input
4
1 8
2 3
4 7
5 6
Output
3
0
1
0
Input
3
3 4
1 5
2 6
Output
0
1
1