Given n line segments lying on the number line, the i-th segment starts from li and ends at ri. Segment j is said to be within segment i if li≤lj≤rj≤ri. For each segment, count the number of line segments within it (excluding itself).
### Input
- The first line contains an integer n.
- The next n lines, each line contains two integers li and ri.
### Output
- Print n integers, where the i-th integer represents the number of line segments within the i-th segment.
### Constraints
- 1≤n≤105.
- 1≤li≤ri≤105.
### Example
Input
423468824
Output
0001