- Time limit: 1.00 s
- Memory limit: 512 MB
Range $[a,b]$ contains range $[c,d]$ if $a \le c$ and $d \le b$.
Input
The first input line has an integer $n$: the number of ranges.
After this, there are $n$ lines that describe the ranges. Each line has two integers $x$ and $y$: the range is $[x,y]$.
You may assume that no range appears more than once in the input.
Output
First print a line that describes for each range (in the input order) how many other ranges it contains.
Then print a line that describes for each range (in the input order) how many other ranges contain it.
Constraints
- $1 \le n \le 2 \cdot 10^5$
- $1 \le x < y \le 10^9$
Input:
4
1 6
2 4
4 8
3 6
Output:
2 0 0 0
0 1 0 1