408004: GYM102961 R Nested Ranges Check

Given $$$n$$$ ranges, your task is to determine for each range if it contains some other range and if some other range contains it.

Range $$$[a,b]$$$ contains range $$$[c,d]$$$ if $$$a\le c$$$ and $$$d\le b$$$.

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.

Constraints:

• $$$1 \le n \le 2\cdot 10^5$$$
• $$$1 \le x < y \le 10^9$$$

First print a line that describes for each range (in the input order) if it contains some other range (1) or not (0).

Then print a line that describes for each range (in the input order) if some other range contains it (1) or not (0).

4
1 6
2 4
4 8
3 6

1 0 0 0 
0 1 0 1