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.
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\n · \n · \n · \n · \n
1 0 0 0 0 1 0 1· · · \n · · · \n