7520: [CSES Problem Set] Nested Ranges Check
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Description
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 $a≤c$ and $d≤b$.
Range $[a,b]$ contains range $[c,d]$ if $a≤c$ and $d≤b$.
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.
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) 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).
Then print a line that describes for each range (in the input order) if some other range contains it (1) or not (0).
Constraints
$1≤n≤2⋅10^5$
$1≤x<y≤10^9$
$1≤x<y≤10^9$
Sample 1 Input
4
1 6
2 4
4 8
3 6
Sample 1 Output
1 0 0 0
0 1 0 1