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Description

Given n ranges, your task is to count for each range how many other ranges it contains and how many other ranges contain it.

Range [a,b] contains range [c,d] if a≤c and d≤b.

Input Format

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 Format

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.

4
1 6
2 4
4 8
3 6

2 0 0 0
0 1 0 1

Hint

<li> 1≤n≤2⋅10⁵ </li> <li> 1≤x<y≤10⁹ </li>

Source

CSES