Problem:
Score : 400 points

Problem Statement

On a two-dimensional plane, there are N red points and N blue points.
The coordinates of the i-th red point are (a_i, b_i), and the coordinates of the i-th blue point are (c_i, d_i).

A red point and a blue point can form a friendly pair when, the x-coordinate of the red point is smaller than that of the blue point, and the y-coordinate of the red point is also smaller than that of the blue point.

At most how many friendly pairs can you form? Note that a point cannot belong to multiple pairs.

Constraints

All input values are integers.

1 \leq N \leq 100

0 \leq a_i, b_i, c_i, d_i < 2N

a_1, a_2, ..., a_N, c_1, c_2, ..., c_N are all different.

b_1, b_2, ..., b_N, d_1, d_2, ..., d_N are all different.

Input

Input is given from Standard Input in the following format:

N
a_1 b_1
a_2 b_2
:
a_N b_N
c_1 d_1
c_2 d_2
:
c_N d_N

Output

Print the maximum number of friendly pairs.

Sample Input 1

3
2 0
3 1
1 3
4 2
0 4
5 5

Sample Output 1

2

For example, you can pair (2, 0) and (4, 2), then (3, 1) and (5, 5).

Sample Input 2

3
0 0
1 1
5 2
2 3
3 4
4 5

Sample Output 2

2

For example, you can pair (0, 0) and (2, 3), then (1, 1) and (3, 4).

Sample Input 3

2
2 2
3 3
0 0
1 1

Sample Output 3

0

It is possible that no pair can be formed.

Sample Input 4

5
0 0
7 3
2 2
4 8
1 6
8 5
6 9
5 4
9 1
3 7

Sample Output 4

5

Sample Input 5

5
0 0
1 1
5 5
6 6
7 7
2 2
3 3
4 4
8 8
9 9

Sample Output 5

4

Solution in Rust (1.15.1) (judge verdict: Wrong Answer)

use std::fmt;
use std::io::stdin;
use std::io::BufRead;
use std::str;
use std::str::FromStr;
use std::vec::Vec;

fn main() {
    let stdin = stdin();
    let mut scan = InputScanner::new(stdin.lock(),256);

    let n:usize = scan.next();

    let ab:Vec<(usize,usize)> = (0..n).map(|_| (scan.next(),scan.next())).collect::<Vec<(usize,usize)>>();
    let cd:Vec<(usize,usize)> = (0..n).map(|_| (scan.next(),scan.next())).collect::<Vec<(usize,usize)>>();

	let mut m:Vec<usize> = (0..n).map(|_| 0).collect::<Vec<usize>>();
	let mut t:Vec<Vec<usize>> = (0..n).map(|_| Vec::new()).collect::<Vec<Vec<usize>>>();
	let mut r:Vec<Vec<usize>> = (0..n).map(|_| Vec::new()).collect::<Vec<Vec<usize>>>();

	for (i,&(a,b)) in ab.iter().enumerate() {
        for (j,&(c,d)) in cd.iter().enumerate() {
            if c > a && d > b {
				m[j] += 1;
				r[j].push(i);
				t[i].push(j);
            }
        }
    }

	let mut count = 0;

	for i in 0..n {
		let mut min = std::usize::MAX;
		let mut index = None;

		for &j in &t[i] {
			if m[j] > 0 && m[j] < min && r[j].iter()
											.filter(|&&s| s != i)
											.filter(|&&s| {
												t[s].iter().filter(|&&c| c > 0).count() == 1
											}).count() == 0 {
				min = m[j];
				index = Some(j);
			}
		}

		if index.is_none() {
			for &j in &t[i] {
				if m[j] > 0 && m[j] < min {
					min = m[j];
					index = Some(j);
				}
			}
		}

		if let Some(i) = index {
			count += 1;
			m[i] = 0;
		}
	}

    println!("{}",count);
}
struct InputScanner<R: BufRead> {
	reader: R,
	buf: Vec<u8>, // Should never be empty
	pos: usize,   // Should never be out of bounds as long as the input ends with '\n'
}
impl<R: BufRead> InputScanner<R> {
	fn new(reader: R, capacity: usize) -> Self {
		InputScanner {
			reader: reader,
			buf: Vec::with_capacity(capacity),
			pos: 0,
		}
	}

	#[inline]
	fn next<T: FromStr>(&mut self) -> T
	where
		T::Err: fmt::Debug,
	{
		if self.buf.is_empty() {
			self._read_next_line();
		}
		let mut start = None;
		loop {
			match (self.buf[self.pos], start.is_some()) {
				(b' ', true) | (b'\n', true) | (b'\r', true) => break,
				(_, true) | (b' ', false) => self.pos += 1,
				(b'\n', false) | (b'\r', false) => self._read_next_line(),
				(_, false) => start = Some(self.pos),
			}
		}
		let target = &self.buf[start.unwrap()..self.pos];
		unsafe { str::from_utf8_unchecked(target) }.parse().unwrap()
	}

	#[inline]
	fn _read_next_line(&mut self) {
		self.pos = 0;
		self.buf.clear();
		if self.reader.read_until(b'\n', &mut self.buf).unwrap() == 0 {
			panic!("Reached EOF");
		}
	}
}