Problem:
Score : 400 points

Problem Statement

There are N islands lining up from west to east, connected by N-1 bridges.

The i-th bridge connects the i-th island from the west and the (i+1)-th island from the west.

One day, disputes took place between some islands, and there were M requests from the inhabitants of the islands:

Request i: A dispute took place between the a_i-th island from the west and the b_i-th island from the west. Please make traveling between these islands with bridges impossible.

You decided to remove some bridges to meet all these M requests.

Find the minimum number of bridges that must be removed.

Constraints

All values in input are integers.

2 \leq N \leq 10^5

1 \leq M \leq 10^5

1 \leq a_i < b_i \leq N

All pairs (a_i, b_i) are distinct.

Input

Input is given from Standard Input in the following format:

N M
a_1 b_1
a_2 b_2
:
a_M b_M

Output

Print the minimum number of bridges that must be removed.

Sample Input 1

5 2
1 4
2 5

Sample Output 1

1

The requests can be met by removing the bridge connecting the second and third islands from the west.

Sample Input 2

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

Sample Output 2

2

Sample Input 3

5 10
1 2
1 3
1 4
1 5
2 3
2 4
2 5
3 4
3 5
4 5

Sample Output 3

4

Solution in Rust (1.15.1) (judge verdict: Accepted)

fn main() {
    let buf = io::read_string();
    let mut sc = io::Scanner::new(&buf);
    let _n: usize = sc.read();
    let m: usize = sc.read();
    let mut query: Vec<(usize, usize)> = (0..m).map(|_| (sc.read(), sc.read())).collect();
    query.sort_by(|a, b| a.1.cmp(&b.1));

    let mut prev = 0;
    let mut res = 0;
    for q in query {
        if q.0 >= prev {
            prev = q.1;
            res += 1;
        }
    }
    println!("{}", res);
}

#[allow(dead_code)]
mod io {
    use std;
    use std::io::Read;
    use std::str::{FromStr, SplitWhitespace};
    pub struct Scanner<'a> {
        pub iter: SplitWhitespace<'a>,
    }
    impl<'a> Scanner<'a> {
        pub fn new(s: &'a str) -> Scanner<'a> {
            Scanner {
                iter: s.split_whitespace(),
            }
        }
        pub fn read<T: FromStr>(&mut self) -> T {
            self.iter
                .next()
                .unwrap()
                .parse()
                .ok()
                .expect("parsing failed")
        }
        pub fn read_vec<T: FromStr>(&mut self, n: usize) -> Vec<T> {
            (0..n).map(|_| self.read()).collect()
        }
    }
    pub fn read_string() -> String {
        let mut s = String::new();
        std::io::stdin().read_to_string(&mut s).unwrap();
        s
    }
}