Problem:
Score : 400 points

Problem Statement

There are N one-off jobs available. If you take the i-th job and complete it, you will earn the reward of B_i after A_i days from the day you do it.

You can take and complete at most one of these jobs in a day.

However, you cannot retake a job that you have already done.

Find the maximum total reward that you can earn no later than M days from today.

You can already start working today.

Constraints

All values in input are integers.

1 \leq N \leq 10^5

1 \leq M \leq 10^5

1 \leq A_i \leq 10^5

1 \leq B_i \leq 10^4

Input

Input is given from Standard Input in the following format:

N M
A_1 B_1
A_2 B_2
\vdots
A_N B_N

Output

Print the maximum total reward that you can earn no later than M days from today.

Sample Input 1

3 4
4 3
4 1
2 2

Sample Output 1

5

You can earn the total reward of 5 by taking the jobs as follows:

Take and complete the first job today. You will earn the reward of 3 after four days from today.

Take and complete the third job tomorrow. You will earn the reward of 2 after two days from tomorrow, that is, after three days from today.

Sample Input 2

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

Sample Output 2

10

Sample Input 3

1 1
2 1

Sample Output 3

0

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

use std::io::{stdin, stdout, BufReader, BufRead, StdinLock, Write, BufWriter};
use std::collections::BinaryHeap;

fn main() {
    let (std_in, std_out) = (stdin(), stdout());
    let mut br = BufReader::new(std_in.lock());
    let mut bw = BufWriter::new(std_out.lock());
    
    let __ = rvn::<usize>(&mut br);
    let (n, m) = (__[0], __[1]);
    let mut v = Vec::new();
    for i in 0..n {
        let ab = rvn::<usize>(&mut br);
        v.push((ab[0], ab[1]));
    }

    v.sort_by(|x, y| y.0.cmp(&x.0));
    let mut res = 0;
    let mut hp = BinaryHeap::<usize>::new();
    for i in 1..m+1 {
        while !v.is_empty() && v.last().unwrap().0 == i {
            hp.push(v.pop().unwrap().1);
        }
        res += match hp.pop() {
            Some(n) => n,
            None => 0,
        }
    }
    
    writeln!(&mut bw, "{}", res);
}


//////////////////////////////////////////////////////////////////////////////////
#[allow(dead_code)]
fn rs(br: &mut BufReader<StdinLock>) -> Vec<char> {
    let mut buf = String::new();
    br.read_line(&mut buf).ok();
    buf.trim().chars().collect()
}

#[allow(dead_code)]
fn rn<T: std::str::FromStr>(br: &mut BufReader<StdinLock>) -> T {
    let mut buf = String::new();
    br.read_line(&mut buf).ok();
    buf.trim().parse().ok().unwrap()
}

#[allow(dead_code)]
fn rvs(br: &mut BufReader<StdinLock>) -> Vec<Vec<char>> {
    let mut buf = String::new();
    br.read_line(&mut buf).ok();
    buf.trim().split_whitespace().map(|e| e.chars().collect()).collect()
}

#[allow(dead_code)]
fn rvn<T: std::str::FromStr>(br: &mut BufReader<StdinLock>) -> Vec<T> {
    let mut buf = String::new();
    br.read_line(&mut buf).ok();
    buf.trim().split_whitespace().map(|e| e.parse().ok().unwrap()).collect()
}