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 C# (Mono 4.6.2.0) (judge verdict: Wrong Answer)

using System;
using System.Collections.Generic;
using System.Linq;


public class Contest
{
	public static void Main()
	{

/*
		int n = a[0];
		int[][] e = new int[n][];
		for(int i=0; i<n; i++) MyIO.ReadArray(out e[i]);

		int[] a;
		MyIO.ReadArray(out a);

        long a,b,c,d,e,f;
        MyIO.ReadMulti(out a, out b, out c, out d, out e, out f);

		MyIO.WriteArray(ans);
*/

        int n,m;
		MyIO.ReadMulti(out n, out m);
		int[][] ab = new int[n][];
        for(int i=0; i<n; i++) 
		{
			int a, b;
			MyIO.ReadMulti(out a, out b);
            ab[i] = new int[]{a,b};

		}

		Array.Sort(ab, (x,y)=>( (y[1].CompareTo(x[1])==0) ? y[0].CompareTo(x[0]) :  y[1].CompareTo(x[1]) ) );

		long ans = 0;
		int k=0;
		for(int i=0;i<=m;i++){
			for(int j=k;j<n;j++){
				if(i+ab[j][0]<=m){
					ans+=ab[j][1];
					k=j+1;
					break;
				}
			}
		}



		Console.Write(ans);
	}


}

public static class MyIO
{
	private static bool eq<T, U>() => typeof(T).Equals(typeof(U));
	private static T ct<T, U>(U a) => (T)Convert.ChangeType(a, typeof(T));
	private static T cv<T>(string s) => eq<T, int>()    ? ct<T, int>(int.Parse(s))
	                                  : eq<T, long>()   ? ct<T, long>(long.Parse(s))
	                                  : eq<T, double>() ? ct<T, double>(double.Parse(s))
	                                  : eq<T, char>()   ? ct<T, char>(s[0])
	                                                    : ct<T, string>(s);
	public static string[] ReadArray<T>(out T[] a) {		
		var ar = Console.ReadLine().Split(new char[] {' '}, StringSplitOptions.RemoveEmptyEntries); 												
		a = System.Array.ConvertAll(ar, new Converter<string,T>(cv<T>));
		return ar;
	}										
	public static string[] ReadMulti<T>(out T a) {
		var ar = Console.ReadLine().Split(new char[] {' '}, StringSplitOptions.RemoveEmptyEntries); 
		a = cv<T>(ar[0]);
		return ar;
	}
	public static string[] ReadMulti<T, U>(out T a, out U b) {
		var ar = ReadMulti<T>(out a); 
        b = cv<U>(ar[1]);
		return ar;
	}
	public static string[] ReadMulti<T, U, V>(out T a, out U b, out V c) {
		var ar = ReadMulti<T, U>(out a, out b); 
        c = cv<V>(ar[2]);
		return ar;
	}
	public static string[] ReadMulti<T, U, V, W>(out T a, out U b, out V c, out W d) {
		var ar = ReadMulti<T, U, V>(out a, out b, out c); 
        d = cv<W>(ar[3]);
		return ar;
	}
	public static string[] ReadMulti<T, U, V, W, X>(out T a, out U b, out V c, out W d, out X e) {
		var ar = ReadMulti<T, U, V, W>(out a, out b, out c, out d); 
        e = cv<X>(ar[4]);
		return ar;
	}
	public static string[] ReadMulti<T, U, V, W, X, Y>(out T a, out U b, out V c, out W d, out X e, out Y f) {
		var ar = ReadMulti<T, U, V, W, X>(out a, out b, out c, out d, out e); 
        f = cv<Y>(ar[5]);
		return ar;
	}

	public static void WriteArray<T>(T[] a) {
		Console.WriteLine(string.Join(" ", Array.ConvertAll(a, x => x.ToString())));
	}


}