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 C# (Mono 4.6.2.0) (judge verdict: Accepted)

using System;
using System.Collections.Generic;
using System.Linq;
using System.IO;
using System.Text;
using static System.Math;
using static System.Array;
using static AtCoder.Tool;
namespace AtCoder
{
    class AC
    {
        const int mod = 1000000007;
        const int INF = int.MaxValue / 2;
        const long SINF = long.MaxValue / 2;
        static readonly int[] dx = { 0, 1, 0, -1 };
        static readonly int[] dy = { 1, 0, -1, 0 };

        static int Comp(Tuple<int, int> t1, Tuple<int, int> t2)
        {
            if (t1.Item2 != t2.Item2)
            {
                return t1.Item2 > t2.Item2 ? 1 : -1;
            }
            else
            {
                return t1.Item1 > t2.Item1 ? 1 : -1;
            }
        }

        static void Main(string[] args)
        {
            //var sw = new StreamWriter(Console.OpenStandardOutput()) { AutoFlush = false };
            //Console.SetOut(sw);
            var cin = new Scanner();

            var input = cin.SplitRead();
            int N = input[0];
            int M = input[1];
            List<Tuple<int, int>> ab = new List<Tuple<int, int>>();
            for(var i = 0; i < M; i++)
            {
                var p = cin.SplitRead();
                ab.Add(new Tuple<int, int>(p[0], p[1]));
            }
            ab.Sort(Comp);

            int prev = -1;
            long ans = 0;
            for(var i = 0; i < M; i++)
            {
                if (ab[i].Item1 > prev)
                {
                    ans++;
                    prev = ab[i].Item2 - 1;
                }
            }

            Console.WriteLine(ans);

            //Console.Out.Flush();
        }
        
        
    }
    public class Scanner
    {
        public int[] SplitRead()
        {
            int[] array = Console.ReadLine().Split().Select(int.Parse).ToArray();
            return array;
        }
        public long[] SplitReadL()
        {
            long[] array = Console.ReadLine().Split().Select(long.Parse).ToArray();
            return array;
        }
    }

    public static class Tool
    {
        static public void Initialize<T>(ref T[] array, T initialvalue)
        {
            for (var i = 0; i < array.Length; i++)
            {
                array[i] = initialvalue;
            }
        }
        static public long Modulo(long value, long mod)
        {
            long r = value % mod;

            if (r * mod < 0)
            {
                r += mod;
            }
            return r;
        }
    }

    

}