Problem:
Score : 500 points

Problem Statement

You are given a sequence with N integers: A = \{ A_1, A_2, \cdots, A_N \}.
For each of these N integers, we will choose a color and paint the integer with that color. Here the following condition must be satisfied:

If A_i and A_j (i < j) are painted with the same color, A_i < A_j.

Find the minimum number of colors required to satisfy the condition.

Constraints

1 \leq N \leq 10^5

0 \leq A_i \leq 10^9

Input

Input is given from Standard Input in the following format:

N
A_1
:
A_N

Output

Print the minimum number of colors required to satisfy the condition.

Sample Input 1

5
2
1
4
5
3

Sample Output 1

2

We can satisfy the condition with two colors by, for example, painting 2 and 3 red and painting 1, 4, and 5 blue.

Sample Input 2

4
0
0
0
0

Sample Output 2

4

We have to paint all the integers with distinct colors.

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

using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;
using System.Threading.Tasks;

class Program
{

    static void Main(string[] args)
    {
        int N = GetInputInt();
        List<int> A = new List<int>();
        List<int> Anser = new List<int>();
        for (int i = 0; i < N; i++)
        {
            A.Add(GetInputInt());
        }

        while (A.Count > 0)
        {
            A.RemoveAll((x) => x > A[0]);
            Anser.Add(A[0]);
            A.RemoveAt(0);
        }


        Console.WriteLine(Anser.Count);
    }

    

    public static int GetInputInt()
    {
        return int.Parse(Console.ReadLine());
    }
    public static int[] GetInputsInt()
    {
        return Console.ReadLine().Split(' ').Select(int.Parse).ToArray();
    }
    public static List<int> GetInputsIntList()
    {
        return Console.ReadLine().Split(' ').Select(int.Parse).ToList();
    }
    public static long[] GetInputsLong()
    {
        return Console.ReadLine().Split(' ').Select(long.Parse).ToArray();
    }

}