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;//list用
using System.Text;//StringBuilder用
using System.Collections;
using System.Linq;
class Program
{
    static List<int> s = new List<int>();
    static List<int> t = new List<int>();
    static decimal result;
  static StringBuilder sb= new StringBuilder("");
static Hashtable ht=new Hashtable();
static int N,M;
static long[,] table;
    static void Main()
    {
Read1();
Read2();
     
      int k=0;
for(int i=0;i<N;i++)
{
  int saveMax=-1;
  int savej=0;
  //s[i]が最大になるグループで，かつ今の最大値が一番大きいグループに配属させたい。に

  //総当たりだと10^5ループの中に10^5ループが入るので間に合わない。
  /*
  for(int j=0;j<result;j++)
  {
      if(t[j]<s[i] && t[j]>saveMax){saveMax=t[j];savej=j;}
  }
      //更新可能な奴がいなければtに新規追加。あればそいつを更新。
  //if(saveMax==-1){t.Add(s[i]);result++;}else{t[savej]=s[i];}  
  */

  
  if(i>0 && s[i]<=s[i-1]){k++;}else{if(k>result){result=k;k=0;}}
  
}     
      k++;
     if(k>result){result=k;k=0;} 
Console.WriteLine(result.ToString());

    }

    static void Read1()
    {
        string tmp = Console.ReadLine();
        N = int.Parse(tmp);
    }

    static void Read2()
    {
        string tmp;
      for(int i=0;i<N;i++)
      {
      tmp=Console.ReadLine();
        s.Add(int.Parse(tmp));
      }
    }
}