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++14 (GCC 5.4.1) (judge verdict: Wrong Answer)

//bismillahir rahmanir rahim            //Author:Fayed Anik
 
#include <bits/stdc++.h>
//#include <ext/pb_ds/assoc_container.hpp>
//#include <ext/pb_ds/tree_policy.hpp>
 
using namespace std;
//using namespace __gnu_pbds;
 
/*
template <typename T>  using ordered_set =
    tree<T, null_type, less<T>,   /// greater<T> for sorting decreasingly
    rb_tree_tag, tree_order_statistics_node_update>;
*/

#define         ll                          long  long
#define         lf                          double
#define         pb(x)                       push_back(x)
#define         ull                         unsigned long long
#define         sfl(a)                      scanf("%lld",&a)
#define         sf(a)                       scanf("%d",&a)
#define         pf(a)                       printf("%d\n",a)
#define         pfl(a)                      printf("%lld\n",a)
#define         FOR(x,n)                    for(ll x=1;x<=n;++x)
#define         pii                         pair< ll , ll >
#define         mp(a,b)                     make_pair(a,b)
#define         mod                         1000000007
#define         INF                         2e18
#define         f1                          first
#define         f2                          second
#define         all(v)                      v.begin(),v.end()
#define         PI                          acos(-1)
#define         printminusone               printf("-1\n")
#define         bug                         printf("bug")
#define         FILEIN                      freopen("in.txt","r",stdin)
#define         FILEOUT                     freopen("out.txt","w",stdout)
 
//ll SET(ll mask,ll pos){ return mask = (mask | (1ll<<pos)); }
//ll RESET(ll mask,ll pos){ return mask = mask & ~(1ll<<pos); }
//bool CHECK(ll mask,ll pos) { return (bool) (mask & (1ll<<pos)); }
//priority_queue <ll, vector<ll>, greater<ll> > pq;

#define lim 100005

pii a[lim];


bool comp(pii u,pii v){
    if(u.f1==v.f1) return u.f2 < v.f2;
    else{
        return u.f1>v.f1;
    }
}
int main(){
    //freopen("input.txt","r",stdin);
    //freopen("output.txt","w",stdout);
    ll n,x;
    sfl(n);
    FOR(i,n){
        sfl(x);
        a[i].f1 = x;
        a[i].f2 = i;
    }

    sort(a+1,a+n+1,comp);
    ll cnt=0,prev=-1;
    for(ll i=1;i<=n;i++){
        if(prev==-1){
            prev = a[i].f2;
            cnt++;
        }
        else if(a[i-1].f1==a[i].f1 and a[i].f2>prev){
            cnt++;
            prev = a[i].f2;
        }
        else if(a[i].f2>prev){
            prev = a[i].f2;
            cnt++;
        }
    }
    cout << cnt << endl;
    return 0;
}