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 PyPy3 (2.4.0) (judge verdict: Time Limit Exceeded)

import bisect


N = int(input())

lis = []

A1 = int(input())


lis.append(A1)


for i in range(N-1):

    A = int(input())

    flag = True
    ins = bisect.bisect_left(lis,A)

    if ins == 0:
        lis.insert(0,A)

    if lis[ins-1] < A:
        lis[ins-1] = A

"""
    for l in lis:

 

        if l < A:
            l = A
            flag = False
            lis.sort()
            maxi = max(maxi , i)
            break

    if flag:
        lis.append(A)
"""

#print (lis)
print (len(lis))