Longest Increasing Subsequence MEDIUM Sorting Searching 25 XP 0 solved

Problem

Given an array, find the length of the longest strictly increasing subsequence.

Input format

Input input.txt

- The first line contains N (1 ≀ N ≀ 100). - The second line contains N integers (-1000 ≀ Ai ≀ 1000).

Output format

Output output.txt

- The length of the longest increasing subsequence.

Example

input
6
1 3 2 4 5 1
output
4

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