Problems > Longest Increasing Subsequence

Longest Increasing Subsequence

Difficulty: 1600 3500 ms 128 MB

dp binary-search

Print the length of the longest strictly increasing subsequence.

Input: the first line has N; the second line has N integers.

Output: the LIS length.

Constraints:

  • 1 ≤ N ≤ 105
  • −109 ≤ ai ≤ 109

Sample Tests

Input 1
6
5 2 8 6 3 6
Output 1
3
Input 2
4
4 3 2 1
Output 2
1

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