Longest Non-Decreasing Subsequence
Find the length of the longest non-decreasing subsequence (equal values may be consecutive in the subsequence).
Input: the first line has N; the second line has the array.
Output: the length.
Constraints:
- 1 ≤ N ≤ 105
- 1 ≤ ai ≤ 109
Sample Tests
Input 1
5 1 2 2 3 3
Output 1
5
Input 2
1 7
Output 2
1
Input 3
4 4 4 4 4
Output 3
4
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