Problems > Trim to Non-Decreasing

Trim to Non-Decreasing

Difficulty: 1600 4000 ms 128 MB

dp binary-search

Print the minimum number of elements to delete so the remaining array is non-decreasing.

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

Output: N minus the longest non-decreasing subsequence length.

Constraints:

  • 1 ≤ N ≤ 105
  • |ai| ≤ 109

Sample Tests

Input 1
5
3 1 2 1 4
Output 1
2
Input 2
3
1 1 1
Output 2
0

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