Min Length Unsorted Subarray HARD Arrays Sorting Searching 50 XP 0 solved

Problem

Given an array, find the smallest window (subarray) that must be sorted to make the whole array sorted. Print its length. If already sorted, print 0.

Input format

Input input.txt

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

Output format

Output output.txt

- The length of the minimal unsorted subarray.

Example

input
6
1 3 5 4 2 6
output
4

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