Mock CCC '18 Contest 5 J4/S2 - Reverse Sort

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Points: 5 (partial)
Time limit: 1.0s
Memory limit: 1G

Problem type

Given a permutation of the first N positive integers and the ability to swap any two adjacent integers, compute the minimum number of swaps needed to sort the list in decreasing order.

Constraints

1 \le N \le 10^3

v_i form a permutation of the first N positive integers.

Input Specification

The first line of the input consists of a single integer, N.

The next line contains N space-separated integers, the permutation of the first N integers.

Output Specification

Output, on a single line, the minimum number of swaps needed.

Sample Input

3
2 1 3

Sample Output

2

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