Problem:
Score : 600 points

Problem Statement

Snuke got an integer sequence of length N from his mother, as a birthday present. The i-th (1 ≦ i ≦ N) element of the sequence is a_i. The elements are pairwise distinct.
He is sorting this sequence in increasing order.
With supernatural power, he can perform the following two operations on the sequence in any order:

Operation 1: choose 2 consecutive elements, then reverse the order of those elements.

Operation 2: choose 3 consecutive elements, then reverse the order of those elements.

Snuke likes Operation 2, but not Operation 1. Find the minimum number of Operation 1 that he has to perform in order to sort the sequence in increasing order.

Constraints

1 ≦ N ≦ 10^5

0 ≦ A_i ≦ 10^9

If i ≠ j, then A_i ≠ A_j.

All input values are integers.

Input

The input is given from Standard Input in the following format:

N
A_1
:
A_N

Output

Print the minimum number of times Operation 1 that Snuke has to perform.

Sample Input 1

4
2
4
3
1

Sample Output 1

1

The given sequence can be sorted as follows:

First, reverse the order of the last three elements. The sequence is now: 2,1,3,4.

Then, reverse the order of the first two elements. The sequence is now: 1,2,3,4.

In this sequence of operations, Operation 1 is performed once. It is not possible to sort the sequence with less number of Operation 1, thus the answer is 1.

Sample Input 2

5
10
8
5
3
2

Sample Output 2

0

Solution in Python (3.4.3) (judge verdict: Wrong Answer)

def solve():
    n = int(input())
    e = [0] * ((n + 1) // 2)
    o = [0] * (n // 2)
    a = [0] * n
    for i in range(n):
        n_ = int(input())
        if i % 2 == 0:
            e[i // 2] = n_
        else:
            o[i // 2] = n_
        a[i] = n_
    e.sort()
    o.sort()
    a.sort()
    ans = 0
    for i in range(n):
        if i % 2 == 0:
            if a[i] != e[i // 2]:
                ans += 1
        else:
            if a[i] != o[i // 2]:
                ans += 1
    print(ans // 2)


def main():
    solve()


if __name__ == '__main__':
    main()