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 C# (Mono 4.6.2.0) (judge verdict: Wrong Answer)

using System;
using System.Collections;
using System.Collections.Generic;
using System.Collections.Specialized;
using System.Text;
using System.Text.RegularExpressions;


static class AT {
    static int N;
    static int[] A;
    static void Main() {
        N = int.Parse(Console.ReadLine());
        A = new int[N];
        List<int> B = new List<int>(), C = new List<int>();
        for (int i = 0; i < N; i++) {
         int j=int.Parse(Console.ReadLine());
            if (i % 2 == 0) {
                B.Add(j);
            }
            else {
                C.Add(j);
            }
        }
        int[] Ba = B.ToArray(), Ca = C.ToArray();
        Array.Sort(Ba);
        Array.Sort(Ca);
        long c = 0;
        for(int i = 0; i < N; i++) {
            if (i != N - 1) {
                if (i % 2 == 0) {
                    if (Ba[i / 2] > Ca[i / 2]) {
                        c++;
                    }
                }
                else {
                    if (Ca[i / 2] > Ba[(i + 1) / 2]) {
                        c++;
                    }
                }
            }
        
        }
        Console.WriteLine(c);
    }
}