Problem:
Score : 300 points

Problem Statement

A sequence a_1,a_2,... ,a_n is said to be /\/\/\/ when the following conditions are satisfied:

For each i = 1,2,..., n-2, a_i = a_{i+2}.

Exactly two different numbers appear in the sequence.

You are given a sequence v_1,v_2,...,v_n whose length is even.
We would like to make this sequence /\/\/\/ by replacing some of its elements.
Find the minimum number of elements that needs to be replaced.

Constraints

2 \leq n \leq 10^5

n is even.

1 \leq v_i \leq 10^5

v_i is an integer.

Input

Input is given from Standard Input in the following format:

n
v_1 v_2 ... v_n

Output

Print the minimum number of elements that needs to be replaced.

Sample Input 1

4
3 1 3 2

Sample Output 1

1

The sequence 3,1,3,2 is not /\/\/\/, but we can make it /\/\/\/ by replacing one of its elements: for example, replace the fourth element to make it 3,1,3,1.

Sample Input 2

6
105 119 105 119 105 119

Sample Output 2

0

The sequence 105,119,105,119,105,119 is /\/\/\/.

Sample Input 3

4
1 1 1 1

Sample Output 3

2

The elements of the sequence 1,1,1,1 are all the same, so it is not /\/\/\/.

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

using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;
using System.Threading.Tasks;

namespace AtcoderTemplateForCSharp
{
    public class Program
    {
        public static void Main(string[] args)
        {
            var d1 = new Dictionary<int, int>();
            var d2 = new Dictionary<int, int>();
            var n = int.Parse(Console.ReadLine());

            var input = Console.ReadLine().Split(' ').Select(int.Parse).ToList();

            for (var i = 0; i < n; i++)
            {
                if (i % 2 == 0)
                {
                    if (d1.ContainsKey(input[i]))
                    {
                        d1[input[i]]++;
                    }
                    else
                    {
                        d1[input[i]] = 1;
                    }
                }
                else
                {
                    if (d2.ContainsKey(input[i]))
                    {
                        d2[input[i]]++;
                    }
                    else
                    {
                        d2[input[i]] = 1;
                    }
                }
            }

            var d1_ans = d1.OrderByDescending(x => x.Value);
            var d2_ans = d2.OrderByDescending(x => x.Value);

            if (d1_ans.Count() == 1 && d2_ans.Count() == 1 && d1_ans.First().Key == d2_ans.First().Key)
            {
                Console.WriteLine(n / 2);
            }
            else
            {
                Console.WriteLine(((n/2) - d1_ans.First().Value) + ((n/2) - d2_ans.First().Value));
            }
        }
    }
}