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 Ruby (2.3.3) (judge verdict: Wrong Answer)

n = gets.to_i
V = gets.chomp.split(" ")
i, j = 0, 1
hash0 = Hash.new(0)
hash1 = Hash.new(0)
(n / 2).times do
    hash0[V[i]] += 1
    hash1[V[j]] += 1
    i += 2
    j += 2
end

hash0 = hash0.sort_by{|_, v| v}.to_a
hash1 = hash1.sort_by{|_, v| v}.to_a

if V.uniq.size == 1 
    puts n / 2
elsif hash0[-1][0] == hash1[-1][0]
    if hash0[-1][1] >= hash1[-1][1]
        puts n - hash0[-1][1] - hash1[-2][1]
    else
        puts n - hash0[-2][1] - hash1[-1][1]
    end
else
    puts n - hash0[-1][1] - hash1[-1][1]
end