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: Accepted)

n = gets.to_i
v = gets.split.map(&:to_i)
e = Hash.new(0)
o = Hash.new(0)

v.each_with_index do |i, idx|
  idx.even? ? e[i] += 1 : o[i] += 1
end

e = e.max_by(2) { |k, v| v }
o = o.max_by(2) { |k, v| v }

if e[0][0] == o[0][0]
  e[1] ||= [nil, 0]
  o[1] ||= [nil, 0]
  puts e[1][1] > o[1][1] ? n - e[1][1] - o[0][1] : n - e[0][1] - o[1][1]
else
  puts n - e[0][1] - o[0][1]
end