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.split.map &:to_i
t1,t2,c1,c2={},{},0,0
n.times do|i|
  if i%2==0
    if t1[v[i]]==nil
      t1[v[i]]=1
      c1+=1
    else
      t1[v[i]]+=1
    end
  else
    if t2[v[i]]==nil
      t2[v[i]]=1
      c2+=1
    else
      t2[v[i]]+=1
    end
  end
end
max1,max2=0,0
a1,a2=0,0
t1.each do|i,vl|
  a1+=vl
  max1<vl&&max1=vl
end
t2.each do|i,vl|
  a2+=vl
  max2<vl&&max2=vl
end
c1!=1&&a1-=max1
c2!=1&&a2-=max2
if c1==1 then a1=0 end
if c2==1&&v[0]!=v[1] then a2=0 end
puts a1+a2