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 Julia (0.5.0) (judge verdict: Accepted)

N=parse(Int,readline())
V=map(x->parse(Int,x),split(readline()))
A=zeros(Int,10^5)
B=zeros(Int,10^5)
for i=1:N
	if i%2==1
		A[V[i]]+=1
	else
		B[V[i]]+=1
	end
end
AA=[(A[i],i) for i=1:10^5]
BB=[(B[i],i) for i=1:10^5]
sort!(AA)
reverse!(AA)
sort!(BB)
reverse!(BB)
ans=0
if AA[1][2]!=BB[1][2]
	ans=AA[1][1]+BB[1][1]
else
	ans=max(AA[1][1]+BB[2][1],AA[2][1]+BB[1][1])
end
println(N-ans)