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 Python (3.4.3) (judge verdict: Accepted)

import collections

n = int(input())
v = list(map(int, input().split()))

s = len(set(v))
if s == 1:
    print(n // 2)
    exit()

odd = v[::2]
even = v[1::2]
mo = collections.Counter(odd).most_common(2)
me = collections.Counter(even).most_common(2)

if mo[0][0] != me[0][0]:
    print(n - mo[0][1] - me[0][1])
elif len(mo) == 1:
    print(n - mo[0][1] - me[1][1])
elif len(me) == 1:
    print(n - mo[1][1] - me[0][1])
else:
    print(n - max(mo[0][1] + me[1][1], mo[1][1] + me[0][1]))