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 PyPy3 (7.3.0) (judge verdict: Accepted)

from collections import Counter

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

v0 = v[0:n-1:2]
v1 = v[1:n:2]

c0 = Counter(v0).most_common()
c1 = Counter(v1).most_common()

if len(set(v0)) == len(set(v1)) == 1:
    if c0[0] == c1[0]:
        res = len(v0)
    else:
        res = 0

else:
    if c0[0] != c1[0]:
        res = n - c0[0][1] - c1[0][1]
    else:
        res = min(n - c0[0][1] - c1[1][1], n - c0[1][1] - c1[0][1])

print(res)