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()))

v_2n = Counter(v[0::2])
v_2n1 = Counter(v[1::2])

if v_2n.most_common(1)[0][0] == v_2n1.most_common(1)[0][0]:
    if len(v_2n)==1 and len(v_2n1)==1:
        cnt = n // 2
    elif v_2n.most_common(2)[-1][1] >= v_2n1.most_common(2)[-1][1]:
        cnt = n - v_2n.most_common(2)[-1][1] - v_2n1.most_common(1)[0][1]
    else:
        cnt = n - v_2n.most_common(1)[-1][1] - v_2n1.most_common(2)[-1][1]
else:
    cnt = n - v_2n.most_common(1)[0][1] - v_2n1.most_common(1)[0][1]
print(cnt)