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 (3.8.2) (judge verdict: Accepted)

from collections import Counter
n = int(input())
v = list(map(int, input().split()))
odd = [v[2*i] for i in range(n//2)]
even = [v[2*i+1] for i in range(n//2)]

co = Counter(odd)
ce = Counter(even)
co = co.most_common()
ce = ce.most_common()
if co[0][0] == ce[0][0]:
  if (len(co)>1) and (len(ce)>1):
    ans = min(n//2-co[1][1]+n//2-ce[0][1], n//2-co[0][1]+n//2-ce[1][1])
  elif len(co) > 1:
    ans = n//2 - co[1][1]
  elif len(ce) > 1:
    ans = n//2 - ce[1][1]
  else:
    ans = n//2
else:
  ans = n//2-co[0][1] + n//2-ce[0][1]
print(ans)