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: Wrong Answer)

from collections import defaultdict
n = int(input())
v = list(map(int, input().split()))

d = defaultdict(int)
rd = defaultdict(int)
d[0] = 0
rd[0] = 0

ll = (n) // 2
rr = (n) // 2

for i in range(n):
    if i % 2 == 0:
        d[ v[i] ] = d[ v[i] ] + 1
    else:
        rd[ v[i]  ] = rd[ v[i] ] + 1

d = list(reversed(sorted(d.items(), key=lambda x: x[1])))
rd= list(reversed(sorted(rd.items(), key=lambda x: x[1])))


i, j = 0, 0

while d[i][0] == rd[j][0] and i < len(d) and j < len(rd):
    if (ll - d[i][1] < rr - rd[j][1]):
        i += 1
    else:
        j += 1

print(ll - d[i][1] + rr - rd[j][1])