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)

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

b=[a[i] for i in range(0,n,2)]
c=[a[i] for i in range(1,n,2)]
from collections import Counter
xb=list(Counter(b).items())
xc=list(Counter(c).items())
xb=sorted(xb, key=lambda x:-x[1])
xc=sorted(xc, key=lambda x:-x[1])
ans=[]
if xb[0][0]==xc[0][0]:
    if len(xc)>1:
        ans.append(n//2-xb[0][1]-(-n//2)-xc[1][1])
    if len(xb)>1:
        ans.append(n//2-xb[1][1]-(-n//2)-xc[0][1])
    if len(xc)==1 and len(xb)==1:
        ans.append(n//2)
else:
    ans.append(n//2-xb[0][1]-(-n//2)-xc[0][1])
print(min(ans))