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())
v=list(map(int,input().split()))
w=sorted(a for a in v[0::2])
x=sorted(a for a in v[1::2])
a=[[0,i]for i in range(10**5+1)]
b=[[0,i]for i in range(10**5+1)]
for t in w:
    a[t][0]+=1
for t in x:
    b[t][0]+=1
c=sorted(a)
d=sorted(b)
e=c[len(c)-1][0]
i=c[len(c)-1][1]
f=d[len(d)-1][0]
g=c[len(c)-1][0]
h=d[len(d)-1][0]
for t in range(len(c)):
    if i!=d[len(d)-1][1]:break
    e=c[len(c)-t-1][0]
    i=c[len(c)-t-1][1]
i=d[len(d)-1][1]
for t in range(len(d)):
    if i!=c[len(c)-1][1]:break
    g=d[len(d)-t-1][0]
    i=d[len(d)-t-1][1]
print(min(n-e-f,n-g-h))