Problem10513--ABC111 —— C - /\/\/\/

10513: ABC111 —— C - /\/\/\/

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Time Limit : 1.000 sec  Memory Limit : 512 MiB

Description

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.

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.

Constraints

-   $2 \leq n \leq 10^5$
-   $n$ is even.
-   $1 \leq v_i \leq 10^5$
-   $v_i$ is an integer.

Sample 1 Input

4
3 1 3 2

Sample 1 Output

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 2 Input

6
105 119 105 119 105 119

Sample 2 Output

0
The sequence 105,119,105,119,105,119 is /\/\/\/.

Sample 3 Input

4
1 1 1 1

Sample 3 Output

2
The elements of the sequence 1,1,1,1 are all the same, so it is not /\/\/\/.

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