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 Rust (1.15.1) (judge verdict: Wrong Answer)

macro_rules! input {
    (source = $s:expr, $($r:tt)*) => {
        let mut iter = $s.split_whitespace();
        input_inner!{iter, $($r)*}
    };
    ($($r:tt)*) => {
        let s = {
            use std::io::Read;
            let mut s = String::new();
            std::io::stdin().read_to_string(&mut s).unwrap();
            s
        };
        let mut iter = s.split_whitespace();
        input_inner!{iter, $($r)*}
    };
}

macro_rules! input_inner {
    ($iter:expr) => {};
    ($iter:expr, ) => {};
    ($iter:expr, $var:ident : $t:tt $($r:tt)*) => {
        let $var = read_value!($iter, $t);
        input_inner!{$iter $($r)*}
    };
}

macro_rules! read_value {
    ($iter:expr, ( $($t:tt),* )) => {
        ( $(read_value!($iter, $t)),* )
    };
    ($iter:expr, [ $t:tt ; $len:expr ]) => {
        (0..$len).map(|_| read_value!($iter, $t)).collect::<Vec<_>>()
    };
    ($iter:expr, chars) => {
        read_value!($iter, String).chars().collect::<Vec<char>>()
    };
    ($iter:expr, usize1) => {
        read_value!($iter, usize) - 1
    };
    ($iter:expr, $t:ty) => {
        $iter.next().unwrap().parse::<$t>().expect("Parse error")
    };
}

use std::collections::HashMap;
fn count_elem<T>(v: &[T]) -> HashMap<&T, u64>
  where T: std::cmp::Eq + std::hash::Hash {
    let mut m = HashMap::new();
    for e in v {
        *m.entry(e).or_insert(0) += 1;
    }
    m
}

fn main() {
    input! {
        n: usize,
        vv: [u64;n]
    }
    let mut even = Vec::new();
    let mut odd = Vec::new();
    for (i,v) in vv.iter().enumerate() {
        if i % 2 == 0 {
            even.push(*v);
        } else {
            odd.push(*v);
        }
    }
    let meven = count_elem(&even);
    let modd = count_elem(&odd);
    if vv[0] == vv[1] && meven.len() == 1 && modd.len() == 1 {
        println!("{}", vv.len() / 2);
        return;
    }
    fn revsort(m: &HashMap<&u64,u64>) -> Vec<(u64,u64)> {
        let mut res: Vec<(u64,u64)> =
            m.into_iter().map(|(k,v)| (**k,*v)).collect();
        res.sort_by_key(|t| t.1);
        res.reverse();
        res
    }
    let even = revsort(&meven);
    let odd = revsort(&modd);
    if even[0].0 != odd[0].0 {
        let sum = even.iter().skip(1).map(|t| t.1).sum::<u64>()
                + odd.iter().skip(1).map(|t| t.1).sum::<u64>();
        println!("{}", sum);
    } else {
        let sum1 = even.iter().skip(1).map(|t| t.1).sum::<u64>()
                 + odd.iter().filter(|v| v.0 != even[0].0)
                      .map(|t| t.1).sum::<u64>();
        let sum2 = odd.iter().skip(1).map(|t| t.1).sum::<u64>()
                 + even.iter().filter(|v| v.0 != odd[0].0)
                      .map(|t| t.1).sum::<u64>();
        println!("{}", std::cmp::min(sum1,sum2));
    }
}