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 Java8 (OpenJDK 1.8.0) (judge verdict: Accepted)


import java.util.Arrays;
import java.util.Comparator;
import java.util.Scanner;

public class Main {

	public static void main(String[] args) {
		Scanner sc = new Scanner(System.in);
		int n = sc.nextInt();

		int[] odd = new int[n/2];
		int[] even = new int[n/2];

		for(int i = 0 ; i < n ; i++){
			if(i%2 != 0){
				odd[i/2] = sc.nextInt();
			}
			else{
				even[i/2] = sc.nextInt();
			}
		}

		sc.close();

		int[][] checkodd = new int[100001][2];
		int[][] checkeven = new int[100001][2];

		for(int i = 0 ; i < n/2 ; i++){
			checkodd[odd[i]][0] = odd[i];
			checkodd[odd[i]][1] += 1;
			checkeven[even[i]][0] = even[i];
			checkeven[even[i]][1] += 1;
		}

	    Arrays.sort(checkodd, new Comparator<int[]>() {
	        public int compare(int[] o1, int[] o2) {
	            //return o1[0] - o2[0];    //[0] をキーにソート(昇順)
	            return o2[1] - o1[1];    //[0] をキーにソート(降順)
	        }
	    });
	    Arrays.sort(checkeven, new Comparator<int[]>() {
	        public int compare(int[] o1, int[] o2) {
	            //return o1[0] - o2[0];    //[0] をキーにソート(昇順)
	            return o2[1] - o1[1];    //[0] をキーにソート(降順)
	        }
	    });

/*
		for(int i = 0 ; i < 10 ; i++){
			for(int j = 0 ; j < 2 ; j++){
				System.out.print(checkeven[i][j] +" ");
			}
			System.out.println();
		}
*/


	    int oddmax = checkodd[0][1];
	    int oddp = checkodd[0][0];
	    int oddsecond = checkodd[1][1];
	    int oddpsecond = checkodd[1][0];

	    int evenmax = checkeven[0][1];
	    int evenp = checkeven[0][0];
	    int evensecond = checkeven[1][1];
	    int evenpsecond= checkeven[1][0];

		int ans = 0;

		if(oddmax == n/2 && evenmax == n/2){
			if(oddp == evenp){
				System.out.println(n/2);
			}
			else{
				System.out.println(0);
			}
		}

		else if(oddmax == n/2){
			if(oddp == evenp){
				//System.out.println(1);
				System.out.println((n/2)-evensecond);
			}
			else{
				//System.out.println(2);
				System.out.println((n/2)-evenmax);
			}
		}
		else if(evenmax == n/2){
			if(oddp == evenp){
				//System.out.println(3);
				System.out.println((n/2)-oddsecond);
			}
			else{
				//System.out.println(4);
				System.out.println((n/2)-oddmax);
			}
		}
		else{
			if(oddp == evenp){
				if(evensecond>oddsecond){
					//System.out.println(5);
					System.out.println(n-oddmax-evensecond);
				}
				else{
					//System.out.println(6);
					System.out.println(n-oddsecond-evenmax);
				}
			}
			else{
				//System.out.println(7);
				System.out.println(n-oddmax-evenmax);
			}
		}
	}
}