
Score : 300 points
Problem StatementA 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.
InputInput is given from Standard Input in the following format:
n
v_1 v_2 ... v_n
OutputPrint the minimum number of elements that needs to be replaced.
Sample Input 14
3 1 3 2
Sample Output 11
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 26
105 119 105 119 105 119
Sample Output 20
The sequence 105,119,105,119,105,119 is /\/\/\/.
Sample Input 34
1 1 1 1
Sample Output 32
The elements of the sequence 1,1,1,1 are all the same, so it is not /\/\/\/.
