Problem3014--K-Periodic Array

3014: K-Periodic Array

Time Limit: 2 Sec  Memory Limit: 256 MB
Submit: 0  Solved: 0
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Description

time limit per test
1 second
memory limit per test
256 megabytes
input
standard input
output
standard output

This task will exclusively concentrate only on the arrays where all elements equal 1 and/or 2.

Array a is k-period if its length is divisible by k and there is such array b of length k, that a is represented by array b written exactly times consecutively. In other words, array a is k-periodic, if it has period of length k.

For example, any array is n-periodic, where n is the array length. Array [2,1,2,1,2,1] is at the same time 2-periodic and 6-periodic and array [1,2,1,1,2,1,1,2,1] is at the same time 3-periodic and 9-periodic.

For the given array a, consisting only of numbers one and two, find the minimum number of elements to change to make the array k-periodic. If the array already is k-periodic, then the required value equals 0.

Input

The first line of the input contains a pair of integers n, k (1≤kn≤100), where n is the length of the array and the value n is divisible by k. The second line contains the sequence of elements of the given array a1,a2,...,an (1≤ai≤2), ai is the i-th element of the array.

Output

Print the minimum number of array elements we need to change to make the array k-periodic. If the array already is k-periodic, then print 0.

Examples
Input
6 2
2 1 2 2 2 1
Output
1
Input
8 4
1 1 2 1 1 1 2 1
Output
0
Input
9 3
2 1 1 1 2 1 1 1 2
Output
3
Note

In the first sample it is enough to change the fourth element from 2 to 1, then the array changes to [2,1,2,1,2,1].

In the second sample, the given array already is 4-periodic.

In the third sample it is enough to replace each occurrence of number two by number one. In this case the array will look as [1,1,1,1,1,1,1,1,1] − this array is simultaneously 1-, 3- and 9-periodic.

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