3400.K-Periodic Array

Time Limit: 1s Memory Limit: 256MB

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 3400_1.png 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 Format(From the terminal/stdin)

The first line of the input contains a pair of integers n, k (1 \le k \le n \le 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 \le ai \le 2), ai is the i-th element of the array.

Output Format(To the terminal/stdout)

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.

Sample Input 1

Copy
6 2
2 1 2 2 2 1
 · \n
 · · · · · \n

Sample Output 1

Copy
1
 \n

Sample Input 2

Copy
8 4
1 1 2 1 1 1 2 1
 · \n
 · · · · · · · \n

Sample Output 2

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0
 \n

Sample Input 3

Copy
9 3
2 1 1 1 2 1 1 1 2
 · \n
 · · · · · · · · \n

Sample Output 3

Copy
3
 \n

Hints

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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