CF371A.K-Periodic Array
普及/提高-
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题目描述
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 .
输入格式
The first line of the input contains a pair of integers n , k ( 1<=k<=n<=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.
输出格式
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.
输入输出样例
输入#1
6 2 2 1 2 2 2 1
输出#1
1
输入#2
8 4 1 1 2 1 1 1 2 1
输出#2
0
输入#3
9 3 2 1 1 1 2 1 1 1 2
输出#3
3
说明/提示
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.