|시간 제한||메모리 제한||제출||정답||맞은 사람||정답 비율|
|3 초||128 MB||2||2||2||100.000%|
After a new administrative division of Byteland cartographic office works on a new demographic map of the country. Because of technical reasons only a few colors can be used. The map should be colored so that regions with the same or similar population (number of inhabitants) have the same color. For a given color k let A(k) be the number, such that:
A coloring error of a region marked with color k is an absolute value of the difference between A(k) and the region's population. A cumulative error is a sum of coloring errors of all regions. We are looking for an optimal coloring of the map (the one with the minimal cumulative error).
Write a program which:
In the first line of the standard input an integer n is written, which is the number of regions in Byteland, 10 < n < 3000. In the second line the number m denoting the number of colors used to color the map is written, 2 ≤ m ≤ 10. In each of the following n lines there is one non-negative integer - a population of one of the regions of Byteland. No population exceeds 2^30.
Your program should write in the only line of the standard output one integer number equal to a minimal cumulative error, which can be achieved while the map is colored (optimally).
11 3 21 14 6 18 10 2 15 12 3 2 2