问题 3122 --162:Post Office(邮局)

3122: 162:Post Office(邮局)

题目描述

  There is a straight highway with villages alongside the highway. The highway is represented as an integer axis, and the position of each village is identified with a single integer coordinate. There are no two villages in the same position. The distance between two positions is the absolute value of the difference of their integer coordinates.

Post offices will be built in some, but not necessarily all of the villages. A village and the post office in it have the same position. For building the post offices, their positions should be chosen so that the total sum of all distances between each village and its nearest post office is minimum.

You are to write a program which, given the positions of the villages and the number of post offices, computes the least possible sum of all distances between each village and its nearest post office.
有v个村庄,每个村庄有各自的位置,且每个位置互不相同。现在要在村庄上设立P个邮局,使每个村庄到最近的邮局的距离之和最小。

输入

Your program is to read from standard input. The first line contains two integers: the first is the number of villages V, 1 <= V <= 300, and the second is the number of post offices P, 1 <= P <= 30, P <= V. The second line contains V integers in increasing order. These V integers are the positions of the villages. For each position X it holds that 1 <= X <= 10000.
第一行,V和P
第二行 V个整数,表示各村庄的距离,是升序的。


输出

The first line contains one integer S, which is the sum of all distances between each village and its nearest post office.
一个整数S,所有村庄到邮局距离的和。

样例输入输出

输入#1 复制
10 5
1 2 3 6 7 9 11 22 44 50
输出#1 复制
9

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