8413: The Cow Run

内存限制:128 MB 时间限制:1 S 标准输入输出
题目类型:传统 评测方式:文本比较 上传者:
提交:1 通过:1

题目描述

农夫约翰的牧场围栏上出现了一个洞,有N(1 <= N <= 1,000)只牛从这个洞逃出了牧场。这些出逃的奶牛很狂躁,他们在外面到处搞破坏,每分钟每头牛都会给约翰带来1美元的损失。约翰必须用缰绳套住所有的牛,以停止他们搞破坏。

幸运的是,奶牛们都在牧场外一条笔直的公路上,牧场的大门恰好位于公里的0点处。约翰知道每头牛距离牧场大门的距离P_i(-500,000 <= P_i <= 500,000, P_i != 0)

约翰从农场大门出发,每分钟移动一个单位距离,每到一头牛所在的地点,约翰就会给它套上缰绳,套缰绳不花时间。按怎样的顺序去给牛套缰绳才能使约翰损失的费用最少?

输入格式

* Line 1: The number of cows, N.

* Lines 2..N+1: Line i+1 contains the integer P_i.

输出格式

* Line 1: The minimum total cost of the damage.

输入样例 复制

4 
-2 
-12 
3 
7 

输出样例 复制

50 

数据范围与提示

Four cows placed in positions: -2, -12, 3, and 7.

The optimal visit order is -2, 3, 7, -12. FJ arrives at position -2 in 2 minutes for a total of 2 dollars in damage for that cow.

He then travels to position 3 (distance: 5) where the cumulative damage is 2 + 5 = 7 dollars for that cow.

He spends 4 more minutes to get to 7 at a cost of 7 + 4 = 11 dollars for that cow.

Finally, he spends 19 minutes to go to -12 with a cost of 11 + 19 = 30 dollars.

The total damage is 2 + 7 + 11 + 30 = 50 dollars.