NKLEAVES - Leaves

 English Vietnamese

One beautiful autumn day Radu and Mars noticed that the garden alley where they usually spend time is rather full of leaves. They decided to gather all the leaves in exactly K piles. The alley is a straight line and they established a coordinate system on the alley, with the origine at the beginning of the alley.

There are N leaves of various weights on the alley, all lined up, and the distance between each consecutive leaves is 1. More precisely the first leaf is at coordinate 1, the second at coordinate 2, ... , the N-th at coordinate N. Initially the two guys are at coordinate N.

The leaf gathering operation takes place as Radu and Mars leave the garden, so the leaves can only be moved to the left. The cost of moving a leaf is equal to its weight times the distance it is moved. Obviously one of the K piles will be at coordinate 1, but the rest can be anywhere.

Find out the total minimum cost of gathering the N leaves in exactly K piles.

Input

The input contains on the first line two positive integers, N and K, separated by a space, having the significance given above. The following N lines contain N positive integers representing the weights of the leaves (line i+1 contains the weight of the leaf located at coordinate i).

Output

The output will contain a single line on which the minimum cost for gathering all the leaves in exactly K piles will be written.

Constraints

• 0 < N < 100 001
• 0 < K < 11, K < N
• 0 < the weight of any leaf < 1 001

Example

```Input
5 2
1
2
3
4
5

Output
13
```

It would be best to form the 2 piles in points 1 and 4. Leaves 1, 2 and 3 are taken to coordinate 1, and 4 and 5 are taken to coordinate 4. The total cost is:

1 * 0 + 2 * 1 + 3 * 2 + 4 * 0 + 5 * 1 = 13

 Được gửi lên bởi: Jimmy Ngày: 2007-12-06 Thời gian chạy: 1s Giới hạn mã nguồn: 50000B Memory limit: 1536MB Cluster: Cube (Intel G860) Ngôn ngữ cho phép: Tất cả ngoại trừ: ERL GOSU JS-RHINO NODEJS PERL6 PYPY RUST SED VB.NET Nguồn bài: Campion 2005

2020-08-09 18:23:54
Ui, dp bao lồi :)))))
2019-08-16 11:35:09

Last edit: 2019-08-19 15:00:34
2019-08-16 10:18:47

Last edit: 2019-08-16 10:32:48
2019-08-16 10:17:10
Tôi là Nguyễn Tiến Hùng chồng Thu Huyền
2019-08-16 10:15:36
toi la trung ca xin chao tran duc manh
2019-08-16 09:29:19
toi la tran duc manh xin chao fan ham mo
2019-03-28 04:24:21
có ai biết làm không chỉ mình cách làm với
2017-08-04 05:57:05
http://cowboycoder.tech/spoj/spoj-nkleaves-leaves
2016-12-08 04:41:02 le tuan dung
Tôi là Lê Tuấn Dũng. Xin chào các fan hâm mộ.
2016-07-30 12:07:36
IT cũng AC đc :)