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NKLEAVES - Leaves

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.

Task

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:Duc
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

hide comments
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 :)
2016-07-26 17:39:30
sử dụng IT cũng có thể AC zz dù time hơi chậm
2016-07-18 18:15:54 even when you try to hurt me...
https://apps.topcoder.com/forums//?module=Thread&threadID=608334&start=0&mc=12#952198
2016-06-16 11:48:07
Convex hull
2015-12-30 11:02:07 [$Zeus$]
Quy hoạch động bao lồi, tôi code mãi được 30, sửa mãi mới biết spoj khi printf scanf long long phải là %lld chứ ko đc dùng %I64d, ông nào bị thì sửa nhé.
2015-03-05 17:08:55 lucky++
Làm sao có bộ test để thử nhỉ, ức chế quá.
2014-08-13 05:06:34 ■■‡[ND] Bee Sociu■■‡
@@phung van chien :) chem manh qua :) MaxN=100000 kia kia :O O(n*k) thoi
2013-03-28 02:06:26 Trần Vũ Hồng Phúc
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