CF703B Mishka and trip

Description

Little Mishka is a great traveller and she visited many countries. After thinking about where to travel this time, she chose XXX — beautiful, but little-known northern country. Here are some interesting facts about XXX: 1. XXX consists of $ n $ cities, $ k $ of whose (just imagine!) are capital cities. 2. All of cities in the country are beautiful, but each is beautiful in its own way. Beauty value of $ i $ -th city equals to $ c_{i} $ . 3. All the cities are consecutively connected by the roads, including $ 1 $ -st and $ n $ -th city, forming a cyclic route $ 1—2—...—n—1 $ . Formally, for every $ 1

Input Format

The first line of the input contains two integers $ n $ and $ k $ ( $ 3

Output Format

Print the only integer — summary price of passing each of the roads in XXX.

Explanation/Hint

This image describes first sample case: ![](https://cdn.luogu.com.cn/upload/vjudge_pic/CF703B/f56e7113e4ecabd1250712cc69d300125f300e0b.png) It is easy to see that summary price is equal to $ 17 $ . This image describes second sample case: ![](https://cdn.luogu.com.cn/upload/vjudge_pic/CF703B/e184cc93e6f4812674986a147f81ce08dfb70d8b.png) It is easy to see that summary price is equal to $ 71 $ .