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#F1992. Artem and Array

    ID: 1998 传统题 2000ms 256MiB 尝试: 0 已通过: 0 难度: 9 上传者: 标签>数据结构贪心算法思想挑战难度共享题库Codeforces英文题面题目来源题面语言

Artem and Array

题目描述

C. Artem and Array
time limit per test
2 seconds
memory limit per test
256 megabytes
input
standard input
output
standard output

Artem has an array of n positive integers. Artem decided to play with it. The game consists of n moves. Each move goes like this. Artem chooses some element of the array and removes it. For that, he gets min(a,b) points, where a and b are numbers that were adjacent with the removed number. If the number doesn't have an adjacent number to the left or right, Artem doesn't get any points.

After the element is removed, the two parts of the array glue together resulting in the new array that Artem continues playing with. Borya wondered what maximum total number of points Artem can get as he plays this game.

Input

The first line contains a single integer n (1≤n≤5·105) − the number of elements in the array. The next line contains n integers ai (1≤ai≤106) − the values of the array elements.

Output

In a single line print a single integer − the maximum number of points Artem can get.

Examples
Input
5
3 1 5 2 6
Output
11
Input
5
1 2 3 4 5
Output
6
Input
5
1 100 101 100 1
Output
102

题目来源:fps-www.educg.net-codeforce-1-2833.xml.zip;FPS 共享题包,题包内第 1578 题。保留原作者与原赛事署名。