Problem:
Score : 300 points

Problem Statement

There is an integer sequence A of length N whose values are unknown.

Given is an integer sequence B of length N-1 which is known to satisfy the following:

B_i \geq \max(A_i, A_{i+1})

Find the maximum possible sum of the elements of A.

Constraints

All values in input are integers.

2 \leq N \leq 100

0 \leq B_i \leq 10^5

Input

Input is given from Standard Input in the following format:

N
B_1 B_2 ... B_{N-1}

Output

Print the maximum possible sum of the elements of A.

Sample Input 1

3
2 5

Sample Output 1

9

A can be, for example, ( 2 , 1 , 5 ), ( -1 , -2 , -3 ), or ( 2 , 2 , 5 ). Among those candidates, A = ( 2 , 2 , 5 ) has the maximum possible sum.

Sample Input 2

2
3

Sample Output 2

6

Sample Input 3

6
0 153 10 10 23

Sample Output 3

53

Solution in Java8 (OpenJDK 1.8.0) (judge verdict: Accepted)

import java.util.Scanner;

public class Main {
    public static int maximalValue(int[] A, int[] B) {
        A[0] = B[0];
        A[1] = B[0];
        for (int i = 1; i < B.length; i++) {
            if (B[i] > B[i-1]) {
                A[i+1] = B[i];
            } else {
                A[i+1] = B[i];
                A[i] = B[i];
            }
        }
        int res = 0;
        for (Integer i : A) res += i;
        return res;
    }

    public static void main(String[] args) {
        Scanner in = new Scanner(System.in);
        int N = in.nextInt();
        int[] B = new int[N-1];
        int[] A = new int[N];
        for (int i = 0; i < B.length; i++) B[i] = in.nextInt();

        System.out.println(maximalValue(A, B));
    }
}