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 Haskell (GHC 7.10.3) (judge verdict: Wrong Answer)

import Data.List
import Data.Maybe
import Control.Monad
import qualified Data.ByteString.Char8 as C

readInt' = fst.fromJust.C.readInt
readLnInt = map readInt'.C.words<$>C.getLine
readCsInt n = concat<$>replicateM n readLnInt

x ? (a,b) = if x then a else b
half = flip div 2
aliq = ((0==).).mod

main = do
 [n] <- readLnInt
 inputs <- readLnInt
 print $ solve inputs

solve [a] = 2*a
solve (a:b:x) = 2*a + flatt (b:x)

flatt [a] = a
flatt (a:b:x) = moins(a,b) + flatt(b:x)

moins (a,b) = (a<b)?(a,b)