Problem:
Score : 300 points

Problem Statement

You are given N positive integers a_1, a_2, ..., a_N.

For a non-negative integer m, let f(m) = (m\ mod\ a_1) + (m\ mod\ a_2) + ... + (m\ mod\ a_N).

Here, X\ mod\ Y denotes the remainder of the division of X by Y.

Find the maximum value of f.

Constraints

All values in input are integers.

2 \leq N \leq 3000

2 \leq a_i \leq 10^5

Input

Input is given from Standard Input in the following format:

N
a_1 a_2 ... a_N

Output

Print the maximum value of f.

Sample Input 1

3
3 4 6

Sample Output 1

10

f(11) = (11\ mod\ 3) + (11\ mod\ 4) + (11\ mod\ 6) = 10 is the maximum value of f.

Sample Input 2

5
7 46 11 20 11

Sample Output 2

90

Sample Input 3

7
994 518 941 851 647 2 581

Sample Output 3

4527

Solution in JavaScript (node.js v5.12) (judge verdict: Time Limit Exceeded)

var input = require('fs').readFileSync('/dev/stdin', 'utf8').split("\n")
input = input[1].split(" ")

var max = 0
for (var i = 1;;i++) {
  var current = 0
  input.forEach((e) =>{
    current += i % Number(e)
  })

  if(current === 0) {
    break
  }

  if (max < current) {
    max = current
  }
}
console.log(max)