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Contest: Task: Related: TaskB TaskD

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