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.

Examples

Input

3
3 4 6

Output

10

Input

5
7 46 11 20 11

Output

90

Input

7
994 518 941 851 647 2 581

Output

4527

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