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



Sample input:
3
3 4 6


Sample output:
10

Submission status: Runtime Error

Solution code:
import fraction as math

n = input()
a = list(map(int, input().split()))

def lcm(x, y):
    return (x * y) // math.gcd(x, y)

l = a[0]
for num in a[1:]:
    l = lcm(num, l)

ans = 0
for num in a:
    ans += (l - 1) % num

print(ans)

Submission status: Runtime Error

Solution code:
import math

n = input()
a = list(map(int, input().split()))

def lcm(x, y):
    return (x * y) // math.gcd(x, y)

l = a[0]
for num in a[1:]:
    l = lcm(num, l)

ans = 0
for num in a:
    ans += (l - 1) % num

print(ans)