Sum Sum Sum

Time Limit: 2000/1000 MS (Java/Others)

Memory Limit: 32768/32768 K (Java/Others)

Description

We call a positive number $X$ P-number if there is not a positive number that is less than $X$ and the greatest common divisor of these two numbers is bigger than 1.
Now you are given a sequence of integers. You task is to calculate the sum of P-numbers of the sequence.

Input

There are several test cases.
In each test case:
The first line contains a integer $N(1\leq N\leq 1000)$. The second line contains $N$ integers. Each integer is between 1 and 1000.

Output

For each test case, output the sum of P-numbers of the sequence.

Sample Input

3 5 6 7 1 10

Sample Output

12 0

Hint

heyang

Source

BestCoder Round #24

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