Problem7659--[CSES Problem Set] Counting Coprime Pairs

7659: [CSES Problem Set] Counting Coprime Pairs

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Time Limit : 1.000 sec  Memory Limit : 256 MiB

Description

Given a list of $n$ positive integers, your task is to count the number of pairs of integers that are coprime (i.e., their greatest common divisor is one).

Input

The first input line has an integer $n$: the number of elements.
The next line has $n$ integers $x_1,x_2,\dots,x_n$: the contents of the list.

Output

Print one integer: the answer for the task.

Constraints

$1≤n≤10^5$
$1 \le x_i \le 10^6$

Sample 1 Input

8
5 4 20 1 16 17 5 15

Sample 1 Output

19

HINT

相同题目:CSES 2417

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