Infinite Tree
时间限制:C/C++/Rust/Pascal 1秒,其他语言2秒
空间限制:C/C++/Rust/Pascal 256 M,其他语言512 M
64bit IO Format: %lld

题目描述

Let be the minimum divisor greater than 1 of n. Bobo construsts a tree on all positive integer numbers by adding edges between n and for all n > 1.

Let be the number of edges between vertices u and v on the tree. Given m and , Bobo would like to find .

输入描述:

The input consists of several test cases terminated by end-of-file.

The first line of each test case contains an integer m.
The second line contains m integers .

*
*
* The sum of m does not exceed .

输出描述:

For each test case, print an integer which denote the result.

示例1

输入

复制
3
1 1 1
4
3 1 2 4
4
0 0 0 0

输出

复制
3
17
0