5212: Mike and Foam
内存限制：256 MB
时间限制：2 S
标准输入输出
题目类型：传统
评测方式：文本比较
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通过：0
题目描述
C. Mike and Foam
time limit per test
2 seconds
memory limit per test
256 megabytes
input
standard input
output
standard output
Mike is a bartender at Rico's bar. At Rico's, they put beer glasses in a special shelf. There are n kinds of beer at Rico's numbered from 1 to n. i-th kind of beer has ai milliliters of foam on it.
Maxim is Mike's boss. Today he told Mike to perform q queries. Initially the shelf is empty. In each request, Maxim gives him a number x. If beer number x is already in the shelf, then Mike should remove it from the shelf, otherwise he should put it in the shelf.
After each query, Mike should tell him the score of the shelf. Bears are geeks. So they think that the score of a shelf is the number of pairs (i,j) of glasses in the shelf such that i<j and
where 
is the greatest common divisor of numbers a and b.
Mike is tired. So he asked you to help him in performing these requests.
Maxim is Mike's boss. Today he told Mike to perform q queries. Initially the shelf is empty. In each request, Maxim gives him a number x. If beer number x is already in the shelf, then Mike should remove it from the shelf, otherwise he should put it in the shelf.
After each query, Mike should tell him the score of the shelf. Bears are geeks. So they think that the score of a shelf is the number of pairs (i,j) of glasses in the shelf such that i<j and
where is the greatest common divisor of numbers a and b.
Mike is tired. So he asked you to help him in performing these requests.
Input
The first line of input contains numbers n and q (1≤n,q≤2×105), the number of different kinds of beer and number of queries.
The next line contains n space separated integers, a1,a2,... ,an (1≤ai≤5×105), the height of foam in top of each kind of beer.
The next q lines contain the queries. Each query consists of a single integer integer x (1≤x≤n), the index of a beer that should be added or removed from the shelf.
Output
For each query, print the answer for that query in one line.
Examples
Input
5 6 1 2 3 4 6 1 2 3 4 5 1
Output
0 1 3 5 6 2
输入样例 复制
输出样例 复制