OO’s Sequence

Time Limit: 4000/2000 MS (Java/Others)

Memory Limit: 131072/131072 K (Java/Others)

Description

OO has got a array A of size n ,defined a function f(l,r) represent the number of i (l<=i<=r) , that there's no j(l<=j<=r,j<>i) satisfy ai mod aj=0,now OO want to know $$\sum_{i=1}^{n}\sum_{j=i}^{n}f(i,j) \ mod \ (10^{9}+7).$$

Input

There are multiple test cases. Please process till EOF.
In each test case:
First line: an integer n(n<=10^5) indicating the size of array
Second line:contain n numbers ai(0<ai<=10000)

Output

For each tests: ouput a line contain a number ans.

Sample Input

5 1 2 3 4 5

Sample Output

23

Hint

Source

2015 Multi-University Training Contest 1

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