Problem Description

WLD likes playing with a sequence $a[1..N]$. One day he is playing with a sequence of $N$ integers. For every index i, WLD wants to find the smallest index $F(i)$ ( if exists ), that $i < F(i) \leq n$, and $a_F(i)$ mod $a_i$ = 0. If there is no such an index $F(i)$, we set $F(i)$ as 0.

Input

There are Multiple Cases.(At MOST $10$)

For each case:

The first line contains one integers $N (1 \leq N \leq 10000)$.

The second line contains $N$ integers $a1,a2,...,aN(1 \leq ai \leq 10000)$,denoting the sequence WLD plays with. You can assume that all ai is distinct.

Output

For each case:

Print one integer.It denotes the sum of all $F(i)$ for all $1 \leq i < n$

4
1 3 2 4

6

Hint

F(1)=2
F(2)=0
F(3)=4
F(4)=0