Write a program that given a sequence of integers, computes the number of times a sequence element is a multiple of the previous one.
Input
A sequence of integers.
Output
The number of times that a sequence element is multiple of the previous one.
Warning
The program is allowed to use variables only of types int and bool. Programs using variables of any other type will be graded with 0.
Input
1 -2 4 6 8 16
Output
3
Input
0
Output
0
Input
0 5 1
Output
0
Input
0 0 1
Output
1
Input
-3 3 1 0 1 0 0 -2
Output
4