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I read this question here in careercup and saw no comments on it. So, I am answering it.
given a string find the sum of number of unique substring characters.
means if string is ACAX. the sub strings are A,C,A,X,AC,CA,AX,ACA,CAX,ACAX. in ACA, A occurs more than once so, its count is not considered, but C occurs once so its count is 1. Similarly in ACAX, A's count=0,C's count=1,X's count=1. In such a manner find sum of all counts for all substrings. The worst case time complexityis O(n). IF same substring occurs more than once then find its sum for that many times.

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You are given an array of length N that contains only integer.

A number in this array is called a special number if it is divisible by at least one other number in the array.

Write a program to print the count of special number of array.

Input format :

First Line - N

Second line - N space separated integer.

Output format :

print the count of special number in the array.

constraints

1<= N <= pow(10,5)

Note - divisible with same number will not considered.

Example -

input

N=3

Array= 5 3 10

output

1

Description - 10 is divided by 5,

5 and 3 are not divided by any number