 # Solve sub-sequences and return OR

A subsequence is a sequence that can be derived from another sequence by deleting some elements
without changing the order of the remaining elements.
For example, the sequence {2, 3, 5} is a subsequence of {1, 2, 3, 4, 5} obtained after removal of elements {1, 4}.

Given is an array of integers A of size N. An array of size N can have (2^N - 1) number of non empty subsequences.

For the given function:

``````solve (int subsequence[]) {
int count[];    //array initialised to 0.
for(int i = 0; i < subsequence.length; i++) {
number = subsequence[i];
for(int j = 2; j <= number; j++) {
if(number % j == 0) {
count[j]++;
if(count[j] == subsequence.length)  return 0;
}
}
}
return 1;
}
``````

If all the subsequences of the array A are passed in the above function.
What will be the bitwise OR of all the returned values from the given function.

Input Format

``````The only argument given is the integer array A.
``````

Output Format

``````Return the bitwise OR of all the returned values.
``````

Constraints

``````1 <= length of the array <= 100000
1 <= A[i] <= 10^9
``````

For Example

``````Input 1:
A = [1, 2, 3]
Output 1:
1

Input 2:
A = [2, 4, 6, 8]
Output 2:
0
``````
NOTE: You only need to implement the given function. Do not read input, instead use the arguments to the function. Do not print the output, instead return values as specified. Still have a doubt? Checkout Sample Codes for more details. 