Average Numbers

Description:

Input:

The first line contains the integer n (2 ≤ n ≤ 2·10⁵). The second line contains elements of the sequence a₁, a₂, ..., a_n (1 ≤ a_i ≤ 1000). All the elements are positive integers.

Output:

Print on the first line the number of the sought indices. Print on the second line the sought indices in the increasing order. All indices are integers from 1 to n.

If the sought elements do not exist, then the first output line should contain number 0. In this case you may either not print the second line or print an empty line.

Sample Input:

5
1 2 3 4 5

Sample Output:

1
3 

Sample Input:

4
50 50 50 50

Sample Output:

4
1 2 3 4