Project Euler #179: Consecutive positive divisors

_{This problem is a programming version of Problem 179 from projecteuler.net}

Find the number of integers , for which and have the same number of positive divisors. For example, has the positive divisors , , , while has , , , .

Input Format

First line of input contains single integer which is the number of testcases. All of the following lines contain single integer each.

Constraints

Output Format

For each testcase output the only integer which is the answer to the problem.

Sample Input 0

Sample Output 0

1
2
15

Explanation 0

The only are and .