_{This problem is a programming version of Problem 46 from projecteuler.net}

It was proposed by Christian Goldbach that every odd composite number can be written as the sum of a prime and twice a square.

It turns out that the conjecture was false as you'll discover some values can't be represented as a sum of prime and twice a square.

You are given , print the number of ways N can be represented as a sum of prime and twice a square.

Example can be represented in two ways as and

**Input Format**

The first line contains an integer , i.e., number of test cases.

Next lines will contain an integer .

**Constraints**

**Output Format**

Print the values corresponding to each test case.

**Sample Input**

```
2
9
15
```

**Sample Output**

```
1
2
```