## PTCLONG - Pythagorean Triple Counting (LTL)

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There are already some SPOJ problems related to Pythagorean triples. Here is another one: Given an integer n, calculate the number p(n) of Pythagorean triples with at least one cathetus of length n.

### Input

Input starts with a positive integer t≤1000, the number of testcases.
Each of the following t lines contains a positive integer n≤1015.

### Output

For every n print the value of p(n) in a single line.

### Example

```Input:
3
4
5
6

Output:
1
1
1
```

Explanation: The only Pythagorean triple that has a cathetus with length 4 is (3,4,5), so p(4)=1.

Note: If your solution is fast enough, you may try the classical version with identical test data, but stricter time limit. I also recommend to solve problems WPC5A and CATHETEN first.

 Added by: numerix Date: 2015-02-18 Time limit: 30s Source limit: 50000B Memory limit: 1536MB Cluster: Cube (Intel G860) Languages: All except: ASM64 JS-MONKEY Resource: own problem (inspired by WPC5A)