The Chef has bought $N$ boxes of Tiles. The number of tiles present in $i^{th}$ box is $i$ ($i $ varies from $1$ to $N$) . The Chef has two houses with $N$ rooms each, whose floors is a square with area $(i*i)$ ,i varies from $(1....N)$. He want to distribute equal number of tiles from $i^{th}$ box to any two rooms (each room must belong to one house ) such that all tiles of $i^ { th}$ box is used and floor of both rooms of different houses are tiled completely.
Since chef is busy doing some other works so he wants your help to count the total number of rooms of both houses that will be tiled completely.
Note $:$ size of each tile present in boxes has length and breadth equal to $1$. It is not mandatory to use all the boxes.
A room should be tilled completely from a single box.

-----Input:-----
- First line will contain $T$, number of testcases. Then the testcases follow.
- Each testcase contains one integer $N$.

-----Output:-----
For each testcase print the total number of rooms of both houses that will be tiled completely.

-----Constraints-----
- $1 \leq T \leq 5000$
- $1 \leq N \leq 10^{12}$

-----Sample Input:-----
1
16

-----Sample Output:-----
4

-----EXPLANATION:-----
The room $1$ and $2$ of both the houses are completely tiled.

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