Herbert is a game in which you control a robot on an infinite two-dimensional grid. There are three commands available to you:
s: Go one square forward in the current direction.
l: Turn ninety degrees counterclockwise.
r: Turn ninety degrees clockwise.
After playing this game for a while, you wonder how many squares you can reach within a certain number of moves. Write a program to calculate the answer to this question.
On the first line an integer t (1 <= t <= 100): the number of test cases. Then for each test case:
One line with an integer n (0 <= n <= 1 000 000 000): the maximum number of moves.
For each test case:
One line with the number of reachable squares.