Clockwise or Counterclockwise

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After some basic geometric lessons, Cuber QQ has learned that one can draw one and only one circle across three given distinct points, on a 2D plane. Specialized in art, Cuber QQ has shown remarkable skills to draw circle in one stroke, especially when the stroke is done clockwise. He wonder whether he will be able to do that if 3 points has been given.

In particular, he is given three distinct points $A(x_1, y_1)$, $B(x_2, y_2)$, $C(x_3, y_3)$ which lie on a circle centered at $O(0,0)$. Imagine starting from $A$, he draws the circle across $B$ and finally gets $C$. Determine whether he is drawing clockwise or counterclockwise.

The first line contains an integer $T$ ($1\le T\le 1~000$), denoting the number of test cases.

In the next $T$ lines, each line contains six space-separated integers $x_1$, $y_1$, $x_2$, $y_2$, $x_3$, $y_3$ ($-10^9\le x_1,y_1,x_2,y_2,x_3,y_3\le10^9$) denoting the coordinate of $A$, $B$ and $C$.

It is guaranteed that $A$, $B$, $C$ are pairwise distinct and $|AO|=|BO|=|CO|> 0$.

For each test case, output one line containing ''Clockwise'' or ''Counterclockwise''.

3
1 2 2 1 -1 -2
4 3 -4 3 3 4
4 -3 4 3 3 4

Clockwise
Clockwise
Counterclockwise

2020 Multi-University Training Contest 8