Dr. Henri is looking through his telescope at the MRD Observatory. His telescope is positioned so that it can see all the stars inside a circle of radius $R$ centred at the coordinates $(X,Y)$ in the night sky. The telescope cannot see a star if it is on the edge of the circle.

Dr. Henri is interested in 3 particular stars: $A$, $B$, and $C$. Referring to his star charts, he notes that their coordinates are $(x_A,y_A)$, $(x_B,y_B)$, and $(x_C,y_C)$ and their magnitudes are $m_A$, $m_B$, and $m_C$ respectively. The magnitude of a star is a measure of its brightness, but interestingly, its scale is reversed: the smaller the magnitude, the brighter the star.

Dr. Henri wonders if he can see the brightest star among $A$, $B$, and $C$ through his telescope. It is guaranteed that no two of these stars are of the same magnitude.

Constraints

$1\le R\le 100$
$-100\le x_A,y_A,x_B,y_B,x_C,y_C,X,Y\le 100$
$-100\le m_A,m_B,m_C\le 100$

Input Specification

The first line of input will contain three space-separated integers, $R$, $X$, and $Y$.
The second line will contain three space-separated integers, $x_A$, $y_A$, and $m_A$.
The third line will contain three space-separated integers, $x_B$, $y_B$, and $m_B$.
The final line will contain three space-separated integers, $x_C$, $y_C$, and $m_C$.

Output Specification

If Dr. Henri can see the brightest star among $A$, $B$, and $C$, output What a beauty!. Otherwise, output Time to move my telescope!.

Sample Input 1

5 2 1
3 1 5
1 4 2
-9 1 4

Sample Output 1

What a beauty!

Sample Input 2

5 2 1
6 5 -1
0 7 2
-2 -3 3

Sample Output 2

Time to move my telescope!