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!