Ye Holy Hand Grenades!
Time limit1sMemory limit128 MB
Judge whether each rabbit survives a blast from the fixed resting place of a unit grenade in an exponential and log valley.
Problem
Holy Hand Grenades have found many uses through history. King Arthur used one to dispatch the vicious rabbit that guarded the entrance to a cave. The instructions for its use are in the Book of Armaments, chapter 2, verses 9 to 21.


The Book of Armaments forgets to mention one thing. A Holy Hand Grenade only explodes once it has come to a complete stop and rests stably. As long as it rolls or wobbles, it refuses to explode. Grenades also differ in their radius of destruction . Once a grenade rests and explodes, everything at distance or less from its center is snuffed out. To settle the argument about the rabbit with big pointy teeth, the king ordered a simulation.
- Every grenade is a circle of radius , and the radius of destruction varies from grenade to grenade.
- The terrain never changes. It is the valley formed by the two intersecting curves and , lying in the plane through the rabbit, the grenade, and the center of the earth. At horizontal position the ground sits at height , the upper of the two curves. Explosions leave the terrain untouched.
- The grenade settles as deep into the valley as it can go, which is the single position where it touches both curves at once. It always detonates from there.
- The rabbit is given by its center of mass . At the instant of detonation it may be mid-leap, on the ground, or underground.
- A rabbit whose center of mass is strictly below the ground survives and lives to bite another day.
- A rabbit whose distance from the grenade's center is greater than survives. At distance or less it is blown to bits.
- A rabbit can be inside and inside the grenade body at the same time. That just means it is curled around the grenade, and being strictly inside still blows it to bits.
- Every computation has to be accurate to 8 significant figures.
Input
The first line contains an integer, the number of holy hand grenades. Each following line describes one test run: the radius of destruction of that grenade, then the rabbit's x coordinate and y coordinate , separated by spaces. Every value in the input is between and .
Output
For each test run, print Bunny Bits on its own line if the grenade blows the rabbit to bits, or Bunny Biteth Knights if the rabbit lives to fight on another day.