RPLH  Hard Launching
Felix, the cat, decided to play in the afternoon with some melons, he built a “melon launcher” and started pointing to targets. Soon he noticed that the melons sometimes overflies the victims or don't even get close to them.
The melon launcher can be rotated so it can shoot from an angle from 0 to 45 degrees.
Felix isn't good at maths, so he ask you to code a program that, given the target (in meters) distance and the speed (in meters / sec) you can give him the perfect angle for the melon launcher.
The gravity to be considered is of 9.806 meters / sec^2
PI value to be considered is 2*acos(0.0).
Input
The first line of input will contain an integer T denoting the T test cases, then, T cases will follow. Each of the following line will contain two integer numbers Ta and Sp, denoting the distance of the target and the speed of the melon respectively.
Output
Output the string “Scenario #i: “ where i is the test case you are analyzing followed by a single number D, denoting the Degrees necessary to do the launch, if the launching can't be done, output D as 1. the number must have a precision of 2 decimal digits.
Example
Input: 3 10 10 10 9 8 9 Output: Scenario #1: 39.35 Scenario #2: 1 Scenario #3: 37.79
Constraints
0 < Ta, Sp < 10000
hide comments
shubham_03:
20190109 15:13:20
Alert during conversion.. 

sonuverma:
20180117 14:15:02
for inverse, use acos(x) or asin(x) in c :) 

bayulaxana:
20171228 14:09:13
do this with physics...


nadstratosfer:
20170825 07:57:07
 brag at every solved problem comments about how "EZ" it was,


Anand:
20170120 07:54:09
@get_right_jr,


shubham_cs_iet:
20161223 07:27:13
here the given distance is the horizontal range of projectile. 

get_right_jr:
20160531 13:29:33
Submitted in C  AC  time=0.00


minhthai:
20160118 11:55:30
so we physics now :)


TUSHAR SINGHAL:
20150610 13:58:26
remember there is a space betweeen colon and answer /.......costed me 2 wa before enlightment 

Archit Joshi:
20150522 18:29:42
2 TLE plzzzz helppp

Added by:  david_8k 
Date:  20120505 
Time limit:  0.158s 
Source limit:  50000B 
Memory limit:  1536MB 
Cluster:  Cube (Intel G860) 
Languages:  All except: ASM64 
Resource:  Own Problem used for the RPL contest 