VPL2_AA  Luis Quest
Luis is playing his old metroid game. Just a little while ago he pass trough a scenario where the room was filled with some amoebalike creatures. The room started with some initial number of creatures, but they multiply their selves very quickly, because their growth rate is proportional to the number of creatures at a certain time. Luis took note about this fact, he wrote the number of creatures at the initial time, and then, after wait t time units, he wrote the new amount. Now Luis wants to know, for a certain number of creatures p, the exact time he has to be in the room to see that amount.
Input
The first line contains an integer T, which specifies the number of test cases. Then, will follow the descriptions of T test cases.
For each test case, there will be 2 lines, the first one will contain 4 integers, p0, p1, t and p. These numbers represents the initial amount of creatures, the second amount of creatures, the time units that Luis waited to see that change, and the number of creatures that Luis wants to see.
Output
For each input case you must print a single line containing the string "Scenario #i: " where i is the number of the test case (starting at one), and then the answer to the problem rounded to two decimal places. There will always be an answer.
Example
Input: 4 10 15 3 15 10 15 3 20 5 12 2 50 5 12 2 7 Output: Scenario #1: 3.00 Scenario #2: 5.13 Scenario #3: 5.26 Scenario #4: 0.77
Constraints  100%
1 ≤ T, p0, p1, t, p ≤ 100
hide comments
dynamo214:
20180812 13:55:38
Easy Peasy.Just remember formula for exponential increment of insects  N = No * e^rate*time 

sharif ullah:
20160810 08:38:37
Just use physics formula N=No e^lemda*t 

mkfeuhrer:
20160621 18:42:46
WA in c++ .... AC in c!! 

piotrwie:
20160205 14:07:04
A typical "Project Manager" problem ;)


pranay:
20150901 20:19:05
use first order equilibrium rate equation


shravinson:
20150823 10:11:11
got 1 WA because of output pattern...


anuveshkothari:
20150728 14:12:13
solution of the problem is depends completely on this line


scyth3r:
20150712 23:05:18
INPUT:


viju11:
20150603 21:05:01
there is a space b/w Scenario & # and b/w ":" and answer. costed me many wrong answers _


Rishabh Joshi:
20150526 21:39:06
Keep getting NZEC in C#.

Added by:  Venezuelan Programming League 
Date:  20130622 
Time limit:  1s 
Source limit:  50000B 
Memory limit:  1536MB 
Cluster:  Cube (Intel G860) 
Languages:  All except: ASM64 