FUNPROB  Yanu in Movie theatre
Yanu is a great fan of Harry Potter. So on the day of the movie release, Yanu rushes to the movie theatre to watch the movie. On the release of the 6th movie, on reaching the theatre she found a long queue for tickets already. As the distribution was about to start, the ticket counter did not have any change to start with. There are N+M people in queue, where N have Rs 10.00 and M have Rs 5.00. The ticket costs Rs 5.00.
Now Yanu is math geek too, now she wonders What is the probability that the theatre can always provide change.
Input
Each line contain N and M, separated by a space, End of Input is marked by 0 0 which should not be processed. Both N and M fits in integer range.
Output
For each input, output the respective probability up to 6 decimal digits.
Example
Input:
1 0
0 1
41 41
0 0
Output:
0.000000
1.000000
0.023810
hide comments
infinity_98:
20200709 09:25:43
is this probem can be solved by catalan number concept? 

divyansh15:
20200514 12:48:26
the solution to the problem: https://en.wikipedia.org/wiki/Bertrand%27s_ballot_theorem


pratyushgoel99:
20200102 18:55:31
how is this easy ? i could'nt come up with the formula :( 

pandey101299:
20190322 07:02:52
So easy just observe the pattern 

masterchef2209:
20190306 22:01:08
if anyone solved it using formula. can you please post in detail, how you arrived at the formula? 

masterchef2209:
20190306 21:51:46
damn i suck at math :( 

sanyam19:
20180108 22:39:50
it was n easy problem.... :)


trijeet:
20170920 00:28:49
Use printf("%lf",ans) for ordering. Got WA without it. 

abhi2296:
20160509 17:05:20
my 50th!!! Easy! 

azam_9:
20160131 06:57:58
my 50th..ac in 1 go...<3 
Added by:  Hemant Verma 
Date:  20090815 
Time limit:  0.506s 
Source limit:  1024B 
Memory limit:  1536MB 
Cluster:  Cube (Intel G860) 
Languages:  All except: ERL JSRHINO NODEJS PERL6 VB.NET 
Resource:  A Classical Probability Problem 