EMP - University Employees

On some island each inhabitant is either a knight who only tells the truth, or a liar who always lies. Also, on the island there exists a university of technology where some of the inhabitants work. All of the university employees will always tell you the following two things, no matter which employee you ask:

1. There are fewer than N employees who work more than me.


2. At least M employees of the university have a larger salary than me.


It is also known that no two employees of the university have an identical salary, and no two work equally. Write a program which will compute how many persons are employed by this university.

Input

The only input line contains two integers N and M, with one space between them [N, M <= 1000000000].

Output

The output must contain only one integer - the total number of employees of this university, or 0 if there is no way to find the number of employees.

Example

Input:
1 1

Output:
2

Author: Filimonenkov D.O.


Added by:Roman Sol
Date:2006-04-24
Time limit:1s
Source limit:50000B
Memory limit:1536MB
Cluster: Cube (Intel G860)
Languages:All except: ERL JS-RHINO NODEJS PERL6 VB.NET
Resource:ZCon 2007

hide comments
2012-06-23 13:08:00 Tejas Shah
The sale for points question! :P
2012-06-16 20:57:07 Darky
Not for spoj!
2012-06-16 15:08:13 :)
what is this!!! free points in classical!!!!!
2012-06-11 10:00:19 The Mundane Programmer
delete it buddy....
2012-06-11 09:59:55 The Mundane Programmer
delete it buddy....
2012-06-09 13:53:03 Kyle Dencker
Could anyone give a few more test cases? I am not quite getting what they are asking.
2012-06-09 12:39:35 Pranshul Agarwal
even not for the begineers
2012-05-25 20:32:14 Ashhar Jawaid
what the hell is this question
doesnt even qualify for a tutorial

6 lines only!!!! and 110 chars

Last edit: 2012-05-25 20:32:54
2012-05-20 21:03:09 Vrian7
this is problem is tutorial..
2012-05-11 15:00:18 Mathan Kumar
Enna Koduma sir ithu?? Not even qualify for tutorials..
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