EMP - University Employees

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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.


hide comments
Alex: 2012-04-15 13:43:17

Smallest Code I've ever written in Spoj. Saw the testcase wrote down my first idea, got AC :)

brainf*cker: 2012-03-24 00:17:29

too hard!

saket diwakar: 2012-01-11 10:30:42

can anyone please give some more test cases...i did'nt understood properly

Tommy Adhyasa S.: 2011-12-12 12:22:51

this is not a problem at all... -__-"

qwerty: 2011-12-09 15:22:13

PROBLEM SHOULD BE DELETED...

blashyrkh: 2011-07-24 20:41:14

Is it possible that N=M=0? I think: N=0 ==> he is definitely a liar, but he answered a truth on the second question. Contradiction?

azer: 2011-06-12 05:50:12

should not be in tutorial, should not be in anywhere, delete this problem

Last edit: 2011-06-12 05:50:34
ashutosh gautam: 2011-06-07 17:32:18

plz can anyone provide more test cases?

~: 2011-05-29 21:05:39

check out test cases??

Hapsoro Adi Permana: 2010-12-16 05:08:22

should be in tutorial


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