GIRLSNBS  Girls and Boys
There are G girl students and B boy students in a class that is about to graduate. You need to arrange them in a single row for the graduation. To give a better impression of diversity, you want to avoid having too many girls or too many boys seating consecutively. You decided to arrange the students in order to minimize the gender regularity. The gender regularity of an arrangement is the maximum number of students of the same gender (all girls or all boys) that appear consecutively. Given G and B, calculate the minimum gender regularity among all possible arrangements.
Input
Each test case is described using a single line. The line contains two integers G and B representing the number of girls and boys in the class, respectively (0 ≤ G, B ≤ 1000). The end of input is indicated with a line containing the number −1 twice.
Output
For each test case, output a single line with a single integer representing the minimum gender regularity that an arrangement of G girls and B boys can have.
Example
Input:
10 10
5 1
0 1000
1 1
Output:
1
3
1000
hide comments
yead_025:
20171116 18:48:19
pigeonhole principle !! 

sinersnvrsleep:
20171110 16:14:40
AC in one go very simple math needed 

shashank_222:
20171027 01:59:51
AC in one go!!


kush_pathak01:
20171013 15:53:27
AC in one go!!!! 

sedulous_001:
20170925 17:00:19
Consider case of both boys and girls to be zero. Gave me a WA once :( 

anshul0311:
20170911 21:29:29
Why minimum gender regularity is not 2 in second test case G G B G G G , min two consecutive girls will be there 

paramvir:
20170829 19:19:05
three lines of code . . took a little time but don't give up :) 

madhur4127:
20170820 10:06:20
my first problem to get AC in first sub, yeah! 

himanshu_12345:
20170615 18:32:31
can anyone tell why i am getting wrong answer this is the link


ramesh_961:
20170530 08:00:05
Hey I learnt usuage of discrete maths here!! I.e, using a PIGEON HOLE principle!! Nice One!! Read it, just think a little,and u get it using Pigeon Hole Principle!!

Added by:  Pablo Ariel Heiber 
Date:  20100927 
Time limit:  2s 
Source limit:  50000B 
Memory limit:  1536MB 
Cluster:  Cube (Intel G860) 
Languages:  All except: ASM64 NODEJS OBJC VB.NET 
Resource:  FCEyN UBA ICPC Selection 2010 