GIRLSNBS - Girls and Boys

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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
suyashky: 2018-11-10 09:40:15

Need to find smaller and larger among B and G , and normal division and modulus..
And yes , b= 0 and g=0 costed a WAs , take care of that

prachij: 2018-10-03 21:35:22

AC in one go!! 2nd one today :) :)

aanchalsingh: 2018-07-05 22:05:13

My 100th.Easy one:)

trupti18: 2018-06-27 06:29:47

i liked this problem. it teaches a new concept. big things come in small packages

mayank1208_: 2018-06-23 19:15:46

very easy...not to think much..

masterchef2209: 2018-06-22 16:46:07

figured it out using test cases...simple one :)

ajayc1007: 2018-06-17 15:06:26

Lots of paper work needed. Try on your own !!!

wrzoboo: 2018-06-06 11:58:58

18 lines in python3

sharmajatin741: 2018-05-22 17:17:27

AC in one go without knowing pigeonhole principle !

kkislay20: 2018-03-13 18:21:55

Pigeonhole and some thinking gives it away.


Added by:Pablo Ariel Heiber
Date:2010-09-27
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