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.


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.


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.


10 10
5 1
0 1000
-1 -1

hide comments
sahil_19: 2020-04-23 14:17:05

Hint: Use gapping method like in pnc

mo_affan01: 2020-02-05 09:02:29

try to construct a formula by taking different cases

mrmajumder: 2020-01-31 16:35:57

Pigeon Hole Principle :D

Tomek Jarosik: 2020-01-08 19:10:25

no need to handle edge-cases if you have a correct formula

manish_thakur: 2019-12-17 14:11:15

take care of case 0 0
cost me 3 WAs

naman_mawandia: 2019-08-04 07:29:29

case 1 0 or 0 1
output is 1

aryan29: 2019-06-03 18:10:10


shaakal: 2019-05-22 12:29:37

simple first divide minimum+1 with max and take ceil

aj_254: 2019-05-06 06:49:30

5 line code in python always remember if input is 5 1 total six student so you put 1 in mid that 2 partitions but thats why you have to divide it by min(g,b) +1 that give you right anwer ez pz ac in one go because showoff is good for you mental health

klmo: 2019-04-26 19:00:59

Take minimum of girls and boys and divide total students. The problem is basically how many partitions can be done in x objects with y different objects.

Added by:Pablo Ariel Heiber
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