Ivica has set up a new parquet flooring in his room. The room is L decimeters long and W decimeters wide. 

The blocks are of quadratic shape and each has an area of one quadratic decimeter. Once Ivica had set up the flooring, which consists of brown.colored blocks, he decided to paint the blocks on the edge of the room red. 

The picture below illustrates the scenario from the test case #2 – outer blocks are red, while the remaining two inner blocks are brown: 

Marica has come to visit Ivica. While Ivica was serving her cookies, she counted the number of blocks of each color. When she returned home, she recalled of the two numbers and wished to calculate the dimensions of Ivica’s room. Help her! 


The first and only line of input contains two integers separated by a space,  R (the number of red blocks) and B (the number of brown blocks). The following constraints will apply: 8 ≤ R ≤ 5000, 1 ≤ B ≤ 2*106


The first and only line of output must contain the dimensions of the room, L and W, respectively. If the numbers differ, output the greater one first. The test data will ensure that a unique solution always exists.

input 1:
8 1

output 1:
3 3
input 2:
10 2

output 2:
4 3

hide comments
codequant: 2019-09-27 09:34:18

Piece of cake, just use area and perimeter formula and find the relation. Loop & find the integer which satisfies the relation.

ash_demon8: 2018-05-12 16:00:55

easy maths... ac in one go... think from basic:)

divyaprakash18: 2016-11-27 19:10:01

Fun math derivation + 5 lines code ;)

nonushikhar: 2016-07-12 16:37:25

move this to tutorial :)

manohar_4139: 2016-06-21 11:48:46

only formula gets AC:(

suresh_india7: 2016-01-09 20:07:28

hint:let actual length and width are x & y ;)

Arnab Mitra: 2015-06-19 05:51:25

Mathematically derive the formula. After that 2 min coding.

Rishabh Joshi: 2015-06-17 20:03:12

Maths. 5 min formula derivation, 5 min coding.

Erik Lonèarek: 2015-01-21 02:06:30

Picture and full problem specification available on:

Added by:Kawmia Institutes
Time limit:1s
Source limit:50000B
Memory limit:1536MB
Cluster: Cube (Intel G860)