ACPC10A - What’s Next

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According to Wikipedia, an arithmetic progression (AP) is a sequence of numbers such that the difference of any two successive members of the sequence is a constant. For instance, the sequence 3, 5, 7, 9, 11, 13, . . . is an arithmetic progression with common difference 2. For this problem, we will limit ourselves to arithmetic progression whose common difference is a non-zero integer.
On the other hand, a geometric progression (GP) is a sequence of numbers where each term after the first is found by multiplying the previous one by a fixed non-zero number called the common ratio. For example, the sequence 2, 6, 18, 54, . . . is a geometric progression with common ratio 3. For this problem, we will limit ourselves to geometric progression whose common ratio is a non-zero integer.
Given three successive members of a sequence, you need to determine the type of the progression and the next successive member.

Input

Your program will be tested on one or more test cases. Each case is specified on a single line with three integers (−10, 000 < a1 , a2 , a3 < 10, 000) where a1 , a2 , and a3 are distinct.
The last case is followed by a line with three zeros.

Output

For each test case, you program must print a single line of the form:
XX v
where XX is either AP or GP depending if the given progression is an Arithmetic or Geometric Progression. v is the next member of the given sequence. All input cases are guaranteed to be either an arithmetic or geometric progressions.

Example

Input:
4 7 10
2 6 18
0 0 0

Output:
AP 13
GP 54

hide comments
vkash: 2017-10-16 11:04:26

AC in 4th go..!!
silly mistake was doing about 0 case

skeladoom07: 2017-09-08 20:22:02

AC in one GO!!!
easy...

nuthanchandra: 2017-09-06 19:54:04

There is no need to check for -5,0,5 or division by zero

Last edit: 2017-09-06 19:54:26
phleg_matic: 2017-08-29 19:40:33

Be careful about division by 0 and in the case of GP having one of the 2nd or 3rd number is zero

Sebastian Ceronik: 2017-08-23 10:02:35

While loop slapped me in the face :) wrong end condition costed me WA

yuyao_1415926: 2017-08-03 08:03:05

be careful for -5, 0, 5

vishal3410: 2017-07-14 18:35:19

it is not accepting could someone find mistakes http://ideone.com/ZNaxYd

singlasahil221: 2017-07-09 11:26:24

AC in one GO.
Damn easy.

manish_nit97: 2017-06-29 12:20:07

AC in 2nd GO!!
DAMN EASY ONE

hasan_nsu: 2017-06-08 23:38:01

so easy......


Added by:Omar ElAzazy
Date:2010-11-30
Time limit:1.799s
Source limit:50000B
Memory limit:1536MB
Cluster: Cube (Intel G860)
Languages:All except: ASM64
Resource:ACPC 2010