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.


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.


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.


4 7 10
2 6 18
0 0 0

AP 13
GP 54

hide comments
mohammadsaad: 2018-11-21 14:07:43

AC In One Go!!! Requires Some Basic Math.

dhia01: 2018-09-13 14:36:05

why so ez ?

anant6025: 2018-09-10 15:41:30

Easy question,just you need to know the fundamental ap,gp property and when to break.

veedee: 2018-06-05 08:30:31

woohoo ac in one go again!!
twice in 1 day

nishant1ranjan: 2018-06-03 15:46:44

@ashish_343 thanks bro

shubhamshree10: 2018-05-29 14:31:28

Asshole question.....
The question setter didn't even put all checks/conditions mentioned in question.

Not worth your time & Try !

launchpad: 2018-05-08 02:14:39

Stupid ass wrong f**king question . The wrong solution gets accepted . The numbers need to be distinct but the solution which got accepted could accept numbers which are equal disqualifying the criteria of non-zero integer as cd or cr . Still the solution got accepted . Such a waste of precious time .

ashish_343: 2018-03-25 23:54:42

ac finally! use b*b=ac intead of any fraction like (b/a)=c/b

Last edit: 2018-03-26 20:12:47
returnofsk: 2018-03-07 06:48:34

can we take inputs and immediately print outputs? I have been trying to take all inputs first then print output.. i am new here

Last edit: 2018-03-07 06:49:18
returnofsk: 2018-03-07 06:27:14 it shows WA. someone help

Last edit: 2018-03-07 06:38:43

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