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
rishisingh7012: 2021-11-20 13:55:20


rohan70970: 2021-11-18 10:25:17

Ac in one go..

drakeramory_18: 2021-11-14 12:09:36

input method is bit diff good problem btw..

iseng_cuk: 2021-10-16 08:39:41

I keep getting WA.
is there a logic error in my code?

[NG]: Don't post code here, use forum for debug etc.

Last edit: 2021-10-18 02:52:21
sid15298: 2021-06-20 09:56:29

Solved problem in one go

unwanted_coder: 2021-05-24 19:08:07

why this give wrong ans (a+c)/2==b in if condition

ahmedsergany: 2021-02-06 08:03:24


aniket_s_k: 2020-11-28 11:29:14

why this gives wrong answer when we use if(b==(a+c)/2 )?

ghost_of_past: 2020-11-13 19:52:39

who says float? IT JUST INTEGERS!

karlo_2107: 2020-11-03 19:48:39

try with bfs!

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