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
s1998: 2016-05-22 13:12:46

Last edit: 2016-05-22 13:14:09
ghost_wire: 2016-04-19 19:16:00

one silly mistake costed me 4 WA.

chandansirola: 2016-04-19 16:16:05

Last edit: 2016-04-19 16:18:33
ghost_wire: 2016-03-27 10:54:26

@laid_to_rest its GP.

Kyle Dencker: 2016-03-15 03:44:16

very upset with myself. 3 WA because my logic on my loop was broken.

devilshashank: 2016-03-06 09:20:00

got wrong answer 4 times just couz ...was not giving '\n' don't forget !

rishabh_1997: 2016-02-11 08:05:35

pretty easy after a silly mistake caused 1 wa

deepukps: 2015-12-29 10:06:11

@laid to rest answer will be GP

Siddhartha Gairola: 2015-12-26 15:18:12

Easy just use 2*b = (a+c)

vishu_100: 2015-12-25 20:37:27

dont forget the /n costed me one wa.

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