ACPC10A - What’s Next
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:
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
*No need to stress on data type all ints, costed me 4 WAs :(
625 125 5 can,t be a test case because it,s common ratio is not an integer
a,b,c mus be distinct,read the problem :) So,1,1,1 obviously not in the test case .
can anybody give me some corner cases?
Why 1 1 1 should be AP while clearly above it stated that difference should be a non zero integer, anyway i guess its not in test case.. :)Last edit: 2016-09-29 09:04:57
enjoy :)Last edit: 2016-09-25 20:07:33
common ratio should be integer
1 1 1 can never be case because all three numbers should be distinct.
I haven't seen such a stupid question on spoj til date...
note 1 1 1 can be both ap and gp