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AP2 - AP - Complete The Series (Easy) |
Arithmetic and geometric Progressions are 2 of the well known progressions in maths.
Arithmetic progression(AP) is a set in which the difference between 2 numbers in constant. for e.g., 1, 3, 5, 7, 9 ... In this series the difference between 2 numbers is 2.
The task here is very simple indeed.
You will be given the 3rd term , 3rd last term and the sum of the series. You need print length of the series and the series.
Input
First line will contain a number indicating the number of test cases.
Each of the following t lines will have 3 number '3term', '3Lastterm' and 'sum'
3term - is the 3rd term in of the series and
3Lastterm - is the 3rd term in of the series and
sum - is the sum of the series.
Output
For each input of the test case, you need to print 2 lines.
First line should have 1 value - the number of terms in the series.
2nd line of the output should print the series numbers separated by single space.
Example
Input: 1 3 8 55 Output: 10 1 2 3 4 5 6 7 8 9 10
NOTE:
- In all the test cases, all the series elements are positive integers.
- The series will have at least 7 elements.
- number of test cases <=100.
- All the numbers will fit in 64 bits (long long in C)
Added by: | Devil D |
Date: | 2012-03-13 |
Time limit: | 0.100s |
Source limit: | 1500B |
Memory limit: | 1536MB |
Cluster: | Cube (Intel G860) |
Languages: | All except: ASM64 |
Resource: | Own |
hide comments
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2016-05-31 18:44:00 Tushar Singh
Can someone illustrate whats wrong with first finding quadratic in n, solving using quadratic root formula instead of first term + last term approach |
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2016-05-14 15:08:45 Rishabh Gupta
School level maths problem :)....piece of cake hint: just use the most basic formula of sum of an AP Last edit: 2016-05-14 15:12:47 |
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2016-02-18 12:42:12
getting tle in java :( no loops used |
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2016-02-14 06:11:30
how stupid can a person be..surely not more than me finally AC! (-_-') |
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2016-01-18 17:45:45
a very easy question.just a bit of insight in maths is required.AC in first go |
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2016-01-06 22:37:58
there is no testcase yet in which T3 == T(n-2) ...!! Last edit: 2016-01-06 22:38:12 |
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2015-12-23 09:59:24
@utkarsh5 NOTE - In all the test cases all the series elements are positive integers. The series will have at least 7 elements. So your test case will not occur |
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2015-12-19 14:35:43
0.1 sec isn't long enough to load Java. |
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2015-12-19 10:34:09
The test case 5 5 25 can have two answers, like 1 3 5 7 9 or 3 4 5 6 7. I am getting WA, can this be the reason? |
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2015-10-31 01:09:57
hmmm....It will usefull if you think of the subtraction of the two first terms and the two last ones....u-r+u-2r l+r+u+2*r, when you do the summation: you get 2u+2l...good luck, it's a quite thougthful, it isn't that easy.. |