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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 |
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2017-12-13 10:51:06
ac in one go!!! |
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2017-11-22 15:50:24
Check for case where 3rd term and 3rd last term are equal in python. Cost me 2WA |
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2017-10-16 21:24:33
high school math :) |
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2017-09-30 10:40:10
Got WA for int. AC in long long:p |
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2017-09-02 20:09:41
Pure math!!!!!!! AC in one go |
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2017-08-26 07:33:48
1 WA for not printing N, avoid! |
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2017-08-18 07:12:04
Big HINT. Don't try some long mind fuck formula. Read this only if you are stuck. Sn = (n/2) * (3Term + 3LastTerm) . Try to derive this formula. Last edit: 2017-08-18 07:12:57 |
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2017-08-06 12:58:20
are all input series AP ? |
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2017-05-29 09:29:28
Easy Think cool!! n>=6(no of elements) in all test cases!! |
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2017-05-19 20:09:55
Easy! |