AP3  AP  Complete The Series v2
After solving "AP  Complete The Series (easy)" very fast, Lucifer decided to make it little more interesting.
He said
He will be give you the 3rd term , 4th last term and the sum of the AP series. You need print length of the series & 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' ,'4Lastterm' and 'sum'
3term  is the 3rd term in the series and
4Lastterm  is the 4th last term in the series and
sum  is the sum of the series.
Output
For each input of the test case, you need to print 2 lines.
fist line should have 1 value number of terms in the series.
2nd line of the output should print the series numbers separated by single space.
Example
Input:
1
3 7 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)
hide comments
[Lakshman]:
20130128 16:48:45
@Devil D PLEASE CHECK


gaurav:
20130123 21:32:07
&devil..


Ouditchya Sinha:
20130113 14:25:14
Finally AC :) ( After 30 WA + TLE ) phew...


Himanshu:
20121221 13:43:38
TELL ME WHY GIVES WA ID IS:8316209


gourav:
20121110 07:54:26
nice question... but my problem wasn't any good.. again, as AP2 i was not printing n in the o/p hell... it cost me 1 hour... :'( 

Aayush Bahuguna:
20121001 00:45:13
sqrt(x) is float in python and have limited precision


akb:
20120916 12:59:57
I hate nasty precision and/or I/O optimization type questions.... 

theChosenOne:
20120915 10:58:33
Don't judge a problem just by the simplicity of it ;) 

Zhiang:
20120817 18:26:26
even the given test case fails on my system,but got AC :)


Rohit:
20120623 12:28:08
finally got AC..:)) 
Added by:  Devil D 
Date:  20120313 
Time limit:  0.100s 
Source limit:  10000B 
Memory limit:  1536MB 
Cluster:  Cube (Intel G860) 
Languages:  All except: ASM64 
Resource:  Own 