DIEHARD  DIE HARD
Problem Statement:
The game is simple. You initially have ‘H’ amount of health and ‘A’ amount of armor. At any instant you can live in any of the three places  fire, water and air. After every unit time, you have to change your place of living. For example if you are currently living at fire, you can either step into water or air.
If you step into air, your health increases by 3 and your armor increases by 2
If you step into water, your health decreases by 5 and your armor decreases by 10
If you step into fire, your health decreases by 20 and your armor increases by 5
If your health or armor becomes <=0, you will die instantly
Find the maximum time you can survive.
Input:
The first line consists of an integer t, the number of test cases. For each test case there will be two positive integers representing the initial health H and initial armor A.
Output:
For each test case find the maximum time you can survive.
Note: You can choose any of the 3 places during your first move.
Input Constraints:
1 <= t <= 10
1 <= H, A <= 1000
Example:
Sample Input:
3 2 10 4 4 20 8
Sample Output:
1 1 5
hide comments
Aakash:
20151209 18:28:31
The tag for this problem is a TRAP. 

newbie:
20151114 21:23:23
yeah accepted in one go with 0.00 :) 

jarvis:
20151008 18:32:54
First [spoiler] in one go :) Last edit: 20151012 14:18:31 

Nallagatla Manikanta:
20150829 22:29:20
Accepted in one go 

ANIKET:
20150827 19:50:06
[spoiler removed] Last edit: 20150916 23:29:07 

Anurag Sharma:
20150827 11:36:18
what is [spoilers removed] !!! 

Mohit Rathore:
20150823 07:10:27
So funny to read the comments! :P 

shravinson:
20150722 17:08:03
https://ideone.com/5jBTWe


Shashank Tiwari:
20150705 15:28:38
For those who are trying [spoilers removed] Last edit: 20150810 20:59:54 

ericleoo:
20150629 02:06:12
How to solve it using [spoilers removed]? I used [spoilers removed] bcs the constraints are feasible. But I really want to learn [spoilers removed]. Last edit: 20150810 21:00:43 
Added by:  cegprakash 
Date:  20121013 
Time limit:  10s 
Source limit:  50000B 
Memory limit:  1536MB 
Cluster:  Cube (Intel G860) 
Languages:  All except: ASM64 