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
Rishabh Joshi: 2014-12-24 17:55:23

Working with even hitman's testcases, still WA. :/ any help?

Anand: 2014-12-24 17:51:23

silly mistake , costed me 1wa . Thanks Hitman , testcase helped

Mayank Ladia: 2014-12-24 11:17:28

[spoiler removed].... but test cases are weak... :p

Last edit: 2015-03-28 16:35:40
jiglipufff: 2014-05-12 15:45:12

my frst typical [spoiler removed] prob!!!!

Last edit: 2015-03-28 16:35:53
The Exorcist: 2014-04-18 13:04:52

easy [spoiler removed] !!

Last edit: 2015-03-28 16:36:04
nitesh kumar: 2014-04-17 09:57:35

half century!!!

Last edit: 2014-02-08 07:38:34
Ashish Tilokani: 2014-04-17 09:57:35

really easy!

Bumbler: 2014-04-17 09:57:35

Took me an year to do this problem ! And what a day 1/1/2014 ! :)

pranjuldb: 2014-04-17 09:57:35

easy problem... got ac in frst attempt:)

Hitman: 2014-04-17 09:57:35

Some Random Test Cases
1 5
5 80
100 200
500 600
1000 1000

1
5
57
217
399


Added by:cegprakash
Date:2012-10-13
Time limit:10s
Source limit:50000B
Memory limit:1536MB
Cluster: Cube (Intel G860)
Languages:All except: ASM64