RAONE - Ra-One Numbers

In the War between good and evil . Ra-One is on the evil side and G-One on the good side.

Ra-One is fond of destroying cities and its G-one's duty to protect them..

 

Ra-One loves to destroy cities whose Zip Code has special properties. He says he loves to destroy cities which have Ra-One numbers as their Zip Code.

Any number is Ra-one if the Difference between Sum of digits at even location and Sum of digits at odd location is One (1).. For eg... for 234563 is Ra-One number

digits at odd location are 3,5,3 (unit place is location 1 )

digits at even location are 2,4,6

Diff = (2+4+6)-(3+5+3)=12-11 = 1.

And 123456 is not Ra-One number

diff = (5+3+1) - (2+4+6) = -4

 

G-One knows this about Ra-one and wants to deploy his Army members in those cities. 1 army member will be deployed in each city.

G-one knows the range of ZIP-Codes where Ra-One might attack & needs your help to find out how many army members he needs.

Can you help Him ?

Input

First line will have only one integer 't' number of Zip-Code ranges. it is followed by t lines

Each line from 2nd line contains 2 integer 'from'  and 'to'. These indicate the range of Zip codes where Ra-one might attack. ('From' and 'to' are included in the range)

NOTE:'t' will be less than 100. 'from' and 'to' will be between 0 and 10^8 inclusive.

Output

A single number for each test case telling how many army members G-One needs to deploy.

each number should be on separate lines

Example

Input:
2
1 10
10 100

Output:
1
9

explanation:

for 1st test case the only number is 10

for 2nd test case numbers are 10, 21, 32, 43, 54, 65, 76, 87, 98


Added by:Devil D
Date:2012-02-21
Time limit:0.101s
Source limit:30000B
Memory limit:1536MB
Cluster: Cube (Intel G860)
Languages:All except: ASM64
Resource:Own

hide comments
2019-11-22 19:51:04
My 2nd digit dp problem
great one to learn digit dp
happy coding
2019-10-09 19:31:27 Manish Kumar Prajapati
(5+3+1) - (2+4+6) = -3 .
2019-09-08 11:13:11
3rd digit dp problem AC in one go
2018-12-10 12:07:57
Stupid problem statement...
10 is Ra-one but 100 is not.....why?
cz , they start index counting in reverse order... ,so for 100, 1 is in 3rd position
2018-09-12 22:37:03
AC in one go! Nice digit dp problem :)

Last edit: 2018-09-12 22:37:33
2018-02-12 08:19:45
Be careful. From and to are between 0 and 10^8 inclusive so it can be 0. That caused my WAs.
2018-02-08 09:04:35
wasted time in figuring out from where the indexing starts , poor explanation given !
2018-02-04 13:34:17 Akshay Aradhya
Just to clarify Difference here is not the absolute difference
2018-01-26 15:41:36 Reayz
It take a lot of time to understand that index is counting from last digit...:(
2017-11-25 12:02:45
Why 100 is not counted?
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