CPCRC1C - Sum of Digits

Majid is a 3rd-grade elementary student and quite well in mathematics. Once, Majid's teacher asked him to calculate the sum of numbers 1 through n.

Majid quickly answered, and his teacher made him another challenge. He asked Majid to calculate the sum of the digits of numbers 1 through n.

Majid did finally find the solution. Now it is your turn, can you find a solution?

Input

Two space-separated integers 0 <= a <= b <= 109.

Program terminates if a and b are -1.

Output

The sum of the digits of numbers a through b.

Example

Input:
1 10
100 777
-1 -1

Output:
46
8655

Added by:Tii
Date:2010-10-25
Time limit:1s
Source limit:50000B
Memory limit:1536MB
Cluster: Cube (Intel G860)
Languages:All except: ASM64
Resource:http://cs.ikiu.ac.ir/cms/icpc/training/7-contest/86-contest1

hide comments
2020-12-24 13:10:13
easy peasy ...
2020-09-15 13:12:55
3Dp Problem With State As: (pos,sum,tight)
2020-05-28 20:42:08
AC in one go!
2019-11-22 16:39:02
Basic Digit dp problem
Happy coding
2019-09-08 05:59:12
Well got my first digit dp problem accepted, Thanks for the question. DIGIT DP works like a bliss!
2019-07-11 18:34:08
it can be tagged as combinatorics
2018-06-19 15:27:14
just same as this one .....here b<=1e15
http://www.spoj.com/problems/PR003004/
2018-05-18 11:38:45
can be solved without digit dp

Last edit: 2018-05-18 11:48:58
2018-02-26 20:59:51
A comment was left
2018-02-04 12:56:06 Akshay Aradhya
Digit DP :)
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