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NKDIST - Distance |
English | Vietnamese |
Consider a sequence D consisting of an infinite number of hexadecimal digits made by concatenating all the positive integers 1, 2, 3, 4,..., N,...
The sequence D begins with:
123456789ABCDEF101112131415161718191A1B1C1D1E1F202122...
We may see D as an infinite string of hexadecimal digits. Let S be an arbitrary string consisting only of hexadecimal digits. The number of occurrences of S in D as a substring is infinite. The distance between two nonoverlapping occurrence of S is the number of digits between these two occurrences. For instance, if S='21', the distance between the first two occurrences of S is 27 (as illustrated above).
Task
You are given a string S of at most 30 characters long. Write a program that determines the distance between the first two occurrences of S in D.
Input
The input contains the string S in a single line.
Output
The output contains the distance between the first two occurrences of S in D in a single line.
Example
Input 21 Output 27 Input A Output 26
Added by: | Jimmy |
Date: | 2008-01-17 |
Time limit: | 1s |
Source limit: | 50000B |
Memory limit: | 1536MB |
Cluster: | Cube (Intel G860) |
Languages: | ADA95 ASM32 BASH BF C CSHARP CPP C99 CLPS LISP sbcl LISP clisp D FORTRAN HASK ICON ICK JAVA LUA NEM NICE OCAML PAS-GPC PAS-FPC PERL PHP PIKE PRLG-swi PYTHON RUBY SCM guile ST WHITESPACE |
Resource: | Vietnamese Olympiad in Informatics 2003 |