Exit code

Problem code: ECODE

All submissions for this problem are available.

Professor X got lost in a maze of an ancient tomb in Egypt. While he was finding the way to escape, he got a message of the tomb builders on the old walls:

 

  • The code to open the exit door is the sequence C of n digits formed c1..cn (ci∈[0,9] ).
  • For every sequence C, combining with the given integers A,B, call:
    • h0=0
    • hi=(hi-1×A+ci) mod B
  • The smallest sequence C (in lexicological order) satisfying hn=G (where G is a given integer) is the exit code which professor X needs.
    • 1≤n≤12
    • 10≤A,B≤1015
    • 0≤G<B
    • The input satisfies that the answer always exist.

    • Request

    Give the integers n,A,B,G, help professor X find out the exit code!

    Input

    One and only line contains the integers n,A,B,G, respectively, each of them is separated with at least one space character.

    Output

    Output in a single line the exit code found.

    Example

    Input: 
    3 11 111 92
    Output: 
    084

    Limitations

    * 1<=n<=12
    * 10<=A,B<=1015
    * 0<=G<B
    * The input satisfies that the answer always exist.


Author: anhdq
Date Added: 5-05-2010
Time Limit: 6 sec
Source Limit: 50000 Bytes
Languages: ADA, ASM, BASH, BF, C, C99 strict, CAML, CLOJ, CLPS, CPP 4.0.0-8, CPP 4.3.2, CS2, D, ERL, F#, FORT, GO, HASK, ICK, ICON, JAR, JAVA, JS, LISP clisp, LISP sbcl, LUA, NEM, NICE, PAS fpc, PAS gpc, PERL, PERL6, PHP, PIKE, PRLG, PYTH, PYTH 3.1.2, RUBY, SCALA, SCM guile, SCM qobi, ST, TEXT, WSPC


Comments

How much is the time limit?

goharshady @ 26 Aug 2010 01:46 AM

How much is the time limit?

@admin what is wrong with my

coolsainideepak @ 29 Aug 2010 09:02 PM

@admin what is wrong with my code???

I too feel some problem , i

gunjanbansal @ 10 Oct 2010 04:11 PM

I too feel some problem , i am iterating over all solutions (may have TLE not wrong answer). The equation is quite simple of the form Sum( (Cx*(A^y) )%B ) , where x and y varies in a region. Sample test case answer is correct. i tried using "newline" and without newline.

It's strange. Same code is

vikash @ 24 Dec 2010 09:33 PM

It's strange. Same code is running on windows properly but not on linux machines :) grrr...!

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