Codeforces 373B Making sequences is fun

Making sequences is funTime limit:2000MS Memory Limit:262144KB 64bit IO Format:%i64d &%i6 4u SubmitStatusPracticecodeforces 373B

Description

We ' ll define S(n) for positive integer n as follows:the number of the n' s Digits in the decimal base. For example, s(893) = 3,s(114514) = 6.

You want to make a consecutive integer sequence starting from number m (m, m + 1, ...). But you need to pay S(n) • K to add the numbern to the sequence.

You can spend a cost up to W, and you want to make the sequence as long as possible. Write a program that tells sequence ' s maximum length.

Input

The first line contains three integers w (1≤ w ≤10^{), m (1≤ m ≤10), k (1≤ k ≤109).}

Please, don't write the %lld specifier to read or write 64-bit integers in C + +. It is preferred to use the CIN, cout streams or the %i64dspecifier.

Output

The first line should contain a single integer-the answer to the problem.

Sample Input

Input

9 1 1

Output

9

Input

77 7 7

Output

7

Input

114 5 14

Output

6

Input

1 1 2

Output

0

1#include <stdio.h>2#include <string.h>3 Long LongSS (Long Longa)4 {5     Long Longx=0;6      while(a>0)7     {8a=a/Ten;9X + +;Ten         //printf ("%i64d\n", a); One     } A     returnx; - } -  the Long LongNumLong Longx) - { -     Long Longi,y=1; -      for(i=1; i<=x;i++) +y=y*Ten; -     returny; + } A intMain () at { -     Long Longw,m,k; -     inti,j; -      while(SCANF ("%i64d%i64d%i64d", &w,&m,&k)! =EOF) -     { -         Long Longn=0, nu,ww,mm; in         Long Longoo=SS (m); -nu=num (oo); toww=w/K; +          while(ww>0) -         { themm=ww/Oo; *n=n+mm; $             if(n>=nu-m)Panax Notoginseng             { -mm=mm-(n-nu+m); then=nu-m; +ww=ww-oo*mm; Aoo++; thenu=num (oo); +             } -             Else $             { $ww=ww-oo*mm; -             } -             if(mm==0) the                  Break; -             //printf ("%i64d%i64d%i64d", WW,);Wuyi         } theprintf"%i64d\n", n); -     } Wu     return 0; -}

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Codeforces 373B Making sequences is fun