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B. Making Sequences is Fun

time limit per test

2 secondsmemory limit per test

256 megabytesinput

standard inputoutput

standard outputWe'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 number *n* 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^{16}), *m* (1 ≤ *m* ≤ 10^{16}), *k* (1 ≤ *k* ≤ 10^{9}).

Please, do not write the %lld specifier to read or write 64-bit integers in C++. It is preferred to use the cin, cout streams or the %I64d specifier.

Output

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

Examples

Input

9 1 1

Output

9

Input

77 7 7

Output

7

Input

114 5 14

Output

6

Input

1 1 2

Output

0

Codeforces (c) Copyright 2010-2017 Mike Mirzayanov

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