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#F0728. Really Big Numbers

    ID: 734 传统题 2000ms 256MiB 尝试: 0 已通过: 0 难度: 4 上传者: 标签>二分枚举动态规划数学算法思想进阶难度共享题库Codeforces英文题面题目来源题面语言

Really Big Numbers

题目描述

C. Really Big Numbers
time limit per test
1 second
memory limit per test
256 megabytes
input
standard input
output
standard output

Ivan likes to learn different things about numbers, but he is especially interested in really big numbers. Ivan thinks that a positive integer number x is really big if the difference between x and the sum of its digits (in decimal representation) is not less than s. To prove that these numbers may have different special properties, he wants to know how rare (or not rare) they are − in fact, he needs to calculate the quantity of really big numbers that are not greater than n.

Ivan tried to do the calculations himself, but soon realized that it's too difficult for him. So he asked you to help him in calculations.

Input

The first (and the only) line contains two integers n and s (1≤n,s≤1018).

Output

Print one integer − the quantity of really big numbers that are not greater than n.

Examples
Input
12 1
Output
3
Input
25 20
Output
0
Input
10 9
Output
1
Note

In the first example numbers 10, 11 and 12 are really big.

In the second example there are no really big numbers that are not greater than 25 (in fact, the first really big number is 30: 30-3≥20).

In the third example 10 is the only really big number (10-1≥9).


题目来源:fps-www.educg.net-codeforce-1-2833.xml.zip;FPS 共享题包,题包内第 146 题。保留原作者与原赛事署名。