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#F2923. Another Problem on Strings

    ID: 2929 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字符串双指针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

Another Problem on Strings

题目描述

C. Another Problem on Strings
time limit per test
2 seconds
memory limit per test
256 megabytes
input
standard input
output
standard output

A string is binary, if it consists only of characters "0" and "1".

String v is a substring of string w if it has a non-zero length and can be read starting from some position in string w. For example, string "010" has six substrings: "0", "1", "0", "01", "10", "010". Two substrings are considered different if their positions of occurrence are different. So, if some string occurs multiple times, we should consider it the number of times it occurs.

You are given a binary string s. Your task is to find the number of its substrings, containing exactly k characters "1".

Input

The first line contains the single integer k (0≤k≤106). The second line contains a non-empty binary string s. The length of s does not exceed 106 characters.

Output

Print the single number − the number of substrings of the given string, containing exactly k characters "1".

Please do not use 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.

Examples
Input
1
1010
Output
6
Input
2
01010
Output
4
Input
100
01010
Output
0
Note

In the first sample the sought substrings are: "1", "1", "10", "01", "10", "010".

In the second sample the sought substrings are: "101", "0101", "1010", "01010".


题目来源:fps-www.educg.net-codeforce-1-2833.xml.zip;FPS 共享题包,题包内第 2596 题。保留原作者与原赛事署名。