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NumberOfZeros

START
Compute total number of zeros in decimal representation of 1, ...., N.
Programming language: Spoken language:

A positive integer N is given. Consider the sequence of numbers [0, 1, ..., N]. What is the total number of zeros in the decimal representations of these numbers?

N can be very large. Hence, it is given in the form of a non-empty string S of length L, containing a decimal representation of N. S contains no leading zeros.

Write a function:

int solution(char *S);

that, given a string S, which is a decimal representation of some positive integer N, returns the total number of zeros in the decimal representations of numbers [0, 1, ..., N]. If the result exceeds 1,410,000,016, the function should return the remainder from the division of the result by 1,410,000,017.

For example, for S="100" the function should return 12 and for S="219" it should return 42.

Write an efficient algorithm for the following assumptions:

  • L is an integer within the range [1..10,000];
  • string S consists only of digits (0−9);
  • string S contains no leading zeros.
Copyright 2009–2018 by Codility Limited. All Rights Reserved. Unauthorized copying, publication or disclosure prohibited.

A positive integer N is given. Consider the sequence of numbers [0, 1, ..., N]. What is the total number of zeros in the decimal representations of these numbers?

N can be very large. Hence, it is given in the form of a non-empty string S of length L, containing a decimal representation of N. S contains no leading zeros.

Write a function:

int solution(string &S);

that, given a string S, which is a decimal representation of some positive integer N, returns the total number of zeros in the decimal representations of numbers [0, 1, ..., N]. If the result exceeds 1,410,000,016, the function should return the remainder from the division of the result by 1,410,000,017.

For example, for S="100" the function should return 12 and for S="219" it should return 42.

Write an efficient algorithm for the following assumptions:

  • L is an integer within the range [1..10,000];
  • string S consists only of digits (0−9);
  • string S contains no leading zeros.
Copyright 2009–2018 by Codility Limited. All Rights Reserved. Unauthorized copying, publication or disclosure prohibited.

A positive integer N is given. Consider the sequence of numbers [0, 1, ..., N]. What is the total number of zeros in the decimal representations of these numbers?

N can be very large. Hence, it is given in the form of a non-empty string S of length L, containing a decimal representation of N. S contains no leading zeros.

Write a function:

class Solution { public int solution(string S); }

that, given a string S, which is a decimal representation of some positive integer N, returns the total number of zeros in the decimal representations of numbers [0, 1, ..., N]. If the result exceeds 1,410,000,016, the function should return the remainder from the division of the result by 1,410,000,017.

For example, for S="100" the function should return 12 and for S="219" it should return 42.

Write an efficient algorithm for the following assumptions:

  • L is an integer within the range [1..10,000];
  • string S consists only of digits (0−9);
  • string S contains no leading zeros.
Copyright 2009–2018 by Codility Limited. All Rights Reserved. Unauthorized copying, publication or disclosure prohibited.

A positive integer N is given. Consider the sequence of numbers [0, 1, ..., N]. What is the total number of zeros in the decimal representations of these numbers?

N can be very large. Hence, it is given in the form of a non-empty string S of length L, containing a decimal representation of N. S contains no leading zeros.

Write a function:

func Solution(S string) int

that, given a string S, which is a decimal representation of some positive integer N, returns the total number of zeros in the decimal representations of numbers [0, 1, ..., N]. If the result exceeds 1,410,000,016, the function should return the remainder from the division of the result by 1,410,000,017.

For example, for S="100" the function should return 12 and for S="219" it should return 42.

Write an efficient algorithm for the following assumptions:

  • L is an integer within the range [1..10,000];
  • string S consists only of digits (0−9);
  • string S contains no leading zeros.
Copyright 2009–2018 by Codility Limited. All Rights Reserved. Unauthorized copying, publication or disclosure prohibited.

A positive integer N is given. Consider the sequence of numbers [0, 1, ..., N]. What is the total number of zeros in the decimal representations of these numbers?

N can be very large. Hence, it is given in the form of a non-empty string S of length L, containing a decimal representation of N. S contains no leading zeros.

Write a function:

class Solution { public int solution(String S); }

that, given a string S, which is a decimal representation of some positive integer N, returns the total number of zeros in the decimal representations of numbers [0, 1, ..., N]. If the result exceeds 1,410,000,016, the function should return the remainder from the division of the result by 1,410,000,017.

For example, for S="100" the function should return 12 and for S="219" it should return 42.

Write an efficient algorithm for the following assumptions:

  • L is an integer within the range [1..10,000];
  • string S consists only of digits (0−9);
  • string S contains no leading zeros.
Copyright 2009–2018 by Codility Limited. All Rights Reserved. Unauthorized copying, publication or disclosure prohibited.

A positive integer N is given. Consider the sequence of numbers [0, 1, ..., N]. What is the total number of zeros in the decimal representations of these numbers?

N can be very large. Hence, it is given in the form of a non-empty string S of length L, containing a decimal representation of N. S contains no leading zeros.

Write a function:

function solution(S);

that, given a string S, which is a decimal representation of some positive integer N, returns the total number of zeros in the decimal representations of numbers [0, 1, ..., N]. If the result exceeds 1,410,000,016, the function should return the remainder from the division of the result by 1,410,000,017.

For example, for S="100" the function should return 12 and for S="219" it should return 42.

Write an efficient algorithm for the following assumptions:

  • L is an integer within the range [1..10,000];
  • string S consists only of digits (0−9);
  • string S contains no leading zeros.
Copyright 2009–2018 by Codility Limited. All Rights Reserved. Unauthorized copying, publication or disclosure prohibited.

A positive integer N is given. Consider the sequence of numbers [0, 1, ..., N]. What is the total number of zeros in the decimal representations of these numbers?

N can be very large. Hence, it is given in the form of a non-empty string S of length L, containing a decimal representation of N. S contains no leading zeros.

Write a function:

function solution(S)

that, given a string S, which is a decimal representation of some positive integer N, returns the total number of zeros in the decimal representations of numbers [0, 1, ..., N]. If the result exceeds 1,410,000,016, the function should return the remainder from the division of the result by 1,410,000,017.

For example, for S="100" the function should return 12 and for S="219" it should return 42.

Write an efficient algorithm for the following assumptions:

  • L is an integer within the range [1..10,000];
  • string S consists only of digits (0−9);
  • string S contains no leading zeros.
Copyright 2009–2018 by Codility Limited. All Rights Reserved. Unauthorized copying, publication or disclosure prohibited.

A positive integer N is given. Consider the sequence of numbers [0, 1, ..., N]. What is the total number of zeros in the decimal representations of these numbers?

N can be very large. Hence, it is given in the form of a non-empty string S of length L, containing a decimal representation of N. S contains no leading zeros.

Write a function:

int solution(NSString *S);

that, given a string S, which is a decimal representation of some positive integer N, returns the total number of zeros in the decimal representations of numbers [0, 1, ..., N]. If the result exceeds 1,410,000,016, the function should return the remainder from the division of the result by 1,410,000,017.

For example, for S="100" the function should return 12 and for S="219" it should return 42.

Write an efficient algorithm for the following assumptions:

  • L is an integer within the range [1..10,000];
  • string S consists only of digits (0−9);
  • string S contains no leading zeros.
Copyright 2009–2018 by Codility Limited. All Rights Reserved. Unauthorized copying, publication or disclosure prohibited.

A positive integer N is given. Consider the sequence of numbers [0, 1, ..., N]. What is the total number of zeros in the decimal representations of these numbers?

N can be very large. Hence, it is given in the form of a non-empty string S of length L, containing a decimal representation of N. S contains no leading zeros.

Write a function:

function solution(S: PChar): longint;

that, given a string S, which is a decimal representation of some positive integer N, returns the total number of zeros in the decimal representations of numbers [0, 1, ..., N]. If the result exceeds 1,410,000,016, the function should return the remainder from the division of the result by 1,410,000,017.

For example, for S="100" the function should return 12 and for S="219" it should return 42.

Write an efficient algorithm for the following assumptions:

  • L is an integer within the range [1..10,000];
  • string S consists only of digits (0−9);
  • string S contains no leading zeros.
Copyright 2009–2018 by Codility Limited. All Rights Reserved. Unauthorized copying, publication or disclosure prohibited.

A positive integer N is given. Consider the sequence of numbers [0, 1, ..., N]. What is the total number of zeros in the decimal representations of these numbers?

N can be very large. Hence, it is given in the form of a non-empty string S of length L, containing a decimal representation of N. S contains no leading zeros.

Write a function:

function solution($S);

that, given a string S, which is a decimal representation of some positive integer N, returns the total number of zeros in the decimal representations of numbers [0, 1, ..., N]. If the result exceeds 1,410,000,016, the function should return the remainder from the division of the result by 1,410,000,017.

For example, for S="100" the function should return 12 and for S="219" it should return 42.

Write an efficient algorithm for the following assumptions:

  • L is an integer within the range [1..10,000];
  • string S consists only of digits (0−9);
  • string S contains no leading zeros.
Copyright 2009–2018 by Codility Limited. All Rights Reserved. Unauthorized copying, publication or disclosure prohibited.

A positive integer N is given. Consider the sequence of numbers [0, 1, ..., N]. What is the total number of zeros in the decimal representations of these numbers?

N can be very large. Hence, it is given in the form of a non-empty string S of length L, containing a decimal representation of N. S contains no leading zeros.

Write a function:

sub solution { my ($S)=@_; ... }

that, given a string S, which is a decimal representation of some positive integer N, returns the total number of zeros in the decimal representations of numbers [0, 1, ..., N]. If the result exceeds 1,410,000,016, the function should return the remainder from the division of the result by 1,410,000,017.

For example, for S="100" the function should return 12 and for S="219" it should return 42.

Write an efficient algorithm for the following assumptions:

  • L is an integer within the range [1..10,000];
  • string S consists only of digits (0−9);
  • string S contains no leading zeros.
Copyright 2009–2018 by Codility Limited. All Rights Reserved. Unauthorized copying, publication or disclosure prohibited.

A positive integer N is given. Consider the sequence of numbers [0, 1, ..., N]. What is the total number of zeros in the decimal representations of these numbers?

N can be very large. Hence, it is given in the form of a non-empty string S of length L, containing a decimal representation of N. S contains no leading zeros.

Write a function:

def solution(S)

that, given a string S, which is a decimal representation of some positive integer N, returns the total number of zeros in the decimal representations of numbers [0, 1, ..., N]. If the result exceeds 1,410,000,016, the function should return the remainder from the division of the result by 1,410,000,017.

For example, for S="100" the function should return 12 and for S="219" it should return 42.

Write an efficient algorithm for the following assumptions:

  • L is an integer within the range [1..10,000];
  • string S consists only of digits (0−9);
  • string S contains no leading zeros.
Copyright 2009–2018 by Codility Limited. All Rights Reserved. Unauthorized copying, publication or disclosure prohibited.

A positive integer N is given. Consider the sequence of numbers [0, 1, ..., N]. What is the total number of zeros in the decimal representations of these numbers?

N can be very large. Hence, it is given in the form of a non-empty string S of length L, containing a decimal representation of N. S contains no leading zeros.

Write a function:

def solution(s)

that, given a string S, which is a decimal representation of some positive integer N, returns the total number of zeros in the decimal representations of numbers [0, 1, ..., N]. If the result exceeds 1,410,000,016, the function should return the remainder from the division of the result by 1,410,000,017.

For example, for S="100" the function should return 12 and for S="219" it should return 42.

Write an efficient algorithm for the following assumptions:

  • L is an integer within the range [1..10,000];
  • string S consists only of digits (0−9);
  • string S contains no leading zeros.
Copyright 2009–2018 by Codility Limited. All Rights Reserved. Unauthorized copying, publication or disclosure prohibited.

A positive integer N is given. Consider the sequence of numbers [0, 1, ..., N]. What is the total number of zeros in the decimal representations of these numbers?

N can be very large. Hence, it is given in the form of a non-empty string S of length L, containing a decimal representation of N. S contains no leading zeros.

Write a function:

object Solution { def solution(s: String): Int }

that, given a string S, which is a decimal representation of some positive integer N, returns the total number of zeros in the decimal representations of numbers [0, 1, ..., N]. If the result exceeds 1,410,000,016, the function should return the remainder from the division of the result by 1,410,000,017.

For example, for S="100" the function should return 12 and for S="219" it should return 42.

Write an efficient algorithm for the following assumptions:

  • L is an integer within the range [1..10,000];
  • string S consists only of digits (0−9);
  • string S contains no leading zeros.
Copyright 2009–2018 by Codility Limited. All Rights Reserved. Unauthorized copying, publication or disclosure prohibited.

A positive integer N is given. Consider the sequence of numbers [0, 1, ..., N]. What is the total number of zeros in the decimal representations of these numbers?

N can be very large. Hence, it is given in the form of a non-empty string S of length L, containing a decimal representation of N. S contains no leading zeros.

Write a function:

public func solution(inout S : String) -> Int

that, given a string S, which is a decimal representation of some positive integer N, returns the total number of zeros in the decimal representations of numbers [0, 1, ..., N]. If the result exceeds 1,410,000,016, the function should return the remainder from the division of the result by 1,410,000,017.

For example, for S="100" the function should return 12 and for S="219" it should return 42.

Write an efficient algorithm for the following assumptions:

  • L is an integer within the range [1..10,000];
  • string S consists only of digits (0−9);
  • string S contains no leading zeros.
Copyright 2009–2018 by Codility Limited. All Rights Reserved. Unauthorized copying, publication or disclosure prohibited.

A positive integer N is given. Consider the sequence of numbers [0, 1, ..., N]. What is the total number of zeros in the decimal representations of these numbers?

N can be very large. Hence, it is given in the form of a non-empty string S of length L, containing a decimal representation of N. S contains no leading zeros.

Write a function:

public func solution(_ S : inout String) -> Int

that, given a string S, which is a decimal representation of some positive integer N, returns the total number of zeros in the decimal representations of numbers [0, 1, ..., N]. If the result exceeds 1,410,000,016, the function should return the remainder from the division of the result by 1,410,000,017.

For example, for S="100" the function should return 12 and for S="219" it should return 42.

Write an efficient algorithm for the following assumptions:

  • L is an integer within the range [1..10,000];
  • string S consists only of digits (0−9);
  • string S contains no leading zeros.
Copyright 2009–2018 by Codility Limited. All Rights Reserved. Unauthorized copying, publication or disclosure prohibited.

A positive integer N is given. Consider the sequence of numbers [0, 1, ..., N]. What is the total number of zeros in the decimal representations of these numbers?

N can be very large. Hence, it is given in the form of a non-empty string S of length L, containing a decimal representation of N. S contains no leading zeros.

Write a function:

Private Function solution(S As String) As Integer

that, given a string S, which is a decimal representation of some positive integer N, returns the total number of zeros in the decimal representations of numbers [0, 1, ..., N]. If the result exceeds 1,410,000,016, the function should return the remainder from the division of the result by 1,410,000,017.

For example, for S="100" the function should return 12 and for S="219" it should return 42.

Write an efficient algorithm for the following assumptions:

  • L is an integer within the range [1..10,000];
  • string S consists only of digits (0−9);
  • string S contains no leading zeros.
Copyright 2009–2018 by Codility Limited. All Rights Reserved. Unauthorized copying, publication or disclosure prohibited.

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