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Problem

Submissions

Divisible Substrings

Contributed by

Ratnesh

Easy

0/40

15 mins

75 %

3 upvotes

Problem Statement

You are given a number in the form of a string ‘S’ of length ‘N’ consisting of characters from '0' to '9' (both inclusive) .

You must return the number of substrings that are divisible by 5. Some strings divisible by 5 are ‘5’, ‘370’, and ‘1000’.

Note :

A substring can start with a zero. The given number may also contain leading zeroes.

Example:

‘S'= ‘5203’

Here, four substrings are divisible by 5: ‘5’, ’520’, ‘20’, ‘0’.
Hence the answer is 4.

Detailed explanation ( Input/output format, Notes, Images )

Input Format

First-line contains 'T', denoting the number of Test cases.

For each Test case:

The first line contains an integer ‘N’ denoting the string ‘S’ length.
The second line contains a string ‘S’ of size ‘N’.

Output format :

Return an integer denoting the total number of substrings whose integral value are divisible by 5.

Note:-

You don't need to print anything. Just implement the given function.

Constraints :

1 <= 'T' <= 10
1 <= 'N' <= 10^5
'0' <= 'S[i]' <= '9'


Time Limit: 1 sec

Sample Input 1 :

Sample Output 1 :

6
5

Explanation Of Sample Input 1 :

For test case 1:

‘S'= ‘35602’
Here, six substrings are divisible by 5: ‘35’, ’3560’, ‘5’, ‘560’, ‘60’, ‘0’.
Hence the answer is 6.


For test case 2:

‘S'= ‘100’
Here, five substrings are divisible by 5: ‘10’, ’100’, ‘0’, ‘00’, ‘0’.
Hence the answer is 5.

Sample Input 2 :

Sample Output 2 :

0
9

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