Count of sub-strings that are divisible by K Last Updated : 03 Apr, 2023 Comments Improve Suggest changes Like Article Like Report Given an integer K and a numeric string str (all the characters are from the range ['0', '9']). The task is to count the number of sub-strings of str that are divisible by K. Examples: Input: str = "33445", K = 11 Output: 3 Sub-strings that are divisible by 11 are "33", "44" and "3344" Input: str = "334455", K = 11 Output: 6 Approach: Initialize count = 0. Take all the sub-strings of str and check whether they are divisible by K or not. If yes, then update count = count + 1. Print the count in the end. Below is the implementation of the above approach: C++ // C++ implementation of the approach #include <bits/stdc++.h> using namespace std; // Function to return the count of sub-strings // of str that are divisible by k int countSubStr(string str, int len, int k) { int count = 0; for (int i = 0; i < len; i++) { int n = 0; // Take all sub-strings starting from i for (int j = i; j < len; j++) { n = n * 10 + (str[j] - '0'); // If current sub-string is divisible by k if (n % k == 0) count++; } } // Return the required count return count; } // Driver code int main() { string str = "33445"; int len = str.length(); int k = 11; cout << countSubStr(str, len, k); return 0; } Java // Java implementation of above approach class GFG { // Function to return the count of sub-strings // of str that are divisible by k static int countSubStr(String str, int len, int k) { int count = 0; for (int i = 0; i < len; i++) { int n = 0; // Take all sub-strings starting from i for (int j = i; j < len; j++) { n = n * 10 + (str.charAt(j) - '0'); // If current sub-string is divisible by k if (n % k == 0) count++; } } // Return the required count return count; } // Driver code public static void main(String []args) { String str = "33445"; int len = str.length(); int k = 11; System.out.println(countSubStr(str, len, k)); } } // This code is contributed by Ryuga Python3 # Python 3 implementation of the approach # Function to return the count of sub-strings # of str that are divisible by k def countSubStr(str, l, k): count = 0 for i in range(l): n = 0 # Take all sub-strings starting from i for j in range(i, l, 1): n = n * 10 + (ord(str[j]) - ord('0')) # If current sub-string is divisible by k if (n % k == 0): count += 1 # Return the required count return count # Driver code if __name__ == '__main__': str = "33445" l = len(str) k = 11 print(countSubStr(str, l, k)) # This code is contributed by # Sanjit_Prasad C# // C# implementation of above approach using System; class GFG { // Function to return the count of sub-strings // of str that are divisible by k static int countSubStr(String str, int len, int k) { int count = 0; for (int i = 0; i < len; i++) { int n = 0; // Take all sub-strings starting from i for (int j = i; j < len; j++) { n = n * 10 + (str[j] - '0'); // If current sub-string is divisible by k if (n % k == 0) count++; } } // Return the required count return count; } // Driver code public static void Main() { String str = "33445"; int len = str.Length; int k = 11; Console.WriteLine(countSubStr(str, len, k)); } } // This code is contributed by Code_Mech PHP <?php // PHP implementation of the approach // Function to return the count of sub-strings // of str that are divisible by k function countSubStr($str, $len, $k) { $count = 0; for ($i = 0; $i < $len; $i++) { $n = 0; // Take all sub-strings starting from i for ($j = $i; $j < $len; $j++) { $n = $n * 10 + ($str[$j] - '0'); // If current sub-string is // divisible by k if ($n % $k == 0) $count++; } } // Return the required count return $count; } // Driver code $str = "33445"; $len = strlen($str); $k = 11; echo countSubStr($str, $len, $k); // This code is contributed // by Shivi_Aggarwal ?> JavaScript <script> // Javascript implementation of above approach // Function to return the count of sub-strings // of str that are divisible by k function countSubStr(str, len, k) { let count = 0; for(let i = 0; i < len; i++) { let n = 0; // Take all sub-strings starting from i for(let j = i; j < len; j++) { n = n * 10 + (str[j].charCodeAt() - '0'.charCodeAt()); // If current sub-string is // divisible by k if (n % k == 0) count++; } } // Return the required count return count; } // Driver code let str = "33445"; let len = str.length; let k = 11; document.write(countSubStr(str, len, k)); // This code is contributed by mukesh07 </script> Output3 Time Complexity: O(n2), where n is the length of the given string.Auxiliary Space: O(1), no extra space is required, so it is a constant. Efficient Approach : The idea is to use a hashMap to store the remainders of each suffix of the string so that any suffix if it is already present int the hashMap then the substring between them is divisible by k. Below is the implementation of the above idea. C++ // C++ program to count number of substrings // divisible by k. #include <bits/stdc++.h> using namespace std; int divisible(string s, int k) { // To count substrings int num_of_substrings = 0; // To store the remainders int rem[k]; memset(rem, 0, sizeof(rem)); rem[0] = 1; string curr = ""; // Iterate from len(s) - 1 to 0 for (int i = s.length() - 1; i >= 0; i--) { // To calculate suffix string curr = s[i] + curr; // Convert to number int num = stoi(curr); num_of_substrings += rem[num % k]; // Keep track of visited remainders rem[num % k]++; } // Return number of substrings return num_of_substrings; } // Driver code int main() { string s = "111111"; int k = 11; cout << "Number of sub strings : " << divisible(s, k) << endl; return 0; } Java // Java Program for above approach import java.util.*; public class Main { // Program to count number of substrings public static int Divisible(String s, int k) { // To count substrings int num_of_substrings = 0; // To store the remainders int rem[] = new int[k]; rem[0] = 1; StringBuffer curr = new StringBuffer(); // Iterate from s.length() - 1 to 0 for (int i = s.length() - 1; i >= 0; i--) { // to Calculate suffix string curr.insert(0, s.charAt(i)); // convert to number long num = Long.parseLong(curr. toString()); num_of_substrings += rem[(int)num % k]; // Keep track of visited remainders rem[(int)num % k]++; } // Return number of substrings return num_of_substrings; } // Driver Code public static void main(String args[]) { String s = "111111"; int k = 11; // Function Call System.out.println("Number of sub strings : " + Divisible(s, k)); } } Python3 # Python program for the above approach def divisible(s, k): # To count substrings num_of_substrings = 0 # To store the remainders rem = [0] * k rem[0] = 1 curr = "" # Iterate from len(s) - 1 to 0 for i in range(len(s) - 1, -1, -1): # to Calculate suffix string curr = s[i] + curr # convert to number num = int(curr) num_of_substrings += rem[num % k] # Keep track of visited remainders rem[num % k] += 1 # Return number of substrings return num_of_substrings # Driver Code s = "111111" k = 11 # Function Call print("Number of sub strings : ", divisible(s, k)) # This code is contributed by Prince Kumar C# // C# Program for above approach using System; using System.Text; public class GFG { // Program to count number of substrings public static int Divisible(string s, int k) { // To count substrings int num_of_substrings = 0; // To store the remainders int[] rem = new int[k]; rem[0] = 1; StringBuilder curr = new StringBuilder(); // Iterate from s.length() - 1 to 0 for (int i = s.Length - 1; i >= 0; i--) { // to Calculate suffix string curr.Insert(0, s[i]); // convert to number long num = Convert.ToInt64(Convert.ToString(curr)); num_of_substrings += rem[(int)num % k]; // Keep track of visited remainders rem[(int)num % k]++; } // Return number of substrings return num_of_substrings; } // Driver Code public static void Main(string[] args) { string s = "111111"; int k = 11; // Function Call Console.WriteLine("Number of sub strings : " + Divisible(s, k)); } } // This code is contributed by phasing17 JavaScript // JavaScript implementation of the approach function divisible(s, k) { // To count substrings let num_of_substrings = 0; // To store the remainders let rem = new Array(k).fill(0); rem[0] = 1; let curr = ""; // Iterate from len(s) - 1 to 0 for (let i = s.length - 1; i >= 0; i--) { // to Calculate suffix string curr = s[i] + curr; // convert to number let num = parseInt(curr); num_of_substrings += rem[num % k]; // Keep track of visited remainders rem[num % k] += 1; } // Return number of substrings return num_of_substrings; } // Driver Code let s = "111111"; let k = 11; // Function Call console.log("Number of sub strings : ", divisible(s, k)); // This code is contributed by codebraxnzt OutputNumber of sub strings : 9 Time Complexity: O(n2)Auxiliary Space: O(k) Comment More infoAdvertise with us Next Article Analysis of Algorithms M Mukund Agarwal Follow Improve Article Tags : Strings C++ Programs DSA Practice Tags : Strings Similar Reads Basics & PrerequisitesLogic Building ProblemsLogic building is about creating clear, step-by-step methods to solve problems using simple rules and principles. 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