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# Largest substring where all characters appear at least K times | Set 2

• Difficulty Level : Hard
• Last Updated : 03 Jan, 2023

Given a string str and an integer K, the task is to find the length of the longest sub-string S such that every character in S appears at least K times.

Examples:

Input: str = “aabbba”, K = 3
Output:
Explanation:
In substring aabbba, each character repeats at least k times and its length is 6.

Input: str = “ababacb”, K = 3
Output:
Explanation:
There is no substring where each character repeats at least k times.

Naive Approach: We have discussed the Naive Approach in the previous post

Approach: In this post, we will discuss the approach using Divide and Conquer technique and Recursion. Below are the steps:

1. Store the frequency of each characters of the given string in a frequency array of size 26.
2. Initialize two variables start with 0 and end which is the length of the string str.
3. Iterate over the string from start to end and count the number of times each character repeats and store it in an array.
4. If any character repeats less than K times, then Divide the string into two halves. If i is the index of the string where we found that the string[i] repeats less than K times, then we divide the string into two halves from start to i and i + 1 to end.
5. Recursively call for the two halves in the above steps i.e., from start to i and i + 1 to end separately and repeat the Step 2 and 3 and return the maximum of the two values returned by the above recursive call.
6. If all the characters between start and end is repeated at least K times, then the answer is end – start.

Below is the implementation of the above approach:

## C++

 `// C++ program for the above approach ` `#include ` `using` `namespace` `std; `   `// Function to find the longest substring ` `int` `longestSubstring(``int` `start, ``int` `end, ` `                    ``string s, ``int` `k) ` `{ ` `    ``int` `left, right; `   `    ``// Array for counting the number of ` `    ``// times each character repeats ` `    ``// count the number of times each ` `    ``// character repeats from start to end ` `    ``int` `count = { 0 }; `   `    ``// Store the frequency from s[start...end] ` `    ``for` `(``int` `i = start; i < end; i++) { ` `        ``count[s[i] - ``'a'``] += 1; ` `    ``} `   `    ``// Iterate from [start, end] ` `    ``for` `(``int` `i = start; i < end; i++) { `   `        ``if` `(count[s[i] - ``'a'``] < k) { `   `            ``// Recursive call for left subpart ` `            ``left = longestSubstring(start, ` `                                    ``i, ` `                                    ``s, ` `                                    ``k); `   `            ``// Recursive call for right subpart ` `            ``right = longestSubstring(i + 1, ` `                                    ``end, ` `                                    ``s, ` `                                    ``k); `   `            ``// Return maximum of left & right ` `            ``return` `max(left, right); ` `        ``} ` `    ``} `   `    ``// If all the characters are repeated ` `    ``// at least k times ` `    ``return` `end - start; ` `} `   `// Driver Code ` `int` `main() ` `{ ` `    ``// Given String str ` `    ``string str = ``"aabbba"``; ` `    ``int` `k = 3; `   `    ``// Function Call ` `    ``cout << longestSubstring(0, str.length(), ` `                            ``str, k) ` `        ``<< endl; ` `    ``return` `0; ` `} `

## Java

 `// Java program for the above approach ` `import` `java.util.*; `   `class` `GFG{ `   `// Function to find the longest subString ` `static` `int` `longestSubString(``int` `start, ``int` `end, ` `                            ``String s, ``int` `k) ` `{ ` `    ``int` `left, right; `   `    ``// Array for counting the number of ` `    ``// times each character repeats ` `    ``// count the number of times each ` `    ``// character repeats from start to end ` `    ``int` `count[] = ``new` `int``[``26``]; `   `    ``// Store the frequency from s[start...end] ` `    ``for``(``int` `i = start; i < end; i++) ` `    ``{ ` `        ``count[s.charAt(i) - ``'a'``] += ``1``; ` `    ``} `   `    ``// Iterate from [start, end] ` `    ``for``(``int` `i = start; i < end; i++) ` `    ``{ ` `        ``if` `(count[s.charAt(i) - ``'a'``] < k) ` `        ``{ ` `            `  `            ``// Recursive call for left subpart ` `            ``left = longestSubString(start, i, ` `                                    ``s, k); `   `            ``// Recursive call for right subpart ` `            ``right = longestSubString(i + ``1``, end, ` `                                    ``s, k); `   `            ``// Return maximum of left & right ` `            ``return` `Math.max(left, right); ` `        ``} ` `    ``} `   `    ``// If all the characters are repeated ` `    ``// at least k times ` `    ``return` `end - start; ` `} `   `// Driver Code ` `public` `static` `void` `main(String[] args) ` `{ `   `    ``// Given String str ` `    ``String str = ``"aabbba"``; ` `    ``int` `k = ``3``; `   `    ``// Function Call ` `    ``System.out.print(longestSubString(``0``, str.length(), ` `                                        ``str, k) + ``"\n"``); ` `} ` `} `   `// This code is contributed by Amit Katiyar `

## Python3

 `# Python3 program for the above approach `   `# Function to find the longest substring ` `def` `longestSubString(start, end, s, k): ` `    `  `    ``# List for counting the number of ` `    ``# times each character repeats ` `    ``# count the number of times each ` `    ``# character repeats from start to end ` `    ``count ``=` `[``0` `for` `i ``in` `range``(``26``)] ` `    `  `    ``# Store the frequency from s[start...end] ` `    ``for` `i ``in` `range``(start, end): ` `        ``count[``ord``(s[i]) ``-` `ord``(``'a'``)] ``+``=` `1` `    `  `    ``# Iterate from [start, end] ` `    ``for` `i ``in` `range``(start, end): ` `        ``if``(count[ ``ord``(s[i]) ``-` `ord``(``'a'``)] < k): ` `            `  `            ``# Recursive call for left subpart ` `            ``left ``=` `longestSubString(start, i, ` `                                        ``s, k) ` `                                    `  `            ``# Recursive call for right subpart ` `            ``right ``=` `longestSubString(i ``+` `1``, end, ` `                                        ``s, k) ` `                                    `  `            ``# Return maximum of left & right ` `            ``return` `max``(left, right) ` `    `  `    ``# If all the characters are repeated ` `    ``# at least k times ` `    ``return` `end ``-` `start ` `    `  `# Driver Code `   `# Given String str ` `str` `=` `"aabbba"` `k ``=` `3`   `# Function call ` `print``(longestSubString(``0``, ``len``(``str``), ``str``, k)) `   `# This code is contributed by dadimadhav`

## C#

 `// C# program for the above approach` `using` `System;`   `class` `GFG{`   `// Function to find the longest subString` `static` `int` `longestSubString(``int` `start, ``int` `end,` `                             ``string` `s, ``int` `k)` `{` `    ``int` `left, right;`   `    ``// Array for counting the number of` `    ``// times each character repeats` `    ``// count the number of times each` `    ``// character repeats from start to end` `    ``int` `[]count = ``new` `int``;`   `    ``// Store the frequency from s[start...end]` `    ``for``(``int` `i = start; i < end; i++)` `    ``{` `        ``count[s[i] - ``'a'``] += 1;` `    ``}`   `    ``// Iterate from [start, end]` `    ``for``(``int` `i = start; i < end; i++)` `    ``{` `        ``if` `(count[s[i] - ``'a'``] < k) ` `        ``{` `            `  `            ``// Recursive call for left subpart` `            ``left = longestSubString(start, i,` `                                    ``s, k);`   `            ``// Recursive call for right subpart` `            ``right = longestSubString(i + 1, end,` `                                     ``s, k);`   `            ``// Return maximum of left & right` `            ``return` `Math.Max(left, right);` `        ``}` `    ``}`   `    ``// If all the characters are repeated` `    ``// at least k times` `    ``return` `end - start;` `}`   `// Driver Code` `public` `static` `void` `Main(``string``[] args)` `{` `    `  `    ``// Given String str` `    ``string` `str = ``"aabbba"``;` `    ``int` `k = 3;`   `    ``// Function call` `    ``Console.Write(longestSubString(0, str.Length,` `                                      ``str, k) + ``"\n"``);` `}` `}`   `// This code is contributed by rutvik_56`

## Javascript

 ``

Output:

`6`

Time Complexity: O(N*log2N)
Auxiliary Space: O(26) ⇒ O(1), no extra space is required, so it is a constant.

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