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Length of longest substring having all characters as K

Given a string S and a character K. The task is to find the length of the longest substring of S having all characters the same as character K.

Examples: 

Input: S = “abcd1111aabc”, K = ‘1’ 
Output:
Explanation: 
1111 is the largest substring of length 4.

Input: S = “#1234#@@abcd”, K = ‘@’ 
Output:
Explanation: 
@@ is the largest substring of length 2.

Approach: The idea is to iterate over the string and check the following two conditions:

  • If the current character is the same as character K then increase the value of the counter by one.
  • If the current character is not the same as K then update the previous count and reinitialize the counter to 0.
  • Repeat the steps above till the length of the string.

Below is the implementation of the above approach:

C++




// C++ program for the above approach
 
#include <bits/stdc++.h>
using namespace std;
 
// Function to find the length of
// longest sub-string having all
// characters same as character K
int length_substring(string S, char K)
{
    // Initialize variables
    int curr_cnt = 0, prev_cnt = 0, max_len;
 
    // Iterate till size of string
    for (int i = 0; i < S.size(); i++) {
 
        // Check if current character is K
        if (S[i] == K) {
            curr_cnt += 1;
        }
 
        else {
            prev_cnt = max(prev_cnt, curr_cnt);
            curr_cnt = 0;
        }
    }
 
    prev_cnt = max(prev_cnt, curr_cnt);
 
    // Assigning the max
    // value to max_len
    max_len = prev_cnt;
 
    return max_len;
}
 
// Driver code
int main()
{
    string S = "abcd1111aabc";
    char K = '1';
 
    // Function call
    cout << length_substring(S, K);
    return 0;
}


Java




// Java program for
// the above approach
import java.util.*;
class GFG {
 
// Function to find the length of
// longest sub-string having all
// characters same as character K
static int length_substring(String S,
                            char K)
{
  // Initialize variables
  int curr_cnt = 0, prev_cnt = 0,
      max_len;
 
  // Iterate till size of string
  for (int i = 0; i < S.length(); i++)
  {
    // Check if current character is K
    if (S.charAt(i) == K)
    {
      curr_cnt += 1;
    }
    else
    {
      prev_cnt = Math.max(prev_cnt,
                          curr_cnt);
      curr_cnt = 0;
    }
  }
 
  prev_cnt = Math.max(prev_cnt,
                      curr_cnt);
 
  // Assigning the max
  // value to max_len
  max_len = prev_cnt;
 
  return max_len;
}
 
// Driver code
public static void main(String[] args)
{
  String S = "abcd1111aabc";
  char K = '1';
 
  // Function call
  System.out.print(length_substring(S, K));
}
}
 
// This code is contributed by Chitranayal


Python3




# Python3 program for the above approach
 
# Function to find the length of
# longest sub-string having all
# characters same as character K
def length_substring(S, K):
     
    # Initialize variables
    curr_cnt = 0
    prev_cnt = 0
    max_len = 0
 
    # Iterate till size of string
    for i in range(len(S)):
 
        # Check if current character is K
        if (S[i] == K):
            curr_cnt += 1
        else:
            prev_cnt = max(prev_cnt,
                           curr_cnt)
            curr_cnt = 0
 
    prev_cnt = max(prev_cnt, curr_cnt)
 
    # Assigning the max
    # value to max_len
    max_len = prev_cnt
 
    return max_len
 
# Driver code
if __name__ == '__main__':
     
    S = "abcd1111aabc"
    K = '1'
 
    # Function call
    print(length_substring(S, K))
 
# This code is contributed by mohit kumar 29


C#




// C# program for the above approach
using System;
 
class GFG{
 
// Function to find the length of
// longest sub-string having all
// characters same as character K
static int length_substring(string S, char K)
{
     
    // Initialize variables
    int curr_cnt = 0, prev_cnt = 0, max_len;
     
    // Iterate till size of string
    for(int i = 0; i < S.Length; i++)
    {
         
        // Check if current character is K
        if (S[i] == K)
        {
            curr_cnt += 1;
        }
        else
        {
            prev_cnt = Math.Max(prev_cnt,
                                curr_cnt);
            curr_cnt = 0;
        }
    }
    prev_cnt = Math.Max(prev_cnt, curr_cnt);
     
    // Assigning the max
    // value to max_len
    max_len = prev_cnt;
    return max_len;
}
 
// Driver code
static public void Main()
{
    string S = "abcd1111aabc";
    char K = '1';
     
    // Function call
    Console.WriteLine(length_substring(S, K));
}
}
 
// This code is contributed by rag2127


Javascript




<script>
 
// Javascript program for
// the above approach
 
// Function to find the length of
// longest sub-string having all
// characters same as character K
function length_substring(S, K)
{
     
    // Initialize variables
    let curr_cnt = 0, prev_cnt = 0,
    max_len;
     
    // Iterate till size of string
    for(let i = 0; i < S.length; i++)
    {
         
        // Check if current character is K
        if (S[i] == K)
        {
            curr_cnt += 1;
        }
        else
        {
            prev_cnt = Math.max(prev_cnt,
                                curr_cnt);
            curr_cnt = 0;
        }
    }
     
    prev_cnt = Math.max(prev_cnt,
                        curr_cnt);
     
    // Assigning the max
    // value to max_len
    max_len = prev_cnt;
     
    return max_len;
}
 
// Driver code
let S = "abcd1111aabc";
let K = '1';
 
// Function call
document.write(length_substring(S, K));
 
// This code is contributed by avanitrachhadiya2155
 
</script>


Output: 

4

Time Complexity: O(N) 
Auxiliary Space: O(1)

Another approach to solve above problem :-

  • Define a function length_substring(S, K) that takes a string S and a character K as input.
  • In the function, initialize left, right, max_len, count, and freq. left and right are pointers that point to the leftmost and rightmost indices of the current substring being considered. max_len is the length of the longest substring found so far. count is the number of characters in the current substring that are not equal to K. freq is a list of 26 elements that stores the frequency of each character in the current substring.
  • While right is less than the length of S, increment the frequency of the character at S[right] in freq. If S[right] is not equal to K, increment count.
  • While count is greater than 0, decrement the frequency of the character at S[left] in freq. If S[left] is not equal to K, decrement count and increment left.
  • Update max_len to be the maximum of max_len and right-left+1.
  • Increment right and repeat steps 3-5 until right is equal to the length of S.
  • Return max_len.

Here is the implementation of above approach:-

C++




#include <iostream>
#include <string>
using namespace std;
 
int length_substring(string S, char K) {
    int left = 0, right = 0;
    int max_len = 0, count = 0;
    int freq[26] = {0};
 
    while (right < S.length()) {
        freq[S[right]-'a'] += 1;
        if (S[right] != K) {
            count += 1;
        }
 
        while (count > 0) {
            freq[S[left]-'a'] -= 1;
            if (S[left] != K) {
                count -= 1;
            }
            left += 1;
        }
 
        max_len = max(max_len, right-left+1);
        right += 1;
    }
 
    return max_len;
}
 
int main() {
    string S = "abcd1111aabc";
    char K = '1';
    cout << length_substring(S, K) << endl;
    return 0;
}


Java




import java.util.*;
 
public class Main {
    public static int length_substring(String S, char K) {
        int left = 0, right = 0;
        int max_len = 0, count = 0;
        int[] freq = new int[26];
 
        while (right < S.length()) {
            char c = S.charAt(right);
            if (c >= 'a' && c <= 'z') {
                freq[c-'a'] += 1;
                if (c != K) {
                    count += 1;
                }
            }
 
            while (count > 0) {
                char d = S.charAt(left);
                if (d >= 'a' && d <= 'z') {
                    freq[d-'a'] -= 1;
                    if (d != K) {
                        count -= 1;
                    }
                }
                left += 1;
            }
 
            max_len = Math.max(max_len, right-left+1);
            right += 1;
        }
 
        return max_len;
    }
 
    public static void main(String[] args) {
        String S = "abcd1111aabc";
        char K = '1';
        System.out.println(length_substring(S, K));
    }
}


Python3




import re
 
def length_substring(S, K):
    pattern = r'[' + K + r']+'
    substrings = re.findall(pattern, S)
    if not substrings:
        return 0
    return max(map(len, substrings))
 
if __name__ == '__main__':
    S = "abcd1111aabc"
    K = '1'
    print(length_substring(S, K))


C#




using System;
 
public class MainClass {
    public static int length_substring(string S, char K) {
        int left = 0, right = 0;
        int max_len = 0, count = 0;
        int[] freq = new int[256]; // initialize array with a larger size
 
        while (right < S.Length) {
            freq[S[right]] += 1;
            if (S[right] != K) {
                count += 1;
            }
 
            while (count > 0) {
                freq[S[left]] -= 1;
                if (S[left] != K) {
                    count -= 1;
                }
                left += 1;
            }
 
            max_len = Math.Max(max_len, right-left+1);
            right += 1;
        }
 
        return max_len;
    }
 
    public static void Main(string[] args) {
        string S = "abcd1111aabc";
        char K = '1';
        Console.WriteLine(length_substring(S, K));
    }
}


Javascript




function lengthSubstring(S, K) {
    let left = 0;
    let right = 0;
    let maxLen = 0;
    let count = 0;
    let freq = new Array(26).fill(0);
 
    while (right < S.length) {
        freq[S.charCodeAt(right) - 'a'.charCodeAt(0)] += 1;
        if (S[right] != K) {
            count += 1;
        }
 
        while (count > 0) {
            freq[S.charCodeAt(left) - 'a'.charCodeAt(0)] -= 1;
            if (S[left] != K) {
                count -= 1;
            }
            left += 1;
        }
 
        maxLen = Math.max(maxLen, right - left + 1);
        right += 1;
    }
 
    return maxLen;
}
 
const S = "abcd1111aabc";
const K = '1';
console.log(lengthSubstring(S, K));


Output

4

Time complexity:

  • The while loop runs for each character in the string, so it has a time complexity of O(n).
  • The inner while loop also runs at most n times, so it has a time complexity of O(n) as well.
  • The operations inside the loops are all constant time operations, so they don’t affect the time complexity.
  • Therefore, the overall time complexity of the algorithm is O(n).

Space Complexity:

  • The algorithm uses a frequency array of size 26, which is constant space.
  • Therefore, the space complexity of the algorithm is O(1).
     
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