Longest Substring Without Repeating Characters

To solve this coding challenge of finding the longest substring without repeating characters, we can use a sliding window approach. This challenge can be efficiently solved by using two pointers and a hash map (or dictionary) to keep track of the characters and their positions.

Explanation

In this problem, we need to identify the longest substring within a given string
s
that does not contain any repeating characters. A sliding window is an effective method to achieve this, where we use two pointers (
left
and
right
) to represent the current window of characters being considered. By using a hash map, we store the most recent index of each character.
Here is a step-by-step method to solve the challenge:
  1. Initialize two pointers:
    • left
      (beginning of the current window)
    • right
      (end of the current window)
  2. Initialize a dictionary (
    char_position
    ) to store the most recent index of each character within the current window.
  3. Initialize a variable (
    max_length
    ) to track the length of the longest substring without repeating characters.
  4. Iterate through the string using the
    right
    pointer:
    • If the current character exists in the dictionary and its stored index is within the current window, move the
      left
      pointer just after the previous occurrence of the current character to ensure no duplicates within the window.
    • Update the length of the longest substring, if the current window is larger.
    • Update the dictionary with the current character's position.
  5. Return the longest length found.
With this understanding, we can transform the steps into the following pseudocode:

Detailed Steps in Pseudocode

                                            
# Initialize the necessary variables
Initialize char_position as an empty dictionary  # To store the last occurrence of characters
Initialize left as 0  # Starting index of the window
Initialize max_length as 0  # Maximum length of substring without repeating characters

# Iterate over the string with the end index representing the current character
For right from 0 to the length of the string (s):
    # If the current character is already in the dictionary and is within the current window
    If s[right] is in char_position and char_position[s[right]] >= left:
        # Move the left pointer to the right of the last occurrence of the current character
        left = char_position[s[right]] + 1

    # Calculate the window size and update the maximum length if necessary
    max_length = max(max_length, right - left + 1)
    
    # Update the current character's position in the dictionary
    char_position[s[right]] = right

# Return the maximum length of the substring found
Return max_length

                                        

Explanation of Key Points

  • Initializing Dictionary : The dictionary is used to track the most recent positions where characters appeared.
  • Updating Left Pointer : If a character repeats itself and is within the current window, the left pointer is moved just after its previous index to ensure that the substring within the window remains distinct.
  • Updating Maximum Length : On every iteration, the size of the current window is checked and the maximum length is updated accordingly.
  • Final Return : After looping through the string, the variable
    max_length
    holds the length of the longest substring without repeating characters.
This approach ensures that each character in the string is processed efficiently, leading to an average time complexity of O(n). This methodology incorporates key techniques like sliding windows and hash map usage, making it not just effective but also educational in understanding common patterns for similar problems.