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Word Break Problem

Certification: Intermediate Level Accuracy: 100% Submissions: 1 Points: 10

Implement a function `wordBreak(s, wordDict)` that determines if a string `s` can be segmented into a space-separated sequence of one or more dictionary words. The same word in the dictionary may be reused multiple times in the segmentation. Return `True` if possible, otherwise `False`.

Example 1
    

  • Input: 
s = "Tutorialspoint"
wordDict = ["Tutorials","point"]
    • 

  • Output: True
    • 

  • Explanation: 
      

    • Step 1: Take the input string "Tutorialspoint".
      • 

    • Step 2: Check if it can be segmented using words from wordDict.
      • 

    • Step 3: The string can be divided into "Tutorials" and "point".
      • 

    • Step 4: Both "Tutorials" and "point" are in wordDict.
      • 

    • Step 5: Therefore, return True as "Tutorialspoint" can be segmented as"Tutorials point".
      • 

    

    •
Example 2
    

  • Input: 
s = "applepenapple"
wordDict = ["apple", "pen"]
    • 

  • Output: True
    • 

  • Explanation: 
      

    • Step 1: Take the input string "applepenapple".
      • 

    • Step 2: Check if it can be segmented using words from wordDict.
      • 

    • Step 3: The string can be divided into "apple", "pen", and "apple".
      • 

    • Step 4: All these segments are in wordDict.
      • 

    • Step 5: Note that the same word "apple" is used twice in the segmentation.
      • 

    • Step 6: Therefore, return True as "applepenapple" can be segmented as "apple pen apple".
      • 

    

    •
Constraints
    

  • 1 ≤ s.length ≤ 300
    • 

  • 1 ≤ wordDict.length ≤ 1000
    • 

  • 1 ≤ wordDict[i].length ≤ 20
    • 

  • s and wordDict[i] consist of only lowercase English letters
    • 

  • All the strings of wordDict are unique
    • 

  • Time Complexity: O(n²) where n is the length of string s
    • 

  • Space Complexity: O(n)
    •
ArraysDynamic Programming HCL TechnologiesZomato
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Hint
Solution

Solution Hints

    
  
  • Consider using dynamic programming to avoid redundant calculations
    • 
  
  • Use a boolean array dp[i] to indicate whether s[0...i-1] can be segmented
    • 
  
  • For each position i, check if any previous position j makes dp[j] true and s[j...i-1] is in the wordDict
    • 
  
  • Memoization can significantly improve performance for recursive approaches
    • 
  
  • Consider using a trie data structure for efficient word lookup
    •

Steps to solve by this approach:

 Step 1: Convert the word dictionary to a set for O(1) lookups

 Step 2: Create a dynamic programming array dp[] where dp[i] represents whether s[0:i] can be segmented

 Step 3: Initialize dp[0] = True since an empty string can always be segmented

 Step 4: For each position i, check all previous positions j where dp[j] is true

 Step 5: If dp[j] is true and s[j:i] is in wordDict, set dp[i] to true and continue to the next i

Submitted Code :