algoadvance

Given a string sequence and a string word, return the maximum integer k such that word is a substring of sequence repeated k times.

Clarifying Questions

  1. Can sequence and word contain non-alphabetic characters?
    • Yes, both strings can contain any characters.
  2. Are sequence and word guaranteed to be non-empty?
    • Yes, sequence and word are non-empty as per the problem constraints.
  3. What is the maximum length of sequence and word?
    • Typically, LeetCode constraints allow lengths up to 1000 or more, but for concrete values, refer to specific problem constraints.

Strategy

The solution involves the following steps:

  1. Initialization: Set a counter k to keep track of the maximum repeating count.
  2. Repeated Substring: Construct a string repeated_word by repeating word k times.
  3. Checking Substring: Check if repeated_word is a substring in sequence.
  4. Increment and Check: Increment k until repeated_word is no longer a substring of sequence.
  5. Return Result: Return the maximum k - 1 because the loop exits when repeated_word is no longer a valid substring.

Code

def maxRepeating(sequence: str, word: str) -> int:
    k = 0
    while word * (k + 1) in sequence:
        k += 1
    return k

Time Complexity

Combining these, the overall time complexity in the worst case scenario would be O(k * m * n), where:

However, in practical use, the string operations are highly optimized, making this approach efficient for typical constraints.

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