Repeated Subsubstring Pattern

LeetCode September - Day 3

Problem Statement

Given a non-empty string check if it can be constructed by taking a substring of it and appending multiple copies of the substring together. You may assume the given string consists of lowercase English letters only and its length will not exceed 10000.

Example 1:

Input: "abab"
Output: True
Explanation: It's the substring "ab" twice.

Example 2:

Input: "aba"
Output: False

Example 3:

Input: "abcabcabcabc"
Output: True
Explanation: It's the substring "abc" four times. (And the substring "abcabc" twice.)

Inputs, Outputs, Constraints & Exceptions

  • I:
  • O:
  • C:
  • E:

Code

/**
 * @param {string} s
 * @return {boolean}
 */
function repeatedSubstringPattern(s) {
  let sLen = s.length;
  for (let i = Math.floor(sLen / 2); i >= 0; i--) {
    if (sLen % i === 0) {
      let numRepeats = sLen / i;
      if (s.substring(0, i).repeat(numRepeats) === s) {
        return true;
      }
    }
  }
  return false;
}

Time complexity: O($S *\sqrt{S}$)
- where S is the length of the input string Space complexity: O(1)