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Greatest Common Divisor of Strings

For two strings s and t, we say "t divides s" if and only if s = t + t + t + ...

For two strings s and t, we say "t divides s" if and only if s = t + t + t + ... + t + t (i.e., t is concatenated with itself one or more times).

Given two strings str1 and str2, return the largest string x such that x divides both str1 and str2.

Example 1

Input: str1 = "ABCABC", str2 = "ABC"

Output: "ABC"

Example 2

Input: str1 = "ABABAB", str2 = "ABAB"

Output: "AB"

Example 3

Input: str1 = "LEET", str2 = "CODE"

Output: ""

Constraints

  • 1 <= str1.length, str2.length <= 1000
  • str1 and str2 consist of English uppercase letters.

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