lexicographically-smallest-generated-string

lexicographically-smallest-generated-string


You are given two strings, str1 and str2, of lengths n and m, respectively.



A string word of length n + m - 1 is defined to be generated by str1 and str2 if it satisfies the following conditions for each index 0 <= i <= n - 1:




  • If str1[i] == 'T', the substring of word with size m starting at index i is equal to str2, i.e., word[i..(i + m - 1)] == str2.

  • If str1[i] == 'F', the substring of word with size m starting at index i is not equal to str2, i.e., word[i..(i + m - 1)] != str2.



Return the lexicographically smallest possible string that can be generated by str1 and str2. If no string can be generated, return an empty string "".



 


Example 1:




Input: str1 = "TFTF", str2 = "ab"



Output: "ababa"



Explanation:



The table below represents the string "ababa"






Index
T/F
Substring of length m


0
'T'
"ab"


1
'F'
"ba"


2
'T'
"ab"


3
'F'
"ba"




The strings "ababa" and "ababb" can be generated by str1 and str2.



Return "ababa" since it is the lexicographically smaller string.




Example 2:




Input: str1 = "TFTF", str2 = "abc"



Output: ""



Explanation:



No string that satisfies the conditions can be generated.




Example 3:




Input: str1 = "F", str2 = "d"



Output: "a"




 


Constraints:




  • 1 <= n == str1.length <= 104

  • 1 <= m == str2.length <= 500

  • str1 consists only of 'T' or 'F'.

  • str2 consists only of lowercase English characters.


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