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Lexicographically Smallest Equivalent String

Medium

You receive two strings of the same length s1 and s2 and a string baseStr .

We say s1[i] and s2[i] are equivalent characters.

  • For example, if s1 = "abc" and s2 = "cde" , then we have 'a' == 'c' , 'b' == 'd' , and 'c' == 'e' .

Equivalent characters follow the usual rules of any equivalence relation:

  • Reflexivity: 'a' == 'a' .

  • Symmetry: 'a' == 'b' implies 'b' == 'a' .

  • Transitivity: 'a' == 'b' and 'b' == 'c' implies 'a' == 'c' .

For example, given the equivalency information from s1 = "abc" and s2 = "cde" , "acd" and "aab" are equivalent texts of baseStr = "eed" , and "aab" is the lexicographically smallest equivalent string of baseStr .

Produce the lexicographically smallest equivalent string of baseStr by using the equivalency information from s1 and s2 .

Example 1

Input: s1 = "parker", s2 = "morris", baseStr = "parser"

Output: "makkek"

Explanation: Based on the equivalency information in s1 and s2, we can group their characters as [m,p], [a,o], [k,r,s], [e,i].

The characters in each group are equivalent and sorted in lexicographical order.

So the answer is "makkek".

Example 2

Input: s1 = "hello", s2 = "world", baseStr = "hold"

Output: "hdld"

Explanation: Based on the equivalency information in s1 and s2, we can group their characters as [h,w], [d,e,o], [l,r].

So only the second letter 'o' in baseStr is changed to 'd', the answer is "hdld".

Example 3

Input: s1 = "impoldev", s2 = "programs", baseStr = "sourcecode"

Output: "sguececgae"

Explanation: Using the equivalence information from s1 and s2, each character in baseStr is replaced by the smallest equivalent character available, producing "sguececgae".

Constraints

  • 1 <= s1.length, s2.length, baseStr.length <= 1000
  • s1.length == s2.length
  • s1 , s2 , and baseStr consist of lowercase English letters.

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