How to Solve Lexicographically Smallest Equivalent String Leetcode Problem - Interview Coder Guide
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How to Solve Lexicographically Smallest Equivalent String Problem

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Medium#1058
LeetCode Problem

Lexicographically Smallest Equivalent String

You are given 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' =...

StringUnion Find

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Problem Breakdown

Understanding the Lexicographically Smallest Equivalent String Problem

Let's break down this LeetCode problem and understand what makes it challenging in interview settings.

Problem Statement

You are given 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 strings of baseStr = "eed", and "aab" is the lexicographically smallest equivalent string of baseStr. Return the lexicographically smallest equivalent string of baseStr by using the equivalency information from s1 and s2.

MediumProblem #1058
LeetCode

Lexicographically Smallest Equivalent String

Related Topics
StringUnion Find
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Examples

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 = "leetcode", s2 = "programs", baseStr = "sourcecode"
OUTPUT
"aauaaaaada"
EXPLANATION

We group the equivalent characters in s1 and s2 as [a,o,e,r,s,c], [l,p], [g,t] and [d,m], thus all letters in baseStr except 'u' and 'd' are transformed to 'a', the answer is "aauaaaaada".

Constraints

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

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