Medium
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.
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:
'a' == 'a'
.'a' == 'b'
implies 'b' == 'a'
.'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
.
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.@Suppress("NAME_SHADOWING")
class Solution {
lateinit var parent: IntArray
fun smallestEquivalentString(s1: String, s2: String, baseStr: String): String? {
parent = IntArray(26)
val n = s1.length
var result = ""
for (i in 0..25) parent[i] = i
for (i in 0 until n) {
union(s1[i].code - 'a'.code, s2[i].code - 'a'.code)
}
val base = 'a'.code
for (element in baseStr) {
result += (base + find(element.code - 'a'.code)).toChar()
}
return result
}
private fun union(a: Int, b: Int) {
val parentA = find(a)
val parentB = find(b)
if (parentA != parentB) {
if (parentA < parentB) {
parent[parentB] = parentA
} else {
parent[parentA] = parentB
}
}
}
private fun find(x: Int): Int {
var x = x
while (parent[x] != x) {
x = parent[x]
}
return x
}
}