Medium
You are given a string s
of even length consisting of digits from 0
to 9
, and two integers a
and b
.
You can apply either of the following two operations any number of times and in any order on s
:
a
to all odd indices of s
(0-indexed). Digits post 9
are cycled back to 0
. For example, if s = "3456"
and a = 5
, s
becomes "3951"
.s
to the right by b
positions. For example, if s = "3456"
and b = 1
, s
becomes "6345"
.Return the lexicographically smallest string you can obtain by applying the above operations any number of times on s
.
A string a
is lexicographically smaller than a string b
(of the same length) if in the first position where a
and b
differ, string a
has a letter that appears earlier in the alphabet than the corresponding letter in b
. For example, "0158"
is lexicographically smaller than "0190"
because the first position they differ is at the third letter, and '5'
comes before '9'
.
Example 1:
Input: s = “5525”, a = 9, b = 2
Output: “2050”
Explanation: We can apply the following operations:
Start: “5525”
Rotate: “2555”
Add: “2454”
Add: “2353”
Rotate: “5323”
Add: “5222”
Add: “5121”
Rotate: “2151”
Add: “2050”
There is no way to obtain a string that is lexicographically smaller then “2050”.
Example 2:
Input: s = “74”, a = 5, b = 1
Output: “24”
Explanation: We can apply the following operations:
Start: “74”
Rotate: “47”
Add: “42”
Rotate: “24”
There is no way to obtain a string that is lexicographically smaller then “24”.
Example 3:
Input: s = “0011”, a = 4, b = 2
Output: “0011”
Explanation: There are no sequence of operations that will give us a lexicographically smaller string than “0011”.
Constraints:
2 <= s.length <= 100
s.length
is even.s
consists of digits from 0
to 9
only.1 <= a <= 9
1 <= b <= s.length - 1
@Suppress("NAME_SHADOWING")
class Solution {
private var ans = "z"
private fun dfs(s: String, a: Int, b: Int, set: HashSet<String>) {
if (set.contains(s)) {
return
}
set.add(s)
val one = add(s, a)
val two = rotate(s, b)
dfs(one, a, b, set)
dfs(two, a, b, set)
}
private fun add(s: String, a: Int): String {
var s = s
val temp = s.toCharArray()
var i = 1
while (i < temp.size) {
var `val` = temp[i].code - '0'.code
`val` = (`val` + a) % 10
temp[i] = (`val` + '0'.code).toChar()
i += 2
}
s = String(temp)
if (ans > s) {
ans = s
}
return s
}
private fun rotate(s: String, b: Int): String {
var s = s
var b = b
if (b < 0) {
b += s.length
}
b %= s.length
b = s.length - b
s = s.substring(b) + s.substring(0, b)
if (ans > s) {
ans = s
}
return s
}
fun findLexSmallestString(s: String, a: Int, b: Int): String {
val set = HashSet<String>()
dfs(s, a, b, set)
return ans
}
}