Package g1601_1700.s1625_lexicographically_smallest_string_after_applying_operations

Class Solution

java.lang.Object
g1601_1700.s1625_lexicographically_smallest_string_after_applying_operations.Solution
public class Solution extends java.lang.Object
1625 - Lexicographically Smallest String After Applying Operations.

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:

  • Add 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".
  • Rotate 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

  • Constructor Summary

    Constructors
    Constructor
    Description
    Solution()
     

  • Method Summary

    Modifier and Type
    Method
    Description
    java.lang.String
    findLexSmallestString(java.lang.String s, int a, int b)
     

    Methods inherited from class java.lang.Object

    clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

  • Constructor Details

    • Solution

      public Solution()

  • Method Details

    • findLexSmallestString

      public java.lang.String findLexSmallestString(java.lang.String s, int a, int b)