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'.
\n
Example 1:
\n\n\nInput: s = "5525", a = 9, b = 2\nOutput: "2050"\nExplanation: We can apply the following operations:\nStart: "5525"\nRotate: "2555"\nAdd: "2454"\nAdd: "2353"\nRotate: "5323"\nAdd: "5222"\nAdd: "5121"\nRotate: "2151"\nAdd: "2050"\nThere is no way to obtain a string that is lexicographically smaller than "2050".\n\n\n
Example 2:
\n\n\nInput: s = "74", a = 5, b = 1\nOutput: "24"\nExplanation: We can apply the following operations:\nStart: "74"\nRotate: "47"\nAdd: "42"\nRotate: "24"\nThere is no way to obtain a string that is lexicographically smaller than "24".\n\n\n
Example 3:
\n\n\nInput: s = "0011", a = 4, b = 2\nOutput: "0011"\nExplanation: There are no sequence of operations that will give us a lexicographically smaller string than "0011".\n\n\n
\n
Constraints:
\n\n2 <= s.length <= 100s.length is even.s consists of digits from 0 to 9 only.1 <= a <= 91 <= b <= s.length - 1Compiled with clang 11 using the latest C++ 20 standard.
Your code is compiled with level two optimization (-O2). AddressSanitizer is also enabled to help detect out-of-bounds and use-after-free bugs.
Most standard library headers are already included automatically for your convenience.
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