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Using a Robot to Print the Lexicographically Smallest String

You are given a string s and a robot that currently holds an empty string t.

You are given a string s and a robot that currently holds an empty string t. Apply one of the following operations until s and t are both empty:

Return the lexicographically smallest string that can be written on the paper.

Using a Robot to Print the Lexicographically Smallest String diagram

Example 1

Input: s = "zza"

Output: "azz"

Explanation: Let p denote the written string. Initially p="", s="zza", t="". Perform first operation three times p="", s="", t="zza". Perform second operation three times p="azz", s="", t="".

Example 2

Input: s = "bac"

Output: "abc"

Explanation: Let p denote the written string. Perform first operation twice p="", s="c", t="ba". Perform second operation twice p="ab", s="c", t="". Perform first operation p="ab", s="", t="c". Perform second operation p="abc", s="", t="".

Example 3

Input: s = "bdda"

Output: "addb"

Explanation: Let p denote the written string. Initially p="", s="bdda", t="". Perform first operation four times p="", s="", t="bdda". Perform second operation four times p="addb", s="", t="".

Constraints

  • 1 <= s.length <= 10^5
  • s consists of only English lowercase letters.

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