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Increasing Decreasing String

You are given a string s.

You are given a string s. Reorder the string using the following algorithm:

If the smallest or largest character appears more than once, you may choose any occurrence to append to the result.

Return the resulting string after reordering s using this algorithm.

Increasing Decreasing String diagram

Example 1

Input: s = "aaaabbbbcccc"

Output: "abccbaabccba"

Explanation: After steps 1, 2 and 3 of the first iteration, result = "abc" After steps 4, 5 and 6 of the first iteration, result = "abccba" First iteration is done. Now s = "aabbcc" and we go back to step 1 After steps 1, 2 and 3 of the second iteration, result = "abccbaabc" After steps 4, 5 and 6 of the second iteration, result = "abccbaabccba"

Example 2

Input: s = "rat"

Output: "art"

Explanation: The word "rat" becomes "art" after re-ordering it with the mentioned algorithm.

Constraints

  • 1 <= s.length <= 500
  • s consists of only lowercase English letters.

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