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FindTheSmallest 5kyu

You have a positive number n consisting of digits. You can do at most one operation: Choosing the index of a digit in the number, remove this digit at that index and insert it back to another place in the number.

Doing so, find the smallest number you can get.

Task

Return an array or a tuple or a string depending on the language (see "Sample Tests") with

  1. the smallest number you got
  2. the index i of the digit d you took, i as small as possible
  3. the index j (as small as possible) where you insert this digit d to have the smallest number.

Example

smallest(261235) --> [126235, 2, 0] or (126235, 2, 0) or "126235, 2, 0"

126235 is the smallest number gotten by taking 1 at index 2 and putting it at index 0

smallest(209917) --> [29917, 0, 1] or ...

[29917, 1, 0] could be a solution too but index i in [29917, 1, 0] is greater than index i in [29917, 0, 1].

29917 is the smallest number gotten by taking 2 at index 0 and putting it at index 1 which gave 029917 which is the number 29917.

smallest(1000000) --> [1, 0, 6] or ...

Note

Have a look at "Sample Tests" to see the input and output in each language