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Problem solution · Python

Make Lexicographically Smallest Array by Swapping Elements

Make Lexicographically Smallest Array by Swapping Elements: a Python solution using sorting and greedy selection. Learn the idea, check the complexity, and read the full code, with credit to walkccc LeetCode Solutions.

Technique
Sorting and greedy selection
Source
walkccc LeetCode Solutions
Length
29 lines
Start with the idea.

Try the problem first. If you get stuck, read the approach below, then write your own solution. The full code is at the bottom.

Approach

Sorting and greedy selection

For Make Lexicographically Smallest Array by Swapping Elements, the implementation first exposes a useful order, then scans that order while making locally justified choices.

  1. Choose the key that reveals the greedy or grouping structure.
  2. Sort the relevant records by that key.
  3. Scan in order, maintaining the invariant that makes each local choice safe.

Code notes

  • 29 lines of Python from the credited upstream file 2948.py.
  • The implementation visibly relies on sequence storage.
  • No explicit loop blocks detected.

Complexity

Sorting is typically the dominant term unless the subsequent scan uses a more expensive nested operation.

Check the problem constraints before deciding whether this complexity will pass.

Source

Code and credit

This code comes from walkccc LeetCode Solutions by P.-Y. Chen (walkccc) and is used under the MIT licence.

Open problem ↗Original source ↗
Full codeMake Lexicographically Smallest Array by Swapping Elements · PythonPython
Use this to learn the idea, then write your own version.
class Solution:  def lexicographicallySmallestArray(      self,      nums: list[int],      limit: int,  ) -> list[int]:    ans = [0] * len(nums)    numAndIndexes = sorted([(num, i) for i, num in enumerate(nums)])    # [[(num, index)]], where the difference between in each pair in each    # `[(num, index)]` group <= `limit`    numAndIndexesGroups: list[list[tuple[int, int]]] = []     for numAndIndex in numAndIndexes:      if (not numAndIndexesGroups or              numAndIndex[0] - numAndIndexesGroups[-1][-1][0] > limit):        # Start a new group.        numAndIndexesGroups.append([numAndIndex])      else:        # Append to the existing group.        numAndIndexesGroups[-1].append(numAndIndex)     for numAndIndexesGroup in numAndIndexesGroups:      sortedNums = [num for num, _ in numAndIndexesGroup]      sortedIndices = sorted([index for _, index in numAndIndexesGroup])      for num, index in zip(sortedNums, sortedIndices):        ans[index] = num     return ans

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