Query Kth Smallest Trimmed Number — LeetCode 2343 Python Solution

MediumArrayStringDivide and ConquerQuickselectRadix SortSortingHeap (Priority Queue)
Problem
#2343
Reading time
2 min

The problem

You are given a 0-indexed array of strings nums, where each string is of equal length and consists of only digits. You are also given a 0-indexed 2D integer array queries where queries[i] = [ki, trimi].

Example

Input
nums = ["102","473","251","814"], queries = [[1,1],[2,3],[4,2],[1,2]]
Output
[2,2,1,0]
Explanation
1. After trimming to the last digit, nums = ["2","3","1","4"]. The smallest number is 1 at index 2.

Python solution

Python
class Solution:
    def smallestTrimmedNumbers(
        self, nums: List[str], queries: List[List[int]]
    ) -> List[int]:
        ans = []
        for k, trim in queries:
            t = sorted((v[-trim:], i) for i, v in enumerate(nums))
            ans.append(t[k - 1][1])
        return ans

Complexity

MeasureComplexity
TimeO(m \times n \times \log n \times s)
SpaceO(n) auxiliary

Pattern: Heap / Priority Queue

Keep only the best k elements, or always pull the smallest, in log time. LeetCode 2343. Query Kth Smallest Trimmed Number is filed here on both counts: the reference solution below belongs to the algorithm family this hub collects, and LeetCode tags it Heap (Priority Queue).

The heap / priority queue guide has the Python template for the pattern and the 163 LeetCode problems that use it.

Related problems

Frequently asked questions

How hard is LeetCode 2343. Query Kth Smallest Trimmed Number?
LeetCode 2343. Query Kth Smallest Trimmed Number is rated Medium on LeetCode.
What is the time complexity of LeetCode 2343. Query Kth Smallest Trimmed Number?
The Python solution on this page runs in O(m \times n \times \log n \times s).
What is the space complexity of LeetCode 2343. Query Kth Smallest Trimmed Number?
The Python solution on this page uses O(n) auxiliary space.
What topics does LeetCode 2343. Query Kth Smallest Trimmed Number cover?
LeetCode 2343. Query Kth Smallest Trimmed Number is tagged Array, String, Divide and Conquer, Quickselect, Radix Sort, Sorting and Heap (Priority Queue) on LeetCode.

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