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Leetcode #2639: Find the Width of Columns of a Grid

In this guide, we solve Leetcode #2639 Find the Width of Columns of a Grid in Python and focus on the core idea that makes the solution efficient.

You will see the intuition, the step-by-step method, and a clean Python implementation you can use in interviews.

Leetcode

Problem Statement

You are given a 0-indexed m x n integer matrix grid. The width of a column is the maximum length of its integers.

Quick Facts

  • Difficulty: Easy
  • Premium: No
  • Tags: Array, Matrix

Intuition

Grid problems are easiest when you define clear row/column boundaries.

A consistent traversal order prevents off-by-one errors.

Approach

Iterate by rows, columns, or layers depending on the requirement.

Keep bounds updated as the traversal progresses.

Steps:

  • Define bounds or directions.
  • Visit cells in order.
  • Update result and move bounds.

Example

Input: grid = [[1],[22],[333]] Output: [3] Explanation: In the 0th column, 333 is of length 3.

Python Solution

class Solution: def findColumnWidth(self, grid: List[List[int]]) -> List[int]: return [max(len(str(x)) for x in col) for col in zip(*grid)]

Complexity

The time complexity is O(m×n)O(m \times n)O(m×n), and the space complexity is O(log⁡M)O(\log M)O(logM). The space complexity is O(log⁡M)O(\log M)O(logM).

Edge Cases and Pitfalls

Watch for boundary values, empty inputs, and duplicate values where applicable. If the problem involves ordering or constraints, confirm the invariant is preserved at every step.

Summary

This Python solution focuses on the essential structure of the problem and keeps the implementation interview-friendly while meeting the constraints.


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