Description
You are given a 0-indexed m x n integer matrix grid. The width of a column is the maximum length of its integers.
- For example, if
grid = [[-10], [3], [12]], the width of the only column is3since-10is of length3.
Return an integer array ans of size n where ans[i] is the width of the ith column.
The length of an integer x with len digits is equal to len if x is non-negative, and len + 1 otherwise.
Example 1:
Input: grid = [[1],[22],[333]] Output: [3] Explanation: In the 0th column, 333 is of length 3.
Example 2:
Input: grid = [[-15,1,3],[15,7,12],[5,6,-2]] Output: [3,1,2] Explanation: In the 0th column, only -15 is of length 3. In the 1st column, all integers are of length 1. In the 2nd column, both 12 and -2 are of length 2.
Constraints:
m == grid.lengthn == grid[i].length1 <= m, n <= 100-109 <= grid[r][c] <= 109
Solutions
Solution 1: Simulation
We denote the number of columns in the matrix as n, and create an array ans of length n, where ans[i] represents the width of the i-th column. Initially, ans[i] = 0.
We traverse each row in the matrix. For each element in each row, we calculate its string length w, and update the value of ans[j] to be max(ans[j], w).
After traversing all rows, each element in the array ans is the width of the corresponding column.
The time complexity is O(m × n), and the space complexity is O(log M). Where m and n are the number of rows and columns in the matrix respectively, and M is the absolute value of the maximum element in the matrix.
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)](code-box)
