Determine Whether Matrix Can Be Obtained By Rotation Python/Java solution

A typical Python or Java solution rotates the matrix in 90-degree increments and compares it with the target matrix after each step. The logic uses nested loops to remap indices and runs in O(n^2) time with either constant or O(n^2) extra space depending on implementation.

What is the best approach for Determine Whether Matrix Can Be Obtained By Rotation?

The rotate-and-compare method is the most practical approach. Rotate the matrix by 90 degrees up to four times and compare it with the target matrix after each rotation. Each comparison scans all cells, giving an overall time complexity of O(n^2) and constant extra space.

Is Determine Whether Matrix Can Be Obtained By Rotation asked at Google/Amazon/Meta?

Matrix manipulation and rotation problems frequently appear in interviews at companies like Amazon, Google, and Meta. This problem tests understanding of index mapping in 2D arrays and careful iteration through matrix coordinates.

What data structure is used in Determine Whether Matrix Can Be Obtained By Rotation?

The problem primarily uses a 2D array (matrix). The solution relies on index transformations within the matrix to simulate 90°, 180°, and 270° rotations while iterating through elements for comparison.

What is the time complexity of Determine Whether Matrix Can Be Obtained By Rotation?

The time complexity is O(n^2). Each matrix comparison requires scanning all n x n elements, and there are at most four possible rotations. Since 4 is a constant, the complexity simplifies to O(n^2).

Description Hints 2 Solution Video 20:15

1886. Determine Whether Matrix Can Be Obtained By Rotation

Q: Is Determine Whether Matrix Can Be Obtained By Rotation easy or hard?

Determine Whether Matrix Can Be Obtained By Rotation is classified as an Easy problem on LeetCode. The challenge mainly involves understanding how indices change during a matrix rotation and implementing the comparison correctly.

Q: How to solve Determine Whether Matrix Can Be Obtained By Rotation in O(n^2)?

Perform up to four rotations of the matrix and compare with the target after each rotation. A 90° rotation maps position (i, j) to (j, n-1-i). Each rotation and comparison takes O(n^2), and since there are only four possible rotations, the overall complexity remains O(n^2).

Easy68.2% acceptance4 companies

Given two n x n binary matrices mat and target, return true if it is possible to make mat equal to target by rotating mat in 90-degree increments, or false otherwise.

Example 1:

Input: mat = [[0,1],[1,0]], target = [[1,0],[0,1]]
Output: true
Explanation: We can rotate mat 90 degrees clockwise to make mat equal target.

Example 2:

Input: mat = [[0,1],[1,1]], target = [[1,0],[0,1]]
Output: false
Explanation: It is impossible to make mat equal to target by rotating mat.

Example 3:

Input: mat = [[0,0,0],[0,1,0],[1,1,1]], target = [[1,1,1],[0,1,0],[0,0,0]]
Output: true
Explanation: We can rotate mat 90 degrees clockwise two times to make mat equal target.

Constraints: