Rotate image leetcode 48 javascript

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leetcode problem 48, titled "rotate image," involves rotating a given n x n matrix (representing an image) 90 degrees clockwise. the challenge requires you to perform this operation in-place, meaning you must modify the matrix without using additional space for another matrix.

to achieve the rotation, the algorithm typically involves two main steps: first, transposing the matrix, which means flipping it over its diagonal, and then reversing each row. the transpose operation switches the rows and columns of the matrix, while the reversal of each row ensures the 90-degree clockwise rotation is completed.

the problem tests understanding of matrix manipulation and in-place algorithms, focusing on optimizing space complexity. it is often tackled using nested loops to access and modify the matrix elements. the solution has a time complexity of o(n^2), where n is the dimension of the matrix, and it operates with o(1) additional space.
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