Reshape the Matrix
Given an m x n matrix, reshape it to r x c. If not possible, return the original matrix.
Output each row on a line, space-separated.
Example:
1,2 3,4 1 4
1 2 3 4
- The input matrix is 1×2, with values
1,2and3,4, but the actual matrix is defined by the first line as a 1×2 matrix with values1and2, and the second line as a 1×2 matrix with values3and4. - The target reshape dimensions are given as
1 4, meaning 1 row and 4 columns, but since the total number of elements in the original matrix is 4 (2 elements per row × 2 rows), we can reshape it to 1×4. - We then flatten the original matrix into a single array:
[1, 2, 3, 4]. - The final output is this flattened array reshaped into 1×4 dimensions:
1 2 3 4
Constraints:
- 1 <= m, n <= 100
Background Knowledge
The problem involves matrix operations, specifically reshaping a given matrix from one dimension to another. To understand this, it's essential to know that a matrix is a two-dimensional array of numbers, symbols, or expressions, arranged in rows and columns. The size of a matrix is denoted by its number of rows (m) and columns (n), making it an m x n matrix. Reshaping a matrix means changing its dimensions while keeping the total number of elements the same.
In the context of linear algebra and array operations, reshaping is a common task. It's crucial to understand that the total number of elements in the original matrix must be equal to the total number of elements in the reshaped matrix. This means that the product of the original dimensions (m * n) must be equal to the product of the new dimensions (r * c). If this condition is not met, reshaping is not possible without altering the data, and the original matrix is returned.
Understanding how to iterate through a matrix, access its elements, and manipulate its dimensions is fundamental to solving this problem. Array indexing and looping are key concepts here, as they allow you to traverse the matrix and perform operations on its elements. Additionally, being familiar with conditional statements will help in determining whether the reshaping is possible based on the given dimensions.
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