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Two-Dimensional Arrays

Two-dimensional arrays represent data in a grid structure with rows and columns. Common patterns include transposing matrices, rotating grids 90 degrees, and searching within sorted 2D arrays. These operations are fundamental to linear algebra and spatial data processing.

Use Cases

  • Representing game boards, maps, and spatial data
  • Image rotation and transformation operations
  • Searching in sorted matrices for efficient lookups

Complexity Analysis

MetricBestAverageWorst
TimeO(m+n)O(m*n)O(m*n)
SpaceO(m*n)

Visualization

102132435465768798Original matrix123456789
Speed:1x
Transpose 3×3 matrix (swap elements across diagonal)Step 1 / 6

Implementation

Output

Click "Run Code" to see output...