Leetcode Problem 1632. Rank Transform of a Matrix

1632. Rank Transform of a Matrix

Leetcode Solutions

Sorting + Union-Find

  1. Define Union-Find data structure with path compression.
  2. Initialize Union-Find for each unique value in the matrix.
  3. Iterate through the matrix, performing union operations for cells that are in the same row or column.
  4. Create a mapping from values to their connected components (sets of cells).
  5. Sort the unique values in the matrix.
  6. Initialize the answer matrix with the same dimensions as the input matrix.
  7. Iterate through the sorted values, and for each value, iterate through its connected components.
  8. For each connected component, find the maximum rank in the corresponding rows and columns, and assign the rank to all cells in the component.
  9. Update the row and column maximum rank arrays.
  10. Return the answer matrix.
UML Thumbnail

Sorting + BFS

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