Rank Transform of a Matrix
Given an m x n matrix, return a new matrix answer where answer[row][col] is the rank of matrix[row][col].
Given an m x n matrix, return a new matrix answer where answer[row][col] is the rank of matrix[row][col].
The rank is an integer that represents how large an element is compared to other elements. It is calculated using the following rules:
The test cases are generated so that answer is unique under the given rules.
Example 1
Input: matrix = [[1,2],[3,4]]
Output: [[1,2],[2,3]]
Explanation: The rank of matrix[0][0] is 1 because it is the smallest integer in its row and column. The rank of matrix[0][1] is 2 because matrix[0][1] > matrix[0][0] and matrix[0][0] is rank 1. The rank of matrix[1][0] is 2 because matrix[1][0] > matrix[0][0] and matrix[0][0] is rank 1. The rank of matrix[1][1] is 3 because matrix[1][1] > matrix[0][1], matrix[1][1] > matrix[1][0], and both matrix[0][1] and matrix[1][0] are rank 2.
Example 2
Input: matrix = [[7,7],[7,7]]
Output: [[1,1],[1,1]]
Example 3
Input: matrix = [[20,-21,14],[-19,4,19],[22,-47,24],[-19,4,19]]
Output: [[4,2,3],[1,3,4],[5,1,6],[1,3,4]]
Constraints
- m == matrix.length
- n == matrix[i].length
- 1 <= m, n <= 500
- -10^9 <= matrix[row][col] <= 10^9
Hints
Companies
No companies reported yet.
Discussion
Sign in to join the discussion.
Loading discussion...
Test results
No test cases yet.